omdl  v0.9.5
OpenSCAD Mechanical Design Library
polyhedra_all.scad
Go to the documentation of this file.
1 //! Polyhedra data table: \c polyhedra_all.
2 /***************************************************************************//**
3  \file
4  \author Roy Allen Sutton
5  \date 2017-2023
6 
7  \copyright
8 
9  This file is part of [omdl] (https://github.com/royasutton/omdl),
10  an OpenSCAD mechanical design library.
11 
12  The \em omdl is free software; you can redistribute it and/or modify
13  it under the terms of the [GNU Lesser General Public License]
14  (http://www.gnu.org/licenses/lgpl.html) as published by the Free
15  Software Foundation; either version 2.1 of the License, or (at
16  your option) any later version.
17 
18  The \em omdl is distributed in the hope that it will be useful,
19  but WITHOUT ANY WARRANTY; without even the implied warranty of
20  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
21  Lesser General Public License for more details.
22 
23  You should have received a copy of the GNU Lesser General Public
24  License along with the \em omdl; if not, write to the Free Software
25  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
26  02110-1301, USA; or see <http://www.gnu.org/licenses/>.
27 
28  \details
29 
30  This [omdl] formatted data table has been assembled using a script
31  that converts the polyhedra data obtained from [Anthony Thyssen]'s
32  [Studies into Polyhedra]. The vertices are tabulated in both their
33  original Cartesian as well as their converted spherical coordinate
34  form, which is convenient when scaling. The data originates from
35  one of three sources:
36 
37  \li Exact Mathematics as presented by [Anthony Thyssen],
38  \li the [Polyhedron Database] maintained by [Netlib], and
39  \li an [Encyclopedia of Polyhedra] by [George W. Hart].
40 
41  [omdl]: https://github.com/royasutton/omdl
42 
43  [Anthony Thyssen]: http://www.ict.griffith.edu.au/anthony/anthony.html
44  [Studies into Polyhedra]: http://www.ict.griffith.edu.au/anthony/graphics/polyhedra
45 
46  [George W. Hart]: http://www.georgehart.com
47  [Encyclopedia of Polyhedra]: http://www.georgehart.com/virtual-polyhedra/vp.html
48 
49  [Netlib]: http://www.netlib.org
50  [Polyhedron Database]: http://www.netlib.org/polyhedra
51 
52  \amu_pathid parent (++path_parent)
53  \amu_pathid group (++path)
54 
55  \ingroup \amu_eval(${group})
56 *******************************************************************************/
57 
58 //----------------------------------------------------------------------------//
59 /***************************************************************************//**
60  \addtogroup \amu_eval(${parent})
61  @{
62 
63  \defgroup \amu_eval(${group}) Polyhedra
64  \brief Tables of polyhedra vertices, faces, and edges.
65 
66  \details
67 
68  Database of polyhedra vertices, faces, and edges. Classes of
69  polyhedra are grouped into separate files. The file
70  polyhedra_all.scad contains all polyhedra from all files. Each
71  table uses the following column data structure.
72 
73  | field | description |
74  |:-----:|:--------------------|
75  | id | identifier |
76  | n | name |
77  | o | other name |
78  | g | group |
79  | d | data source |
80  | c | cartesian vertices |
81  | s | spherical vertices |
82  | f | faces |
83  | e | edges |
84 
85  Use the functions table_get_value() to retrieve field data as show
86  in the following example. To see a list of table identifiers
87  consider the function table_get_row_ids(), table_get_column_ids(),
88  or module table_dump(). See datatypes/table.scad for other
89  available table functions. For a general introduction to this
90  topic, see Wikipedia on [Polyhedron].
91 
92 
93  \b Example
94  \code{.C}
95  include <omdl-base.scad>;
96  include <units/coordinate.scad>;
97  include <tools/polytope.scad>;
98  include <database/geometry/polyhedra/platonic.scad>;
99 
100  tc = dtc_polyhedra_platonic;
101  tr = dtr_polyhedra_platonic;
102 
103  id = "dodecahedron";
104 
105  pv = table_get_value(tr, tc, id, "c");
106  pf = table_get_value(tr, tc, id, "f");
107 
108  sv = coordinate_scale3d_csc(pv, 100);
109 
110  polytope_number(sv, pf, to=[0,0,5]);
111  polytope_frame(sv, pf) {circle(r=2); color("grey") sphere(r=4);}
112  polyhedron(sv, pf);
113  \endcode
114 
115  \b Autotests
116 
117  \amu_scope scope (index=1)
118  \amu_if ( -n ${scope} )
119  { \include ${scope}.log }
120  else
121  { \note Database verification results not included. To test and
122  include results, remove \c db_autotest from \c scopes_exclude
123  in library makefile. For more information see \ref lb. }
124  endif
125 
126  [Polyhedron]: https://en.wikipedia.org/wiki/Polyhedron
127 
128  @{
129 *******************************************************************************/
130 //----------------------------------------------------------------------------//
131 
132 //! <map> \c polyhedra_all polyhedra data table columns definition.
133 //! \hideinitializer
134 dtc_polyhedra_polyhedra_all =
135 [
136  ["id", "identifier"],
137  ["n", "name"],
138  ["o", "other name"],
139  ["g", "group"],
140  ["d", "data source"],
141  ["c", "cartesian vertices"],
142  ["s", "spherical vertices"],
143  ["f", "faces"],
144  ["e", "edges"]
145 ];
146 
147 //! <table> \c polyhedra_all polyhedra data table rows.
148 //! \hideinitializer
149 dtr_polyhedra_polyhedra_all =
150 [
151  [
152  "anti_prisms_decagonal_antiprism",
153  "Decagonal Antiprism",
154  empty_str,
155  "anti_prisms",
156  "Polyhedron Database #31",
157  [
158  [-0.96627614511, 0.25750808025, 0.00000000000],
159  [-0.91898322435, -0.25750808025, 0.29859575010],
160  [-0.91898322435, -0.25750808025, -0.29859575010],
161  [-0.78173382265, 0.25750808025, 0.56796286774],
162  [-0.78173382265, 0.25750808025, -0.56796286774],
163  [-0.56796286774, -0.25750808025, 0.78173382265],
164  [-0.56796286774, -0.25750808025, -0.78173382265],
165  [-0.29859575010, 0.25750808025, 0.91898322435],
166  [-0.29859575010, 0.25750808025, -0.91898322435],
167  [ 0.00000000000, -0.25750808025, 0.96627614511],
168  [-0.00000000000, -0.25750808025, -0.96627614511],
169  [ 0.29859575010, 0.25750808025, 0.91898322435],
170  [ 0.29859575010, 0.25750808025, -0.91898322435],
171  [ 0.56796286774, -0.25750808025, 0.78173382265],
172  [ 0.56796286774, -0.25750808025, -0.78173382265],
173  [ 0.78173382265, 0.25750808025, 0.56796286774],
174  [ 0.78173382265, 0.25750808025, -0.56796286774],
175  [ 0.91898322435, -0.25750808025, 0.29859575010],
176  [ 0.91898322435, -0.25750808025, -0.29859575010],
177  [ 0.96627614511, 0.25750808025, 0.00000000000]
178  ],
179  [
180  [1.00000000000, 165.07774833349, 89.99999999998],
181  [1.00000000000, -164.34660886021, 72.62671986748],
182  [1.00000000000, -164.34660886022, 107.37328013251],
183  [1.00000000000, 161.76778911692, 55.39170785296],
184  [1.00000000000, 161.76778911692, 124.60829214706],
185  [1.00000000000, -155.61098626194, 38.58040216792],
186  [1.00000000000, -155.61098626190, 141.41959783208],
187  [1.00000000000, 139.22561430131, 23.22211397117],
188  [1.00000000000, 139.22561430129, 156.77788602884],
189  [1.00000000000, -89.99999999999, 14.92225166649],
190  [1.00000000000, -90.00000000002, 165.07774833348],
191  [1.00000000000, 40.77438569868, 23.22211397117],
192  [1.00000000000, 40.77438569868, 156.77788602883],
193  [1.00000000000, -24.38901373808, 38.58040216789],
194  [1.00000000000, -24.38901373808, 141.41959783206],
195  [1.00000000000, 18.23221088306, 55.39170785296],
196  [1.00000000000, 18.23221088307, 124.60829214706],
197  [1.00000000000, -15.65339113976, 72.62671986755],
198  [1.00000000000, -15.65339113978, 107.37328013249],
199  [1.00000000000, 14.92225166649, 89.99999999998]
200  ],
201  [
202  [13,17,18,14,10,6,2,1,5,9],
203  [3,0,4,8,12,16,19,15,11,7],
204  [8,10,12],
205  [6,10,8],
206  [4,6,8],
207  [2,6,4],
208  [0,2,4],
209  [1,2,0],
210  [3,1,0],
211  [5,1,3],
212  [7,5,3],
213  [9,5,7],
214  [11,9,7],
215  [13,9,11],
216  [15,13,11],
217  [17,13,15],
218  [19,17,15],
219  [18,17,19],
220  [16,18,19],
221  [14,18,16],
222  [12,14,16],
223  [10,14,12]
224  ],
225  [
226  [0,1],
227  [0,2],
228  [0,3],
229  [0,4],
230  [1,2],
231  [1,3],
232  [1,5],
233  [2,4],
234  [2,6],
235  [3,5],
236  [3,7],
237  [4,6],
238  [4,8],
239  [5,7],
240  [5,9],
241  [6,8],
242  [6,10],
243  [7,9],
244  [7,11],
245  [8,10],
246  [8,12],
247  [9,11],
248  [9,13],
249  [10,12],
250  [10,14],
251  [11,13],
252  [11,15],
253  [12,14],
254  [12,16],
255  [13,15],
256  [13,17],
257  [14,16],
258  [14,18],
259  [15,17],
260  [15,19],
261  [16,18],
262  [16,19],
263  [17,18],
264  [17,19],
265  [18,19]
266  ]
267  ],
268  [
269  "anti_prisms_hexagonal_antiprism",
270  "Hexagonal Antiprism",
271  empty_str,
272  "anti_prisms",
273  "Polyhedron Database #29",
274  [
275  [-0.91940168676, 0.39331989319, -0.00000000000],
276  [-0.79622521702, -0.39331989319, 0.45970084338],
277  [-0.79622521702, -0.39331989319, -0.45970084338],
278  [-0.45970084338, 0.39331989319, 0.79622521702],
279  [-0.45970084338, 0.39331989319, -0.79622521702],
280  [ 0.00000000000, -0.39331989319, 0.91940168676],
281  [ 0.00000000000, -0.39331989319, -0.91940168676],
282  [ 0.45970084338, 0.39331989319, 0.79622521702],
283  [ 0.45970084338, 0.39331989319, -0.79622521702],
284  [ 0.79622521702, -0.39331989319, 0.45970084338],
285  [ 0.79622521702, -0.39331989319, -0.45970084338],
286  [ 0.91940168676, 0.39331989319, -0.00000000000]
287  ],
288  [
289  [1.00000000000, 156.83876877392, 90.00000000002],
290  [1.00000000000, -153.71151678612, 62.63219484139],
291  [1.00000000000, -153.71151678612, 117.36780515857],
292  [1.00000000000, 139.44971443987, 37.22886588833],
293  [1.00000000000, 139.44971443986, 142.77113411166],
294  [1.00000000000, -89.99999999999, 23.16123122606],
295  [1.00000000000, -89.99999999995, 156.83876877393],
296  [1.00000000000, 40.55028556012, 37.22886588833],
297  [1.00000000000, 40.55028556011, 142.77113411165],
298  [1.00000000000, -26.28848321388, 62.63219484133],
299  [1.00000000000, -26.28848321388, 117.36780515864],
300  [1.00000000000, 23.16123122606, 90.00000000002]
301  ],
302  [
303  [9,10,6,2,1,5],
304  [0,4,8,11,7,3],
305  [4,6,8],
306  [2,6,4],
307  [0,2,4],
308  [1,2,0],
309  [3,1,0],
310  [5,1,3],
311  [7,5,3],
312  [9,5,7],
313  [11,9,7],
314  [10,9,11],
315  [8,10,11],
316  [6,10,8]
317  ],
318  [
319  [0,1],
320  [0,2],
321  [0,3],
322  [0,4],
323  [1,2],
324  [1,3],
325  [1,5],
326  [2,4],
327  [2,6],
328  [3,5],
329  [3,7],
330  [4,6],
331  [4,8],
332  [5,7],
333  [5,9],
334  [6,8],
335  [6,10],
336  [7,9],
337  [7,11],
338  [8,10],
339  [8,11],
340  [9,10],
341  [9,11],
342  [10,11]
343  ]
344  ],
345  [
346  "anti_prisms_octagonal_antiprism",
347  "Octagonal Antiprism",
348  empty_str,
349  "anti_prisms",
350  "Polyhedron Database #30",
351  [
352  [-0.94984865176, -0.31270999145, -0.00000000000],
353  [-0.87754572834, 0.31270999145, 0.36349134228],
354  [-0.87754572834, 0.31270999145, -0.36349134228],
355  [-0.67164442276, -0.31270999145, 0.67164442276],
356  [-0.67164442276, -0.31270999145, -0.67164442276],
357  [-0.36349134228, 0.31270999145, 0.87754572834],
358  [-0.36349134228, 0.31270999145, -0.87754572834],
359  [-0.00000000000, -0.31270999145, 0.94984865176],
360  [-0.00000000000, -0.31270999145, -0.94984865176],
361  [ 0.36349134228, 0.31270999145, 0.87754572834],
362  [ 0.36349134228, 0.31270999145, -0.87754572834],
363  [ 0.67164442276, -0.31270999145, 0.67164442276],
364  [ 0.67164442276, -0.31270999145, -0.67164442276],
365  [ 0.87754572834, 0.31270999145, 0.36349134228],
366  [ 0.87754572834, 0.31270999145, -0.36349134228],
367  [ 0.94984865176, -0.31270999145, -0.00000000000]
368  ],
369  [
370  [1.00000000000, -161.77737671140, 90.00000000004],
371  [1.00000000000, 160.38667322856, 68.68523321433],
372  [1.00000000000, 160.38667322856, 111.31476678565],
373  [1.00000000000, -155.03384957250, 47.80589064816],
374  [1.00000000000, -155.03384957249, 132.19410935186],
375  [1.00000000000, 139.29473544049, 28.65229139610],
376  [1.00000000000, 139.29473544048, 151.34770860390],
377  [1.00000000000, -90.00000000001, 18.22262328859],
378  [1.00000000000, -90.00000000001, 161.77737671138],
379  [1.00000000000, 40.70526455950, 28.65229139610],
380  [1.00000000000, 40.70526455950, 151.34770860390],
381  [1.00000000000, -24.96615042747, 47.80589064819],
382  [1.00000000000, -24.96615042752, 132.19410935182],
383  [1.00000000000, 19.61332677143, 68.68523321432],
384  [1.00000000000, 19.61332677143, 111.31476678565],
385  [1.00000000000, -18.22262328858, 90.00000000001]
386  ],
387  [
388  [11,15,12,8,4,0,3,7],
389  [1,2,6,10,14,13,9,5],
390  [6,8,10],
391  [4,8,6],
392  [2,4,6],
393  [0,4,2],
394  [1,0,2],
395  [3,0,1],
396  [5,3,1],
397  [7,3,5],
398  [9,7,5],
399  [11,7,9],
400  [13,11,9],
401  [15,11,13],
402  [14,15,13],
403  [12,15,14],
404  [10,12,14],
405  [8,12,10]
406  ],
407  [
408  [0,1],
409  [0,2],
410  [0,3],
411  [0,4],
412  [1,2],
413  [1,3],
414  [1,5],
415  [2,4],
416  [2,6],
417  [3,5],
418  [3,7],
419  [4,6],
420  [4,8],
421  [5,7],
422  [5,9],
423  [6,8],
424  [6,10],
425  [7,9],
426  [7,11],
427  [8,10],
428  [8,12],
429  [9,11],
430  [9,13],
431  [10,12],
432  [10,14],
433  [11,13],
434  [11,15],
435  [12,14],
436  [12,15],
437  [13,14],
438  [13,15],
439  [14,15]
440  ]
441  ],
442  [
443  "anti_prisms_pentagonal_antiprism",
444  "Pentagonal Antiprism",
445  empty_str,
446  "anti_prisms",
447  "Polyhedron Database #28",
448  [
449  [ 0.85065080835, -0.44721359550, -0.27639320225],
450  [ 0.85065080835, 0.44721359550, 0.27639320225],
451  [ 0.52573111212, 0.44721359550, -0.72360679775],
452  [ 0.52573111212, -0.44721359550, 0.72360679775],
453  [ 0.00000000000, -0.44721359550, -0.89442719100],
454  [ 0.00000000000, 0.44721359550, 0.89442719100],
455  [-0.52573111212, 0.44721359550, -0.72360679775],
456  [-0.52573111212, -0.44721359550, 0.72360679775],
457  [-0.85065080835, -0.44721359550, -0.27639320225],
458  [-0.85065080835, 0.44721359550, 0.27639320225]
459  ],
460  [
461  [1.00000000000, -27.73230144776, 106.04505713536],
462  [1.00000000000, 27.73230144775, 73.95494286463],
463  [1.00000000000, 40.38617755921, 136.35307289117],
464  [1.00000000000, -40.38617755920, 43.64692710879],
465  [1.00000000000, -89.99999999998, 153.43494882290],
466  [1.00000000000, 89.99999999997, 26.56505117711],
467  [1.00000000000, 139.61382244076, 136.35307289118],
468  [1.00000000000, -139.61382244074, 43.64692710885],
469  [1.00000000000, -152.26769855227, 106.04505713531],
470  [1.00000000000, 152.26769855223, 73.95494286462]
471  ],
472  [
473  [7,3,0,4,8],
474  [1,5,9,6,2],
475  [1,3,5],
476  [0,3,1],
477  [2,0,1],
478  [4,0,2],
479  [6,4,2],
480  [8,4,6],
481  [9,8,6],
482  [7,8,9],
483  [5,7,9],
484  [3,7,5]
485  ],
486  [
487  [0,1],
488  [0,2],
489  [0,3],
490  [0,4],
491  [1,2],
492  [1,3],
493  [1,5],
494  [2,4],
495  [2,6],
496  [3,5],
497  [3,7],
498  [4,6],
499  [4,8],
500  [5,7],
501  [5,9],
502  [6,8],
503  [6,9],
504  [7,8],
505  [7,9],
506  [8,9]
507  ]
508  ],
509  [
510  "anti_prisms_square_antiprism",
511  "Square Antiprism",
512  empty_str,
513  "anti_prisms",
514  "Polyhedron Database #27",
515  [
516  [-0.85953250377, -0.51108108453, -0.00000000000],
517  [-0.60778126207, 0.51108108453, 0.60778126207],
518  [-0.60778126207, 0.51108108453, -0.60778126206],
519  [ 0.00000000000, -0.51108108453, 0.85953250377],
520  [ 0.00000000000, -0.51108108453, -0.85953250377],
521  [ 0.60778126207, 0.51108108453, 0.60778126207],
522  [ 0.60778126207, 0.51108108453, -0.60778126206],
523  [ 0.85953250377, -0.51108108453, -0.00000000000]
524  ],
525  [
526  [1.00000000000, -149.26413289761, 90.00000000002],
527  [1.00000000000, 139.93964097361, 52.57075390722],
528  [1.00000000000, 139.93964097360, 127.42924609275],
529  [1.00000000000, -89.99999999999, 30.73586710238],
530  [1.00000000000, -89.99999999998, 149.26413289761],
531  [1.00000000000, 40.06035902638, 52.57075390722],
532  [1.00000000000, 40.06035902638, 127.42924609274],
533  [1.00000000000, -30.73586710238, 90.00000000002]
534  ],
535  [
536  [7,4,0,3],
537  [2,6,5,1],
538  [2,4,6],
539  [0,4,2],
540  [1,0,2],
541  [3,0,1],
542  [5,3,1],
543  [7,3,5],
544  [6,7,5],
545  [4,7,6]
546  ],
547  [
548  [0,1],
549  [0,2],
550  [0,3],
551  [0,4],
552  [1,2],
553  [1,3],
554  [1,5],
555  [2,4],
556  [2,6],
557  [3,5],
558  [3,7],
559  [4,6],
560  [4,7],
561  [5,6],
562  [5,7],
563  [6,7]
564  ]
565  ],
566  [
567  "anti_prisms_triangular_antiprism",
568  "Triangular Antiprism",
569  "Octahedron",
570  "anti_prisms",
571  "Exact Mathematics",
572  [
573  [-0.70710678119, 0.57735026919, -0.40824829046],
574  [ 0.00000000000, 0.57735026919, 0.81649658093],
575  [ 0.70710678119, 0.57735026919, -0.40824829046],
576  [-0.70710678119, -0.57735026919, 0.40824829046],
577  [ 0.00000000000, -0.57735026919, -0.81649658093],
578  [ 0.70710678119, -0.57735026919, 0.40824829046]
579  ],
580  [
581  [1.00000000000, 140.76847951640, 114.09484255210],
582  [1.00000000000, 89.99999999999, 35.26438968275],
583  [1.00000000000, 39.23152048359, 114.09484255210],
584  [1.00000000000, -140.76847951640, 65.90515744789],
585  [1.00000000000, -89.99999999999, 144.73561031724],
586  [1.00000000000, -39.23152048359, 65.90515744789]
587  ],
588  [
589  [1,0,2],
590  [0,1,3],
591  [5,1,2],
592  [1,5,3],
593  [4,0,3],
594  [0,4,2],
595  [4,5,2],
596  [5,4,3]
597  ],
598  [
599  [0,1],
600  [0,2],
601  [0,3],
602  [0,4],
603  [1,2],
604  [1,3],
605  [2,4],
606  [3,4],
607  [1,5],
608  [2,5],
609  [3,5],
610  [4,5]
611  ]
612  ],
613  [
614  "archimedean_duals_disdyakis_dodecahedron",
615  "Disdyakis-Dodecahedron",
616  "Hexakis-Octahedron",
617  "archimedean_duals",
618  "Exact Mathematics",
619  [
620  [ 0.00000000000, 0.00000000000, 1.00000000000],
621  [ 0.70710678119, 0.00000000000, 0.70710678119],
622  [ 0.00000000000, 0.70710678119, 0.70710678119],
623  [-0.70710678119, 0.00000000000, 0.70710678119],
624  [ 0.00000000000, -0.70710678119, 0.70710678119],
625  [ 0.57735026919, 0.57735026919, 0.57735026919],
626  [-0.57735026919, 0.57735026919, 0.57735026919],
627  [-0.57735026919, -0.57735026919, 0.57735026919],
628  [ 0.57735026919, -0.57735026919, 0.57735026919],
629  [ 1.00000000000, 0.00000000000, 0.00000000000],
630  [ 0.70710678119, 0.70710678119, 0.00000000000],
631  [ 0.00000000000, 1.00000000000, 0.00000000000],
632  [-0.70710678119, 0.70710678119, 0.00000000000],
633  [-1.00000000000, 0.00000000000, 0.00000000000],
634  [-0.70710678119, -0.70710678119, 0.00000000000],
635  [ 0.00000000000, -1.00000000000, 0.00000000000],
636  [ 0.70710678119, -0.70710678119, 0.00000000000],
637  [ 0.57735026919, 0.57735026919, -0.57735026919],
638  [-0.57735026919, 0.57735026919, -0.57735026919],
639  [-0.57735026919, -0.57735026919, -0.57735026919],
640  [ 0.57735026919, -0.57735026919, -0.57735026919],
641  [ 0.70710678119, 0.00000000000, -0.70710678119],
642  [ 0.00000000000, 0.70710678119, -0.70710678119],
643  [-0.70710678119, 0.00000000000, -0.70710678119],
644  [ 0.00000000000, -0.70710678119, -0.70710678119],
645  [ 0.00000000000, 0.00000000000, -1.00000000000]
646  ],
647  [
648  [1.00000000000, 0.00000000000, 0.00000000000],
649  [1.00000000000, 0.00000000000, 45.00000000000],
650  [1.00000000000, 89.99999999999, 45.00000000000],
651  [1.00000000000, 179.99999999999, 45.00000000000],
652  [1.00000000000, -89.99999999999, 45.00000000000],
653  [1.00000000000, 45.00000000000, 54.73561031724],
654  [1.00000000000, 134.99999999999, 54.73561031724],
655  [1.00000000000, -134.99999999999, 54.73561031724],
656  [1.00000000000, -45.00000000000, 54.73561031724],
657  [1.00000000000, 0.00000000000, 89.99999999999],
658  [1.00000000000, 45.00000000000, 89.99999999999],
659  [1.00000000000, 89.99999999999, 89.99999999999],
660  [1.00000000000, 134.99999999999, 89.99999999999],
661  [1.00000000000, 179.99999999999, 89.99999999999],
662  [1.00000000000, -134.99999999999, 89.99999999999],
663  [1.00000000000, -89.99999999999, 89.99999999999],
664  [1.00000000000, -45.00000000000, 89.99999999999],
665  [1.00000000000, 45.00000000000, 125.26438968275],
666  [1.00000000000, 134.99999999999, 125.26438968275],
667  [1.00000000000, -134.99999999999, 125.26438968275],
668  [1.00000000000, -45.00000000000, 125.26438968275],
669  [1.00000000000, 0.00000000000, 134.99999999999],
670  [1.00000000000, 89.99999999999, 134.99999999999],
671  [1.00000000000, 179.99999999999, 134.99999999999],
672  [1.00000000000, -89.99999999999, 134.99999999999],
673  [1.00000000000, 0.00000000000, 179.99999999999]
674  ],
675  [
676  [6,3,13],
677  [3,6,0],
678  [1,5,9],
679  [5,1,0],
680  [6,2,0],
681  [2,5,0],
682  [2,6,11],
683  [5,2,11],
684  [23,18,13],
685  [18,23,25],
686  [12,6,13],
687  [18,12,13],
688  [6,12,11],
689  [12,18,11],
690  [17,21,9],
691  [21,17,25],
692  [5,10,9],
693  [10,17,9],
694  [10,5,11],
695  [17,10,11],
696  [22,18,25],
697  [17,22,25],
698  [18,22,11],
699  [22,17,11],
700  [7,3,0],
701  [3,7,13],
702  [4,7,0],
703  [7,4,15],
704  [7,14,13],
705  [14,7,15],
706  [23,19,25],
707  [19,14,15],
708  [19,23,13],
709  [14,19,13],
710  [1,8,0],
711  [8,4,0],
712  [8,1,9],
713  [16,8,9],
714  [8,16,15],
715  [4,8,15],
716  [19,24,25],
717  [24,19,15],
718  [21,20,9],
719  [20,16,9],
720  [20,21,25],
721  [24,20,25],
722  [16,20,15],
723  [20,24,15]
724  ],
725  [
726  [0,1],
727  [0,2],
728  [0,3],
729  [0,4],
730  [0,5],
731  [0,6],
732  [0,7],
733  [0,8],
734  [1,5],
735  [1,8],
736  [1,9],
737  [2,5],
738  [2,6],
739  [2,11],
740  [3,6],
741  [3,7],
742  [3,13],
743  [4,7],
744  [4,8],
745  [4,15],
746  [5,9],
747  [5,10],
748  [5,11],
749  [6,11],
750  [6,12],
751  [6,13],
752  [7,13],
753  [7,14],
754  [7,15],
755  [8,9],
756  [8,15],
757  [8,16],
758  [9,10],
759  [9,16],
760  [9,17],
761  [9,20],
762  [9,21],
763  [10,11],
764  [10,17],
765  [11,12],
766  [11,17],
767  [11,18],
768  [11,22],
769  [12,13],
770  [12,18],
771  [13,14],
772  [13,18],
773  [13,19],
774  [13,23],
775  [14,15],
776  [14,19],
777  [15,16],
778  [15,19],
779  [15,20],
780  [15,24],
781  [16,20],
782  [17,21],
783  [17,22],
784  [17,25],
785  [18,22],
786  [18,23],
787  [18,25],
788  [19,23],
789  [19,24],
790  [19,25],
791  [20,21],
792  [20,24],
793  [20,25],
794  [21,25],
795  [22,25],
796  [23,25],
797  [24,25]
798  ]
799  ],
800  [
801  "archimedean_duals_disdyakis_triacontahedron",
802  "Disdyakis-Triacontahedron",
803  "Hexakis-Icosahedron",
804  "archimedean_duals",
805  "George W. Hart, 1997. george@li.net",
806  [
807  [-0.50445781003, 0.85823482728, -0.16390828497],
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809  [-0.93184127980, 0.48989796379, -0.30277358267],
810  [-0.59321945859, 0.81649657360, 0.19274866308],
811  [ 0.00000000000, 1.09544514122, 0.00000000000],
812  [-0.50445778133, 0.53041832127, -0.69432657505],
813  [-0.81622979173, 0.53041830040, 0.26520912954],
814  [ 0.00000001518, 0.85823486838, -0.53041833095],
815  [-0.59321946723, 0.19274867602, -0.81649654739],
816  [ 0.00000000000, 0.48989795293, -0.97979595711],
817  [-0.31177199523, 0.85823484751, 0.42911737364],
818  [-0.95984929502, 0.19274875966, 0.31187389294],
819  [-0.57590958810, 0.48989797384, 0.79267156652],
820  [ 0.36662981623, 0.81649662504, -0.50462266207],
821  [-0.81622981643, 0.00000002808, -0.59302572359],
822  [ 0.00000000558, 0.81649664218, 0.62374790189],
823  [-1.00891555440, 0.00000005159, -0.00000002191],
824  [ 0.50445781792, 0.85823483908, -0.16390823916],
825  [-0.31177210334, 0.00000001596, -0.95953570176],
826  [-0.95984928118, -0.19274864408, -0.31187392864],
827  [-0.57590955558, -0.48989798773, -0.79267154078],
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829  [-0.81622985171, 0.00000001860, 0.59302570450],
830  [-0.93184128858, -0.48989792546, 0.30277360378],
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833  [ 0.93184128858, 0.48989792546, -0.30277360378],
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838  [ 0.59321949238, 0.19274868694, -0.81649654849],
839  [ 0.31177214323, -0.00000007614, -0.95953585607],
840  [-0.81622981685, -0.53041833140, -0.26520912587],
841  [ 0.00000002036, 0.19274873371, 1.00924525494],
842  [-0.31177214323, 0.00000007614, 0.95953585607],
843  [ 0.81622981685, 0.53041833140, 0.26520912587],
844  [-0.00000002470, -0.53041827232, -0.85823485312],
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846  [-0.59321951559, -0.81649655588, -0.19274869309],
847  [-0.50445777307, -0.53041826968, 0.69432655314],
848  [-0.00000000000, -0.48989795293, 0.97979595711],
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850  [ 0.95984928118, 0.19274864408, 0.31187392864],
851  [-0.00000000558, -0.81649664218, -0.62374790189],
852  [-0.31177211852, -0.85823485242, -0.42911737081],
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937  [1,4,0],
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992  [20,37,27],
993  [27,38,32],
994  [33,39,20],
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999  [41,30,35],
1000  [39,33,23],
1001  [42,26,31],
1002  [38,31,32],
1003  [43,36,26],
1004  [44,37,20],
1005  [38,27,37],
1006  [45,20,39],
1007  [29,46,34],
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1014  [31,38,42],
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1016  [44,38,37],
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1021  [53,29,43],
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1051  [54,60,59],
1052  [61,51,60],
1053  [61,54,58],
1054  [54,61,60]
1055  ],
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1065  [1,9],
1066  [2,3],
1067  [2,5],
1068  [2,6],
1069  [2,8],
1070  [2,11],
1071  [2,14],
1072  [2,16],
1073  [2,19],
1074  [3,4],
1075  [3,6],
1076  [3,10],
1077  [3,12],
1078  [4,7],
1079  [4,10],
1080  [4,13],
1081  [4,15],
1082  [4,17],
1083  [4,21],
1084  [4,25],
1085  [5,8],
1086  [5,9],
1087  [6,11],
1088  [6,12],
1089  [7,9],
1090  [7,13],
1091  [8,9],
1092  [8,14],
1093  [8,18],
1094  [8,20],
1095  [9,13],
1096  [9,18],
1097  [9,24],
1098  [9,27],
1099  [9,31],
1100  [9,32],
1101  [10,12],
1102  [10,15],
1103  [11,12],
1104  [11,16],
1105  [11,22],
1106  [11,23],
1107  [12,15],
1108  [12,22],
1109  [12,28],
1110  [12,30],
1111  [12,34],
1112  [12,35],
1113  [13,17],
1114  [13,24],
1115  [13,26],
1116  [14,19],
1117  [14,20],
1118  [15,21],
1119  [15,28],
1120  [15,29],
1121  [16,19],
1122  [16,23],
1123  [17,25],
1124  [17,26],
1125  [18,20],
1126  [18,27],
1127  [19,20],
1128  [19,23],
1129  [19,33],
1130  [20,27],
1131  [20,33],
1132  [20,37],
1133  [20,39],
1134  [20,44],
1135  [20,45],
1136  [21,25],
1137  [21,29],
1138  [22,23],
1139  [22,30],
1140  [23,30],
1141  [23,33],
1142  [23,39],
1143  [23,40],
1144  [23,47],
1145  [23,48],
1146  [24,26],
1147  [24,31],
1148  [25,26],
1149  [25,29],
1150  [25,36],
1151  [26,31],
1152  [26,36],
1153  [26,42],
1154  [26,43],
1155  [26,49],
1156  [26,50],
1157  [27,32],
1158  [27,37],
1159  [27,38],
1160  [28,29],
1161  [28,34],
1162  [29,34],
1163  [29,36],
1164  [29,43],
1165  [29,46],
1166  [29,52],
1167  [29,53],
1168  [30,35],
1169  [30,40],
1170  [30,41],
1171  [31,32],
1172  [31,38],
1173  [31,42],
1174  [32,38],
1175  [33,39],
1176  [34,35],
1177  [34,41],
1178  [34,46],
1179  [35,41],
1180  [36,43],
1181  [37,38],
1182  [37,44],
1183  [38,42],
1184  [38,44],
1185  [38,49],
1186  [38,55],
1187  [38,57],
1188  [38,58],
1189  [39,45],
1190  [39,48],
1191  [39,51],
1192  [40,41],
1193  [40,47],
1194  [41,46],
1195  [41,47],
1196  [41,52],
1197  [41,56],
1198  [41,59],
1199  [41,60],
1200  [42,49],
1201  [43,50],
1202  [43,53],
1203  [43,54],
1204  [44,45],
1205  [44,51],
1206  [44,55],
1207  [45,51],
1208  [46,52],
1209  [47,48],
1210  [47,51],
1211  [47,56],
1212  [48,51],
1213  [49,50],
1214  [49,54],
1215  [49,57],
1216  [50,54],
1217  [51,55],
1218  [51,56],
1219  [51,58],
1220  [51,60],
1221  [51,61],
1222  [52,53],
1223  [52,54],
1224  [52,59],
1225  [53,54],
1226  [54,57],
1227  [54,58],
1228  [54,59],
1229  [54,60],
1230  [54,61],
1231  [55,58],
1232  [56,60],
1233  [57,58],
1234  [58,61],
1235  [59,60],
1236  [60,61]
1237  ]
1238  ],
1239  [
1240  "archimedean_duals_kite_hexecontahedron",
1241  "Kite Hexecontahedron",
1242  empty_str,
1243  "archimedean_duals",
1244  "George W. Hart, 1997. george@li.net",
1245  [
1246  [ 0.31751071895, 0.00000000340, 0.97719758819],
1247  [ 0.00000001127, 0.18926497122, 0.99100426972],
1248  [-0.31751074542, -0.00000003162, 0.97719756131],
1249  [ 0.00000000000, -0.47140450895, 0.94280907941],
1250  [ 0.51374312445, -0.54018153041, 0.70710681970],
1251  [ 0.58249766001, -0.18926493753, 0.80173929639],
1252  [ 0.55416926303, 0.47140450330, 0.76274852191],
1253  [-0.00000005975, 0.54018152913, 0.87403204499],
1254  [-0.55416932145, 0.47140454384, 0.76274848242],
1255  [-0.58249771487, -0.18926492629, 0.80173925260],
1256  [-0.51374316338, -0.54018151801, 0.70710678126],
1257  [ 0.83125389314, -0.00000002527, 0.60394129932],
1258  [ 0.89666469792, -0.47140454470, 0.29134409404],
1259  [-0.00000004010, -0.87403202745, 0.54018149056],
1260  [ 0.36000332522, -0.80173921652, 0.49550210795],
1261  [ 0.31751075905, 0.87403203813, 0.43701599790],
1262  [-0.00000006329, 0.80173927623, 0.61247427683],
1263  [-0.83125394207, 0.00000000773, 0.60394123806],
1264  [-0.31751078833, 0.87403205872, 0.43701597508],
1265  [-0.36000339413, -0.80173930908, 0.49550207363],
1266  [-0.89666468978, -0.47140453296, 0.29134402622],
1267  [ 0.94250097679, 0.18926497873, 0.30623723192],
1268  [ 0.83125388233, 0.54018152140, 0.27009080693],
1269  [ 0.51374313409, -0.87403206340, 0.16692530143],
1270  [ 1.02748628783, -0.00000001240, 0.00000003844],
1271  [ 0.00000000000, -1.05409255675, 0.00000000000],
1272  [ 0.58249766471, 0.80173926315, 0.18926500599],
1273  [ 0.00000000000, 1.05409255675, 0.00000000000],
1274  [-0.83125378687, 0.54018144318, 0.27009073756],
1275  [-0.94250106167, 0.18926498020, 0.30623715984],
1276  [-0.58249771017, 0.80173927439, 0.18926496219],
1277  [-0.51374315374, -0.87403205100, 0.16692526298],
1278  [-1.02748628783, 0.00000001240, -0.00000003844],
1279  [ 0.89666468978, 0.47140453296, -0.29134402622],
1280  [ 0.58249771017, -0.80173927439, -0.18926496219],
1281  [ 0.83125378687, -0.54018144318, -0.27009073756],
1282  [ 0.94250106167, -0.18926498020, -0.30623715984],
1283  [ 0.31751078833, -0.87403205872, -0.43701597508],
1284  [ 0.51374315374, 0.87403205100, -0.16692526298],
1285  [-0.51374313409, 0.87403206340, -0.16692530143],
1286  [-0.89666469792, 0.47140454470, -0.29134409404],
1287  [-0.83125388233, -0.54018152140, -0.27009080693],
1288  [-0.58249766471, -0.80173926315, -0.18926500599],
1289  [-0.31751075905, -0.87403203813, -0.43701599790],
1290  [-0.94250097679, -0.18926497873, -0.30623723192],
1291  [ 0.83125394207, -0.00000000773, -0.60394123806],
1292  [ 0.55416932145, -0.47140454384, -0.76274848242],
1293  [ 0.00000006329, -0.80173927623, -0.61247427683],
1294  [ 0.36000339413, 0.80173930908, -0.49550207363],
1295  [ 0.00000004010, 0.87403202745, -0.54018149056],
1296  [ 0.51374316338, 0.54018151801, -0.70710678126],
1297  [-0.36000332522, 0.80173921652, -0.49550210795],
1298  [-0.83125389314, 0.00000002527, -0.60394129932],
1299  [-0.51374312445, 0.54018153041, -0.70710681970],
1300  [-0.55416926303, -0.47140450330, -0.76274852191],
1301  [ 0.58249771487, 0.18926492629, -0.80173925260],
1302  [ 0.00000005975, -0.54018152913, -0.87403204499],
1303  [ 0.31751074542, 0.00000003162, -0.97719756131],
1304  [ 0.00000000000, 0.47140450895, -0.94280907941],
1305  [-0.58249766001, 0.18926493753, -0.80173929639],
1306  [-0.31751071895, -0.00000000340, -0.97719758819],
1307  [-0.00000001127, -0.18926497122, -0.99100426972]
1308  ],
1309  [
1310  [1.02748634200, 0.00000061320, 17.99999869722],
1311  [1.00891560199, 89.99999658970, 10.81231680724],
1312  [1.02748632463, -179.99999429390, 18.00000056439],
1313  [1.05409258193, -89.99999999999, 26.56504968170],
1314  [1.02748632019, -46.43700162957, 46.51292053460],
1315  [1.00891557619, -17.99999775680, 37.37736611922],
1316  [1.05409254124, 40.38617586423, 43.64692761206],
1317  [1.02748630166, 90.00000633706, 31.71747526862],
1318  [1.05409256151, 139.61382468489, 43.64693187669],
1319  [1.00891557095, -162.00000482901, 37.37736982663],
1320  [1.02748630668, -133.56300119541, 46.51292277440],
1321  [1.02748631518, -0.00000174191, 54.00000025335],
1322  [1.05409259858, -27.73230224166, 73.95493917425],
1323  [1.02748626646, -90.00000262866, 58.28252604708],
1324  [1.00891550908, -65.81858650511, 60.58554777641],
1325  [1.02748628614, 70.03536918416, 64.82873918611],
1326  [1.00891555981, 90.00000452307, 52.62263321232],
1327  [1.02748631876, 179.99999946728, 54.00000462068],
1328  [1.02748630300, 109.96463207855, 64.82874103382],
1329  [1.00891559036, -114.18141512172, 60.58555261657],
1330  [1.05409256766, -152.26769813128, 73.95494252661],
1331  [1.00891553940, 11.35462944224, 72.33018751495],
1332  [1.02748631959, 33.01739826504, 74.75983516356],
1333  [1.02748630742, -59.55361679393, 80.65029465008],
1334  [1.02748628783, -0.00000069174, 89.99999785636],
1335  [1.05409255675, -89.99999999999, 89.99999999999],
1336  [1.00891556533, 54.00000029669, 79.18768078490],
1337  [1.05409255675, 89.99999999999, 89.99999999999],
1338  [1.02748618300, 146.98260251978, 74.75983709775],
1339  [1.00891559709, 168.64537146750, 72.33019285450],
1340  [1.00891559229, 126.00000144763, 79.18768360925],
1341  [1.02748630045, -120.44638451846, 80.65029675853],
1342  [1.02748628783, 179.99999930825, 90.00000214363],
1343  [1.05409256766, 27.73230186871, 106.04505747338],
1344  [1.00891559229, -53.99999855235, 100.81231639074],
1345  [1.02748618300, -33.01739748021, 105.24016290224],
1346  [1.00891559709, -11.35462853249, 107.66980714549],
1347  [1.02748630300, -70.03536792144, 115.17125896617],
1348  [1.02748630045, 59.55361548153, 99.34970324145],
1349  [1.02748630742, 120.44638320606, 99.34970534991],
1350  [1.05409259858, 152.26769775832, 106.04506082573],
1351  [1.02748631959, -146.98260173495, 105.24016483643],
1352  [1.00891556533, -125.99999970329, 100.81231921509],
1353  [1.02748628614, -109.96463081583, 115.17126081388],
1354  [1.00891553940, -168.64537055775, 107.66981248504],
1355  [1.02748631876, -0.00000053271, 125.99999537931],
1356  [1.05409256151, -40.38617531509, 136.35306812330],
1357  [1.00891555981, -89.99999547692, 127.37736678767],
1358  [1.00891559036, 65.81858487826, 119.41444738341],
1359  [1.02748626646, 89.99999737133, 121.71747395291],
1360  [1.02748630668, 46.43699880458, 133.48707722559],
1361  [1.00891550908, 114.18141349487, 119.41445222357],
1362  [1.02748631518, 179.99999825808, 125.99999974664],
1363  [1.02748632019, 133.56299837042, 133.48707946539],
1364  [1.05409254124, -139.61382413575, 136.35307238793],
1365  [1.00891557095, 17.99999517097, 142.62263017336],
1366  [1.02748630166, -89.99999366293, 148.28252473137],
1367  [1.02748632463, 0.00000570609, 161.99999943560],
1368  [1.05409258193, 89.99999999999, 153.43495031828],
1369  [1.00891557619, 162.00000224318, 142.62263388077],
1370  [1.02748634200, -179.99999938679, 162.00000130277],
1371  [1.00891560199, -90.00000341028, 169.18768319275]
1372  ],
1373  [
1374  [2,1,0,3],
1375  [0,5,4,3],
1376  [1,7,6,0],
1377  [2,8,7,1],
1378  [3,10,9,2],
1379  [6,11,5,0],
1380  [11,12,4,5],
1381  [14,13,3,4],
1382  [16,15,6,7],
1383  [9,17,8,2],
1384  [18,16,7,8],
1385  [13,19,10,3],
1386  [20,17,9,10],
1387  [6,22,21,11],
1388  [12,23,14,4],
1389  [11,21,24,12],
1390  [14,23,25,13],
1391  [15,26,22,6],
1392  [16,18,27,15],
1393  [17,29,28,8],
1394  [8,28,30,18],
1395  [19,31,20,10],
1396  [13,25,31,19],
1397  [20,32,29,17],
1398  [33,24,21,22],
1399  [35,34,23,12],
1400  [36,35,12,24],
1401  [34,37,25,23],
1402  [27,38,26,15],
1403  [38,33,22,26],
1404  [30,39,27,18],
1405  [32,40,28,29],
1406  [40,39,30,28],
1407  [42,41,20,31],
1408  [43,42,31,25],
1409  [41,44,32,20],
1410  [33,45,36,24],
1411  [35,46,37,34],
1412  [36,45,46,35],
1413  [37,47,43,25],
1414  [27,49,48,38],
1415  [38,48,50,33],
1416  [39,51,49,27],
1417  [32,44,52,40],
1418  [40,53,51,39],
1419  [42,43,54,41],
1420  [41,54,52,44],
1421  [50,55,45,33],
1422  [56,47,37,46],
1423  [55,57,46,45],
1424  [56,54,43,47],
1425  [58,50,48,49],
1426  [53,58,49,51],
1427  [59,53,40,52],
1428  [60,59,52,54],
1429  [50,58,57,55],
1430  [46,57,61,56],
1431  [56,61,60,54],
1432  [53,59,60,58],
1433  [60,61,57,58]
1434  ],
1435  [
1436  [0,1],
1437  [0,3],
1438  [0,5],
1439  [0,6],
1440  [1,2],
1441  [1,7],
1442  [2,3],
1443  [2,8],
1444  [2,9],
1445  [3,4],
1446  [3,10],
1447  [3,13],
1448  [4,5],
1449  [4,12],
1450  [4,14],
1451  [5,11],
1452  [6,7],
1453  [6,11],
1454  [6,15],
1455  [6,22],
1456  [7,8],
1457  [7,16],
1458  [8,17],
1459  [8,18],
1460  [8,28],
1461  [9,10],
1462  [9,17],
1463  [10,19],
1464  [10,20],
1465  [11,12],
1466  [11,21],
1467  [12,23],
1468  [12,24],
1469  [12,35],
1470  [13,14],
1471  [13,19],
1472  [13,25],
1473  [14,23],
1474  [15,16],
1475  [15,26],
1476  [15,27],
1477  [16,18],
1478  [17,20],
1479  [17,29],
1480  [18,27],
1481  [18,30],
1482  [19,31],
1483  [20,31],
1484  [20,32],
1485  [20,41],
1486  [21,22],
1487  [21,24],
1488  [22,26],
1489  [22,33],
1490  [23,25],
1491  [23,34],
1492  [24,33],
1493  [24,36],
1494  [25,31],
1495  [25,37],
1496  [25,43],
1497  [26,38],
1498  [27,38],
1499  [27,39],
1500  [27,49],
1501  [28,29],
1502  [28,30],
1503  [28,40],
1504  [29,32],
1505  [30,39],
1506  [31,42],
1507  [32,40],
1508  [32,44],
1509  [33,38],
1510  [33,45],
1511  [33,50],
1512  [34,35],
1513  [34,37],
1514  [35,36],
1515  [35,46],
1516  [36,45],
1517  [37,46],
1518  [37,47],
1519  [38,48],
1520  [39,40],
1521  [39,51],
1522  [40,52],
1523  [40,53],
1524  [41,42],
1525  [41,44],
1526  [41,54],
1527  [42,43],
1528  [43,47],
1529  [43,54],
1530  [44,52],
1531  [45,46],
1532  [45,55],
1533  [46,56],
1534  [46,57],
1535  [47,56],
1536  [48,49],
1537  [48,50],
1538  [49,51],
1539  [49,58],
1540  [50,55],
1541  [50,58],
1542  [51,53],
1543  [52,54],
1544  [52,59],
1545  [53,58],
1546  [53,59],
1547  [54,56],
1548  [54,60],
1549  [55,57],
1550  [56,61],
1551  [57,58],
1552  [57,61],
1553  [58,60],
1554  [59,60],
1555  [60,61]
1556  ]
1557  ],
1558  [
1559  "archimedean_duals_kite_icositetrahedron",
1560  "Kite Icositetrahedron",
1561  empty_str,
1562  "archimedean_duals",
1563  "Exact Mathematics",
1564  [
1565  [ 0.00000000000, 0.70710678119, 0.70710678119],
1566  [-0.54691816068, 0.54691816068, 0.54691816068],
1567  [-0.70710678119, 0.00000000000, 0.70710678119],
1568  [ 0.00000000000, 0.00000000000, 1.00000000000],
1569  [ 0.70710678119, 0.00000000000, 0.70710678119],
1570  [ 0.54691816068, 0.54691816068, 0.54691816068],
1571  [ 0.00000000000, 1.00000000000, 0.00000000000],
1572  [-0.70710678119, 0.70710678119, 0.00000000000],
1573  [-1.00000000000, 0.00000000000, 0.00000000000],
1574  [-0.54691816068, -0.54691816068, 0.54691816068],
1575  [ 0.00000000000, -0.70710678119, 0.70710678119],
1576  [ 0.70710678119, 0.70710678119, 0.00000000000],
1577  [ 1.00000000000, 0.00000000000, 0.00000000000],
1578  [ 0.54691816068, -0.54691816068, 0.54691816068],
1579  [ 0.00000000000, 0.70710678119, -0.70710678119],
1580  [-0.54691816068, 0.54691816068, -0.54691816068],
1581  [-0.70710678119, -0.70710678119, 0.00000000000],
1582  [-0.70710678119, 0.00000000000, -0.70710678119],
1583  [ 0.00000000000, -1.00000000000, 0.00000000000],
1584  [ 0.54691816068, 0.54691816068, -0.54691816068],
1585  [ 0.70710678119, -0.70710678119, 0.00000000000],
1586  [ 0.70710678119, 0.00000000000, -0.70710678119],
1587  [ 0.00000000000, 0.00000000000, -1.00000000000],
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1697  [
1698  "archimedean_duals_pentagonal_hexecontahedron",
1699  "Pentagonal Hexecontahedron",
1700  empty_str,
1701  "archimedean_duals",
1702  "George W. Hart, 1997. george@li.net",
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1914  [27,45,44,25,26],
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1933  [56,73,72,54,55],
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1935  [76,75,74,59,40],
1936  [61,77,76,40,60],
1937  [79,78,77,61,62],
1938  [63,80,79,62,44],
1939  [65,81,80,63,64],
1940  [67,83,82,65,66],
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1943  [86,85,84,73,56],
1944  [75,87,86,56,74],
1945  [77,78,87,75,76],
1946  [80,81,88,78,79],
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1948  [70,90,89,82,83],
1949  [85,91,90,70,84],
1950  [87,78,91,85,86],
1951  [89,90,91,78,88]
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1955  [0,4],
1956  [0,7],
1957  [1,2],
1958  [1,9],
1959  [2,3],
1960  [2,11],
1961  [3,4],
1962  [3,13],
1963  [4,5],
1964  [4,15],
1965  [4,16],
1966  [5,6],
1967  [5,18],
1968  [6,7],
1969  [6,20],
1970  [7,8],
1971  [8,9],
1972  [8,21],
1973  [9,10],
1974  [9,23],
1975  [9,24],
1976  [10,11],
1977  [10,26],
1978  [11,12],
1979  [12,13],
1980  [12,27],
1981  [12,28],
1982  [12,47],
1983  [13,14],
1984  [14,15],
1985  [14,29],
1986  [15,31],
1987  [16,17],
1988  [16,32],
1989  [17,18],
1990  [17,34],
1991  [18,19],
1992  [19,20],
1993  [19,35],
1994  [20,21],
1995  [20,37],
1996  [20,38],
1997  [21,22],
1998  [22,23],
1999  [22,39],
2000  [23,41],
2001  [24,25],
2002  [24,42],
2003  [25,26],
2004  [25,44],
2005  [26,27],
2006  [27,45],
2007  [28,29],
2008  [28,49],
2009  [29,30],
2010  [30,31],
2011  [30,50],
2012  [30,51],
2013  [30,68],
2014  [31,32],
2015  [32,33],
2016  [33,34],
2017  [33,51],
2018  [34,35],
2019  [34,53],
2020  [34,54],
2021  [35,36],
2022  [36,37],
2023  [36,55],
2024  [37,57],
2025  [38,39],
2026  [38,58],
2027  [39,40],
2028  [40,41],
2029  [40,59],
2030  [40,60],
2031  [40,76],
2032  [41,42],
2033  [42,43],
2034  [43,44],
2035  [43,60],
2036  [44,45],
2037  [44,62],
2038  [44,63],
2039  [45,46],
2040  [46,47],
2041  [46,64],
2042  [47,48],
2043  [48,49],
2044  [48,65],
2045  [49,50],
2046  [50,66],
2047  [51,52],
2048  [52,53],
2049  [52,69],
2050  [53,71],
2051  [54,55],
2052  [54,72],
2053  [55,56],
2054  [56,57],
2055  [56,73],
2056  [56,74],
2057  [56,86],
2058  [57,58],
2059  [58,59],
2060  [59,74],
2061  [60,61],
2062  [61,62],
2063  [61,77],
2064  [62,79],
2065  [63,64],
2066  [63,80],
2067  [64,65],
2068  [65,66],
2069  [65,81],
2070  [65,82],
2071  [66,67],
2072  [67,68],
2073  [67,83],
2074  [68,69],
2075  [69,70],
2076  [70,71],
2077  [70,83],
2078  [70,84],
2079  [70,90],
2080  [71,72],
2081  [72,73],
2082  [73,84],
2083  [74,75],
2084  [75,76],
2085  [75,87],
2086  [76,77],
2087  [77,78],
2088  [78,79],
2089  [78,87],
2090  [78,88],
2091  [78,91],
2092  [79,80],
2093  [80,81],
2094  [81,88],
2095  [82,83],
2096  [82,89],
2097  [84,85],
2098  [85,86],
2099  [85,91],
2100  [86,87],
2101  [88,89],
2102  [89,90],
2103  [90,91]
2104  ]
2105  ],
2106  [
2107  "archimedean_duals_pentagonal_icositetrahedron",
2108  "Pentagonal Icositetrahedron",
2109  empty_str,
2110  "archimedean_duals",
2111  "George W. Hart, 1997. george@li.net",
2112  [
2113  [ 0.16071327325, 0.75190871675, -0.54368902931],
2114  [-0.16071322588, 0.54368899822, -0.75190873509],
2115  [-0.54368897205, 0.54368899723, -0.54368904151],
2116  [-0.54368896362, 0.75190871866, -0.16071328736],
2117  [-0.00000000676, 0.99999999488, -0.00000000731],
2118  [ 0.54368897783, 0.75190869752, 0.16071325200],
2119  [ 0.75190866563, 0.54368897418, -0.16071321670],
2120  [ 0.54368897367, 0.54368900470, -0.54368899596],
2121  [ 0.54368904340, 0.16071325571, -0.75190863643],
2122  [-0.00000000676, 0.00000001660, -1.00000000000],
2123  [-0.54368896170, -0.16071326637, -0.75190870910],
2124  [-0.75190870177, 0.16071321607, -0.54368907275],
2125  [-0.99999997485, -0.00000001528, -0.00000009448],
2126  [-0.75190869930, 0.54368899910, 0.16071317983],
2127  [-0.54368900735, 0.54368896859, 0.54368895909],
2128  [-0.16071325904, 0.75190869943, 0.54368899395],
2129  [ 0.16071317676, 0.54368899531, 0.75190868442],
2130  [ 0.54368893146, 0.54368899942, 0.54368899194],
2131  [ 0.75190868600, 0.16071324303, 0.54368899377],
2132  [ 0.99999996132, 0.00000002772, 0.00000007987],
2133  [ 0.75190873045, -0.16071319835, -0.54368892976],
2134  [ 0.54368899382, -0.54368895615, -0.54368897371],
2135  [ 0.16071325221, -0.54368889737, -0.75190857341],
2136  [-0.16071325147, -0.75190867567, -0.54368898591],
2137  [-0.54368894499, -0.54368898698, -0.54368900655],
2138  [-0.75190865186, -0.54368901104, -0.16071324937],
2139  [-0.75190873482, -0.16071325923, 0.54368899222],
2140  [-0.54368899063, 0.16071324797, 0.75190866164],
2141  [-0.00000000676, -0.00000000416, 0.99999998539],
2142  [ 0.54368897421, -0.16071320457, 0.75190867837],
2143  [ 0.54368895852, -0.54368898479, 0.54368902690],
2144  [ 0.75190865849, -0.54368893736, 0.16071325700],
2145  [ 0.54368903978, -0.75190864639, -0.16071321006],
2146  [-0.00000000676, -0.99999998245, -0.00000000731],
2147  [-0.54368899324, -0.75190871736, 0.16071321914],
2148  [-0.54368898719, -0.54368899226, 0.54368898134],
2149  [-0.16071326938, -0.54368901430, 0.75190866154],
2150  [ 0.16071331941, -0.75190902099, 0.54368916366]
2151  ],
2152  [
2153  [0.94169699751, 77.93511852297, 125.26439074846],
2154  [0.94169698611, 106.46755898307, 142.98343120091],
2155  [0.94169697775, 134.99999867304, 125.26439250807],
2156  [0.94169696351, 125.86987960572, 99.82639781431],
2157  [0.99999999488, 90.00000038747, 90.00000041864],
2158  [0.94169694881, 54.13011891836, 80.17360421411],
2159  [0.94169691521, 35.86988205269, 99.82639396007],
2160  [0.94169695669, 45.00000163481, 125.26439001937],
2161  [0.94169693852, 16.46756057926, 142.98342507151],
2162  [1.00000000000, 112.17056773351, 179.99999897318],
2163  [0.94169695119, -163.53243604711, 142.98343139242],
2164  [0.94169700087, 167.93512245650, 125.26439384143],
2165  [0.99999997485, -179.99999912453, 90.00000541347],
2166  [0.94169695019, 144.13011791868, 80.17360868494],
2167  [0.94169693400, 135.00000204233, 54.73561175152],
2168  [0.94169696083, 102.06488071124, 54.73561030871],
2169  [0.94169693560, 73.53244569490, 37.01656984339],
2170  [0.94169692696, 45.00000358086, 54.73560900079],
2171  [0.94169694728, 12.06487975387, 54.73560973856],
2172  [0.99999996132, 0.00000158816, 89.99999542382],
2173  [0.94169693819, -12.06487580597, 125.26438588242],
2174  [0.94169692745, -44.99999801492, 125.26438961939],
2175  [0.94169680330, -73.53243557609, 142.98342961421],
2176  [0.94169693593, -102.06488053029, 125.26439016391],
2177  [0.94169693602, -134.99999778726, 125.26439169819],
2178  [0.94169693107, -144.13011560493, 99.82639581021],
2179  [0.94169698813, -167.93511982564, 54.73561161174],
2180  [0.94169692686, 163.53243865866, 37.01657144033],
2181  [0.99999998539, -148.42091555625, 0.00000045483],
2182  [0.94169692333, -16.46755760552, 37.01656946502],
2183  [0.94169695432, -45.00000138421, 54.73560757295],
2184  [0.94169689513, -35.86988046874, 80.17360333945],
2185  [0.94169693658, -54.13011396871, 99.82639332499],
2186  [0.99999998245, -90.00000038747, 90.00000041864],
2187  [0.94169696793, -125.86988113486, 80.17360644450],
2188  [0.94169694888, -134.99999973330, 54.73561073359],
2189  [0.94169694410, -106.46756273772, 37.01657284190],
2190  [0.94169732588, -77.93511989808, 54.73561336722]
2191  ],
2192  [
2193  [3,2,1,0,4],
2194  [7,6,5,4,0],
2195  [9,8,7,0,1],
2196  [11,10,9,1,2],
2197  [13,12,11,2,3],
2198  [15,14,13,3,4],
2199  [17,16,15,4,5],
2200  [19,18,17,5,6],
2201  [8,20,19,6,7],
2202  [22,21,20,8,9],
2203  [24,23,22,9,10],
2204  [12,25,24,10,11],
2205  [14,27,26,12,13],
2206  [16,28,27,14,15],
2207  [18,29,28,16,17],
2208  [31,30,29,18,19],
2209  [21,32,31,19,20],
2210  [23,33,32,21,22],
2211  [25,34,33,23,24],
2212  [26,35,34,25,12],
2213  [28,36,35,26,27],
2214  [30,37,36,28,29],
2215  [32,33,37,30,31],
2216  [35,36,37,33,34]
2217  ],
2218  [
2219  [0,1],
2220  [0,4],
2221  [0,7],
2222  [1,2],
2223  [1,9],
2224  [2,3],
2225  [2,11],
2226  [3,4],
2227  [3,13],
2228  [4,5],
2229  [4,15],
2230  [5,6],
2231  [5,17],
2232  [6,7],
2233  [6,19],
2234  [7,8],
2235  [8,9],
2236  [8,20],
2237  [9,10],
2238  [9,22],
2239  [10,11],
2240  [10,24],
2241  [11,12],
2242  [12,13],
2243  [12,25],
2244  [12,26],
2245  [13,14],
2246  [14,15],
2247  [14,27],
2248  [15,16],
2249  [16,17],
2250  [16,28],
2251  [17,18],
2252  [18,19],
2253  [18,29],
2254  [19,20],
2255  [19,31],
2256  [20,21],
2257  [21,22],
2258  [21,32],
2259  [22,23],
2260  [23,24],
2261  [23,33],
2262  [24,25],
2263  [25,34],
2264  [26,27],
2265  [26,35],
2266  [27,28],
2267  [28,29],
2268  [28,36],
2269  [29,30],
2270  [30,31],
2271  [30,37],
2272  [31,32],
2273  [32,33],
2274  [33,34],
2275  [33,37],
2276  [34,35],
2277  [35,36],
2278  [36,37]
2279  ]
2280  ],
2281  [
2282  "archimedean_duals_pentakis_dodecahedron",
2283  "Pentakis-dodecahedron",
2284  empty_str,
2285  "archimedean_duals",
2286  "George W. Hart, 1997. george@li.net",
2287  [
2288  [ 0.20177410000, 0.38196600000, 0.97943210000],
2289  [-0.42923850000, -0.04863268000, 0.97943210000],
2290  [ 0.20177410000, -0.29568600000, 0.97943210000],
2291  [ 0.78140610000, -0.04863268000, 0.73002560000],
2292  [-0.40354820000, 0.59137200000, 0.75819400000],
2293  [-0.23959370000, -0.74535600000, 0.73002560000],
2294  [ 0.67036380000, 0.59137200000, 0.53695600000],
2295  [ 0.50862580000, -0.74535600000, 0.57588390000],
2296  [-0.92198690000, 0.25464400000, 0.48061910000],
2297  [ 0.09901297000, 0.95136730000, 0.48061910000],
2298  [-0.79506710000, -0.40862800000, 0.53695600000],
2299  [ 1.03687700000, 0.25464400000, 0.07707085000],
2300  [ 0.94255910000, -0.40862800000, 0.17898530000],
2301  [-0.59550950000, 0.87267800000, 0.17233570000],
2302  [ 0.03687301000, -1.02666200000, 0.17898530000],
2303  [-0.61513510000, -0.87267800000, 0.07707085000],
2304  [ 0.61513510000, 0.87267800000, -0.07707085000],
2305  [ 0.59550950000, -0.87267800000, -0.17233570000],
2306  [-0.94255910000, 0.40862800000, -0.17898530000],
2307  [-1.03687700000, -0.25464400000, -0.07707085000],
2308  [-0.03687301000, 1.02666200000, -0.17898530000],
2309  [ 0.79506710000, 0.40862800000, -0.53695600000],
2310  [ 0.92198690000, -0.25464400000, -0.48061910000],
2311  [-0.50862580000, 0.74535600000, -0.57588390000],
2312  [-0.09901297000, -0.95136730000, -0.48061910000],
2313  [-0.67036380000, -0.59137200000, -0.53695600000],
2314  [ 0.23959370000, 0.74535600000, -0.73002560000],
2315  [ 0.40354820000, -0.59137200000, -0.75819400000],
2316  [-0.78140610000, 0.04863268000, -0.73002560000],
2317  [ 0.42923850000, 0.04863268000, -0.97943210000],
2318  [-0.20177410000, 0.29568600000, -0.97943210000],
2319  [-0.20177410000, -0.38196600000, -0.97943210000]
2320  ],
2321  [
2322  [1.07046627742, 62.15468025915, 23.80018166046],
2323  [1.07046628436, -173.53595908920, 23.80018250273],
2324  [1.04279923117, -55.69064040323, 20.07675084678],
2325  [1.07046625698, -3.56134651010, 47.00224174530],
2326  [1.04279918189, 124.30935959676, 43.35819899984],
2327  [1.07046629301, -107.81993299443, 47.00224354341],
2328  [1.04279921973, 41.41763546184, 59.00803153025],
2329  [1.07046627104, -55.69064178336, 57.45411776945],
2330  [1.07046631418, 164.56035451966, 63.32167143348],
2331  [1.07046626618, 84.05836739099, 63.32167014248],
2332  [1.04279925289, -152.79891613231, 59.00803262454],
2333  [1.07046597133, 13.79804996163, 85.87127616656],
2334  [1.04279923139, -23.43819697649, 80.11685656721],
2335  [1.07046627680, 124.30936019929, 80.73556362919],
2336  [1.04279922263, -87.94308140001, 80.11685648337],
2337  [1.07046625302, -125.17932391740, 85.87127725489],
2338  [1.07046625302, 54.82067608259, 94.12872274510],
2339  [1.07046627680, -55.69063980069, 99.26443637080],
2340  [1.04279923139, 156.56180302349, 99.88314343278],
2341  [1.07046597133, -166.20195003836, 94.12872383343],
2342  [1.04279922263, 92.05691859998, 99.88314351662],
2343  [1.04279925289, 27.20108386768, 120.99196737545],
2344  [1.07046631418, -15.43964548033, 116.67832856651],
2345  [1.07046627104, 124.30935821663, 122.54588223054],
2346  [1.07046626618, -95.94163260899, 116.67832985751],
2347  [1.04279921973, -138.58236453815, 120.99196846974],
2348  [1.07046629301, 72.18006700556, 132.99775645657],
2349  [1.04279918189, -55.69064040323, 136.64180100015],
2350  [1.07046625698, 176.43865348989, 132.99775825469],
2351  [1.07046628436, 6.46404091078, 156.19981749726],
2352  [1.04279923117, 124.30935959676, 159.92324915321],
2353  [1.07046627742, -117.84531974084, 156.19981833953]
2354  ],
2355  [
2356  [1,0,2],
2357  [0,3,2],
2358  [1,4,0],
2359  [2,5,1],
2360  [6,3,0],
2361  [7,2,3],
2362  [8,4,1],
2363  [9,0,4],
2364  [7,5,2],
2365  [10,1,5],
2366  [6,11,3],
2367  [0,9,6],
2368  [3,12,7],
2369  [8,13,4],
2370  [1,10,8],
2371  [4,13,9],
2372  [7,14,5],
2373  [5,15,10],
2374  [16,11,6],
2375  [12,3,11],
2376  [16,6,9],
2377  [17,7,12],
2378  [18,13,8],
2379  [19,8,10],
2380  [20,9,13],
2381  [17,14,7],
2382  [15,5,14],
2383  [19,10,15],
2384  [16,21,11],
2385  [11,22,12],
2386  [9,20,16],
2387  [12,22,17],
2388  [18,23,13],
2389  [8,19,18],
2390  [13,23,20],
2391  [17,24,14],
2392  [14,24,15],
2393  [15,25,19],
2394  [26,21,16],
2395  [22,11,21],
2396  [26,16,20],
2397  [27,17,22],
2398  [28,23,18],
2399  [28,18,19],
2400  [26,20,23],
2401  [27,24,17],
2402  [25,15,24],
2403  [28,19,25],
2404  [26,29,21],
2405  [21,29,22],
2406  [22,29,27],
2407  [28,30,23],
2408  [23,30,26],
2409  [27,31,24],
2410  [24,31,25],
2411  [25,31,28],
2412  [30,29,26],
2413  [31,27,29],
2414  [31,30,28],
2415  [30,31,29]
2416  ],
2417  [
2418  [0,1],
2419  [0,2],
2420  [0,3],
2421  [0,4],
2422  [0,6],
2423  [0,9],
2424  [1,2],
2425  [1,4],
2426  [1,5],
2427  [1,8],
2428  [1,10],
2429  [2,3],
2430  [2,5],
2431  [2,7],
2432  [3,6],
2433  [3,7],
2434  [3,11],
2435  [3,12],
2436  [4,8],
2437  [4,9],
2438  [4,13],
2439  [5,7],
2440  [5,10],
2441  [5,14],
2442  [5,15],
2443  [6,9],
2444  [6,11],
2445  [6,16],
2446  [7,12],
2447  [7,14],
2448  [7,17],
2449  [8,10],
2450  [8,13],
2451  [8,18],
2452  [8,19],
2453  [9,13],
2454  [9,16],
2455  [9,20],
2456  [10,15],
2457  [10,19],
2458  [11,12],
2459  [11,16],
2460  [11,21],
2461  [11,22],
2462  [12,17],
2463  [12,22],
2464  [13,18],
2465  [13,20],
2466  [13,23],
2467  [14,15],
2468  [14,17],
2469  [14,24],
2470  [15,19],
2471  [15,24],
2472  [15,25],
2473  [16,20],
2474  [16,21],
2475  [16,26],
2476  [17,22],
2477  [17,24],
2478  [17,27],
2479  [18,19],
2480  [18,23],
2481  [18,28],
2482  [19,25],
2483  [19,28],
2484  [20,23],
2485  [20,26],
2486  [21,22],
2487  [21,26],
2488  [21,29],
2489  [22,27],
2490  [22,29],
2491  [23,26],
2492  [23,28],
2493  [23,30],
2494  [24,25],
2495  [24,27],
2496  [24,31],
2497  [25,28],
2498  [25,31],
2499  [26,29],
2500  [26,30],
2501  [27,29],
2502  [27,31],
2503  [28,30],
2504  [28,31],
2505  [29,30],
2506  [29,31],
2507  [30,31]
2508  ]
2509  ],
2510  [
2511  "archimedean_duals_rhombic_dodecahedron",
2512  "Rhombic Dodecahedron",
2513  empty_str,
2514  "archimedean_duals",
2515  "Exact Mathematics",
2516  [
2517  [ 0.00000000000, 0.00000000000, 1.00000000000],
2518  [ 0.50000000000, 0.50000000000, 0.50000000000],
2519  [-0.50000000000, 0.50000000000, 0.50000000000],
2520  [-0.50000000000, -0.50000000000, 0.50000000000],
2521  [ 0.50000000000, -0.50000000000, 0.50000000000],
2522  [ 1.00000000000, 0.00000000000, 0.00000000000],
2523  [ 0.00000000000, 1.00000000000, 0.00000000000],
2524  [-1.00000000000, 0.00000000000, 0.00000000000],
2525  [ 0.00000000000, -1.00000000000, 0.00000000000],
2526  [ 0.50000000000, 0.50000000000, -0.50000000000],
2527  [-0.50000000000, 0.50000000000, -0.50000000000],
2528  [-0.50000000000, -0.50000000000, -0.50000000000],
2529  [ 0.50000000000, -0.50000000000, -0.50000000000],
2530  [ 0.00000000000, 0.00000000000, -1.00000000000]
2531  ],
2532  [
2533  [1.00000000000, 0.00000000000, 0.00000000000],
2534  [0.86602540378, 45.00000000000, 54.73561031724],
2535  [0.86602540378, 134.99999999999, 54.73561031724],
2536  [0.86602540378, -134.99999999999, 54.73561031724],
2537  [0.86602540378, -45.00000000000, 54.73561031724],
2538  [1.00000000000, 0.00000000000, 89.99999999999],
2539  [1.00000000000, 89.99999999999, 89.99999999999],
2540  [1.00000000000, 179.99999999999, 89.99999999999],
2541  [1.00000000000, -89.99999999999, 89.99999999999],
2542  [0.86602540378, 45.00000000000, 125.26438968275],
2543  [0.86602540378, 134.99999999999, 125.26438968275],
2544  [0.86602540378, -134.99999999999, 125.26438968275],
2545  [0.86602540378, -45.00000000000, 125.26438968275],
2546  [1.00000000000, 0.00000000000, 179.99999999999]
2547  ],
2548  [
2549  [1,5,4,0],
2550  [2,6,1,0],
2551  [3,7,2,0],
2552  [4,8,3,0],
2553  [6,9,5,1],
2554  [7,10,6,2],
2555  [8,11,7,3],
2556  [5,12,8,4],
2557  [9,13,12,5],
2558  [10,13,9,6],
2559  [11,13,10,7],
2560  [12,13,11,8]
2561  ],
2562  [
2563  [0,1],
2564  [0,2],
2565  [0,3],
2566  [0,4],
2567  [1,5],
2568  [2,6],
2569  [3,7],
2570  [4,8],
2571  [1,6],
2572  [2,7],
2573  [3,8],
2574  [4,5],
2575  [5,9],
2576  [6,10],
2577  [7,11],
2578  [8,12],
2579  [5,12],
2580  [6,9],
2581  [7,10],
2582  [8,11],
2583  [13,9],
2584  [13,10],
2585  [13,11],
2586  [13,12]
2587  ]
2588  ],
2589  [
2590  "archimedean_duals_rhombic_triacontahedron",
2591  "Rhombic Triacontahedron",
2592  empty_str,
2593  "archimedean_duals",
2594  "George W. Hart, 1997. george@li.net",
2595  [
2596  [ 0.00000000000, 1.01807390634, 0.00000000000],
2597  [ 0.00000000000, 0.88845068543, 0.67871595830],
2598  [ 0.58778524700, 0.75882747687, 0.33935798580],
2599  [ 0.58778524700, 0.88845069778, -0.33935797250],
2600  [ 0.00000000920, 0.75882755207, -0.67871593299],
2601  [-0.58778523780, 0.88845076062, -0.33935796050],
2602  [-0.58778523780, 0.75882753971, 0.33935799780],
2603  [ 0.36327128724, 0.33935800536, 0.88845072319],
2604  [ 0.95105653425, 0.20973479681, 0.54909275069],
2605  [ 0.95105653425, 0.33935801772, -0.12962320761],
2606  [-0.00000000000, 0.20973477335, -1.09818546924],
2607  [-0.58778524700, 0.33935798191, -0.75882749674],
2608  [ 0.58778526871, 0.33935801248, -0.75882749090],
2609  [-0.95105652505, 0.20973476100, 0.54909274385],
2610  [-0.36327125634, 0.33935800013, 0.88845072219],
2611  [-0.95105652505, 0.33935798191, -0.12962321445],
2612  [ 0.00000000000, -0.20973477335, 1.09818546924],
2613  [ 0.58778524700, -0.33935798191, 0.75882749674],
2614  [ 0.95105652505, -0.20973476100, -0.54909274385],
2615  [ 0.95105652505, -0.33935798191, 0.12962321445],
2616  [-0.36327128724, -0.33935800536, -0.88845072319],
2617  [-0.95105653425, -0.20973479681, -0.54909275069],
2618  [ 0.36327125634, -0.33935800013, -0.88845072219],
2619  [-0.58778526871, -0.33935801248, 0.75882749090],
2620  [-0.95105653425, -0.33935801772, 0.12962320761],
2621  [-0.00000000920, -0.75882755207, 0.67871593299],
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2623  [ 0.58778523780, -0.75882753971, -0.33935799780],
2624  [ 0.00000000000, -0.88845068543, -0.67871595830],
2625  [-0.58778524700, -0.75882747687, -0.33935798580],
2626  [-0.58778524700, -0.88845069778, 0.33935797250],
2627  [ 0.00000000000, -1.01807390634, 0.00000000000]
2628  ],
2629  [
2630  [1.01807390634, 89.99999999999, 89.99999999999],
2631  [1.11803397644, 89.99999999999, 52.62263066673],
2632  [1.01807390634, 52.23875557900, 70.52877834968],
2633  [1.11803397644, 56.51199476545, 107.66980724671],
2634  [1.01807395187, 89.99999930546, 131.81031225926],
2635  [1.11803401790, 123.48800295704, 107.66980592440],
2636  [1.01807395187, 127.76124168979, 70.52877853920],
2637  [1.01807395187, 43.05074810479, 29.22865434511],
2638  [1.11803401790, 12.43628246235, 60.58554897383],
2639  [1.01807395187, 19.63752482828, 97.31486796888],
2640  [1.11803398875, 89.99999999999, 169.18768244741],
2641  [1.01807391986, 149.99999917200, 138.18968508471],
2642  [1.01807393822, 30.00000214725, 138.18968343591],
2643  [1.11803400000, 167.56371947847, 60.58554885896],
2644  [1.01807393822, 136.94924990484, 29.22865308802],
2645  [1.01807393221, 160.36247691007, 97.31486849897],
2646  [1.11803398875, -89.99999999999, 10.81231755257],
2647  [1.01807391986, -30.00000082799, 41.81031491527],
2648  [1.11803400000, -12.43628052152, 119.41445114102],
2649  [1.01807393221, -19.63752308992, 82.68513150102],
2650  [1.01807395187, -136.94925189520, 150.77134565488],
2651  [1.11803401790, -167.56371753764, 119.41445102616],
2652  [1.01807393822, -43.05075009515, 150.77134691197],
2653  [1.01807393822, -149.99999785273, 41.81031656408],
2654  [1.01807395187, -160.36247517171, 82.68513203111],
2655  [1.01807395187, -90.00000069453, 48.18968774073],
2656  [1.11803401790, -56.51199704295, 72.33019407559],
2657  [1.01807395187, -52.23875831020, 109.47122146079],
2658  [1.11803397644, -89.99999999999, 127.37736933326],
2659  [1.01807390634, -127.76124442099, 109.47122165031],
2660  [1.11803397644, -123.48800523454, 72.33019275327],
2661  [1.01807390634, -89.99999999999, 89.99999999999]
2662  ],
2663  [
2664  [2,1,0,3],
2665  [0,5,4,3],
2666  [1,6,5,0],
2667  [2,8,7,1],
2668  [3,9,8,2],
2669  [11,10,4,5],
2670  [10,12,3,4],
2671  [14,13,6,1],
2672  [13,15,5,6],
2673  [17,16,7,8],
2674  [16,14,1,7],
2675  [12,18,9,3],
2676  [18,19,8,9],
2677  [11,21,20,10],
2678  [5,15,21,11],
2679  [10,22,18,12],
2680  [14,16,23,13],
2681  [13,24,21,15],
2682  [17,26,25,16],
2683  [8,19,26,17],
2684  [18,27,26,19],
2685  [29,28,20,21],
2686  [28,22,10,20],
2687  [28,27,18,22],
2688  [25,30,23,16],
2689  [30,24,13,23],
2690  [30,29,21,24],
2691  [31,30,25,26],
2692  [28,31,26,27],
2693  [29,30,31,28]
2694  ],
2695  [
2696  [0,1],
2697  [0,3],
2698  [0,5],
2699  [1,2],
2700  [1,6],
2701  [1,7],
2702  [1,14],
2703  [2,3],
2704  [2,8],
2705  [3,4],
2706  [3,9],
2707  [3,12],
2708  [4,5],
2709  [4,10],
2710  [5,6],
2711  [5,11],
2712  [5,15],
2713  [6,13],
2714  [7,8],
2715  [7,16],
2716  [8,9],
2717  [8,17],
2718  [8,19],
2719  [9,18],
2720  [10,11],
2721  [10,12],
2722  [10,20],
2723  [10,22],
2724  [11,21],
2725  [12,18],
2726  [13,14],
2727  [13,15],
2728  [13,23],
2729  [13,24],
2730  [14,16],
2731  [15,21],
2732  [16,17],
2733  [16,23],
2734  [16,25],
2735  [17,26],
2736  [18,19],
2737  [18,22],
2738  [18,27],
2739  [19,26],
2740  [20,21],
2741  [20,28],
2742  [21,24],
2743  [21,29],
2744  [22,28],
2745  [23,30],
2746  [24,30],
2747  [25,26],
2748  [25,30],
2749  [26,27],
2750  [26,31],
2751  [27,28],
2752  [28,29],
2753  [28,31],
2754  [29,30],
2755  [30,31]
2756  ]
2757  ],
2758  [
2759  "archimedean_duals_tetrakis_hexahedron",
2760  "Tetrakis-hexahedron",
2761  empty_str,
2762  "archimedean_duals",
2763  "George W. Hart, 1997. george@li.net",
2764  [
2765  [ 0.70710678207, 0.70710678239, -0.70710681572],
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2769  [-0.00000000000, -0.00000006623, -1.06066014330],
2770  [-0.70710653501, 0.70710672864, 0.70710659847],
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2773  [ 0.70710653501, -0.70710672864, -0.70710659847],
2774  [-1.06066017311, -0.00000000830, 0.00000005793],
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2777  [-0.70710678207, -0.70710678239, 0.70710681572],
2778  [ 0.00000000000, -1.06066018679, 0.00000000000]
2779  ],
2780  [
2781  [1.22474489254, 45.00000001273, 125.26439096213],
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2790  [1.06066017311, -179.99999955149, 89.99999687065],
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2792  [1.06066014330, 89.99999999999, 0.00000357784],
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2794  [1.06066018679, -89.99999999999, 89.99999999999]
2795  ],
2796  [
2797  [1,0,2],
2798  [0,3,2],
2799  [1,4,0],
2800  [2,5,1],
2801  [6,3,0],
2802  [5,2,3],
2803  [7,4,1],
2804  [8,0,4],
2805  [9,1,5],
2806  [6,10,3],
2807  [0,8,6],
2808  [3,11,5],
2809  [7,8,4],
2810  [1,9,7],
2811  [5,12,9],
2812  [8,10,6],
2813  [11,3,10],
2814  [12,5,11],
2815  [13,8,7],
2816  [12,7,9],
2817  [8,13,10],
2818  [10,12,11],
2819  [7,12,13],
2820  [12,10,13]
2821  ],
2822  [
2823  [0,1],
2824  [0,2],
2825  [0,3],
2826  [0,4],
2827  [0,6],
2828  [0,8],
2829  [1,2],
2830  [1,4],
2831  [1,5],
2832  [1,7],
2833  [1,9],
2834  [2,3],
2835  [2,5],
2836  [3,5],
2837  [3,6],
2838  [3,10],
2839  [3,11],
2840  [4,7],
2841  [4,8],
2842  [5,9],
2843  [5,11],
2844  [5,12],
2845  [6,8],
2846  [6,10],
2847  [7,8],
2848  [7,9],
2849  [7,12],
2850  [7,13],
2851  [8,10],
2852  [8,13],
2853  [9,12],
2854  [10,11],
2855  [10,12],
2856  [10,13],
2857  [11,12],
2858  [12,13]
2859  ]
2860  ],
2861  [
2862  "archimedean_duals_triakis_icosahedron",
2863  "Triakis-icosahedron",
2864  empty_str,
2865  "archimedean_duals",
2866  "George W. Hart, 1997. george@li.net",
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2900  ],
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2915  [1.00489901598, 43.05075547144, 29.22864925989],
2916  [1.17557015257, 90.00002501987, 169.18768822431],
2917  [1.17557011013, 12.43628059663, 60.58554663923],
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2932  [1.00489899512, -89.99999999999, 89.99999999999],
2933  [1.00489901512, -52.23875659675, 109.47121746479]
2934  ],
2935  [
2936  [1,0,2],
2937  [0,3,2],
2938  [1,4,0],
2939  [2,3,1],
2940  [5,3,0],
2941  [6,4,1],
2942  [6,0,4],
2943  [7,1,3],
2944  [5,8,3],
2945  [0,8,5],
2946  [1,9,6],
2947  [6,10,0],
2948  [7,11,1],
2949  [3,11,7],
2950  [12,3,8],
2951  [13,8,0],
2952  [14,9,1],
2953  [14,6,9],
2954  [15,10,6],
2955  [15,0,10],
2956  [16,1,11],
2957  [17,11,3],
2958  [12,18,3],
2959  [8,18,12],
2960  [13,15,8],
2961  [0,15,13],
2962  [1,16,14],
2963  [14,19,6],
2964  [6,20,15],
2965  [11,14,16],
2966  [17,18,11],
2967  [3,18,17],
2968  [21,18,8],
2969  [22,8,15],
2970  [23,19,14],
2971  [23,6,19],
2972  [23,20,6],
2973  [23,15,20],
2974  [24,14,11],
2975  [25,11,18],
2976  [21,26,18],
2977  [8,26,21],
2978  [22,26,8],
2979  [15,26,22],
2980  [14,27,23],
2981  [23,28,15],
2982  [24,29,14],
2983  [11,29,24],
2984  [25,29,11],
2985  [18,29,25],
2986  [30,18,26],
2987  [28,26,15],
2988  [29,27,14],
2989  [29,23,27],
2990  [26,28,23],
2991  [30,29,18],
2992  [26,29,30],
2993  [29,31,23],
2994  [23,31,26],
2995  [31,29,26]
2996  ],
2997  [
2998  [0,1],
2999  [0,2],
3000  [0,3],
3001  [0,4],
3002  [0,5],
3003  [0,6],
3004  [0,8],
3005  [0,10],
3006  [0,13],
3007  [0,15],
3008  [1,2],
3009  [1,3],
3010  [1,4],
3011  [1,6],
3012  [1,7],
3013  [1,9],
3014  [1,11],
3015  [1,14],
3016  [1,16],
3017  [2,3],
3018  [3,5],
3019  [3,7],
3020  [3,8],
3021  [3,11],
3022  [3,12],
3023  [3,17],
3024  [3,18],
3025  [4,6],
3026  [5,8],
3027  [6,9],
3028  [6,10],
3029  [6,14],
3030  [6,15],
3031  [6,19],
3032  [6,20],
3033  [6,23],
3034  [7,11],
3035  [8,12],
3036  [8,13],
3037  [8,15],
3038  [8,18],
3039  [8,21],
3040  [8,22],
3041  [8,26],
3042  [9,14],
3043  [10,15],
3044  [11,14],
3045  [11,16],
3046  [11,17],
3047  [11,18],
3048  [11,24],
3049  [11,25],
3050  [11,29],
3051  [12,18],
3052  [13,15],
3053  [14,16],
3054  [14,19],
3055  [14,23],
3056  [14,24],
3057  [14,27],
3058  [14,29],
3059  [15,20],
3060  [15,22],
3061  [15,23],
3062  [15,26],
3063  [15,28],
3064  [17,18],
3065  [18,21],
3066  [18,25],
3067  [18,26],
3068  [18,29],
3069  [18,30],
3070  [19,23],
3071  [20,23],
3072  [21,26],
3073  [22,26],
3074  [23,26],
3075  [23,27],
3076  [23,28],
3077  [23,29],
3078  [23,31],
3079  [24,29],
3080  [25,29],
3081  [26,28],
3082  [26,29],
3083  [26,30],
3084  [26,31],
3085  [27,29],
3086  [29,30],
3087  [29,31]
3088  ]
3089  ],
3090  [
3091  "archimedean_duals_triakis_octahedron",
3092  "Triakis-octahedron",
3093  empty_str,
3094  "archimedean_duals",
3095  "George W. Hart, 1997. george@li.net",
3096  [
3097  [ 0.00000000000, 1.41421356691, 0.00000000000],
3098  [-0.00000000000, 0.00000003680, -1.41421356830],
3099  [-0.58578641907, 0.58578642733, -0.58578648469],
3100  [-1.41421370446, -0.00000001119, 0.00000004562],
3101  [ 0.58578643764, 0.58578646663, -0.58578633512],
3102  [-0.58578646823, 0.58578646484, 0.58578644204],
3103  [ 1.41421370446, 0.00000001119, -0.00000004562],
3104  [-0.58578642040, -0.58578641355, -0.58578648780],
3105  [ 0.00000000000, -0.00000003680, 1.41421356830],
3106  [ 0.58578646823, -0.58578646484, -0.58578644204],
3107  [ 0.58578642040, 0.58578641355, 0.58578648780],
3108  [ 0.00000000000, -1.41421356691, 0.00000000000],
3109  [-0.58578643764, -0.58578646663, 0.58578633512],
3110  [ 0.58578641907, -0.58578642733, 0.58578648469]
3111  ],
3112  [
3113  [1.41421356691, 89.99999999999, 89.99999999999],
3114  [1.41421356830, 89.99999999999, 179.99999850913],
3115  [1.01461188287, 134.99999959623, 125.26439251769],
3116  [1.41421370446, -179.99999954681, 89.99999815161],
3117  [1.01461182992, 45.00000141798, 125.26438428773],
3118  [1.01461190828, 135.00000016553, 54.73561144661],
3119  [1.41421370446, 0.00000045318, 90.00000184838],
3120  [1.01461187748, -135.00000033463, 125.26439294822],
3121  [1.41421356830, -89.99999999999, 0.00000149086],
3122  [1.01461190828, -44.99999983445, 125.26438855338],
3123  [1.01461187748, 44.99999966536, 54.73560705177],
3124  [1.41421356691, -89.99999999999, 89.99999999999],
3125  [1.01461182992, -134.99999858201, 54.73561571226],
3126  [1.01461188287, -45.00000040376, 54.73560748230]
3127  ],
3128  [
3129  [1,0,2],
3130  [0,3,2],
3131  [1,4,0],
3132  [2,3,1],
3133  [5,3,0],
3134  [6,4,1],
3135  [6,0,4],
3136  [7,1,3],
3137  [5,8,3],
3138  [0,8,5],
3139  [1,9,6],
3140  [6,10,0],
3141  [7,11,1],
3142  [3,11,7],
3143  [12,3,8],
3144  [10,8,0],
3145  [11,9,1],
3146  [11,6,9],
3147  [8,10,6],
3148  [12,11,3],
3149  [8,11,12],
3150  [11,13,6],
3151  [6,13,8],
3152  [13,11,8]
3153  ],
3154  [
3155  [0,1],
3156  [0,2],
3157  [0,3],
3158  [0,4],
3159  [0,5],
3160  [0,6],
3161  [0,8],
3162  [0,10],
3163  [1,2],
3164  [1,3],
3165  [1,4],
3166  [1,6],
3167  [1,7],
3168  [1,9],
3169  [1,11],
3170  [2,3],
3171  [3,5],
3172  [3,7],
3173  [3,8],
3174  [3,11],
3175  [3,12],
3176  [4,6],
3177  [5,8],
3178  [6,8],
3179  [6,9],
3180  [6,10],
3181  [6,11],
3182  [6,13],
3183  [7,11],
3184  [8,10],
3185  [8,11],
3186  [8,12],
3187  [8,13],
3188  [9,11],
3189  [11,12],
3190  [11,13]
3191  ]
3192  ],
3193  [
3194  "archimedean_duals_triakis_tetrahedron",
3195  "Triakis-tetrahedron",
3196  empty_str,
3197  "archimedean_duals",
3198  "George W. Hart, 1997. george@li.net",
3199  [
3200  [ 0.00000000000, 1.73205113922, 0.00000000000],
3201  [ 1.41421310220, -0.57735025671, -0.81649662287],
3202  [-0.00000000000, 0.34640998257, -0.97979591140],
3203  [-1.41421344981, -0.57735038744, -0.81649643800],
3204  [ 0.84852816886, 0.34641021829, 0.48989788285],
3205  [-0.84852813268, 0.34641022788, 0.48989786928],
3206  [-0.00000005168, -0.57735016964, 1.63299346667],
3207  [ 0.00000005427, -1.03923045335, 0.00000019409]
3208  ],
3209  [
3210  [1.73205113922, 89.99999999999, 89.99999999999],
3211  [1.73205044746, -22.20766038913, 118.12551364281],
3212  [1.03923043836, 89.99999999999, 160.52878892978],
3213  [1.73205068770, -157.79233999925, 118.12550246063],
3214  [1.03923049816, 22.20765684163, 61.87449880719],
3215  [1.03923046542, 157.79234174813, 61.87449869060],
3216  [1.73205106177, -90.00000512871, 19.47121416866],
3217  [1.03923045335, -89.99999700782, 89.99998929901]
3218  ],
3219  [
3220  [1,0,2],
3221  [0,3,2],
3222  [1,4,0],
3223  [2,3,1],
3224  [5,3,0],
3225  [6,4,1],
3226  [6,0,4],
3227  [7,1,3],
3228  [5,6,3],
3229  [0,6,5],
3230  [1,7,6],
3231  [3,6,7]
3232  ],
3233  [
3234  [0,1],
3235  [0,2],
3236  [0,3],
3237  [0,4],
3238  [0,5],
3239  [0,6],
3240  [1,2],
3241  [1,3],
3242  [1,4],
3243  [1,6],
3244  [1,7],
3245  [2,3],
3246  [3,5],
3247  [3,6],
3248  [3,7],
3249  [4,6],
3250  [5,6],
3251  [6,7]
3252  ]
3253  ],
3254  [
3255  "archimedean_cuboctahedron",
3256  "Cuboctahedron",
3257  empty_str,
3258  "archimedean",
3259  "Exact Mathematics",
3260  [
3261  [ 1.00000000000, 0.00000000000, 1.00000000000],
3262  [ 0.00000000000, 1.00000000000, 1.00000000000],
3263  [-1.00000000000, 0.00000000000, 1.00000000000],
3264  [ 0.00000000000, -1.00000000000, 1.00000000000],
3265  [ 1.00000000000, 1.00000000000, 0.00000000000],
3266  [-1.00000000000, 1.00000000000, 0.00000000000],
3267  [-1.00000000000, -1.00000000000, 0.00000000000],
3268  [ 1.00000000000, -1.00000000000, 0.00000000000],
3269  [ 1.00000000000, 0.00000000000, -1.00000000000],
3270  [ 0.00000000000, 1.00000000000, -1.00000000000],
3271  [-1.00000000000, 0.00000000000, -1.00000000000],
3272  [ 0.00000000000, -1.00000000000, -1.00000000000]
3273  ],
3274  [
3275  [1.41421356237, 0.00000000000, 45.00000000000],
3276  [1.41421356237, 89.99999999999, 45.00000000000],
3277  [1.41421356237, 179.99999999999, 45.00000000000],
3278  [1.41421356237, -89.99999999999, 45.00000000000],
3279  [1.41421356237, 45.00000000000, 89.99999999999],
3280  [1.41421356237, 134.99999999999, 89.99999999999],
3281  [1.41421356237, -134.99999999999, 89.99999999999],
3282  [1.41421356237, -45.00000000000, 89.99999999999],
3283  [1.41421356237, 0.00000000000, 134.99999999999],
3284  [1.41421356237, 89.99999999999, 134.99999999999],
3285  [1.41421356237, 179.99999999999, 134.99999999999],
3286  [1.41421356237, -89.99999999999, 134.99999999999]
3287  ],
3288  [
3289  [3,2,1,0],
3290  [0,4,8,7],
3291  [1,5,9,4],
3292  [2,6,10,5],
3293  [3,7,11,6],
3294  [8,9,10,11],
3295  [0,1,4],
3296  [1,2,5],
3297  [2,3,6],
3298  [3,0,7],
3299  [4,9,8],
3300  [5,10,9],
3301  [6,11,10],
3302  [7,8,11]
3303  ],
3304  [
3305  [0,1],
3306  [1,2],
3307  [2,3],
3308  [3,0],
3309  [4,0],
3310  [0,7],
3311  [7,8],
3312  [8,4],
3313  [5,1],
3314  [1,4],
3315  [4,9],
3316  [9,5],
3317  [6,2],
3318  [2,5],
3319  [5,10],
3320  [10,6],
3321  [7,3],
3322  [3,6],
3323  [6,11],
3324  [11,7],
3325  [8,9],
3326  [9,10],
3327  [10,11],
3328  [11,8]
3329  ]
3330  ],
3331  [
3332  "archimedean_icosidodecahedron",
3333  "Icosidodecahedron",
3334  empty_str,
3335  "archimedean",
3336  "George W. Hart, 1997. george@li.net",
3337  [
3338  [ 0.00000000000, 0.00000000000, 1.05146200000],
3339  [ 0.61803400000, 0.00000000000, 0.85065080000],
3340  [ 0.27639320000, 0.55278640000, 0.85065080000],
3341  [-0.61803400000, 0.00000000000, 0.85065080000],
3342  [-0.27639320000, -0.55278640000, 0.85065080000],
3343  [ 1.00000000000, 0.00000000000, 0.32491970000],
3344  [ 0.72360680000, -0.55278640000, 0.52573110000],
3345  [-0.17082040000, 0.89442720000, 0.52573110000],
3346  [ 0.44721360000, 0.89442720000, 0.32491970000],
3347  [-1.00000000000, 0.00000000000, 0.32491970000],
3348  [-0.72360680000, 0.55278640000, 0.52573110000],
3349  [ 0.17082040000, -0.89442720000, 0.52573110000],
3350  [-0.44721360000, -0.89442720000, 0.32491970000],
3351  [ 1.00000000000, 0.00000000000, -0.32491970000],
3352  [ 0.89442720000, 0.55278640000, 0.00000000000],
3353  [ 0.55278640000, -0.89442720000, 0.00000000000],
3354  [-0.55278640000, 0.89442720000, 0.00000000000],
3355  [ 0.44721360000, 0.89442720000, -0.32491970000],
3356  [-1.00000000000, 0.00000000000, -0.32491970000],
3357  [-0.89442720000, -0.55278640000, 0.00000000000],
3358  [-0.44721360000, -0.89442720000, -0.32491970000],
3359  [ 0.61803400000, 0.00000000000, -0.85065080000],
3360  [ 0.72360680000, -0.55278640000, -0.52573110000],
3361  [ 0.17082040000, -0.89442720000, -0.52573110000],
3362  [-0.72360680000, 0.55278640000, -0.52573110000],
3363  [-0.17082040000, 0.89442720000, -0.52573110000],
3364  [ 0.27639320000, 0.55278640000, -0.85065080000],
3365  [-0.61803400000, 0.00000000000, -0.85065080000],
3366  [-0.27639320000, -0.55278640000, -0.85065080000],
3367  [ 0.00000000000, 0.00000000000, -1.05146200000]
3368  ],
3369  [
3370  [1.05146200000, 0.00000000000, 0.00000000000],
3371  [1.05146222409, 0.00000000000, 36.00000076346],
3372  [1.05146221452, 63.43494882292, 36.00000004571],
3373  [1.05146222409, 179.99999999999, 36.00000076346],
3374  [1.05146221452, -116.56505117707, 36.00000004571],
3375  [1.05146222540, 0.00000000000, 71.99999980477],
3376  [1.05146221736, -37.37736782970, 60.00000054620],
3377  [1.05146222693, 100.81231727452, 60.00000084727],
3378  [1.05146223497, 63.43494882292, 71.99999997421],
3379  [1.05146222540, 179.99999999999, 71.99999980477],
3380  [1.05146221736, 142.62263217029, 60.00000054620],
3381  [1.05146222693, -79.18768272547, 60.00000084727],
3382  [1.05146223497, -116.56505117707, 71.99999997421],
3383  [1.05146222540, 0.00000000000, 108.00000019522],
3384  [1.05146222953, 31.71747394503, 89.99999999999],
3385  [1.05146222953, -58.28252605496, 89.99999999999],
3386  [1.05146222953, 121.71747394503, 89.99999999999],
3387  [1.05146223497, 63.43494882292, 108.00000002578],
3388  [1.05146222540, 179.99999999999, 108.00000019522],
3389  [1.05146222953, -148.28252605495, 89.99999999999],
3390  [1.05146223497, -116.56505117707, 108.00000002578],
3391  [1.05146222409, 0.00000000000, 143.99999923652],
3392  [1.05146221736, -37.37736782970, 119.99999945379],
3393  [1.05146222693, -79.18768272547, 119.99999915272],
3394  [1.05146221736, 142.62263217029, 119.99999945379],
3395  [1.05146222693, 100.81231727452, 119.99999915272],
3396  [1.05146221452, 63.43494882292, 143.99999995428],
3397  [1.05146222409, 179.99999999999, 143.99999923652],
3398  [1.05146221452, -116.56505117707, 143.99999995428],
3399  [1.05146200000, 0.00000000000, 179.99999999999]
3400  ],
3401  [
3402  [2,1,0],
3403  [4,3,0],
3404  [5,6,1],
3405  [7,8,2],
3406  [9,10,3],
3407  [11,12,4],
3408  [14,13,5],
3409  [15,11,6],
3410  [10,16,7],
3411  [17,14,8],
3412  [19,18,9],
3413  [20,19,12],
3414  [21,22,13],
3415  [22,23,15],
3416  [24,25,16],
3417  [25,26,17],
3418  [27,24,18],
3419  [23,28,20],
3420  [26,29,21],
3421  [28,29,27],
3422  [3,10,7,2,0],
3423  [1,6,11,4,0],
3424  [2,8,14,5,1],
3425  [4,12,19,9,3],
3426  [13,22,15,6,5],
3427  [16,25,17,8,7],
3428  [18,24,16,10,9],
3429  [15,23,20,12,11],
3430  [14,17,26,21,13],
3431  [19,20,28,27,18],
3432  [29,28,23,22,21],
3433  [27,29,26,25,24]
3434  ],
3435  [
3436  [0,1],
3437  [0,2],
3438  [0,3],
3439  [0,4],
3440  [1,2],
3441  [1,5],
3442  [1,6],
3443  [2,7],
3444  [2,8],
3445  [3,4],
3446  [3,9],
3447  [3,10],
3448  [4,11],
3449  [4,12],
3450  [5,6],
3451  [5,13],
3452  [5,14],
3453  [6,11],
3454  [6,15],
3455  [7,8],
3456  [7,10],
3457  [7,16],
3458  [8,14],
3459  [8,17],
3460  [9,10],
3461  [9,18],
3462  [9,19],
3463  [10,16],
3464  [11,12],
3465  [11,15],
3466  [12,19],
3467  [12,20],
3468  [13,14],
3469  [13,21],
3470  [13,22],
3471  [14,17],
3472  [15,22],
3473  [15,23],
3474  [16,24],
3475  [16,25],
3476  [17,25],
3477  [17,26],
3478  [18,19],
3479  [18,24],
3480  [18,27],
3481  [19,20],
3482  [20,23],
3483  [20,28],
3484  [21,22],
3485  [21,26],
3486  [21,29],
3487  [22,23],
3488  [23,28],
3489  [24,25],
3490  [24,27],
3491  [25,26],
3492  [26,29],
3493  [27,28],
3494  [27,29],
3495  [28,29]
3496  ]
3497  ],
3498  [
3499  "archimedean_rhombicosidodecahedron",
3500  "Rhombicosidodecahedron",
3501  empty_str,
3502  "archimedean",
3503  "George W. Hart, 1997. george@li.net",
3504  [
3505  [ 0.00000000000, 0.00000000000, 1.02605400000],
3506  [ 0.44783800000, 0.00000000000, 0.92316170000],
3507  [-0.02363976000, 0.44721360000, 0.92316170000],
3508  [-0.40507320000, 0.19098300000, 0.92316170000],
3509  [-0.16933440000, -0.41458980000, 0.92316170000],
3510  [ 0.42419820000, 0.44721360000, 0.82026960000],
3511  [ 0.76738180000, 0.19098300000, 0.65378680000],
3512  [ 0.55528270000, -0.41458980000, 0.75667880000],
3513  [-0.23122410000, 0.75623060000, 0.65378680000],
3514  [-0.57440760000, -0.22360680000, 0.82026960000],
3515  [-0.61265760000, 0.50000000000, 0.65378680000],
3516  [ 0.17384920000, -0.67082040000, 0.75667880000],
3517  [-0.46696290000, -0.63819660000, 0.65378680000],
3518  [ 0.49339300000, 0.75623060000, 0.48730390000],
3519  [ 0.87482650000, -0.22360680000, 0.48730390000],
3520  [ 0.83657650000, 0.50000000000, 0.32082100000],
3521  [ 0.70549210000, -0.63819660000, 0.38441180000],
3522  [ 0.08831973000, 0.94721360000, 0.38441180000],
3523  [-0.54346280000, 0.80901700000, 0.32082100000],
3524  [-0.88664630000, -0.17082040000, 0.48730390000],
3525  [-0.91028610000, 0.27639320000, 0.38441180000],
3526  [-0.12377940000, -0.89442720000, 0.48730390000],
3527  [ 0.32405860000, -0.89442720000, 0.38441180000],
3528  [-0.77920160000, -0.58541020000, 0.32082100000],
3529  [ 0.62899220000, 0.80901700000, 0.05144604000],
3530  [ 1.01042600000, -0.17082040000, 0.05144604000],
3531  [ 0.98678590000, 0.27639320000, -0.05144604000],
3532  [ 0.84109130000, -0.58541020000, -0.05144604000],
3533  [-0.22391900000, 1.00000000000, 0.05144604000],
3534  [ 0.22391900000, 1.00000000000, -0.05144604000],
3535  [-0.84109130000, 0.58541020000, 0.05144604000],
3536  [-0.98678590000, -0.27639320000, 0.05144604000],
3537  [-1.01042600000, 0.17082040000, -0.05144604000],
3538  [-0.22391900000, -1.00000000000, 0.05144604000],
3539  [ 0.22391900000, -1.00000000000, -0.05144604000],
3540  [-0.62899220000, -0.80901700000, -0.05144604000],
3541  [ 0.77920160000, 0.58541020000, -0.32082100000],
3542  [ 0.91028610000, -0.27639320000, -0.38441180000],
3543  [ 0.88664630000, 0.17082040000, -0.48730390000],
3544  [ 0.54346280000, -0.80901700000, -0.32082100000],
3545  [-0.32405860000, 0.89442720000, -0.38441180000],
3546  [ 0.12377940000, 0.89442720000, -0.48730390000],
3547  [-0.70549210000, 0.63819660000, -0.38441180000],
3548  [-0.83657650000, -0.50000000000, -0.32082100000],
3549  [-0.87482650000, 0.22360680000, -0.48730390000],
3550  [-0.08831973000, -0.94721360000, -0.38441180000],
3551  [-0.49339300000, -0.75623060000, -0.48730390000],
3552  [ 0.46696290000, 0.63819660000, -0.65378680000],
3553  [ 0.61265760000, -0.50000000000, -0.65378680000],
3554  [ 0.57440760000, 0.22360680000, -0.82026960000],
3555  [ 0.23122410000, -0.75623060000, -0.65378680000],
3556  [-0.17384920000, 0.67082040000, -0.75667880000],
3557  [-0.55528270000, 0.41458980000, -0.75667880000],
3558  [-0.76738180000, -0.19098300000, -0.65378680000],
3559  [-0.42419820000, -0.44721360000, -0.82026960000],
3560  [ 0.16933440000, 0.41458980000, -0.92316170000],
3561  [ 0.40507320000, -0.19098300000, -0.92316170000],
3562  [ 0.02363976000, -0.44721360000, -0.92316170000],
3563  [-0.44783800000, 0.00000000000, -0.92316170000],
3564  [ 0.00000000000, 0.00000000000, -1.02605400000]
3565  ],
3566  [
3567  [1.02605400000, 0.00000000000, 0.00000000000],
3568  [1.02605379907, 0.00000000000, 25.87863946032],
3569  [1.02605378350, 93.02584502980, 25.87863766724],
3570  [1.02605376467, 154.75716551729, 25.87863550033],
3571  [1.02605378301, -112.21699072712, 25.87863761169],
3572  [1.02605376740, 46.51292280560, 36.92323115163],
3573  [1.02605385488, 13.97562138908, 50.41772025871],
3574  [1.02605379272, -36.74606097804, 42.48407886988],
3575  [1.02605384101, 107.00146913438, 50.41771961837],
3576  [1.02605375523, -158.72990977078, 36.92323024763],
3577  [1.02605385565, 140.78154683401, 50.41772029419],
3578  [1.02605378015, -75.47092320856, 42.48407810369],
3579  [1.02605381442, -126.19260960319, 50.41771839072],
3580  [1.02605383084, 56.87807432731, 61.64519778692],
3581  [1.02605384706, -14.33789625152, 61.64519827570],
3582  [1.02605377753, 30.86566216850, 71.77950886770],
3583  [1.02605381701, -42.13287071812, 67.99727322825],
3584  [1.02605380498, 84.67305060271, 67.99727295686],
3585  [1.02605381697, 123.89150656284, 71.77950959254],
3586  [1.02605378091, -169.09506295665, 61.64519628217],
3587  [1.02605380796, 163.10996149775, 67.99727302423],
3588  [1.02605382262, -97.87909363115, 61.64519753931],
3589  [1.02605381161, -70.08411643659, 67.99727310642],
3590  [1.02605377527, -143.08264822785, 71.77950882609],
3591  [1.02605379439, 52.13575161616, 87.12600115411],
3592  [1.02605409485, -9.59556958271, 87.12600199642],
3593  [1.02605375516, 15.64726159312, 92.87399895586],
3594  [1.02605378623, -34.83840577676, 92.87399886876],
3595  [1.02605380638, 102.62141758317, 87.12600118773],
3596  [1.02605380638, 77.37858241682, 92.87399881226],
3597  [1.02605378623, 145.16159422323, 87.12600113123],
3598  [1.02605375516, -164.35273840687, 87.12600104413],
3599  [1.02605409485, 170.40443041727, 92.87399800357],
3600  [1.02605380638, -102.62141758317, 87.12600118773],
3601  [1.02605380638, -77.37858241682, 92.87399881226],
3602  [1.02605379439, -127.86424838383, 92.87399884588],
3603  [1.02605377527, 36.91735177214, 108.22049117390],
3604  [1.02605380796, -16.89003850224, 112.00272697576],
3605  [1.02605378091, 10.90493704334, 118.35480371782],
3606  [1.02605381697, -56.10849343714, 108.22049040744],
3607  [1.02605381161, 109.91588356340, 112.00272689357],
3608  [1.02605382262, 82.12090636884, 118.35480246068],
3609  [1.02605381701, 137.86712928187, 112.00272677174],
3610  [1.02605377753, -149.13433783149, 108.22049113229],
3611  [1.02605384706, 165.66210374847, 118.35480172429],
3612  [1.02605380498, -95.32694939728, 112.00272704313],
3613  [1.02605383084, -123.12192567268, 118.35480221307],
3614  [1.02605381442, 53.80739039680, 129.58228160927],
3615  [1.02605385565, -39.21845316598, 129.58227970579],
3616  [1.02605375523, 21.27009022921, 143.07676975236],
3617  [1.02605384101, -72.99853086561, 129.58228038162],
3618  [1.02605378015, 104.52907679143, 137.51592189630],
3619  [1.02605379272, 143.25393902195, 137.51592113011],
3620  [1.02605385488, -166.02437861090, 129.58227974128],
3621  [1.02605376740, -133.48707719438, 143.07676884836],
3622  [1.02605378301, 67.78300927287, 154.12136238830],
3623  [1.02605376467, -25.24283448269, 154.12136449965],
3624  [1.02605378350, -86.97415497019, 154.12136233275],
3625  [1.02605379907, 179.99999999999, 154.12136053967],
3626  [1.02605400000, 0.00000000000, 179.99999999999]
3627  ],
3628  [
3629  [3,2,0],
3630  [5,6,1],
3631  [12,9,4],
3632  [14,16,7],
3633  [10,18,8],
3634  [22,21,11],
3635  [24,15,13],
3636  [28,29,17],
3637  [23,31,19],
3638  [32,30,20],
3639  [37,27,25],
3640  [36,38,26],
3641  [34,45,33],
3642  [46,43,35],
3643  [48,50,39],
3644  [51,41,40],
3645  [44,52,42],
3646  [55,49,47],
3647  [54,58,53],
3648  [59,57,56],
3649  [2,5,1,0],
3650  [4,9,3,0],
3651  [6,14,7,1],
3652  [3,10,8,2],
3653  [11,21,12,4],
3654  [13,15,6,5],
3655  [16,22,11,7],
3656  [18,28,17,8],
3657  [12,23,19,9],
3658  [20,30,18,10],
3659  [17,29,24,13],
3660  [25,27,16,14],
3661  [24,36,26,15],
3662  [31,32,20,19],
3663  [22,34,33,21],
3664  [35,43,31,23],
3665  [26,38,37,25],
3666  [37,48,39,27],
3667  [40,41,29,28],
3668  [32,44,42,30],
3669  [45,46,35,33],
3670  [39,50,45,34],
3671  [47,49,38,36],
3672  [42,52,51,40],
3673  [51,55,47,41],
3674  [46,54,53,43],
3675  [53,58,52,44],
3676  [56,57,50,48],
3677  [55,59,56,49],
3678  [57,59,58,54],
3679  [1,7,11,4,0],
3680  [8,17,13,5,2],
3681  [9,19,20,10,3],
3682  [15,26,25,14,6],
3683  [21,33,35,23,12],
3684  [27,39,34,22,16],
3685  [30,42,40,28,18],
3686  [29,41,47,36,24],
3687  [43,53,44,32,31],
3688  [38,49,56,48,37],
3689  [50,57,54,46,45],
3690  [52,58,59,55,51]
3691  ],
3692  [
3693  [0,1],
3694  [0,2],
3695  [0,3],
3696  [0,4],
3697  [1,5],
3698  [1,6],
3699  [1,7],
3700  [2,3],
3701  [2,5],
3702  [2,8],
3703  [3,9],
3704  [3,10],
3705  [4,9],
3706  [4,11],
3707  [4,12],
3708  [5,6],
3709  [5,13],
3710  [6,14],
3711  [6,15],
3712  [7,11],
3713  [7,14],
3714  [7,16],
3715  [8,10],
3716  [8,17],
3717  [8,18],
3718  [9,12],
3719  [9,19],
3720  [10,18],
3721  [10,20],
3722  [11,21],
3723  [11,22],
3724  [12,21],
3725  [12,23],
3726  [13,15],
3727  [13,17],
3728  [13,24],
3729  [14,16],
3730  [14,25],
3731  [15,24],
3732  [15,26],
3733  [16,22],
3734  [16,27],
3735  [17,28],
3736  [17,29],
3737  [18,28],
3738  [18,30],
3739  [19,20],
3740  [19,23],
3741  [19,31],
3742  [20,30],
3743  [20,32],
3744  [21,22],
3745  [21,33],
3746  [22,34],
3747  [23,31],
3748  [23,35],
3749  [24,29],
3750  [24,36],
3751  [25,26],
3752  [25,27],
3753  [25,37],
3754  [26,36],
3755  [26,38],
3756  [27,37],
3757  [27,39],
3758  [28,29],
3759  [28,40],
3760  [29,41],
3761  [30,32],
3762  [30,42],
3763  [31,32],
3764  [31,43],
3765  [32,44],
3766  [33,34],
3767  [33,35],
3768  [33,45],
3769  [34,39],
3770  [34,45],
3771  [35,43],
3772  [35,46],
3773  [36,38],
3774  [36,47],
3775  [37,38],
3776  [37,48],
3777  [38,49],
3778  [39,48],
3779  [39,50],
3780  [40,41],
3781  [40,42],
3782  [40,51],
3783  [41,47],
3784  [41,51],
3785  [42,44],
3786  [42,52],
3787  [43,46],
3788  [43,53],
3789  [44,52],
3790  [44,53],
3791  [45,46],
3792  [45,50],
3793  [46,54],
3794  [47,49],
3795  [47,55],
3796  [48,50],
3797  [48,56],
3798  [49,55],
3799  [49,56],
3800  [50,57],
3801  [51,52],
3802  [51,55],
3803  [52,58],
3804  [53,54],
3805  [53,58],
3806  [54,57],
3807  [54,58],
3808  [55,59],
3809  [56,57],
3810  [56,59],
3811  [57,59],
3812  [58,59]
3813  ]
3814  ],
3815  [
3816  "archimedean_rhombicuboctahedron",
3817  "Rhombicuboctahedron",
3818  empty_str,
3819  "archimedean",
3820  "George W. Hart, 1997. george@li.net",
3821  [
3822  [-0.38268328143, 0.92387933161, 0.38268275114],
3823  [-0.38268343592, 0.92387933161, -0.38268395285],
3824  [-0.92387956713, 0.38268363700, 0.38268319358],
3825  [-0.38268348346, 0.38268394530, 0.92387928288],
3826  [ 0.38268342775, 0.92387976304, 0.38268292984],
3827  [-0.92387954291, 0.38268320557, -0.38268368911],
3828  [-0.38268347397, 0.38268302193, -0.92388015529],
3829  [ 0.38268345196, 0.92387933161, -0.38268395285],
3830  [-0.92387953022, -0.38268325141, 0.38268356327],
3831  [ 0.38268340442, 0.38268394530, 0.92387928288],
3832  [-0.38268343288, -0.38268297614, 0.92387974597],
3833  [ 0.92387952807, 0.38268362957, 0.38268319029],
3834  [-0.92387952807, -0.38268362957, -0.38268319029],
3835  [ 0.38268343288, 0.38268297614, -0.92387974597],
3836  [-0.38268340442, -0.38268394530, -0.92387928288],
3837  [ 0.92387953022, 0.38268325141, -0.38268356327],
3838  [-0.38268345196, -0.92387933161, 0.38268395285],
3839  [ 0.38268347397, -0.38268302193, 0.92388015529],
3840  [ 0.92387954291, -0.38268320557, 0.38268368911],
3841  [-0.38268342775, -0.92387976304, -0.38268292984],
3842  [ 0.38268348346, -0.38268394530, -0.92387928288],
3843  [ 0.92387956713, -0.38268363700, -0.38268319358],
3844  [ 0.38268343592, -0.92387933161, 0.38268395285],
3845  [ 0.38268328143, -0.92387933161, -0.38268275114]
3846  ],
3847  [
3848  [1.07072200000, 112.49999641510, 69.05900891887],
3849  [1.07072248472, 112.50000459306, 110.94105000815],
3850  [1.07072248843, 157.49998992667, 69.05899357100],
3851  [1.07072245696, 134.99996542698, 30.36121857159],
3852  [1.07072248843, 67.50000529880, 69.05900868190],
3853  [1.07072249045, 157.50001223320, 110.94103477982],
3854  [1.07072287631, 135.00003384006, 149.63883548151],
3855  [1.07072249045, 67.49999455764, 110.94104989073],
3856  [1.07072245090, -157.50000952836, 69.05897162082],
3857  [1.07072242871, 45.00004049049, 30.36121599080],
3858  [1.07072249208, -135.00003419220, 30.36117275276],
3859  [1.07072245090, 22.50001053653, 69.05899299087],
3860  [1.07072245090, -157.49998946346, 110.94100700912],
3861  [1.07072249208, 44.99996580779, 149.63882724723],
3862  [1.07072242871, -134.99995950950, 149.63878400919],
3863  [1.07072245090, 22.49999047163, 110.94102837917],
3864  [1.07072249045, -112.50000544234, 69.05895010926],
3865  [1.07072287631, -44.99996615993, 30.36116451848],
3866  [1.07072249045, -22.49998776678, 69.05896522017],
3867  [1.07072248843, -112.49999470119, 110.94099131809],
3868  [1.07072245696, -45.00003457301, 149.63878142840],
3869  [1.07072248843, -22.50001007332, 110.94100642899],
3870  [1.07072248472, -67.49999540692, 69.05894999184],
3871  [1.07072200000, -67.50000358489, 110.94099108112]
3872  ],
3873  [
3874  [2,5,1,0],
3875  [3,0,4,9],
3876  [0,1,7,4],
3877  [7,1,6,13],
3878  [12,5,2,8],
3879  [2,3,10,8],
3880  [10,3,9,17],
3881  [4,7,15,11],
3882  [6,5,12,14],
3883  [20,13,6,14],
3884  [19,12,8,16],
3885  [11,18,17,9],
3886  [22,16,10,17],
3887  [11,15,21,18],
3888  [13,20,21,15],
3889  [20,14,19,23],
3890  [19,16,22,23],
3891  [21,23,22,18],
3892  [0,3,2],
3893  [1,5,6],
3894  [4,11,9],
3895  [7,13,15],
3896  [10,16,8],
3897  [14,12,19],
3898  [18,22,17],
3899  [21,20,23]
3900  ],
3901  [
3902  [0,1],
3903  [0,2],
3904  [0,3],
3905  [0,4],
3906  [1,5],
3907  [1,6],
3908  [1,7],
3909  [2,3],
3910  [2,5],
3911  [2,8],
3912  [3,9],
3913  [3,10],
3914  [4,7],
3915  [4,9],
3916  [4,11],
3917  [5,6],
3918  [5,12],
3919  [6,13],
3920  [6,14],
3921  [7,13],
3922  [7,15],
3923  [8,10],
3924  [8,12],
3925  [8,16],
3926  [9,11],
3927  [9,17],
3928  [10,16],
3929  [10,17],
3930  [11,15],
3931  [11,18],
3932  [12,14],
3933  [12,19],
3934  [13,15],
3935  [13,20],
3936  [14,19],
3937  [14,20],
3938  [15,21],
3939  [16,19],
3940  [16,22],
3941  [17,18],
3942  [17,22],
3943  [18,21],
3944  [18,22],
3945  [19,23],
3946  [20,21],
3947  [20,23],
3948  [21,23],
3949  [22,23]
3950  ]
3951  ],
3952  [
3953  "archimedean_snub_cuboctahedron",
3954  "Snub Cuboctahedron",
3955  empty_str,
3956  "archimedean",
3957  "George W. Hart, 1997. george@li.net",
3958  [
3959  [-0.27080486838, 0.91612592153, -0.49808755020],
3960  [ 0.49808752302, 0.91612592153, -0.27080485082],
3961  [ 0.27080461020, 0.49808762370, -0.91612594227],
3962  [-0.49808776095, 0.27080472331, -0.91612586036],
3963  [-0.91612603041, 0.49808754905, -0.27080459790],
3964  [-0.49808755600, 0.91612592153, 0.27080487431],
3965  [ 0.27080483540, 0.91612592153, 0.49808757369],
3966  [ 0.91612638185, 0.49808776091, 0.27080461106],
3967  [ 0.91612582460, 0.27080477644, -0.49808782776],
3968  [ 0.49808737939, -0.27080467879, -0.91612587453],
3969  [-0.27080496579, -0.49808761926, -0.91612588047],
3970  [-0.91612638116, -0.27080488360, -0.49808748945],
3971  [-0.91612582693, 0.27080476883, 0.49808776457],
3972  [-0.27080454048, 0.49808753367, 0.91612582796],
3973  [ 0.49808778376, 0.27080473693, 0.91612584341],
3974  [ 0.91612599837, -0.27080473304, 0.49808741445],
3975  [ 0.91612591445, -0.49808759505, -0.27080488342],
3976  [ 0.27080470991, -0.91612597736, -0.49808767275],
3977  [-0.49808763898, -0.91612596752, -0.27080463049],
3978  [-0.91612587282, -0.49808764658, 0.27080495527],
3979  [-0.49808740806, -0.27080480939, 0.91612601632],
3980  [ 0.27080490915, -0.49808763944, 0.91612593107],
3981  [ 0.49808769710, -0.91612596056, 0.27080465324],
3982  [-0.27080465180, -0.91612595072, 0.49808769550]
3983  ],
3984  [
3985  [1.07736400000, 106.46756696343, 117.53695200801],
3986  [1.07736398302, 61.46756400888, 104.55792985199],
3987  [1.07736398673, 61.46757444337, 148.24869417527],
3988  [1.07736400896, 151.46757102596, 148.24868398663],
3989  [1.07736402407, 151.46756561016, 104.55791538808],
3990  [1.07736400417, 118.53243758301, 75.44206914970],
3991  [1.07736400257, 73.53243493329, 62.46304665467],
3992  [1.07736442417, 28.53243539300, 75.44208941452],
3993  [1.07736402279, 16.46756332351, 117.53696802255],
3994  [1.07736383341, -28.53244343978, 148.24870050408],
3995  [1.07736402150, -118.53245734220, 148.24868494079],
3996  [1.07736436659, -163.53243997559, 117.53693819966],
3997  [1.07736399364, 163.53243715351, 62.46303495878],
3998  [1.07736383038, 118.53242371225, 31.75130394128],
3999  [1.07736400852, 28.53242908251, 31.75131768838],
4000  [1.07736396857, -16.46755787311, 62.46305526226],
4001  [1.07736401850, -28.53243965349, 104.55793115311],
4002  [1.07736406430, -73.53244309997, 117.53695757482],
4003  [1.07736402036, -118.53244038155, 104.55791723032],
4004  [1.07736402498, -151.46755676624, 75.44206498868],
4005  [1.07736400007, -151.46754634816, 31.75129948809],
4006  [1.07736405962, -61.46754866063, 31.75131322146],
4007  [1.07736404703, -61.46755663058, 75.44208188813],
4008  [1.07736403756, -106.46755401042, 62.46304031944]
4009  ],
4010  [
4011  [1,6,5,0],
4012  [3,10,9,2],
4013  [12,19,11,4],
4014  [8,16,15,7],
4015  [14,21,20,13],
4016  [18,23,22,17],
4017  [2,1,0],
4018  [3,2,0],
4019  [4,3,0],
4020  [5,4,0],
4021  [7,6,1],
4022  [8,7,1],
4023  [2,8,1],
4024  [9,8,2],
4025  [11,10,3],
4026  [4,11,3],
4027  [5,12,4],
4028  [13,12,5],
4029  [6,13,5],
4030  [14,13,6],
4031  [7,14,6],
4032  [15,14,7],
4033  [9,16,8],
4034  [17,16,9],
4035  [10,17,9],
4036  [18,17,10],
4037  [11,18,10],
4038  [19,18,11],
4039  [20,19,12],
4040  [13,20,12],
4041  [15,21,14],
4042  [22,21,15],
4043  [16,22,15],
4044  [17,22,16],
4045  [19,23,18],
4046  [20,23,19],
4047  [21,23,20],
4048  [22,23,21]
4049  ],
4050  [
4051  [0,1],
4052  [0,2],
4053  [0,3],
4054  [0,4],
4055  [0,5],
4056  [1,2],
4057  [1,6],
4058  [1,7],
4059  [1,8],
4060  [2,3],
4061  [2,8],
4062  [2,9],
4063  [3,4],
4064  [3,10],
4065  [3,11],
4066  [4,5],
4067  [4,11],
4068  [4,12],
4069  [5,6],
4070  [5,12],
4071  [5,13],
4072  [6,7],
4073  [6,13],
4074  [6,14],
4075  [7,8],
4076  [7,14],
4077  [7,15],
4078  [8,9],
4079  [8,16],
4080  [9,10],
4081  [9,16],
4082  [9,17],
4083  [10,11],
4084  [10,17],
4085  [10,18],
4086  [11,18],
4087  [11,19],
4088  [12,13],
4089  [12,19],
4090  [12,20],
4091  [13,14],
4092  [13,20],
4093  [14,15],
4094  [14,21],
4095  [15,16],
4096  [15,21],
4097  [15,22],
4098  [16,17],
4099  [16,22],
4100  [17,18],
4101  [17,22],
4102  [18,19],
4103  [18,23],
4104  [19,20],
4105  [19,23],
4106  [20,21],
4107  [20,23],
4108  [21,22],
4109  [21,23],
4110  [22,23]
4111  ]
4112  ],
4113  [
4114  "archimedean_snub_icosidodecahedron",
4115  "Snub Icosidodecahedron",
4116  "Snub Dodecahedron",
4117  "archimedean",
4118  "George W. Hart, 1997. george@li.net",
4119  [
4120  [ 0.00000000000, 0.00000000000, 1.02803100000],
4121  [ 0.46385690000, 0.00000000000, 0.91743420000],
4122  [ 0.21874360000, 0.40904090000, 0.91743420000],
4123  [-0.25754860000, 0.38578740000, 0.91743420000],
4124  [-0.46165090000, -0.04518499000, 0.91743420000],
4125  [-0.17785800000, -0.42840370000, 0.91743420000],
4126  [ 0.57267820000, -0.42840370000, 0.73848410000],
4127  [ 0.82594010000, -0.04518499000, 0.61043420000],
4128  [ 0.64379550000, 0.38578740000, 0.70252700000],
4129  [ 0.34964800000, 0.74964330000, 0.61043420000],
4130  [-0.42100900000, 0.71201840000, 0.61043420000],
4131  [-0.67831390000, 0.32123960000, 0.70252700000],
4132  [-0.60315360000, -0.44666580000, 0.70252700000],
4133  [-0.27496120000, -0.78013790000, 0.61043420000],
4134  [ 0.17607660000, -0.69317170000, 0.73848410000],
4135  [ 0.52081380000, -0.78013790000, 0.42069780000],
4136  [ 0.85525180000, -0.44666580000, 0.35479980000],
4137  [ 1.01294000000, -0.03548596000, 0.17187760000],
4138  [ 0.71822390000, 0.66184200000, 0.32088680000],
4139  [ 0.36336910000, 0.94545680000, 0.17584960000],
4140  [-0.04574087000, 0.93689370000, 0.42069780000],
4141  [-0.45373940000, 0.90556400000, 0.17584960000],
4142  [-0.77927910000, 0.58873120000, 0.32088680000],
4143  [-0.95372170000, 0.14622170000, 0.35479980000],
4144  [-0.90727010000, -0.32836990000, 0.35479980000],
4145  [-0.65033710000, -0.72865770000, 0.32088680000],
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4147  [ 0.39491530000, -0.94912620000, -0.00707255800],
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4150  [ 0.94636770000, 0.40148080000, -0.00707255800],
4151  [ 0.67045780000, 0.76628260000, -0.14193660000],
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4153  [-0.42943370000, 0.88457840000, -0.29992740000],
4154  [-0.95616810000, 0.37193210000, -0.06525234000],
4155  [-1.02203600000, -0.10003380000, -0.04779978000],
4156  [-0.86590560000, -0.55027120000, -0.06525234000],
4157  [-0.52277610000, -0.87785350000, -0.11369780000],
4158  [-0.06856319000, -1.02154200000, -0.09273844000],
4159  [ 0.22320460000, -0.89748780000, -0.44893660000],
4160  [ 0.65154380000, -0.72009470000, -0.33734720000],
4161  [ 0.79695350000, -0.32539590000, -0.56198880000],
4162  [ 0.80668720000, 0.43953540000, -0.46142500000],
4163  [ 0.44680350000, 0.73578800000, -0.56198880000],
4164  [ 0.00148880100, 0.89611550000, -0.50380900000],
4165  [-0.35354030000, 0.65376580000, -0.71024520000],
4166  [-0.73995170000, 0.55477580000, -0.44893660000],
4167  [-0.91202380000, 0.11021960000, -0.46142500000],
4168  [-0.65939980000, -0.61827980000, -0.48966390000],
4169  [-0.24906510000, -0.86080880000, -0.50380900000],
4170  [ 0.43010470000, -0.57649870000, -0.73451200000],
4171  [ 0.50575770000, -0.13052830000, -0.88544920000],
4172  [ 0.51177350000, 0.34222520000, -0.82329730000],
4173  [ 0.09739587000, 0.57719410000, -0.84510930000],
4174  [-0.60189460000, 0.25525910000, -0.79335640000],
4175  [-0.68790240000, -0.21007410000, -0.73451200000],
4176  [-0.33404370000, -0.51715090000, -0.82329730000],
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4178  [ 0.12773540000, 0.13136350000, -1.01157100000],
4179  [-0.30444990000, -0.06760332000, -0.97958600000]
4180  ],
4181  [
4182  [1.02803100000, 0.00000000000, 0.00000000000],
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4210  [1.02803145565, -23.63124299407, 96.34976506907],
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4230  [1.02803148896, -136.84333344220, 118.44481912468],
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4232  [1.02803145974, -53.27472004116, 135.60092468995],
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4239  [1.02803151925, -75.90897675581, 159.97493116783],
4240  [1.02803141469, 45.80224668162, 169.73317851975],
4241  [1.02803145958, -167.48055647785, 162.34037858498]
4242  ],
4243  [
4244  [2,1,0],
4245  [3,2,0],
4246  [4,3,0],
4247  [5,4,0],
4248  [7,6,1],
4249  [8,7,1],
4250  [2,8,1],
4251  [9,8,2],
4252  [11,10,3],
4253  [4,11,3],
4254  [5,12,4],
4255  [13,12,5],
4256  [14,13,5],
4257  [15,14,6],
4258  [16,15,6],
4259  [7,16,6],
4260  [17,16,7],
4261  [9,18,8],
4262  [19,18,9],
4263  [20,19,9],
4264  [21,20,10],
4265  [22,21,10],
4266  [11,22,10],
4267  [23,22,11],
4268  [25,24,12],
4269  [13,25,12],
4270  [14,26,13],
4271  [15,26,14],
4272  [27,26,15],
4273  [17,28,16],
4274  [29,28,17],
4275  [30,29,17],
4276  [31,30,18],
4277  [19,31,18],
4278  [20,32,19],
4279  [21,32,20],
4280  [33,32,21],
4281  [23,34,22],
4282  [35,34,23],
4283  [24,35,23],
4284  [36,35,24],
4285  [25,36,24],
4286  [37,36,25],
4287  [27,38,26],
4288  [39,38,27],
4289  [40,39,27],
4290  [41,40,28],
4291  [29,41,28],
4292  [30,42,29],
4293  [31,42,30],
4294  [43,42,31],
4295  [33,44,32],
4296  [45,44,33],
4297  [46,45,33],
4298  [47,46,34],
4299  [35,47,34],
4300  [37,48,36],
4301  [49,48,37],
4302  [38,49,37],
4303  [39,49,38],
4304  [40,50,39],
4305  [41,50,40],
4306  [51,50,41],
4307  [43,52,42],
4308  [53,52,43],
4309  [44,53,43],
4310  [45,53,44],
4311  [46,54,45],
4312  [47,54,46],
4313  [55,54,47],
4314  [56,55,48],
4315  [49,56,48],
4316  [51,57,50],
4317  [58,57,51],
4318  [52,58,51],
4319  [53,58,52],
4320  [55,59,54],
4321  [56,59,55],
4322  [57,59,56],
4323  [58,59,57],
4324  [1,6,14,5,0],
4325  [3,10,20,9,2],
4326  [12,24,23,11,4],
4327  [8,18,30,17,7],
4328  [26,38,37,25,13],
4329  [16,28,40,27,15],
4330  [32,44,43,31,19],
4331  [22,34,46,33,21],
4332  [42,52,51,41,29],
4333  [36,48,55,47,35],
4334  [50,57,56,49,39],
4335  [54,59,58,53,45]
4336  ],
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4339  [0,2],
4340  [0,3],
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4342  [0,5],
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4350  [3,4],
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4360  [6,14],
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4364  [7,16],
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4380  [13,14],
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4409  [24,25],
4410  [24,35],
4411  [24,36],
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4425  [30,31],
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4427  [31,42],
4428  [31,43],
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4431  [33,44],
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4433  [33,46],
4434  [34,35],
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4436  [34,47],
4437  [35,36],
4438  [35,47],
4439  [36,37],
4440  [36,48],
4441  [37,38],
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4443  [37,49],
4444  [38,39],
4445  [38,49],
4446  [39,40],
4447  [39,49],
4448  [39,50],
4449  [40,41],
4450  [40,50],
4451  [41,50],
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4453  [42,43],
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4455  [43,44],
4456  [43,52],
4457  [43,53],
4458  [44,45],
4459  [44,53],
4460  [45,46],
4461  [45,53],
4462  [45,54],
4463  [46,47],
4464  [46,54],
4465  [47,54],
4466  [47,55],
4467  [48,49],
4468  [48,55],
4469  [48,56],
4470  [49,56],
4471  [50,51],
4472  [50,57],
4473  [51,52],
4474  [51,57],
4475  [51,58],
4476  [52,53],
4477  [52,58],
4478  [53,58],
4479  [54,55],
4480  [54,59],
4481  [55,56],
4482  [55,59],
4483  [56,57],
4484  [56,59],
4485  [57,58],
4486  [57,59],
4487  [58,59]
4488  ]
4489  ],
4490  [
4491  "archimedean_truncated_cube",
4492  "Truncated Cube",
4493  empty_str,
4494  "archimedean",
4495  "George W. Hart, 1997. george@li.net",
4496  [
4497  [-0.29289338102, 0.70710695251, -0.70710688668],
4498  [-0.70710681195, 0.70710683515, -0.29289306754],
4499  [ 0.29289311951, 0.70710673807, -0.70710686619],
4500  [-0.70710691814, 0.29289326544, -0.70710663182],
4501  [-0.70710668246, 0.70710682884, 0.29289334392],
4502  [ 0.70710662250, 0.29289318824, -0.70710690325],
4503  [ 0.70710681060, 0.70710673807, -0.29289339277],
4504  [-0.70710695592, -0.29289320029, -0.70710666505],
4505  [-0.70710699991, 0.29289339044, 0.70710719193],
4506  [-0.29289298576, 0.70710681527, 0.70710683091],
4507  [ 0.70710699991, -0.29289339044, -0.70710719193],
4508  [ 0.70710686379, 0.70710673807, 0.29289308607],
4509  [-0.29289344731, -0.70710676370, -0.70710668854],
4510  [-0.70710686379, -0.70710673807, -0.29289308607],
4511  [-0.70710662250, -0.29289318824, 0.70710690325],
4512  [ 0.29289344731, 0.70710676370, 0.70710668854],
4513  [ 0.29289298576, -0.70710681527, -0.70710683091],
4514  [ 0.70710668246, -0.70710682884, -0.29289334392],
4515  [ 0.70710695592, 0.29289320029, 0.70710666505],
4516  [-0.70710681060, -0.70710673807, 0.29289339277],
4517  [-0.29289311951, -0.70710673807, 0.70710686619],
4518  [ 0.70710681195, -0.70710683515, 0.29289306754],
4519  [ 0.70710691814, -0.29289326544, 0.70710663182],
4520  [ 0.29289338102, -0.70710695251, 0.70710688668]
4521  ],
4522  [
4523  [1.04201100000, 112.50000631013, 132.73420563930],
4524  [1.04201078153, 134.99999906030, 106.32494102826],
4525  [1.04201076707, 67.50000563266, 132.73421593804],
4526  [1.04201077124, 157.50000069847, 132.73419818146],
4527  [1.04201076707, 134.99999406959, 73.67504290303],
4528  [1.04201073312, 22.50000243184, 132.73422043779],
4529  [1.04201080616, 44.99999706168, 106.32495926631],
4530  [1.04201080111, -157.50000628645, 132.73419915118],
4531  [1.04201124196, 157.49999439576, 47.26578380087],
4532  [1.04201075792, 112.49998290493, 47.26578623800],
4533  [1.04201124196, -22.50000560423, 132.73421619912],
4534  [1.04201075605, 44.99999490651, 73.67505749969],
4535  [1.04201075605, -112.50001630446, 132.73420319926],
4536  [1.04201075605, -135.00000509348, 106.32494250030],
4537  [1.04201073312, -157.49999756815, 47.26577956219],
4538  [1.04201075605, 67.49998369553, 47.26579680073],
4539  [1.04201075792, -67.50001709506, 132.73421376199],
4540  [1.04201076707, -45.00000593040, 106.32495709695],
4541  [1.04201080111, 22.49999371354, 47.26580084881],
4542  [1.04201080616, -135.00000293831, 73.67504073368],
4543  [1.04201076707, -112.49999436733, 47.26578406195],
4544  [1.04201078153, -45.00000093969, 73.67505897173],
4545  [1.04201077124, -22.49999930152, 47.26580181853],
4546  [1.04201100000, -67.49999368986, 47.26579436069]
4547  ],
4548  [
4549  [2,6,11,15,9,4,1,0],
4550  [3,7,12,16,10,5,2,0],
4551  [4,8,14,19,13,7,3,1],
4552  [10,17,21,22,18,11,6,5],
4553  [9,15,18,22,23,20,14,8],
4554  [13,19,20,23,21,17,16,12],
4555  [1,3,0],
4556  [5,6,2],
4557  [9,8,4],
4558  [13,12,7],
4559  [16,17,10],
4560  [18,15,11],
4561  [20,19,14],
4562  [23,22,21]
4563  ],
4564  [
4565  [0,1],
4566  [0,2],
4567  [0,3],
4568  [1,3],
4569  [1,4],
4570  [2,5],
4571  [2,6],
4572  [3,7],
4573  [4,8],
4574  [4,9],
4575  [5,6],
4576  [5,10],
4577  [6,11],
4578  [7,12],
4579  [7,13],
4580  [8,9],
4581  [8,14],
4582  [9,15],
4583  [10,16],
4584  [10,17],
4585  [11,15],
4586  [11,18],
4587  [12,13],
4588  [12,16],
4589  [13,19],
4590  [14,19],
4591  [14,20],
4592  [15,18],
4593  [16,17],
4594  [17,21],
4595  [18,22],
4596  [19,20],
4597  [20,23],
4598  [21,22],
4599  [21,23],
4600  [22,23]
4601  ]
4602  ],
4603  [
4604  "archimedean_truncated_cuboctahedron",
4605  "Truncated Cuboctahedron",
4606  "Great Rhombicuboctahedron",
4607  "archimedean",
4608  "George W. Hart, 1997. george@li.net",
4609  [
4610  [ 0.00000000000, 0.00000000000, 1.02411700000],
4611  [ 0.43147880000, 0.00000000000, 0.92878500000],
4612  [-0.02106287000, 0.43096440000, 0.92878500000],
4613  [-0.34105820000, -0.26429770000, 0.92878500000],
4614  [ 0.41041590000, 0.43096440000, 0.83345300000],
4615  [ 0.70062380000, -0.26429770000, 0.69863330000],
4616  [-0.38318390000, 0.59763110000, 0.73812110000],
4617  [-0.39190840000, -0.63807120000, 0.69863330000],
4618  [-0.70317920000, -0.09763107000, 0.73812110000],
4619  [ 0.65849810000, 0.59763110000, 0.50796940000],
4620  [ 0.64977360000, -0.63807120000, 0.46848160000],
4621  [ 0.94870600000, -0.09763107000, 0.37314960000],
4622  [-0.46382160000, 0.83333330000, 0.37314960000],
4623  [-0.72424210000, 0.33333330000, 0.64278910000],
4624  [-0.75402950000, -0.47140450000, 0.50796940000],
4625  [-0.12276340000, -0.90236890000, 0.46848160000],
4626  [ 0.57786040000, 0.83333330000, 0.14299790000],
4627  [ 0.92764310000, 0.33333330000, 0.27781770000],
4628  [ 0.89785570000, -0.47140450000, 0.14299790000],
4629  [ 0.30871540000, -0.90236890000, 0.37314960000],
4630  [-0.80487970000, 0.56903560000, 0.27781770000],
4631  [-0.21573940000, 1.00000000000, 0.04766598000],
4632  [-0.84700550000, -0.56903560000, 0.08715377000],
4633  [-0.21573940000, -1.00000000000, 0.04766598000],
4634  [ 0.84700550000, 0.56903560000, -0.08715377000],
4635  [ 0.21573940000, 1.00000000000, -0.04766598000],
4636  [ 0.80487970000, -0.56903560000, -0.27781770000],
4637  [ 0.21573940000, -1.00000000000, -0.04766598000],
4638  [-0.89785570000, 0.47140450000, -0.14299790000],
4639  [-0.30871540000, 0.90236890000, -0.37314960000],
4640  [-0.92764310000, -0.33333330000, -0.27781770000],
4641  [-0.57786040000, -0.83333330000, -0.14299790000],
4642  [ 0.75402950000, 0.47140450000, -0.50796940000],
4643  [ 0.12276340000, 0.90236890000, -0.46848160000],
4644  [ 0.72424210000, -0.33333330000, -0.64278910000],
4645  [ 0.46382160000, -0.83333330000, -0.37314960000],
4646  [-0.94870600000, 0.09763107000, -0.37314960000],
4647  [-0.64977360000, 0.63807120000, -0.46848160000],
4648  [-0.65849810000, -0.59763110000, -0.50796940000],
4649  [ 0.70317920000, 0.09763107000, -0.73812110000],
4650  [ 0.39190840000, 0.63807120000, -0.69863330000],
4651  [ 0.38318390000, -0.59763110000, -0.73812110000],
4652  [-0.70062380000, 0.26429770000, -0.69863330000],
4653  [-0.41041590000, -0.43096440000, -0.83345300000],
4654  [ 0.34105820000, 0.26429770000, -0.92878500000],
4655  [ 0.02106287000, -0.43096440000, -0.92878500000],
4656  [-0.43147880000, 0.00000000000, -0.92878500000],
4657  [ 0.00000000000, 0.00000000000, -1.02411700000]
4658  ],
4659  [
4660  [1.02411700000, 0.00000000000, 0.00000000000],
4661  [1.02411695185, 0.00000000000, 24.91781980135],
4662  [1.02411695367, 92.79803632418, 24.91782001952],
4663  [1.02411695926, -142.22666729323, 24.91782069288],
4664  [1.02411690165, 46.39902055343, 35.52855201714],
4665  [1.02411692263, -20.66807926136, 46.98567512502],
4666  [1.02411698119, 122.66682676089, 43.88446848189],
4667  [1.02411695530, -121.55857659816, 46.98567683011],
4668  [1.02411697155, -172.09545194119, 43.88446792059],
4669  [1.02411698098, 42.22584541488, 60.26381155895],
4670  [1.02411698407, -44.47937851151, 62.77736226499],
4671  [1.02411694852, -5.87560924705, 68.63165757972],
4672  [1.02411693155, 119.09969739844, 68.63165720834],
4673  [1.02411695396, 155.28569153362, 51.12289370201],
4674  [1.02411698591, -147.98718270752, 60.26381171653],
4675  [1.02411693356, -97.74728085731, 62.77736081123],
4676  [1.02411690260, 55.26130310742, 81.97353767093],
4677  [1.02411692902, 19.76506601976, 74.25982703997],
4678  [1.02411691718, -27.70098643930, 81.97353778597],
4679  [1.02411691416, -71.11332999914, 68.63165682755],
4680  [1.02411694643, 144.74037024618, 74.25982731460],
4681  [1.02411695346, 102.17436673531, 87.33229053465],
4682  [1.02411699074, -146.10598764812, 85.11814531553],
4683  [1.02411695346, -102.17436673531, 87.33229053465],
4684  [1.02411699074, 33.89401235187, 94.88185468446],
4685  [1.02411695346, 77.82563326468, 92.66770946534],
4686  [1.02411694643, -35.25962975381, 105.74017268539],
4687  [1.02411695346, -77.82563326468, 92.66770946534],
4688  [1.02411691718, 152.29901356069, 98.02646221402],
4689  [1.02411691416, 108.88667000084, 111.36834317244],
4690  [1.02411692902, -160.23493398023, 105.74017296002],
4691  [1.02411690260, -124.73869689257, 98.02646232906],
4692  [1.02411698591, 32.01281729247, 119.73618828346],
4693  [1.02411693356, 82.25271914268, 117.22263918875],
4694  [1.02411695396, -24.71430846637, 128.87710629797],
4695  [1.02411693155, -60.90030260155, 111.36834279165],
4696  [1.02411694852, 174.12439075294, 111.36834242027],
4697  [1.02411698407, 135.52062148848, 117.22263773500],
4698  [1.02411698098, -137.77415458511, 119.73618844104],
4699  [1.02411697155, 7.90454805880, 136.11553207940],
4700  [1.02411695530, 58.44142340183, 133.01432316988],
4701  [1.02411698119, -57.33317323909, 136.11553151810],
4702  [1.02411692263, 159.33192073863, 133.01432487497],
4703  [1.02411690165, -133.60097944655, 144.47144798284],
4704  [1.02411695926, 37.77333270676, 155.08217930711],
4705  [1.02411695367, -87.20196367581, 155.08217998047],
4706  [1.02411695185, 179.99999999999, 155.08218019864],
4707  [1.02411700000, 0.00000000000, 179.99999999999]
4708  ],
4709  [
4710  [2,4,1,0],
4711  [7,14,8,3],
4712  [11,18,10,5],
4713  [13,20,12,6],
4714  [16,24,17,9],
4715  [19,27,23,15],
4716  [29,33,25,21],
4717  [31,38,30,22],
4718  [34,41,35,26],
4719  [36,42,37,28],
4720  [40,44,39,32],
4721  [45,47,46,43],
4722  [3,8,13,6,2,0],
4723  [4,9,17,11,5,1],
4724  [15,23,31,22,14,7],
4725  [18,26,35,27,19,10],
4726  [20,28,37,29,21,12],
4727  [25,33,40,32,24,16],
4728  [38,43,46,42,36,30],
4729  [39,44,47,45,41,34],
4730  [1,5,10,19,15,7,3,0],
4731  [6,12,21,25,16,9,4,2],
4732  [14,22,30,36,28,20,13,8],
4733  [17,24,32,39,34,26,18,11],
4734  [27,35,41,45,43,38,31,23],
4735  [37,42,46,47,44,40,33,29]
4736  ],
4737  [
4738  [0,1],
4739  [0,2],
4740  [0,3],
4741  [1,4],
4742  [1,5],
4743  [2,4],
4744  [2,6],
4745  [3,7],
4746  [3,8],
4747  [4,9],
4748  [5,10],
4749  [5,11],
4750  [6,12],
4751  [6,13],
4752  [7,14],
4753  [7,15],
4754  [8,13],
4755  [8,14],
4756  [9,16],
4757  [9,17],
4758  [10,18],
4759  [10,19],
4760  [11,17],
4761  [11,18],
4762  [12,20],
4763  [12,21],
4764  [13,20],
4765  [14,22],
4766  [15,19],
4767  [15,23],
4768  [16,24],
4769  [16,25],
4770  [17,24],
4771  [18,26],
4772  [19,27],
4773  [20,28],
4774  [21,25],
4775  [21,29],
4776  [22,30],
4777  [22,31],
4778  [23,27],
4779  [23,31],
4780  [24,32],
4781  [25,33],
4782  [26,34],
4783  [26,35],
4784  [27,35],
4785  [28,36],
4786  [28,37],
4787  [29,33],
4788  [29,37],
4789  [30,36],
4790  [30,38],
4791  [31,38],
4792  [32,39],
4793  [32,40],
4794  [33,40],
4795  [34,39],
4796  [34,41],
4797  [35,41],
4798  [36,42],
4799  [37,42],
4800  [38,43],
4801  [39,44],
4802  [40,44],
4803  [41,45],
4804  [42,46],
4805  [43,45],
4806  [43,46],
4807  [44,47],
4808  [45,47],
4809  [46,47]
4810  ]
4811  ],
4812  [
4813  "archimedean_truncated_dodecahedron",
4814  "Truncated Dodecahedron",
4815  empty_str,
4816  "archimedean",
4817  "George W. Hart, 1997. george@li.net",
4818  [
4819  [ 0.00000000000, 0.00000000000, 1.01448500000],
4820  [ 0.33676280000, 0.00000000000, 0.95695890000],
4821  [-0.29022330000, 0.17082040000, 0.95695890000],
4822  [ 0.16346810000, -0.29442720000, 0.95695890000],
4823  [ 0.59143320000, 0.17082040000, 0.80635400000],
4824  [-0.59634650000, 0.15278640000, 0.80635400000],
4825  [-0.42305170000, 0.44721360000, 0.80635400000],
4826  [ 0.13774170000, -0.60000000000, 0.80635400000],
4827  [ 0.83020370000, 0.15278640000, 0.56267020000],
4828  [ 0.66673560000, 0.44721360000, 0.62019610000],
4829  [-0.80144070000, -0.04721360000, 0.62019610000],
4830  [-0.34774930000, 0.72360680000, 0.62019610000],
4831  [-0.06735256000, -0.80000000000, 0.62019610000],
4832  [ 0.26941020000, -0.80000000000, 0.56267020000],
4833  [ 0.96187220000, -0.04721360000, 0.31898630000],
4834  [ 0.53390720000, 0.72360680000, 0.46959120000],
4835  [-0.82716710000, -0.35278640000, 0.46959120000],
4836  [-0.95999550000, -0.07639320000, 0.31898630000],
4837  [-0.39920210000, 0.87639320000, 0.31898630000],
4838  [-0.09307895000, 0.89442720000, 0.46959120000],
4839  [-0.37347570000, -0.81803400000, 0.46959120000],
4840  [ 0.50818080000, -0.81803400000, 0.31898630000],
4841  [ 0.93614590000, -0.35278640000, 0.16838140000],
4842  [ 1.01144800000, -0.07639320000, -0.01777650000],
4843  [ 0.48245440000, 0.87639320000, 0.16838140000],
4844  [ 0.24368390000, 0.89442720000, 0.41206530000],
4845  [-0.66369900000, -0.64721360000, 0.41206530000],
4846  [-1.01144800000, 0.07639320000, 0.01777650000],
4847  [-0.55775690000, 0.84721360000, 0.01777650000],
4848  [-0.53203050000, -0.84721360000, 0.16838140000],
4849  [ 0.55775690000, -0.84721360000, -0.01777650000],
4850  [ 0.76285110000, -0.64721360000, 0.16838140000],
4851  [ 0.95999550000, 0.07639320000, -0.31898630000],
4852  [ 0.53203050000, 0.84721360000, -0.16838140000],
4853  [-0.96187220000, 0.04721360000, -0.31898630000],
4854  [-0.93614590000, 0.35278640000, -0.16838140000],
4855  [-0.76285110000, 0.64721360000, -0.16838140000],
4856  [-0.50818080000, 0.81803400000, -0.31898630000],
4857  [-0.48245440000, -0.87639320000, -0.16838140000],
4858  [ 0.39920210000, -0.87639320000, -0.31898630000],
4859  [ 0.80144070000, 0.04721360000, -0.62019610000],
4860  [ 0.82716710000, 0.35278640000, -0.46959120000],
4861  [ 0.66369900000, 0.64721360000, -0.41206530000],
4862  [ 0.37347570000, 0.81803400000, -0.46959120000],
4863  [-0.83020370000, -0.15278640000, -0.56267020000],
4864  [-0.26941020000, 0.80000000000, -0.56267020000],
4865  [-0.53390720000, -0.72360680000, -0.46959120000],
4866  [-0.24368390000, -0.89442720000, -0.41206530000],
4867  [ 0.09307895000, -0.89442720000, -0.46959120000],
4868  [ 0.34774930000, -0.72360680000, -0.62019610000],
4869  [ 0.59634650000, -0.15278640000, -0.80635400000],
4870  [ 0.06735256000, 0.80000000000, -0.62019610000],
4871  [-0.66673560000, -0.44721360000, -0.62019610000],
4872  [-0.59143320000, -0.17082040000, -0.80635400000],
4873  [-0.13774170000, 0.60000000000, -0.80635400000],
4874  [ 0.42305170000, -0.44721360000, -0.80635400000],
4875  [ 0.29022330000, -0.17082040000, -0.95695890000],
4876  [-0.33676280000, 0.00000000000, -0.95695890000],
4877  [-0.16346810000, 0.29442720000, -0.95695890000],
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5068  ],
5069  [
5070  "archimedean_truncated_icosahedron",
5071  "Truncated Icosahedron",
5072  "Soccer Ball",
5073  "archimedean",
5074  "George W. Hart, 1997. george@li.net",
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5310  [48,49],
5311  [48,56],
5312  [49,50],
5313  [50,57],
5314  [51,52],
5315  [51,58],
5316  [52,56],
5317  [53,54],
5318  [53,57],
5319  [54,55],
5320  [55,58],
5321  [56,59],
5322  [57,59],
5323  [58,59]
5324  ]
5325  ],
5326  [
5327  "archimedean_truncated_icosidodecahedron",
5328  "Truncated Icosidodecahedron",
5329  "Great Rhombicosidodecahedron",
5330  "archimedean",
5331  "George W. Hart, 1997. george@li.net",
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5636  [73,85,95,104,111,106,98,87,76,64],
5637  [89,99,107,113,117,115,110,103,94,83],
5638  [101,109,114,118,119,116,112,105,97,92]
5639  ],
5640  [
5641  [0,1],
5642  [0,2],
5643  [0,3],
5644  [1,4],
5645  [1,5],
5646  [2,4],
5647  [2,6],
5648  [3,7],
5649  [3,8],
5650  [4,9],
5651  [5,10],
5652  [5,11],
5653  [6,12],
5654  [6,13],
5655  [7,14],
5656  [7,15],
5657  [8,13],
5658  [8,14],
5659  [9,16],
5660  [9,17],
5661  [10,18],
5662  [10,19],
5663  [11,17],
5664  [11,18],
5665  [12,20],
5666  [12,21],
5667  [13,20],
5668  [14,22],
5669  [15,23],
5670  [15,24],
5671  [16,25],
5672  [16,26],
5673  [17,25],
5674  [18,27],
5675  [19,28],
5676  [19,29],
5677  [20,30],
5678  [21,31],
5679  [21,32],
5680  [22,33],
5681  [22,34],
5682  [23,28],
5683  [23,35],
5684  [24,34],
5685  [24,35],
5686  [25,36],
5687  [26,37],
5688  [26,38],
5689  [27,39],
5690  [27,40],
5691  [28,41],
5692  [29,40],
5693  [29,41],
5694  [30,42],
5695  [30,43],
5696  [31,37],
5697  [31,44],
5698  [32,43],
5699  [32,44],
5700  [33,45],
5701  [33,46],
5702  [34,45],
5703  [35,47],
5704  [36,48],
5705  [36,49],
5706  [37,50],
5707  [38,49],
5708  [38,50],
5709  [39,51],
5710  [39,52],
5711  [40,51],
5712  [41,53],
5713  [42,54],
5714  [42,55],
5715  [43,54],
5716  [44,56],
5717  [45,57],
5718  [46,55],
5719  [46,58],
5720  [47,53],
5721  [47,59],
5722  [48,60],
5723  [48,61],
5724  [49,60],
5725  [50,62],
5726  [51,63],
5727  [52,61],
5728  [52,64],
5729  [53,65],
5730  [54,66],
5731  [55,67],
5732  [56,62],
5733  [56,68],
5734  [57,69],
5735  [57,70],
5736  [58,67],
5737  [58,70],
5738  [59,65],
5739  [59,71],
5740  [60,72],
5741  [61,73],
5742  [62,74],
5743  [63,75],
5744  [63,76],
5745  [64,73],
5746  [64,76],
5747  [65,77],
5748  [66,78],
5749  [66,79],
5750  [67,79],
5751  [68,74],
5752  [68,80],
5753  [69,81],
5754  [69,82],
5755  [70,81],
5756  [71,82],
5757  [71,83],
5758  [72,84],
5759  [72,85],
5760  [73,85],
5761  [74,86],
5762  [75,87],
5763  [75,88],
5764  [76,87],
5765  [77,88],
5766  [77,89],
5767  [78,90],
5768  [78,91],
5769  [79,90],
5770  [80,91],
5771  [80,92],
5772  [81,93],
5773  [82,94],
5774  [83,89],
5775  [83,94],
5776  [84,95],
5777  [84,96],
5778  [85,95],
5779  [86,96],
5780  [86,97],
5781  [87,98],
5782  [88,99],
5783  [89,99],
5784  [90,100],
5785  [91,101],
5786  [92,97],
5787  [92,101],
5788  [93,102],
5789  [93,103],
5790  [94,103],
5791  [95,104],
5792  [96,105],
5793  [97,105],
5794  [98,106],
5795  [98,107],
5796  [99,107],
5797  [100,108],
5798  [100,109],
5799  [101,109],
5800  [102,108],
5801  [102,110],
5802  [103,110],
5803  [104,111],
5804  [104,112],
5805  [105,112],
5806  [106,111],
5807  [106,113],
5808  [107,113],
5809  [108,114],
5810  [109,114],
5811  [110,115],
5812  [111,116],
5813  [112,116],
5814  [113,117],
5815  [114,118],
5816  [115,117],
5817  [115,118],
5818  [116,119],
5819  [117,119],
5820  [118,119]
5821  ]
5822  ],
5823  [
5824  "archimedean_truncated_octahedron",
5825  "Truncated Octahedron",
5826  empty_str,
5827  "archimedean",
5828  "Exact Mathematics",
5829  [
5830  [ 0.00000000000, 1.00000000000, 2.00000000000],
5831  [ 0.00000000000, 2.00000000000, 1.00000000000],
5832  [ 1.00000000000, 0.00000000000, 2.00000000000],
5833  [ 1.00000000000, 2.00000000000, 0.00000000000],
5834  [ 2.00000000000, 0.00000000000, 1.00000000000],
5835  [ 2.00000000000, 1.00000000000, 0.00000000000],
5836  [ 0.00000000000, -1.00000000000, 2.00000000000],
5837  [ 0.00000000000, 2.00000000000, -1.00000000000],
5838  [-1.00000000000, 0.00000000000, 2.00000000000],
5839  [-1.00000000000, 2.00000000000, 0.00000000000],
5840  [ 2.00000000000, 0.00000000000, -1.00000000000],
5841  [ 2.00000000000, -1.00000000000, 0.00000000000],
5842  [ 0.00000000000, 1.00000000000, -2.00000000000],
5843  [ 0.00000000000, -2.00000000000, 1.00000000000],
5844  [ 1.00000000000, 0.00000000000, -2.00000000000],
5845  [ 1.00000000000, -2.00000000000, 0.00000000000],
5846  [-2.00000000000, 0.00000000000, 1.00000000000],
5847  [-2.00000000000, 1.00000000000, 0.00000000000],
5848  [ 0.00000000000, -1.00000000000, -2.00000000000],
5849  [ 0.00000000000, -2.00000000000, -1.00000000000],
5850  [-1.00000000000, 0.00000000000, -2.00000000000],
5851  [-1.00000000000, -2.00000000000, 0.00000000000],
5852  [-2.00000000000, 0.00000000000, -1.00000000000],
5853  [-2.00000000000, -1.00000000000, 0.00000000000]
5854  ],
5855  [
5856  [2.23606797750, 89.99999999999, 26.56505117708],
5857  [2.23606797750, 89.99999999999, 63.43494882292],
5858  [2.23606797750, 0.00000000000, 26.56505117708],
5859  [2.23606797750, 63.43494882292, 89.99999999999],
5860  [2.23606797750, 0.00000000000, 63.43494882292],
5861  [2.23606797750, 26.56505117708, 89.99999999999],
5862  [2.23606797750, -89.99999999999, 26.56505117708],
5863  [2.23606797750, 89.99999999999, 116.56505117707],
5864  [2.23606797750, 179.99999999999, 26.56505117708],
5865  [2.23606797750, 116.56505117707, 89.99999999999],
5866  [2.23606797750, 0.00000000000, 116.56505117707],
5867  [2.23606797750, -26.56505117708, 89.99999999999],
5868  [2.23606797750, 89.99999999999, 153.43494882291],
5869  [2.23606797750, -89.99999999999, 63.43494882292],
5870  [2.23606797750, 0.00000000000, 153.43494882291],
5871  [2.23606797750, -63.43494882292, 89.99999999999],
5872  [2.23606797750, 179.99999999999, 63.43494882292],
5873  [2.23606797750, 153.43494882291, 89.99999999999],
5874  [2.23606797750, -89.99999999999, 153.43494882291],
5875  [2.23606797750, -89.99999999999, 116.56505117707],
5876  [2.23606797750, 179.99999999999, 153.43494882291],
5877  [2.23606797750, -116.56505117707, 89.99999999999],
5878  [2.23606797750, 179.99999999999, 116.56505117707],
5879  [2.23606797750, -153.43494882291, 89.99999999999]
5880  ],
5881  [
5882  [7,3,1,9],
5883  [12,7,9,17,22,20],
5884  [1,0,8,16,17,9],
5885  [11,4,5,10],
5886  [16,23,22,17],
5887  [14,10,5,3,7,12],
5888  [4,2,0,1,3,5],
5889  [21,13,15,19],
5890  [19,18,20,22,23,21],
5891  [14,18,19,15,11,10],
5892  [18,14,12,20],
5893  [23,16,8,6,13,21],
5894  [15,13,6,2,4,11],
5895  [2,6,8,0]
5896  ],
5897  [
5898  [0,1],
5899  [0,2],
5900  [0,8],
5901  [1,3],
5902  [1,9],
5903  [2,4],
5904  [2,6],
5905  [3,5],
5906  [3,7],
5907  [4,5],
5908  [4,11],
5909  [5,10],
5910  [6,8],
5911  [6,13],
5912  [7,9],
5913  [7,12],
5914  [8,16],
5915  [9,17],
5916  [10,11],
5917  [10,14],
5918  [11,15],
5919  [12,14],
5920  [12,20],
5921  [13,15],
5922  [13,21],
5923  [14,18],
5924  [15,19],
5925  [16,17],
5926  [16,23],
5927  [17,22],
5928  [18,19],
5929  [18,20],
5930  [19,21],
5931  [20,22],
5932  [21,23],
5933  [22,23]
5934  ]
5935  ],
5936  [
5937  "archimedean_truncated_tetrahedron",
5938  "Truncated Tetrahedron",
5939  empty_str,
5940  "archimedean",
5941  "Exact Mathematics",
5942  [
5943  [ 1.00000000000, 1.00000000000, -3.00000000000],
5944  [ 3.00000000000, 1.00000000000, -1.00000000000],
5945  [ 1.00000000000, 3.00000000000, -1.00000000000],
5946  [-1.00000000000, 1.00000000000, 3.00000000000],
5947  [-3.00000000000, 1.00000000000, 1.00000000000],
5948  [-1.00000000000, 3.00000000000, 1.00000000000],
5949  [ 1.00000000000, -1.00000000000, 3.00000000000],
5950  [ 3.00000000000, -1.00000000000, 1.00000000000],
5951  [ 1.00000000000, -3.00000000000, 1.00000000000],
5952  [-1.00000000000, -1.00000000000, -3.00000000000],
5953  [-3.00000000000, -1.00000000000, -1.00000000000],
5954  [-1.00000000000, -3.00000000000, -1.00000000000]
5955  ],
5956  [
5957  [3.31662479036, 45.00000000000, 154.76059817931],
5958  [3.31662479036, 18.43494882292, 107.54840061379],
5959  [3.31662479036, 71.56505117707, 107.54840061379],
5960  [3.31662479036, 134.99999999999, 25.23940182068],
5961  [3.31662479036, 161.56505117707, 72.45159938620],
5962  [3.31662479036, 108.43494882291, 72.45159938620],
5963  [3.31662479036, -45.00000000000, 25.23940182068],
5964  [3.31662479036, -18.43494882292, 72.45159938620],
5965  [3.31662479036, -71.56505117707, 72.45159938620],
5966  [3.31662479036, -134.99999999999, 154.76059817931],
5967  [3.31662479036, -161.56505117707, 107.54840061379],
5968  [3.31662479036, -108.43494882291, 107.54840061379]
5969  ],
5970  [
5971  [0,1,2],
5972  [3,4,5],
5973  [6,7,8],
5974  [9,10,11],
5975  [0,2,5,4,10,9],
5976  [5,2,1,7,6,3],
5977  [4,3,6,8,11,10],
5978  [1,0,9,11,8,7]
5979  ],
5980  [
5981  [0,1],
5982  [0,2],
5983  [0,9],
5984  [1,2],
5985  [1,7],
5986  [2,5],
5987  [3,4],
5988  [3,5],
5989  [3,6],
5990  [4,5],
5991  [4,10],
5992  [6,7],
5993  [6,8],
5994  [7,8],
5995  [8,11],
5996  [9,10],
5997  [9,11],
5998  [10,11]
5999  ]
6000  ],
6001  [
6002  "cupolas_pentagonal_cupola",
6003  "Pentagonal Cupola",
6004  "J5",
6005  "cupolas",
6006  "Polyhedron Database #49",
6007  [
6008  [ 0.30722035250, -0.10767686506, -0.94552702116],
6009  [-0.30722035250, -0.10767686506, -0.94552702116],
6010  [ 0.80431332487, -0.10767686506, -0.58436783636],
6011  [ 0.30722035250, 0.21535373011, -0.42285253878],
6012  [-0.30722035250, 0.21535373011, -0.42285253878],
6013  [-0.80431332487, -0.10767686506, -0.58436783636],
6014  [ 0.99418594475, -0.10767686506, 0.00000000000],
6015  [ 0.49709297237, 0.21535373011, 0.16151529758],
6016  [-0.49709297237, 0.21535373011, 0.16151529758],
6017  [-0.99418594475, -0.10767686506, -0.00000000000],
6018  [ 0.00000000000, 0.21535373011, 0.52267448238],
6019  [ 0.80431332487, -0.10767686506, 0.58436783636],
6020  [-0.80431332487, -0.10767686506, 0.58436783636],
6021  [ 0.30722035250, -0.10767686506, 0.94552702116],
6022  [-0.30722035250, -0.10767686506, 0.94552702116]
6023  ],
6024  [
6025  [1.00000000000, -19.31492121303, 161.00148636537],
6026  [1.00000000000, -160.68507878696, 161.00148636537],
6027  [1.00000000000, -7.62509363515, 125.75834309459],
6028  [0.56530155104, 35.02948816948, 138.41849317790],
6029  [0.56530155104, 144.97051183050, 138.41849317790],
6030  [1.00000000000, -172.37490636484, 125.75834309458],
6031  [1.00000000000, -6.18141426338, 89.99999999999],
6032  [0.56530155104, 23.42352770491, 73.39839025197],
6033  [0.56530155104, 156.57647229507, 73.39839025196],
6034  [1.00000000000, -173.81858573662, 89.99999999999],
6035  [0.56530155104, 89.99999999997, 22.39277092895],
6036  [1.00000000000, -7.62509363516, 54.24165690541],
6037  [1.00000000000, -172.37490636484, 54.24165690540],
6038  [1.00000000000, -19.31492121306, 18.99851363462],
6039  [1.00000000000, -160.68507878694, 18.99851363462]
6040  ],
6041  [
6042  [0,1,5,9,12,14,13,11,6,2],
6043  [7,10,8,4,3],
6044  [1,0,3,4],
6045  [5,1,4],
6046  [9,5,4,8],
6047  [12,9,8],
6048  [14,12,8,10],
6049  [13,14,10],
6050  [11,13,10,7],
6051  [6,11,7],
6052  [2,6,7,3],
6053  [0,2,3]
6054  ],
6055  [
6056  [0,1],
6057  [0,2],
6058  [0,3],
6059  [1,4],
6060  [1,5],
6061  [2,3],
6062  [2,6],
6063  [3,4],
6064  [3,7],
6065  [4,5],
6066  [4,8],
6067  [5,9],
6068  [6,7],
6069  [6,11],
6070  [7,10],
6071  [7,11],
6072  [8,9],
6073  [8,10],
6074  [8,12],
6075  [9,12],
6076  [10,13],
6077  [10,14],
6078  [11,13],
6079  [12,14],
6080  [13,14]
6081  ]
6082  ],
6083  [
6084  "cupolas_pentagonal_gyrobicupola",
6085  "Pentagonal Gyrobicupola",
6086  "J31",
6087  "cupolas",
6088  "Polyhedron Database #75",
6089  [
6090  [ 0.80901699437, 0.00000000000, 0.58778525229],
6091  [ 0.30901699437, 0.00000000000, 0.95105651630],
6092  [ 1.00000000000, 0.00000000000, -0.00000000000],
6093  [-0.30901699437, 0.00000000000, 0.95105651630],
6094  [ 0.30901699438, -0.32491969623, 0.42532540418],
6095  [ 0.50000000000, 0.32491969623, 0.16245984812],
6096  [ 0.00000000000, 0.32491969623, 0.52573111212],
6097  [ 0.50000000000, -0.32491969623, -0.16245984812],
6098  [-0.30901699437, -0.32491969623, 0.42532540418],
6099  [ 0.80901699437, 0.00000000000, -0.58778525229],
6100  [-0.80901699437, 0.00000000000, 0.58778525229],
6101  [ 0.30901699437, 0.32491969623, -0.42532540418],
6102  [-0.50000000000, 0.32491969623, 0.16245984812],
6103  [-0.00000000000, -0.32491969623, -0.52573111212],
6104  [-0.50000000000, -0.32491969623, -0.16245984812],
6105  [-0.30901699438, 0.32491969623, -0.42532540418],
6106  [ 0.30901699437, -0.00000000000, -0.95105651630],
6107  [-1.00000000000, 0.00000000000, 0.00000000000],
6108  [-0.30901699437, -0.00000000000, -0.95105651630],
6109  [-0.80901699437, -0.00000000000, -0.58778525229]
6110  ],
6111  [
6112  [1.00000000000, 0.00000000001, 54.00000000000],
6113  [1.00000000000, 0.00000000002, 18.00000000000],
6114  [1.00000000000, 0.00000000000, 89.99999999999],
6115  [1.00000000000, 179.99999999997, 18.00000000000],
6116  [0.61803398875, -46.43699940041, 46.51292225447],
6117  [0.61803398875, 33.01739809414, 74.75983771732],
6118  [0.61803398875, 89.99999999999, 31.71747441146],
6119  [0.61803398875, -33.01739809415, 105.24016228267],
6120  [0.61803398875, -133.56300059956, 46.51292225447],
6121  [1.00000000000, 0.00000000000, 125.99999999999],
6122  [1.00000000000, 179.99999999999, 54.00000000000],
6123  [0.61803398875, 46.43699940043, 133.48707774552],
6124  [0.61803398875, 146.98260190584, 74.75983771731],
6125  [0.61803398875, -89.99999999999, 148.28252558853],
6126  [0.61803398875, -146.98260190585, 105.24016228267],
6127  [0.61803398875, 133.56300059958, 133.48707774551],
6128  [1.00000000000, -0.00000000002, 161.99999999999],
6129  [1.00000000000, 179.99999999999, 89.99999999999],
6130  [1.00000000000, -179.99999999997, 161.99999999999],
6131  [1.00000000000, -179.99999999998, 125.99999999999]
6132  ],
6133  [
6134  [13,14,8,4,7],
6135  [0,2,7,4],
6136  [1,0,4],
6137  [3,1,4,8],
6138  [10,3,8],
6139  [17,10,8,14],
6140  [19,17,14],
6141  [18,19,14,13],
6142  [16,18,13],
6143  [9,16,13,7],
6144  [2,9,7],
6145  [12,15,11,5,6],
6146  [0,1,6,5],
6147  [2,0,5],
6148  [9,2,5,11],
6149  [16,9,11],
6150  [18,16,11,15],
6151  [19,18,15],
6152  [17,19,15,12],
6153  [10,17,12],
6154  [3,10,12,6],
6155  [1,3,6]
6156  ],
6157  [
6158  [0,1],
6159  [0,2],
6160  [0,4],
6161  [0,5],
6162  [1,3],
6163  [1,4],
6164  [1,6],
6165  [2,5],
6166  [2,7],
6167  [2,9],
6168  [3,6],
6169  [3,8],
6170  [3,10],
6171  [4,7],
6172  [4,8],
6173  [5,6],
6174  [5,11],
6175  [6,12],
6176  [7,9],
6177  [7,13],
6178  [8,10],
6179  [8,14],
6180  [9,11],
6181  [9,16],
6182  [10,12],
6183  [10,17],
6184  [11,15],
6185  [11,16],
6186  [12,15],
6187  [12,17],
6188  [13,14],
6189  [13,16],
6190  [13,18],
6191  [14,17],
6192  [14,19],
6193  [15,18],
6194  [15,19],
6195  [16,18],
6196  [17,19],
6197  [18,19]
6198  ]
6199  ],
6200  [
6201  "cupolas_pentagonal_orthobicupola",
6202  "Pentagonal Orthobicupola",
6203  "J30",
6204  "cupolas",
6205  "Polyhedron Database #74",
6206  [
6207  [ 0.30901699438, 0.00000000000, 0.95105651630],
6208  [-0.30901699437, 0.00000000000, 0.95105651630],
6209  [ 0.80901699437, 0.00000000000, 0.58778525229],
6210  [ 0.00000000000, 0.32491969623, 0.52573111212],
6211  [-0.00000000000, -0.32491969623, 0.52573111212],
6212  [-0.80901699437, 0.00000000000, 0.58778525229],
6213  [ 0.50000000000, 0.32491969623, 0.16245984812],
6214  [ 0.50000000000, -0.32491969623, 0.16245984812],
6215  [ 1.00000000000, 0.00000000000, -0.00000000000],
6216  [-0.50000000000, 0.32491969623, 0.16245984812],
6217  [-0.50000000000, -0.32491969623, 0.16245984812],
6218  [-1.00000000000, 0.00000000000, 0.00000000000],
6219  [ 0.30901699437, 0.32491969623, -0.42532540418],
6220  [ 0.30901699437, -0.32491969623, -0.42532540418],
6221  [ 0.80901699437, -0.00000000000, -0.58778525229],
6222  [-0.30901699438, 0.32491969623, -0.42532540418],
6223  [-0.30901699438, -0.32491969623, -0.42532540418],
6224  [-0.80901699437, -0.00000000000, -0.58778525229],
6225  [ 0.30901699437, -0.00000000000, -0.95105651630],
6226  [-0.30901699438, 0.00000000000, -0.95105651630]
6227  ],
6228  [
6229  [1.00000000000, 0.00000000000, 18.00000000000],
6230  [1.00000000000, 179.99999999999, 17.99999999999],
6231  [1.00000000000, 0.00000000001, 54.00000000000],
6232  [0.61803398875, 89.99999999998, 31.71747441146],
6233  [0.61803398875, -89.99999999999, 31.71747441146],
6234  [1.00000000000, 179.99999999998, 53.99999999999],
6235  [0.61803398875, 33.01739809414, 74.75983771732],
6236  [0.61803398875, -33.01739809414, 74.75983771731],
6237  [1.00000000000, 0.00000000000, 90.00000000000],
6238  [0.61803398875, 146.98260190585, 74.75983771731],
6239  [0.61803398875, -146.98260190585, 74.75983771731],
6240  [1.00000000000, 179.99999999999, 89.99999999999],
6241  [0.61803398875, 46.43699940043, 133.48707774551],
6242  [0.61803398875, -46.43699940043, 133.48707774551],
6243  [1.00000000000, -0.00000000001, 125.99999999999],
6244  [0.61803398875, 133.56300059957, 133.48707774552],
6245  [0.61803398875, -133.56300059957, 133.48707774551],
6246  [1.00000000000, -179.99999999998, 125.99999999999],
6247  [1.00000000000, -0.00000000002, 162.00000000000],
6248  [1.00000000000, 179.99999999999, 161.99999999999]
6249  ],
6250  [
6251  [13,16,10,4,7],
6252  [0,2,7,4],
6253  [1,0,4],
6254  [5,1,4,10],
6255  [11,5,10],
6256  [17,11,10,16],
6257  [19,17,16],
6258  [18,19,16,13],
6259  [14,18,13],
6260  [8,14,13,7],
6261  [2,8,7],
6262  [9,15,12,6,3],
6263  [2,0,3,6],
6264  [8,2,6],
6265  [14,8,6,12],
6266  [18,14,12],
6267  [19,18,12,15],
6268  [17,19,15],
6269  [11,17,15,9],
6270  [5,11,9],
6271  [1,5,9,3],
6272  [0,1,3]
6273  ],
6274  [
6275  [0,1],
6276  [0,2],
6277  [0,3],
6278  [0,4],
6279  [1,3],
6280  [1,4],
6281  [1,5],
6282  [2,6],
6283  [2,7],
6284  [2,8],
6285  [3,6],
6286  [3,9],
6287  [4,7],
6288  [4,10],
6289  [5,9],
6290  [5,10],
6291  [5,11],
6292  [6,8],
6293  [6,12],
6294  [7,8],
6295  [7,13],
6296  [8,14],
6297  [9,11],
6298  [9,15],
6299  [10,11],
6300  [10,16],
6301  [11,17],
6302  [12,14],
6303  [12,15],
6304  [12,18],
6305  [13,14],
6306  [13,16],
6307  [13,18],
6308  [14,18],
6309  [15,17],
6310  [15,19],
6311  [16,17],
6312  [16,19],
6313  [17,19],
6314  [18,19]
6315  ]
6316  ],
6317  [
6318  "cupolas_square_cupola",
6319  "Square Cupola",
6320  "J4",
6321  "cupolas",
6322  "Polyhedron Database #48",
6323  [
6324  [-0.90920355930, -0.17753303803, -0.37660444522],
6325  [-0.90920355930, -0.17753303803, 0.37660444522],
6326  [-0.37660444522, 0.35506607605, -0.37660444522],
6327  [-0.37660444522, 0.35506607605, 0.37660444522],
6328  [-0.37660444522, -0.17753303803, -0.90920355930],
6329  [-0.37660444522, -0.17753303803, 0.90920355930],
6330  [ 0.37660444522, 0.35506607605, -0.37660444522],
6331  [ 0.37660444522, 0.35506607605, 0.37660444522],
6332  [ 0.37660444522, -0.17753303803, -0.90920355930],
6333  [ 0.37660444522, -0.17753303803, 0.90920355930],
6334  [ 0.90920355930, -0.17753303803, -0.37660444522],
6335  [ 0.90920355930, -0.17753303803, 0.37660444522]
6336  ],
6337  [
6338  [1.00000000000, -168.95132206550, 112.12351211134],
6339  [1.00000000000, -168.95132206551, 67.87648788864],
6340  [0.64010447170, 136.68614334171, 126.03989343030],
6341  [0.64010447170, 136.68614334171, 53.96010656970],
6342  [1.00000000000, -154.76059817930, 155.39552032235],
6343  [1.00000000000, -154.76059817931, 24.60447967764],
6344  [0.64010447170, 43.31385665828, 126.03989343029],
6345  [0.64010447170, 43.31385665828, 53.96010656970],
6346  [1.00000000000, -25.23940182068, 155.39552032235],
6347  [1.00000000000, -25.23940182066, 24.60447967763],
6348  [1.00000000000, -11.04867793448, 112.12351211135],
6349  [1.00000000000, -11.04867793448, 67.87648788864]
6350  ],
6351  [
6352  [0,1,5,9,11,10,8,4],
6353  [6,7,3,2],
6354  [1,0,2,3],
6355  [5,1,3],
6356  [9,5,3,7],
6357  [11,9,7],
6358  [10,11,7,6],
6359  [8,10,6],
6360  [4,8,6,2],
6361  [0,4,2]
6362  ],
6363  [
6364  [0,1],
6365  [0,2],
6366  [0,4],
6367  [1,3],
6368  [1,5],
6369  [2,3],
6370  [2,4],
6371  [2,6],
6372  [3,5],
6373  [3,7],
6374  [4,8],
6375  [5,9],
6376  [6,7],
6377  [6,8],
6378  [6,10],
6379  [7,9],
6380  [7,11],
6381  [8,10],
6382  [9,11],
6383  [10,11]
6384  ]
6385  ],
6386  [
6387  "cupolas_square_gyrobicupola",
6388  "Square Gyrobicupola",
6389  "J29",
6390  "cupolas",
6391  "Polyhedron Database #73",
6392  [
6393  [ 0.38268343237, 0.00000000000, 0.92387953251],
6394  [-0.38268343237, -0.00000000000, 0.92387953251],
6395  [ 0.92387953251, 0.00000000000, 0.38268343237],
6396  [ 0.38268343237, 0.54119610015, 0.38268343237],
6397  [ 0.00000000000, -0.54119610015, 0.54119610015],
6398  [-0.38268343237, 0.54119610015, 0.38268343237],
6399  [-0.92387953251, -0.00000000000, 0.38268343237],
6400  [ 0.54119610015, -0.54119610015, -0.00000000000],
6401  [ 0.92387953251, 0.00000000000, -0.38268343237],
6402  [ 0.38268343237, 0.54119610015, -0.38268343237],
6403  [-0.54119610015, -0.54119610015, 0.00000000000],
6404  [-0.38268343237, 0.54119610015, -0.38268343237],
6405  [ 0.00000000000, -0.54119610015, -0.54119610015],
6406  [-0.92387953251, -0.00000000000, -0.38268343237],
6407  [ 0.38268343237, 0.00000000000, -0.92387953251],
6408  [-0.38268343237, 0.00000000000, -0.92387953251]
6409  ],
6410  [
6411  [1.00000000000, 0.00000000000, 22.50000000000],
6412  [1.00000000000, -179.99999999997, 22.49999999999],
6413  [1.00000000000, 0.00000000001, 67.50000000000],
6414  [0.76536686473, 54.73561031725, 60.00000000000],
6415  [0.76536686473, -89.99999999998, 45.00000000000],
6416  [0.76536686473, 125.26438968275, 60.00000000000],
6417  [1.00000000000, -179.99999999998, 67.49999999999],
6418  [0.76536686473, -44.99999999999, 89.99999999999],
6419  [1.00000000000, 0.00000000001, 112.50000000000],
6420  [0.76536686473, 54.73561031725, 119.99999999999],
6421  [0.76536686473, -134.99999999999, 89.99999999999],
6422  [0.76536686473, 125.26438968275, 119.99999999999],
6423  [0.76536686473, -89.99999999999, 135.00000000000],
6424  [1.00000000000, -179.99999999998, 112.49999999999],
6425  [1.00000000000, 0.00000000001, 157.50000000000],
6426  [1.00000000000, 179.99999999999, 157.49999999999]
6427  ],
6428  [
6429  [12,10,4,7],
6430  [0,2,7,4],
6431  [1,0,4],
6432  [6,1,4,10],
6433  [13,6,10],
6434  [15,13,10,12],
6435  [14,15,12],
6436  [8,14,12,7],
6437  [2,8,7],
6438  [11,9,3,5],
6439  [0,1,5,3],
6440  [2,0,3],
6441  [8,2,3,9],
6442  [14,8,9],
6443  [15,14,9,11],
6444  [13,15,11],
6445  [6,13,11,5],
6446  [1,6,5]
6447  ],
6448  [
6449  [0,1],
6450  [0,2],
6451  [0,3],
6452  [0,4],
6453  [1,4],
6454  [1,5],
6455  [1,6],
6456  [2,3],
6457  [2,7],
6458  [2,8],
6459  [3,5],
6460  [3,9],
6461  [4,7],
6462  [4,10],
6463  [5,6],
6464  [5,11],
6465  [6,10],
6466  [6,13],
6467  [7,8],
6468  [7,12],
6469  [8,9],
6470  [8,14],
6471  [9,11],
6472  [9,14],
6473  [10,12],
6474  [10,13],
6475  [11,13],
6476  [11,15],
6477  [12,14],
6478  [12,15],
6479  [13,15],
6480  [14,15]
6481  ]
6482  ],
6483  [
6484  "cupolas_square_orthobicupola",
6485  "square orthobicupola",
6486  "J28",
6487  "cupolas",
6488  "Polyhedron Database #72",
6489  [
6490  [ 0.38268343237, 0.00000000000, -0.92387953251],
6491  [-0.38268343237, 0.00000000000, -0.92387953251],
6492  [ 0.92387953251, -0.00000000000, -0.38268343237],
6493  [ 0.38268343237, -0.54119610015, -0.38268343237],
6494  [ 0.38268343237, 0.54119610015, -0.38268343237],
6495  [-0.38268343237, -0.54119610015, -0.38268343237],
6496  [-0.38268343237, 0.54119610015, -0.38268343237],
6497  [-0.92387953251, 0.00000000000, -0.38268343237],
6498  [ 0.92387953251, 0.00000000000, 0.38268343237],
6499  [ 0.38268343237, -0.54119610015, 0.38268343237],
6500  [ 0.38268343237, 0.54119610015, 0.38268343237],
6501  [-0.38268343237, -0.54119610015, 0.38268343237],
6502  [-0.38268343237, 0.54119610015, 0.38268343237],
6503  [-0.92387953251, 0.00000000000, 0.38268343237],
6504  [ 0.38268343237, 0.00000000000, 0.92387953251],
6505  [-0.38268343237, 0.00000000000, 0.92387953251]
6506  ],
6507  [
6508  [1.00000000000, 0.00000000000, 157.49999999999],
6509  [1.00000000000, 179.99999999999, 157.49999999999],
6510  [1.00000000000, -0.00000000001, 112.49999999999],
6511  [0.76536686473, -54.73561031725, 119.99999999999],
6512  [0.76536686473, 54.73561031725, 119.99999999999],
6513  [0.76536686473, -125.26438968274, 119.99999999999],
6514  [0.76536686473, 125.26438968274, 119.99999999999],
6515  [1.00000000000, 179.99999999999, 112.49999999999],
6516  [1.00000000000, 0.00000000000, 67.50000000000],
6517  [0.76536686473, -54.73561031725, 60.00000000000],
6518  [0.76536686473, 54.73561031725, 60.00000000000],
6519  [0.76536686473, -125.26438968274, 59.99999999999],
6520  [0.76536686473, 125.26438968274, 59.99999999999],
6521  [1.00000000000, 179.99999999998, 67.50000000000],
6522  [1.00000000000, 0.00000000000, 22.50000000000],
6523  [1.00000000000, 179.99999999999, 22.50000000000]
6524  ],
6525  [
6526  [11,9,3,5],
6527  [0,1,5,3],
6528  [2,0,3],
6529  [8,2,3,9],
6530  [14,8,9],
6531  [15,14,9,11],
6532  [13,15,11],
6533  [7,13,11,5],
6534  [1,7,5],
6535  [10,12,6,4],
6536  [1,0,4,6],
6537  [7,1,6],
6538  [13,7,6,12],
6539  [15,13,12],
6540  [14,15,12,10],
6541  [8,14,10],
6542  [2,8,10,4],
6543  [0,2,4]
6544  ],
6545  [
6546  [0,1],
6547  [0,2],
6548  [0,3],
6549  [0,4],
6550  [1,5],
6551  [1,6],
6552  [1,7],
6553  [2,3],
6554  [2,4],
6555  [2,8],
6556  [3,5],
6557  [3,9],
6558  [4,6],
6559  [4,10],
6560  [5,7],
6561  [5,11],
6562  [6,7],
6563  [6,12],
6564  [7,13],
6565  [8,9],
6566  [8,10],
6567  [8,14],
6568  [9,11],
6569  [9,14],
6570  [10,12],
6571  [10,14],
6572  [11,13],
6573  [11,15],
6574  [12,13],
6575  [12,15],
6576  [13,15],
6577  [14,15]
6578  ]
6579  ],
6580  [
6581  "cupolas_triangular_cupola",
6582  "Triangular Cupola",
6583  "J3",
6584  "cupolas",
6585  "Polyhedron Database #47",
6586  [
6587  [ 0.48245064068, -0.26261286572, 0.83562902180],
6588  [ 0.96490128135, -0.26261286572, 0.00000000000],
6589  [ 0.48245064068, 0.52522573144, 0.27854300727],
6590  [-0.48245064068, -0.26261286572, 0.83562902180],
6591  [-0.48245064068, 0.52522573144, 0.27854300727],
6592  [ 0.48245064068, -0.26261286572, -0.83562902180],
6593  [ 0.00000000000, 0.52522573144, -0.55708601453],
6594  [-0.96490128135, -0.26261286572, -0.00000000000],
6595  [-0.48245064068, -0.26261286572, -0.83562902180]
6596  ],
6597  [
6598  [1.00000000000, -28.56082521782, 33.31860684000],
6599  [1.00000000000, -15.22515701068, 89.99999999999],
6600  [0.76564149349, 47.43070269790, 68.66603725294],
6601  [1.00000000000, -151.43917478219, 33.31860684000],
6602  [0.76564149349, 132.56929730209, 68.66603725295],
6603  [1.00000000000, -28.56082521781, 146.68139315999],
6604  [0.76564149349, 89.99999999999, 136.68614334171],
6605  [1.00000000000, -164.77484298931, 90.00000000000],
6606  [1.00000000000, -151.43917478217, 146.68139315999]
6607  ],
6608  [
6609  [1,5,8,7,3,0],
6610  [4,6,2],
6611  [5,1,2,6],
6612  [8,5,6],
6613  [7,8,6,4],
6614  [3,7,4],
6615  [0,3,4,2],
6616  [1,0,2]
6617  ],
6618  [
6619  [0,1],
6620  [0,2],
6621  [0,3],
6622  [1,2],
6623  [1,5],
6624  [2,4],
6625  [2,6],
6626  [3,4],
6627  [3,7],
6628  [4,6],
6629  [4,7],
6630  [5,6],
6631  [5,8],
6632  [6,8],
6633  [7,8]
6634  ]
6635  ],
6636  [
6637  "cupolas_triangular_gyrobicupola",
6638  "Triangular Gyrobicupola",
6639  "Cuboctahedron",
6640  "cupolas",
6641  "Exact Mathematics",
6642  [
6643  [ 0.00000000000, -0.81649658093, -0.57735026919],
6644  [-0.50000000000, -0.81649658093, 0.28867513459],
6645  [-1.00000000000, 0.00000000000, -0.00000000000],
6646  [-0.50000000000, 0.00000000000, -0.86602540378],
6647  [ 0.50000000000, -0.81649658093, 0.28867513459],
6648  [-0.50000000000, -0.00000000000, 0.86602540378],
6649  [-0.50000000000, 0.81649658093, -0.28867513459],
6650  [ 0.50000000000, 0.00000000000, -0.86602540378],
6651  [ 1.00000000000, 0.00000000000, -0.00000000000],
6652  [ 0.50000000000, -0.00000000000, 0.86602540378],
6653  [ 0.00000000000, 0.81649658093, 0.57735026919],
6654  [ 0.50000000000, 0.81649658093, -0.28867513459]
6655  ],
6656  [
6657  [1.00000000000, -89.99999999999, 125.26438968275],
6658  [1.00000000000, -121.48215410529, 73.22134511904],
6659  [1.00000000000, 179.99999999999, 89.99999999999],
6660  [1.00000000000, 179.99999999998, 149.99999999999],
6661  [1.00000000000, -58.51784589470, 73.22134511904],
6662  [1.00000000000, -179.99999999998, 30.00000000000],
6663  [1.00000000000, 121.48215410529, 106.77865488095],
6664  [1.00000000000, 0.00000000001, 149.99999999999],
6665  [1.00000000000, 0.00000000000, 89.99999999999],
6666  [1.00000000000, -0.00000000001, 30.00000000000],
6667  [1.00000000000, 89.99999999999, 54.73561031724],
6668  [1.00000000000, 58.51784589470, 106.77865488095]
6669  ],
6670  [
6671  [3,2,1,0],
6672  [0,4,8,7],
6673  [1,5,9,4],
6674  [2,6,10,5],
6675  [3,7,11,6],
6676  [8,9,10,11],
6677  [0,1,4],
6678  [1,2,5],
6679  [2,3,6],
6680  [3,0,7],
6681  [4,9,8],
6682  [5,10,9],
6683  [6,11,10],
6684  [7,8,11]
6685  ],
6686  [
6687  [0,1],
6688  [1,2],
6689  [2,3],
6690  [3,0],
6691  [4,0],
6692  [0,7],
6693  [7,8],
6694  [8,4],
6695  [5,1],
6696  [1,4],
6697  [4,9],
6698  [9,5],
6699  [6,2],
6700  [2,5],
6701  [5,10],
6702  [10,6],
6703  [7,3],
6704  [3,6],
6705  [6,11],
6706  [11,7],
6707  [8,9],
6708  [9,10],
6709  [10,11],
6710  [11,8]
6711  ]
6712  ],
6713  [
6714  "cupolas_triangular_orthobicupola",
6715  "Triangular Orthobicupola",
6716  "J27",
6717  "cupolas",
6718  "Polyhedron Database #71",
6719  [
6720  [-0.50000000000, -0.00000000000, -0.86602540378],
6721  [ 0.50000000000, 0.00000000000, -0.86602540378],
6722  [ 0.00000000000, 0.81649658093, -0.57735026919],
6723  [ 0.00000000000, -0.81649658093, -0.57735026919],
6724  [-1.00000000000, -0.00000000000, -0.00000000000],
6725  [-0.50000000000, 0.81649658093, 0.28867513459],
6726  [-0.50000000000, -0.81649658093, 0.28867513459],
6727  [ 1.00000000000, 0.00000000000, 0.00000000000],
6728  [ 0.50000000000, 0.81649658093, 0.28867513459],
6729  [ 0.50000000000, -0.81649658093, 0.28867513459],
6730  [-0.50000000000, 0.00000000000, 0.86602540378],
6731  [ 0.50000000000, 0.00000000000, 0.86602540378]
6732  ],
6733  [
6734  [1.00000000000, -179.99999999998, 150.00000000000],
6735  [1.00000000000, 0.00000000000, 149.99999999998],
6736  [1.00000000000, 89.99999999999, 125.26438968275],
6737  [1.00000000000, -89.99999999999, 125.26438968275],
6738  [1.00000000000, -179.99999999998, 89.99999999999],
6739  [1.00000000000, 121.48215410529, 73.22134511904],
6740  [1.00000000000, -121.48215410529, 73.22134511904],
6741  [1.00000000000, 0.00000000001, 89.99999999999],
6742  [1.00000000000, 58.51784589470, 73.22134511903],
6743  [1.00000000000, -58.51784589470, 73.22134511903],
6744  [1.00000000000, 179.99999999999, 30.00000000000],
6745  [1.00000000000, 0.00000000001, 29.99999999999]
6746  ],
6747  [
6748  [8,5,2],
6749  [4,0,2,5],
6750  [10,4,5],
6751  [11,10,5,8],
6752  [7,11,8],
6753  [1,7,8,2],
6754  [0,1,2],
6755  [9,3,6],
6756  [0,4,6,3],
6757  [1,0,3],
6758  [7,1,3,9],
6759  [11,7,9],
6760  [10,11,9,6],
6761  [4,10,6]
6762  ],
6763  [
6764  [0,1],
6765  [0,2],
6766  [0,3],
6767  [0,4],
6768  [1,2],
6769  [1,3],
6770  [1,7],
6771  [2,5],
6772  [2,8],
6773  [3,6],
6774  [3,9],
6775  [4,5],
6776  [4,6],
6777  [4,10],
6778  [5,8],
6779  [5,10],
6780  [6,9],
6781  [6,10],
6782  [7,8],
6783  [7,9],
6784  [7,11],
6785  [8,11],
6786  [9,11],
6787  [10,11]
6788  ]
6789  ],
6790  [
6791  "dipyramids_decagonal_bi_pyramid",
6792  "Decagonal Bi-Pyramid",
6793  empty_str,
6794  "dipyramids",
6795  "George W. Hart, 1997. george@li.net",
6796  [
6797  [ 0.09592986243, 0.00000000000, 0.31043557716],
6798  [-0.10486056224, 0.00000000000, 0.30753382347],
6799  [-0.00000000000, -1.00000000000, -0.00000000000],
6800  [ 0.26007835274, 0.00000000000, 0.19476148707],
6801  [-0.00000000000, 1.00000000000, -0.00000000000],
6802  [-0.26559780113, 0.00000000000, 0.18716458288],
6803  [ 0.32488563406, 0.00000000000, 0.00469514267],
6804  [-0.32488563406, -0.00000000000, -0.00469514267],
6805  [ 0.26559780113, -0.00000000000, -0.18716458288],
6806  [-0.26007835274, -0.00000000000, -0.19476148707],
6807  [ 0.10486056224, -0.00000000000, -0.30753382347],
6808  [-0.09592986243, -0.00000000000, -0.31043557716]
6809  ],
6810  [
6811  [0.32491966095, 0.00000000000, 17.17203674418],
6812  [0.32491966714, 179.99999999999, 18.82796235856],
6813  [1.00000000000, -89.99999999999, 89.99999999999],
6814  [0.32491966147, 0.00000000000, 53.17203948142],
6815  [1.00000000000, 89.99999999999, 89.99999999999],
6816  [0.32491964091, 179.99999999999, 54.82796225358],
6817  [0.32491955863, 0.00000000000, 89.17203746329],
6818  [0.32491955863, -179.99999999999, 90.82796253670],
6819  [0.32491964091, -0.00000000000, 125.17203774641],
6820  [0.32491966147, -179.99999999999, 126.82796051856],
6821  [0.32491966714, -0.00000000000, 161.17203764143],
6822  [0.32491966095, -179.99999999999, 162.82796325581]
6823  ],
6824  [
6825  [1,0,2],
6826  [0,3,2],
6827  [1,4,0],
6828  [2,5,1],
6829  [4,3,0],
6830  [6,2,3],
6831  [5,4,1],
6832  [7,5,2],
6833  [4,6,3],
6834  [6,8,2],
6835  [5,7,4],
6836  [2,9,7],
6837  [8,6,4],
6838  [10,2,8],
6839  [9,4,7],
6840  [11,9,2],
6841  [4,10,8],
6842  [10,11,2],
6843  [9,11,4],
6844  [11,10,4]
6845  ],
6846  [
6847  [0,1],
6848  [0,2],
6849  [0,3],
6850  [0,4],
6851  [1,2],
6852  [1,4],
6853  [1,5],
6854  [2,3],
6855  [2,5],
6856  [2,6],
6857  [2,7],
6858  [2,8],
6859  [2,9],
6860  [2,10],
6861  [2,11],
6862  [3,4],
6863  [3,6],
6864  [4,5],
6865  [4,6],
6866  [4,7],
6867  [4,8],
6868  [4,9],
6869  [4,10],
6870  [4,11],
6871  [5,7],
6872  [6,8],
6873  [7,9],
6874  [8,10],
6875  [9,11],
6876  [10,11]
6877  ]
6878  ],
6879  [
6880  "dipyramids_hexagonal_bi_pyramid",
6881  "Hexagonal Bi-Pyramid",
6882  empty_str,
6883  "dipyramids",
6884  "George W. Hart, 1997. george@li.net",
6885  [
6886  [-0.28867510881, 0.00000003609, 0.49999997158],
6887  [-0.57735022075, -0.00000000361, -0.00000000000],
6888  [ 0.00000000000, -1.00000000000, 0.00000000000],
6889  [ 0.28867512444, -0.00000000361, 0.49999994993],
6890  [ 0.00000000000, 1.00000000000, 0.00000000000],
6891  [-0.28867512444, 0.00000000361, -0.49999994993],
6892  [ 0.57735022075, 0.00000000361, 0.00000000000],
6893  [ 0.28867510881, -0.00000003609, -0.49999997158]
6894  ],
6895  [
6896  [0.57735023169, 179.99999283787, 29.99999919429],
6897  [0.57735022075, -179.99999964192, 89.99999999999],
6898  [1.00000000000, -89.99999999999, 89.99999999999],
6899  [0.57735022075, -0.00000071611, 30.00000161142],
6900  [1.00000000000, 89.99999999999, 89.99999999999],
6901  [0.57735022075, 179.99999928388, 149.99999838857],
6902  [0.57735022075, 0.00000035806, 89.99999999999],
6903  [0.57735023169, -0.00000716211, 150.00000080570]
6904  ],
6905  [
6906  [1,0,2],
6907  [0,3,2],
6908  [1,4,0],
6909  [2,5,1],
6910  [4,3,0],
6911  [6,2,3],
6912  [5,4,1],
6913  [7,5,2],
6914  [4,6,3],
6915  [6,7,2],
6916  [5,7,4],
6917  [7,6,4]
6918  ],
6919  [
6920  [0,1],
6921  [0,2],
6922  [0,3],
6923  [0,4],
6924  [1,2],
6925  [1,4],
6926  [1,5],
6927  [2,3],
6928  [2,5],
6929  [2,6],
6930  [2,7],
6931  [3,4],
6932  [3,6],
6933  [4,5],
6934  [4,6],
6935  [4,7],
6936  [5,7],
6937  [6,7]
6938  ]
6939  ],
6940  [
6941  "dipyramids_octagonal_di_pyramid",
6942  "Octagonal Di-Pyramid",
6943  empty_str,
6944  "dipyramids",
6945  "George W. Hart, 1997. george@li.net",
6946  [
6947  [ 0.14804268343, 0.00000005300, 0.38685420990],
6948  [-0.16886526074, 0.00000001992, 0.37822922144],
6949  [-0.00000000000, -1.00000000000, -0.00000000000],
6950  [ 0.37822922540, 0.00000001750, 0.16886525092],
6951  [ 0.00000000000, 1.00000000000, 0.00000000000],
6952  [-0.38685424213, -0.00000000493, 0.14804270850],
6953  [ 0.38685424213, 0.00000000493, -0.14804270850],
6954  [-0.37822922540, -0.00000001750, -0.16886525092],
6955  [ 0.16886526074, -0.00000001992, -0.37822922144],
6956  [-0.14804268343, -0.00000005300, -0.38685420990]
6957  ],
6958  [
6959  [0.41421349065, 0.00002051089, 20.94101873648],
6960  [0.41421349596, 179.99999324038, 24.05898259437],
6961  [1.00000000000, -89.99999999999, 89.99999999999],
6962  [0.41421349557, 0.00000265101, 65.94101886917],
6963  [1.00000000000, 89.99999999999, 89.99999999999],
6964  [0.41421352971, -179.99999927041, 69.05897961852],
6965  [0.41421352971, 0.00000072957, 110.94102038147],
6966  [0.41421349557, -179.99999734898, 114.05898113082],
6967  [0.41421349596, -0.00000675961, 155.94101740562],
6968  [0.41421349065, -179.99997948910, 159.05898126351]
6969  ],
6970  [
6971  [1,0,2],
6972  [0,3,2],
6973  [1,4,0],
6974  [2,5,1],
6975  [4,3,0],
6976  [6,2,3],
6977  [5,4,1],
6978  [7,5,2],
6979  [4,6,3],
6980  [6,8,2],
6981  [5,7,4],
6982  [2,9,7],
6983  [8,6,4],
6984  [9,2,8],
6985  [9,4,7],
6986  [4,9,8]
6987  ],
6988  [
6989  [0,1],
6990  [0,2],
6991  [0,3],
6992  [0,4],
6993  [1,2],
6994  [1,4],
6995  [1,5],
6996  [2,3],
6997  [2,5],
6998  [2,6],
6999  [2,7],
7000  [2,8],
7001  [2,9],
7002  [3,4],
7003  [3,6],
7004  [4,5],
7005  [4,6],
7006  [4,7],
7007  [4,8],
7008  [4,9],
7009  [5,7],
7010  [6,8],
7011  [7,9],
7012  [8,9]
7013  ]
7014  ],
7015  [
7016  "dipyramids_pentagonal_di_pyramid",
7017  "Pentagonal Di-Pyramid",
7018  empty_str,
7019  "dipyramids",
7020  "George W. Hart, 1997. george@li.net",
7021  [
7022  [ 0.00000000000, 0.00000001425, -0.72654252016],
7023  [ 0.69098295556, 0.00000000091, -0.22451392694],
7024  [-0.00000009880, -1.00000000000, -0.00000008837],
7025  [-0.69098274808, 0.00000008787, -0.22451399518],
7026  [ 0.00000000000, 0.99999995655, 0.00000000000],
7027  [ 0.42705100182, -0.00000004706, 0.58778529964],
7028  [-0.42705111050, -0.00000001253, 0.58778523101]
7029  ],
7030  [
7031  [0.72654252016, 89.99999999999, 179.99999887622],
7032  [0.72654246143, 0.00000007552, 107.99999661865],
7033  [1.00000000000, -90.00000566107, 90.00000506351],
7034  [0.72654228519, 179.99999271350, 108.00000679313],
7035  [0.99999995655, 89.99999999999, 89.99999999999],
7036  [0.72654257730, -0.00000631324, 35.99999899818],
7037  [0.72654258566, -179.99999831890, 36.00000911322]
7038  ],
7039  [
7040  [1,0,2],
7041  [0,3,2],
7042  [1,4,0],
7043  [2,5,1],
7044  [4,3,0],
7045  [6,2,3],
7046  [5,4,1],
7047  [6,5,2],
7048  [4,6,3],
7049  [5,6,4]
7050  ],
7051  [
7052  [0,1],
7053  [0,2],
7054  [0,3],
7055  [0,4],
7056  [1,2],
7057  [1,4],
7058  [1,5],
7059  [2,3],
7060  [2,5],
7061  [2,6],
7062  [3,4],
7063  [3,6],
7064  [4,5],
7065  [4,6],
7066  [5,6]
7067  ]
7068  ],
7069  [
7070  "dipyramids_square_di_pyramid",
7071  "Square Di-Pyramid",
7072  "Octahedron",
7073  "dipyramids",
7074  "Exact Mathematics",
7075  [
7076  [ 0.00000000000, 1.00000000000, 0.00000000000],
7077  [-0.70710678119, 0.00000000000, 0.70710678119],
7078  [-0.70710678119, 0.00000000000, -0.70710678119],
7079  [ 0.70710678119, 0.00000000000, -0.70710678119],
7080  [ 0.70710678119, 0.00000000000, 0.70710678119],
7081  [ 0.00000000000, -1.00000000000, 0.00000000000]
7082  ],
7083  [
7084  [1.00000000000, 89.99999999999, 89.99999999999],
7085  [1.00000000000, 179.99999999999, 45.00000000000],
7086  [1.00000000000, 179.99999999999, 134.99999999999],
7087  [1.00000000000, 0.00000000000, 134.99999999999],
7088  [1.00000000000, 0.00000000000, 45.00000000000],
7089  [1.00000000000, -89.99999999999, 89.99999999999]
7090  ],
7091  [
7092  [0,1,2],
7093  [0,2,3],
7094  [0,3,4],
7095  [0,4,1],
7096  [5,2,1],
7097  [5,3,2],
7098  [5,4,3],
7099  [5,1,4]
7100  ],
7101  [
7102  [0,1],
7103  [0,2],
7104  [0,3],
7105  [0,4],
7106  [1,2],
7107  [1,4],
7108  [1,5],
7109  [2,3],
7110  [2,5],
7111  [3,4],
7112  [3,5],
7113  [4,5]
7114  ]
7115  ],
7116  [
7117  "dipyramids_triangular_di_pyramid",
7118  "Triangular Di-Pyramid",
7119  empty_str,
7120  "dipyramids",
7121  "George W. Hart, 1997. george@li.net",
7122  [
7123  [-0.00000000000, 0.00000000000, -1.00000000000],
7124  [ 0.86602529650, 0.00000016113, 0.49999996108],
7125  [ 0.00000012570, -0.57735024545, 0.00000005844],
7126  [-0.86602535292, -0.00000013763, 0.50000000631],
7127  [-0.00000006928, 0.57735022194, -0.00000002583]
7128  ],
7129  [
7130  [1.00000000000, 179.99999999999, 179.99999999999],
7131  [0.99999988763, 0.00001066053, 59.99999885779],
7132  [0.57735024545, -89.99998752578, 89.99999420016],
7133  [0.99999995911, -179.99999089475, 59.99999823004],
7134  [0.57735022194, 90.00000687480, 90.00000256309]
7135  ],
7136  [
7137  [1,0,2],
7138  [0,3,2],
7139  [1,4,0],
7140  [2,3,1],
7141  [4,3,0],
7142  [3,4,1]
7143  ],
7144  [
7145  [0,1],
7146  [0,2],
7147  [0,3],
7148  [0,4],
7149  [1,2],
7150  [1,3],
7151  [1,4],
7152  [2,3],
7153  [3,4]
7154  ]
7155  ],
7156  [
7157  "johnson_augmented_dodecahedron",
7158  "Augmented Dodecahedron",
7159  "J58",
7160  "johnson",
7161  "Polyhedron Database #102",
7162  [
7163  [ 0.27773636804, 0.69088866138, -0.42699267518],
7164  [ 0.47567343901, 0.14601464965, -0.69942968105],
7165  [ 0.85065080835, 0.44721359550, -0.27639320225],
7166  [-0.36280144887, 0.69088866138, -0.42699267518],
7167  [-0.04253254042, -0.19073600920, -0.86780501047],
7168  [ 0.47567343901, 0.69088866138, 0.18219498953],
7169  [-0.56073851984, 0.14601464965, -0.69942968105],
7170  [ 0.79594234746, -0.19073600920, -0.25861734576],
7171  [ 0.79594234746, 0.14601464965, 0.28625666598],
7172  [-0.56073851984, 0.69088866138, 0.18219498953],
7173  [-0.04253254042, 0.69088866138, 0.55869367185],
7174  [-0.04253254042, -0.73561002093, -0.53105435163],
7175  [ 0.47567343901, -0.73561002093, -0.15455566931],
7176  [-0.88100742830, -0.19073600920, -0.25861734576],
7177  [-0.88100742830, 0.14601464965, 0.28625666598],
7178  [ 0.47567343901, -0.19073600920, 0.72706900127],
7179  [-0.56073851984, -0.73561002093, -0.15455566931],
7180  [-0.04253254042, 0.14601464965, 0.89544433069],
7181  [ 0.27773636804, -0.73561002093, 0.45463199540],
7182  [-0.56073851984, -0.19073600920, 0.72706900127],
7183  [-0.36280144888, -0.73561002093, 0.45463199540]
7184  ],
7185  [
7186  [0.85836319656, 68.09993525174, 119.83142881234],
7187  [0.85836319656, 17.06460429813, 144.57166127999],
7188  [1.00000000000, 27.73230144769, 106.04505713531],
7189  [0.88953627154, 117.70499212965, 118.68652279556],
7190  [0.88953627154, -102.57081209745, 167.30927604114],
7191  [0.85836319656, 55.45278028813, 77.74525379095],
7192  [0.90826749599, 165.40447769496, 140.36018810267],
7193  [0.85836319656, -13.47598249654, 107.53517687421],
7194  [0.85836319656, 10.39525699122, 70.51917868900],
7195  [0.90826749599, 129.06344822202, 78.42817586420],
7196  [0.88953627154, 93.52280129087, 51.09190891299],
7197  [0.90826749599, -93.30912412291, 125.78104858240],
7198  [0.88953627154, -57.11175340200, 100.00584177064],
7199  [0.93778315481, -167.78412914715, 106.00821689124],
7200  [0.93778315481, 170.58956755276, 72.22690021815],
7201  [0.88953627154, -21.84984732462, 35.17887830685],
7202  [0.93778315481, -127.31743617720, 99.48617409343],
7203  [0.90826749599, 106.24028907744, 9.63919240680],
7204  [0.90826749599, -69.31550702301, 59.96370032475],
7205  [0.93778315481, -161.21418990362, 39.16720701454],
7206  [0.93778315481, -116.25242657785, 61.00099891251]
7207  ],
7208  [
7209  [12,11,16,20,18],
7210  [13,16,11,4,6],
7211  [4,11,12,7,1],
7212  [7,12,18,15,8],
7213  [15,18,20,19,17],
7214  [19,20,16,13,14],
7215  [14,9,10,17,19],
7216  [17,10,5,8,15],
7217  [1,0,3,6,4],
7218  [6,3,9,14,13],
7219  [0,5,10,9,3],
7220  [5,0,2],
7221  [8,5,2],
7222  [0,1,2],
7223  [1,7,2],
7224  [8,2,7]
7225  ],
7226  [
7227  [0,1],
7228  [0,2],
7229  [0,3],
7230  [0,5],
7231  [1,2],
7232  [1,4],
7233  [1,7],
7234  [2,5],
7235  [2,7],
7236  [2,8],
7237  [3,6],
7238  [3,9],
7239  [4,6],
7240  [4,11],
7241  [5,8],
7242  [5,10],
7243  [6,13],
7244  [7,8],
7245  [7,12],
7246  [8,15],
7247  [9,10],
7248  [9,14],
7249  [10,17],
7250  [11,12],
7251  [11,16],
7252  [12,18],
7253  [13,14],
7254  [13,16],
7255  [14,19],
7256  [15,17],
7257  [15,18],
7258  [16,20],
7259  [17,19],
7260  [18,20],
7261  [19,20]
7262  ]
7263  ],
7264  [
7265  "johnson_augmented_hexagonal_prism",
7266  "Augmented Hexagonal Prism",
7267  "J54",
7268  "johnson",
7269  "Polyhedron Database #98",
7270  [
7271  [-0.76081614824, -0.34432368230, 0.04166666667],
7272  [-0.41649246594, -0.34432368230, -0.55471944532],
7273  [-0.76081614824, 0.34432368230, 0.04166666667],
7274  [-0.41649246594, -0.34432368230, 0.63805277865],
7275  [-0.41649246594, 0.34432368230, -0.55471944532],
7276  [ 0.27215489865, -0.34432368230, -0.55471944532],
7277  [-0.41649246594, 0.34432368230, 0.63805277865],
7278  [ 0.27215489865, -0.34432368230, 0.63805277865],
7279  [ 0.27215489865, 0.34432368230, -0.55471944532],
7280  [ 0.61647858094, -0.34432368230, 0.04166666667],
7281  [ 0.86602540378, 0.00000000000, -0.50000000000],
7282  [ 0.27215489865, 0.34432368230, 0.63805277865],
7283  [ 0.61647858094, 0.34432368230, 0.04166666667]
7284  ],
7285  [
7286  [0.83614360054, -155.64984928691, 87.14365655167],
7287  [0.77442781161, -140.41869582976, 135.74950155013],
7288  [0.83614360054, 155.64984928692, 87.14365655166],
7289  [0.83614360054, -140.41869582976, 40.26263642377],
7290  [0.77442781161, 140.41869582977, 135.74950155013],
7291  [0.70734768683, -51.67700624032, 141.64901851704],
7292  [0.83614360054, 140.41869582978, 40.26263642377],
7293  [0.77442781161, -51.67700624032, 34.52265131214],
7294  [0.70734768683, 51.67700624031, 141.64901851704],
7295  [0.70734768683, -29.18480325296, 86.62300879256],
7296  [1.00000000000, 0.00000000000, 119.99999999999],
7297  [0.77442781161, 51.67700624031, 34.52265131213],
7298  [0.70734768683, 29.18480325297, 86.62300879256]
7299  ],
7300  [
7301  [3,7,9,5,1,0],
7302  [6,2,4,8,12,11],
7303  [4,2,0,1],
7304  [8,4,1,5],
7305  [11,12,9,7],
7306  [6,11,7,3],
7307  [2,6,3,0],
7308  [9,10,5],
7309  [10,8,5],
7310  [12,10,9],
7311  [8,10,12]
7312  ],
7313  [
7314  [0,1],
7315  [0,2],
7316  [0,3],
7317  [1,4],
7318  [1,5],
7319  [2,4],
7320  [2,6],
7321  [3,6],
7322  [3,7],
7323  [4,8],
7324  [5,8],
7325  [5,9],
7326  [5,10],
7327  [6,11],
7328  [7,9],
7329  [7,11],
7330  [8,10],
7331  [8,12],
7332  [9,10],
7333  [9,12],
7334  [10,12],
7335  [11,12]
7336  ]
7337  ],
7338  [
7339  "johnson_augmented_pentagonal_prism",
7340  "Augmented Pentagonal Prism",
7341  "J52",
7342  "johnson",
7343  "Polyhedron Database #96",
7344  [
7345  [-0.73290407084, -0.39418110105, 0.23813496807],
7346  [-0.48928675267, -0.39418110105, -0.51164204143],
7347  [-0.09510565163, -0.39418110105, 0.70152264392],
7348  [ 0.29907544942, -0.39418110105, -0.51164204143],
7349  [ 0.54269276758, -0.39418110105, 0.23813496807],
7350  [-0.73290407084, 0.39418110105, 0.23813496807],
7351  [-0.48928675267, 0.39418110105, -0.51164204143],
7352  [-0.09510565163, 0.39418110105, 0.70152264392],
7353  [ 0.95105651630, 0.00000000000, -0.30901699437],
7354  [ 0.29907544942, 0.39418110105, -0.51164204143],
7355  [ 0.54269276758, 0.39418110105, 0.23813496807]
7356  ],
7357  [
7358  [0.86558383794, -151.72710252576, 74.03114138961],
7359  [0.81028257128, -141.14425100408, 129.15618921159],
7360  [0.81028257128, -103.56473270009, 30.02864629380],
7361  [0.71176010244, -52.81146402183, 135.95883895948],
7362  [0.71176010244, -35.99251743913, 70.45348921848],
7363  [0.86558383794, 151.72710252578, 74.03114138960],
7364  [0.81028257128, 141.14425100410, 129.15618921159],
7365  [0.81028257128, 103.56473270011, 30.02864629380],
7366  [1.00000000000, 0.00000000001, 107.99999999999],
7367  [0.71176010244, 52.81146402184, 135.95883895948],
7368  [0.71176010244, 35.99251743914, 70.45348921849]
7369  ],
7370  [
7371  [2,4,3,1,0],
7372  [5,6,9,10,7],
7373  [6,5,0,1],
7374  [9,6,1,3],
7375  [7,10,4,2],
7376  [5,7,2,0],
7377  [4,8,3],
7378  [8,9,3],
7379  [10,8,4],
7380  [9,8,10]
7381  ],
7382  [
7383  [0,1],
7384  [0,2],
7385  [0,5],
7386  [1,3],
7387  [1,6],
7388  [2,4],
7389  [2,7],
7390  [3,4],
7391  [3,8],
7392  [3,9],
7393  [4,8],
7394  [4,10],
7395  [5,6],
7396  [5,7],
7397  [6,9],
7398  [7,10],
7399  [8,9],
7400  [8,10],
7401  [9,10]
7402  ]
7403  ],
7404  [
7405  "johnson_augmented_sphenocorona",
7406  "Augmented Sphenocorona",
7407  "J87",
7408  "johnson",
7409  "Polyhedron Database #131",
7410  [
7411  [-0.93889108552, -0.34421436568, 0.00000000000],
7412  [-0.20334578174, -0.45080219293, -0.42910203723],
7413  [-0.59321618873, 0.31373367521, -0.42910412877],
7414  [ 0.22575776842, 0.24969022637, -0.67749213070],
7415  [ 0.65485935422, -0.45080219293, -0.42910230038],
7416  [-0.20334619338, -0.45080177957, 0.42910284551],
7417  [-0.59321723274, 0.31373532865, 0.42910243456],
7418  [ 0.65485915337, -0.45080219293, 0.42910304636],
7419  [ 0.01948424333, 0.73443056504, -0.00000065668],
7420  [ 0.75129860035, 0.28614150457, 0.00000025149],
7421  [ 0.22575736241, 0.24969142419, 0.67749267583]
7422  ],
7423  [
7424  [1.00000000000, -159.86615488841, 89.99999999999],
7425  [0.65475238255, -114.27896474679, 130.94736002540],
7426  [0.79653287368, 152.12702286609, 122.59619941938],
7427  [0.75650999088, 47.88164526254, 153.57909651454],
7428  [0.90343354772, -34.54334676781, 118.35728635715],
7429  [0.65475275551, -114.27902791099, 49.05257464813],
7430  [0.79653338976, 152.12693974662, 57.40396896886],
7431  [0.90343375645, -34.54335497541, 61.64266702645],
7432  [0.73468897542, 88.48031500256, 90.00005121225],
7433  [0.80394436843, 20.84996351053, 89.99998207655],
7434  [0.75651075326, 47.88183325842, 26.42092690931]
7435  ],
7436  [
7437  [1,0,5],
7438  [7,4,1,5],
7439  [8,3,9],
7440  [10,6,8],
7441  [2,3,8],
7442  [6,2,8],
7443  [10,5,6],
7444  [7,5,10],
7445  [2,1,3],
7446  [4,3,1],
7447  [10,9,7],
7448  [9,4,7],
7449  [3,4,9],
7450  [8,9,10],
7451  [5,0,6],
7452  [0,2,6],
7453  [1,2,0]
7454  ],
7455  [
7456  [0,1],
7457  [0,2],
7458  [0,5],
7459  [0,6],
7460  [1,2],
7461  [1,3],
7462  [1,4],
7463  [1,5],
7464  [2,3],
7465  [2,6],
7466  [2,8],
7467  [3,4],
7468  [3,8],
7469  [3,9],
7470  [4,7],
7471  [4,9],
7472  [5,6],
7473  [5,7],
7474  [5,10],
7475  [6,8],
7476  [6,10],
7477  [7,9],
7478  [7,10],
7479  [8,9],
7480  [8,10],
7481  [9,10]
7482  ]
7483  ],
7484  [
7485  "johnson_augmented_triangular_prism",
7486  "Augmented Triangular Prism",
7487  "J49",
7488  "johnson",
7489  "Polyhedron Database #93",
7490  [
7491  [ 0.43001398570, 0.57060707521, 0.41061160655],
7492  [-0.71120016472, 0.57060707521, 0.41061160655],
7493  [ 0.43001398570, -0.57060707521, 0.41061160655],
7494  [ 0.84355853704, 0.00000000000, -0.48702874844],
7495  [-0.14059308951, 0.57060707521, -0.57770883887],
7496  [-0.71120016472, -0.57060707521, 0.41061160655],
7497  [-0.14059308951, -0.57060707521, -0.57770883887]
7498  ],
7499  [
7500  [0.82407909427, 52.99803303787, 60.11457316328],
7501  [1.00000000000, 141.25937990129, 65.75673924112],
7502  [0.82407909427, -52.99803303787, 60.11457316328],
7503  [0.97405749687, 0.00000000000, 119.99999999999],
7504  [0.82407909427, 103.84152264315, 134.51015501195],
7505  [1.00000000000, -141.25937990129, 65.75673924112],
7506  [0.82407909427, -103.84152264315, 134.51015501194]
7507  ],
7508  [
7509  [5,1,0,2],
7510  [6,4,1,5],
7511  [2,3,6],
7512  [2,0,3],
7513  [4,3,0],
7514  [6,5,2],
7515  [4,0,1],
7516  [3,4,6]
7517  ],
7518  [
7519  [0,1],
7520  [0,2],
7521  [0,3],
7522  [0,4],
7523  [1,4],
7524  [1,5],
7525  [2,3],
7526  [2,5],
7527  [2,6],
7528  [3,4],
7529  [3,6],
7530  [4,6],
7531  [5,6]
7532  ]
7533  ],
7534  [
7535  "johnson_augmented_tridiminished_icosahedron",
7536  "Augmented Tridiminished Icosahedron",
7537  "J64",
7538  "johnson",
7539  "George W. Hart, Jan 1996. george@li.net",
7540  [
7541  [-0.73091453612, -0.39599533022, -0.17606739267],
7542  [ 0.05841648846, -0.39599413782, -0.74954949000],
7543  [-0.42941716067, -0.39599533022, 0.75184733858],
7544  [-0.42941691445, 0.43395652800, -0.59104248537],
7545  [ 0.84774736630, -0.39599441163, -0.17606658565],
7546  [ 0.54624869633, -0.39599533022, 0.75184733858],
7547  [ 0.05841488181, 0.43395592793, 0.91035365059],
7548  [ 0.05841547154, 0.94689494300, 0.08040251034],
7549  [ 0.84774631800, 0.43395652800, 0.33687224588],
7550  [-0.82723798991, -0.26878605428, -1.13859728183]
7551  ],
7552  [
7553  [0.84973412750, -151.55202367670, 101.95848639001],
7554  [0.84973424155, -81.60833172960, 151.89657685252],
7555  [0.95209548889, -137.31870046990, 37.84471910510],
7556  [0.84973429619, 134.69874183379, 134.07198063021],
7557  [0.95209590572, -25.03792269813, 100.65677509345],
7558  [1.01018530989, -35.93970722840, 41.90384299537],
7559  [1.01018503995, 82.33348912051, 25.68703258673],
7560  [0.95209608973, 86.46980516921, 85.15572258294],
7561  [1.01018562548, 27.10764897684, 70.52013410055],
7562  [1.43281973923, -161.99999136161, 142.62267586606]
7563  ],
7564  [
7565  [8,5,6],
7566  [8,4,5],
7567  [6,7,8],
7568  [5,2,6],
7569  [0,1,9],
7570  [3,0,9],
7571  [1,3,9],
7572  [7,3,1,4,8],
7573  [2,0,3,7,6],
7574  [0,2,5,4,1]
7575  ],
7576  [
7577  [0,1],
7578  [0,2],
7579  [0,3],
7580  [0,9],
7581  [1,3],
7582  [1,4],
7583  [1,9],
7584  [2,5],
7585  [2,6],
7586  [3,7],
7587  [3,9],
7588  [4,5],
7589  [4,8],
7590  [5,6],
7591  [5,8],
7592  [6,7],
7593  [6,8],
7594  [7,8]
7595  ]
7596  ],
7597  [
7598  "johnson_augmented_truncated_cube",
7599  "Augmented Truncated Cube",
7600  "J66",
7601  "johnson",
7602  "Polyhedron Database #110",
7603  [
7604  [-0.74979229800, 0.25321139622, 0.61130638691],
7605  [-0.74979229800, -0.25321139623, 0.61130638691],
7606  [-0.74979229800, 0.61130638691, 0.25321139623],
7607  [-0.74979229800, -0.61130638691, 0.25321139622],
7608  [-0.74979229800, 0.61130638691, -0.25321139622],
7609  [-0.74979229800, -0.61130638691, -0.25321139622],
7610  [-0.74979229800, 0.25321139623, -0.61130638691],
7611  [-0.74979229800, -0.25321139622, -0.61130638691],
7612  [-0.39169730731, 0.61130638691, 0.61130638691],
7613  [-0.39169730731, -0.61130638691, 0.61130638691],
7614  [-0.39169730731, 0.61130638691, -0.61130638691],
7615  [-0.39169730731, -0.61130638691, -0.61130638691],
7616  [ 0.11472548514, 0.61130638691, 0.61130638691],
7617  [ 0.11472548514, -0.61130638691, 0.61130638691],
7618  [ 0.11472548514, 0.61130638691, -0.61130638691],
7619  [ 0.11472548514, -0.61130638691, -0.61130638691],
7620  [ 0.47282047583, 0.25321139622, 0.61130638691],
7621  [ 0.47282047583, -0.25321139623, 0.61130638691],
7622  [ 0.47282047583, 0.61130638691, 0.25321139623],
7623  [ 0.47282047583, -0.61130638691, 0.25321139622],
7624  [ 0.47282047583, 0.61130638691, -0.25321139622],
7625  [ 0.47282047583, -0.61130638691, -0.25321139623],
7626  [ 0.47282047583, 0.25321139623, -0.61130638691],
7627  [ 0.47282047583, -0.25321139622, -0.61130638691],
7628  [ 0.83091546652, 0.00000000000, 0.35809499069],
7629  [ 0.83091546652, 0.35809499069, -0.00000000000],
7630  [ 0.83091546652, -0.35809499069, -0.00000000000],
7631  [ 0.83091546652, 0.00000000000, -0.35809499069]
7632  ],
7633  [
7634  [1.00000000000, 161.33972610333, 52.31597669768],
7635  [1.00000000000, -161.33972610331, 52.31597669769],
7636  [1.00000000000, 140.80960571745, 75.33237221050],
7637  [1.00000000000, -140.80960571744, 75.33237221051],
7638  [1.00000000000, 140.80960571745, 104.66762778946],
7639  [1.00000000000, -140.80960571745, 104.66762778948],
7640  [1.00000000000, 161.33972610332, 127.68402330229],
7641  [1.00000000000, -161.33972610333, 127.68402330229],
7642  [0.94911420699, 122.64989987378, 49.90319627792],
7643  [0.94911420699, -122.64989987377, 49.90319627793],
7644  [0.94911420699, 122.64989987378, 130.09680372205],
7645  [0.94911420699, -122.64989987379, 130.09680372206],
7646  [0.87209686062, 79.37078926845, 45.49579789248],
7647  [0.87209686062, -79.37078926845, 45.49579789250],
7648  [0.87209686062, 79.37078926846, 134.50420210749],
7649  [0.87209686062, -79.37078926847, 134.50420210751],
7650  [0.81324701796, 28.17055914015, 41.26336495107],
7651  [0.81324701796, -28.17055914017, 41.26336495108],
7652  [0.81324701796, 52.27951543544, 71.85887908857],
7653  [0.81324701796, -52.27951543543, 71.85887908859],
7654  [0.81324701796, 52.27951543544, 108.14112091140],
7655  [0.81324701796, -52.27951543543, 108.14112091143],
7656  [0.81324701796, 28.17055914018, 138.73663504892],
7657  [0.81324701796, -28.17055914016, 138.73663504893],
7658  [0.90479419475, 0.00000000000, 66.68567769914],
7659  [0.90479419475, 23.31432230086, 89.99999999999],
7660  [0.90479419475, -23.31432230085, 90.00000000000],
7661  [0.90479419475, 0.00000000001, 113.31432230086]
7662  ],
7663  [
7664  [27,26,24,25],
7665  [16,18,25,24],
7666  [17,16,24],
7667  [19,17,24,26],
7668  [21,19,26],
7669  [23,21,26,27],
7670  [22,23,27],
7671  [20,22,27,25],
7672  [18,20,25],
7673  [22,14,10,6,7,11,15,23],
7674  [18,12,8,2,4,10,14,20],
7675  [17,13,9,1,0,8,12,16],
7676  [21,15,11,5,3,9,13,19],
7677  [2,0,1,3,5,7,6,4],
7678  [23,15,21],
7679  [11,7,5],
7680  [19,13,17],
7681  [9,3,1],
7682  [16,12,18],
7683  [8,0,2],
7684  [20,14,22],
7685  [10,4,6]
7686  ],
7687  [
7688  [0,1],
7689  [0,2],
7690  [0,8],
7691  [1,3],
7692  [1,9],
7693  [2,4],
7694  [2,8],
7695  [3,5],
7696  [3,9],
7697  [4,6],
7698  [4,10],
7699  [5,7],
7700  [5,11],
7701  [6,7],
7702  [6,10],
7703  [7,11],
7704  [8,12],
7705  [9,13],
7706  [10,14],
7707  [11,15],
7708  [12,16],
7709  [12,18],
7710  [13,17],
7711  [13,19],
7712  [14,20],
7713  [14,22],
7714  [15,21],
7715  [15,23],
7716  [16,17],
7717  [16,18],
7718  [16,24],
7719  [17,19],
7720  [17,24],
7721  [18,20],
7722  [18,25],
7723  [19,21],
7724  [19,26],
7725  [20,22],
7726  [20,25],
7727  [21,23],
7728  [21,26],
7729  [22,23],
7730  [22,27],
7731  [23,27],
7732  [24,25],
7733  [24,26],
7734  [25,27],
7735  [26,27]
7736  ]
7737  ],
7738  [
7739  "johnson_augmented_truncated_dodecahedron",
7740  "Augmented Truncated Dodecahedron",
7741  "J68",
7742  "johnson",
7743  "Polyhedron Database #112",
7744  [
7745  [-0.03851423300, -0.38441940297, 0.92235479967],
7746  [-0.03851423300, -0.65306162919, 0.75632477305],
7747  [-0.19641817172, -0.11577717675, 0.97366089947],
7748  [-0.19641817172, -0.81909165581, 0.53898864663],
7749  [ 0.11938970571, -0.11577717675, 0.97366089947],
7750  [ 0.11938970571, -0.81909165581, 0.53898864663],
7751  [-0.45191211152, 0.05025284987, 0.89064588616],
7752  [-0.45191211152, -0.81909165581, 0.35336143372],
7753  [ 0.37488364551, 0.05025284987, 0.89064588616],
7754  [ 0.37488364551, -0.81909165581, 0.35336143372],
7755  [-0.70740605132, 0.05025284987, 0.70501867325],
7756  [-0.70740605132, -0.65306162919, 0.27034642041],
7757  [-0.86530999004, -0.11577717675, 0.48768254683],
7758  [-0.86530999004, -0.38441940297, 0.32165252021],
7759  [ 0.63037758531, 0.05025284987, 0.70501867325],
7760  [-0.54950211261, 0.31889507609, 0.75632477305],
7761  [ 0.63037758531, -0.65306162919, 0.27034642041],
7762  [-0.54950211261, -0.81909165581, 0.05301029399],
7763  [ 0.47247364660, 0.31889507609, 0.75632477305],
7764  [ 0.47247364660, -0.81909165581, 0.05301029399],
7765  [ 0.78828152403, -0.11577717675, 0.48768254683],
7766  [ 0.78828152403, -0.38441940297, 0.32165252021],
7767  [-0.96289999112, -0.11577717675, 0.18733140710],
7768  [-0.45191211152, 0.58753730232, 0.62200365994],
7769  [-0.45191211152, -0.81909165581, -0.24734084574],
7770  [ 0.37488364551, 0.58753730232, 0.62200365994],
7771  [ 0.37488364551, -0.81909165581, -0.24734084574],
7772  [ 0.88587152512, -0.11577717675, 0.18733140710],
7773  [-0.19641817172, 0.75356732894, 0.53898864663],
7774  [ 0.11938970571, 0.75356732894, 0.53898864663],
7775  [-0.19641817172, -0.81909165581, -0.43296805866],
7776  [ 0.11938970571, -0.81909165581, -0.43296805866],
7777  [-0.96289999112, 0.05025284987, -0.08131081912],
7778  [-0.45191211152, 0.75356732894, 0.35336143372],
7779  [-0.45191211152, -0.65306162919, -0.51598307196],
7780  [ 0.37488364551, 0.75356732894, 0.35336143372],
7781  [ 0.37488364551, -0.65306162919, -0.51598307196],
7782  [ 0.88587152512, 0.05025284987, -0.08131081912],
7783  [-0.86530999004, 0.31889507609, -0.21563193223],
7784  [-0.86530999004, 0.05025284987, -0.38166195885],
7785  [-0.54950211261, 0.75356732894, 0.05301029399],
7786  [-0.54950211261, -0.38441940297, -0.65030418508],
7787  [ 0.47247364660, 0.75356732894, 0.05301029399],
7788  [-0.70740605132, 0.58753730232, -0.16432583243],
7789  [ 0.47247364660, -0.38441940297, -0.65030418508],
7790  [-0.70740605132, -0.11577717675, -0.59899808527],
7791  [ 0.78828152403, 0.31889507609, -0.21563193223],
7792  [ 0.78828152403, 0.05025284987, -0.38166195885],
7793  [ 0.63037758531, 0.58753730232, -0.16432583243],
7794  [ 0.63037758531, -0.11577717675, -0.59899808527],
7795  [-0.45191211152, 0.75356732894, -0.24734084574],
7796  [-0.45191211152, -0.11577717675, -0.78462529819],
7797  [ 0.37488364551, 0.75356732894, -0.24734084574],
7798  [ 0.37488364551, -0.11577717675, -0.78462529819],
7799  [ 0.64704794768, 0.46739684642, -0.45591284402],
7800  [ 0.64704794768, 0.19875462020, -0.62194287064],
7801  [-0.19641817172, 0.75356732894, -0.43296805866],
7802  [-0.19641817172, 0.05025284987, -0.86764031150],
7803  [ 0.11938970571, 0.75356732894, -0.43296805866],
7804  [ 0.11938970571, 0.05025284987, -0.86764031150],
7805  [ 0.39155400788, 0.63342687304, -0.53892785733],
7806  [ 0.39155400788, 0.19875462020, -0.80757008355],
7807  [-0.03851423300, 0.58753730232, -0.65030418508],
7808  [-0.03851423300, 0.31889507609, -0.81633421169],
7809  [ 0.23365006916, 0.46739684642, -0.75626398375]
7810  ],
7811  [
7812  [1.00000000000, -95.72126112155, 22.72719775062],
7813  [1.00000000000, -93.37510259055, 40.85873946672],
7814  [1.00000000000, -149.48310428469, 13.17941036547],
7815  [1.00000000000, -103.48489724682, 57.38518185222],
7816  [0.98776201772, -44.11991696242, 9.69295648908],
7817  [0.98776201772, -81.70704420209, 56.92977806848],
7818  [1.00000000000, 173.65474951771, 27.04547882984],
7819  [1.00000000000, -118.88655355039, 69.30694618686],
7820  [0.96763277700, 7.63493884668, 23.00981515016],
7821  [0.96763277700, -65.40727491295, 68.58125692566],
7822  [1.00000000000, 175.93663715162, 45.16894734660],
7823  [1.00000000000, -137.28748653415, 74.31511808259],
7824  [1.00000000000, -172.37917180792, 60.81162441972],
7825  [1.00000000000, -156.04651405073, 71.23710822170],
7826  [0.94707580405, 4.55790322760, 41.89101133951],
7827  [0.98776201772, 149.87192453544, 40.03110782121],
7828  [0.94707580405, -46.01256425046, 73.41402160486],
7829  [0.98776201772, -123.85638297522, 86.92362540718],
7830  [0.94707580405, 34.01729757595, 37.00438214972],
7831  [0.94707580405, -60.02251906212, 86.79132940792],
7832  [0.93414473304, -8.35545752341, 58.52925410078],
7833  [0.93414473304, -25.99699449319, 69.85919847897],
7834  [0.98776201772, -173.14378370048, 79.06750242256],
7835  [0.96763277700, 127.56616215954, 49.99835355923],
7836  [0.96763277700, -118.88655355038, 104.80999268679],
7837  [0.93414473304, 57.45970936772, 48.25215319837],
7838  [0.93414473304, -65.40727491295, 105.35375377719],
7839  [0.91283392233, -7.44595282122, 78.15764581783],
7840  [0.94707580405, 104.60915509827, 55.31193580409],
7841  [0.93414473304, 80.99730267312, 54.76115199685],
7842  [0.94707580405, -103.48489724681, 117.20419496133],
7843  [0.93414473304, -81.70704420208, 117.61263225760],
7844  [0.96763277700, 177.01249724481, 94.82028624910],
7845  [0.94707580405, 120.95099218291, 68.09258431123],
7846  [0.94707580405, -124.68284654781, 123.01216425217],
7847  [0.91283392233, 63.55063624099, 67.22559417048],
7848  [0.91283392233, -60.14244247728, 124.41993488351],
7849  [0.89101355615, 3.24673907449, 95.23589934712],
7850  [0.94707580405, 159.76950549616, 103.16062846333],
7851  [0.94707580405, 176.67628272662, 113.76522348900],
7852  [0.93414473304, 126.09957137106, 86.74686532933],
7853  [0.93414473304, -145.02422343268, 134.11887101442],
7854  [0.89101355615, 57.91300118555, 86.58920929992],
7855  [0.93414473304, 140.28861536852, 100.13164576895],
7856  [0.89101355615, -39.13288508080, 136.87362683013],
7857  [0.93414473304, -170.70512773844, 129.88331565772],
7858  [0.87725649663, 22.02553079857, 104.22927014705],
7859  [0.87725649663, 3.64766279262, 115.78931112286],
7860  [0.87725649663, 42.98544557657, 100.79630030050],
7861  [0.87725649663, -10.40714319556, 133.06349129256],
7862  [0.91283392233, 120.95099218290, 105.72135909135],
7863  [0.91283392233, -165.63023159008, 149.26595933447],
7864  [0.87725649663, 63.55063624098, 106.37651081871],
7865  [0.87725649663, -17.16251685320, 153.43250038610],
7866  [0.91923195113, 35.84256660625, 119.73383216422],
7867  [0.91923195113, 17.07546012197, 132.57772158490],
7868  [0.89101355615, 104.60915509825, 119.07326263571],
7869  [0.89101355615, 165.64893193935, 166.84748060496],
7870  [0.87725649663, 80.99730267311, 119.57403949439],
7871  [0.87725649663, 22.82692786820, 171.50871814279],
7872  [0.91923195113, 58.27763841734, 125.89350994440],
7873  [0.91923195113, 26.91255956918, 151.46518300649],
7874  [0.87725649663, 93.75048586378, 137.84168437532],
7875  [0.87725649663, 96.88648664222, 158.52127983275],
7876  [0.91923195113, 63.43969099919, 145.35729477421]
7877  ],
7878  [
7879  [30,24,17,7,3,5,9,19,26,31],
7880  [24,30,34],
7881  [57,51,41,34,30,31,36,44,53,59],
7882  [41,51,45],
7883  [31,26,36],
7884  [47,49,44,36,26,19,16,21,27,37],
7885  [44,49,53],
7886  [19,9,16],
7887  [14,20,21,16,9,5,1,0,4,8],
7888  [21,20,27],
7889  [5,3,1],
7890  [6,2,0,1,3,7,11,13,12,10],
7891  [0,2,4],
7892  [7,17,11],
7893  [32,22,13,11,17,24,34,41,45,39],
7894  [13,22,12],
7895  [56,58,52,42,35,29,28,33,40,50],
7896  [58,56,62],
7897  [51,57,63,62,56,50,43,38,39,45],
7898  [63,57,59],
7899  [50,40,43],
7900  [22,32,38,43,40,33,23,15,10,12],
7901  [38,32,39],
7902  [33,28,23],
7903  [2,6,15,23,28,29,25,18,8,4],
7904  [15,6,10],
7905  [29,35,25],
7906  [20,14,18,25,35,42,48,46,37,27],
7907  [18,14,8],
7908  [42,52,48],
7909  [37,46,47],
7910  [64,61,55,54,60],
7911  [48,52,60,54],
7912  [46,48,54],
7913  [47,46,54,55],
7914  [49,47,55],
7915  [53,49,55,61],
7916  [59,53,61],
7917  [63,59,61,64],
7918  [63,64,62],
7919  [58,62,64,60],
7920  [52,58,60]
7921  ],
7922  [
7923  [0,1],
7924  [0,2],
7925  [0,4],
7926  [1,3],
7927  [1,5],
7928  [2,4],
7929  [2,6],
7930  [3,5],
7931  [3,7],
7932  [4,8],
7933  [5,9],
7934  [6,10],
7935  [6,15],
7936  [7,11],
7937  [7,17],
7938  [8,14],
7939  [8,18],
7940  [9,16],
7941  [9,19],
7942  [10,12],
7943  [10,15],
7944  [11,13],
7945  [11,17],
7946  [12,13],
7947  [12,22],
7948  [13,22],
7949  [14,18],
7950  [14,20],
7951  [15,23],
7952  [16,19],
7953  [16,21],
7954  [17,24],
7955  [18,25],
7956  [19,26],
7957  [20,21],
7958  [20,27],
7959  [21,27],
7960  [22,32],
7961  [23,28],
7962  [23,33],
7963  [24,30],
7964  [24,34],
7965  [25,29],
7966  [25,35],
7967  [26,31],
7968  [26,36],
7969  [27,37],
7970  [28,29],
7971  [28,33],
7972  [29,35],
7973  [30,31],
7974  [30,34],
7975  [31,36],
7976  [32,38],
7977  [32,39],
7978  [33,40],
7979  [34,41],
7980  [35,42],
7981  [36,44],
7982  [37,46],
7983  [37,47],
7984  [38,39],
7985  [38,43],
7986  [39,45],
7987  [40,43],
7988  [40,50],
7989  [41,45],
7990  [41,51],
7991  [42,48],
7992  [42,52],
7993  [43,50],
7994  [44,49],
7995  [44,53],
7996  [45,51],
7997  [46,47],
7998  [46,48],
7999  [46,54],
8000  [47,49],
8001  [47,55],
8002  [48,52],
8003  [48,54],
8004  [49,53],
8005  [49,55],
8006  [50,56],
8007  [51,57],
8008  [52,58],
8009  [52,60],
8010  [53,59],
8011  [53,61],
8012  [54,55],
8013  [54,60],
8014  [55,61],
8015  [56,58],
8016  [56,62],
8017  [57,59],
8018  [57,63],
8019  [58,60],
8020  [58,62],
8021  [59,61],
8022  [59,63],
8023  [60,64],
8024  [61,64],
8025  [62,63],
8026  [62,64],
8027  [63,64]
8028  ]
8029  ],
8030  [
8031  "johnson_augmented_truncated_tetrahedron",
8032  "Augmented Truncated Tetrahedron",
8033  "J65",
8034  "johnson",
8035  "Polyhedron Database #109",
8036  [
8037  [ 0.86350605182, -0.49544035708, 0.09431940974],
8038  [ 0.86350605182, 0.07622159340, 0.49854545146],
8039  [ 0.51343603081, -0.49544035708, -0.51201965285],
8040  [ 0.51343603081, 0.64788354387, 0.29643243060],
8041  [ 0.16336600980, 0.07622159340, -0.71413267372],
8042  [ 0.51343603081, -0.49544035708, 0.70065847233],
8043  [ 0.16336600980, 0.64788354387, -0.30990663199],
8044  [-0.18670401120, -0.49544035708, -0.51201965285],
8045  [-0.42008402521, 0.45732956038, -0.64676166676],
8046  [-0.18670401120, 0.64788354387, 0.29643243060],
8047  [-0.18670401120, -0.49544035708, 0.70065847233],
8048  [-0.53677403221, -0.49544035708, 0.09431940974],
8049  [-0.77015404622, -0.11433239009, -0.44464864590],
8050  [-0.53677403221, 0.07622159340, 0.49854545146],
8051  [-0.77015404622, 0.45732956038, -0.04042260417]
8052  ],
8053  [
8054  [1.00000000000, -29.84523633110, 84.58785102731],
8055  [1.00000000000, 5.04441855310, 60.09618558877],
8056  [0.87820375202, -43.97810392352, 125.66398182365],
8057  [0.87820375202, 51.60380975674, 70.27268664848],
8058  [0.73653490082, 25.01232048431, 165.83248980473],
8059  [1.00000000000, -43.97810392352, 45.52014277060],
8060  [0.73653490082, 75.84769483407, 114.88276802804],
8061  [0.73653490082, -110.64864556054, 134.04105621432],
8062  [0.89661673452, 132.56929730208, 136.16486933020],
8063  [0.73653490082, 106.07567286245, 66.26738432360],
8064  [0.87820375202, -110.64864556054, 37.07649367132],
8065  [0.73653490082, -137.29310940924, 82.64259653599],
8066  [0.89661673452, -171.55588834533, 119.73032226169],
8067  [0.73653490082, 171.91806526131, 47.39971717089],
8068  [0.89661673452, 149.29749457184, 92.58396906195]
8069  ],
8070  [
8071  [7,4,8,12],
8072  [11,7,12],
8073  [10,5,0,2,7,11],
8074  [11,13,10],
8075  [11,12,14,13],
8076  [9,13,14],
8077  [9,3,1,5,10,13],
8078  [6,3,9],
8079  [5,1,0],
8080  [6,4,2,0,1,3],
8081  [7,2,4],
8082  [8,6,9,14],
8083  [8,4,6],
8084  [12,8,14]
8085  ],
8086  [
8087  [0,1],
8088  [0,2],
8089  [0,5],
8090  [1,3],
8091  [1,5],
8092  [2,4],
8093  [2,7],
8094  [3,6],
8095  [3,9],
8096  [4,6],
8097  [4,7],
8098  [4,8],
8099  [5,10],
8100  [6,8],
8101  [6,9],
8102  [7,11],
8103  [7,12],
8104  [8,12],
8105  [8,14],
8106  [9,13],
8107  [9,14],
8108  [10,11],
8109  [10,13],
8110  [11,12],
8111  [11,13],
8112  [12,14],
8113  [13,14]
8114  ]
8115  ],
8116  [
8117  "johnson_biaugmented_pentagonal_prism",
8118  "Biaugmented Pentagonal Prism",
8119  "J53",
8120  "johnson",
8121  "Polyhedron Database #97",
8122  [
8123  [-0.36369162410, -0.36369162410, -0.44830751692],
8124  [ 0.36369162410, -0.36369162410, -0.44830751692],
8125  [-0.58846540921, -0.36369162410, 0.24347506112],
8126  [-0.96524266869, 0.00000000000, -0.26135529559],
8127  [ 0.58846540921, -0.36369162410, 0.24347506112],
8128  [-0.00000000000, -0.36369162410, 0.67102020718],
8129  [ 0.96524266869, 0.00000000000, -0.26135529559],
8130  [-0.36369162410, 0.36369162410, -0.44830751692],
8131  [ 0.36369162410, 0.36369162410, -0.44830751692],
8132  [-0.58846540921, 0.36369162410, 0.24347506112],
8133  [ 0.58846540921, 0.36369162410, 0.24347506112],
8134  [-0.00000000000, 0.36369162410, 0.67102020718]
8135  ],
8136  [
8137  [0.68229233075, -134.99999999999, 131.07609296051],
8138  [0.68229233075, -44.99999999999, 131.07609296050],
8139  [0.73337796576, -148.28252558853, 70.61031963181],
8140  [1.00000000000, 179.99999999999, 105.15049579085],
8141  [0.73337796576, -31.71747441145, 70.61031963179],
8142  [0.76324289442, -89.99999999999, 28.45760506532],
8143  [1.00000000000, 0.00000000000, 105.15049579083],
8144  [0.68229233075, 134.99999999998, 131.07609296050],
8145  [0.68229233075, 44.99999999999, 131.07609296049],
8146  [0.73337796576, 148.28252558853, 70.61031963181],
8147  [0.73337796576, 31.71747441146, 70.61031963179],
8148  [0.76324289442, 90.00000000001, 28.45760506531]
8149  ],
8150  [
8151  [1,0,2,5,4],
8152  [10,11,9,7,8],
8153  [11,10,4,5],
8154  [9,11,5,2],
8155  [8,7,0,1],
8156  [0,3,2],
8157  [3,9,2],
8158  [7,3,0],
8159  [9,3,7],
8160  [4,6,1],
8161  [6,8,1],
8162  [10,6,4],
8163  [8,6,10]
8164  ],
8165  [
8166  [0,1],
8167  [0,2],
8168  [0,3],
8169  [0,7],
8170  [1,4],
8171  [1,6],
8172  [1,8],
8173  [2,3],
8174  [2,5],
8175  [2,9],
8176  [3,7],
8177  [3,9],
8178  [4,5],
8179  [4,6],
8180  [4,10],
8181  [5,11],
8182  [6,8],
8183  [6,10],
8184  [7,8],
8185  [7,9],
8186  [8,10],
8187  [9,11],
8188  [10,11]
8189  ]
8190  ],
8191  [
8192  "johnson_biaugmented_triangular_prism",
8193  "Biaugmented Triangular Prism",
8194  "J50",
8195  "johnson",
8196  "Polyhedron Database #94",
8197  [
8198  [ 0.53205720493, 0.53205720493, 0.43963660619],
8199  [ 0.91766293548, 0.00000000000, -0.39735970712],
8200  [ 0.53205720493, -0.53205720493, 0.43963660619],
8201  [-0.00000000000, 0.53205720493, -0.48191350527],
8202  [-0.53205720493, 0.53205720493, 0.43963660619],
8203  [ 0.00000000000, -0.53205720493, -0.48191350527],
8204  [-0.53205720493, -0.53205720493, 0.43963660619],
8205  [-0.91766293548, 0.00000000000, -0.39735970712]
8206  ],
8207  [
8208  [0.87146433325, 45.00000000000, 59.70313904049],
8209  [1.00000000000, 0.00000000000, 113.41322444636],
8210  [0.87146433325, -45.00000000000, 59.70313904050],
8211  [0.71786175262, 90.00000000000, 132.16886918696],
8212  [0.87146433325, 135.00000000000, 59.70313904050],
8213  [0.71786175262, -89.99999999998, 132.16886918696],
8214  [0.87146433325, -135.00000000000, 59.70313904050],
8215  [1.00000000000, 179.99999999998, 113.41322444637]
8216  ],
8217  [
8218  [2,6,4,0],
8219  [1,0,3],
8220  [2,0,1],
8221  [5,2,1],
8222  [3,0,4],
8223  [5,6,2],
8224  [7,3,4],
8225  [6,7,4],
8226  [5,7,6],
8227  [5,3,7],
8228  [3,5,1]
8229  ],
8230  [
8231  [0,1],
8232  [0,2],
8233  [0,3],
8234  [0,4],
8235  [1,2],
8236  [1,3],
8237  [1,5],
8238  [2,5],
8239  [2,6],
8240  [3,4],
8241  [3,5],
8242  [3,7],
8243  [4,6],
8244  [4,7],
8245  [5,6],
8246  [5,7],
8247  [6,7]
8248  ]
8249  ],
8250  [
8251  "johnson_biaugmented_truncated_cube",
8252  "Biaugmented Truncated Cube",
8253  "J67",
8254  "johnson",
8255  "Polyhedron Database #111",
8256  [
8257  [-0.59153329257, -0.24502111238, 0.59153329257],
8258  [-0.24502111238, -0.59153329257, 0.59153329257],
8259  [-0.59153329257, 0.24502111238, 0.59153329257],
8260  [-0.93804547277, -0.00000000000, 0.34651218019],
8261  [ 0.24502111238, -0.59153329257, 0.59153329257],
8262  [-0.24502111238, 0.59153329257, 0.59153329257],
8263  [-0.59153329257, -0.59153329257, 0.24502111238],
8264  [ 0.59153329257, -0.24502111238, 0.59153329257],
8265  [ 0.24502111238, 0.59153329257, 0.59153329257],
8266  [-0.93804547277, -0.34651218019, 0.00000000000],
8267  [ 0.59153329257, 0.24502111238, 0.59153329257],
8268  [-0.59153329257, 0.59153329257, 0.24502111238],
8269  [-0.93804547277, 0.34651218019, 0.00000000000],
8270  [ 0.59153329257, -0.59153329257, 0.24502111238],
8271  [-0.59153329257, -0.59153329257, -0.24502111238],
8272  [ 0.93804547277, 0.00000000000, 0.34651218019],
8273  [-0.93804547277, 0.00000000000, -0.34651218019],
8274  [ 0.59153329257, 0.59153329257, 0.24502111238],
8275  [-0.59153329257, 0.59153329257, -0.24502111238],
8276  [ 0.93804547277, -0.34651218019, -0.00000000000],
8277  [ 0.59153329257, -0.59153329257, -0.24502111238],
8278  [-0.59153329257, -0.24502111238, -0.59153329257],
8279  [ 0.93804547277, 0.34651218019, -0.00000000000],
8280  [-0.24502111238, -0.59153329257, -0.59153329257],
8281  [-0.59153329257, 0.24502111238, -0.59153329257],
8282  [ 0.59153329257, 0.59153329257, -0.24502111238],
8283  [ 0.24502111238, -0.59153329257, -0.59153329257],
8284  [-0.24502111238, 0.59153329257, -0.59153329257],
8285  [ 0.93804547277, 0.00000000000, -0.34651218019],
8286  [ 0.59153329257, -0.24502111238, -0.59153329257],
8287  [ 0.24502111238, 0.59153329257, -0.59153329257],
8288  [ 0.59153329257, 0.24502111238, -0.59153329257]
8289  ],
8290  [
8291  [0.87169869677, -157.49999999998, 47.26579039909],
8292  [0.87169869677, -112.49999999999, 47.26579039910],
8293  [0.87169869677, 157.49999999999, 47.26579039909],
8294  [1.00000000000, -179.99999999998, 69.72586777264],
8295  [0.87169869677, -67.49999999998, 47.26579039910],
8296  [0.87169869677, 112.49999999999, 47.26579039909],
8297  [0.87169869677, -134.99999999999, 73.67505006310],
8298  [0.87169869677, -22.50000000000, 47.26579039911],
8299  [0.87169869677, 67.49999999999, 47.26579039909],
8300  [1.00000000000, -159.72586777263, 89.99999999999],
8301  [0.87169869677, 22.49999999999, 47.26579039910],
8302  [0.87169869677, 135.00000000000, 73.67505006309],
8303  [1.00000000000, 159.72586777264, 89.99999999998],
8304  [0.87169869677, -44.99999999999, 73.67505006310],
8305  [0.87169869677, -134.99999999999, 106.32494993689],
8306  [1.00000000000, 0.00000000000, 69.72586777265],
8307  [1.00000000000, 179.99999999999, 110.27413222734],
8308  [0.87169869677, 45.00000000000, 73.67505006310],
8309  [0.87169869677, 135.00000000000, 106.32494993688],
8310  [1.00000000000, -20.27413222735, 90.00000000001],
8311  [0.87169869677, -44.99999999999, 106.32494993690],
8312  [0.87169869677, -157.50000000000, 132.73420960089],
8313  [1.00000000000, 20.27413222736, 90.00000000000],
8314  [0.87169869677, -112.50000000000, 132.73420960089],
8315  [0.87169869677, 157.49999999999, 132.73420960088],
8316  [0.87169869677, 45.00000000000, 106.32494993689],
8317  [0.87169869677, -67.50000000000, 132.73420960090],
8318  [0.87169869677, 112.50000000001, 132.73420960089],
8319  [1.00000000000, 0.00000000001, 110.27413222735],
8320  [0.87169869677, -22.50000000000, 132.73420960090],
8321  [0.87169869677, 67.50000000000, 132.73420960089],
8322  [0.87169869677, 22.50000000001, 132.73420960090]
8323  ],
8324  [
8325  [19,15,22,28],
8326  [25,31,28,22],
8327  [17,25,22],
8328  [10,17,22,15],
8329  [7,10,15],
8330  [13,7,15,19],
8331  [20,13,19],
8332  [29,20,19,28],
8333  [31,29,28],
8334  [12,3,9,16],
8335  [14,21,16,9],
8336  [6,14,9],
8337  [0,6,9,3],
8338  [2,0,3],
8339  [11,2,3,12],
8340  [18,11,12],
8341  [24,18,12,16],
8342  [21,24,16],
8343  [20,26,23,14,6,1,4,13],
8344  [31,30,27,24,21,23,26,29],
8345  [17,8,5,11,18,27,30,25],
8346  [7,4,1,0,2,5,8,10],
8347  [13,4,7],
8348  [1,6,0],
8349  [10,8,17],
8350  [5,2,11],
8351  [25,30,31],
8352  [27,18,24],
8353  [29,26,20],
8354  [23,21,14]
8355  ],
8356  [
8357  [0,1],
8358  [0,2],
8359  [0,3],
8360  [0,6],
8361  [1,4],
8362  [1,6],
8363  [2,3],
8364  [2,5],
8365  [2,11],
8366  [3,9],
8367  [3,12],
8368  [4,7],
8369  [4,13],
8370  [5,8],
8371  [5,11],
8372  [6,9],
8373  [6,14],
8374  [7,10],
8375  [7,13],
8376  [7,15],
8377  [8,10],
8378  [8,17],
8379  [9,14],
8380  [9,16],
8381  [10,15],
8382  [10,17],
8383  [11,12],
8384  [11,18],
8385  [12,16],
8386  [12,18],
8387  [13,19],
8388  [13,20],
8389  [14,21],
8390  [14,23],
8391  [15,19],
8392  [15,22],
8393  [16,21],
8394  [16,24],
8395  [17,22],
8396  [17,25],
8397  [18,24],
8398  [18,27],
8399  [19,20],
8400  [19,28],
8401  [20,26],
8402  [20,29],
8403  [21,23],
8404  [21,24],
8405  [22,25],
8406  [22,28],
8407  [23,26],
8408  [24,27],
8409  [25,30],
8410  [25,31],
8411  [26,29],
8412  [27,30],
8413  [28,29],
8414  [28,31],
8415  [29,31],
8416  [30,31]
8417  ]
8418  ],
8419  [
8420  "johnson_bigyrate_diminished_rhombicosidodecahedron",
8421  "Bigyrate Diminished Rhombicosidodecahedron",
8422  "J79",
8423  "johnson",
8424  "Polyhedron Database #123",
8425  [
8426  [-0.55321297349, -0.72966120124, -0.40193275229],
8427  [-0.21130855286, -0.72966120124, -0.65034085439],
8428  [-0.68380884127, -0.72966120124, -0.00000000000],
8429  [ 0.21130855286, -0.72966120124, -0.65034085439],
8430  [-0.76452152635, -0.37016161864, -0.47059106309],
8431  [-0.21130855286, -0.37016161865, -0.87252381538],
8432  [-0.55321297349, -0.14797865766, -0.76143233488],
8433  [-0.89511739413, -0.37016161864, -0.06865831081],
8434  [ 0.21130855286, -0.37016161865, -0.87252381538],
8435  [-0.55321297349, -0.72966120124, 0.40193275229],
8436  [ 0.55321297349, -0.72966120124, -0.40193275229],
8437  [-0.80061733644, 0.05074782403, -0.48231930274],
8438  [-0.00000000000, -0.01066203605, -0.94118212618],
8439  [-0.21130855286, -0.72966120124, 0.65034085439],
8440  [ 0.68380884127, -0.72966120124, -0.00000000000],
8441  [-0.34190442064, 0.21152092494, -0.83009064569],
8442  [-0.93121320422, 0.05074782403, -0.08038655046],
8443  [-0.89511739413, -0.14797865766, 0.29084127179],
8444  [-0.68380884127, -0.37016161865, 0.58168254359],
8445  [ 0.55321297349, -0.14797865766, -0.76143233488],
8446  [ 0.76452152635, -0.37016161865, -0.47059106309],
8447  [ 0.21130855286, -0.72966120124, 0.65034085439],
8448  [ 0.55321297349, -0.72966120124, 0.40193275229],
8449  [-0.58930878359, 0.41024740662, -0.55097761355],
8450  [ 0.34190442064, 0.21152092494, -0.83009064569],
8451  [-0.34190442064, -0.37016161865, 0.83009064569],
8452  [ 0.89511739413, -0.37016161865, -0.06865831081],
8453  [-0.21130855286, 0.57102050754, -0.65034085439],
8454  [-0.80061733644, 0.41024740662, 0.09936324084],
8455  [ 0.80061733644, 0.05074782403, -0.48231930274],
8456  [-0.76452152635, 0.21152092494, 0.47059106309],
8457  [-0.55321297349, -0.01066203605, 0.76143233488],
8458  [ 0.34190442064, -0.37016161865, 0.83009064569],
8459  [ 0.68380884127, -0.37016161865, 0.58168254359],
8460  [-0.58930878359, 0.63243036761, -0.19147803095],
8461  [ 0.21130855286, 0.57102050754, -0.65034085439],
8462  [ 0.58930878359, 0.41024740662, -0.55097761355],
8463  [-0.00000000000, -0.14797865766, 0.94118212618],
8464  [ 0.89511739413, -0.14797865766, 0.29084127179],
8465  [ 0.93121320422, 0.05074782403, -0.08038655046],
8466  [-0.21130855286, 0.79320346853, -0.29084127179],
8467  [-0.55321297349, 0.57102050754, 0.40193275229],
8468  [-0.21130855286, 0.21152092494, 0.87252381538],
8469  [ 0.55321297349, -0.01066203605, 0.76143233488],
8470  [-0.34190442064, 0.79320346853, 0.11109148049],
8471  [ 0.21130855286, 0.79320346853, -0.29084127179],
8472  [ 0.58930878359, 0.63243036761, -0.19147803095],
8473  [ 0.21130855286, 0.21152092494, 0.87252381538],
8474  [ 0.76452152635, 0.21152092494, 0.47059106309],
8475  [ 0.80061733644, 0.41024740662, 0.09936324084],
8476  [-0.21130855286, 0.57102050754, 0.65034085439],
8477  [ 0.00000000000, 0.79320346853, 0.35949958260],
8478  [ 0.34190442064, 0.79320346853, 0.11109148049],
8479  [ 0.21130855286, 0.57102050754, 0.65034085439],
8480  [ 0.55321297349, 0.57102050754, 0.40193275229]
8481  ],
8482  [
8483  [1.00000000000, -127.16859907795, 113.69905988309],
8484  [1.00000000000, -106.15091992090, 130.56730576487],
8485  [1.00000000000, -133.14200112378, 89.99999999999],
8486  [1.00000000000, -73.84908007912, 130.56730576487],
8487  [0.97106577369, -154.16493060777, 118.98711799517],
8488  [0.97106577369, -119.72009459654, 153.96444613297],
8489  [0.95274418275, -165.02457730650, 143.05369410523],
8490  [0.97106577369, -157.53323421368, 94.05442815564],
8491  [0.97106577369, -60.27990540349, 153.96444613297],
8492  [1.00000000000, -127.16859907795, 66.30094011690],
8493  [1.00000000000, -52.83140092207, 113.69905988310],
8494  [0.93605308122, 176.37310948048, 121.01544898759],
8495  [0.94124251586, -90.00000000053, 179.35096139267],
8496  [1.00000000000, -106.15091992090, 49.43269423512],
8497  [1.00000000000, -46.85799887624, 90.00000000000],
8498  [0.92232869119, 148.25678032568, 154.15732953496],
8499  [0.93605308122, 176.88066834420, 94.92652648964],
8500  [0.95274418275, -170.61290105831, 72.22577748956],
8501  [0.97106577369, -151.57228676923, 53.20064626834],
8502  [0.95274418275, -14.97542269352, 143.05369410524],
8503  [0.97106577369, -25.83506939224, 118.98711799517],
8504  [1.00000000000, -73.84908007912, 49.43269423513],
8505  [1.00000000000, -52.83140092208, 66.30094011690],
8506  [0.90507685181, 145.15628752408, 127.50013851274],
8507  [0.92232869119, 31.74321967428, 154.15732953496],
8508  [0.97106577369, -132.72750132960, 31.25966748281],
8509  [0.97106577369, -22.46676578634, 94.05442815564],
8510  [0.89087538490, 110.30720654251, 136.88656564166],
8511  [0.90507685181, 152.86877004885, 83.69711765839],
8512  [0.93605308122, 3.62689051947, 121.01544898759],
8513  [0.92232869119, 164.53477767259, 59.32147762345],
8514  [0.94124251586, -178.89587902826, 36.00505936904],
8515  [0.97106577369, -47.27249867043, 31.25966748281],
8516  [0.97106577369, -28.42771323080, 53.20064626835],
8517  [0.88539078865, 132.97857048394, 102.48968584521],
8518  [0.89087538490, 69.69279345746, 136.88656564167],
8519  [0.90507685181, 34.84371247589, 127.50013851275],
8520  [0.95274418275, -89.99999999999, 8.93526016571],
8521  [0.95274418275, -9.38709894171, 72.22577748957],
8522  [0.93605308122, 3.11933165575, 94.92652648964],
8523  [0.87086835536, 104.91709431399, 109.50973258054],
8524  [0.89087538490, 134.09252726868, 63.18147713219],
8525  [0.92232869119, 134.97122238702, 18.91492540417],
8526  [0.94124251586, -1.10412097176, 36.00505936904],
8527  [0.87086835536, 113.31809665423, 82.67115026512],
8528  [0.87086835536, 75.08290568597, 109.50973258054],
8529  [0.88539078865, 47.02142951602, 102.48968584521],
8530  [0.92232869119, 45.02877761291, 18.91492540417],
8531  [0.92232869119, 15.46522232737, 59.32147762346],
8532  [0.90507685181, 27.13122995110, 83.69711765840],
8533  [0.89087538490, 110.30720654249, 43.11343435832],
8534  [0.87086835536, 89.99999999997, 65.61878155780],
8535  [0.87086835536, 66.68190334572, 82.67115026512],
8536  [0.89087538490, 69.69279345745, 43.11343435832],
8537  [0.89087538490, 45.90747273126, 63.18147713220]
8538  ],
8539  [
8540  [4,7,2,0],
8541  [16,17,7],
8542  [16,28,30,17],
8543  [7,17,18,9,2],
8544  [28,41,30],
8545  [34,44,41,28],
8546  [17,30,31,18],
8547  [31,25,18],
8548  [31,42,37,25],
8549  [30,41,50,42,31],
8550  [42,47,37],
8551  [50,53,47,42],
8552  [4,11,16,7],
8553  [6,11,4],
8554  [6,15,23,11],
8555  [11,23,34,28,16],
8556  [15,27,23],
8557  [35,45,40,27],
8558  [23,27,40,34],
8559  [40,44,34],
8560  [44,51,50,41],
8561  [40,45,52,51,44],
8562  [51,53,50],
8563  [52,54,53,51],
8564  [5,12,15,6],
8565  [8,12,5],
8566  [8,19,24,12],
8567  [12,24,35,27,15],
8568  [24,36,35],
8569  [19,29,36,24],
8570  [35,36,46,45],
8571  [46,52,45],
8572  [46,49,54,52],
8573  [36,29,39,49,46],
8574  [49,48,54],
8575  [39,38,48,49],
8576  [1,3,8,5],
8577  [0,2,9,13,21,22,14,10,3,1],
8578  [3,10,20,19,8],
8579  [10,14,26,20],
8580  [20,29,19],
8581  [20,26,39,29],
8582  [14,22,33,38,26],
8583  [26,38,39],
8584  [33,43,48,38],
8585  [18,25,13,9],
8586  [21,32,33,22],
8587  [13,25,37,32,21],
8588  [32,43,33],
8589  [37,47,43,32],
8590  [1,5,6,4,0],
8591  [47,53,54,48,43]
8592  ],
8593  [
8594  [0,1],
8595  [0,2],
8596  [0,4],
8597  [1,3],
8598  [1,5],
8599  [2,7],
8600  [2,9],
8601  [3,8],
8602  [3,10],
8603  [4,6],
8604  [4,7],
8605  [4,11],
8606  [5,6],
8607  [5,8],
8608  [5,12],
8609  [6,11],
8610  [6,15],
8611  [7,16],
8612  [7,17],
8613  [8,12],
8614  [8,19],
8615  [9,13],
8616  [9,18],
8617  [10,14],
8618  [10,20],
8619  [11,16],
8620  [11,23],
8621  [12,15],
8622  [12,24],
8623  [13,21],
8624  [13,25],
8625  [14,22],
8626  [14,26],
8627  [15,23],
8628  [15,27],
8629  [16,17],
8630  [16,28],
8631  [17,18],
8632  [17,30],
8633  [18,25],
8634  [18,31],
8635  [19,20],
8636  [19,24],
8637  [19,29],
8638  [20,26],
8639  [20,29],
8640  [21,22],
8641  [21,32],
8642  [22,33],
8643  [23,27],
8644  [23,34],
8645  [24,35],
8646  [24,36],
8647  [25,31],
8648  [25,37],
8649  [26,38],
8650  [26,39],
8651  [27,35],
8652  [27,40],
8653  [28,30],
8654  [28,34],
8655  [28,41],
8656  [29,36],
8657  [29,39],
8658  [30,31],
8659  [30,41],
8660  [31,42],
8661  [32,33],
8662  [32,37],
8663  [32,43],
8664  [33,38],
8665  [33,43],
8666  [34,40],
8667  [34,44],
8668  [35,36],
8669  [35,45],
8670  [36,46],
8671  [37,42],
8672  [37,47],
8673  [38,39],
8674  [38,48],
8675  [39,49],
8676  [40,44],
8677  [40,45],
8678  [41,44],
8679  [41,50],
8680  [42,47],
8681  [42,50],
8682  [43,47],
8683  [43,48],
8684  [44,51],
8685  [45,46],
8686  [45,52],
8687  [46,49],
8688  [46,52],
8689  [47,53],
8690  [48,49],
8691  [48,54],
8692  [49,54],
8693  [50,51],
8694  [50,53],
8695  [51,52],
8696  [51,53],
8697  [52,54],
8698  [53,54]
8699  ]
8700  ],
8701  [
8702  "johnson_bilunabirotunda",
8703  "Bilunabirotunda",
8704  "J91",
8705  "johnson",
8706  "Polyhedron Database #135",
8707  [
8708  [-0.35682086408, 0.57734949231, 0.35682213618],
8709  [-0.93417064306, 0.35682356646, 0.00000116931],
8710  [-0.35681953153, 0.57735068800, -0.35682057578],
8711  [ 0.35682043619, 0.57734996964, 0.35682142985],
8712  [ 0.00000000000, -0.00000066389, 0.57735009037],
8713  [-0.93417273185, -0.35682111354, 0.00000085109],
8714  [ 0.35682176874, 0.57734891250, -0.35682128211],
8715  [-0.35682213060, -0.57735066013, 0.35682255952],
8716  [ 0.93417028120, 0.35682356646, -0.00000151094],
8717  [-0.00000036186, -0.00000066389, -0.57735043200],
8718  [-0.35682291126, -0.57735066013, -0.35682212048],
8719  [ 0.35682254940, -0.57735066013, 0.35682177886],
8720  [ 0.93417236999, -0.35682111354, -0.00000119271],
8721  [ 0.35682176874, -0.57735066013, -0.35682290114]
8722  ],
8723  [
8724  [0.76679567172, 121.71742087282, 62.26765009896],
8725  [0.99999892397, 159.09472843326, 89.99993300336],
8726  [0.76679522580, 121.71727211655, 117.73223569281],
8727  [0.76679550333, 58.28263103836, 62.26770311112],
8728  [0.57735009037, -89.99999999999, 0.00006588373],
8729  [1.00000000000, -159.09490242769, 89.99995123630],
8730  [0.76679525871, 58.28248843089, 117.73229402714],
8731  [0.76679733738, -121.71745999299, 62.26767979378],
8732  [0.99999858593, 20.90527896486, 90.00008657035],
8733  [0.57735043200, -118.59337848677, 179.99992496492],
8734  [0.76679749635, -121.71751605242, 117.73227689872],
8735  [0.76679716899, -58.28250993304, 62.26773908073],
8736  [0.99999966196, -20.90510497038, 90.00006833738],
8737  [0.76679732796, -58.28256599250, 117.73234941542]
8738  ],
8739  [
8740  [10,7,11,13],
8741  [12,13,11],
8742  [4,11,7],
8743  [5,7,10],
8744  [9,10,13],
8745  [8,6,9,13,12],
8746  [4,3,8,12,11],
8747  [1,0,4,7,5],
8748  [9,2,1,5,10],
8749  [6,8,3],
8750  [0,3,4],
8751  [0,1,2],
8752  [6,2,9],
8753  [3,0,2,6]
8754  ],
8755  [
8756  [0,1],
8757  [0,2],
8758  [0,3],
8759  [0,4],
8760  [1,2],
8761  [1,5],
8762  [2,6],
8763  [2,9],
8764  [3,4],
8765  [3,6],
8766  [3,8],
8767  [4,7],
8768  [4,11],
8769  [5,7],
8770  [5,10],
8771  [6,8],
8772  [6,9],
8773  [7,10],
8774  [7,11],
8775  [8,12],
8776  [9,10],
8777  [9,13],
8778  [10,13],
8779  [11,12],
8780  [11,13],
8781  [12,13]
8782  ]
8783  ],
8784  [
8785  "johnson_diminished_rhombicosidodecahedron",
8786  "Diminished Rhombicosidodecahedron",
8787  "J76",
8788  "johnson",
8789  "Polyhedron Database #120",
8790  [
8791  [-0.00000000000, -0.01066203605, -0.94118212618],
8792  [ 0.34190442064, 0.21152092494, -0.83009064569],
8793  [-0.34190442064, 0.21152092494, -0.83009064569],
8794  [ 0.21130855286, -0.37016161865, -0.87252381538],
8795  [ 0.21130855286, 0.57102050754, -0.65034085439],
8796  [-0.21130855286, -0.37016161865, -0.87252381538],
8797  [ 0.55321297349, -0.14797865766, -0.76143233488],
8798  [-0.21130855286, 0.57102050754, -0.65034085439],
8799  [-0.55321297349, -0.14797865766, -0.76143233488],
8800  [ 0.68380884127, 0.21152092494, -0.58168254359],
8801  [-0.68380884127, 0.21152092494, -0.58168254359],
8802  [ 0.55321297349, 0.57102050754, -0.40193275229],
8803  [ 0.21130855286, -0.72966120124, -0.65034085439],
8804  [-0.55321297349, 0.57102050754, -0.40193275229],
8805  [-0.21130855286, -0.72966120124, -0.65034085439],
8806  [ 0.21130855286, 0.79320346853, -0.29084127179],
8807  [-0.21130855286, 0.79320346853, -0.29084127179],
8808  [ 0.76452152635, -0.37016161865, -0.47059106309],
8809  [ 0.89511739413, -0.01066203605, -0.29084127179],
8810  [-0.76452152635, -0.37016161865, -0.47059106309],
8811  [ 0.55321297349, -0.72966120124, -0.40193275229],
8812  [-0.89511739413, -0.01066203605, -0.29084127179],
8813  [-0.55321297349, -0.72966120124, -0.40193275229],
8814  [ 0.68380884127, 0.57102050754, -0.00000000000],
8815  [ 0.34190442064, 0.79320346853, 0.11109148049],
8816  [-0.68380884127, 0.57102050754, -0.00000000000],
8817  [ 0.89511739413, -0.37016161865, -0.06865831081],
8818  [-0.34190442064, 0.79320346853, 0.11109148049],
8819  [ 0.89511739413, 0.21152092494, 0.06865831081],
8820  [-0.89511739413, -0.37016161865, -0.06865831081],
8821  [-0.89511739413, 0.21152092494, 0.06865831081],
8822  [ 0.68380884127, -0.72966120124, 0.00000000000],
8823  [ 0.00000000000, 0.79320346853, 0.35949958260],
8824  [-0.68380884127, -0.72966120124, 0.00000000000],
8825  [ 0.55321297349, 0.57102050754, 0.40193275229],
8826  [ 0.89511739413, -0.14797865766, 0.29084127179],
8827  [-0.55321297349, 0.57102050754, 0.40193275229],
8828  [ 0.76452152635, 0.21152092494, 0.47059106309],
8829  [-0.89511739413, -0.14797865766, 0.29084127179],
8830  [-0.76452152635, 0.21152092494, 0.47059106309],
8831  [ 0.21130855286, 0.57102050754, 0.65034085439],
8832  [ 0.55321297349, -0.72966120124, 0.40193275229],
8833  [-0.21130855286, 0.57102050754, 0.65034085439],
8834  [-0.55321297349, -0.72966120124, 0.40193275229],
8835  [ 0.68380884127, -0.37016161865, 0.58168254359],
8836  [-0.68380884127, -0.37016161864, 0.58168254359],
8837  [ 0.55321297349, -0.01066203605, 0.76143233488],
8838  [ 0.21130855286, -0.72966120124, 0.65034085439],
8839  [-0.55321297349, -0.01066203605, 0.76143233488],
8840  [ 0.21130855286, 0.21152092494, 0.87252381538],
8841  [-0.21130855286, -0.72966120124, 0.65034085439],
8842  [-0.21130855286, 0.21152092494, 0.87252381538],
8843  [ 0.34190442064, -0.37016161865, 0.83009064569],
8844  [-0.34190442064, -0.37016161865, 0.83009064569],
8845  [-0.00000000000, -0.14797865766, 0.94118212618]
8846  ],
8847  [
8848  [0.94124251586, -89.99999999999, 179.35096139266],
8849  [0.92232869119, 31.74321967425, 154.15732953497],
8850  [0.92232869119, 148.25678032569, 154.15732953498],
8851  [0.97106577369, -60.27990540348, 153.96444613297],
8852  [0.89087538490, 69.69279345744, 136.88656564167],
8853  [0.97106577369, -119.72009459652, 153.96444613297],
8854  [0.95274418275, -14.97542269353, 143.05369410523],
8855  [0.89087538490, 110.30720654250, 136.88656564167],
8856  [0.95274418275, -165.02457730649, 143.05369410524],
8857  [0.92232869119, 17.18827980458, 129.09937175185],
8858  [0.92232869119, 162.81172019538, 129.09937175186],
8859  [0.89087538490, 45.90747273127, 116.81852286779],
8860  [1.00000000000, -73.84908007911, 130.56730576486],
8861  [0.89087538490, 134.09252726868, 116.81852286780],
8862  [1.00000000000, -106.15091992089, 130.56730576486],
8863  [0.87086835536, 75.08290568597, 109.50973258055],
8864  [0.87086835536, 104.91709431399, 109.50973258056],
8865  [0.97106577369, -25.83506939225, 118.98711799516],
8866  [0.94124251586, -0.68243649609, 107.99880557643],
8867  [0.97106577369, -154.16493060776, 118.98711799517],
8868  [1.00000000000, -52.83140092207, 113.69905988308],
8869  [0.94124251586, -179.31756350393, 107.99880557645],
8870  [1.00000000000, -127.16859907795, 113.69905988309],
8871  [0.89087538490, 39.86386227369, 90.00000000000],
8872  [0.87086835536, 66.68190334573, 82.67115026513],
8873  [0.89087538490, 140.13613772627, 90.00000000001],
8874  [0.97106577369, -22.46676578634, 94.05442815563],
8875  [0.87086835536, 113.31809665424, 82.67115026513],
8876  [0.92232869119, 13.29540111333, 85.73094312148],
8877  [0.97106577369, -157.53323421367, 94.05442815564],
8878  [0.92232869119, 166.70459888663, 85.73094312148],
8879  [1.00000000000, -46.85799887624, 89.99999999998],
8880  [0.87086835536, 89.99999999998, 65.61878155780],
8881  [1.00000000000, -133.14200112378, 89.99999999999],
8882  [0.89087538490, 45.90747273128, 63.18147713220],
8883  [0.95274418275, -9.38709894171, 72.22577748956],
8884  [0.89087538490, 134.09252726869, 63.18147713220],
8885  [0.92232869119, 15.46522232737, 59.32147762345],
8886  [0.95274418275, -170.61290105831, 72.22577748956],
8887  [0.92232869119, 164.53477767258, 59.32147762346],
8888  [0.89087538490, 69.69279345747, 43.11343435832],
8889  [1.00000000000, -52.83140092207, 66.30094011689],
8890  [0.89087538490, 110.30720654251, 43.11343435833],
8891  [1.00000000000, -127.16859907795, 66.30094011689],
8892  [0.97106577369, -28.42771323078, 53.20064626834],
8893  [0.97106577369, -151.57228676924, 53.20064626835],
8894  [0.94124251586, -1.10412097174, 36.00505936904],
8895  [1.00000000000, -73.84908007912, 49.43269423512],
8896  [0.94124251586, -178.89587902827, 36.00505936904],
8897  [0.92232869119, 45.02877761295, 18.91492540417],
8898  [1.00000000000, -106.15091992091, 49.43269423512],
8899  [0.92232869119, 134.97122238703, 18.91492540417],
8900  [0.97106577369, -47.27249867041, 31.25966748280],
8901  [0.97106577369, -132.72750132962, 31.25966748281],
8902  [0.95274418275, -90.00000000003, 8.93526016570]
8903  ],
8904  [
8905  [26,17,20,31],
8906  [18,17,26],
8907  [18,9,6,17],
8908  [17,6,3,12,20],
8909  [9,1,6],
8910  [11,4,1,9],
8911  [6,1,0,3],
8912  [0,5,3],
8913  [0,2,8,5],
8914  [1,4,7,2,0],
8915  [2,10,8],
8916  [7,13,10,2],
8917  [35,28,18,26],
8918  [37,28,35],
8919  [37,34,23,28],
8920  [28,23,11,9,18],
8921  [34,24,23],
8922  [40,32,24,34],
8923  [23,24,15,11],
8924  [15,4,11],
8925  [15,16,7,4],
8926  [24,32,27,16,15],
8927  [16,13,7],
8928  [27,25,13,16],
8929  [44,46,37,35],
8930  [52,46,44],
8931  [52,54,49,46],
8932  [46,49,40,34,37],
8933  [54,51,49],
8934  [53,48,51,54],
8935  [49,51,42,40],
8936  [42,32,40],
8937  [42,36,27,32],
8938  [51,48,39,36,42],
8939  [36,25,27],
8940  [39,30,25,36],
8941  [41,47,52,44],
8942  [31,20,12,14,22,33,43,50,47,41],
8943  [47,50,53,54,52],
8944  [50,43,45,53],
8945  [45,48,53],
8946  [45,38,39,48],
8947  [43,33,29,38,45],
8948  [38,30,39],
8949  [29,21,30,38],
8950  [3,5,14,12],
8951  [22,19,29,33],
8952  [14,5,8,19,22],
8953  [19,21,29],
8954  [8,10,21,19],
8955  [41,44,35,26,31],
8956  [10,13,25,30,21]
8957  ],
8958  [
8959  [0,1],
8960  [0,2],
8961  [0,3],
8962  [0,5],
8963  [1,4],
8964  [1,6],
8965  [1,9],
8966  [2,7],
8967  [2,8],
8968  [2,10],
8969  [3,5],
8970  [3,6],
8971  [3,12],
8972  [4,7],
8973  [4,11],
8974  [4,15],
8975  [5,8],
8976  [5,14],
8977  [6,9],
8978  [6,17],
8979  [7,13],
8980  [7,16],
8981  [8,10],
8982  [8,19],
8983  [9,11],
8984  [9,18],
8985  [10,13],
8986  [10,21],
8987  [11,15],
8988  [11,23],
8989  [12,14],
8990  [12,20],
8991  [13,16],
8992  [13,25],
8993  [14,22],
8994  [15,16],
8995  [15,24],
8996  [16,27],
8997  [17,18],
8998  [17,20],
8999  [17,26],
9000  [18,26],
9001  [18,28],
9002  [19,21],
9003  [19,22],
9004  [19,29],
9005  [20,31],
9006  [21,29],
9007  [21,30],
9008  [22,33],
9009  [23,24],
9010  [23,28],
9011  [23,34],
9012  [24,32],
9013  [24,34],
9014  [25,27],
9015  [25,30],
9016  [25,36],
9017  [26,31],
9018  [26,35],
9019  [27,32],
9020  [27,36],
9021  [28,35],
9022  [28,37],
9023  [29,33],
9024  [29,38],
9025  [30,38],
9026  [30,39],
9027  [31,41],
9028  [32,40],
9029  [32,42],
9030  [33,43],
9031  [34,37],
9032  [34,40],
9033  [35,37],
9034  [35,44],
9035  [36,39],
9036  [36,42],
9037  [37,46],
9038  [38,39],
9039  [38,45],
9040  [39,48],
9041  [40,42],
9042  [40,49],
9043  [41,44],
9044  [41,47],
9045  [42,51],
9046  [43,45],
9047  [43,50],
9048  [44,46],
9049  [44,52],
9050  [45,48],
9051  [45,53],
9052  [46,49],
9053  [46,52],
9054  [47,50],
9055  [47,52],
9056  [48,51],
9057  [48,53],
9058  [49,51],
9059  [49,54],
9060  [50,53],
9061  [51,54],
9062  [52,54],
9063  [53,54]
9064  ]
9065  ],
9066  [
9067  "johnson_disphenocingulum",
9068  "Disphenocingulum",
9069  "J90",
9070  "johnson",
9071  "Polyhedron Database #134",
9072  [
9073  [ 0.00000000000, -0.91099133441, -0.41242344695],
9074  [-0.00000026941, -0.26807547450, -0.92917444640],
9075  [-0.63276566284, -0.38185995726, -0.41242285227],
9076  [-0.00000000000, -0.91099226144, 0.41242344695],
9077  [ 0.63276548747, -0.38185974754, -0.41242285227],
9078  [-0.63276566284, -0.38186088429, 0.41242404163],
9079  [-0.41242406575, 0.38186068828, -0.63276369390],
9080  [-0.92917618537, 0.26807755920, 0.00000096470],
9081  [ 0.63276548747, -0.38186067457, 0.41242404163],
9082  [ 0.41242213988, 0.38186051513, -0.63276470534],
9083  [ 0.00000005633, -0.26807756307, 0.92917589152],
9084  [ 0.92917573249, 0.26807647101, -0.00000055446],
9085  [-0.41242245950, 0.38186097642, 0.63276511948],
9086  [-0.41242261897, 0.91099145800, -0.00000168831],
9087  [ 0.41242374613, 0.38186018357, 0.63276410804],
9088  [ 0.41242427492, 0.91099004546, -0.00000337405]
9089  ],
9090  [
9091  [0.99999915548, -89.99999999999, 114.35718504061],
9092  [0.96707270248, -90.00005758053, 163.90665705704],
9093  [0.84634627671, -148.88995597866, 119.16314147038],
9094  [1.00000000000, -89.99999999999, 65.64283686524],
9095  [0.84634605097, -31.11003712587, 119.16314999824],
9096  [0.84634727455, -148.88989444680, 60.83680402029],
9097  [0.84634572580, 137.20360395663, 138.38653985796],
9098  [0.96707495118, 163.90656694593, 89.99994284506],
9099  [0.84634704881, -31.11009865775, 60.83679549241],
9100  [0.84634546540, 42.79651647173, 138.38666280992],
9101  [0.96707466992, -89.99998796164, 16.09343810026],
9102  [0.96707421440, 16.09337854721, 90.00003285006],
9103  [0.84634613891, 137.20347115975, 41.61334630397],
9104  [0.99999892660, 114.35713890324, 90.00009673303],
9105  [0.84634565196, 42.79638042682, 41.61341229735],
9106  [0.99999832274, 65.64274128447, 90.00019331888]
9107  ],
9108  [
9109  [7,6,13],
9110  [15,13,6,9],
9111  [11,15,9],
9112  [7,13,12],
9113  [14,12,13,15],
9114  [11,14,15],
9115  [14,10,12],
9116  [5,7,12],
9117  [10,5,12],
9118  [3,5,10],
9119  [3,0,2,5],
9120  [2,6,7],
9121  [2,7,5],
9122  [1,6,2],
9123  [0,1,2],
9124  [8,4,0,3],
9125  [8,3,10],
9126  [14,8,10],
9127  [14,11,8],
9128  [11,4,8],
9129  [9,4,11],
9130  [6,1,9],
9131  [9,1,4],
9132  [4,1,0]
9133  ],
9134  [
9135  [0,1],
9136  [0,2],
9137  [0,3],
9138  [0,4],
9139  [1,2],
9140  [1,4],
9141  [1,6],
9142  [1,9],
9143  [2,5],
9144  [2,6],
9145  [2,7],
9146  [3,5],
9147  [3,8],
9148  [3,10],
9149  [4,8],
9150  [4,9],
9151  [4,11],
9152  [5,7],
9153  [5,10],
9154  [5,12],
9155  [6,7],
9156  [6,9],
9157  [6,13],
9158  [7,12],
9159  [7,13],
9160  [8,10],
9161  [8,11],
9162  [8,14],
9163  [9,11],
9164  [9,15],
9165  [10,12],
9166  [10,14],
9167  [11,14],
9168  [11,15],
9169  [12,13],
9170  [12,14],
9171  [13,15],
9172  [14,15]
9173  ]
9174  ],
9175  [
9176  "johnson_elongated_pentagonal_cupola",
9177  "Elongated Pentagonal Cupola",
9178  "J20",
9179  "johnson",
9180  "Polyhedron Database #64",
9181  [
9182  [-0.28328429192, 0.16705488720, -0.87185940159],
9183  [-0.74164790473, 0.16705488720, -0.53883874359],
9184  [ 0.28328429192, 0.16705488720, -0.87185940159],
9185  [-0.28328429192, 0.46491761888, -0.38990737776],
9186  [-0.28328429192, -0.39951369664, -0.87185940159],
9187  [-0.74164790473, -0.39951369664, -0.53883874360],
9188  [ 0.28328429192, 0.46491761888, -0.38990737776],
9189  [-0.91672722562, 0.16705488720, 0.00000000000],
9190  [ 0.28328429192, -0.39951369664, -0.87185940159],
9191  [-0.45836361281, 0.46491761888, 0.14893136584],
9192  [ 0.74164790473, 0.16705488720, -0.53883874359],
9193  [-0.91672722562, -0.39951369664, -0.00000000000],
9194  [ 0.45836361281, 0.46491761888, 0.14893136584],
9195  [-0.74164790473, 0.16705488720, 0.53883874359],
9196  [ 0.74164790473, -0.39951369664, -0.53883874359],
9197  [ 0.00000000000, 0.46491761888, 0.48195202384],
9198  [ 0.91672722562, 0.16705488720, 0.00000000000],
9199  [-0.74164790473, -0.39951369664, 0.53883874359],
9200  [-0.28328429192, 0.16705488720, 0.87185940159],
9201  [ 0.91672722562, -0.39951369664, -0.00000000000],
9202  [ 0.74164790473, 0.16705488720, 0.53883874359],
9203  [ 0.28328429192, 0.16705488720, 0.87185940159],
9204  [-0.28328429192, -0.39951369664, 0.87185940159],
9205  [ 0.74164790473, -0.39951369664, 0.53883874359],
9206  [ 0.28328429192, -0.39951369664, 0.87185940159]
9207  ],
9208  [
9209  [0.93182409366, 149.47182597893, 159.33309630884],
9210  [0.93182409366, 167.30607932837, 125.32841466616],
9211  [0.93182409366, 30.52817402105, 159.33309630884],
9212  [0.66964628396, 121.35484908292, 125.60956519624],
9213  [1.00000000000, -125.33941614972, 150.67543818218],
9214  [1.00000000000, -151.68937377151, 122.60462203056],
9215  [0.66964628396, 58.64515091705, 125.60956519625],
9216  [0.93182409366, 169.67233386045, 89.99999999999],
9217  [1.00000000000, -54.66058385029, 150.67543818217],
9218  [0.66964628396, 134.59328689184, 77.14978588814],
9219  [0.93182409366, 12.69392067161, 125.32841466616],
9220  [1.00000000000, -156.45221917111, 90.00000000000],
9221  [0.66964628396, 45.40671310815, 77.14978588814],
9222  [0.93182409366, 167.30607932839, 54.67158533383],
9223  [1.00000000000, -28.31062622849, 122.60462203056],
9224  [0.66964628396, 89.99999999999, 43.96934678934],
9225  [0.93182409366, 10.32766613953, 89.99999999999],
9226  [1.00000000000, -151.68937377150, 57.39537796944],
9227  [0.93182409366, 149.47182597897, 20.66690369115],
9228  [1.00000000000, -23.54778082888, 90.00000000000],
9229  [0.93182409366, 12.69392067159, 54.67158533382],
9230  [0.93182409366, 30.52817402101, 20.66690369114],
9231  [1.00000000000, -125.33941614971, 29.32456181783],
9232  [1.00000000000, -28.31062622849, 57.39537796944],
9233  [1.00000000000, -54.66058385030, 29.32456181783]
9234  ],
9235  [
9236  [24,23,19,14,8,4,5,11,17,22],
9237  [0,4,8,2],
9238  [1,5,4,0],
9239  [7,11,5,1],
9240  [13,17,11,7],
9241  [18,22,17,13],
9242  [21,24,22,18],
9243  [20,23,24,21],
9244  [16,19,23,20],
9245  [10,14,19,16],
9246  [2,8,14,10],
9247  [3,6,12,15,9],
9248  [18,13,9,15],
9249  [21,18,15],
9250  [20,21,15,12],
9251  [16,20,12],
9252  [10,16,12,6],
9253  [2,10,6],
9254  [0,2,6,3],
9255  [1,0,3],
9256  [7,1,3,9],
9257  [13,7,9]
9258  ],
9259  [
9260  [0,1],
9261  [0,2],
9262  [0,3],
9263  [0,4],
9264  [1,3],
9265  [1,5],
9266  [1,7],
9267  [2,6],
9268  [2,8],
9269  [2,10],
9270  [3,6],
9271  [3,9],
9272  [4,5],
9273  [4,8],
9274  [5,11],
9275  [6,10],
9276  [6,12],
9277  [7,9],
9278  [7,11],
9279  [7,13],
9280  [8,14],
9281  [9,13],
9282  [9,15],
9283  [10,14],
9284  [10,16],
9285  [11,17],
9286  [12,15],
9287  [12,16],
9288  [12,20],
9289  [13,17],
9290  [13,18],
9291  [14,19],
9292  [15,18],
9293  [15,21],
9294  [16,19],
9295  [16,20],
9296  [17,22],
9297  [18,21],
9298  [18,22],
9299  [19,23],
9300  [20,21],
9301  [20,23],
9302  [21,24],
9303  [22,24],
9304  [23,24]
9305  ]
9306  ],
9307  [
9308  "johnson_elongated_pentagonal_dipyramid",
9309  "Elongated Pentagonal Dipyramid",
9310  "J16",
9311  "johnson",
9312  "Polyhedron Database #60",
9313  [
9314  [-0.78872229263, 0.48745718453, -0.25627140773],
9315  [-0.48745718453, 0.48745718453, 0.67092725579],
9316  [-0.78872229263, -0.48745718453, -0.25627140773],
9317  [ 0.00000000000, 1.00000000000, 0.00000000000],
9318  [-0.48745718453, -0.48745718453, 0.67092725579],
9319  [-0.00000000000, 0.48745718453, -0.82931169612],
9320  [ 0.00000000000, -0.48745718453, -0.82931169612],
9321  [ 0.48745718453, 0.48745718453, 0.67092725579],
9322  [-0.00000000000, -1.00000000000, 0.00000000000],
9323  [ 0.78872229263, 0.48745718453, -0.25627140773],
9324  [ 0.48745718453, -0.48745718453, 0.67092725579],
9325  [ 0.78872229263, -0.48745718453, -0.25627140773]
9326  ],
9327  [
9328  [0.96196278310, 148.28252558853, 105.45043708632],
9329  [0.96196278310, 135.00000000000, 45.77670183608],
9330  [0.96196278310, -148.28252558853, 105.45043708632],
9331  [1.00000000000, 89.99999999999, 89.99999999999],
9332  [0.96196278310, -134.99999999999, 45.77670183608],
9333  [0.96196278310, 89.99999999999, 149.55361568292],
9334  [0.96196278310, -89.99999999999, 149.55361568292],
9335  [0.96196278310, 45.00000000000, 45.77670183608],
9336  [1.00000000000, -89.99999999999, 89.99999999999],
9337  [0.96196278310, 31.71747441146, 105.45043708632],
9338  [0.96196278310, -44.99999999999, 45.77670183608],
9339  [0.96196278310, -31.71747441146, 105.45043708632]
9340  ],
9341  [
9342  [7,9,11,10],
9343  [8,10,11],
9344  [3,9,7],
9345  [9,5,6,11],
9346  [8,11,6],
9347  [3,5,9],
9348  [5,0,2,6],
9349  [8,6,2],
9350  [3,0,5],
9351  [0,1,4,2],
9352  [8,2,4],
9353  [3,1,0],
9354  [1,7,10,4],
9355  [8,4,10],
9356  [3,7,1]
9357  ],
9358  [
9359  [0,1],
9360  [0,2],
9361  [0,3],
9362  [0,5],
9363  [1,3],
9364  [1,4],
9365  [1,7],
9366  [2,4],
9367  [2,6],
9368  [2,8],
9369  [3,5],
9370  [3,7],
9371  [3,9],
9372  [4,8],
9373  [4,10],
9374  [5,6],
9375  [5,9],
9376  [6,8],
9377  [6,11],
9378  [7,9],
9379  [7,10],
9380  [8,10],
9381  [8,11],
9382  [9,11],
9383  [10,11]
9384  ]
9385  ],
9386  [
9387  "johnson_elongated_pentagonal_gyrobicupola",
9388  "Elongated Pentagonal Gyrobicupola",
9389  "J39",
9390  "johnson",
9391  "Polyhedron Database #83",
9392  [
9393  [ 0.95542256322, -0.29524180884, 0.00000000000],
9394  [ 0.95542256322, 0.29524180884, 0.00000000000],
9395  [ 0.77295309045, -0.29524180884, -0.56158329237],
9396  [ 0.77295309045, 0.29524180884, -0.56158329237],
9397  [ 0.77295309045, -0.29524180884, 0.56158329237],
9398  [ 0.77295309045, 0.29524180884, 0.56158329237],
9399  [ 0.47771128161, -0.60567741786, -0.15521780451],
9400  [ 0.29524180884, -0.29524180884, -0.90866085457],
9401  [ 0.29524180884, 0.29524180884, -0.90866085457],
9402  [ 0.47771128161, 0.60567741786, 0.15521780451],
9403  [ 0.29524180884, 0.60567741786, -0.40636548786],
9404  [ 0.29524180884, -0.60567741786, 0.40636548786],
9405  [ 0.00000000000, -0.60567741786, -0.50229536671],
9406  [ 0.29524180884, -0.29524180884, 0.90866085457],
9407  [ 0.29524180884, 0.29524180884, 0.90866085457],
9408  [-0.29524180884, -0.29524180884, -0.90866085457],
9409  [-0.29524180884, 0.29524180884, -0.90866085457],
9410  [-0.00000000000, 0.60567741786, 0.50229536671],
9411  [-0.29524180884, 0.60567741786, -0.40636548786],
9412  [-0.29524180884, -0.60567741786, 0.40636548786],
9413  [-0.47771128161, -0.60567741786, -0.15521780451],
9414  [-0.29524180884, -0.29524180884, 0.90866085457],
9415  [-0.29524180884, 0.29524180884, 0.90866085457],
9416  [-0.47771128161, 0.60567741786, 0.15521780451],
9417  [-0.77295309045, -0.29524180884, -0.56158329237],
9418  [-0.77295309045, 0.29524180884, -0.56158329237],
9419  [-0.77295309045, -0.29524180884, 0.56158329237],
9420  [-0.77295309045, 0.29524180884, 0.56158329237],
9421  [-0.95542256322, -0.29524180884, -0.00000000000],
9422  [-0.95542256322, 0.29524180884, -0.00000000000]
9423  ],
9424  [
9425  [1.00000000000, -17.17203785052, 89.99999999999],
9426  [1.00000000000, 17.17203785052, 89.99999999999],
9427  [1.00000000000, -20.90515744788, 124.16536382817],
9428  [1.00000000000, 20.90515744789, 124.16536382816],
9429  [1.00000000000, -20.90515744789, 55.83463617183],
9430  [1.00000000000, 20.90515744789, 55.83463617182],
9431  [0.78685816379, -51.73636802935, 101.37693750355],
9432  [1.00000000000, -44.99999999999, 155.32094261067],
9433  [1.00000000000, 45.00000000000, 155.32094261066],
9434  [0.78685816379, 51.73636802935, 78.62306249645],
9435  [0.78685816379, 64.01274853923, 121.09379417367],
9436  [0.78685816379, -64.01274853925, 58.90620582632],
9437  [0.78685816379, -89.99999999999, 129.66931460377],
9438  [1.00000000000, -45.00000000000, 24.67905738933],
9439  [1.00000000000, 44.99999999998, 24.67905738932],
9440  [1.00000000000, -135.00000000001, 155.32094261067],
9441  [1.00000000000, 134.99999999999, 155.32094261066],
9442  [0.78685816379, 89.99999999999, 50.33068539622],
9443  [0.78685816379, 115.98725146074, 121.09379417367],
9444  [0.78685816379, -115.98725146076, 58.90620582632],
9445  [0.78685816379, -128.26363197064, 101.37693750354],
9446  [1.00000000000, -134.99999999999, 24.67905738933],
9447  [1.00000000000, 135.00000000000, 24.67905738931],
9448  [0.78685816379, 128.26363197064, 78.62306249644],
9449  [1.00000000000, -159.09484255210, 124.16536382817],
9450  [1.00000000000, 159.09484255210, 124.16536382816],
9451  [1.00000000000, -159.09484255209, 55.83463617183],
9452  [1.00000000000, 159.09484255211, 55.83463617182],
9453  [1.00000000000, -162.82796214947, 89.99999999999],
9454  [1.00000000000, 162.82796214947, 89.99999999999]
9455  ],
9456  [
9457  [12,20,19,11,6],
9458  [4,0,6,11],
9459  [13,4,11],
9460  [21,13,11,19],
9461  [26,21,19],
9462  [28,26,19,20],
9463  [24,28,20],
9464  [15,24,20,12],
9465  [7,15,12],
9466  [2,7,12,6],
9467  [0,2,6],
9468  [23,18,10,9,17],
9469  [5,14,17,9],
9470  [1,5,9],
9471  [3,1,9,10],
9472  [8,3,10],
9473  [16,8,10,18],
9474  [25,16,18],
9475  [29,25,18,23],
9476  [27,29,23],
9477  [22,27,23,17],
9478  [14,22,17],
9479  [15,16,25,24],
9480  [7,8,16,15],
9481  [2,3,8,7],
9482  [0,1,3,2],
9483  [4,5,1,0],
9484  [13,14,5,4],
9485  [21,22,14,13],
9486  [26,27,22,21],
9487  [28,29,27,26],
9488  [24,25,29,28]
9489  ],
9490  [
9491  [0,1],
9492  [0,2],
9493  [0,4],
9494  [0,6],
9495  [1,3],
9496  [1,5],
9497  [1,9],
9498  [2,3],
9499  [2,6],
9500  [2,7],
9501  [3,8],
9502  [3,10],
9503  [4,5],
9504  [4,11],
9505  [4,13],
9506  [5,9],
9507  [5,14],
9508  [6,11],
9509  [6,12],
9510  [7,8],
9511  [7,12],
9512  [7,15],
9513  [8,10],
9514  [8,16],
9515  [9,10],
9516  [9,17],
9517  [10,18],
9518  [11,13],
9519  [11,19],
9520  [12,15],
9521  [12,20],
9522  [13,14],
9523  [13,21],
9524  [14,17],
9525  [14,22],
9526  [15,16],
9527  [15,24],
9528  [16,18],
9529  [16,25],
9530  [17,22],
9531  [17,23],
9532  [18,23],
9533  [18,25],
9534  [19,20],
9535  [19,21],
9536  [19,26],
9537  [20,24],
9538  [20,28],
9539  [21,22],
9540  [21,26],
9541  [22,27],
9542  [23,27],
9543  [23,29],
9544  [24,25],
9545  [24,28],
9546  [25,29],
9547  [26,27],
9548  [26,28],
9549  [27,29],
9550  [28,29]
9551  ]
9552  ],
9553  [
9554  "johnson_elongated_pentagonal_gyrobirotunda",
9555  "Elongated Pentagonal Gyrobirotunda",
9556  "J43",
9557  "johnson",
9558  "Polyhedron Database #87",
9559  [
9560  [-0.00000000000, -0.91077745739, 0.41289759398],
9561  [-0.39268894732, -0.91077745739, 0.12759237348],
9562  [-0.39268894732, -0.65559271043, 0.54048996746],
9563  [ 0.39268894732, -0.91077745739, 0.12759237348],
9564  [ 0.39268894732, -0.65559271043, 0.54048996746],
9565  [-0.24269511645, -0.91077745739, -0.33404117047],
9566  [ 0.24269511645, -0.91077745739, -0.33404117047],
9567  [-0.24269511645, -0.24269511645, 0.74693876445],
9568  [-0.63538406377, -0.65559271043, -0.20644879699],
9569  [ 0.24269511645, -0.24269511645, 0.74693876445],
9570  [-0.63538406377, -0.24269511645, 0.46163354395],
9571  [ 0.63538406377, -0.65559271043, -0.20644879699],
9572  [ 0.63538406377, -0.24269511645, 0.46163354395],
9573  [-0.78537789464, -0.24269511645, -0.00000000000],
9574  [ 0.00000000000, -0.65559271043, -0.66808234094],
9575  [-0.24269511645, 0.24269511645, 0.74693876445],
9576  [ 0.78537789464, -0.24269511645, 0.00000000000],
9577  [ 0.24269511645, 0.24269511645, 0.74693876445],
9578  [-0.63538406377, 0.24269511645, 0.46163354395],
9579  [-0.63538406377, -0.24269511645, -0.46163354395],
9580  [ 0.63538406377, 0.24269511645, 0.46163354395],
9581  [ 0.63538406377, -0.24269511645, -0.46163354395],
9582  [-0.24269511645, -0.24269511645, -0.74693876445],
9583  [-0.78537789464, 0.24269511645, -0.00000000000],
9584  [ 0.24269511645, -0.24269511645, -0.74693876445],
9585  [-0.00000000000, 0.65559271043, 0.66808234094],
9586  [ 0.78537789464, 0.24269511645, 0.00000000000],
9587  [-0.63538406377, 0.24269511645, -0.46163354395],
9588  [-0.63538406377, 0.65559271043, 0.20644879699],
9589  [ 0.63538406377, 0.24269511645, -0.46163354395],
9590  [-0.24269511645, 0.24269511645, -0.74693876445],
9591  [ 0.63538406377, 0.65559271043, 0.20644879699],
9592  [ 0.24269511645, 0.24269511645, -0.74693876445],
9593  [-0.24269511645, 0.91077745739, 0.33404117047],
9594  [ 0.24269511645, 0.91077745739, 0.33404117047],
9595  [-0.39268894732, 0.65559271043, -0.54048996746],
9596  [-0.39268894732, 0.91077745739, -0.12759237348],
9597  [ 0.39268894732, 0.65559271043, -0.54048996746],
9598  [ 0.39268894732, 0.91077745739, -0.12759237348],
9599  [ 0.00000000000, 0.91077745739, -0.41289759398]
9600  ],
9601  [
9602  [1.00000000000, -90.00000000000, 65.61301243341],
9603  [1.00000000000, -113.32367419882, 82.66951315513],
9604  [0.93602126912, -120.92089564577, 54.72977482643],
9605  [1.00000000000, -66.67632580118, 82.66951315513],
9606  [0.93602126912, -59.07910435423, 54.72977482643],
9607  [1.00000000000, -104.92091111802, 109.51424256836],
9608  [1.00000000000, -75.07908888197, 109.51424256836],
9609  [0.82202150637, -134.99999999999, 24.67905738933],
9610  [0.93602126912, -134.10317859661, 102.74192321090],
9611  [0.82202150637, -45.00000000001, 24.67905738933],
9612  [0.82202150637, -159.09484255210, 55.83463617183],
9613  [0.93602126912, -45.89682140339, 102.74192321089],
9614  [0.82202150637, -20.90515744789, 55.83463617183],
9615  [0.82202150637, -162.82796214948, 90.00000000000],
9616  [0.93602126912, -89.99999999999, 135.54060237763],
9617  [0.82202150637, 135.00000000000, 24.67905738933],
9618  [0.82202150637, -17.17203785051, 89.99999999999],
9619  [0.82202150637, 45.00000000000, 24.67905738932],
9620  [0.82202150637, 159.09484255210, 55.83463617182],
9621  [0.82202150637, -159.09484255210, 124.16536382816],
9622  [0.82202150637, 20.90515744789, 55.83463617182],
9623  [0.82202150637, -20.90515744789, 124.16536382816],
9624  [0.82202150637, -134.99999999999, 155.32094261067],
9625  [0.82202150637, 162.82796214948, 89.99999999999],
9626  [0.82202150637, -44.99999999999, 155.32094261066],
9627  [0.93602126912, 89.99999999999, 44.45939762235],
9628  [0.82202150637, 17.17203785051, 89.99999999999],
9629  [0.82202150637, 159.09484255209, 124.16536382816],
9630  [0.93602126912, 134.10317859660, 77.25807678910],
9631  [0.82202150637, 20.90515744789, 124.16536382816],
9632  [0.82202150637, 134.99999999998, 155.32094261066],
9633  [0.93602126912, 45.89682140338, 77.25807678908],
9634  [0.82202150637, 45.00000000000, 155.32094261066],
9635  [1.00000000000, 104.92091111802, 70.48575743163],
9636  [1.00000000000, 75.07908888197, 70.48575743163],
9637  [0.93602126912, 120.92089564576, 125.27022517356],
9638  [1.00000000000, 113.32367419881, 97.33048684486],
9639  [0.93602126912, 59.07910435422, 125.27022517356],
9640  [1.00000000000, 66.67632580117, 97.33048684486],
9641  [1.00000000000, 89.99999999999, 114.38698756658]
9642  ],
9643  [
9644  [3,6,5,1,0],
9645  [2,7,9,4,0],
9646  [1,2,0],
9647  [10,7,2],
9648  [8,13,10,2,1],
9649  [5,8,1],
9650  [19,13,8],
9651  [14,22,19,8,5],
9652  [6,14,5],
9653  [24,22,14],
9654  [11,21,24,14,6],
9655  [3,11,6],
9656  [16,21,11],
9657  [4,12,16,11,3],
9658  [0,4,3],
9659  [9,12,4],
9660  [36,39,38,34,33],
9661  [25,15,18,28,33],
9662  [34,25,33],
9663  [17,15,25],
9664  [31,20,17,25,34],
9665  [38,31,34],
9666  [26,20,31],
9667  [37,29,26,31,38],
9668  [39,37,38],
9669  [32,29,37],
9670  [35,30,32,37,39],
9671  [36,35,39],
9672  [27,30,35],
9673  [28,23,27,35,36],
9674  [33,28,36],
9675  [18,23,28],
9676  [21,29,32,24],
9677  [16,26,29,21],
9678  [12,20,26,16],
9679  [9,17,20,12],
9680  [7,15,17,9],
9681  [10,18,15,7],
9682  [13,23,18,10],
9683  [19,27,23,13],
9684  [22,30,27,19],
9685  [24,32,30,22]
9686  ],
9687  [
9688  [0,1],
9689  [0,2],
9690  [0,3],
9691  [0,4],
9692  [1,2],
9693  [1,5],
9694  [1,8],
9695  [2,7],
9696  [2,10],
9697  [3,4],
9698  [3,6],
9699  [3,11],
9700  [4,9],
9701  [4,12],
9702  [5,6],
9703  [5,8],
9704  [5,14],
9705  [6,11],
9706  [6,14],
9707  [7,9],
9708  [7,10],
9709  [7,15],
9710  [8,13],
9711  [8,19],
9712  [9,12],
9713  [9,17],
9714  [10,13],
9715  [10,18],
9716  [11,16],
9717  [11,21],
9718  [12,16],
9719  [12,20],
9720  [13,19],
9721  [13,23],
9722  [14,22],
9723  [14,24],
9724  [15,17],
9725  [15,18],
9726  [15,25],
9727  [16,21],
9728  [16,26],
9729  [17,20],
9730  [17,25],
9731  [18,23],
9732  [18,28],
9733  [19,22],
9734  [19,27],
9735  [20,26],
9736  [20,31],
9737  [21,24],
9738  [21,29],
9739  [22,24],
9740  [22,30],
9741  [23,27],
9742  [23,28],
9743  [24,32],
9744  [25,33],
9745  [25,34],
9746  [26,29],
9747  [26,31],
9748  [27,30],
9749  [27,35],
9750  [28,33],
9751  [28,36],
9752  [29,32],
9753  [29,37],
9754  [30,32],
9755  [30,35],
9756  [31,34],
9757  [31,38],
9758  [32,37],
9759  [33,34],
9760  [33,36],
9761  [34,38],
9762  [35,36],
9763  [35,39],
9764  [36,39],
9765  [37,38],
9766  [37,39],
9767  [38,39]
9768  ]
9769  ],
9770  [
9771  "johnson_elongated_pentagonal_gyrocupolarotunda",
9772  "Elongated Pentagonal Gyrocupolarotunda",
9773  "J41",
9774  "johnson",
9775  "Polyhedron Database #85",
9776  [
9777  [-0.89321946966, -0.44962092814, -0.00000000000],
9778  [-0.72262973066, -0.44962092814, 0.52502123133],
9779  [-0.89321946966, 0.10241906353, 0.00000000000],
9780  [-0.72262973066, -0.44962092814, -0.52502123133],
9781  [-0.72262973066, 0.10241906353, 0.52502123133],
9782  [-0.44660973483, -0.73984552689, 0.14511229938],
9783  [-0.72262973066, 0.10241906353, -0.52502123133],
9784  [-0.72262973066, 0.57201232868, 0.23479663258],
9785  [-0.27601999583, -0.44962092814, 0.84950219710],
9786  [-0.27601999583, -0.73984552689, -0.37990893195],
9787  [-0.27601999583, -0.44962092814, -0.84950219710],
9788  [-0.27601999583, 0.10241906353, 0.84950219710],
9789  [-0.00000000000, -0.73984552689, 0.46959326515],
9790  [-0.44660973483, 0.57201232868, -0.61470556453],
9791  [-0.27601999583, 0.10241906353, -0.84950219710],
9792  [-0.44660973483, 0.86223692743, -0.14511229938],
9793  [-0.27601999583, 0.86223692743, 0.37990893195],
9794  [ 0.27601999583, -0.44962092814, 0.84950219710],
9795  [ 0.27601999583, -0.73984552689, -0.37990893195],
9796  [ 0.00000000000, 0.57201232868, 0.75981786390],
9797  [ 0.44660973483, -0.73984552689, 0.14511229938],
9798  [ 0.27601999583, -0.44962092814, -0.84950219710],
9799  [ 0.27601999583, 0.10241906353, 0.84950219710],
9800  [-0.00000000000, 0.86223692743, -0.46959326515],
9801  [ 0.27601999583, 0.10241906353, -0.84950219710],
9802  [ 0.72262973066, -0.44962092814, 0.52502123133],
9803  [ 0.27601999583, 0.86223692743, 0.37990893195],
9804  [ 0.72262973066, -0.44962092814, -0.52502123133],
9805  [ 0.44660973483, 0.57201232868, -0.61470556453],
9806  [ 0.72262973066, 0.10241906353, 0.52502123133],
9807  [ 0.89321946966, -0.44962092814, -0.00000000000],
9808  [ 0.44660973483, 0.86223692743, -0.14511229938],
9809  [ 0.72262973066, 0.10241906353, -0.52502123133],
9810  [ 0.72262973066, 0.57201232868, 0.23479663258],
9811  [ 0.89321946966, 0.10241906353, -0.00000000000]
9812  ],
9813  [
9814  [1.00000000000, -153.28063430469, 89.99999999999],
9815  [1.00000000000, -148.11008551483, 58.33032745305],
9816  [0.89907212478, 173.45887114425, 89.99999999999],
9817  [1.00000000000, -148.11008551484, 121.66967254694],
9818  [0.89907212478, 171.93313809187, 54.27052003414],
9819  [0.87629289529, -121.11739323402, 80.46802815740],
9820  [0.89907212478, 171.93313809186, 125.72947996584],
9821  [0.95106324210, 141.63590425572, 75.70715252401],
9822  [1.00000000000, -121.54555176267, 31.84243318692],
9823  [0.87629289529, -110.45943215682, 115.69249417880],
9824  [1.00000000000, -121.54555176272, 148.15756681307],
9825  [0.89907212478, 159.64229159257, 19.11460700872],
9826  [0.87629289529, -90.00000000000, 57.59596906291],
9827  [0.95106324210, 127.98162962275, 130.26585133679],
9828  [0.89907212478, 159.64229159254, 160.88539299124],
9829  [0.98181991918, 117.38263757869, 98.49941439443],
9830  [0.98181991918, 107.75095108054, 67.23554569143],
9831  [1.00000000000, -58.45444823730, 31.84243318693],
9832  [0.87629289529, -69.54056784319, 115.69249417881],
9833  [0.95106324210, 89.99999999999, 36.97346571500],
9834  [0.87629289529, -58.88260676597, 80.46802815741],
9835  [1.00000000000, -58.45444823730, 148.15756681308],
9836  [0.89907212478, 20.35770840741, 19.11460700874],
9837  [0.98181991918, 89.99999999999, 118.57368669056],
9838  [0.89907212478, 20.35770840746, 160.88539299126],
9839  [1.00000000000, -31.88991448515, 58.33032745305],
9840  [0.98181991918, 72.24904891944, 67.23554569143],
9841  [1.00000000000, -31.88991448516, 121.66967254695],
9842  [0.95106324210, 52.01837037725, 130.26585133680],
9843  [0.89907212478, 8.06686190811, 54.27052003415],
9844  [1.00000000000, -26.71936569530, 90.00000000001],
9845  [0.98181991918, 62.61736242130, 98.49941439444],
9846  [0.89907212478, 8.06686190812, 125.72947996585],
9847  [0.95106324210, 38.36409574425, 75.70715252401],
9848  [0.89907212478, 6.54112885574, 90.00000000000]
9849  ],
9850  [
9851  [12,20,18,9,5],
9852  [3,0,5,9],
9853  [10,3,9],
9854  [21,10,9,18],
9855  [27,21,18],
9856  [30,27,18,20],
9857  [25,30,20],
9858  [17,25,20,12],
9859  [8,17,12],
9860  [1,8,12,5],
9861  [0,1,5],
9862  [23,31,26,16,15],
9863  [7,2,6,13,15],
9864  [16,7,15],
9865  [4,2,7],
9866  [19,11,4,7,16],
9867  [26,19,16],
9868  [22,11,19],
9869  [33,29,22,19,26],
9870  [31,33,26],
9871  [34,29,33],
9872  [28,32,34,33,31],
9873  [23,28,31],
9874  [24,32,28],
9875  [13,14,24,28,23],
9876  [15,13,23],
9877  [6,14,13],
9878  [17,22,29,25],
9879  [8,11,22,17],
9880  [1,4,11,8],
9881  [0,2,4,1],
9882  [3,6,2,0],
9883  [10,14,6,3],
9884  [21,24,14,10],
9885  [27,32,24,21],
9886  [30,34,32,27],
9887  [25,29,34,30]
9888  ],
9889  [
9890  [0,1],
9891  [0,2],
9892  [0,3],
9893  [0,5],
9894  [1,4],
9895  [1,5],
9896  [1,8],
9897  [2,4],
9898  [2,6],
9899  [2,7],
9900  [3,6],
9901  [3,9],
9902  [3,10],
9903  [4,7],
9904  [4,11],
9905  [5,9],
9906  [5,12],
9907  [6,13],
9908  [6,14],
9909  [7,15],
9910  [7,16],
9911  [8,11],
9912  [8,12],
9913  [8,17],
9914  [9,10],
9915  [9,18],
9916  [10,14],
9917  [10,21],
9918  [11,19],
9919  [11,22],
9920  [12,17],
9921  [12,20],
9922  [13,14],
9923  [13,15],
9924  [13,23],
9925  [14,24],
9926  [15,16],
9927  [15,23],
9928  [16,19],
9929  [16,26],
9930  [17,22],
9931  [17,25],
9932  [18,20],
9933  [18,21],
9934  [18,27],
9935  [19,22],
9936  [19,26],
9937  [20,25],
9938  [20,30],
9939  [21,24],
9940  [21,27],
9941  [22,29],
9942  [23,28],
9943  [23,31],
9944  [24,28],
9945  [24,32],
9946  [25,29],
9947  [25,30],
9948  [26,31],
9949  [26,33],
9950  [27,30],
9951  [27,32],
9952  [28,31],
9953  [28,32],
9954  [29,33],
9955  [29,34],
9956  [30,34],
9957  [31,33],
9958  [32,34],
9959  [33,34]
9960  ]
9961  ],
9962  [
9963  "johnson_elongated_pentagonal_orthobicupola",
9964  "Elongated Pentagonal Orthobicupola",
9965  "J38",
9966  "johnson",
9967  "Polyhedron Database #82",
9968  [
9969  [ 0.95542256322, 0.29524180884, -0.00000000000],
9970  [ 0.77295309045, 0.29524180884, 0.56158329237],
9971  [ 0.95542256322, -0.29524180884, -0.00000000000],
9972  [ 0.77295309045, 0.29524180884, -0.56158329237],
9973  [ 0.47771128161, 0.60567741786, 0.15521780451],
9974  [ 0.77295309045, -0.29524180884, 0.56158329237],
9975  [ 0.29524180884, 0.29524180884, 0.90866085457],
9976  [ 0.77295309045, -0.29524180884, -0.56158329237],
9977  [ 0.29524180884, 0.60567741786, -0.40636548786],
9978  [ 0.00000000000, 0.60567741786, 0.50229536671],
9979  [ 0.29524180884, -0.29524180884, 0.90866085457],
9980  [ 0.29524180884, 0.29524180884, -0.90866085457],
9981  [ 0.47771128161, -0.60567741786, 0.15521780451],
9982  [-0.29524180884, 0.29524180884, 0.90866085457],
9983  [ 0.29524180884, -0.29524180884, -0.90866085457],
9984  [ 0.29524180884, -0.60567741786, -0.40636548786],
9985  [-0.29524180884, 0.60567741786, -0.40636548786],
9986  [ 0.00000000000, -0.60567741786, 0.50229536671],
9987  [-0.47771128161, 0.60567741786, 0.15521780451],
9988  [-0.29524180884, -0.29524180884, 0.90866085457],
9989  [-0.29524180884, 0.29524180884, -0.90866085457],
9990  [-0.77295309045, 0.29524180884, 0.56158329237],
9991  [-0.29524180884, -0.29524180884, -0.90866085457],
9992  [-0.29524180884, -0.60567741786, -0.40636548786],
9993  [-0.47771128161, -0.60567741786, 0.15521780451],
9994  [-0.77295309045, 0.29524180884, -0.56158329237],
9995  [-0.77295309045, -0.29524180884, 0.56158329237],
9996  [-0.95542256322, 0.29524180884, 0.00000000000],
9997  [-0.77295309045, -0.29524180884, -0.56158329237],
9998  [-0.95542256322, -0.29524180884, 0.00000000000]
9999  ],
10000  [
10001  [1.00000000000, 17.17203785052, 89.99999999999],
10002  [1.00000000000, 20.90515744789, 55.83463617182],
10003  [1.00000000000, -17.17203785051, 90.00000000000],
10004  [1.00000000000, 20.90515744790, 124.16536382816],
10005  [0.78685816379, 51.73636802936, 78.62306249644],
10006  [1.00000000000, -20.90515744789, 55.83463617183],
10007  [1.00000000000, 44.99999999999, 24.67905738932],
10008  [1.00000000000, -20.90515744788, 124.16536382818],
10009  [0.78685816379, 64.01274853924, 121.09379417366],
10010  [0.78685816379, 89.99999999998, 50.33068539622],
10011  [1.00000000000, -45.00000000001, 24.67905738933],
10012  [1.00000000000, 45.00000000002, 155.32094261066],
10013  [0.78685816379, -51.73636802935, 78.62306249646],
10014  [1.00000000000, 135.00000000001, 24.67905738931],
10015  [1.00000000000, -44.99999999998, 155.32094261068],
10016  [0.78685816379, -64.01274853923, 121.09379417368],
10017  [0.78685816379, 115.98725146076, 121.09379417367],
10018  [0.78685816379, -89.99999999999, 50.33068539624],
10019  [0.78685816379, 128.26363197064, 78.62306249644],
10020  [1.00000000000, -134.99999999997, 24.67905738933],
10021  [1.00000000000, 134.99999999998, 155.32094261065],
10022  [1.00000000000, 159.09484255211, 55.83463617181],
10023  [1.00000000000, -135.00000000000, 155.32094261067],
10024  [0.78685816379, -115.98725146075, 121.09379417368],
10025  [0.78685816379, -128.26363197063, 78.62306249646],
10026  [1.00000000000, 159.09484255210, 124.16536382816],
10027  [1.00000000000, -159.09484255209, 55.83463617183],
10028  [1.00000000000, 162.82796214948, 89.99999999999],
10029  [1.00000000000, -159.09484255210, 124.16536382817],
10030  [1.00000000000, -162.82796214947, 89.99999999999]
10031  ],
10032  [
10033  [15,23,24,17,12],
10034  [10,5,12,17],
10035  [19,10,17],
10036  [26,19,17,24],
10037  [29,26,24],
10038  [28,29,24,23],
10039  [22,28,23],
10040  [14,22,23,15],
10041  [7,14,15],
10042  [2,7,15,12],
10043  [5,2,12],
10044  [18,16,8,4,9],
10045  [1,6,9,4],
10046  [0,1,4],
10047  [3,0,4,8],
10048  [11,3,8],
10049  [20,11,8,16],
10050  [25,20,16],
10051  [27,25,16,18],
10052  [21,27,18],
10053  [13,21,18,9],
10054  [6,13,9],
10055  [14,11,20,22],
10056  [7,3,11,14],
10057  [2,0,3,7],
10058  [5,1,0,2],
10059  [10,6,1,5],
10060  [19,13,6,10],
10061  [26,21,13,19],
10062  [29,27,21,26],
10063  [28,25,27,29],
10064  [22,20,25,28]
10065  ],
10066  [
10067  [0,1],
10068  [0,2],
10069  [0,3],
10070  [0,4],
10071  [1,4],
10072  [1,5],
10073  [1,6],
10074  [2,5],
10075  [2,7],
10076  [2,12],
10077  [3,7],
10078  [3,8],
10079  [3,11],
10080  [4,8],
10081  [4,9],
10082  [5,10],
10083  [5,12],
10084  [6,9],
10085  [6,10],
10086  [6,13],
10087  [7,14],
10088  [7,15],
10089  [8,11],
10090  [8,16],
10091  [9,13],
10092  [9,18],
10093  [10,17],
10094  [10,19],
10095  [11,14],
10096  [11,20],
10097  [12,15],
10098  [12,17],
10099  [13,19],
10100  [13,21],
10101  [14,15],
10102  [14,22],
10103  [15,23],
10104  [16,18],
10105  [16,20],
10106  [16,25],
10107  [17,19],
10108  [17,24],
10109  [18,21],
10110  [18,27],
10111  [19,26],
10112  [20,22],
10113  [20,25],
10114  [21,26],
10115  [21,27],
10116  [22,23],
10117  [22,28],
10118  [23,24],
10119  [23,28],
10120  [24,26],
10121  [24,29],
10122  [25,27],
10123  [25,28],
10124  [26,29],
10125  [27,29],
10126  [28,29]
10127  ]
10128  ],
10129  [
10130  "johnson_elongated_pentagonal_orthobirotunda",
10131  "Elongated Pentagonal Orthobirotunda",
10132  "J42",
10133  "johnson",
10134  "Polyhedron Database #86",
10135  [
10136  [ 0.39268894732, 0.91077745739, -0.12759237348],
10137  [ 0.63538406377, 0.65559271043, 0.20644879699],
10138  [ 0.24269511645, 0.91077745739, 0.33404117047],
10139  [ 0.39268894732, 0.65559271043, -0.54048996746],
10140  [ 0.00000000000, 0.91077745739, -0.41289759398],
10141  [ 0.78537789464, 0.24269511645, 0.00000000000],
10142  [-0.24269511645, 0.91077745739, 0.33404117047],
10143  [ 0.63538406377, 0.24269511645, -0.46163354395],
10144  [-0.39268894732, 0.91077745739, -0.12759237348],
10145  [ 0.63538406377, 0.24269511645, 0.46163354395],
10146  [ 0.00000000000, 0.65559271043, 0.66808234094],
10147  [ 0.24269511645, 0.24269511645, -0.74693876445],
10148  [-0.39268894732, 0.65559271043, -0.54048996746],
10149  [ 0.24269511645, 0.24269511645, 0.74693876445],
10150  [ 0.78537789464, -0.24269511645, -0.00000000000],
10151  [-0.63538406377, 0.65559271043, 0.20644879699],
10152  [ 0.63538406377, -0.24269511645, -0.46163354395],
10153  [ 0.63538406377, -0.24269511645, 0.46163354395],
10154  [-0.24269511645, 0.24269511645, -0.74693876445],
10155  [-0.24269511645, 0.24269511645, 0.74693876445],
10156  [ 0.24269511645, -0.24269511645, -0.74693876445],
10157  [ 0.24269511645, -0.24269511645, 0.74693876445],
10158  [-0.63538406377, 0.24269511645, -0.46163354395],
10159  [-0.63538406377, 0.24269511645, 0.46163354395],
10160  [ 0.63538406377, -0.65559271043, 0.20644879699],
10161  [-0.78537789464, 0.24269511645, 0.00000000000],
10162  [-0.24269511645, -0.24269511645, -0.74693876445],
10163  [ 0.39268894732, -0.65559271043, -0.54048996746],
10164  [-0.24269511645, -0.24269511645, 0.74693876445],
10165  [-0.63538406377, -0.24269511645, -0.46163354395],
10166  [ 0.39268894732, -0.91077745739, -0.12759237348],
10167  [-0.63538406377, -0.24269511645, 0.46163354395],
10168  [ 0.00000000000, -0.65559271043, 0.66808234094],
10169  [-0.78537789464, -0.24269511645, -0.00000000000],
10170  [ 0.24269511645, -0.91077745739, 0.33404117047],
10171  [-0.39268894732, -0.65559271043, -0.54048996746],
10172  [-0.00000000000, -0.91077745739, -0.41289759398],
10173  [-0.63538406377, -0.65559271043, 0.20644879699],
10174  [-0.24269511645, -0.91077745739, 0.33404117047],
10175  [-0.39268894732, -0.91077745739, -0.12759237348]
10176  ],
10177  [
10178  [1.00000000000, 66.67632580117, 97.33048684486],
10179  [0.93602126912, 45.89682140339, 77.25807678909],
10180  [1.00000000000, 75.07908888197, 70.48575743162],
10181  [0.93602126912, 59.07910435423, 125.27022517356],
10182  [1.00000000000, 89.99999999999, 114.38698756658],
10183  [0.82202150637, 17.17203785051, 89.99999999999],
10184  [1.00000000000, 104.92091111801, 70.48575743162],
10185  [0.82202150637, 20.90515744789, 124.16536382816],
10186  [1.00000000000, 113.32367419881, 97.33048684485],
10187  [0.82202150637, 20.90515744789, 55.83463617182],
10188  [0.93602126912, 89.99999999999, 44.45939762235],
10189  [0.82202150637, 45.00000000001, 155.32094261066],
10190  [0.93602126912, 120.92089564576, 125.27022517355],
10191  [0.82202150637, 44.99999999999, 24.67905738932],
10192  [0.82202150637, -17.17203785052, 90.00000000000],
10193  [0.93602126912, 134.10317859660, 77.25807678908],
10194  [0.82202150637, -20.90515744789, 124.16536382818],
10195  [0.82202150637, -20.90515744789, 55.83463617183],
10196  [0.82202150637, 134.99999999998, 155.32094261065],
10197  [0.82202150637, 134.99999999999, 24.67905738931],
10198  [0.82202150637, -45.00000000000, 155.32094261068],
10199  [0.82202150637, -45.00000000001, 24.67905738934],
10200  [0.82202150637, 159.09484255209, 124.16536382816],
10201  [0.82202150637, 159.09484255210, 55.83463617181],
10202  [0.93602126912, -45.89682140338, 77.25807678910],
10203  [0.82202150637, 162.82796214947, 89.99999999998],
10204  [0.82202150637, -135.00000000000, 155.32094261067],
10205  [0.93602126912, -59.07910435422, 125.27022517357],
10206  [0.82202150637, -134.99999999998, 24.67905738932],
10207  [0.82202150637, -159.09484255210, 124.16536382817],
10208  [1.00000000000, -66.67632580117, 97.33048684488],
10209  [0.82202150637, -159.09484255209, 55.83463617183],
10210  [0.93602126912, -89.99999999999, 44.45939762237],
10211  [0.82202150637, -162.82796214948, 89.99999999999],
10212  [1.00000000000, -75.07908888196, 70.48575743164],
10213  [0.93602126912, -120.92089564578, 125.27022517357],
10214  [1.00000000000, -90.00000000000, 114.38698756659],
10215  [0.93602126912, -134.10317859660, 77.25807678910],
10216  [1.00000000000, -104.92091111802, 70.48575743164],
10217  [1.00000000000, -113.32367419882, 97.33048684487]
10218  ],
10219  [
10220  [2,6,8,4,0],
10221  [3,7,5,1,0],
10222  [4,3,0],
10223  [11,7,3],
10224  [12,18,11,3,4],
10225  [8,12,4],
10226  [22,18,12],
10227  [15,25,22,12,8],
10228  [6,15,8],
10229  [23,25,15],
10230  [10,19,23,15,6],
10231  [2,10,6],
10232  [13,19,10],
10233  [1,9,13,10,2],
10234  [0,1,2],
10235  [5,9,1],
10236  [36,39,38,34,30],
10237  [24,14,16,27,30],
10238  [34,24,30],
10239  [17,14,24],
10240  [32,21,17,24,34],
10241  [38,32,34],
10242  [28,21,32],
10243  [37,31,28,32,38],
10244  [39,37,38],
10245  [33,31,37],
10246  [35,29,33,37,39],
10247  [36,35,39],
10248  [26,29,35],
10249  [27,20,26,35,36],
10250  [30,27,36],
10251  [16,20,27],
10252  [19,28,31,23],
10253  [13,21,28,19],
10254  [9,17,21,13],
10255  [5,14,17,9],
10256  [7,16,14,5],
10257  [11,20,16,7],
10258  [18,26,20,11],
10259  [22,29,26,18],
10260  [25,33,29,22],
10261  [23,31,33,25]
10262  ],
10263  [
10264  [0,1],
10265  [0,2],
10266  [0,3],
10267  [0,4],
10268  [1,2],
10269  [1,5],
10270  [1,9],
10271  [2,6],
10272  [2,10],
10273  [3,4],
10274  [3,7],
10275  [3,11],
10276  [4,8],
10277  [4,12],
10278  [5,7],
10279  [5,9],
10280  [5,14],
10281  [6,8],
10282  [6,10],
10283  [6,15],
10284  [7,11],
10285  [7,16],
10286  [8,12],
10287  [8,15],
10288  [9,13],
10289  [9,17],
10290  [10,13],
10291  [10,19],
10292  [11,18],
10293  [11,20],
10294  [12,18],
10295  [12,22],
10296  [13,19],
10297  [13,21],
10298  [14,16],
10299  [14,17],
10300  [14,24],
10301  [15,23],
10302  [15,25],
10303  [16,20],
10304  [16,27],
10305  [17,21],
10306  [17,24],
10307  [18,22],
10308  [18,26],
10309  [19,23],
10310  [19,28],
10311  [20,26],
10312  [20,27],
10313  [21,28],
10314  [21,32],
10315  [22,25],
10316  [22,29],
10317  [23,25],
10318  [23,31],
10319  [24,30],
10320  [24,34],
10321  [25,33],
10322  [26,29],
10323  [26,35],
10324  [27,30],
10325  [27,36],
10326  [28,31],
10327  [28,32],
10328  [29,33],
10329  [29,35],
10330  [30,34],
10331  [30,36],
10332  [31,33],
10333  [31,37],
10334  [32,34],
10335  [32,38],
10336  [33,37],
10337  [34,38],
10338  [35,36],
10339  [35,39],
10340  [36,39],
10341  [37,38],
10342  [37,39],
10343  [38,39]
10344  ]
10345  ],
10346  [
10347  "johnson_elongated_pentagonal_orthocupolarotunda",
10348  "Elongated Pentagonal Orthocupolarotunda",
10349  "J40",
10350  "johnson",
10351  "Polyhedron Database #84",
10352  [
10353  [ 0.89321946966, -0.44962092814, 0.00000000000],
10354  [ 0.72262973066, -0.44962092814, 0.52502123133],
10355  [ 0.72262973066, -0.44962092814, -0.52502123133],
10356  [ 0.89321946966, 0.10241906353, -0.00000000000],
10357  [ 0.44660973483, -0.73984552689, -0.14511229938],
10358  [ 0.72262973066, 0.10241906353, 0.52502123133],
10359  [ 0.27601999583, -0.73984552689, 0.37990893195],
10360  [ 0.72262973066, 0.10241906353, -0.52502123133],
10361  [ 0.27601999583, -0.44962092814, 0.84950219710],
10362  [ 0.27601999583, -0.44962092814, -0.84950219710],
10363  [ 0.72262973066, 0.57201232868, 0.23479663258],
10364  [-0.00000000000, -0.73984552689, -0.46959326515],
10365  [ 0.27601999583, 0.10241906353, 0.84950219710],
10366  [ 0.27601999583, 0.10241906353, -0.84950219710],
10367  [-0.27601999583, -0.73984552689, 0.37990893195],
10368  [ 0.44660973483, 0.57201232868, -0.61470556453],
10369  [-0.27601999583, -0.44962092814, 0.84950219710],
10370  [ 0.44660973483, 0.86223692743, -0.14511229938],
10371  [-0.44660973483, -0.73984552689, -0.14511229938],
10372  [-0.27601999583, -0.44962092814, -0.84950219710],
10373  [ 0.27601999583, 0.86223692743, 0.37990893195],
10374  [-0.00000000000, 0.57201232868, 0.75981786390],
10375  [-0.27601999583, 0.10241906353, 0.84950219710],
10376  [-0.27601999583, 0.10241906353, -0.84950219710],
10377  [-0.72262973066, -0.44962092814, 0.52502123133],
10378  [-0.00000000000, 0.86223692743, -0.46959326515],
10379  [-0.72262973066, -0.44962092814, -0.52502123133],
10380  [-0.89321946966, -0.44962092814, 0.00000000000],
10381  [-0.27601999583, 0.86223692743, 0.37990893195],
10382  [-0.72262973066, 0.10241906353, 0.52502123133],
10383  [-0.44660973483, 0.57201232868, -0.61470556453],
10384  [-0.72262973066, 0.10241906353, -0.52502123133],
10385  [-0.44660973483, 0.86223692743, -0.14511229938],
10386  [-0.89321946966, 0.10241906353, 0.00000000000],
10387  [-0.72262973066, 0.57201232868, 0.23479663258]
10388  ],
10389  [
10390  [1.00000000000, -26.71936569529, 89.99999999999],
10391  [1.00000000000, -31.88991448516, 58.33032745305],
10392  [1.00000000000, -31.88991448516, 121.66967254695],
10393  [0.89907212478, 6.54112885574, 89.99999999999],
10394  [0.87629289529, -58.88260676597, 99.53197184259],
10395  [0.89907212478, 8.06686190811, 54.27052003414],
10396  [0.87629289529, -69.54056784318, 64.30750582120],
10397  [0.89907212478, 8.06686190813, 125.72947996585],
10398  [1.00000000000, -58.45444823730, 31.84243318692],
10399  [1.00000000000, -58.45444823730, 148.15756681307],
10400  [0.95106324210, 38.36409574426, 75.70715252401],
10401  [0.87629289529, -89.99999999999, 122.40403093709],
10402  [0.89907212478, 20.35770840741, 19.11460700874],
10403  [0.89907212478, 20.35770840745, 160.88539299125],
10404  [0.87629289529, -110.45943215680, 64.30750582120],
10405  [0.95106324210, 52.01837037724, 130.26585133679],
10406  [1.00000000000, -121.54555176269, 31.84243318692],
10407  [0.98181991918, 62.61736242130, 98.49941439444],
10408  [0.87629289529, -121.11739323402, 99.53197184259],
10409  [1.00000000000, -121.54555176269, 148.15756681307],
10410  [0.98181991918, 72.24904891944, 67.23554569144],
10411  [0.95106324210, 90.00000000000, 36.97346571501],
10412  [0.89907212478, 159.64229159257, 19.11460700873],
10413  [0.89907212478, 159.64229159256, 160.88539299125],
10414  [1.00000000000, -148.11008551483, 58.33032745304],
10415  [0.98181991918, 90.00000000000, 118.57368669057],
10416  [1.00000000000, -148.11008551484, 121.66967254695],
10417  [1.00000000000, -153.28063430469, 89.99999999999],
10418  [0.98181991918, 107.75095108054, 67.23554569144],
10419  [0.89907212478, 171.93313809188, 54.27052003414],
10420  [0.95106324210, 127.98162962274, 130.26585133680],
10421  [0.89907212478, 171.93313809187, 125.72947996585],
10422  [0.98181991918, 117.38263757869, 98.49941439444],
10423  [0.89907212478, 173.45887114426, 89.99999999999],
10424  [0.95106324210, 141.63590425573, 75.70715252401]
10425  ],
10426  [
10427  [11,18,14,6,4],
10428  [1,0,4,6],
10429  [8,1,6],
10430  [16,8,6,14],
10431  [24,16,14],
10432  [27,24,14,18],
10433  [26,27,18],
10434  [19,26,18,11],
10435  [9,19,11],
10436  [2,9,11,4],
10437  [0,2,4],
10438  [28,32,25,17,20],
10439  [10,5,12,21,20],
10440  [17,10,20],
10441  [3,5,10],
10442  [15,7,3,10,17],
10443  [25,15,17],
10444  [13,7,15],
10445  [30,23,13,15,25],
10446  [32,30,25],
10447  [31,23,30],
10448  [34,33,31,30,32],
10449  [28,34,32],
10450  [29,33,34],
10451  [21,22,29,34,28],
10452  [20,21,28],
10453  [12,22,21],
10454  [19,23,31,26],
10455  [9,13,23,19],
10456  [2,7,13,9],
10457  [0,3,7,2],
10458  [1,5,3,0],
10459  [8,12,5,1],
10460  [16,22,12,8],
10461  [24,29,22,16],
10462  [27,33,29,24],
10463  [26,31,33,27]
10464  ],
10465  [
10466  [0,1],
10467  [0,2],
10468  [0,3],
10469  [0,4],
10470  [1,5],
10471  [1,6],
10472  [1,8],
10473  [2,4],
10474  [2,7],
10475  [2,9],
10476  [3,5],
10477  [3,7],
10478  [3,10],
10479  [4,6],
10480  [4,11],
10481  [5,10],
10482  [5,12],
10483  [6,8],
10484  [6,14],
10485  [7,13],
10486  [7,15],
10487  [8,12],
10488  [8,16],
10489  [9,11],
10490  [9,13],
10491  [9,19],
10492  [10,17],
10493  [10,20],
10494  [11,18],
10495  [11,19],
10496  [12,21],
10497  [12,22],
10498  [13,15],
10499  [13,23],
10500  [14,16],
10501  [14,18],
10502  [14,24],
10503  [15,17],
10504  [15,25],
10505  [16,22],
10506  [16,24],
10507  [17,20],
10508  [17,25],
10509  [18,26],
10510  [18,27],
10511  [19,23],
10512  [19,26],
10513  [20,21],
10514  [20,28],
10515  [21,22],
10516  [21,28],
10517  [22,29],
10518  [23,30],
10519  [23,31],
10520  [24,27],
10521  [24,29],
10522  [25,30],
10523  [25,32],
10524  [26,27],
10525  [26,31],
10526  [27,33],
10527  [28,32],
10528  [28,34],
10529  [29,33],
10530  [29,34],
10531  [30,31],
10532  [30,32],
10533  [31,33],
10534  [32,34],
10535  [33,34]
10536  ]
10537  ],
10538  [
10539  "johnson_elongated_pentagonal_pyramid",
10540  "Elongated Pentagonal Pyramid",
10541  "J9",
10542  "johnson",
10543  "Polyhedron Database #53",
10544  [
10545  [-0.00000000000, -0.57203305118, 0.82023057024],
10546  [-0.00000000000, 0.39220581415, 0.82023057024],
10547  [-0.78008562869, -0.57203305118, 0.25346518551],
10548  [ 0.78008562869, -0.57203305118, 0.25346518551],
10549  [-0.78008562869, 0.39220581415, 0.25346518551],
10550  [ 0.78008562869, 0.39220581415, 0.25346518551],
10551  [-0.00000000000, 0.89913618517, 0.00000000000],
10552  [-0.48211943267, -0.57203305118, -0.66358047063],
10553  [ 0.48211943267, -0.57203305118, -0.66358047063],
10554  [-0.48211943267, 0.39220581415, -0.66358047063],
10555  [ 0.48211943267, 0.39220581415, -0.66358047063]
10556  ],
10557  [
10558  [1.00000000000, -89.99999999999, 34.89211861905],
10559  [0.90917742438, 89.99999999999, 25.55550959478],
10560  [1.00000000000, -143.74758289659, 75.31734079704],
10561  [1.00000000000, -36.25241710340, 75.31734079703],
10562  [0.90917742438, 153.30799531701, 73.81228658369],
10563  [0.90917742438, 26.69200468298, 73.81228658369],
10564  [0.89913618517, 89.99999999999, 89.99999999999],
10565  [1.00000000000, -130.12477362434, 131.57351491595],
10566  [1.00000000000, -49.87522637565, 131.57351491594],
10567  [0.90917742438, 140.87152731453, 136.87541787966],
10568  [0.90917742438, 39.12847268545, 136.87541787966]
10569  ],
10570  [
10571  [7,2,0,3,8],
10572  [5,3,0,1],
10573  [5,1,6],
10574  [10,8,3,5],
10575  [10,5,6],
10576  [9,7,8,10],
10577  [9,10,6],
10578  [4,2,7,9],
10579  [4,9,6],
10580  [1,0,2,4],
10581  [1,4,6]
10582  ],
10583  [
10584  [0,1],
10585  [0,2],
10586  [0,3],
10587  [1,4],
10588  [1,5],
10589  [1,6],
10590  [2,4],
10591  [2,7],
10592  [3,5],
10593  [3,8],
10594  [4,6],
10595  [4,9],
10596  [5,6],
10597  [5,10],
10598  [6,9],
10599  [6,10],
10600  [7,8],
10601  [7,9],
10602  [8,10],
10603  [9,10]
10604  ]
10605  ],
10606  [
10607  "johnson_elongated_pentagonal_rotunds",
10608  "Elongated Pentagonal Rotunds",
10609  "J21",
10610  "johnson",
10611  "Polyhedron Database #65",
10612  [
10613  [ 0.68097260340, 0.42283845042, 0.22126141144],
10614  [ 0.42086421431, 0.69633259576, -0.13674707267],
10615  [ 0.84172842862, -0.01968437246, 0.00000000000],
10616  [ 0.26010838909, 0.69633259576, 0.35800848411],
10617  [ 0.68097260340, -0.01968437246, 0.49475555678],
10618  [ 0.42086421431, 0.42283845042, -0.57926989555],
10619  [ 0.68097260340, -0.01968437246, -0.49475555678],
10620  [ 0.84172842862, -0.53990115064, 0.00000000000],
10621  [-0.00000000000, 0.69633259576, -0.44252282288],
10622  [ 0.68097260340, -0.53990115064, 0.49475555678],
10623  [-0.00000000000, 0.42283845042, 0.71601696822],
10624  [ 0.26010838909, -0.01968437246, 0.80053130699],
10625  [ 0.68097260340, -0.53990115064, -0.49475555678],
10626  [-0.26010838909, 0.69633259576, 0.35800848411],
10627  [ 0.26010838909, -0.01968437246, -0.80053130699],
10628  [-0.42086421431, 0.69633259576, -0.13674707267],
10629  [ 0.26010838909, -0.53990115064, 0.80053130699],
10630  [ 0.26010838909, -0.53990115064, -0.80053130699],
10631  [-0.26010838909, -0.01968437246, 0.80053130699],
10632  [-0.42086421431, 0.42283845042, -0.57926989555],
10633  [-0.26010838909, -0.01968437246, -0.80053130699],
10634  [-0.68097260340, 0.42283845042, 0.22126141144],
10635  [-0.26010838909, -0.53990115064, 0.80053130699],
10636  [-0.68097260340, -0.01968437246, 0.49475555678],
10637  [-0.26010838909, -0.53990115064, -0.80053130699],
10638  [-0.68097260340, -0.01968437246, -0.49475555678],
10639  [-0.84172842862, -0.01968437246, -0.00000000000],
10640  [-0.68097260340, -0.53990115064, 0.49475555678],
10641  [-0.68097260340, -0.53990115064, -0.49475555678],
10642  [-0.84172842862, -0.53990115064, -0.00000000000]
10643  ],
10644  [
10645  [0.83154834732, 31.83751590051, 74.56864717223],
10646  [0.82504880625, 58.85118673122, 99.54047056804],
10647  [0.84195856315, -1.33965527789, 89.99999999999],
10648  [0.82504880625, 69.51730608160, 64.28315347175],
10649  [0.84195856315, -1.65574574906, 54.01137741034],
10650  [0.83154834732, 45.13406996974, 134.15613296486],
10651  [0.84195856315, -1.65574574906, 125.98862258965],
10652  [1.00000000000, -32.67690999588, 89.99999999999],
10653  [0.82504880625, 89.99999999999, 122.43616115368],
10654  [1.00000000000, -38.40872777727, 60.34636723232],
10655  [0.83154834732, 89.99999999999, 30.56365623923],
10656  [0.84195856315, -4.32775647929, 18.04813673204],
10657  [1.00000000000, -38.40872777727, 119.65363276766],
10658  [0.82504880625, 110.48269391840, 64.28315347176],
10659  [0.84195856315, -4.32775647929, 161.95186326793],
10660  [0.82504880625, 121.14881326877, 99.54047056805],
10661  [1.00000000000, -64.27660964891, 36.81913157227],
10662  [1.00000000000, -64.27660964889, 143.18086842771],
10663  [0.84195856315, -175.67224352070, 18.04813673206],
10664  [0.83154834732, 134.86593003026, 134.15613296486],
10665  [0.84195856315, -175.67224352067, 161.95186326795],
10666  [0.83154834732, 148.16248409948, 74.56864717223],
10667  [1.00000000000, -115.72339035110, 36.81913157227],
10668  [0.84195856315, -178.34425425092, 54.01137741034],
10669  [1.00000000000, -115.72339035107, 143.18086842772],
10670  [0.84195856315, -178.34425425092, 125.98862258965],
10671  [0.84195856315, -178.66034472209, 89.99999999999],
10672  [1.00000000000, -141.59127222271, 60.34636723233],
10673  [1.00000000000, -141.59127222271, 119.65363276766],
10674  [1.00000000000, -147.32309000410, 90.00000000001]
10675  ],
10676  [
10677  [28,29,27,22,16,9,7,12,17,24],
10678  [1,3,13,15,8],
10679  [19,20,14,5,8],
10680  [15,19,8],
10681  [25,20,19],
10682  [21,26,25,19,15],
10683  [13,21,15],
10684  [23,26,21],
10685  [10,18,23,21,13],
10686  [3,10,13],
10687  [11,18,10],
10688  [0,4,11,10,3],
10689  [1,0,3],
10690  [2,4,0],
10691  [5,6,2,0,1],
10692  [8,5,1],
10693  [14,6,5],
10694  [4,9,16,11],
10695  [2,7,9,4],
10696  [6,12,7,2],
10697  [14,17,12,6],
10698  [20,24,17,14],
10699  [25,28,24,20],
10700  [26,29,28,25],
10701  [23,27,29,26],
10702  [18,22,27,23],
10703  [11,16,22,18]
10704  ],
10705  [
10706  [0,1],
10707  [0,2],
10708  [0,3],
10709  [0,4],
10710  [1,3],
10711  [1,5],
10712  [1,8],
10713  [2,4],
10714  [2,6],
10715  [2,7],
10716  [3,10],
10717  [3,13],
10718  [4,9],
10719  [4,11],
10720  [5,6],
10721  [5,8],
10722  [5,14],
10723  [6,12],
10724  [6,14],
10725  [7,9],
10726  [7,12],
10727  [8,15],
10728  [8,19],
10729  [9,16],
10730  [10,11],
10731  [10,13],
10732  [10,18],
10733  [11,16],
10734  [11,18],
10735  [12,17],
10736  [13,15],
10737  [13,21],
10738  [14,17],
10739  [14,20],
10740  [15,19],
10741  [15,21],
10742  [16,22],
10743  [17,24],
10744  [18,22],
10745  [18,23],
10746  [19,20],
10747  [19,25],
10748  [20,24],
10749  [20,25],
10750  [21,23],
10751  [21,26],
10752  [22,27],
10753  [23,26],
10754  [23,27],
10755  [24,28],
10756  [25,26],
10757  [25,28],
10758  [26,29],
10759  [27,29],
10760  [28,29]
10761  ]
10762  ],
10763  [
10764  "johnson_elongated_square_cupola",
10765  "Elongated Square Cupola",
10766  "J19",
10767  "johnson",
10768  "Polyhedron Database #63",
10769  [
10770  [-0.33282985348, 0.17212538424, 0.80352234624],
10771  [-0.33282985348, 0.64281787700, 0.33282985348],
10772  [-0.80352234624, 0.17212538424, 0.33282985348],
10773  [ 0.33282985348, 0.17212538424, 0.80352234624],
10774  [-0.33282985348, -0.49353432273, 0.80352234624],
10775  [ 0.33282985348, 0.64281787700, 0.33282985348],
10776  [-0.80352234624, -0.49353432273, 0.33282985348],
10777  [-0.33282985348, 0.64281787700, -0.33282985348],
10778  [-0.80352234624, 0.17212538424, -0.33282985348],
10779  [ 0.33282985348, -0.49353432273, 0.80352234624],
10780  [ 0.33282985348, 0.64281787700, -0.33282985348],
10781  [-0.80352234624, -0.49353432273, -0.33282985348],
10782  [ 0.80352234624, 0.17212538424, 0.33282985348],
10783  [-0.33282985348, 0.17212538424, -0.80352234624],
10784  [ 0.80352234624, -0.49353432273, 0.33282985348],
10785  [ 0.80352234624, 0.17212538424, -0.33282985348],
10786  [ 0.33282985348, 0.17212538424, -0.80352234624],
10787  [-0.33282985348, -0.49353432273, -0.80352234624],
10788  [ 0.80352234624, -0.49353432273, -0.33282985348],
10789  [ 0.33282985348, -0.49353432273, -0.80352234624]
10790  ],
10791  [
10792  [0.88659518394, 152.65392550023, 25.00088274745],
10793  [0.79672218855, 117.37362787137, 65.30744968158],
10794  [0.88659518394, 167.90919548879, 67.95082162559],
10795  [0.88659518394, 27.34607449974, 25.00088274746],
10796  [1.00000000000, -123.99495287766, 36.53220956805],
10797  [0.79672218855, 62.62637212861, 65.30744968159],
10798  [1.00000000000, -148.44118967741, 70.55937362985],
10799  [0.79672218855, 117.37362787138, 114.69255031840],
10800  [0.88659518394, 167.90919548879, 112.04917837437],
10801  [1.00000000000, -56.00504712230, 36.53220956806],
10802  [0.79672218855, 62.62637212862, 114.69255031841],
10803  [1.00000000000, -148.44118967742, 109.44062637012],
10804  [0.88659518394, 12.09080451120, 67.95082162561],
10805  [0.88659518394, 152.65392550025, 154.99911725252],
10806  [1.00000000000, -31.55881032258, 70.55937362987],
10807  [0.88659518394, 12.09080451120, 112.04917837440],
10808  [0.88659518394, 27.34607449977, 154.99911725255],
10809  [1.00000000000, -123.99495287769, 143.46779043193],
10810  [1.00000000000, -31.55881032258, 109.44062637014],
10811  [1.00000000000, -56.00504712233, 143.46779043193]
10812  ],
10813  [
10814  [19,17,11,6,4,9,14,18],
10815  [0,4,6,2],
10816  [3,9,4,0],
10817  [12,14,9,3],
10818  [15,18,14,12],
10819  [16,19,18,15],
10820  [13,17,19,16],
10821  [8,11,17,13],
10822  [2,6,11,8],
10823  [1,7,10,5],
10824  [15,12,5,10],
10825  [16,15,10],
10826  [13,16,10,7],
10827  [8,13,7],
10828  [2,8,7,1],
10829  [0,2,1],
10830  [3,0,1,5],
10831  [12,3,5]
10832  ],
10833  [
10834  [0,1],
10835  [0,2],
10836  [0,3],
10837  [0,4],
10838  [1,2],
10839  [1,5],
10840  [1,7],
10841  [2,6],
10842  [2,8],
10843  [3,5],
10844  [3,9],
10845  [3,12],
10846  [4,6],
10847  [4,9],
10848  [5,10],
10849  [5,12],
10850  [6,11],
10851  [7,8],
10852  [7,10],
10853  [7,13],
10854  [8,11],
10855  [8,13],
10856  [9,14],
10857  [10,15],
10858  [10,16],
10859  [11,17],
10860  [12,14],
10861  [12,15],
10862  [13,16],
10863  [13,17],
10864  [14,18],
10865  [15,16],
10866  [15,18],
10867  [16,19],
10868  [17,19],
10869  [18,19]
10870  ]
10871  ],
10872  [
10873  "johnson_elongated_square_dipyramid",
10874  "Elongated Square Dipyramid",
10875  "J15",
10876  "johnson",
10877  "Polyhedron Database #59",
10878  [
10879  [-0.41421356237, 0.41421356237, -0.41421356237],
10880  [-0.41421356237, 0.41421356237, 0.41421356237],
10881  [ 0.00000000000, 1.00000000000, 0.00000000000],
10882  [-0.41421356237, -0.41421356237, -0.41421356237],
10883  [-0.41421356237, -0.41421356237, 0.41421356237],
10884  [ 0.41421356237, 0.41421356237, -0.41421356237],
10885  [ 0.41421356237, 0.41421356237, 0.41421356237],
10886  [-0.00000000000, -1.00000000000, 0.00000000000],
10887  [ 0.41421356237, -0.41421356237, -0.41421356237],
10888  [ 0.41421356237, -0.41421356237, 0.41421356237]
10889  ],
10890  [
10891  [0.71743893521, 134.99999999999, 125.26438968275],
10892  [0.71743893521, 134.99999999999, 54.73561031724],
10893  [1.00000000000, 89.99999999999, 89.99999999999],
10894  [0.71743893521, -134.99999999999, 125.26438968275],
10895  [0.71743893521, -134.99999999999, 54.73561031724],
10896  [0.71743893521, 45.00000000000, 125.26438968275],
10897  [0.71743893521, 45.00000000000, 54.73561031724],
10898  [1.00000000000, -89.99999999999, 89.99999999999],
10899  [0.71743893521, -45.00000000000, 125.26438968275],
10900  [0.71743893521, -45.00000000000, 54.73561031724]
10901  ],
10902  [
10903  [6,5,8,9],
10904  [7,9,8],
10905  [2,5,6],
10906  [5,0,3,8],
10907  [7,8,3],
10908  [2,0,5],
10909  [0,1,4,3],
10910  [7,3,4],
10911  [2,1,0],
10912  [1,6,9,4],
10913  [7,4,9],
10914  [2,6,1]
10915  ],
10916  [
10917  [0,1],
10918  [0,2],
10919  [0,3],
10920  [0,5],
10921  [1,2],
10922  [1,4],
10923  [1,6],
10924  [2,5],
10925  [2,6],
10926  [3,4],
10927  [3,7],
10928  [3,8],
10929  [4,7],
10930  [4,9],
10931  [5,6],
10932  [5,8],
10933  [6,9],
10934  [7,8],
10935  [7,9],
10936  [8,9]
10937  ]
10938  ],
10939  [
10940  "johnson_elongated_square_gyrobicupola",
10941  "Elongated Square Gyrobicupola",
10942  "J37",
10943  "johnson",
10944  "George W. Hart, Jan 1996. george@li.net",
10945  [
10946  [-0.86285600000, 0.35740700000, 0.35740700000],
10947  [-0.86285600000, 0.35740700000, -0.35740700000],
10948  [-0.35740700000, 0.35740700000, 0.86285600000],
10949  [-0.35740700000, 0.86285600000, 0.35740700000],
10950  [-0.35740700000, 0.86285600000, -0.35740700000],
10951  [-0.35740700000, 0.35740700000, -0.86285600000],
10952  [ 0.35740700000, 0.35740700000, 0.86285600000],
10953  [ 0.35740700000, 0.86285600000, 0.35740700000],
10954  [ 0.35740700000, 0.86285600000, -0.35740700000],
10955  [ 0.35740700000, 0.35740700000, -0.86285600000],
10956  [ 0.86285600000, 0.35740700000, 0.35740700000],
10957  [ 0.86285600000, 0.35740700000, -0.35740700000],
10958  [ 0.86285600000, -0.35740700000, 0.35740700000],
10959  [ 0.86285600000, -0.35740700000, -0.35740700000],
10960  [ 0.35740700000, -0.35740700000, 0.86285600000],
10961  [ 0.50544900000, -0.86285600000, 0.00000000000],
10962  [ 0.35740700000, -0.35740700000, -0.86285600000],
10963  [ 0.00000000000, -0.86285600000, 0.50544900000],
10964  [ 0.00000000000, -0.86285600000, -0.50544900000],
10965  [-0.35740700000, -0.35740700000, 0.86285600000],
10966  [-0.50544900000, -0.86285600000, 0.00000000000],
10967  [-0.35740700000, -0.35740700000, -0.86285600000],
10968  [-0.86285600000, -0.35740700000, 0.35740700000],
10969  [-0.86285600000, -0.35740700000, -0.35740700000]
10970  ],
10971  [
10972  [1.00000000202, 157.49998059201, 69.05896388757],
10973  [1.00000000202, 157.49998059201, 110.94103611242],
10974  [1.00000000202, 134.99999999999, 30.36121734578],
10975  [1.00000000202, 112.50001940798, 69.05896388757],
10976  [1.00000000202, 112.50001940798, 110.94103611242],
10977  [1.00000000202, 134.99999999999, 149.63878265421],
10978  [1.00000000202, 45.00000000000, 30.36121734578],
10979  [1.00000000202, 67.49998059201, 69.05896388757],
10980  [1.00000000202, 67.49998059201, 110.94103611242],
10981  [1.00000000202, 45.00000000000, 149.63878265421],
10982  [1.00000000202, 22.50001940798, 69.05896388757],
10983  [1.00000000202, 22.50001940798, 110.94103611242],
10984  [1.00000000202, -22.50001940798, 69.05896388757],
10985  [1.00000000202, -22.50001940798, 110.94103611242],
10986  [1.00000000202, -45.00000000000, 30.36121734578],
10987  [0.99999958417, -59.63882352400, 89.99999999999],
10988  [1.00000000202, -45.00000000000, 149.63878265421],
10989  [0.99999958417, -89.99999999999, 59.63882352400],
10990  [0.99999958417, -89.99999999999, 120.36117647599],
10991  [1.00000000202, -134.99999999999, 30.36121734578],
10992  [0.99999958417, -120.36117647599, 89.99999999999],
10993  [1.00000000202, -134.99999999999, 149.63878265421],
10994  [1.00000000202, -157.49998059201, 69.05896388757],
10995  [1.00000000202, -157.49998059201, 110.94103611242]
10996  ],
10997  [
10998  [0,3,2],
10999  [1,5,4],
11000  [6,7,10],
11001  [8,9,11],
11002  [12,13,15],
11003  [14,17,19],
11004  [16,21,18],
11005  [20,23,22],
11006  [0,1,4,3],
11007  [2,3,7,6],
11008  [3,4,8,7],
11009  [4,5,9,8],
11010  [7,8,11,10],
11011  [12,15,17,14],
11012  [13,16,18,15],
11013  [15,18,20,17],
11014  [17,20,22,19],
11015  [18,21,23,20],
11016  [0,2,19,22],
11017  [2,6,14,19],
11018  [6,10,12,14],
11019  [10,11,13,12],
11020  [9,16,13,11],
11021  [5,21,16,9],
11022  [1,23,21,5],
11023  [0,22,23,1]
11024  ],
11025  [
11026  [0,1],
11027  [0,2],
11028  [0,3],
11029  [0,22],
11030  [1,4],
11031  [1,5],
11032  [1,23],
11033  [2,3],
11034  [2,6],
11035  [2,19],
11036  [3,4],
11037  [3,7],
11038  [4,5],
11039  [4,8],
11040  [5,9],
11041  [5,21],
11042  [6,7],
11043  [6,10],
11044  [6,14],
11045  [7,8],
11046  [7,10],
11047  [8,9],
11048  [8,11],
11049  [9,11],
11050  [9,16],
11051  [10,11],
11052  [10,12],
11053  [11,13],
11054  [12,13],
11055  [12,14],
11056  [12,15],
11057  [13,15],
11058  [13,16],
11059  [14,17],
11060  [14,19],
11061  [15,17],
11062  [15,18],
11063  [16,18],
11064  [16,21],
11065  [17,19],
11066  [17,20],
11067  [18,20],
11068  [18,21],
11069  [19,22],
11070  [20,22],
11071  [20,23],
11072  [21,23],
11073  [22,23]
11074  ]
11075  ],
11076  [
11077  "johnson_elongated_square_pyramid",
11078  "Elongated Square Pyramid",
11079  "J8",
11080  "johnson",
11081  "Polyhedron Database #52",
11082  [
11083  [ 0.46599025767, -0.59099025767, -0.46599025767],
11084  [ 0.46599025767, -0.59099025767, 0.46599025767],
11085  [-0.46599025767, -0.59099025767, -0.46599025767],
11086  [-0.46599025767, -0.59099025767, 0.46599025767],
11087  [ 0.46599025767, 0.34099025767, -0.46599025767],
11088  [ 0.46599025767, 0.34099025767, 0.46599025767],
11089  [-0.46599025767, 0.34099025767, -0.46599025767],
11090  [-0.46599025767, 0.34099025767, 0.46599025767],
11091  [-0.00000000000, 1.00000000000, 0.00000000000]
11092  ],
11093  [
11094  [0.88519112351, -51.74455319034, 121.76449119291],
11095  [0.88519112351, -51.74455319034, 58.23550880708],
11096  [0.88519112351, -128.25544680965, 121.76449119291],
11097  [0.88519112351, -128.25544680965, 58.23550880708],
11098  [0.74200282770, 36.19495113046, 128.90395833721],
11099  [0.74200282770, 36.19495113046, 51.09604166278],
11100  [0.74200282770, 143.80504886953, 128.90395833721],
11101  [0.74200282770, 143.80504886953, 51.09604166278],
11102  [1.00000000000, 89.99999999999, 89.99999999999]
11103  ],
11104  [
11105  [0,2,3,1],
11106  [5,1,3,7],
11107  [5,7,8],
11108  [4,0,1,5],
11109  [4,5,8],
11110  [6,2,0,4],
11111  [6,4,8],
11112  [7,3,2,6],
11113  [7,6,8]
11114  ],
11115  [
11116  [0,1],
11117  [0,2],
11118  [0,4],
11119  [1,3],
11120  [1,5],
11121  [2,3],
11122  [2,6],
11123  [3,7],
11124  [4,5],
11125  [4,6],
11126  [4,8],
11127  [5,7],
11128  [5,8],
11129  [6,7],
11130  [6,8],
11131  [7,8]
11132  ]
11133  ],
11134  [
11135  "johnson_elongated_triangular_cupola",
11136  "Elongated Triangular Cupola",
11137  "J18",
11138  "johnson",
11139  "Polyhedron Database #62",
11140  [
11141  [-0.39744851381, 0.18815267000, 0.68840101930],
11142  [ 0.39744851381, 0.18815267000, 0.68840101930],
11143  [-0.39744851381, 0.83718337523, 0.22946700643],
11144  [-0.39744851381, -0.60674435761, 0.68840101930],
11145  [ 0.39744851381, 0.83718337523, 0.22946700643],
11146  [ 0.39744851381, -0.60674435761, 0.68840101930],
11147  [-0.79489702761, 0.18815267000, -0.00000000000],
11148  [-0.79489702761, -0.60674435761, 0.00000000000],
11149  [ 0.79489702761, 0.18815267000, -0.00000000000],
11150  [ 0.00000000000, 0.83718337523, -0.45893401287],
11151  [ 0.79489702761, -0.60674435761, 0.00000000000],
11152  [-0.39744851381, 0.18815267000, -0.68840101930],
11153  [ 0.39744851381, 0.18815267000, -0.68840101930],
11154  [-0.39744851381, -0.60674435761, -0.68840101930],
11155  [ 0.39744851381, -0.60674435761, -0.68840101930]
11156  ],
11157  [
11158  [0.81686150095, 154.66706138696, 32.56951168616],
11159  [0.81686150095, 25.33293861303, 32.56951168616],
11160  [0.95472322268, 115.39579012297, 76.09284596359],
11161  [1.00000000000, -123.22684459476, 46.49633140652],
11162  [0.95472322268, 64.60420987700, 76.09284596359],
11163  [1.00000000000, -56.77315540524, 46.49633140652],
11164  [0.81686150095, 166.68314145253, 89.99999999999],
11165  [1.00000000000, -142.64553072758, 89.99999999999],
11166  [0.81686150095, 13.31685854744, 89.99999999999],
11167  [0.95472322268, 89.99999999999, 118.73103152952],
11168  [1.00000000000, -37.35446927244, 89.99999999999],
11169  [0.81686150095, 154.66706138695, 147.43048831383],
11170  [0.81686150095, 25.33293861300, 147.43048831382],
11171  [1.00000000000, -123.22684459476, 133.50366859346],
11172  [1.00000000000, -56.77315540525, 133.50366859346]
11173  ],
11174  [
11175  [13,7,3,5,10,14],
11176  [1,5,3,0],
11177  [8,10,5,1],
11178  [12,14,10,8],
11179  [11,13,14,12],
11180  [6,7,13,11],
11181  [0,3,7,6],
11182  [2,9,4],
11183  [12,8,4,9],
11184  [11,12,9],
11185  [6,11,9,2],
11186  [0,6,2],
11187  [1,0,2,4],
11188  [8,1,4]
11189  ],
11190  [
11191  [0,1],
11192  [0,2],
11193  [0,3],
11194  [0,6],
11195  [1,4],
11196  [1,5],
11197  [1,8],
11198  [2,4],
11199  [2,6],
11200  [2,9],
11201  [3,5],
11202  [3,7],
11203  [4,8],
11204  [4,9],
11205  [5,10],
11206  [6,7],
11207  [6,11],
11208  [7,13],
11209  [8,10],
11210  [8,12],
11211  [9,11],
11212  [9,12],
11213  [10,14],
11214  [11,12],
11215  [11,13],
11216  [12,14],
11217  [13,14]
11218  ]
11219  ],
11220  [
11221  "johnson_elongated_triangular_dipyramid",
11222  "Elongated Triangular Dipyramid",
11223  "J14",
11224  "johnson",
11225  "Polyhedron Database #58",
11226  [
11227  [-0.37979589711, 0.37979589711, 0.21927526344],
11228  [ 0.00000000000, 1.00000000000, 0.00000000000],
11229  [-0.37979589711, -0.37979589711, 0.21927526344],
11230  [-0.00000000000, 0.37979589711, -0.43855052687],
11231  [ 0.00000000000, -0.37979589711, -0.43855052687],
11232  [ 0.37979589711, 0.37979589711, 0.21927526344],
11233  [-0.00000000000, -1.00000000000, 0.00000000000],
11234  [ 0.37979589711, -0.37979589711, 0.21927526344]
11235  ],
11236  [
11237  [0.58014781572, 134.99999999999, 67.79234570140],
11238  [1.00000000000, 89.99999999999, 89.99999999999],
11239  [0.58014781572, -134.99999999999, 67.79234570140],
11240  [0.58014781572, 89.99999999999, 139.10660535086],
11241  [0.58014781572, -89.99999999999, 139.10660535086],
11242  [0.58014781572, 45.00000000000, 67.79234570140],
11243  [1.00000000000, -89.99999999999, 89.99999999999],
11244  [0.58014781572, -45.00000000000, 67.79234570140]
11245  ],
11246  [
11247  [5,3,4,7],
11248  [6,7,4],
11249  [1,3,5],
11250  [3,0,2,4],
11251  [6,4,2],
11252  [1,0,3],
11253  [0,5,7,2],
11254  [6,2,7],
11255  [1,5,0]
11256  ],
11257  [
11258  [0,1],
11259  [0,2],
11260  [0,3],
11261  [0,5],
11262  [1,3],
11263  [1,5],
11264  [2,4],
11265  [2,6],
11266  [2,7],
11267  [3,4],
11268  [3,5],
11269  [4,6],
11270  [4,7],
11271  [5,7],
11272  [6,7]
11273  ]
11274  ],
11275  [
11276  "johnson_elongated_triangular_gyrobicupola",
11277  "Elongated Triangular gyrobicupola",
11278  "J36",
11279  "johnson",
11280  "Polyhedron Database #80",
11281  [
11282  [-0.69563696953, 0.34781848477, -0.00000000000],
11283  [-0.69563696953, -0.34781848477, -0.00000000000],
11284  [-0.34781848477, 0.34781848477, 0.60243928743],
11285  [-0.34781848477, 0.91580369196, 0.20081309581],
11286  [-0.34781848477, -0.34781848477, 0.60243928743],
11287  [-0.34781848477, 0.34781848477, -0.60243928743],
11288  [-0.34781848477, -0.91580369196, -0.20081309581],
11289  [-0.34781848477, -0.34781848477, -0.60243928743],
11290  [ 0.00000000000, -0.91580369196, 0.40162619162],
11291  [-0.00000000000, 0.91580369196, -0.40162619162],
11292  [ 0.34781848477, 0.34781848477, 0.60243928743],
11293  [ 0.34781848477, 0.91580369196, 0.20081309581],
11294  [ 0.34781848477, -0.34781848477, 0.60243928743],
11295  [ 0.34781848477, 0.34781848477, -0.60243928743],
11296  [ 0.34781848477, -0.91580369196, -0.20081309581],
11297  [ 0.34781848477, -0.34781848477, -0.60243928743],
11298  [ 0.69563696953, 0.34781848477, 0.00000000000],
11299  [ 0.69563696953, -0.34781848477, 0.00000000000]
11300  ],
11301  [
11302  [0.77774577577, 153.43494882292, 90.00000000000],
11303  [0.77774577577, -153.43494882291, 89.99999999999],
11304  [0.77774577577, 135.00000000002, 39.23152048360],
11305  [1.00000000000, 110.79657166067, 78.41548931875],
11306  [0.77774577577, -135.00000000000, 39.23152048359],
11307  [0.77774577577, 134.99999999998, 140.76847951640],
11308  [1.00000000000, -110.79657166066, 101.58451068125],
11309  [0.77774577577, -134.99999999997, 140.76847951640],
11310  [1.00000000000, -89.99999999999, 66.32012099849],
11311  [1.00000000000, 89.99999999999, 113.67987900150],
11312  [0.77774577577, 45.00000000001, 39.23152048359],
11313  [1.00000000000, 69.20342833933, 78.41548931874],
11314  [0.77774577577, -45.00000000001, 39.23152048359],
11315  [0.77774577577, 44.99999999999, 140.76847951639],
11316  [1.00000000000, -69.20342833932, 101.58451068124],
11317  [0.77774577577, -44.99999999997, 140.76847951639],
11318  [0.77774577577, 26.56505117708, 89.99999999999],
11319  [0.77774577577, -26.56505117707, 89.99999999999]
11320  ],
11321  [
11322  [9,11,3],
11323  [10,2,3,11],
11324  [16,10,11],
11325  [13,16,11,9],
11326  [5,13,9],
11327  [0,5,9,3],
11328  [2,0,3],
11329  [6,8,14],
11330  [12,17,14,8],
11331  [4,12,8],
11332  [1,4,8,6],
11333  [7,1,6],
11334  [15,7,6,14],
11335  [17,15,14],
11336  [0,1,7,5],
11337  [2,4,1,0],
11338  [10,12,4,2],
11339  [16,17,12,10],
11340  [13,15,17,16],
11341  [5,7,15,13]
11342  ],
11343  [
11344  [0,1],
11345  [0,2],
11346  [0,3],
11347  [0,5],
11348  [1,4],
11349  [1,6],
11350  [1,7],
11351  [2,3],
11352  [2,4],
11353  [2,10],
11354  [3,9],
11355  [3,11],
11356  [4,8],
11357  [4,12],
11358  [5,7],
11359  [5,9],
11360  [5,13],
11361  [6,7],
11362  [6,8],
11363  [6,14],
11364  [7,15],
11365  [8,12],
11366  [8,14],
11367  [9,11],
11368  [9,13],
11369  [10,11],
11370  [10,12],
11371  [10,16],
11372  [11,16],
11373  [12,17],
11374  [13,15],
11375  [13,16],
11376  [14,15],
11377  [14,17],
11378  [15,17],
11379  [16,17]
11380  ]
11381  ],
11382  [
11383  "johnson_elongated_triangular_orthobicupola",
11384  "Elongated Triangular Orthobicupola",
11385  "J35",
11386  "johnson",
11387  "Polyhedron Database #79",
11388  [
11389  [-0.34781848477, -0.00000000000, 0.69563696953],
11390  [-0.91580369196, -0.20081309581, 0.34781848477],
11391  [-0.34781848477, -0.60243928743, 0.34781848477],
11392  [ 0.34781848477, 0.00000000000, 0.69563696953],
11393  [-0.34781848477, 0.60243928743, 0.34781848477],
11394  [-0.91580369196, 0.40162619162, 0.00000000000],
11395  [ 0.34781848477, -0.60243928743, 0.34781848477],
11396  [ 0.34781848477, 0.60243928743, 0.34781848477],
11397  [-0.91580369196, -0.20081309581, -0.34781848477],
11398  [ 0.91580369196, -0.20081309581, 0.34781848477],
11399  [-0.34781848477, -0.60243928743, -0.34781848477],
11400  [-0.34781848477, 0.60243928743, -0.34781848477],
11401  [ 0.91580369196, 0.40162619162, 0.00000000000],
11402  [ 0.34781848477, -0.60243928743, -0.34781848477],
11403  [-0.34781848477, -0.00000000000, -0.69563696953],
11404  [ 0.34781848477, 0.60243928743, -0.34781848477],
11405  [ 0.91580369196, -0.20081309581, -0.34781848477],
11406  [ 0.34781848477, 0.00000000000, -0.69563696953]
11407  ],
11408  [
11409  [0.77774577577, -179.99999999997, 26.56505117707],
11410  [1.00000000000, -167.63219484137, 69.64605818337],
11411  [0.77774577577, -119.99999999999, 63.43494882292],
11412  [0.77774577577, 0.00000000002, 26.56505117708],
11413  [0.77774577577, 119.99999999999, 63.43494882292],
11414  [1.00000000000, 156.32012099849, 89.99999999999],
11415  [0.77774577577, -60.00000000000, 63.43494882291],
11416  [0.77774577577, 60.00000000000, 63.43494882292],
11417  [1.00000000000, -167.63219484136, 110.35394181662],
11418  [1.00000000000, -12.36780515862, 69.64605818337],
11419  [0.77774577577, -119.99999999999, 116.56505117707],
11420  [0.77774577577, 119.99999999999, 116.56505117707],
11421  [1.00000000000, 23.67987900150, 89.99999999999],
11422  [0.77774577577, -60.00000000000, 116.56505117707],
11423  [0.77774577577, -179.99999999997, 153.43494882291],
11424  [0.77774577577, 60.00000000000, 116.56505117707],
11425  [1.00000000000, -12.36780515862, 110.35394181661],
11426  [0.77774577577, 0.00000000002, 153.43494882292]
11427  ],
11428  [
11429  [12,16,9],
11430  [13,6,9,16],
11431  [17,13,16],
11432  [15,17,16,12],
11433  [7,15,12],
11434  [3,7,12,9],
11435  [6,3,9],
11436  [5,1,8],
11437  [2,10,8,1],
11438  [0,2,1],
11439  [4,0,1,5],
11440  [11,4,5],
11441  [14,11,5,8],
11442  [10,14,8],
11443  [3,0,4,7],
11444  [6,2,0,3],
11445  [13,10,2,6],
11446  [17,14,10,13],
11447  [15,11,14,17],
11448  [7,4,11,15]
11449  ],
11450  [
11451  [0,1],
11452  [0,2],
11453  [0,3],
11454  [0,4],
11455  [1,2],
11456  [1,5],
11457  [1,8],
11458  [2,6],
11459  [2,10],
11460  [3,6],
11461  [3,7],
11462  [3,9],
11463  [4,5],
11464  [4,7],
11465  [4,11],
11466  [5,8],
11467  [5,11],
11468  [6,9],
11469  [6,13],
11470  [7,12],
11471  [7,15],
11472  [8,10],
11473  [8,14],
11474  [9,12],
11475  [9,16],
11476  [10,13],
11477  [10,14],
11478  [11,14],
11479  [11,15],
11480  [12,15],
11481  [12,16],
11482  [13,16],
11483  [13,17],
11484  [14,17],
11485  [15,17],
11486  [16,17]
11487  ]
11488  ],
11489  [
11490  "johnson_elongated_triangular_pyramid",
11491  "Elongated Triangular Pyramid",
11492  "J7",
11493  "johnson",
11494  "Polyhedron Database #51",
11495  [
11496  [ 0.00000000000, -0.60976187997, -0.51164228135],
11497  [ 0.00000000000, 0.27642854663, -0.51164228135],
11498  [ 0.44309521330, -0.60976187997, 0.25582114067],
11499  [ 0.44309521330, 0.27642854663, 0.25582114067],
11500  [-0.44309521330, -0.60976187997, 0.25582114067],
11501  [ 0.00000000000, 1.00000000000, 0.00000000000],
11502  [-0.44309521330, 0.27642854663, 0.25582114067]
11503  ],
11504  [
11505  [0.79598201884, -89.99999999999, 129.99952097856],
11506  [0.58154154233, 89.99999999999, 151.61866820813],
11507  [0.79598201884, -53.99524781249, 71.25295650495],
11508  [0.58154154233, 31.95831192805, 63.90238759393],
11509  [0.79598201884, -126.00475218750, 71.25295650495],
11510  [1.00000000000, 89.99999999999, 89.99999999999],
11511  [0.58154154233, 148.04168807192, 63.90238759393]
11512  ],
11513  [
11514  [4,2,0],
11515  [1,0,2,3],
11516  [1,3,5],
11517  [6,4,0,1],
11518  [6,1,5],
11519  [3,2,4,6],
11520  [3,6,5]
11521  ],
11522  [
11523  [0,1],
11524  [0,2],
11525  [0,4],
11526  [1,3],
11527  [1,5],
11528  [1,6],
11529  [2,3],
11530  [2,4],
11531  [3,5],
11532  [3,6],
11533  [4,6],
11534  [5,6]
11535  ]
11536  ],
11537  [
11538  "johnson_gyrate_bidiminished_rhombicosidodecahedron",
11539  "Gyrate Bidiminished Rhombicosidodecahedron",
11540  "J82",
11541  "johnson",
11542  "Polyhedron Database #126",
11543  [
11544  [-0.79612575929, -0.11336310844, 0.25867693987],
11545  [-0.66947058787, 0.23528866771, 0.43300282795],
11546  [-0.59119338708, -0.32884175635, 0.54074215190],
11547  [-0.46453821566, 0.01981001981, 0.71506803998],
11548  [-0.83113238770, 0.07936685332, -0.10134917936],
11549  [-0.79612575929, -0.32884175635, -0.08997483629],
11550  [-0.70447721628, 0.42801862948, 0.07297670872],
11551  [-0.46453821566, -0.67749353251, 0.36641626382],
11552  [-0.25960584345, -0.32884175635, 0.78165460411],
11553  [-0.46453821566, 0.58394044387, 0.36641626382],
11554  [-0.59119338708, -0.67749353251, -0.02338827216],
11555  [-0.13295067202, 0.23528866771, 0.82280736393],
11556  [-0.70447721628, 0.07936685332, -0.49115371534],
11557  [-0.66947058787, -0.32884175635, -0.47977937227],
11558  [-0.13295067202, -0.67749353251, 0.60732871603],
11559  [-0.13295067202, 0.58394044387, 0.60732871603],
11560  [-0.49954484407, 0.64349727738, -0.20908850331],
11561  [ 0.07198170019, -0.11336310845, 0.88939392806],
11562  [-0.46453821566, -0.67749353251, -0.41319280814],
11563  [-0.25960584345, 0.79941909177, 0.08435105179],
11564  [-0.49954484407, 0.42801862948, -0.55774027947],
11565  [-0.46453821566, -0.11336310844, -0.76184458430],
11566  [ 0.27691407240, 0.23528866771, 0.82280736393],
11567  [ 0.07198170019, 0.79941909177, 0.32526350400],
11568  [ 0.27691407240, -0.67749353251, 0.60732871603],
11569  [ 0.27691407240, 0.58394044387, 0.60732871603],
11570  [ 0.40356924382, -0.32884175635, 0.78165460411],
11571  [-0.13295067202, 0.79941909177, -0.30545348419],
11572  [-0.25960584345, 0.23528866771, -0.82843114843],
11573  [-0.13295067202, -0.67749353251, -0.65410526035],
11574  [-0.13295067202, 0.58394044387, -0.65410526035],
11575  [-0.13295067202, -0.32884175635, -0.86958390825],
11576  [ 0.60850161603, 0.01981001981, 0.71506803998],
11577  [ 0.40356924382, 0.79941909177, 0.08435105179],
11578  [ 0.60850161603, -0.67749353251, 0.36641626382],
11579  [ 0.27691407240, 0.79941909177, -0.30545348419],
11580  [ 0.60850161603, 0.58394044387, 0.36641626382],
11581  [ 0.73515678745, -0.32884175635, 0.54074215190],
11582  [ 0.07198170019, 0.01981001981, -0.93617047238],
11583  [ 0.27691407240, -0.67749353251, -0.65410526035],
11584  [ 0.27691407240, 0.58394044387, -0.65410526035],
11585  [ 0.81343398824, 0.23528866771, 0.43300282795],
11586  [ 0.27691407240, -0.32884175635, -0.86958390825],
11587  [ 0.73515678745, -0.67749353251, -0.02338827216],
11588  [ 0.60850161603, -0.67749353251, -0.41319280814],
11589  [ 0.40356924382, 0.23528866771, -0.82843114843],
11590  [ 0.94008915966, -0.11336310845, 0.25867693987],
11591  [ 0.60850161603, -0.11336310844, -0.76184458430],
11592  [ 0.94008915966, -0.32884175635, -0.08997483629],
11593  [ 0.81343398824, -0.32884175635, -0.47977937227]
11594  ],
11595  [
11596  [0.84473734272, -171.89593457093, 72.16831812031],
11597  [0.83129000607, 160.63572888912, 58.60866178300],
11598  [0.86605346053, -150.91570823295, 51.36366929030],
11599  [0.85294225625, 177.55812719079, 33.03322781967],
11600  [0.84104209137, 174.54522686018, 96.92120742169],
11601  [0.86605346053, -157.55680376221, 95.96325455843],
11602  [0.82753470952, 148.71842507240, 84.94076100373],
11603  [0.89947435694, -124.43733388196, 65.96045265335],
11604  [0.88685738132, -128.28951171496, 28.19123079339],
11605  [0.83129000607, 128.50306555186, 63.84632162628],
11606  [0.89947435694, -131.10855239305, 91.48998170361],
11607  [0.86605346053, 119.46876936925, 18.18288150231],
11608  [0.86244954505, 173.57212452891, 124.71445327691],
11609  [0.88685738132, -153.83988066566, 122.75093479887],
11610  [0.91952245057, -101.10258355925, 48.66329961924],
11611  [0.85294225625, 102.82637014166, 44.59888890325],
11612  [0.84104209137, 127.82207342079, 104.39506542626],
11613  [0.89947435694, -57.58584792520, 8.58596617930],
11614  [0.91952245057, -124.43733388197, 116.70236456372],
11615  [0.84473734272, 107.99084811856, 84.26919253434],
11616  [0.86244954505, 139.40946233766, 130.29274684595],
11617  [0.89947435694, -166.28592578126, 147.88563501278],
11618  [0.89947435694, 40.35392897533, 23.82767074809],
11619  [0.86605346053, 84.85481947589, 67.94046716716],
11620  [0.95106627497, -67.76853747710, 50.31423441003],
11621  [0.88685738132, 64.62892993778, 46.77934117875],
11622  [0.93914267042, -39.17430281628, 33.66358843717],
11623  [0.86605346053, 99.44238786019, 110.65229588034],
11624  [0.89947435694, 137.81302751516, 157.07521199724],
11625  [0.95106627497, -101.10258355926, 133.45304725996],
11626  [0.88685738132, 102.82637014164, 137.52347354156],
11627  [0.93914267042, -112.01347609137, 157.80958253688],
11628  [0.93914267042, 1.86462905416, 40.41177254627],
11629  [0.89947435694, 63.21407138989, 84.61900031570],
11630  [0.98159695481, -48.07089785435, 68.08159189905],
11631  [0.89947435694, 70.89421531419, 109.85196349555],
11632  [0.91952245057, 43.82002439110, 66.51647291458],
11633  [0.97004869862, -24.09936572679, 56.12118676306],
11634  [0.93914267042, 15.38738952758, 175.44041496423],
11635  [0.98159695481, -67.76853747708, 131.78739646551],
11636  [0.91952245057, 64.62892993780, 135.34512433191],
11637  [0.95106627497, 16.13270043691, 62.91695564466],
11638  [0.97004869862, -49.89963289594, 153.69312390164],
11639  [1.00000000000, -42.66252981734, 91.34017148525],
11640  [1.00000000000, -48.07089785433, 114.40556045558],
11641  [0.95106627497, 30.24301168600, 150.58148371072],
11642  [0.98159695481, -6.87596095408, 74.72057657713],
11643  [0.98159695481, -10.55315342486, 140.90738566729],
11644  [1.00000000000, -19.27975923521, 95.16215944299],
11645  [1.00000000000, -22.01169124502, 118.67099346243]
11646  ],
11647  [
11648  [25,23,33,36],
11649  [15,23,25],
11650  [15,9,19,23],
11651  [23,19,27,35,33],
11652  [19,16,27],
11653  [9,6,16,19],
11654  [27,16,20,30],
11655  [20,28,30],
11656  [20,12,21,28],
11657  [16,6,4,12,20],
11658  [12,13,21],
11659  [4,5,13,12],
11660  [22,11,15,25],
11661  [17,11,22],
11662  [17,8,3,11],
11663  [11,3,1,9,15],
11664  [8,2,3],
11665  [14,7,2,8],
11666  [3,2,0,1],
11667  [1,6,9],
11668  [1,0,4,6],
11669  [2,7,10,5,0],
11670  [0,5,4],
11671  [10,18,13,5],
11672  [32,26,17,22],
11673  [37,26,32],
11674  [37,34,24,26],
11675  [26,24,14,8,17],
11676  [39,29,18,10,7,14,24,34,43,44],
11677  [41,46,37,32],
11678  [36,33,35,40,45,47,49,48,46,41],
11679  [46,48,43,34,37],
11680  [48,49,44,43],
11681  [49,47,42,39,44],
11682  [42,31,29,39],
11683  [27,30,40,35],
11684  [45,38,42,47],
11685  [40,30,28,38,45],
11686  [38,31,42],
11687  [28,21,31,38],
11688  [41,32,22,25,36],
11689  [21,13,18,29,31]
11690  ],
11691  [
11692  [0,1],
11693  [0,2],
11694  [0,4],
11695  [0,5],
11696  [1,3],
11697  [1,6],
11698  [1,9],
11699  [2,3],
11700  [2,7],
11701  [2,8],
11702  [3,8],
11703  [3,11],
11704  [4,5],
11705  [4,6],
11706  [4,12],
11707  [5,10],
11708  [5,13],
11709  [6,9],
11710  [6,16],
11711  [7,10],
11712  [7,14],
11713  [8,14],
11714  [8,17],
11715  [9,15],
11716  [9,19],
11717  [10,18],
11718  [11,15],
11719  [11,17],
11720  [11,22],
11721  [12,13],
11722  [12,20],
11723  [12,21],
11724  [13,18],
11725  [13,21],
11726  [14,24],
11727  [15,23],
11728  [15,25],
11729  [16,19],
11730  [16,20],
11731  [16,27],
11732  [17,22],
11733  [17,26],
11734  [18,29],
11735  [19,23],
11736  [19,27],
11737  [20,28],
11738  [20,30],
11739  [21,28],
11740  [21,31],
11741  [22,25],
11742  [22,32],
11743  [23,25],
11744  [23,33],
11745  [24,26],
11746  [24,34],
11747  [25,36],
11748  [26,32],
11749  [26,37],
11750  [27,30],
11751  [27,35],
11752  [28,30],
11753  [28,38],
11754  [29,31],
11755  [29,39],
11756  [30,40],
11757  [31,38],
11758  [31,42],
11759  [32,37],
11760  [32,41],
11761  [33,35],
11762  [33,36],
11763  [34,37],
11764  [34,43],
11765  [35,40],
11766  [36,41],
11767  [37,46],
11768  [38,42],
11769  [38,45],
11770  [39,42],
11771  [39,44],
11772  [40,45],
11773  [41,46],
11774  [42,47],
11775  [43,44],
11776  [43,48],
11777  [44,49],
11778  [45,47],
11779  [46,48],
11780  [47,49],
11781  [48,49]
11782  ]
11783  ],
11784  [
11785  "johnson_gyrate_rhombicosidodecahedron",
11786  "Gyrate Rhombicosidodecahedron",
11787  "J72",
11788  "johnson",
11789  "Polyhedron Database #116",
11790  [
11791  [-0.22391883643, -0.68915170697, -0.68915174456],
11792  [-0.58622734404, -0.68915176147, -0.42591923920],
11793  [-0.22391886846, -0.30819800523, -0.92459405956],
11794  [-0.81014634819, -0.30819809340, -0.49867491894],
11795  [-0.58622739587, -0.07275572390, -0.80687290726],
11796  [ 0.00000013569, -0.92459402197, -0.38095372899],
11797  [ 0.22391908801, -0.68915165248, -0.68915171731],
11798  [-0.36230837193, -0.92459407647, -0.11772122363],
11799  [ 0.22391905598, -0.30819795073, -0.92459403231],
11800  [-0.72461689934, -0.68915179515, -0.00000007133],
11801  [ 0.00000005183, 0.07275571733, -0.99734971206],
11802  [-0.94853590348, -0.30819812708, -0.07275575108],
11803  [-0.36230847558, 0.30819799866, -0.87962855976],
11804  [-0.94853593552, 0.07275557466, -0.30819806608],
11805  [-0.72461698319, 0.30819794416, -0.61639605440],
11806  [ 0.36230861127, -0.92459398829, -0.11772117954],
11807  [ 0.58622756359, -0.68915161880, -0.42591916786],
11808  [-0.22391886846, -0.92459407647, 0.30819796107],
11809  [ 0.58622751176, -0.07275558124, -0.80687283593],
11810  [-0.58622739587, -0.68915179515, 0.42591911337],
11811  [ 0.36230850761, 0.30819808683, -0.87962851567],
11812  [ 0.22391905598, -0.92459402197, 0.30819798832],
11813  [-0.94853595531, -0.07275581208, 0.30819795066],
11814  [ 0.81014648388, -0.30819789624, -0.49867482036],
11815  [-0.22391900415, 0.68915170040, -0.68915169006],
11816  [-0.94853598734, 0.30819788967, 0.07275563566],
11817  [-0.58622751176, 0.68915164590, -0.42591918470],
11818  [ 0.72461706705, -0.68915161880, 0.00000001684],
11819  [-0.72461698319, -0.30819812708, 0.61639596623],
11820  [-0.22391892029, -0.68915176147, 0.68915166281],
11821  [ 0.22391892029, 0.68915175489, -0.68915166281],
11822  [ 0.84839635554, 0.13783046089, -0.51110295447],
11823  [-0.72461706705, 0.68915161222, -0.00000001684],
11824  [ 0.58622751176, -0.68915165248, 0.42591918470],
11825  [ 0.62447735140, 0.51878412896, -0.58385863422],
11826  [ 0.94853598734, -0.30819789624, -0.07275563566],
11827  [ 0.22391900415, -0.68915170697, 0.68915169006],
11828  [-0.81014648388, 0.30819788967, 0.49867482036],
11829  [-0.22391905598, 0.92459406990, -0.30819798832],
11830  [-0.36230850761, -0.30819809340, 0.87962851567],
11831  [-0.58622751176, 0.07275557466, 0.80687283593],
11832  [ 0.22391886846, 0.92459406990, -0.30819796107],
11833  [ 0.98678585901, 0.13783046089, -0.08518376977],
11834  [-0.58622756359, 0.68915161222, 0.42591916786],
11835  [-0.36230861127, 0.92459406990, 0.11772117954],
11836  [ 0.72461698319, -0.30819795073, 0.61639605440],
11837  [ 0.62447729957, 0.75422644396, -0.20290493247],
11838  [ 0.94853593552, -0.07275558124, 0.30819806608],
11839  [ 0.36230847558, -0.30819800523, 0.87962855976],
11840  [-0.00000005183, -0.07275572390, 0.99734971206],
11841  [ 0.84839627169, 0.51878412896, 0.10529308309],
11842  [-0.22391905598, 0.30819794416, 0.92459403231],
11843  [ 0.36230837193, 0.92459406990, 0.11772122363],
11844  [-0.22391908801, 0.68915164590, 0.68915171731],
11845  [-0.00000013569, 0.92459406990, 0.38095372899],
11846  [ 0.58622739587, 0.07275571733, 0.80687290726],
11847  [ 0.81014634819, 0.30819808683, 0.49867491894],
11848  [ 0.22391886846, 0.30819799866, 0.92459405956],
11849  [ 0.58622734404, 0.68915175489, 0.42591923920],
11850  [ 0.22391883643, 0.68915170040, 0.68915174456]
11851  ],
11852  [
11853  [0.99999992378, -107.99999046038, 133.56300370786],
11854  [0.99999992378, -130.38616989338, 115.20886419201],
11855  [0.99999992253, -125.99998912437, 157.60723281191],
11856  [0.99999992253, -159.17204697701, 119.91237455028],
11857  [0.99999992175, -172.92529010115, 143.79152766686],
11858  [0.99999992455, -89.99999159172, 112.39277312256],
11859  [0.99999992378, -71.99998928943, 133.56300155339],
11860  [0.99999992455, -111.39806157676, 96.76060660846],
11861  [0.99999992253, -53.99998324198, 157.60722871387],
11862  [0.99999992378, -136.43699229202, 90.00000408717],
11863  [0.99999992127, 89.99995918529, 175.82771767430],
11864  [0.99999992253, -161.99999292706, 94.17228425929],
11865  [0.99999992050, 139.61382234638, 151.59759765072],
11866  [0.99999992127, 175.61382879197, 107.95067255411],
11867  [0.99999992050, 156.95872245567, 128.05343383228],
11868  [0.99999992455, -68.60192370976, 96.76060406476],
11869  [0.99999992378, -49.61381366272, 115.20885967460],
11870  [0.99999992455, -103.61381634713, 72.04933383145],
11871  [0.99999992175, -7.07469478200, 143.79152074794],
11872  [0.99999992378, -130.38617101139, 64.79114377637],
11873  [0.99999992050, 40.38618324361, 151.59759234019],
11874  [0.99999992455, -76.38617190417, 72.04933219041],
11875  [0.99999992175, -175.61381462612, 72.04933440632],
11876  [0.99999992253, -20.82793765285, 119.91236803389],
11877  [0.99999991925, 108.00000323337, 133.56299964574],
11878  [0.99999992050, 162.00000738725, 85.82772236300],
11879  [0.99999991925, 130.38618272505, 115.20886086319],
11880  [0.99999992378, -43.56299376403, 89.99999903514],
11881  [0.99999992253, -156.95871020775, 51.94657267434],
11882  [0.99999992378, -107.99999543508, 46.43700275552],
11883  [0.99999991925, 72.00000440433, 133.56299749128],
11884  [0.99999992106, 9.22765263458, 120.73732763647],
11885  [0.99999991925, 136.43700650881, 90.00000096485],
11886  [0.99999992378, -49.61381754460, 64.79113925897],
11887  [0.99999991981, 39.71808407508, 125.72240191849],
11888  [0.99999992253, -17.99999297182, 94.17227762853],
11889  [0.99999992378, -71.99999692719, 46.43700060106],
11890  [0.99999992050, 159.17206275317, 60.08763189933],
11891  [0.99999996886, 103.61382741646, 107.95066698712],
11892  [0.99999992253, -139.61381615339, 28.40240787442],
11893  [0.99999992127, 172.92530585059, 36.20847921462],
11894  [0.99999991847, 76.38618355970, 107.95066628132],
11895  [0.99999992106, 7.95141167878, 94.88659281586],
11896  [0.99999991925, 130.38618660694, 64.79114020323],
11897  [1.00000000000, 111.39807457246, 83.23939644770],
11898  [0.99999992253, -23.04127798437, 51.94656625855],
11899  [0.99999991903, 50.37624374108, 101.70688416918],
11900  [0.99999992175, -4.38617160268, 72.04932745474],
11901  [0.99999992253, -40.38617825660, 28.40240256389],
11902  [0.99999992175, -90.00004081485, 4.17228270123],
11903  [0.99999991981, 31.44528494299, 83.95594692549],
11904  [0.99999992050, 126.00001733900, 22.39277100444],
11905  [0.99999991847, 68.60193828489, 83.23939335025],
11906  [0.99999991925, 108.00001087114, 46.43699819980],
11907  [0.99999996886, 90.00000840827, 67.60722792344],
11908  [0.99999992127, 7.07470926624, 36.20847229571],
11909  [0.99999992050, 20.82795261694, 60.08762538293],
11910  [0.99999992050, 54.00001029464, 22.39276690641],
11911  [0.99999991925, 49.61382983694, 64.79113568582],
11912  [0.99999991925, 72.00000937903, 46.43699604533]
11913  ],
11914  [
11915  [48,45,33,36],
11916  [55,45,48],
11917  [55,56,47,45],
11918  [45,47,35,27,33],
11919  [47,42,35],
11920  [56,50,42,47],
11921  [35,42,31,23],
11922  [31,18,23],
11923  [31,34,20,18],
11924  [42,50,46,34,31],
11925  [34,30,20],
11926  [46,41,30,34],
11927  [49,57,55,48],
11928  [51,57,49],
11929  [51,53,59,57],
11930  [57,59,58,56,55],
11931  [53,54,59],
11932  [43,44,54,53],
11933  [59,54,52,58],
11934  [58,50,56],
11935  [58,52,46,50],
11936  [54,44,38,41,52],
11937  [52,41,46],
11938  [38,24,30,41],
11939  [39,40,51,49],
11940  [28,40,39],
11941  [28,22,37,40],
11942  [40,37,43,53,51],
11943  [22,25,37],
11944  [11,13,25,22],
11945  [37,25,32,43],
11946  [32,44,43],
11947  [32,26,38,44],
11948  [25,13,14,26,32],
11949  [26,24,38],
11950  [14,12,24,26],
11951  [29,19,28,39],
11952  [17,19,29],
11953  [17,7,9,19],
11954  [19,9,11,22,28],
11955  [7,1,9],
11956  [5,0,1,7],
11957  [9,1,3,11],
11958  [3,13,11],
11959  [3,4,14,13],
11960  [1,0,2,4,3],
11961  [4,12,14],
11962  [2,10,12,4],
11963  [36,21,17,29],
11964  [33,21,36],
11965  [33,27,15,21],
11966  [21,15,5,7,17],
11967  [27,16,15],
11968  [35,23,16,27],
11969  [15,16,6,5],
11970  [6,0,5],
11971  [6,8,2,0],
11972  [16,23,18,8,6],
11973  [8,10,2],
11974  [18,20,10,8],
11975  [29,39,49,48,36],
11976  [20,30,24,12,10]
11977  ],
11978  [
11979  [0,1],
11980  [0,2],
11981  [0,5],
11982  [0,6],
11983  [1,3],
11984  [1,7],
11985  [1,9],
11986  [2,4],
11987  [2,8],
11988  [2,10],
11989  [3,4],
11990  [3,11],
11991  [3,13],
11992  [4,12],
11993  [4,14],
11994  [5,6],
11995  [5,7],
11996  [5,15],
11997  [6,8],
11998  [6,16],
11999  [7,9],
12000  [7,17],
12001  [8,10],
12002  [8,18],
12003  [9,11],
12004  [9,19],
12005  [10,12],
12006  [10,20],
12007  [11,13],
12008  [11,22],
12009  [12,14],
12010  [12,24],
12011  [13,14],
12012  [13,25],
12013  [14,26],
12014  [15,16],
12015  [15,21],
12016  [15,27],
12017  [16,23],
12018  [16,27],
12019  [17,19],
12020  [17,21],
12021  [17,29],
12022  [18,20],
12023  [18,23],
12024  [18,31],
12025  [19,28],
12026  [19,29],
12027  [20,30],
12028  [20,34],
12029  [21,33],
12030  [21,36],
12031  [22,25],
12032  [22,28],
12033  [22,37],
12034  [23,31],
12035  [23,35],
12036  [24,26],
12037  [24,30],
12038  [24,38],
12039  [25,32],
12040  [25,37],
12041  [26,32],
12042  [26,38],
12043  [27,33],
12044  [27,35],
12045  [28,39],
12046  [28,40],
12047  [29,36],
12048  [29,39],
12049  [30,34],
12050  [30,41],
12051  [31,34],
12052  [31,42],
12053  [32,43],
12054  [32,44],
12055  [33,36],
12056  [33,45],
12057  [34,46],
12058  [35,42],
12059  [35,47],
12060  [36,48],
12061  [37,40],
12062  [37,43],
12063  [38,41],
12064  [38,44],
12065  [39,40],
12066  [39,49],
12067  [40,51],
12068  [41,46],
12069  [41,52],
12070  [42,47],
12071  [42,50],
12072  [43,44],
12073  [43,53],
12074  [44,54],
12075  [45,47],
12076  [45,48],
12077  [45,55],
12078  [46,50],
12079  [46,52],
12080  [47,56],
12081  [48,49],
12082  [48,55],
12083  [49,51],
12084  [49,57],
12085  [50,56],
12086  [50,58],
12087  [51,53],
12088  [51,57],
12089  [52,54],
12090  [52,58],
12091  [53,54],
12092  [53,59],
12093  [54,59],
12094  [55,56],
12095  [55,57],
12096  [56,58],
12097  [57,59],
12098  [58,59]
12099  ]
12100  ],
12101  [
12102  "johnson_gyrobifastigium",
12103  "Gyrobifastigium",
12104  "J26",
12105  "johnson",
12106  "Exact Mathematics",
12107  [
12108  [-0.50000000000, 0.50000000000, 0.00000000000],
12109  [ 0.50000000000, 0.50000000000, 0.00000000000],
12110  [ 0.50000000000, -0.50000000000, 0.00000000000],
12111  [-0.50000000000, -0.50000000000, 0.00000000000],
12112  [ 0.00000000000, 0.50000000000, 0.86602540378],
12113  [ 0.00000000000, -0.50000000000, 0.86602540378],
12114  [-0.50000000000, 0.00000000000, -0.86602540378],
12115  [ 0.50000000000, 0.00000000000, -0.86602540378]
12116  ],
12117  [
12118  [0.70710678119, 134.99999999999, 89.99999999999],
12119  [0.70710678119, 45.00000000000, 89.99999999999],
12120  [0.70710678119, -45.00000000000, 89.99999999999],
12121  [0.70710678119, -134.99999999999, 89.99999999999],
12122  [1.00000000000, 89.99999999999, 30.00000000000],
12123  [1.00000000000, -89.99999999999, 30.00000000000],
12124  [1.00000000000, 179.99999999999, 149.99999999999],
12125  [1.00000000000, 0.00000000000, 149.99999999999]
12126  ],
12127  [
12128  [4,0,1],
12129  [5,2,3],
12130  [6,0,3],
12131  [7,2,1],
12132  [0,4,5,3],
12133  [2,5,4,1],
12134  [0,6,7,1],
12135  [2,7,6,3]
12136  ],
12137  [
12138  [0,1],
12139  [0,3],
12140  [0,4],
12141  [0,6],
12142  [1,2],
12143  [1,4],
12144  [1,7],
12145  [2,3],
12146  [2,5],
12147  [2,7],
12148  [3,5],
12149  [3,6],
12150  [4,5],
12151  [6,7]
12152  ]
12153  ],
12154  [
12155  "johnson_gyroelongated_pentagonal_bicupola",
12156  "Gyroelongated Pentagonal Bicupola",
12157  "J46",
12158  "johnson",
12159  "Polyhedron Database #90",
12160  [
12161  [ 0.00000000000, -0.25750808025, -0.96627614511],
12162  [-0.56796286774, -0.25750808025, -0.78173382265],
12163  [ 0.15698107577, -0.57147023180, -0.48313807255],
12164  [-0.41098179196, -0.57147023180, -0.29859575010],
12165  [ 0.56796286774, -0.25750808025, -0.78173382265],
12166  [-0.29859575010, 0.25750808025, -0.91898322435],
12167  [-0.91898322435, -0.25750808025, -0.29859575010],
12168  [ 0.29859575010, 0.25750808025, -0.91898322435],
12169  [-0.78173382265, 0.25750808025, -0.56796286774],
12170  [ 0.50800143238, -0.57147023180, 0.00000000000],
12171  [-0.41098179196, -0.57147023180, 0.29859575010],
12172  [ 0.91898322435, -0.25750808025, -0.29859575010],
12173  [-0.91898322435, -0.25750808025, 0.29859575010],
12174  [ 0.78173382265, 0.25750808025, -0.56796286774],
12175  [-0.96627614511, 0.25750808025, -0.00000000000],
12176  [-0.29859575010, 0.57147023180, -0.41098179196],
12177  [ 0.15698107577, -0.57147023180, 0.48313807255],
12178  [ 0.29859575010, 0.57147023180, -0.41098179196],
12179  [ 0.91898322435, -0.25750808025, 0.29859575010],
12180  [-0.56796286774, -0.25750808025, 0.78173382265],
12181  [ 0.96627614511, 0.25750808025, 0.00000000000],
12182  [-0.48313807255, 0.57147023180, 0.15698107577],
12183  [-0.78173382265, 0.25750808025, 0.56796286774],
12184  [ 0.56796286774, -0.25750808025, 0.78173382265],
12185  [ 0.48313807255, 0.57147023180, 0.15698107577],
12186  [-0.00000000000, -0.25750808025, 0.96627614511],
12187  [ 0.00000000000, 0.57147023180, 0.50800143238],
12188  [ 0.78173382265, 0.25750808025, 0.56796286774],
12189  [-0.29859575010, 0.25750808025, 0.91898322435],
12190  [ 0.29859575010, 0.25750808025, 0.91898322435]
12191  ],
12192  [
12193  [1.00000000000, -89.99999999999, 165.07774833350],
12194  [1.00000000000, -155.61098626196, 141.41959783207],
12195  [0.76461995863, -74.63989772271, 129.18799659412],
12196  [0.76461995863, -125.72239323903, 112.98656321525],
12197  [1.00000000000, -24.38901373804, 141.41959783207],
12198  [1.00000000000, 139.22561430133, 156.77788602884],
12199  [1.00000000000, -164.34660886024, 107.37328013248],
12200  [1.00000000000, 40.77438569864, 156.77788602883],
12201  [1.00000000000, 161.76778911694, 124.60829214701],
12202  [0.76461995863, -48.36489848415, 89.99999999999],
12203  [0.76461995863, -125.72239323904, 67.01343678474],
12204  [1.00000000000, -15.65339113976, 107.37328013247],
12205  [1.00000000000, -164.34660886024, 72.62671986752],
12206  [1.00000000000, 18.23221088303, 124.60829214701],
12207  [1.00000000000, 165.07774833350, 90.00000000000],
12208  [0.76461995863, 117.58726882398, 122.51348704618],
12209  [0.76461995863, -74.63989772272, 50.81200340587],
12210  [0.76461995863, 62.41273117600, 122.51348704617],
12211  [1.00000000000, -15.65339113976, 72.62671986751],
12212  [1.00000000000, -155.61098626196, 38.58040216792],
12213  [1.00000000000, 14.92225166648, 89.99999999999],
12214  [0.76461995863, 130.21218041830, 78.15258661285],
12215  [1.00000000000, 161.76778911695, 55.39170785299],
12216  [1.00000000000, -24.38901373804, 38.58040216791],
12217  [0.76461995863, 49.78781958168, 78.15258661285],
12218  [1.00000000000, -90.00000000002, 14.92225166648],
12219  [0.76461995863, 89.99999999999, 48.36489848416],
12220  [1.00000000000, 18.23221088303, 55.39170785298],
12221  [1.00000000000, 139.22561430134, 23.22211397116],
12222  [1.00000000000, 40.77438569866, 23.22211397116]
12223  ],
12224  [
12225  [3,10,16,9,2],
12226  [11,4,2,9],
12227  [18,11,9],
12228  [23,18,9,16],
12229  [25,23,16],
12230  [19,25,16,10],
12231  [12,19,10],
12232  [6,12,10,3],
12233  [1,6,3],
12234  [0,1,3,2],
12235  [4,0,2],
12236  [26,21,15,17,24],
12237  [13,20,24,17],
12238  [7,13,17],
12239  [5,7,17,15],
12240  [8,5,15],
12241  [14,8,15,21],
12242  [22,14,21],
12243  [28,22,21,26],
12244  [29,28,26],
12245  [27,29,26,24],
12246  [20,27,24],
12247  [12,22,19],
12248  [14,22,12],
12249  [6,14,12],
12250  [8,14,6],
12251  [1,8,6],
12252  [5,8,1],
12253  [0,5,1],
12254  [7,5,0],
12255  [4,7,0],
12256  [13,7,4],
12257  [11,13,4],
12258  [20,13,11],
12259  [18,20,11],
12260  [27,20,18],
12261  [23,27,18],
12262  [29,27,23],
12263  [25,29,23],
12264  [28,29,25],
12265  [19,28,25],
12266  [22,28,19]
12267  ],
12268  [
12269  [0,1],
12270  [0,2],
12271  [0,4],
12272  [0,5],
12273  [0,7],
12274  [1,3],
12275  [1,5],
12276  [1,6],
12277  [1,8],
12278  [2,3],
12279  [2,4],
12280  [2,9],
12281  [3,6],
12282  [3,10],
12283  [4,7],
12284  [4,11],
12285  [4,13],
12286  [5,7],
12287  [5,8],
12288  [5,15],
12289  [6,8],
12290  [6,12],
12291  [6,14],
12292  [7,13],
12293  [7,17],
12294  [8,14],
12295  [8,15],
12296  [9,11],
12297  [9,16],
12298  [9,18],
12299  [10,12],
12300  [10,16],
12301  [10,19],
12302  [11,13],
12303  [11,18],
12304  [11,20],
12305  [12,14],
12306  [12,19],
12307  [12,22],
12308  [13,17],
12309  [13,20],
12310  [14,21],
12311  [14,22],
12312  [15,17],
12313  [15,21],
12314  [16,23],
12315  [16,25],
12316  [17,24],
12317  [18,20],
12318  [18,23],
12319  [18,27],
12320  [19,22],
12321  [19,25],
12322  [19,28],
12323  [20,24],
12324  [20,27],
12325  [21,22],
12326  [21,26],
12327  [22,28],
12328  [23,25],
12329  [23,27],
12330  [23,29],
12331  [24,26],
12332  [24,27],
12333  [25,28],
12334  [25,29],
12335  [26,28],
12336  [26,29],
12337  [27,29],
12338  [28,29]
12339  ]
12340  ],
12341  [
12342  "johnson_gyroelongated_pentagonal_birotunda",
12343  "Gyroelongated Pentagonal Birotunda",
12344  "J48",
12345  "johnson",
12346  "Polyhedron Database #92",
12347  [
12348  [-0.13158165180, -0.90481393343, -0.40496668354],
12349  [ 0.34448523671, -0.90481393343, -0.25028317474],
12350  [-0.42580716982, -0.90481393343, -0.00000000000],
12351  [ 0.34448523671, -0.90481393343, 0.25028317474],
12352  [-0.13158165180, -0.90481393343, 0.40496668354],
12353  [ 0.21290358491, -0.64165062983, -0.65524985828],
12354  [-0.55738882162, -0.64165062983, -0.40496668354],
12355  [ 0.68897047342, -0.64165062983, -0.00000000000],
12356  [-0.55738882162, -0.64165062983, 0.40496668354],
12357  [ 0.21290358491, -0.64165062983, 0.65524985828],
12358  [-0.00000000000, -0.21584346001, -0.80993336708],
12359  [ 0.47606688851, -0.21584346001, -0.65524985828],
12360  [-0.47606688851, -0.21584346001, -0.65524985828],
12361  [ 0.77029240653, -0.21584346001, -0.25028317474],
12362  [-0.77029240653, -0.21584346001, -0.25028317474],
12363  [ 0.77029240653, -0.21584346001, 0.25028317474],
12364  [-0.77029240653, -0.21584346001, 0.25028317474],
12365  [ 0.47606688851, -0.21584346001, 0.65524985828],
12366  [-0.47606688851, -0.21584346001, 0.65524985828],
12367  [ 0.00000000000, -0.21584346001, 0.80993336708],
12368  [ 0.25028317474, 0.21584346001, -0.77029240653],
12369  [-0.25028317474, 0.21584346001, -0.77029240653],
12370  [ 0.65524985828, 0.21584346001, -0.47606688851],
12371  [-0.65524985828, 0.21584346001, -0.47606688851],
12372  [ 0.80993336708, 0.21584346001, 0.00000000000],
12373  [-0.80993336708, 0.21584346001, 0.00000000000],
12374  [ 0.65524985828, 0.21584346001, 0.47606688851],
12375  [-0.65524985828, 0.21584346001, 0.47606688851],
12376  [ 0.25028317474, 0.21584346001, 0.77029240653],
12377  [-0.25028317474, 0.21584346001, 0.77029240653],
12378  [ 0.40496668354, 0.64165062983, -0.55738882162],
12379  [-0.40496668354, 0.64165062983, -0.55738882162],
12380  [ 0.65524985828, 0.64165062983, 0.21290358491],
12381  [-0.65524985828, 0.64165062983, 0.21290358491],
12382  [-0.00000000000, 0.64165062983, 0.68897047342],
12383  [-0.00000000000, 0.90481393343, -0.42580716982],
12384  [ 0.40496668354, 0.90481393343, -0.13158165180],
12385  [-0.40496668354, 0.90481393343, -0.13158165180],
12386  [ 0.25028317474, 0.90481393343, 0.34448523671],
12387  [-0.25028317474, 0.90481393343, 0.34448523671]
12388  ],
12389  [
12390  [1.00000000000, -98.27417835556, 113.88903937721],
12391  [1.00000000000, -69.15692238051, 104.49426963502],
12392  [1.00000000000, -115.20176532942, 89.99999999999],
12393  [1.00000000000, -69.15692238051, 75.50573036498],
12394  [1.00000000000, -98.27417835556, 66.11096062278],
12395  [0.94148597653, -71.64384150295, 134.10489156378],
12396  [0.94148597653, -130.98018062352, 115.47616921029],
12397  [0.94148597653, -42.96329304615, 89.99999999999],
12398  [0.94148597653, -130.98018062351, 64.52383078970],
12399  [0.94148597653, -71.64384150294, 45.89510843621],
12400  [0.83820072676, -89.99999999999, 165.07774833351],
12401  [0.83820072676, -24.38901373803, 141.41959783208],
12402  [0.83820072676, -155.61098626195, 141.41959783207],
12403  [0.83820072676, -15.65339113975, 107.37328013248],
12404  [0.83820072676, -164.34660886022, 107.37328013247],
12405  [0.83820072676, -15.65339113975, 72.62671986751],
12406  [0.83820072676, -164.34660886022, 72.62671986751],
12407  [0.83820072676, -24.38901373804, 38.58040216792],
12408  [0.83820072676, -155.61098626193, 38.58040216791],
12409  [0.83820072676, -89.99999999997, 14.92225166649],
12410  [0.83820072676, 40.77438569867, 156.77788602883],
12411  [0.83820072676, 139.22561430134, 156.77788602883],
12412  [0.83820072676, 18.23221088305, 124.60829214701],
12413  [0.83820072676, 161.76778911696, 124.60829214700],
12414  [0.83820072676, 14.92225166649, 89.99999999999],
12415  [0.83820072676, 165.07774833352, 89.99999999999],
12416  [0.83820072676, 18.23221088304, 55.39170785298],
12417  [0.83820072676, 161.76778911696, 55.39170785298],
12418  [0.83820072676, 40.77438569864, 23.22211397115],
12419  [0.83820072676, 139.22561430135, 23.22211397115],
12420  [0.94148597653, 57.74263745303, 126.30126224760],
12421  [0.94148597653, 122.25736254697, 126.30126224760],
12422  [0.94148597653, 44.39922157046, 76.93032995022],
12423  [0.94148597653, 135.60077842954, 76.93032995021],
12424  [0.94148597653, 90.00000000000, 42.96329304615],
12425  [1.00000000000, 90.00000000000, 115.20176532942],
12426  [1.00000000000, 65.88818952781, 97.56099948825],
12427  [1.00000000000, 114.11181047220, 97.56099948825],
12428  [1.00000000000, 74.53787103493, 69.84962412329],
12429  [1.00000000000, 105.46212896507, 69.84962412329]
12430  ],
12431  [
12432  [2,4,3,1,0],
12433  [5,10,12,6,0],
12434  [1,5,0],
12435  [11,10,5],
12436  [7,13,11,5,1],
12437  [3,7,1],
12438  [15,13,7],
12439  [9,17,15,7,3],
12440  [4,9,3],
12441  [19,17,9],
12442  [8,18,19,9,4],
12443  [2,8,4],
12444  [16,18,8],
12445  [6,14,16,8,2],
12446  [0,6,2],
12447  [12,14,6],
12448  [36,38,39,37,35],
12449  [31,21,20,30,35],
12450  [37,31,35],
12451  [23,21,31],
12452  [33,25,23,31,37],
12453  [39,33,37],
12454  [27,25,33],
12455  [34,29,27,33,39],
12456  [38,34,39],
12457  [28,29,34],
12458  [32,26,28,34,38],
12459  [36,32,38],
12460  [24,26,32],
12461  [30,22,24,32,36],
12462  [35,30,36],
12463  [20,22,30],
12464  [19,28,17],
12465  [29,28,19],
12466  [18,29,19],
12467  [27,29,18],
12468  [16,27,18],
12469  [25,27,16],
12470  [14,25,16],
12471  [23,25,14],
12472  [12,23,14],
12473  [21,23,12],
12474  [10,21,12],
12475  [20,21,10],
12476  [11,20,10],
12477  [22,20,11],
12478  [13,22,11],
12479  [24,22,13],
12480  [15,24,13],
12481  [26,24,15],
12482  [17,26,15],
12483  [28,26,17]
12484  ],
12485  [
12486  [0,1],
12487  [0,2],
12488  [0,5],
12489  [0,6],
12490  [1,3],
12491  [1,5],
12492  [1,7],
12493  [2,4],
12494  [2,6],
12495  [2,8],
12496  [3,4],
12497  [3,7],
12498  [3,9],
12499  [4,8],
12500  [4,9],
12501  [5,10],
12502  [5,11],
12503  [6,12],
12504  [6,14],
12505  [7,13],
12506  [7,15],
12507  [8,16],
12508  [8,18],
12509  [9,17],
12510  [9,19],
12511  [10,11],
12512  [10,12],
12513  [10,20],
12514  [10,21],
12515  [11,13],
12516  [11,20],
12517  [11,22],
12518  [12,14],
12519  [12,21],
12520  [12,23],
12521  [13,15],
12522  [13,22],
12523  [13,24],
12524  [14,16],
12525  [14,23],
12526  [14,25],
12527  [15,17],
12528  [15,24],
12529  [15,26],
12530  [16,18],
12531  [16,25],
12532  [16,27],
12533  [17,19],
12534  [17,26],
12535  [17,28],
12536  [18,19],
12537  [18,27],
12538  [18,29],
12539  [19,28],
12540  [19,29],
12541  [20,21],
12542  [20,22],
12543  [20,30],
12544  [21,23],
12545  [21,31],
12546  [22,24],
12547  [22,30],
12548  [23,25],
12549  [23,31],
12550  [24,26],
12551  [24,32],
12552  [25,27],
12553  [25,33],
12554  [26,28],
12555  [26,32],
12556  [27,29],
12557  [27,33],
12558  [28,29],
12559  [28,34],
12560  [29,34],
12561  [30,35],
12562  [30,36],
12563  [31,35],
12564  [31,37],
12565  [32,36],
12566  [32,38],
12567  [33,37],
12568  [33,39],
12569  [34,38],
12570  [34,39],
12571  [35,36],
12572  [35,37],
12573  [36,38],
12574  [37,39],
12575  [38,39]
12576  ]
12577  ],
12578  [
12579  "johnson_gyroelongated_pentagonal_cupola",
12580  "gyroelongated pentagonal cupola",
12581  "J24",
12582  "johnson",
12583  "Polyhedron Database #68",
12584  [
12585  [-0.00000000000, -0.35911189524, 0.93329447736],
12586  [ 0.28840384708, 0.13832582951, 0.88761578021],
12587  [-0.28840385178, 0.13832653369, 0.88761580994],
12588  [ 0.54857671146, -0.35911189524, 0.75505106765],
12589  [-0.54857672984, -0.35911189524, 0.75505112419],
12590  [ 0.75505106047, 0.13832544914, 0.54857669736],
12591  [ 0.00000021769, 0.44157195567, 0.49066187278],
12592  [-0.75505110012, 0.13832681641, 0.54857677519],
12593  [ 0.88761574621, -0.35911189524, 0.28840381931],
12594  [ 0.46664743108, 0.44157149822, 0.15162278994],
12595  [-0.88761581268, -0.35911189524, 0.28840391080],
12596  [-0.46664703065, 0.44157223840, 0.15162283804],
12597  [ 0.93329441363, 0.13832533606, -0.00000003247],
12598  [-0.93329450983, 0.13832681641, 0.00000006373],
12599  [ 0.88761571648, -0.35911189524, -0.28840387955],
12600  [ 0.28840402137, 0.44157149822, -0.39695392153],
12601  [-0.88761584241, -0.35911189524, -0.28840378806],
12602  [-0.28840367749, 0.44157195567, -0.39695389180],
12603  [ 0.75505100392, 0.13832533606, -0.54857674393],
12604  [-0.75505115667, 0.13832653369, -0.54857666611],
12605  [ 0.54857663364, -0.35911189524, -0.75505109294],
12606  [-0.54857680766, -0.35911189524, -0.75505103639],
12607  [ 0.28840375558, 0.13832544914, -0.88761577868],
12608  [-0.28840394328, 0.13832570615, -0.88761574896],
12609  [-0.00000009620, -0.35911189524, -0.93329444610]
12610  ],
12611  [
12612  [0.99999996738, -89.99999999999, 21.04566520958],
12613  [0.94348957991, 25.62356242295, 19.81709963233],
12614  [0.94348971256, 154.37632420856, 19.81711666092],
12615  [0.99999993821, -33.20975101489, 40.97016377448],
12616  [0.99999999099, -146.79024986445, 40.97016231526],
12617  [0.94348949474, 10.38147358880, 54.44854706042],
12618  [0.66010216288, 89.99997175420, 41.98568152514],
12619  [0.94348977218, 169.61842656071, 54.44855329201],
12620  [0.99999991461, -22.02728871644, 73.23757940544],
12621  [0.66010202499, 43.41846480197, 76.72082576446],
12622  [1.00000000000, -157.97271277536, 73.23757540434],
12623  [0.66010224810, 136.58146270532, 76.72082604522],
12624  [0.94348945999, 8.43054311795, 90.00000197190],
12625  [0.94348977218, 171.56936881140, 89.99999612993],
12626  [0.99999990560, -22.02728938359, 106.76242435445],
12627  [0.66010202499, 56.85020284935, 126.96681600965],
12628  [0.99999999099, -157.97271344252, 106.76241740614],
12629  [0.66010216288, 123.14973869757, 126.96680377196],
12630  [0.94348945999, 10.38146604644, 125.55145792390],
12631  [0.94348971256, 169.61844807857, 125.55144115342],
12632  [0.99999991461, -33.20975473982, 139.02983999249],
12633  [0.99999996738, -146.79025358942, 139.02983156929],
12634  [0.94348949474, 25.62350807743, 160.18291444669],
12635  [0.94348956182, 154.37646495354, 160.18289781655],
12636  [0.99999993821, -90.00001534856, 158.95433414730]
12637  ],
12638  [
12639  [24,21,16,10,4,0,3,8,14,20],
12640  [5,3,1],
12641  [8,3,5],
12642  [12,8,5],
12643  [14,8,12],
12644  [18,14,12],
12645  [20,14,18],
12646  [22,20,18],
12647  [24,20,22],
12648  [23,24,22],
12649  [21,24,23],
12650  [6,11,17,15,9],
12651  [18,12,9,15],
12652  [22,18,15],
12653  [23,22,15,17],
12654  [19,23,17],
12655  [13,19,17,11],
12656  [7,13,11],
12657  [2,7,11,6],
12658  [1,2,6],
12659  [5,1,6,9],
12660  [12,5,9],
12661  [19,21,23],
12662  [19,16,21],
12663  [16,13,10],
12664  [16,19,13],
12665  [13,7,10],
12666  [4,10,7],
12667  [4,7,2],
12668  [4,2,0],
12669  [0,2,1],
12670  [0,1,3]
12671  ],
12672  [
12673  [0,1],
12674  [0,2],
12675  [0,3],
12676  [0,4],
12677  [1,2],
12678  [1,3],
12679  [1,5],
12680  [1,6],
12681  [2,4],
12682  [2,6],
12683  [2,7],
12684  [3,5],
12685  [3,8],
12686  [4,7],
12687  [4,10],
12688  [5,8],
12689  [5,9],
12690  [5,12],
12691  [6,9],
12692  [6,11],
12693  [7,10],
12694  [7,11],
12695  [7,13],
12696  [8,12],
12697  [8,14],
12698  [9,12],
12699  [9,15],
12700  [10,13],
12701  [10,16],
12702  [11,13],
12703  [11,17],
12704  [12,14],
12705  [12,18],
12706  [13,16],
12707  [13,19],
12708  [14,18],
12709  [14,20],
12710  [15,17],
12711  [15,18],
12712  [15,22],
12713  [16,19],
12714  [16,21],
12715  [17,19],
12716  [17,23],
12717  [18,20],
12718  [18,22],
12719  [19,21],
12720  [19,23],
12721  [20,22],
12722  [20,24],
12723  [21,23],
12724  [21,24],
12725  [22,23],
12726  [22,24],
12727  [23,24]
12728  ]
12729  ],
12730  [
12731  "johnson_gyroelongated_pentagonal_cupolarotunda",
12732  "Gyroelongated Pentagonal Cupolarotunda",
12733  "J47",
12734  "johnson",
12735  "Polyhedron Database #91",
12736  [
12737  [-0.86573509887, -0.41397609515, 0.28129438534],
12738  [-0.86573509887, -0.41397609516, -0.28129438534],
12739  [-0.38716850632, -0.70974651523, 0.28129438534],
12740  [-0.38716850632, -0.70974651523, -0.28129438534],
12741  [-0.53505371636, -0.41397609515, 0.73643826167],
12742  [-0.53505371636, -0.41397609516, -0.73643826167],
12743  [-0.91028775266, 0.07119877509, 0.00000000000],
12744  [ 0.14788521004, -0.70974651523, 0.45514387633],
12745  [ 0.14788521004, -0.70974651523, -0.45514387633],
12746  [-0.73643826167, 0.07119877509, 0.53505371636],
12747  [-0.73643826167, 0.07119877509, -0.53505371636],
12748  [ 0.00000000000, -0.41397609515, 0.91028775266],
12749  [ 0.00000000000, -0.41397609516, -0.91028775266],
12750  [ 0.47856659255, -0.70974651523, 0.00000000000],
12751  [-0.28129438534, 0.07119877509, 0.86573509887],
12752  [-0.28129438534, 0.07119877509, -0.86573509887],
12753  [ 0.53505371636, -0.41397609515, 0.73643826167],
12754  [-0.73643826167, 0.54976536764, 0.23928329628],
12755  [ 0.53505371636, -0.41397609516, -0.73643826167],
12756  [-0.45514387633, 0.54976536764, -0.62645180259],
12757  [ 0.86573509887, -0.41397609515, 0.28129438534],
12758  [ 0.86573509887, -0.41397609516, -0.28129438534],
12759  [ 0.28129438534, 0.07119877509, 0.86573509887],
12760  [ 0.28129438534, 0.07119877509, -0.86573509887],
12761  [-0.45514387633, 0.84553578772, -0.14788521004],
12762  [-0.00000000000, 0.54976536764, 0.77433701263],
12763  [ 0.73643826167, 0.07119877509, 0.53505371636],
12764  [-0.28129438534, 0.84553578772, 0.38716850632],
12765  [ 0.73643826167, 0.07119877509, -0.53505371636],
12766  [ 0.91028775266, 0.07119877509, 0.00000000000],
12767  [ 0.00000000000, 0.84553578772, -0.47856659255],
12768  [ 0.45514387633, 0.54976536764, -0.62645180259],
12769  [ 0.28129438534, 0.84553578772, 0.38716850632],
12770  [ 0.73643826167, 0.54976536764, 0.23928329628],
12771  [ 0.45514387633, 0.84553578772, -0.14788521004]
12772  ],
12773  [
12774  [1.00000000000, -154.44386591911, 73.66252713746],
12775  [1.00000000000, -154.44386591911, 106.33747286253],
12776  [0.85601758124, -118.61257768585, 70.81568013754],
12777  [0.85601758124, -118.61257768586, 109.18431986244],
12778  [1.00000000000, -142.27054237741, 42.57111254634],
12779  [1.00000000000, -142.27054237739, 137.42888745365],
12780  [0.91306793735, 175.52767694268, 89.99999999999],
12781  [0.85601758124, -78.23005903945, 57.87966398235],
12782  [0.85601758124, -78.23005903945, 122.12033601762],
12783  [0.91306793735, 174.47781257704, 54.12665023030],
12784  [0.91306793735, 174.47781257705, 125.87334976970],
12785  [1.00000000000, -89.99999999999, 24.45485285534],
12786  [1.00000000000, -89.99999999999, 155.54514714463],
12787  [0.85601758124, -56.00907131426, 89.99999999999],
12788  [0.91306793735, 165.79610391270, 18.52940937577],
12789  [0.91306793735, 165.79610391273, 161.47059062423],
12790  [1.00000000000, -37.72945762258, 42.57111254634],
12791  [0.94965244621, 143.25795096894, 75.40592200318],
12792  [1.00000000000, -37.72945762258, 137.42888745364],
12793  [0.94965244621, 129.62093236985, 131.27427433626],
12794  [1.00000000000, -25.55613408088, 73.66252713746],
12795  [1.00000000000, -25.55613408088, 106.33747286252],
12796  [0.91306793735, 14.20389608731, 18.52940937576],
12797  [0.91306793735, 14.20389608726, 161.47059062422],
12798  [0.97157436763, 118.29315785010, 98.75513298565],
12799  [0.94965244621, 89.99999999999, 35.37406747839],
12800  [0.91306793735, 5.52218742296, 54.12665023029],
12801  [0.97157436763, 108.40134622826, 66.51580975184],
12802  [0.91306793735, 5.52218742295, 125.87334976969],
12803  [0.91306793735, 4.47232305731, 89.99999999999],
12804  [0.97157436763, 89.99999999999, 119.50951909523],
12805  [0.94965244621, 50.37906763014, 131.27427433626],
12806  [0.97157436763, 71.59865377173, 66.51580975183],
12807  [0.94965244621, 36.74204903105, 75.40592200317],
12808  [0.97157436763, 61.70684214989, 98.75513298565]
12809  ],
12810  [
12811  [2,7,13,8,3],
12812  [12,5,3,8],
12813  [18,12,8],
12814  [21,18,8,13],
12815  [20,21,13],
12816  [16,20,13,7],
12817  [11,16,7],
12818  [4,11,7,2],
12819  [0,4,2],
12820  [1,0,2,3],
12821  [5,1,3],
12822  [34,32,27,24,30],
12823  [19,15,23,31,30],
12824  [24,19,30],
12825  [10,15,19],
12826  [17,6,10,19,24],
12827  [27,17,24],
12828  [9,6,17],
12829  [25,14,9,17,27],
12830  [32,25,27],
12831  [22,14,25],
12832  [33,26,22,25,32],
12833  [34,33,32],
12834  [29,26,33],
12835  [31,28,29,33,34],
12836  [30,31,34],
12837  [23,28,31],
12838  [11,22,16],
12839  [14,22,11],
12840  [4,14,11],
12841  [9,14,4],
12842  [0,9,4],
12843  [6,9,0],
12844  [1,6,0],
12845  [10,6,1],
12846  [5,10,1],
12847  [15,10,5],
12848  [12,15,5],
12849  [23,15,12],
12850  [18,23,12],
12851  [28,23,18],
12852  [21,28,18],
12853  [29,28,21],
12854  [20,29,21],
12855  [26,29,20],
12856  [16,26,20],
12857  [22,26,16]
12858  ],
12859  [
12860  [0,1],
12861  [0,2],
12862  [0,4],
12863  [0,6],
12864  [0,9],
12865  [1,3],
12866  [1,5],
12867  [1,6],
12868  [1,10],
12869  [2,3],
12870  [2,4],
12871  [2,7],
12872  [3,5],
12873  [3,8],
12874  [4,9],
12875  [4,11],
12876  [4,14],
12877  [5,10],
12878  [5,12],
12879  [5,15],
12880  [6,9],
12881  [6,10],
12882  [6,17],
12883  [7,11],
12884  [7,13],
12885  [7,16],
12886  [8,12],
12887  [8,13],
12888  [8,18],
12889  [9,14],
12890  [9,17],
12891  [10,15],
12892  [10,19],
12893  [11,14],
12894  [11,16],
12895  [11,22],
12896  [12,15],
12897  [12,18],
12898  [12,23],
12899  [13,20],
12900  [13,21],
12901  [14,22],
12902  [14,25],
12903  [15,19],
12904  [15,23],
12905  [16,20],
12906  [16,22],
12907  [16,26],
12908  [17,24],
12909  [17,27],
12910  [18,21],
12911  [18,23],
12912  [18,28],
12913  [19,24],
12914  [19,30],
12915  [20,21],
12916  [20,26],
12917  [20,29],
12918  [21,28],
12919  [21,29],
12920  [22,25],
12921  [22,26],
12922  [23,28],
12923  [23,31],
12924  [24,27],
12925  [24,30],
12926  [25,27],
12927  [25,32],
12928  [26,29],
12929  [26,33],
12930  [27,32],
12931  [28,29],
12932  [28,31],
12933  [29,33],
12934  [30,31],
12935  [30,34],
12936  [31,34],
12937  [32,33],
12938  [32,34],
12939  [33,34]
12940  ]
12941  ],
12942  [
12943  "johnson_gyroelongated_pentagonal_pyramid",
12944  "Gyroelongated Pentagonal Pyramid",
12945  "J11",
12946  "johnson",
12947  "Polyhedron Database #55",
12948  [
12949  [ 0.00000000000, -0.51552832530, -0.85687253767],
12950  [ 0.81493421058, -0.51552832530, -0.26478817615],
12951  [-0.81493421058, -0.51552832530, -0.26478817615],
12952  [ 0.50365704074, -0.51552832530, 0.69322444499],
12953  [-0.50365704074, -0.51552832530, 0.69322444499],
12954  [ 0.50365704074, 0.34134421237, -0.69322444499],
12955  [-0.50365704074, 0.34134421237, -0.69322444499],
12956  [ 0.81493421058, 0.34134421237, 0.26478817615],
12957  [-0.81493421058, 0.34134421237, 0.26478817615],
12958  [ 0.00000000000, 0.34134421237, 0.85687253767],
12959  [ 0.00000000000, 0.87092056467, 0.00000000000]
12960  ],
12961  [
12962  [1.00000000000, -89.99999999999, 148.96722447522],
12963  [1.00000000000, -32.31749266871, 105.35436657410],
12964  [1.00000000000, -147.68250733128, 105.35436657410],
12965  [1.00000000000, -45.66734057222, 46.11410324701],
12966  [1.00000000000, -134.33265942777, 46.11410324701],
12967  [0.92235915842, 34.12672786951, 138.72721633441],
12968  [0.92235915842, 145.87327213048, 138.72721633441],
12969  [0.92235915842, 22.72691217199, 73.31695413023],
12970  [0.92235915842, 157.27308782800, 73.31695413023],
12971  [0.92235915842, 89.99999999999, 21.72038634979],
12972  [0.87092056467, 89.99999999999, 89.99999999999]
12973  ],
12974  [
12975  [8,2,6],
12976  [4,2,8],
12977  [9,4,8],
12978  [3,4,9],
12979  [7,3,9],
12980  [1,3,7],
12981  [5,1,7],
12982  [0,1,5],
12983  [6,0,5],
12984  [2,0,6],
12985  [10,8,6],
12986  [10,9,8],
12987  [10,7,9],
12988  [10,5,7],
12989  [10,6,5],
12990  [0,2,4,3,1]
12991  ],
12992  [
12993  [0,1],
12994  [0,2],
12995  [0,5],
12996  [0,6],
12997  [1,3],
12998  [1,5],
12999  [1,7],
13000  [2,4],
13001  [2,6],
13002  [2,8],
13003  [3,4],
13004  [3,7],
13005  [3,9],
13006  [4,8],
13007  [4,9],
13008  [5,6],
13009  [5,7],
13010  [5,10],
13011  [6,8],
13012  [6,10],
13013  [7,9],
13014  [7,10],
13015  [8,9],
13016  [8,10],
13017  [9,10]
13018  ]
13019  ],
13020  [
13021  "johnson_gyroelongated_pentagonal_rotunda",
13022  "Gyroelongated Pentagonal Rotunda",
13023  "J25",
13024  "johnson",
13025  "George W. Hart, Jan 1996. george@li.net",
13026  [
13027  [-0.29571105920, -0.04950715860, -0.91010535520],
13028  [-0.47847076326, 0.45358744372, -0.65855873086],
13029  [-0.77418187852, -0.04950726104, -0.56247669378],
13030  [ 0.29571126590, -0.04950646364, -0.91010527582],
13031  [-0.56247521145, -0.55954789069, -0.77418141284],
13032  [ 0.00000052303, -0.55954789069, -0.95694079064],
13033  [-0.00000070745, 0.76451703904, -0.50309479482],
13034  [ 0.47847074268, 0.45358748593, -0.65855883072],
13035  [-0.47847121983, 0.76451663624, -0.15546523031],
13036  [-0.91010477465, -0.55954789069, -0.29571054106],
13037  [ 0.56247731086, -0.55954752935, -0.77418047213],
13038  [-0.95694093209, -0.04950663948, 0.00000000000],
13039  [ 0.77418175981, -0.04950606747, -0.56247538966],
13040  [ 0.47846978647, 0.76451743521, -0.15546490866],
13041  [-0.77418226189, 0.45358836722, 0.25154596352],
13042  [-0.29571189915, 0.76451766217, 0.40701080265],
13043  [-0.91010512479, -0.55954660028, 0.29571170910],
13044  [ 0.91010596067, -0.55954540107, -0.29570979682],
13045  [ 0.29571042595, 0.76451835713, 0.40701088203],
13046  [-0.77418242144, -0.04950619415, 0.56247611515],
13047  [ 0.95694108050, -0.04950504154, 0.00000064329],
13048  [ 0.77418137644, 0.45358956078, 0.25154726763],
13049  [-0.00000111921, 0.45358920714, 0.81402306114],
13050  [-0.56247597879, -0.55954686649, 0.77418252668],
13051  [ 0.91010530014, -0.55954544802, 0.29571211403],
13052  [-0.29571142443, -0.04950491702, 0.91010501602],
13053  [ 0.77418171999, -0.04950411962, 0.56247643398],
13054  [ 0.29571120761, -0.04950452243, 0.91010599849],
13055  [ 0.00000000246, -0.55954544802, 0.95694236361],
13056  [ 0.56247573694, -0.55954544802, 0.77418298581]
13057  ],
13058  [
13059  [0.95822113672, -170.49583498694, 161.76596488434],
13060  [0.93186664410, 136.52927210381, 134.96779368112],
13061  [0.95822157196, -176.34104063324, 125.94445346544],
13062  [0.95822108920, -9.50402750993, 161.76595833857],
13063  [1.10852562688, -135.14948243355, 134.29784580563],
13064  [1.10852583135, -89.99994644362, 149.68407561018],
13065  [0.91519980089, 90.00005301896, 123.34714343572],
13066  [0.93186672465, 43.47073178910, 134.96779741265],
13067  [0.91519934065, 122.04030938060, 99.78028089231],
13068  [1.10852571775, -148.41609246609, 105.47157038289],
13069  [1.10852585277, -44.85039214107, 134.29776647842],
13070  [0.95822067128, -177.03848495436, 89.99999999999],
13071  [0.95822064887, -3.65887195234, 125.94439716652],
13072  [0.91519920407, 57.95979473503, 99.78026193281],
13073  [0.93186691822, 149.63423908245, 74.33944346159],
13074  [0.91519974680, 111.14624003449, 63.59435249830],
13075  [1.10852566545, -148.41616125470, 74.52836622701],
13076  [1.10852523627, -31.58376047971, 105.47153735774],
13077  [0.91519988663, 68.85387352729, 63.59435129650],
13078  [0.95822161583, -176.34112182907, 54.05559117250],
13079  [0.95822073693, -2.96141916771, 89.99996153518],
13080  [0.93186711559, 30.36585526022, 74.33936358877],
13081  [0.93186732581, 90.00014137402, 29.12738751736],
13082  [1.10852627715, -135.14957395225, 45.70210655316],
13083  [1.10852533581, -31.58378117786, 74.52833979468],
13084  [0.95822081147, -170.49626898878, 18.23404089897],
13085  [0.95822112907, -3.65872857032, 54.05554652187],
13086  [0.95822165731, -9.50366348139, 18.23400667270],
13087  [1.10852595625, -89.99999974766, 30.31577436289],
13088  [1.10852575909, -44.85036574328, 45.70204726816]
13089  ],
13090  [
13091  [11,9,2],
13092  [16,9,11],
13093  [19,16,11],
13094  [23,16,19],
13095  [25,23,19],
13096  [28,23,25],
13097  [27,28,25],
13098  [29,28,27],
13099  [26,29,27],
13100  [24,29,26],
13101  [18,22,15],
13102  [27,25,22],
13103  [13,21,18],
13104  [20,26,21],
13105  [6,7,13],
13106  [3,12,7],
13107  [8,1,6],
13108  [2,0,1],
13109  [15,14,8],
13110  [19,11,14],
13111  [20,24,26],
13112  [17,24,20],
13113  [12,17,20],
13114  [10,17,12],
13115  [3,10,12],
13116  [5,10,3],
13117  [0,5,3],
13118  [4,5,0],
13119  [2,4,0],
13120  [9,4,2],
13121  [8,6,13,18,15],
13122  [22,25,19,14,15],
13123  [21,26,27,22,18],
13124  [7,12,20,21,13],
13125  [1,0,3,7,6],
13126  [14,11,2,1,8],
13127  [29,24,17,10,5,4,9,16,23,28]
13128  ],
13129  [
13130  [0,1],
13131  [0,2],
13132  [0,3],
13133  [0,4],
13134  [0,5],
13135  [1,2],
13136  [1,6],
13137  [1,8],
13138  [2,4],
13139  [2,9],
13140  [2,11],
13141  [3,5],
13142  [3,7],
13143  [3,10],
13144  [3,12],
13145  [4,5],
13146  [4,9],
13147  [5,10],
13148  [6,7],
13149  [6,8],
13150  [6,13],
13151  [7,12],
13152  [7,13],
13153  [8,14],
13154  [8,15],
13155  [9,11],
13156  [9,16],
13157  [10,12],
13158  [10,17],
13159  [11,14],
13160  [11,16],
13161  [11,19],
13162  [12,17],
13163  [12,20],
13164  [13,18],
13165  [13,21],
13166  [14,15],
13167  [14,19],
13168  [15,18],
13169  [15,22],
13170  [16,19],
13171  [16,23],
13172  [17,20],
13173  [17,24],
13174  [18,21],
13175  [18,22],
13176  [19,23],
13177  [19,25],
13178  [20,21],
13179  [20,24],
13180  [20,26],
13181  [21,26],
13182  [22,25],
13183  [22,27],
13184  [23,25],
13185  [23,28],
13186  [24,26],
13187  [24,29],
13188  [25,27],
13189  [25,28],
13190  [26,27],
13191  [26,29],
13192  [27,28],
13193  [27,29],
13194  [28,29]
13195  ]
13196  ],
13197  [
13198  "johnson_gyroelongated_square_bicupola",
13199  "Gyroelongated Square Bicupola",
13200  "J45",
13201  "johnson",
13202  "Polyhedron Database #89",
13203  [
13204  [-0.67164442276, -0.31270999145, 0.67164442276],
13205  [-0.94984865176, -0.31270999145, -0.00000000000],
13206  [-0.19672009688, -0.82676437751, 0.47492432588],
13207  [-0.87754572834, 0.31270999145, 0.36349134228],
13208  [-0.00000000000, -0.31270999145, 0.94984865176],
13209  [-0.47492432588, -0.82676437751, -0.19672009688],
13210  [-0.36349134228, 0.31270999145, 0.87754572834],
13211  [-0.87754572834, 0.31270999145, -0.36349134228],
13212  [-0.67164442276, -0.31270999145, -0.67164442276],
13213  [ 0.47492432588, -0.82676437751, 0.19672009688],
13214  [-0.36349134228, 0.82676437751, 0.36349134228],
13215  [ 0.36349134228, 0.31270999145, 0.87754572834],
13216  [ 0.67164442276, -0.31270999145, 0.67164442276],
13217  [ 0.19672009688, -0.82676437751, -0.47492432588],
13218  [-0.36349134228, 0.82676437751, -0.36349134228],
13219  [-0.36349134228, 0.31270999145, -0.87754572834],
13220  [ 0.00000000000, -0.31270999145, -0.94984865176],
13221  [ 0.36349134228, 0.82676437751, 0.36349134228],
13222  [ 0.94984865176, -0.31270999145, 0.00000000000],
13223  [ 0.87754572834, 0.31270999145, 0.36349134228],
13224  [ 0.67164442276, -0.31270999145, -0.67164442276],
13225  [ 0.36349134228, 0.82676437751, -0.36349134228],
13226  [ 0.36349134228, 0.31270999145, -0.87754572834],
13227  [ 0.87754572834, 0.31270999145, -0.36349134228]
13228  ],
13229  [
13230  [1.00000000000, -155.03384957251, 47.80589064815],
13231  [1.00000000000, -161.77737671141, 90.00000000000],
13232  [0.97354570912, -103.38406577317, 60.80197889730],
13233  [1.00000000000, 160.38667322856, 68.68523321432],
13234  [1.00000000000, -90.00000000001, 18.22262328858],
13235  [0.97354570912, -119.87466799726, 101.65777569438],
13236  [1.00000000000, 139.29473544052, 28.65229139610],
13237  [1.00000000000, 160.38667322856, 111.31476678568],
13238  [1.00000000000, -155.03384957250, 132.19410935183],
13239  [0.97354570912, -60.12533200274, 78.34222430560],
13240  [0.97354570912, 113.73294603803, 68.07648537032],
13241  [1.00000000000, 40.70526455949, 28.65229139609],
13242  [1.00000000000, -24.96615042748, 47.80589064815],
13243  [0.97354570912, -76.61593422683, 119.19802110269],
13244  [0.97354570912, 113.73294603803, 111.92351462968],
13245  [1.00000000000, 139.29473544050, 151.34770860390],
13246  [1.00000000000, -89.99999999999, 161.77737671141],
13247  [0.97354570912, 66.26705396195, 68.07648537032],
13248  [1.00000000000, -18.22262328858, 89.99999999999],
13249  [1.00000000000, 19.61332677142, 68.68523321431],
13250  [1.00000000000, -24.96615042748, 132.19410935183],
13251  [0.97354570912, 66.26705396195, 111.92351462967],
13252  [1.00000000000, 40.70526455946, 151.34770860389],
13253  [1.00000000000, 19.61332677142, 111.31476678567]
13254  ],
13255  [
13256  [2,9,13,5],
13257  [16,8,5,13],
13258  [20,16,13],
13259  [18,20,13,9],
13260  [12,18,9],
13261  [4,12,9,2],
13262  [0,4,2],
13263  [1,0,2,5],
13264  [8,1,5],
13265  [17,10,14,21],
13266  [15,22,21,14],
13267  [7,15,14],
13268  [3,7,14,10],
13269  [6,3,10],
13270  [11,6,10,17],
13271  [19,11,17],
13272  [23,19,17,21],
13273  [22,23,21],
13274  [4,11,12],
13275  [6,11,4],
13276  [0,6,4],
13277  [3,6,0],
13278  [1,3,0],
13279  [7,3,1],
13280  [8,7,1],
13281  [15,7,8],
13282  [16,15,8],
13283  [22,15,16],
13284  [20,22,16],
13285  [23,22,20],
13286  [18,23,20],
13287  [19,23,18],
13288  [12,19,18],
13289  [11,19,12]
13290  ],
13291  [
13292  [0,1],
13293  [0,2],
13294  [0,3],
13295  [0,4],
13296  [0,6],
13297  [1,3],
13298  [1,5],
13299  [1,7],
13300  [1,8],
13301  [2,4],
13302  [2,5],
13303  [2,9],
13304  [3,6],
13305  [3,7],
13306  [3,10],
13307  [4,6],
13308  [4,11],
13309  [4,12],
13310  [5,8],
13311  [5,13],
13312  [6,10],
13313  [6,11],
13314  [7,8],
13315  [7,14],
13316  [7,15],
13317  [8,15],
13318  [8,16],
13319  [9,12],
13320  [9,13],
13321  [9,18],
13322  [10,14],
13323  [10,17],
13324  [11,12],
13325  [11,17],
13326  [11,19],
13327  [12,18],
13328  [12,19],
13329  [13,16],
13330  [13,20],
13331  [14,15],
13332  [14,21],
13333  [15,16],
13334  [15,22],
13335  [16,20],
13336  [16,22],
13337  [17,19],
13338  [17,21],
13339  [18,19],
13340  [18,20],
13341  [18,23],
13342  [19,23],
13343  [20,22],
13344  [20,23],
13345  [21,22],
13346  [21,23],
13347  [22,23]
13348  ]
13349  ],
13350  [
13351  "johnson_gyroelongated_square_cupola",
13352  "Gyroelongated Square Cupola",
13353  "J23",
13354  "johnson",
13355  "George W. Hart, Jan 1996. george@li.net",
13356  [
13357  [-0.96831824071, -0.48735789808, -0.00000021782],
13358  [-0.89460886676, 0.15022236527, -0.37055936263],
13359  [-0.89460971347, 0.15022270720, 0.37055897703],
13360  [-0.68470429246, -0.48735861816, -0.68470365097],
13361  [-0.68470496770, -0.48735791416, 0.68470376160],
13362  [-0.37055870008, 0.15022287729, -0.89460872578],
13363  [-0.37055878003, 0.67427256429, -0.37055942621],
13364  [-0.37055962674, 0.67427290622, 0.37055891344],
13365  [-0.37055949289, 0.15022274465, 0.89460972991],
13366  [ 0.00000044250, -0.48735861593, -0.96831714338],
13367  [-0.00000000000, -0.48735834348, 0.96831813960],
13368  [ 0.37055989763, 0.15022262334, -0.89460821149],
13369  [ 0.37055981768, 0.67427231034, -0.37055891192],
13370  [ 0.37055897097, 0.67427265227, 0.37055942773],
13371  [ 0.37055911845, 0.15022321079, 0.89460955045],
13372  [ 0.68470442408, -0.48735832740, -0.68470348109],
13373  [ 0.68470373520, -0.48735834348, 0.68470462523],
13374  [ 0.89460914945, 0.15022268476, -0.37055889419],
13375  [ 0.89460930250, 0.15022302892, 0.37055946742],
13376  [ 0.96831769709, -0.48735834348, 0.00000049832]
13377  ],
13378  [
13379  [1.08404701748, -153.28373061952, 90.00001151235],
13380  [0.97990102804, 170.46784429609, 112.21975466419],
13381  [0.97990170765, 170.46783185384, 67.78028592334],
13382  [1.08404680732, -144.55751073826, 129.16960868243],
13383  [1.08404698719, -144.55757653316, 50.83039152070],
13384  [0.97990072727, 157.93258151997, 155.91745452484],
13385  [0.85397399771, 118.79179713591, 115.71681727051],
13386  [0.85397441259, 118.79184013101, 64.28323432190],
13387  [0.97990192348, 157.93264181446, 24.08255807837],
13388  [1.08404636002, -89.99994797752, 153.28367065477],
13389  [1.08404712741, -89.99999999999, 26.71629281115],
13390  [0.97990067168, 22.06732028695, 155.91738810322],
13391  [0.85397402430, 61.20812603511, 115.71677811230],
13392  [0.85397415069, 61.20819355785, 64.28318755987],
13393  [0.97990168950, 22.06744024340, 24.08255318471],
13394  [1.08404665244, -35.44246790965, 129.16960377050],
13395  [1.08404694722, -35.44249603594, 50.83033092297],
13396  [0.97990115796, 9.53217264748, 112.21972197428],
13397  [0.97990156721, 9.53219248419, 67.78025159509],
13398  [1.08404673214, -26.71630332593, 89.99997366202]
13399  ],
13400  [
13401  [2,0,1],
13402  [4,0,2],
13403  [8,4,2],
13404  [10,4,8],
13405  [14,10,8],
13406  [16,10,14],
13407  [18,16,14],
13408  [19,16,18],
13409  [18,14,13],
13410  [11,17,12],
13411  [1,5,6],
13412  [8,2,7],
13413  [17,19,18],
13414  [17,15,19],
13415  [11,15,17],
13416  [9,15,11],
13417  [5,9,11],
13418  [3,9,5],
13419  [1,3,5],
13420  [0,3,1],
13421  [6,12,13,7],
13422  [14,8,7,13],
13423  [17,18,13,12],
13424  [5,11,12,6],
13425  [2,1,6,7],
13426  [16,19,15,9,3,0,4,10]
13427  ],
13428  [
13429  [0,1],
13430  [0,2],
13431  [0,3],
13432  [0,4],
13433  [1,2],
13434  [1,3],
13435  [1,5],
13436  [1,6],
13437  [2,4],
13438  [2,7],
13439  [2,8],
13440  [3,5],
13441  [3,9],
13442  [4,8],
13443  [4,10],
13444  [5,6],
13445  [5,9],
13446  [5,11],
13447  [6,7],
13448  [6,12],
13449  [7,8],
13450  [7,13],
13451  [8,10],
13452  [8,14],
13453  [9,11],
13454  [9,15],
13455  [10,14],
13456  [10,16],
13457  [11,12],
13458  [11,15],
13459  [11,17],
13460  [12,13],
13461  [12,17],
13462  [13,14],
13463  [13,18],
13464  [14,16],
13465  [14,18],
13466  [15,17],
13467  [15,19],
13468  [16,18],
13469  [16,19],
13470  [17,18],
13471  [17,19],
13472  [18,19]
13473  ]
13474  ],
13475  [
13476  "johnson_gyroelongated_square_dipyramid",
13477  "Gyroelongated Square Dipyramid",
13478  "J17",
13479  "johnson",
13480  "Polyhedron Database #61",
13481  [
13482  [-0.44343735335, 0.37288488082, -0.44343735335],
13483  [ 0.00000000000, -0.37288488082, -0.62711511918],
13484  [-0.62711511918, -0.37288488082, 0.00000000000],
13485  [ 0.44343735335, 0.37288488082, -0.44343735335],
13486  [ 0.00000000000, 1.00000000000, 0.00000000000],
13487  [ 0.00000000000, -1.00000000000, 0.00000000000],
13488  [-0.44343735335, 0.37288488082, 0.44343735335],
13489  [ 0.62711511918, -0.37288488082, 0.00000000000],
13490  [-0.00000000000, -0.37288488082, 0.62711511918],
13491  [ 0.44343735335, 0.37288488082, 0.44343735335]
13492  ],
13493  [
13494  [0.72960023783, 139.93964097363, 127.42924609280],
13495  [0.72960023783, -89.99999999998, 149.26413289763],
13496  [0.72960023783, -149.26413289763, 89.99999999999],
13497  [0.72960023783, 40.06035902637, 127.42924609279],
13498  [1.00000000000, 89.99999999999, 89.99999999999],
13499  [1.00000000000, -89.99999999999, 89.99999999999],
13500  [0.72960023783, 139.93964097364, 52.57075390718],
13501  [0.72960023783, -30.73586710236, 89.99999999999],
13502  [0.72960023783, -90.00000000001, 30.73586710237],
13503  [0.72960023783, 40.06035902636, 52.57075390719]
13504  ],
13505  [
13506  [9,8,6],
13507  [7,8,9],
13508  [3,7,9],
13509  [1,7,3],
13510  [0,1,3],
13511  [2,1,0],
13512  [6,2,0],
13513  [8,2,6],
13514  [4,9,6],
13515  [4,3,9],
13516  [4,0,3],
13517  [4,6,0],
13518  [5,8,7],
13519  [5,7,1],
13520  [5,1,2],
13521  [5,2,8]
13522  ],
13523  [
13524  [0,1],
13525  [0,2],
13526  [0,3],
13527  [0,4],
13528  [0,6],
13529  [1,2],
13530  [1,3],
13531  [1,5],
13532  [1,7],
13533  [2,5],
13534  [2,6],
13535  [2,8],
13536  [3,4],
13537  [3,7],
13538  [3,9],
13539  [4,6],
13540  [4,9],
13541  [5,7],
13542  [5,8],
13543  [6,8],
13544  [6,9],
13545  [7,8],
13546  [7,9],
13547  [8,9]
13548  ]
13549  ],
13550  [
13551  "johnson_gyroelongated_square_pyramid",
13552  "Gyroelongated Square Pyramid",
13553  "J10",
13554  "johnson",
13555  "Polyhedron Database #54",
13556  [
13557  [-0.49886702252, 0.29449549093, 0.49886702252],
13558  [-0.70550450907, -0.54449549093, 0.00000000000],
13559  [ 0.00000000000, -0.54449549093, 0.70550450907],
13560  [-0.49886702252, 0.29449549093, -0.49886702252],
13561  [ 0.49886702252, 0.29449549093, 0.49886702252],
13562  [ 0.00000000000, 1.00000000000, -0.00000000000],
13563  [ 0.00000000000, -0.54449549093, -0.70550450907],
13564  [ 0.70550450907, -0.54449549093, 0.00000000000],
13565  [ 0.49886702252, 0.29449549093, -0.49886702252]
13566  ],
13567  [
13568  [0.76450258763, 149.44542958801, 49.26676609489],
13569  [0.89118570004, -142.33969611372, 89.99999999999],
13570  [0.89118570004, -89.99999999999, 37.66030388627],
13571  [0.76450258763, 149.44542958801, 130.73323390511],
13572  [0.76450258763, 30.55457041198, 49.26676609488],
13573  [1.00000000000, 89.99999999999, 89.99999999999],
13574  [0.89118570004, -89.99999999999, 142.33969611372],
13575  [0.89118570004, -37.66030388627, 89.99999999999],
13576  [0.76450258763, 30.55457041197, 130.73323390510]
13577  ],
13578  [
13579  [8,7,4],
13580  [6,7,8],
13581  [3,6,8],
13582  [1,6,3],
13583  [0,1,3],
13584  [2,1,0],
13585  [4,2,0],
13586  [7,2,4],
13587  [5,8,4],
13588  [5,3,8],
13589  [5,0,3],
13590  [5,4,0],
13591  [2,7,6,1]
13592  ],
13593  [
13594  [0,1],
13595  [0,2],
13596  [0,3],
13597  [0,4],
13598  [0,5],
13599  [1,2],
13600  [1,3],
13601  [1,6],
13602  [2,4],
13603  [2,7],
13604  [3,5],
13605  [3,6],
13606  [3,8],
13607  [4,5],
13608  [4,7],
13609  [4,8],
13610  [5,8],
13611  [6,7],
13612  [6,8],
13613  [7,8]
13614  ]
13615  ],
13616  [
13617  "johnson_gyroelongated_triangular_bicupola",
13618  "Gyroelongated Triangular Bicupola",
13619  "J44",
13620  "johnson",
13621  "Polyhedron Database #88",
13622  [
13623  [ 0.63134418058, -0.31187184274, 0.36450673261],
13624  [ 0.72901346521, 0.31187184274, 0.00000000000],
13625  [ 0.36450673261, 0.31187184274, 0.63134418058],
13626  [ 0.36450673261, 0.90710884454, 0.21044806019],
13627  [ 0.63134418058, -0.31187184274, -0.36450673261],
13628  [-0.00000000000, -0.31187184274, 0.72901346521],
13629  [ 0.42089612038, -0.90710884454, 0.00000000000],
13630  [ 0.36450673261, 0.31187184274, -0.63134418058],
13631  [-0.36450673261, 0.31187184274, 0.63134418058],
13632  [ 0.00000000000, 0.90710884454, -0.42089612038],
13633  [-0.36450673261, 0.90710884454, 0.21044806019],
13634  [-0.21044806019, -0.90710884454, 0.36450673261],
13635  [ 0.00000000000, -0.31187184274, -0.72901346521],
13636  [-0.63134418058, -0.31187184274, 0.36450673261],
13637  [-0.21044806019, -0.90710884454, -0.36450673261],
13638  [-0.36450673261, 0.31187184274, -0.63134418058],
13639  [-0.72901346521, 0.31187184274, 0.00000000000],
13640  [-0.63134418058, -0.31187184274, -0.36450673261]
13641  ],
13642  [
13643  [0.79292160947, -26.28848321387, 62.63219484138],
13644  [0.79292160947, 23.16123122604, 89.99999999999],
13645  [0.79292160947, 40.55028556009, 37.22886588831],
13646  [1.00000000000, 68.10808531986, 77.85138899884],
13647  [0.79292160947, -26.28848321387, 117.36780515862],
13648  [0.79292160947, -90.00000000001, 23.16123122605],
13649  [1.00000000000, -65.10882375298, 89.99999999999],
13650  [0.79292160947, 40.55028556008, 142.77113411168],
13651  [0.79292160947, 139.44971443989, 37.22886588831],
13652  [1.00000000000, 89.99999999999, 114.89117624701],
13653  [1.00000000000, 111.89191468012, 77.85138899885],
13654  [1.00000000000, -103.06147965387, 68.62277065625],
13655  [0.79292160947, -89.99999999999, 156.83876877394],
13656  [0.79292160947, -153.71151678613, 62.63219484138],
13657  [1.00000000000, -103.06147965386, 111.37722934374],
13658  [0.79292160947, 139.44971443989, 142.77113411168],
13659  [0.79292160947, 156.83876877394, 89.99999999999],
13660  [0.79292160947, -153.71151678613, 117.36780515861]
13661  ],
13662  [
13663  [6,14,11],
13664  [17,13,11,14],
13665  [12,17,14],
13666  [4,12,14,6],
13667  [0,4,6],
13668  [5,0,6,11],
13669  [13,5,11],
13670  [3,10,9],
13671  [16,15,9,10],
13672  [8,16,10],
13673  [2,8,10,3],
13674  [1,2,3],
13675  [7,1,3,9],
13676  [15,7,9],
13677  [0,1,4],
13678  [2,1,0],
13679  [5,2,0],
13680  [8,2,5],
13681  [13,8,5],
13682  [16,8,13],
13683  [17,16,13],
13684  [15,16,17],
13685  [12,15,17],
13686  [7,15,12],
13687  [4,7,12],
13688  [1,7,4]
13689  ],
13690  [
13691  [0,1],
13692  [0,2],
13693  [0,4],
13694  [0,5],
13695  [0,6],
13696  [1,2],
13697  [1,3],
13698  [1,4],
13699  [1,7],
13700  [2,3],
13701  [2,5],
13702  [2,8],
13703  [3,9],
13704  [3,10],
13705  [4,6],
13706  [4,7],
13707  [4,12],
13708  [5,8],
13709  [5,11],
13710  [5,13],
13711  [6,11],
13712  [6,14],
13713  [7,9],
13714  [7,12],
13715  [7,15],
13716  [8,10],
13717  [8,13],
13718  [8,16],
13719  [9,10],
13720  [9,15],
13721  [10,16],
13722  [11,13],
13723  [11,14],
13724  [12,14],
13725  [12,15],
13726  [12,17],
13727  [13,16],
13728  [13,17],
13729  [14,17],
13730  [15,16],
13731  [15,17],
13732  [16,17]
13733  ]
13734  ],
13735  [
13736  "johnson_gyroelongated_triangular_cupola",
13737  "Gyroelongated Triangular Cupola",
13738  "J22",
13739  "johnson",
13740  "George W. Hart, Jan 1996. george@li.net",
13741  [
13742  [ 0.44529327448, 0.15936283250, -0.77127203187],
13743  [ 0.00000000000, -0.60262393500, -0.89058831560],
13744  [-0.44529488243, 0.15936276366, -0.77127156307],
13745  [ 0.00000001693, 0.88652471041, -0.51418057464],
13746  [ 0.77127140657, -0.60262419314, -0.44529512992],
13747  [-0.77127165651, -0.60262393500, -0.44529357949],
13748  [ 0.89058817596, 0.15936218866, -0.00000065070],
13749  [ 0.44529397235, 0.88652380844, 0.25709061076],
13750  [-0.89058829362, 0.15936188358, 0.00000126041],
13751  [-0.44529434033, 0.88652357219, 0.25709205307],
13752  [ 0.77127238676, -0.60262514463, 0.44529286947],
13753  [-0.77127162239, -0.60262514463, 0.44529422414],
13754  [ 0.44529492054, 0.15936147598, 0.77127119927],
13755  [-0.44529339214, 0.15936123973, 0.77127264158],
13756  [ 0.00000073025, -0.60262514463, 0.89058760558]
13757  ],
13758  [
13759  [0.90473375080, 19.69141822539, 148.48299894819],
13760  [1.07531537463, -89.99999999999, 145.91542858827],
13761  [0.90473413042, 160.30865526287, 148.48290294884],
13762  [1.02484522027, 89.99999890563, 120.11355143916],
13763  [1.07531542046, -38.00188799203, 114.46306257809],
13764  [1.07531481302, -141.99813292322, 114.46298654369],
13765  [0.90473399756, 10.14515657681, 90.00004120826],
13766  [1.02484475257, 63.32997959913, 75.47170388511],
13767  [0.90473405964, 169.85486375403, 89.99992017945],
13768  [1.02484506991, 116.67004551587, 75.47162518425],
13769  [1.07531572067, -38.00189655466, 65.53707702127],
13770  [1.07531573340, -141.99807589644, 65.53699803049],
13771  [0.90473361224, 19.69119630759, 31.51708760770],
13772  [0.90473404792, 160.30876824950, 31.51695787360],
13773  [1.07531546449, -89.99993057001, 34.08464599345]
13774  ],
13775  [
13776  [2,1,0],
13777  [5,1,2],
13778  [8,5,2],
13779  [11,5,8],
13780  [13,11,8],
13781  [14,11,13],
13782  [7,9,3],
13783  [13,8,9],
13784  [6,12,7],
13785  [2,0,3],
13786  [12,14,13],
13787  [10,14,12],
13788  [6,10,12],
13789  [4,10,6],
13790  [0,4,6],
13791  [1,4,0],
13792  [8,2,3,9],
13793  [12,13,9,7],
13794  [0,6,7,3],
13795  [14,10,4,1,5,11]
13796  ],
13797  [
13798  [0,1],
13799  [0,2],
13800  [0,3],
13801  [0,4],
13802  [0,6],
13803  [1,2],
13804  [1,4],
13805  [1,5],
13806  [2,3],
13807  [2,5],
13808  [2,8],
13809  [3,7],
13810  [3,9],
13811  [4,6],
13812  [4,10],
13813  [5,8],
13814  [5,11],
13815  [6,7],
13816  [6,10],
13817  [6,12],
13818  [7,9],
13819  [7,12],
13820  [8,9],
13821  [8,11],
13822  [8,13],
13823  [9,13],
13824  [10,12],
13825  [10,14],
13826  [11,13],
13827  [11,14],
13828  [12,13],
13829  [12,14],
13830  [13,14]
13831  ]
13832  ],
13833  [
13834  "johnson_hebesphenomegacorona",
13835  "Hebesphenomegacorona",
13836  "J89",
13837  "johnson",
13838  "Polyhedron Database #133",
13839  [
13840  [-0.44436577553, 0.10865575777, -0.63708044509],
13841  [-0.97875627619, -0.20502719776, -0.00000041459],
13842  [-0.74267607355, 0.65177442800, 0.00000045420],
13843  [-0.44436577553, -0.75892996467, -0.44436619012],
13844  [ 0.00000000000, 0.85380143750, -0.44436110679],
13845  [ 0.44436577553, 0.10865575777, -0.63708044509],
13846  [ 0.44436577553, -0.75892996467, -0.44436619012],
13847  [-0.44436577553, -0.75892996467, 0.44436536094],
13848  [-0.44436577553, 0.10865575777, 0.63707961591],
13849  [ 0.00000000000, 0.85380092963, 0.44436434428],
13850  [ 0.74267607355, 0.65177442800, 0.00000045420],
13851  [ 0.97875627619, -0.20502719776, -0.00000041459],
13852  [ 0.44436577553, -0.75892996467, 0.44436536094],
13853  [ 0.44436577553, 0.10865575777, 0.63707961591]
13854  ],
13855  [
13856  [0.78430766264, 166.25971517264, 144.31967335649],
13857  [1.00000000000, -168.16890881610, 90.00002375411],
13858  [0.98811823949, 138.72972856946, 89.99997366353],
13859  [0.98534102962, -120.34966351979, 116.80638771671],
13860  [0.96251425336, 89.99999999999, 117.49473099885],
13861  [0.78430766264, 13.74028482734, 144.31967335649],
13862  [0.98534102962, -59.65033648019, 116.80638771670],
13863  [0.98534065568, -120.34966351979, 63.19365531690],
13864  [0.78430698911, 166.25971517264, 35.68036197375],
13865  [0.96251529749, 89.99999999999, 62.50508409268],
13866  [0.98811823949, 41.27027143053, 89.99997366353],
13867  [1.00000000000, -11.83109118388, 90.00002375411],
13868  [0.98534065568, -59.65033648019, 63.19365531690],
13869  [0.78430698911, 13.74028482736, 35.68036197374]
13870  ],
13871  [
13872  [13,12,7,8],
13873  [13,8,9],
13874  [2,8,1],
13875  [8,7,1],
13876  [10,11,13],
13877  [11,12,13],
13878  [9,8,2],
13879  [10,13,9],
13880  [7,12,6,3],
13881  [11,6,12],
13882  [1,7,3],
13883  [0,3,6,5],
13884  [0,5,4],
13885  [10,5,11],
13886  [5,6,11],
13887  [2,1,0],
13888  [1,3,0],
13889  [9,4,10],
13890  [4,5,10],
13891  [9,2,4],
13892  [2,0,4]
13893  ],
13894  [
13895  [0,1],
13896  [0,2],
13897  [0,3],
13898  [0,4],
13899  [0,5],
13900  [1,2],
13901  [1,3],
13902  [1,7],
13903  [1,8],
13904  [2,4],
13905  [2,8],
13906  [2,9],
13907  [3,6],
13908  [3,7],
13909  [4,5],
13910  [4,9],
13911  [4,10],
13912  [5,6],
13913  [5,10],
13914  [5,11],
13915  [6,11],
13916  [6,12],
13917  [7,8],
13918  [7,12],
13919  [8,9],
13920  [8,13],
13921  [9,10],
13922  [9,13],
13923  [10,11],
13924  [10,13],
13925  [11,12],
13926  [11,13],
13927  [12,13]
13928  ]
13929  ],
13930  [
13931  "johnson_metabiaugmented_dodecahedron",
13932  "Metabiaugmented Dodecahedron",
13933  "J60",
13934  "johnson",
13935  "Polyhedron Database #104",
13936  [
13937  [ 0.00000000000, 0.65452059129, 0.55759222022],
13938  [ 0.50581020974, 0.65452059129, 0.19009959174],
13939  [-0.50581020974, 0.65452059129, 0.19009959174],
13940  [ 0.31260790148, 0.65452059129, -0.40451597176],
13941  [-0.31260790148, 0.65452059129, -0.40451597176],
13942  [ 0.87181791589, 0.41667436589, -0.25751892036],
13943  [-0.00000000000, 0.12268026311, 0.88628761962],
13944  [-0.87181791589, 0.41667436589, -0.25751892036],
13945  [ 0.81841811122, 0.12268026311, 0.29167205613],
13946  [-0.81841811122, 0.12268026311, 0.29167205613],
13947  [ 0.50581020974, -0.20601513629, 0.72193991992],
13948  [ 0.50581020974, 0.12268026311, -0.67043613585],
13949  [-0.50581020974, -0.20601513629, 0.72193991992],
13950  [-0.50581020974, 0.12268026311, -0.67043613585],
13951  [ 0.81841811122, -0.20601513629, -0.24016827205],
13952  [-0.81841811122, -0.20601513629, -0.24016827205],
13953  [ 0.00000000000, -0.20601513629, -0.83478383555],
13954  [ 0.31260790148, -0.73785546447, 0.45601975583],
13955  [-0.31260790148, -0.73785546447, 0.45601975583],
13956  [ 0.50581020974, -0.73785546447, -0.13859580767],
13957  [-0.50581020974, -0.73785546447, -0.13859580767],
13958  [ 0.00000000000, -0.73785546447, -0.50608843614]
13959  ],
13960  [
13961  [0.85982922053, 89.99999999999, 49.57201179471],
13962  [0.84875145213, 52.30333159337, 77.05735458332],
13963  [0.84875145213, 127.69666840662, 77.05735458333],
13964  [0.83051434419, 64.47022703079, 119.14797310171],
13965  [0.83051434419, 115.52977296919, 119.14797310172],
13966  [1.00000000000, 25.54487872109, 104.92289443691],
13967  [0.89473805756, 90.00000000004, 7.88082507815],
13968  [1.00000000000, 154.45512127889, 104.92289443692],
13969  [0.87745725825, 8.52512014166, 70.58512496627],
13970  [0.87745725825, 171.47487985833, 70.58512496628],
13971  [0.90525325331, -22.16093532961, 37.10792400551],
13972  [0.84875145213, 13.63337181501, 142.17697794898],
13973  [0.90525325331, -157.83906467039, 37.10792400552],
13974  [0.84875145213, 166.36662818497, 142.17697794900],
13975  [0.87745725825, -14.12915047757, 105.88511571547],
13976  [0.87745725825, -165.87084952241, 105.88511571547],
13977  [0.85982922053, -89.99999999997, 166.13706297176],
13978  [0.92201323430, -67.03903927567, 60.35719392757],
13979  [0.92201323430, -112.96096072433, 60.35719392758],
13980  [0.90525325331, -55.56881898970, 98.80671736121],
13981  [0.90525325331, -124.43118101028, 98.80671736121],
13982  [0.89473805756, -89.99999999999, 124.44587625521]
13983  ],
13984  [
13985  [1,8,10,6,0],
13986  [17,10,8,14,19],
13987  [3,1,0,2,4],
13988  [2,0,6,12,9],
13989  [12,6,10,17,18],
13990  [18,20,15,9,12],
13991  [4,13,16,11,3],
13992  [11,16,21,19,14],
13993  [19,21,20,18,17],
13994  [16,13,15,20,21],
13995  [15,13,7],
13996  [9,15,7],
13997  [13,4,7],
13998  [4,2,7],
13999  [9,7,2],
14000  [8,1,5],
14001  [14,8,5],
14002  [1,3,5],
14003  [3,11,5],
14004  [14,5,11]
14005  ],
14006  [
14007  [0,1],
14008  [0,2],
14009  [0,6],
14010  [1,3],
14011  [1,5],
14012  [1,8],
14013  [2,4],
14014  [2,7],
14015  [2,9],
14016  [3,4],
14017  [3,5],
14018  [3,11],
14019  [4,7],
14020  [4,13],
14021  [5,8],
14022  [5,11],
14023  [5,14],
14024  [6,10],
14025  [6,12],
14026  [7,9],
14027  [7,13],
14028  [7,15],
14029  [8,10],
14030  [8,14],
14031  [9,12],
14032  [9,15],
14033  [10,17],
14034  [11,14],
14035  [11,16],
14036  [12,18],
14037  [13,15],
14038  [13,16],
14039  [14,19],
14040  [15,20],
14041  [16,21],
14042  [17,18],
14043  [17,19],
14044  [18,20],
14045  [19,21],
14046  [20,21]
14047  ]
14048  ],
14049  [
14050  "johnson_metabiaugmented_hexagonal_prism",
14051  "Metabiaugmented Hexagonal Prism",
14052  "J56",
14053  "johnson",
14054  "Polyhedron Database #100",
14055  [
14056  [-0.89625815953, 0.00000000000, -0.44353276257],
14057  [-0.32893287329, -0.32893287329, -0.49580632172],
14058  [-0.32893287329, 0.32893287329, -0.49580632172],
14059  [-0.65786574658, -0.32893287329, 0.07392212710],
14060  [-0.65786574658, 0.32893287329, 0.07392212710],
14061  [ 0.32893287329, -0.32893287329, -0.49580632172],
14062  [ 0.32893287329, 0.32893287329, -0.49580632172],
14063  [ 0.89625815953, 0.00000000000, -0.44353276257],
14064  [-0.32893287329, -0.32893287329, 0.64365057591],
14065  [-0.32893287329, 0.32893287329, 0.64365057591],
14066  [ 0.65786574658, -0.32893287329, 0.07392212710],
14067  [ 0.65786574658, 0.32893287329, 0.07392212710],
14068  [ 0.32893287329, -0.32893287329, 0.64365057591],
14069  [ 0.32893287329, 0.32893287329, 0.64365057591]
14070  ],
14071  [
14072  [1.00000000000, 179.99999999999, 116.32950349168],
14073  [0.67986585362, -134.99999999998, 136.82529826622],
14074  [0.67986585362, 134.99999999999, 136.82529826623],
14075  [0.73922165589, -153.43494882292, 84.26083252128],
14076  [0.73922165589, 153.43494882291, 84.26083252129],
14077  [0.67986585362, -45.00000000000, 136.82529826621],
14078  [0.67986585362, 45.00000000000, 136.82529826623],
14079  [1.00000000000, 0.00000000000, 116.32950349167],
14080  [0.79415347014, -135.00000000000, 35.85652010693],
14081  [0.79415347014, 134.99999999998, 35.85652010693],
14082  [0.73922165589, -26.56505117708, 84.26083252129],
14083  [0.73922165589, 26.56505117708, 84.26083252129],
14084  [0.79415347014, -44.99999999999, 35.85652010693],
14085  [0.79415347014, 44.99999999999, 35.85652010693]
14086  ],
14087  [
14088  [10,5,1,3,8,12],
14089  [11,13,9,4,2,6],
14090  [9,13,12,8],
14091  [4,9,8,3],
14092  [6,2,1,5],
14093  [13,11,10,12],
14094  [1,0,3],
14095  [0,4,3],
14096  [2,0,1],
14097  [4,0,2],
14098  [10,7,5],
14099  [7,6,5],
14100  [11,7,10],
14101  [6,7,11]
14102  ],
14103  [
14104  [0,1],
14105  [0,2],
14106  [0,3],
14107  [0,4],
14108  [1,2],
14109  [1,3],
14110  [1,5],
14111  [2,4],
14112  [2,6],
14113  [3,4],
14114  [3,8],
14115  [4,9],
14116  [5,6],
14117  [5,7],
14118  [5,10],
14119  [6,7],
14120  [6,11],
14121  [7,10],
14122  [7,11],
14123  [8,9],
14124  [8,12],
14125  [9,13],
14126  [10,11],
14127  [10,12],
14128  [11,13],
14129  [12,13]
14130  ]
14131  ],
14132  [
14133  "johnson_metabiaugmented_truncated_dodecahedron",
14134  "Metabiaugmented Truncated Dodecahedron",
14135  "J70",
14136  "johnson",
14137  "Polyhedron Database #114",
14138  [
14139  [-0.66818117088, 0.60033076150, 0.25439741143],
14140  [-0.66818117088, 0.43567601216, 0.52081439227],
14141  [-0.38805377963, 0.71947605740, 0.32803325390],
14142  [-0.38805377963, 0.55482130806, 0.59445023474],
14143  [-0.82477714317, 0.43567601216, 0.03886154634],
14144  [-0.82477714317, 0.16925903132, 0.46993327652],
14145  [-0.48483541301, 0.71947605740, 0.03017001414],
14146  [-0.48483541301, 0.28840432722, 0.72765872515],
14147  [-0.92155877655, 0.16925903132, 0.17207003676],
14148  [-0.13467617395, 0.71947605740, 0.51212286007],
14149  [-0.64143138531, 0.55482130806, -0.18536585095],
14150  [-0.64143138531, 0.02198734639, 0.67677760940],
14151  [-0.38805377963, 0.71947605740, -0.26769322561],
14152  [-0.79802735760, 0.28840432722, -0.23624696670],
14153  [-0.79802735760, -0.14266740295, 0.46124174432],
14154  [-0.38805377963, 0.02198734639, 0.86086721557],
14155  [ 0.17851577064, 0.71947605740, 0.51212286007],
14156  [-0.89480899098, 0.02198734639, -0.10303847628],
14157  [-0.89480899098, -0.14266740295, 0.16337850456],
14158  [-0.13467617395, 0.71947605740, -0.45178283178],
14159  [-0.79802735760, 0.02198734639, -0.40090171603],
14160  [-0.79802735760, -0.40908438379, 0.29658699498],
14161  [-0.13467617395, -0.14266740295, 0.94319459024],
14162  [ 0.43189337632, 0.71947605740, 0.32803325390],
14163  [ 0.43189337632, 0.55482130806, 0.59445023474],
14164  [ 0.17851577064, 0.71947605740, -0.45178283178],
14165  [ 0.17851577064, -0.14266740295, 0.94319459024],
14166  [ 0.52867500970, 0.71947605740, 0.03017001414],
14167  [ 0.52867500970, 0.28840432722, 0.72765872515],
14168  [ 0.02191979834, 0.55482130806, -0.66731869687],
14169  [ 0.43189337632, 0.71947605740, -0.26769322561],
14170  [-0.64143138531, -0.14266740295, -0.61643758112],
14171  [ 0.43189337632, 0.02198734639, 0.86086721557],
14172  [-0.64143138531, -0.67550136463, 0.24570587923],
14173  [ 0.02191979834, -0.40908438379, 0.89231347449],
14174  [ 0.44842565299, 0.60033076150, -0.55686493317],
14175  [ 0.02191979834, 0.28840432723, -0.83197344621],
14176  [ 0.68527098200, 0.55482130806, -0.18536585095],
14177  [-0.38805377963, -0.14266740295, -0.80052718729],
14178  [ 0.68527098199, 0.02198734639, 0.67677760940],
14179  [-0.38805377963, -0.84015611396, 0.32803325390],
14180  [ 0.02191979834, -0.67550136463, 0.72765872515],
14181  [ 0.29182968069, 0.43567601216, -0.77240079826],
14182  [-0.48483541301, -0.40908438379, -0.66731869687],
14183  [-0.48483541301, -0.84015611396, 0.03017001414],
14184  [-0.13467617395, 0.02198734639, -0.88285456196],
14185  [-0.13467617395, -0.84015611396, 0.51212286007],
14186  [ 0.70180325867, 0.43567601216, -0.47453755850],
14187  [-0.38805377963, -0.67550136463, -0.53411020645],
14188  [-0.38805377963, -0.84015611396, -0.26769322562],
14189  [ 0.17851577064, 0.02198734639, -0.88285456196],
14190  [ 0.84186695429, 0.28840432722, -0.23624696670],
14191  [ 0.84186695429, -0.14266740295, 0.46124174432],
14192  [ 0.17851577064, -0.84015611396, 0.51212286007],
14193  [ 0.44842565299, 0.16925903132, -0.82328191401],
14194  [ 0.70180325867, 0.16925903132, -0.63919230784],
14195  [ 0.93864858767, 0.02198734639, -0.10303847628],
14196  [ 0.93864858767, -0.14266740295, 0.16337850456],
14197  [-0.13467617395, -0.84015611396, -0.45178283178],
14198  [ 0.43189337632, -0.14266740295, -0.80052718729],
14199  [ 0.84186695429, 0.02198734639, -0.40090171603],
14200  [ 0.84186695429, -0.40908438379, 0.29658699498],
14201  [ 0.43189337632, -0.84015611396, 0.32803325390],
14202  [ 0.68527098199, -0.14266740295, -0.61643758112],
14203  [ 0.68527098199, -0.67550136463, 0.24570587923],
14204  [ 0.17851577064, -0.84015611396, -0.45178283178],
14205  [ 0.52867500970, -0.40908438379, -0.66731869687],
14206  [ 0.52867500970, -0.84015611396, 0.03017001414],
14207  [ 0.43189337632, -0.67550136463, -0.53411020645],
14208  [ 0.43189337632, -0.84015611396, -0.26769322562]
14209  ],
14210  [
14211  [0.93358510231, 138.06173000477, 74.18720315277],
14212  [0.95264227068, 146.89433256115, 56.85873829753],
14213  [0.88081629681, 118.34047371993, 68.13508204868],
14214  [0.90099028926, 124.96975685783, 48.71733832669],
14215  [0.93358510231, 152.15542564733, 87.61430842656],
14216  [0.96423194303, 168.40289318130, 60.83243712699],
14217  [0.86811370490, 123.97496206683, 88.00836845451],
14218  [0.92072235444, 149.25370372981, 37.78524082960],
14219  [0.95264227068, 169.59270165933, 79.59389312691],
14220  [0.89333828576, 100.60229971210, 55.02152324377],
14221  [0.86811370490, 139.14105502438, 102.32913315247],
14222  [0.93270874235, 178.03675170248, 43.48084621557],
14223  [0.86016928340, 118.34047371990, 108.13216183987],
14224  [0.88081629681, 160.13031954858, 105.55799709081],
14225  [0.93270874235, -169.86402107737, 60.36199416643],
14226  [0.94454303350, 176.75705620072, 24.29887970046],
14227  [0.90099028926, 76.06522828282, 55.36127348735],
14228  [0.90099028926, 178.59240496263, 96.56679074598],
14229  [0.92072235444, -170.94106941432, 79.77896790972],
14230  [0.86016928340, 100.60229971208, 121.68342424626],
14231  [0.89333828576, 178.42177901696, 116.66467330405],
14232  [0.94454303350, -152.85943813919, 71.69951390841],
14233  [0.96338346195, -133.34956679214, 11.75047499343],
14234  [0.90099028926, 59.02408059676, 68.64897626500],
14235  [0.92072235444, 52.10149359181, 49.78672561873],
14236  [0.86811370490, 76.06522828284, 121.36035872664],
14237  [0.97048333489, -38.63137793734, 13.61941034978],
14238  [0.89333828576, 53.69134721478, 88.06462649888],
14239  [0.94454303350, 28.61347820378, 39.61181698889],
14240  [0.86811370490, 87.73754344443, 140.23726129595],
14241  [0.88081629681, 59.02408059678, 107.69289557544],
14242  [0.90099028926, -167.46037423764, 133.17098241028],
14243  [0.96338346195, 2.91436628467, 26.67245590466],
14244  [0.96338346195, -133.51804832378, 75.22376410744],
14245  [0.98186243811, -86.93287717127, 24.66039123927],
14246  [0.93358510231, 53.24158127963, 126.61821699332],
14247  [0.88081629681, 85.65366439861, 160.82995871383],
14248  [0.90099028926, 38.99494026567, 101.87256851131],
14249  [0.90099028926, -159.81412256490, 152.68498654371],
14250  [0.96338346195, 1.83774031102, 45.37201414303],
14251  [0.98186243811, -114.79140976514, 70.48261384860],
14252  [0.99311116773, -88.14142286061, 42.88625198659],
14253  [0.93358510231, 56.18456363744, 145.82738215450],
14254  [0.92072235444, -139.84368945518, 136.45032811212],
14255  [0.97048333489, -119.98828863954, 88.21852372856],
14256  [0.89333828576, 170.72764701318, 171.21355734678],
14257  [0.99311116773, -99.10697923282, 58.95739897915],
14258  [0.95264227068, 31.83180698459, 119.87621057883],
14259  [0.94454303350, -119.87598020527, 124.43489540067],
14260  [0.96338346195, -114.79140976514, 106.13298839791],
14261  [0.90099028926, 7.02161557054, 168.48467373611],
14262  [0.92072235444, 18.91028488619, 104.86774444881],
14263  [0.97048333489, -9.61827819504, 61.62306013888],
14264  [1.00000000000, -78.00423628262, 59.19466387860],
14265  [0.95264227068, 20.67910013500, 149.79249260302],
14266  [0.96423194303, 13.55949803502, 131.52165445315],
14267  [0.94454303350, 1.34187791515, 96.26275556695],
14268  [0.96338346195, -8.64237406268, 80.23612074132],
14269  [0.96338346195, -99.10697923282, 117.96644026808],
14270  [0.92072235444, -18.27994669415, 150.39543571783],
14271  [0.93270874235, 1.49607467299, 115.45646702172],
14272  [0.98186243811, -25.91628579880, 72.41828196253],
14273  [1.00000000000, -62.79396984972, 70.85055459392],
14274  [0.93270874235, -11.76048501692, 131.36939717911],
14275  [0.99311116773, -44.58865402664, 75.67568330577],
14276  [0.97048333489, -78.00423628260, 117.74410953458],
14277  [0.94454303350, -37.73241017492, 134.95077255466],
14278  [0.99311116773, -57.81951398921, 88.25912693878],
14279  [0.96338346195, -57.40648803178, 123.67014249249],
14280  [0.98186243811, -62.79396984970, 105.82131670293]
14281  ],
14282  [
14283  [46,53,62,67,69,65,58,49,44,40],
14284  [53,46,41],
14285  [15,22,34,41,46,40,33,21,14,11],
14286  [34,22,26],
14287  [40,44,33],
14288  [17,18,21,33,44,49,48,43,31,20],
14289  [21,18,14],
14290  [49,58,48],
14291  [45,38,43,48,58,65,68,66,59,50],
14292  [43,38,31],
14293  [65,69,68],
14294  [60,63,66,68,69,67,64,61,57,56],
14295  [66,63,59],
14296  [67,62,64],
14297  [39,52,61,64,62,53,41,34,26,32],
14298  [61,52,57],
14299  [9,2,6,12,19,25,30,27,23,16],
14300  [2,9,3],
14301  [22,15,7,3,9,16,24,28,32,26],
14302  [7,15,11],
14303  [16,23,24],
14304  [52,39,28,24,23,27,37,51,56,57],
14305  [28,39,32],
14306  [27,30,37],
14307  [56,51,60],
14308  [25,19,29],
14309  [38,45,36,29,19,12,10,13,20,31],
14310  [36,45,50],
14311  [12,6,10],
14312  [20,13,17],
14313  [1,5,8,4,0],
14314  [10,6,0,4],
14315  [13,10,4],
14316  [17,13,4,8],
14317  [18,17,8],
14318  [14,18,8,5],
14319  [11,14,5],
14320  [7,11,5,1],
14321  [7,1,3],
14322  [2,3,1,0],
14323  [6,2,0],
14324  [42,54,55,47,35],
14325  [37,30,35,47],
14326  [51,37,47],
14327  [60,51,47,55],
14328  [63,60,55],
14329  [59,63,55,54],
14330  [50,59,54],
14331  [36,50,54,42],
14332  [36,42,29],
14333  [25,29,42,35],
14334  [30,25,35]
14335  ],
14336  [
14337  [0,1],
14338  [0,2],
14339  [0,4],
14340  [0,6],
14341  [1,3],
14342  [1,5],
14343  [1,7],
14344  [2,3],
14345  [2,6],
14346  [2,9],
14347  [3,7],
14348  [3,9],
14349  [4,8],
14350  [4,10],
14351  [4,13],
14352  [5,8],
14353  [5,11],
14354  [5,14],
14355  [6,10],
14356  [6,12],
14357  [7,11],
14358  [7,15],
14359  [8,17],
14360  [8,18],
14361  [9,16],
14362  [10,12],
14363  [10,13],
14364  [11,14],
14365  [11,15],
14366  [12,19],
14367  [13,17],
14368  [13,20],
14369  [14,18],
14370  [14,21],
14371  [15,22],
14372  [16,23],
14373  [16,24],
14374  [17,18],
14375  [17,20],
14376  [18,21],
14377  [19,25],
14378  [19,29],
14379  [20,31],
14380  [21,33],
14381  [22,26],
14382  [22,34],
14383  [23,24],
14384  [23,27],
14385  [24,28],
14386  [25,29],
14387  [25,30],
14388  [25,35],
14389  [26,32],
14390  [26,34],
14391  [27,30],
14392  [27,37],
14393  [28,32],
14394  [28,39],
14395  [29,36],
14396  [29,42],
14397  [30,35],
14398  [30,37],
14399  [31,38],
14400  [31,43],
14401  [32,39],
14402  [33,40],
14403  [33,44],
14404  [34,41],
14405  [35,42],
14406  [35,47],
14407  [36,42],
14408  [36,45],
14409  [36,50],
14410  [37,47],
14411  [37,51],
14412  [38,43],
14413  [38,45],
14414  [39,52],
14415  [40,44],
14416  [40,46],
14417  [41,46],
14418  [41,53],
14419  [42,54],
14420  [43,48],
14421  [44,49],
14422  [45,50],
14423  [46,53],
14424  [47,51],
14425  [47,55],
14426  [48,49],
14427  [48,58],
14428  [49,58],
14429  [50,54],
14430  [50,59],
14431  [51,56],
14432  [51,60],
14433  [52,57],
14434  [52,61],
14435  [53,62],
14436  [54,55],
14437  [54,59],
14438  [55,60],
14439  [55,63],
14440  [56,57],
14441  [56,60],
14442  [57,61],
14443  [58,65],
14444  [59,63],
14445  [59,66],
14446  [60,63],
14447  [61,64],
14448  [62,64],
14449  [62,67],
14450  [63,66],
14451  [64,67],
14452  [65,68],
14453  [65,69],
14454  [66,68],
14455  [67,69],
14456  [68,69]
14457  ]
14458  ],
14459  [
14460  "johnson_metabidiminished_icosahedron",
14461  "Metabidiminished Icosahedron",
14462  "J62",
14463  "johnson",
14464  "Polyhedron Database #106",
14465  [
14466  [ 0.04819488343, 0.35929506613, 0.75360576470],
14467  [ 0.53014371769, -0.46064526478, 0.59701109587],
14468  [ 0.82800447811, 0.35929506613, 0.18704093042],
14469  [-0.43375395084, -0.46064526478, 0.59701109587],
14470  [ 0.04819488343, 0.86604605937, -0.06633456621],
14471  [ 0.82800447811, -0.46064526478, -0.31971006283],
14472  [-0.73161471125, 0.35929506613, 0.18704093042],
14473  [-0.73161471125, -0.46064526478, -0.31971006283],
14474  [-0.43375395084, 0.35929506613, -0.72968022828],
14475  [ 0.04819488343, -0.46064526478, -0.88627489711]
14476  ],
14477  [
14478  [0.83626391762, 82.36010002814, 25.68932334532],
14479  [0.92177473927, -40.98758509987, 49.63341231685],
14480  [0.92177473927, 23.45741502350, 78.29259060583],
14481  [0.86991884588, -133.27784422807, 46.66335588017],
14482  [0.86991884588, 86.81481352879, 94.37326267714],
14483  [1.00000000000, -29.08858119332, 108.64539162511],
14484  [0.83626391762, 153.84440324035, 77.07575553197],
14485  [0.92177473927, -147.80432410417, 110.29427021590],
14486  [0.92177473927, 140.36374154976, 142.33562661115],
14487  [1.00000000000, -84.02717517055, 152.40882117487]
14488  ],
14489  [
14490  [5,9,7,3,1],
14491  [4,8,9,5,2],
14492  [0,3,6],
14493  [1,3,0],
14494  [2,5,1],
14495  [0,2,1],
14496  [0,4,2],
14497  [6,8,4],
14498  [0,6,4],
14499  [8,7,9],
14500  [8,6,7],
14501  [6,3,7]
14502  ],
14503  [
14504  [0,1],
14505  [0,2],
14506  [0,3],
14507  [0,4],
14508  [0,6],
14509  [1,2],
14510  [1,3],
14511  [1,5],
14512  [2,4],
14513  [2,5],
14514  [3,6],
14515  [3,7],
14516  [4,6],
14517  [4,8],
14518  [5,9],
14519  [6,7],
14520  [6,8],
14521  [7,8],
14522  [7,9],
14523  [8,9]
14524  ]
14525  ],
14526  [
14527  "johnson_metabidiminished_rhombicosidodecahedron",
14528  "Metabidiminished Rhombicosidodecahedron",
14529  "J81",
14530  "johnson",
14531  "Polyhedron Database #125",
14532  [
14533  [-0.79612575929, -0.32884175635, -0.08997483629],
14534  [-0.79612575929, 0.01981001981, -0.30545348419],
14535  [-0.79612575929, -0.11336310845, 0.25867693987],
14536  [-0.79612575929, 0.23528866771, 0.04319829197],
14537  [-0.66947058787, -0.32884175635, -0.47977937227],
14538  [-0.59119338708, -0.67749353251, -0.02338827216],
14539  [-0.66947058787, 0.23528866771, 0.43300282795],
14540  [-0.59119338708, -0.32884175635, 0.54074215190],
14541  [-0.59119338708, 0.23528866771, -0.58751869622],
14542  [-0.46453821566, -0.67749353251, -0.41319280814],
14543  [-0.46453821566, -0.67749353251, 0.36641626382],
14544  [-0.59119338708, 0.58394044387, -0.02338827216],
14545  [-0.46453821566, -0.11336310844, -0.76184458430],
14546  [-0.46453821566, 0.01981001981, 0.71506803998],
14547  [-0.46453821566, 0.58394044387, -0.41319280814],
14548  [-0.46453821566, 0.58394044387, 0.36641626382],
14549  [-0.25960584345, -0.32884175635, 0.78165460411],
14550  [-0.25960584345, 0.23528866771, -0.82843114843],
14551  [-0.13295067202, -0.67749353251, -0.65410526035],
14552  [-0.13295067202, -0.32884175635, -0.86958390825],
14553  [-0.13295067202, -0.67749353251, 0.60732871603],
14554  [-0.25960584345, 0.79941909177, 0.08435105179],
14555  [-0.13295067202, 0.58394044387, -0.65410526035],
14556  [-0.13295067202, 0.23528866771, 0.82280736393],
14557  [-0.13295067202, 0.79941909177, -0.30545348419],
14558  [-0.13295067202, 0.58394044387, 0.60732871603],
14559  [ 0.07198170019, 0.01981001981, -0.93617047238],
14560  [ 0.07198170019, -0.11336310845, 0.88939392806],
14561  [ 0.27691407240, -0.67749353251, -0.65410526035],
14562  [ 0.07198170019, 0.79941909177, 0.32526350400],
14563  [ 0.27691407240, -0.32884175635, -0.86958390825],
14564  [ 0.27691407240, -0.67749353251, 0.60732871603],
14565  [ 0.27691407240, 0.58394044387, -0.65410526035],
14566  [ 0.27691407240, 0.23528866771, 0.82280736393],
14567  [ 0.27691407240, 0.79941909177, -0.30545348419],
14568  [ 0.27691407240, 0.58394044387, 0.60732871603],
14569  [ 0.40356924382, -0.32884175635, 0.78165460411],
14570  [ 0.40356924382, 0.23528866771, -0.82843114843],
14571  [ 0.60850161603, -0.67749353251, -0.41319280814],
14572  [ 0.40356924382, 0.79941909177, 0.08435105179],
14573  [ 0.60850161603, -0.67749353251, 0.36641626382],
14574  [ 0.60850161603, -0.11336310844, -0.76184458430],
14575  [ 0.60850161603, 0.01981001981, 0.71506803998],
14576  [ 0.73515678745, -0.67749353251, -0.02338827216],
14577  [ 0.60850161603, 0.58394044387, 0.36641626382],
14578  [ 0.73515678745, -0.32884175635, 0.54074215190],
14579  [ 0.81343398824, -0.32884175635, -0.47977937227],
14580  [ 0.81343398824, 0.23528866771, 0.43300282795],
14581  [ 0.94008915966, -0.32884175635, -0.08997483629],
14582  [ 0.94008915966, -0.11336310845, 0.25867693987]
14583  ],
14584  [
14585  [0.86605346053, -157.55680376220, 95.96325455844],
14586  [0.85294225625, 178.57460163322, 110.98462555635],
14587  [0.84473734272, -171.89593457093, 72.16831812031],
14588  [0.83129000607, 163.53537227364, 87.02126201391],
14589  [0.88685738132, -153.83988066564, 122.75093479886],
14590  [0.89947435694, -131.10855239305, 91.48998170361],
14591  [0.83129000607, 160.63572888912, 58.60866178301],
14592  [0.86605346053, -150.91570823296, 51.36366929030],
14593  [0.86605346053, 158.29797152461, 132.71766157967],
14594  [0.91952245057, -124.43733388196, 116.70236456370],
14595  [0.89947435694, -124.43733388196, 65.96045265335],
14596  [0.83129000607, 135.35362589967, 91.61222452964],
14597  [0.89947435694, -166.28592578121, 147.88563501278],
14598  [0.85294225625, 177.55812719076, 33.03322781967],
14599  [0.85294225625, 128.50306555185, 118.97528718576],
14600  [0.83129000607, 128.50306555186, 63.84632162630],
14601  [0.88685738132, -128.28951171499, 28.19123079338],
14602  [0.89947435694, 137.81302751519, 157.07521199725],
14603  [0.95106627497, -101.10258355924, 133.45304725994],
14604  [0.93914267042, -112.01347609134, 157.80958253687],
14605  [0.91952245057, -101.10258355926, 48.66329961921],
14606  [0.84473734272, 107.99084811858, 84.26919253436],
14607  [0.88685738132, 102.82637014164, 137.52347354158],
14608  [0.86605346053, 119.46876936925, 18.18288150233],
14609  [0.86605346053, 99.44238786020, 110.65229588036],
14610  [0.85294225625, 102.82637014166, 44.59888890327],
14611  [0.93914267042, 15.38738952742, 175.44041496423],
14612  [0.89947435694, -57.58584792519, 8.58596617928],
14613  [0.98159695481, -67.76853747707, 131.78739646548],
14614  [0.86605346053, 84.85481947591, 67.94046716717],
14615  [0.97004869862, -49.89963289595, 153.69312390162],
14616  [0.95106627497, -67.76853747709, 50.31423441000],
14617  [0.91952245057, 64.62892993779, 135.34512433192],
14618  [0.89947435694, 40.35392897538, 23.82767074809],
14619  [0.89947435694, 70.89421531420, 109.85196349557],
14620  [0.88685738132, 64.62892993779, 46.77934117876],
14621  [0.93914267042, -39.17430281626, 33.66358843716],
14622  [0.95106627497, 30.24301168599, 150.58148371073],
14623  [1.00000000000, -48.07089785432, 114.40556045556],
14624  [0.89947435694, 63.21407138988, 84.61900031571],
14625  [0.98159695481, -48.07089785433, 68.08159189904],
14626  [0.98159695481, -10.55315342487, 140.90738566729],
14627  [0.93914267042, 1.86462905420, 40.41177254626],
14628  [1.00000000000, -42.66252981733, 91.34017148523],
14629  [0.91952245057, 43.82002439112, 66.51647291459],
14630  [0.97004869862, -24.09936572676, 56.12118676304],
14631  [1.00000000000, -22.01169124502, 118.67099346240],
14632  [0.95106627497, 16.13270043692, 62.91695564466],
14633  [1.00000000000, -19.27975923521, 95.16215944298],
14634  [0.98159695481, -6.87596095407, 74.72057657713]
14635  ],
14636  [
14637  [35,29,39,44],
14638  [25,29,35],
14639  [25,15,21,29],
14640  [29,21,24,34,39],
14641  [15,11,21],
14642  [6,3,11,15],
14643  [21,11,14,24],
14644  [14,22,24],
14645  [14,8,17,22],
14646  [11,3,1,8,14],
14647  [8,12,17],
14648  [1,4,12,8],
14649  [33,23,25,35],
14650  [27,23,33],
14651  [27,16,13,23],
14652  [23,13,6,15,25],
14653  [16,7,13],
14654  [20,10,7,16],
14655  [13,7,2,6],
14656  [2,3,6],
14657  [2,0,1,3],
14658  [7,10,5,0,2],
14659  [0,4,1],
14660  [5,9,4,0],
14661  [42,36,27,33],
14662  [45,36,42],
14663  [45,40,31,36],
14664  [36,31,20,16,27],
14665  [28,18,9,5,10,20,31,40,43,38],
14666  [47,49,45,42],
14667  [44,39,34,32,37,41,46,48,49,47],
14668  [49,48,43,40,45],
14669  [48,46,38,43],
14670  [46,41,30,28,38],
14671  [30,19,18,28],
14672  [24,22,32,34],
14673  [37,26,30,41],
14674  [32,22,17,26,37],
14675  [26,19,30],
14676  [17,12,19,26],
14677  [47,42,33,35,44],
14678  [12,4,9,18,19]
14679  ],
14680  [
14681  [0,1],
14682  [0,2],
14683  [0,4],
14684  [0,5],
14685  [1,3],
14686  [1,4],
14687  [1,8],
14688  [2,3],
14689  [2,6],
14690  [2,7],
14691  [3,6],
14692  [3,11],
14693  [4,9],
14694  [4,12],
14695  [5,9],
14696  [5,10],
14697  [6,13],
14698  [6,15],
14699  [7,10],
14700  [7,13],
14701  [7,16],
14702  [8,12],
14703  [8,14],
14704  [8,17],
14705  [9,18],
14706  [10,20],
14707  [11,14],
14708  [11,15],
14709  [11,21],
14710  [12,17],
14711  [12,19],
14712  [13,16],
14713  [13,23],
14714  [14,22],
14715  [14,24],
14716  [15,21],
14717  [15,25],
14718  [16,20],
14719  [16,27],
14720  [17,22],
14721  [17,26],
14722  [18,19],
14723  [18,28],
14724  [19,26],
14725  [19,30],
14726  [20,31],
14727  [21,24],
14728  [21,29],
14729  [22,24],
14730  [22,32],
14731  [23,25],
14732  [23,27],
14733  [23,33],
14734  [24,34],
14735  [25,29],
14736  [25,35],
14737  [26,30],
14738  [26,37],
14739  [27,33],
14740  [27,36],
14741  [28,30],
14742  [28,38],
14743  [29,35],
14744  [29,39],
14745  [30,41],
14746  [31,36],
14747  [31,40],
14748  [32,34],
14749  [32,37],
14750  [33,35],
14751  [33,42],
14752  [34,39],
14753  [35,44],
14754  [36,42],
14755  [36,45],
14756  [37,41],
14757  [38,43],
14758  [38,46],
14759  [39,44],
14760  [40,43],
14761  [40,45],
14762  [41,46],
14763  [42,45],
14764  [42,47],
14765  [43,48],
14766  [44,47],
14767  [45,49],
14768  [46,48],
14769  [47,49],
14770  [48,49]
14771  ]
14772  ],
14773  [
14774  "johnson_metabigyrate_rhombicosidodecahedron",
14775  "Metabigyrate Rhombicosidodecahedron",
14776  "J74",
14777  "johnson",
14778  "Polyhedron Database #118",
14779  [
14780  [-0.58622753083, -0.68915166553, 0.42591916311],
14781  [-0.72461706486, -0.68915163540, -0.00000001599],
14782  [-0.22391906247, -0.92459403303, 0.30819798579],
14783  [-0.36230859650, -0.92459400290, -0.11772119331],
14784  [-0.22391903382, -0.68915171427, 0.68915169005],
14785  [-0.58622753760, -0.68915163540, -0.42591919728],
14786  [-0.72461701850, -0.30819796126, 0.61639602565],
14787  [-0.94853598825, -0.30819791252, -0.07275568259],
14788  [ 0.22391886609, -0.92459408177, 0.30819798223],
14789  [-0.00000010366, -0.92459403303, -0.38095372601],
14790  [-0.94853595960, -0.07275559376, 0.30819802167],
14791  [-0.36230852149, -0.30819801001, 0.87962855259],
14792  [ 0.22391889474, -0.68915176302, 0.68915168650],
14793  [-0.81014646098, -0.30819791252, -0.49867486389],
14794  [-0.22391904476, -0.68915166553, -0.68915172998],
14795  [ 0.36230839335, -0.92459408177, -0.11772119906],
14796  [-0.58622744488, 0.07275571287, 0.80687288599],
14797  [-0.98678586534, 0.13783044817, -0.08518382070],
14798  [ 0.58622738757, -0.68915179314, 0.42591915380],
14799  [ 0.22391888379, -0.68915171427, -0.68915173354],
14800  [-0.81014638597, 0.30819808037, 0.49867488201],
14801  [-0.00000000000, -0.07275572138, 0.99734972415],
14802  [ 0.36230846836, -0.30819808888, 0.87962854684],
14803  [-0.84839633807, 0.13783044817, -0.51110300199],
14804  [-0.58622747353, -0.07275559376, -0.80687287142],
14805  [-0.22391900516, -0.30819796126, -0.92459404874],
14806  [ 0.72461691484, -0.68915179314, -0.00000002750],
14807  [ 0.58622738081, -0.68915176302, -0.42591920659],
14808  [-0.22391892339, 0.30819800150, 0.92459405755],
14809  [-0.84839629171, 0.51878412230, 0.10529303964],
14810  [ 0.72461696120, -0.30819811901, 0.61639601414],
14811  [ 0.22391892339, -0.30819801001, -0.92459405229],
14812  [-0.58622738081, 0.68915175451, 0.42591921185],
14813  [ 0.22391900516, 0.30819795276, 0.92459405400],
14814  [ 0.58622747353, 0.07275558526, 0.80687287668],
14815  [-0.62447733291, 0.51878412230, -0.58385867215],
14816  [-0.36230846836, 0.30819811564, -0.87962861212],
14817  [ 0.00000000000, 0.07275573467, -0.99734976249],
14818  [ 0.94853592001, -0.30819811901, -0.07275569766],
14819  [ 0.81014638597, -0.30819808888, -0.49867487675],
14820  [-0.22391888379, 0.68915170576, 0.68915173880],
14821  [-0.62447730425, 0.75422644106, -0.20290496789],
14822  [ 0.94853594866, -0.07275580025, 0.30819800661],
14823  [ 0.58622744488, -0.07275572138, -0.80687288073],
14824  [-0.36230839335, 0.92459407326, 0.11772120432],
14825  [ 0.22391904476, 0.68915165702, 0.68915173524],
14826  [ 0.81014646098, 0.30819790401, 0.49867486915],
14827  [-0.22391889474, 0.68915177631, -0.68915172484],
14828  [ 0.36230852149, 0.30819800150, -0.87962854733],
14829  [ 0.98678589399, 0.13783023336, -0.08518383637],
14830  [ 0.84839635996, 0.13783026348, -0.51110301547],
14831  [ 0.00000010366, 0.92459407326, 0.38095373126],
14832  [-0.22391886609, 0.92459407326, -0.30819797698],
14833  [ 0.58622753760, 0.68915162689, 0.42591920254],
14834  [ 0.22391903382, 0.68915170576, -0.68915168479],
14835  [ 0.84839640632, 0.51878393762, 0.10529302617],
14836  [ 0.62447743657, 0.51878398636, -0.58385868207],
14837  [ 0.36230859650, 0.92459407326, 0.11772119857],
14838  [ 0.22391906247, 0.92459407326, -0.30819798053],
14839  [ 0.62447746522, 0.75422630512, -0.20290497781]
14840  ],
14841  [
14842  [0.99999993475, -130.38618283979, 64.79114092254],
14843  [0.99999993363, -136.43700546014, 90.00000091615],
14844  [0.99999993544, -103.61382831907, 72.04933254486],
14845  [0.99999993432, -111.39807518933, 96.76060479242],
14846  [0.99999993544, -108.00000512538, 46.43700123757],
14847  [0.99999993251, -130.38618440217, 115.20886130219],
14848  [0.99999993363, -156.95872231601, 51.94656884902],
14849  [0.99999993182, -162.00000615475, 94.17228028590],
14850  [0.99999993544, -76.38618386711, 72.04933275902],
14851  [0.99999993363, -90.00000642377, 112.39277272314],
14852  [0.99999993182, -175.61382775587, 72.04933031666],
14853  [0.99999993432, -139.61382488750, 28.40240467772],
14854  [0.99999993544, -72.00000652430, 46.43700151874],
14855  [0.99999993070, -159.17206080316, 119.91237064150],
14856  [0.99999993182, -108.00000713941, 133.56300211723],
14857  [0.99999993432, -68.60193738376, 96.76060512438],
14858  [0.99999993251, 172.92529174846, 36.20847523865],
14859  [0.99999992989, 172.04858909635, 94.88659570141],
14860  [0.99999993475, -49.61382930662, 64.79114151209],
14861  [0.99999993182, -72.00000615624, 133.56300239840],
14862  [0.99999993070, 159.17204866998, 60.08762816051],
14863  [0.99999993363, -89.99999999999, 4.17228250656],
14864  [0.99999993432, -40.38618649494, 28.40240537076],
14865  [0.99999992877, 170.77234801598, 120.73733054171],
14866  [0.99999992889, -172.92530355529, 143.79152363199],
14867  [0.99999992958, -126.00000964425, 157.60723020326],
14868  [0.99999993363, -43.56300701251, 90.00000157545],
14869  [0.99999993251, -49.61382839675, 115.20886189174],
14870  [0.99999993182, 125.99999613716, 22.39276878253],
14871  [0.99999992877, 148.55471598604, 83.95594948326],
14872  [0.99999993363, -23.04128987788, 51.94656968630],
14873  [0.99999992958, -54.00000461496, 157.60723073807],
14874  [0.99999992889, 130.38617195233, 64.79113767754],
14875  [0.99999993182, 53.99998960361, 22.39276931734],
14876  [0.99999993251, 7.07469562579, 36.20847614159],
14877  [0.99999992696, 140.28191545237, 125.72240430111],
14878  [1.00000000000, 139.61381104942, 151.59759553449],
14879  [0.99999997284, 89.99999999999, 175.82771689372],
14880  [0.99999993182, -18.00000633842, 94.17228115124],
14881  [0.99999993070, -20.82795185563, 119.91237149191],
14882  [0.99999992958, 107.99999405161, 46.43699706381],
14883  [0.99999992696, 129.62375657846, 101.70688614750],
14884  [0.99999993182, -4.38618469425, 72.04933122387],
14885  [0.99999992889, -7.07470907043, 143.79152453494],
14886  [0.99999992708, 111.39806279532, 83.23939452301],
14887  [0.99999992958, 71.99999265270, 46.43699734497],
14888  [0.99999993070, 20.82793867121, 60.08762901093],
14889  [0.99999997103, 107.99999315092, 133.56299957391],
14890  [0.99999992708, 40.38617433191, 151.59759545680],
14891  [0.99999992989, 7.95139844173, 94.88659660254],
14892  [0.99999992877, 9.22763959809, 120.73733143981],
14893  [0.99999997284, 89.99999357622, 67.60722787656],
14894  [0.99999992596, 103.61381625349, 107.95066710038],
14895  [0.99999992889, 49.61381524873, 64.79113826708],
14896  [0.99999992596, 71.99999466673, 133.56299886360],
14897  [0.99999992877, 31.44527149101, 83.95595025951],
14898  [0.99999992696, 39.71807249309, 125.72240500098],
14899  [1.00000000000, 68.60192629184, 83.23939535028],
14900  [0.99999997103, 76.38617225133, 107.95066647798],
14901  [0.99999992696, 50.37623109408, 101.70688672776]
14902  ],
14903  [
14904  [31,25,14,19],
14905  [37,25,31],
14906  [37,36,24,25],
14907  [25,24,13,5,14],
14908  [24,23,13],
14909  [36,35,23,24],
14910  [13,23,17,7],
14911  [17,10,7],
14912  [17,29,20,10],
14913  [23,35,41,29,17],
14914  [29,32,20],
14915  [41,44,32,29],
14916  [43,48,37,31],
14917  [56,54,48],
14918  [56,59,58,54],
14919  [48,54,47,36,37],
14920  [59,57,58],
14921  [55,53,57,59],
14922  [54,58,52,47],
14923  [47,35,36],
14924  [47,52,41,35],
14925  [58,57,51,44,52],
14926  [52,44,41],
14927  [51,40,32,44],
14928  [43,50,56,48],
14929  [39,50,43],
14930  [39,38,49,50],
14931  [50,49,55,59,56],
14932  [38,42,49],
14933  [30,34,46,42],
14934  [49,42,46,55],
14935  [46,53,55],
14936  [53,45,51,57],
14937  [46,34,33,45,53],
14938  [45,40,51],
14939  [33,28,40,45],
14940  [27,26,38,39],
14941  [15,26,27],
14942  [15,8,18,26],
14943  [26,18,30,42,38],
14944  [8,12,18],
14945  [2,4,12,8],
14946  [18,12,22,30],
14947  [22,34,30],
14948  [22,21,33,34],
14949  [12,4,11,21,22],
14950  [21,28,33],
14951  [11,16,28,21],
14952  [19,9,15,27],
14953  [14,9,19],
14954  [14,5,3,9],
14955  [9,3,2,8,15],
14956  [5,1,3],
14957  [13,7,1,5],
14958  [3,1,0,2],
14959  [0,4,2],
14960  [0,6,11,4],
14961  [1,7,10,6,0],
14962  [6,16,11],
14963  [10,20,16,6],
14964  [27,39,43,31,19],
14965  [20,32,40,28,16]
14966  ],
14967  [
14968  [0,1],
14969  [0,2],
14970  [0,4],
14971  [0,6],
14972  [1,3],
14973  [1,5],
14974  [1,7],
14975  [2,3],
14976  [2,4],
14977  [2,8],
14978  [3,5],
14979  [3,9],
14980  [4,11],
14981  [4,12],
14982  [5,13],
14983  [5,14],
14984  [6,10],
14985  [6,11],
14986  [6,16],
14987  [7,10],
14988  [7,13],
14989  [7,17],
14990  [8,12],
14991  [8,15],
14992  [8,18],
14993  [9,14],
14994  [9,15],
14995  [9,19],
14996  [10,17],
14997  [10,20],
14998  [11,16],
14999  [11,21],
15000  [12,18],
15001  [12,22],
15002  [13,23],
15003  [13,24],
15004  [14,19],
15005  [14,25],
15006  [15,26],
15007  [15,27],
15008  [16,20],
15009  [16,28],
15010  [17,23],
15011  [17,29],
15012  [18,26],
15013  [18,30],
15014  [19,27],
15015  [19,31],
15016  [20,29],
15017  [20,32],
15018  [21,22],
15019  [21,28],
15020  [21,33],
15021  [22,30],
15022  [22,34],
15023  [23,24],
15024  [23,35],
15025  [24,25],
15026  [24,36],
15027  [25,31],
15028  [25,37],
15029  [26,27],
15030  [26,38],
15031  [27,39],
15032  [28,33],
15033  [28,40],
15034  [29,32],
15035  [29,41],
15036  [30,34],
15037  [30,42],
15038  [31,37],
15039  [31,43],
15040  [32,40],
15041  [32,44],
15042  [33,34],
15043  [33,45],
15044  [34,46],
15045  [35,36],
15046  [35,41],
15047  [35,47],
15048  [36,37],
15049  [36,47],
15050  [37,48],
15051  [38,39],
15052  [38,42],
15053  [38,49],
15054  [39,43],
15055  [39,50],
15056  [40,45],
15057  [40,51],
15058  [41,44],
15059  [41,52],
15060  [42,46],
15061  [42,49],
15062  [43,48],
15063  [43,50],
15064  [44,51],
15065  [44,52],
15066  [45,51],
15067  [45,53],
15068  [46,53],
15069  [46,55],
15070  [47,52],
15071  [47,54],
15072  [48,54],
15073  [48,56],
15074  [49,50],
15075  [49,55],
15076  [50,56],
15077  [51,57],
15078  [52,58],
15079  [53,55],
15080  [53,57],
15081  [54,56],
15082  [54,58],
15083  [55,59],
15084  [56,59],
15085  [57,58],
15086  [57,59],
15087  [58,59]
15088  ]
15089  ],
15090  [
15091  "johnson_metagyrate_diminished_rhombicosidodecahedron",
15092  "Metagyrate Diminished Rhombicosidodecahedron",
15093  "J78",
15094  "johnson",
15095  "Polyhedron Database #122",
15096  [
15097  [-0.55321297349, -0.01066203605, 0.76143233488],
15098  [-0.34190442063, -0.37016161865, 0.83009064569],
15099  [-0.21130855286, 0.21152092494, 0.87252381538],
15100  [ 0.00000000000, -0.14797865766, 0.94118212618],
15101  [-0.68380884127, -0.37016161865, 0.58168254359],
15102  [ 0.21130855286, 0.21152092494, 0.87252381538],
15103  [-0.76452152635, 0.21152092494, 0.47059106309],
15104  [-0.21130855286, 0.57102050754, 0.65034085439],
15105  [-0.21130855286, -0.72966120124, 0.65034085439],
15106  [ 0.34190442064, -0.37016161865, 0.83009064569],
15107  [-0.89511739413, -0.14797865766, 0.29084127179],
15108  [-0.55321297349, 0.57102050754, 0.40193275229],
15109  [-0.55321297349, -0.72966120124, 0.40193275229],
15110  [ 0.21130855286, 0.57102050754, 0.65034085439],
15111  [ 0.21130855286, -0.72966120124, 0.65034085439],
15112  [ 0.55321297349, -0.01066203605, 0.76143233488],
15113  [-0.89511739413, 0.21152092494, 0.06865831081],
15114  [-0.00000000000, 0.79320346853, 0.35949958260],
15115  [ 0.68380884127, -0.37016161864, 0.58168254359],
15116  [-0.89511739413, -0.37016161865, -0.06865831081],
15117  [-0.68380884127, 0.57102050754, 0.00000000000],
15118  [-0.68380884127, -0.72966120124, 0.00000000000],
15119  [-0.34190442064, 0.79320346853, 0.11109148049],
15120  [ 0.55321297349, 0.57102050754, 0.40193275229],
15121  [ 0.55321297349, -0.72966120124, 0.40193275229],
15122  [ 0.76452152635, 0.21152092494, 0.47059106309],
15123  [-0.89511739413, -0.01066203605, -0.29084127179],
15124  [ 0.34190442063, 0.79320346853, 0.11109148049],
15125  [ 0.89511739413, -0.14797865766, 0.29084127179],
15126  [-0.76452152635, -0.37016161865, -0.47059106309],
15127  [-0.55321297349, 0.57102050754, -0.40193275229],
15128  [-0.55321297349, -0.72966120124, -0.40193275229],
15129  [-0.21130855286, 0.79320346853, -0.29084127179],
15130  [ 0.80061733644, 0.41024740662, 0.09936324084],
15131  [ 0.68380884127, -0.72966120124, -0.00000000000],
15132  [-0.68380884127, 0.21152092494, -0.58168254359],
15133  [ 0.21130855286, 0.79320346853, -0.29084127179],
15134  [ 0.58930878359, 0.63243036761, -0.19147803095],
15135  [ 0.89511739413, -0.37016161864, -0.06865831081],
15136  [ 0.93121320422, 0.05074782403, -0.08038655046],
15137  [-0.55321297349, -0.14797865766, -0.76143233488],
15138  [-0.21130855286, 0.57102050754, -0.65034085439],
15139  [-0.21130855286, -0.72966120124, -0.65034085439],
15140  [ 0.55321297349, -0.72966120124, -0.40193275229],
15141  [-0.34190442064, 0.21152092494, -0.83009064569],
15142  [ 0.21130855286, 0.57102050754, -0.65034085439],
15143  [ 0.21130855286, -0.72966120124, -0.65034085439],
15144  [ 0.76452152635, -0.37016161864, -0.47059106309],
15145  [ 0.58930878359, 0.41024740662, -0.55097761355],
15146  [-0.21130855286, -0.37016161865, -0.87252381538],
15147  [ 0.80061733644, 0.05074782403, -0.48231930274],
15148  [-0.00000000000, -0.01066203605, -0.94118212618],
15149  [ 0.21130855286, -0.37016161865, -0.87252381538],
15150  [ 0.34190442064, 0.21152092494, -0.83009064569],
15151  [ 0.55321297349, -0.14797865766, -0.76143233488]
15152  ],
15153  [
15154  [0.94124251586, -178.89587902821, 36.00505936902],
15155  [0.97106577369, -132.72750132952, 31.25966748279],
15156  [0.92232869119, 134.97122238703, 18.91492540415],
15157  [0.95274418275, -89.99999999984, 8.93526016571],
15158  [0.97106577369, -151.57228676917, 53.20064626834],
15159  [0.92232869119, 45.02877761293, 18.91492540418],
15160  [0.92232869119, 164.53477767263, 59.32147762344],
15161  [0.89087538490, 110.30720654253, 43.11343435831],
15162  [1.00000000000, -106.15091992084, 49.43269423512],
15163  [0.97106577369, -47.27249867034, 31.25966748282],
15164  [0.95274418275, -170.61290105826, 72.22577748954],
15165  [0.89087538490, 134.09252726873, 63.18147713219],
15166  [1.00000000000, -127.16859907789, 66.30094011689],
15167  [0.89087538490, 69.69279345748, 43.11343435833],
15168  [1.00000000000, -73.84908007906, 49.43269423513],
15169  [0.94124251586, -1.10412097171, 36.00505936905],
15170  [0.92232869119, 166.70459888667, 85.73094312146],
15171  [0.87086835536, 90.00000000002, 65.61878155780],
15172  [0.97106577369, -28.42771323074, 53.20064626837],
15173  [0.97106577369, -157.53323421364, 94.05442815562],
15174  [0.89087538490, 140.13613772631, 89.99999999998],
15175  [1.00000000000, -133.14200112373, 89.99999999998],
15176  [0.87086835536, 113.31809665427, 82.67115026512],
15177  [0.89087538490, 45.90747273131, 63.18147713221],
15178  [1.00000000000, -52.83140092202, 66.30094011691],
15179  [0.92232869119, 15.46522232741, 59.32147762347],
15180  [0.94124251586, -179.31756350389, 107.99880557642],
15181  [0.87086835536, 66.68190334577, 82.67115026514],
15182  [0.95274418275, -9.38709894166, 72.22577748957],
15183  [0.97106577369, -154.16493060773, 118.98711799515],
15184  [0.89087538490, 134.09252726874, 116.81852286778],
15185  [1.00000000000, -127.16859907790, 113.69905988308],
15186  [0.87086835536, 104.91709431404, 109.50973258053],
15187  [0.90507685181, 27.13122995115, 83.69711765841],
15188  [1.00000000000, -46.85799887620, 90.00000000001],
15189  [0.92232869119, 162.81172019543, 129.09937175184],
15190  [0.87086835536, 75.08290568603, 109.50973258055],
15191  [0.88539078865, 47.02142951607, 102.48968584521],
15192  [0.97106577369, -22.46676578629, 94.05442815566],
15193  [0.93605308122, 3.11933165579, 94.92652648966],
15194  [0.95274418275, -165.02457730646, 143.05369410522],
15195  [0.89087538490, 110.30720654257, 136.88656564166],
15196  [1.00000000000, -106.15091992088, 130.56730576487],
15197  [1.00000000000, -52.83140092204, 113.69905988310],
15198  [0.92232869119, 148.25678032576, 154.15732953495],
15199  [0.89087538490, 69.69279345752, 136.88656564167],
15200  [1.00000000000, -73.84908007908, 130.56730576487],
15201  [0.97106577369, -25.83506939220, 118.98711799519],
15202  [0.90507685181, 34.84371247594, 127.50013851276],
15203  [0.97106577369, -119.72009459652, 153.96444613297],
15204  [0.93605308122, 3.62689051952, 121.01544898760],
15205  [0.94124251586, -90.00000000107, 179.35096139267],
15206  [0.97106577369, -60.27990540346, 153.96444613298],
15207  [0.92232869119, 31.74321967433, 154.15732953498],
15208  [0.95274418275, -14.97542269348, 143.05369410525]
15209  ],
15210  [
15211  [29,19,21,31],
15212  [26,19,29],
15213  [26,16,10,19],
15214  [19,10,4,12,21],
15215  [16,6,10],
15216  [20,11,6,16],
15217  [10,6,0,4],
15218  [0,1,4],
15219  [0,2,3,1],
15220  [6,11,7,2,0],
15221  [2,5,3],
15222  [7,13,5,2],
15223  [40,35,26,29],
15224  [44,35,40],
15225  [44,41,30,35],
15226  [35,30,20,16,26],
15227  [41,32,30],
15228  [45,36,32,41],
15229  [30,32,22,20],
15230  [22,11,20],
15231  [22,17,7,11],
15232  [32,36,27,17,22],
15233  [17,13,7],
15234  [27,23,13,17],
15235  [49,51,44,40],
15236  [52,51,49],
15237  [52,54,53,51],
15238  [51,53,45,41,44],
15239  [53,48,45],
15240  [54,50,48,53],
15241  [45,48,37,36],
15242  [37,27,36],
15243  [37,33,23,27],
15244  [48,50,39,33,37],
15245  [33,25,23],
15246  [39,28,25,33],
15247  [42,46,52,49],
15248  [31,21,12,8,14,24,34,43,46,42],
15249  [46,43,47,54,52],
15250  [43,34,38,47],
15251  [47,50,54],
15252  [47,38,39,50],
15253  [34,24,18,28,38],
15254  [38,28,39],
15255  [18,15,25,28],
15256  [4,1,8,12],
15257  [14,9,18,24],
15258  [8,1,3,9,14],
15259  [9,15,18],
15260  [3,5,15,9],
15261  [42,49,40,29,31],
15262  [5,13,23,25,15]
15263  ],
15264  [
15265  [0,1],
15266  [0,2],
15267  [0,4],
15268  [0,6],
15269  [1,3],
15270  [1,4],
15271  [1,8],
15272  [2,3],
15273  [2,5],
15274  [2,7],
15275  [3,5],
15276  [3,9],
15277  [4,10],
15278  [4,12],
15279  [5,13],
15280  [5,15],
15281  [6,10],
15282  [6,11],
15283  [6,16],
15284  [7,11],
15285  [7,13],
15286  [7,17],
15287  [8,12],
15288  [8,14],
15289  [9,14],
15290  [9,15],
15291  [9,18],
15292  [10,16],
15293  [10,19],
15294  [11,20],
15295  [11,22],
15296  [12,21],
15297  [13,17],
15298  [13,23],
15299  [14,24],
15300  [15,18],
15301  [15,25],
15302  [16,20],
15303  [16,26],
15304  [17,22],
15305  [17,27],
15306  [18,24],
15307  [18,28],
15308  [19,21],
15309  [19,26],
15310  [19,29],
15311  [20,22],
15312  [20,30],
15313  [21,31],
15314  [22,32],
15315  [23,25],
15316  [23,27],
15317  [23,33],
15318  [24,34],
15319  [25,28],
15320  [25,33],
15321  [26,29],
15322  [26,35],
15323  [27,36],
15324  [27,37],
15325  [28,38],
15326  [28,39],
15327  [29,31],
15328  [29,40],
15329  [30,32],
15330  [30,35],
15331  [30,41],
15332  [31,42],
15333  [32,36],
15334  [32,41],
15335  [33,37],
15336  [33,39],
15337  [34,38],
15338  [34,43],
15339  [35,40],
15340  [35,44],
15341  [36,37],
15342  [36,45],
15343  [37,48],
15344  [38,39],
15345  [38,47],
15346  [39,50],
15347  [40,44],
15348  [40,49],
15349  [41,44],
15350  [41,45],
15351  [42,46],
15352  [42,49],
15353  [43,46],
15354  [43,47],
15355  [44,51],
15356  [45,48],
15357  [45,53],
15358  [46,52],
15359  [47,50],
15360  [47,54],
15361  [48,50],
15362  [48,53],
15363  [49,51],
15364  [49,52],
15365  [50,54],
15366  [51,52],
15367  [51,53],
15368  [52,54],
15369  [53,54]
15370  ]
15371  ],
15372  [
15373  "johnson_parabiaugmented_dodecahedron",
15374  "Parabiaugmented Dodecahedron",
15375  "J59",
15376  "johnson",
15377  "Polyhedron Database #103",
15378  [
15379  [ 0.85065080835, 0.44721359550, -0.27639320225],
15380  [ 0.79854751227, 0.16035745659, 0.25946381511],
15381  [ 0.79854751227, -0.16035745659, -0.25946381511],
15382  [ 0.49352950421, 0.67928508682, 0.16035745659],
15383  [ 0.49352950421, -0.16035745659, 0.67928508682],
15384  [ 0.49352950421, 0.16035745659, -0.67928508682],
15385  [ 0.49352950421, -0.67928508682, -0.16035745659],
15386  [ 0.30501800805, 0.67928508682, -0.41982127170],
15387  [ 0.30501800805, -0.67928508682, 0.41982127170],
15388  [ 0.00000000000, 0.67928508682, 0.51892763023],
15389  [-0.00000000000, 0.16035745659, 0.83964254341],
15390  [ 0.00000000000, -0.16035745659, -0.83964254341],
15391  [ 0.00000000000, -0.67928508682, -0.51892763023],
15392  [-0.30501800805, 0.67928508682, -0.41982127170],
15393  [-0.30501800805, -0.67928508682, 0.41982127170],
15394  [-0.49352950421, 0.67928508682, 0.16035745659],
15395  [-0.49352950421, -0.16035745659, 0.67928508682],
15396  [-0.49352950421, 0.16035745659, -0.67928508682],
15397  [-0.49352950421, -0.67928508682, -0.16035745659],
15398  [-0.79854751227, 0.16035745659, 0.25946381511],
15399  [-0.79854751227, -0.16035745659, -0.25946381511],
15400  [-0.85065080835, -0.44721359550, 0.27639320225]
15401  ],
15402  [
15403  [1.00000000000, 27.73230144770, 106.04505713532],
15404  [0.85481817633, 11.35462809222, 72.33019289294],
15405  [0.85481817633, -11.35462809223, 107.66980710704],
15406  [0.85481817633, 53.99999999999, 79.18768303642],
15407  [0.85481817633, -18.00000000000, 37.37736814064],
15408  [0.85481817633, 17.99999999999, 142.62263185933],
15409  [0.85481817633, -53.99999999999, 100.81231696356],
15410  [0.85481817633, 65.81858573661, 119.41445098643],
15411  [0.85481817633, -65.81858573663, 60.58554901355],
15412  [0.85481817633, 89.99999999999, 52.62263185935],
15413  [0.85481817633, 90.00000000003, 10.81231696358],
15414  [0.85481817633, -89.99999999996, 169.18768303641],
15415  [0.85481817633, -89.99999999999, 127.37736814064],
15416  [0.85481817633, 114.18141426336, 119.41445098644],
15417  [0.85481817633, -114.18141426338, 60.58554901356],
15418  [0.85481817633, 126.00000000000, 79.18768303643],
15419  [0.85481817633, -162.00000000000, 37.37736814065],
15420  [0.85481817633, 161.99999999999, 142.62263185935],
15421  [0.85481817633, -125.99999999999, 100.81231696357],
15422  [0.85481817633, 168.64537190776, 72.33019289295],
15423  [0.85481817633, -168.64537190776, 107.66980710705],
15424  [1.00000000000, -152.26769855229, 73.95494286467]
15425  ],
15426  [
15427  [12,18,14,8,6],
15428  [20,18,12,11,17],
15429  [11,12,6,2,5],
15430  [2,6,8,4,1],
15431  [4,8,14,16,10],
15432  [10,9,3,1,4],
15433  [5,7,13,17,11],
15434  [17,13,15,19,20],
15435  [19,15,9,10,16],
15436  [13,7,3,9,15],
15437  [3,7,0],
15438  [1,3,0],
15439  [7,5,0],
15440  [5,2,0],
15441  [1,0,2],
15442  [14,18,21],
15443  [16,14,21],
15444  [18,20,21],
15445  [20,19,21],
15446  [16,21,19]
15447  ],
15448  [
15449  [0,1],
15450  [0,2],
15451  [0,3],
15452  [0,5],
15453  [0,7],
15454  [1,2],
15455  [1,3],
15456  [1,4],
15457  [2,5],
15458  [2,6],
15459  [3,7],
15460  [3,9],
15461  [4,8],
15462  [4,10],
15463  [5,7],
15464  [5,11],
15465  [6,8],
15466  [6,12],
15467  [7,13],
15468  [8,14],
15469  [9,10],
15470  [9,15],
15471  [10,16],
15472  [11,12],
15473  [11,17],
15474  [12,18],
15475  [13,15],
15476  [13,17],
15477  [14,16],
15478  [14,18],
15479  [14,21],
15480  [15,19],
15481  [16,19],
15482  [16,21],
15483  [17,20],
15484  [18,20],
15485  [18,21],
15486  [19,20],
15487  [19,21],
15488  [20,21]
15489  ]
15490  ],
15491  [
15492  "johnson_parabiaugmented_hexagonal_prism",
15493  "Parabiaugmented Hexagonal Prism",
15494  "J55",
15495  "johnson",
15496  "Polyhedron Database #99",
15497  [
15498  [-0.86602540378, 0.00000000000, 0.50000000000],
15499  [-0.31783724520, 0.31783724520, 0.55051025722],
15500  [-0.63567449039, 0.31783724520, -0.00000000000],
15501  [-0.31783724520, -0.31783724520, 0.55051025722],
15502  [ 0.31783724520, 0.31783724520, 0.55051025722],
15503  [-0.63567449039, -0.31783724520, -0.00000000000],
15504  [ 0.31783724520, -0.31783724520, 0.55051025722],
15505  [-0.31783724520, 0.31783724520, -0.55051025722],
15506  [ 0.63567449039, 0.31783724520, 0.00000000000],
15507  [-0.31783724520, -0.31783724520, -0.55051025722],
15508  [ 0.31783724520, 0.31783724520, -0.55051025722],
15509  [ 0.63567449039, -0.31783724520, 0.00000000000],
15510  [ 0.31783724520, -0.31783724520, -0.55051025722],
15511  [ 0.86602540378, 0.00000000000, -0.50000000000]
15512  ],
15513  [
15514  [1.00000000000, 179.99999999999, 59.99999999999],
15515  [0.71070568604, 134.99999999999, 39.23152048359],
15516  [0.71070568604, 153.43494882292, 90.00000000000],
15517  [0.71070568604, -135.00000000000, 39.23152048358],
15518  [0.71070568604, 45.00000000000, 39.23152048359],
15519  [0.71070568604, -153.43494882291, 89.99999999999],
15520  [0.71070568604, -44.99999999999, 39.23152048358],
15521  [0.71070568604, 135.00000000000, 140.76847951641],
15522  [0.71070568604, 26.56505117708, 89.99999999999],
15523  [0.71070568604, -134.99999999999, 140.76847951640],
15524  [0.71070568604, 44.99999999999, 140.76847951641],
15525  [0.71070568604, -26.56505117707, 89.99999999999],
15526  [0.71070568604, -45.00000000001, 140.76847951639],
15527  [1.00000000000, 0.00000000000, 119.99999999999]
15528  ],
15529  [
15530  [3,6,11,12,9,5],
15531  [1,2,7,10,8,4],
15532  [7,2,5,9],
15533  [10,7,9,12],
15534  [4,8,11,6],
15535  [1,4,6,3],
15536  [11,13,12],
15537  [13,10,12],
15538  [8,13,11],
15539  [10,13,8],
15540  [5,0,3],
15541  [0,1,3],
15542  [2,0,5],
15543  [1,0,2]
15544  ],
15545  [
15546  [0,1],
15547  [0,2],
15548  [0,3],
15549  [0,5],
15550  [1,2],
15551  [1,3],
15552  [1,4],
15553  [2,5],
15554  [2,7],
15555  [3,5],
15556  [3,6],
15557  [4,6],
15558  [4,8],
15559  [5,9],
15560  [6,11],
15561  [7,9],
15562  [7,10],
15563  [8,10],
15564  [8,11],
15565  [8,13],
15566  [9,12],
15567  [10,12],
15568  [10,13],
15569  [11,12],
15570  [11,13],
15571  [12,13]
15572  ]
15573  ],
15574  [
15575  "johnson_parabiaugmented_truncated_dodecahedron",
15576  "Parabiaugmented Truncated Dodecahedron",
15577  "J69",
15578  "johnson",
15579  "Polyhedron Database #113",
15580  [
15581  [-0.41777457947, -0.08389390482, -0.84650375692],
15582  [-0.51639777949, -0.35538028373, -0.71076056747],
15583  [-0.15957568972, 0.08389390482, -0.93039766175],
15584  [-0.67597346922, -0.08389390482, -0.65891128284],
15585  [-0.41777457947, -0.62686666264, -0.57501737801],
15586  [ 0.15957568972, 0.08389390482, -0.93039766175],
15587  [-0.00000000000, 0.35538028373, -0.87854837712],
15588  [-0.83554915894, 0.08389390482, -0.43927418856],
15589  [-0.15957568972, -0.79465447229, -0.49112347319],
15590  [ 0.41777457947, -0.08389390482, -0.84650375692],
15591  [ 0.43462143328, 0.23396788409, -0.86969146193],
15592  [ 0.27504574356, 0.50545426300, -0.81784217730],
15593  [-0.41777457947, -0.79465447229, -0.30353099910],
15594  [-0.00000000000, 0.62686666264, -0.71076056747],
15595  [-0.83554915894, 0.35538028373, -0.27148637891],
15596  [ 0.15957568972, -0.79465447229, -0.49112347319],
15597  [ 0.51639777949, -0.35538028373, -0.71076056747],
15598  [-0.93417235896, 0.08389390482, -0.13574318945],
15599  [ 0.41777457947, -0.62686666264, -0.57501737801],
15600  [-0.15957568972, 0.79465447229, -0.49112347319],
15601  [-0.67597346922, 0.62686666264, -0.21963709428],
15602  [ 0.67597346922, -0.08389390482, -0.65891128284],
15603  [ 0.69282032303, 0.23396788409, -0.68209898784],
15604  [-0.51639777949, -0.79465447229, 0.00000000000],
15605  [-0.41777457947, 0.79465447229, -0.30353099910],
15606  [ 0.43462143328, 0.67324207265, -0.59820508302],
15607  [ 0.15957568972, 0.79465447229, -0.49112347319],
15608  [-0.93417235896, -0.08389390482, 0.13574318945],
15609  [ 0.41777457947, -0.79465447229, -0.30353099910],
15610  [-0.67597346922, -0.62686666264, 0.21963709428],
15611  [ 0.69282032303, 0.50545426300, -0.51431117819],
15612  [-0.83554915894, -0.35538028373, 0.27148637891],
15613  [-0.51639777949, 0.79465447229, 0.00000000000],
15614  [ 0.83554915894, 0.08389390482, -0.43927418856],
15615  [-0.41777457947, -0.79465447229, 0.30353099910],
15616  [ 0.41777457947, 0.79465447229, -0.30353099910],
15617  [-0.83554915894, -0.08389390482, 0.43927418856],
15618  [ 0.51639777949, -0.79465447229, -0.00000000000],
15619  [ 0.83554915894, 0.35538028373, -0.27148637891],
15620  [-0.69282032303, -0.50545426300, 0.51431117819],
15621  [ 0.67597346922, 0.62686666264, -0.21963709428],
15622  [-0.41777457947, 0.79465447229, 0.30353099910],
15623  [ 0.93417235896, 0.08389390482, -0.13574318945],
15624  [-0.15957568972, -0.79465447229, 0.49112347319],
15625  [-0.43462143328, -0.67324207265, 0.59820508302],
15626  [ 0.41777457947, -0.79465447229, 0.30353099910],
15627  [ 0.51639777949, 0.79465447229, -0.00000000000],
15628  [-0.69282032303, -0.23396788409, 0.68209898784],
15629  [-0.67597346922, 0.08389390482, 0.65891128284],
15630  [ 0.67597346922, -0.62686666264, 0.21963709428],
15631  [ 0.15957568972, -0.79465447229, 0.49112347319],
15632  [-0.41777457947, 0.62686666264, 0.57501737801],
15633  [ 0.93417235896, -0.08389390482, 0.13574318945],
15634  [-0.51639777949, 0.35538028373, 0.71076056747],
15635  [-0.15957568972, 0.79465447229, 0.49112347319],
15636  [ 0.83554915894, -0.35538028373, 0.27148637891],
15637  [ 0.00000000000, -0.62686666264, 0.71076056747],
15638  [ 0.41777457947, 0.79465447229, 0.30353099910],
15639  [-0.27504574356, -0.50545426300, 0.81784217730],
15640  [-0.43462143328, -0.23396788409, 0.86969146193],
15641  [-0.41777457947, 0.08389390482, 0.84650375692],
15642  [ 0.15957568972, 0.79465447229, 0.49112347319],
15643  [ 0.83554915894, -0.08389390482, 0.43927418856],
15644  [ 0.00000000000, -0.35538028373, 0.87854837712],
15645  [-0.15957568972, -0.08389390482, 0.93039766175],
15646  [ 0.41777457947, 0.62686666264, 0.57501737801],
15647  [ 0.67597346922, 0.08389390482, 0.65891128284],
15648  [ 0.15957568972, -0.08389390482, 0.93039766175],
15649  [ 0.51639777949, 0.35538028373, 0.71076056747],
15650  [ 0.41777457947, 0.08389390482, 0.84650375692]
15651  ],
15652  [
15653  [0.94770374960, -168.64537190776, 153.28013898830],
15654  [0.94770374960, -145.46460289539, 138.58880169320],
15655  [0.94770374960, 152.26769855232, 169.03360469452],
15656  [0.94770374960, -172.92529490520, 134.04884571041],
15657  [0.94770374960, -123.68142749990, 127.35473359040],
15658  [0.94770374960, 27.73230144773, 169.03360469455],
15659  [0.94770374960, 90.00000000003, 157.97624948384],
15660  [0.94770374960, 174.26639258734, 117.61410888587],
15661  [0.94770374960, -101.35462809223, 121.21324176779],
15662  [0.94770374960, -11.35462809223, 153.28013898833],
15663  [1.00000000000, 28.29472150821, 150.42280516293],
15664  [1.00000000000, 61.44693246452, 144.86936714484],
15665  [0.94770374960, -117.73230144770, 108.67988715813],
15666  [0.94770374960, 90.00000000001, 138.58880169322],
15667  [0.94770374960, 156.95871796353, 106.64659156938],
15668  [0.94770374960, -78.64537190778, 121.21324176780],
15669  [0.94770374960, -34.53539710460, 138.58880169322],
15670  [0.94770374960, 174.86828470418, 98.23501459354],
15671  [0.94770374960, -56.31857250010, 127.35473359041],
15672  [0.94770374960, 101.35462809223, 121.21324176781],
15673  [0.94770374960, 137.15857755564, 103.40054301124],
15674  [0.94770374960, -7.07470509479, 134.04884571044],
15675  [1.00000000000, 18.66000818099, 133.00788389657],
15676  [0.94770374960, -123.01739809413, 89.99999999999],
15677  [0.94770374960, 117.73230144770, 108.67988715813],
15678  [1.00000000000, 57.15513367416, 126.74145405611],
15679  [0.94770374960, 78.64537190778, 121.21324176780],
15680  [0.94770374960, -174.86828470418, 81.76498540642],
15681  [0.94770374960, -62.26769855230, 108.67988715815],
15682  [0.94770374960, -137.15857755564, 76.59945698873],
15683  [1.00000000000, 36.11300912328, 120.95142428592],
15684  [0.94770374960, -156.95871796352, 73.35340843058],
15685  [0.94770374960, 123.01739809413, 89.99999999999],
15686  [0.94770374960, 5.73360741265, 117.61410888590],
15687  [0.94770374960, -117.73230144769, 71.32011284184],
15688  [0.94770374960, 62.26769855230, 108.67988715815],
15689  [0.94770374960, -174.26639258734, 62.38589111409],
15690  [0.94770374960, -56.98260190585, 90.00000000000],
15691  [0.94770374960, 23.04128203647, 106.64659156940],
15692  [1.00000000000, -143.88699087670, 59.04857571407],
15693  [0.94770374960, 42.84142244435, 103.40054301126],
15694  [0.94770374960, 117.73230144769, 71.32011284184],
15695  [0.94770374960, 5.13171529581, 98.23501459357],
15696  [0.94770374960, -101.35462809221, 58.78675823219],
15697  [1.00000000000, -122.84486632582, 53.25854594388],
15698  [0.94770374960, -62.26769855229, 71.32011284186],
15699  [0.94770374960, 56.98260190586, 90.00000000000],
15700  [1.00000000000, -161.33999181900, 46.99211610342],
15701  [0.94770374960, 172.92529490520, 45.95115428955],
15702  [0.94770374960, -42.84142244435, 76.59945698874],
15703  [0.94770374960, -78.64537190776, 58.78675823218],
15704  [0.94770374960, 123.68142749989, 52.64526640958],
15705  [0.94770374960, -5.13171529581, 81.76498540645],
15706  [0.94770374960, 145.46460289539, 41.41119830677],
15707  [0.94770374960, 101.35462809221, 58.78675823218],
15708  [0.94770374960, -23.04128203647, 73.35340843061],
15709  [0.94770374960, -89.99999999998, 41.41119830677],
15710  [0.94770374960, 62.26769855229, 71.32011284186],
15711  [1.00000000000, -118.55306753547, 35.13063285515],
15712  [1.00000000000, -151.70527849178, 29.57719483705],
15713  [0.94770374960, 168.64537190776, 26.71986101166],
15714  [0.94770374960, 78.64537190776, 58.78675823220],
15715  [0.94770374960, -5.73360741264, 62.38589111412],
15716  [0.94770374960, -89.99999999996, 22.02375051615],
15717  [0.94770374960, -152.26769855226, 10.96639530544],
15718  [0.94770374960, 56.31857250008, 52.64526640959],
15719  [0.94770374960, 7.07470509479, 45.95115428958],
15720  [0.94770374960, -27.73230144767, 10.96639530546],
15721  [0.94770374960, 34.53539710460, 41.41119830678],
15722  [0.94770374960, 11.35462809222, 26.71986101169]
15723  ],
15724  [
15725  [8,12,23,34,43,50,45,37,28,15],
15726  [12,8,4],
15727  [2,0,1,4,8,15,18,16,9,5],
15728  [1,0,3],
15729  [15,28,18],
15730  [33,21,16,18,28,37,49,55,52,42],
15731  [16,21,9],
15732  [37,45,49],
15733  [66,62,55,49,45,50,56,63,67,69],
15734  [55,62,52],
15735  [50,43,56],
15736  [64,60,53,51,54,61,65,68,69,67],
15737  [67,63,64],
15738  [34,23,29],
15739  [17,27,31,29,23,12,4,1,3,7],
15740  [31,27,36],
15741  [19,26,35,46,57,61,54,41,32,24],
15742  [26,19,13],
15743  [0,2,6,13,19,24,20,14,7,3],
15744  [6,2,5],
15745  [24,32,20],
15746  [27,17,14,20,32,41,51,53,48,36],
15747  [14,17,7],
15748  [41,54,51],
15749  [48,53,60],
15750  [61,57,65],
15751  [62,66,68,65,57,46,40,38,42,52],
15752  [68,66,69],
15753  [46,35,40],
15754  [42,38,33],
15755  [11,10,22,30,25],
15756  [40,35,25,30],
15757  [38,40,30],
15758  [33,38,30,22],
15759  [21,33,22],
15760  [9,21,22,10],
15761  [5,9,10],
15762  [6,5,10,11],
15763  [6,11,13],
15764  [26,13,11,25],
15765  [35,26,25],
15766  [39,47,59,58,44],
15767  [56,43,44,58],
15768  [63,56,58],
15769  [64,63,58,59],
15770  [60,64,59],
15771  [48,60,59,47],
15772  [36,48,47],
15773  [31,36,47,39],
15774  [31,39,29],
15775  [34,29,39,44],
15776  [43,34,44]
15777  ],
15778  [
15779  [0,1],
15780  [0,2],
15781  [0,3],
15782  [1,3],
15783  [1,4],
15784  [2,5],
15785  [2,6],
15786  [3,7],
15787  [4,8],
15788  [4,12],
15789  [5,6],
15790  [5,9],
15791  [5,10],
15792  [6,11],
15793  [6,13],
15794  [7,14],
15795  [7,17],
15796  [8,12],
15797  [8,15],
15798  [9,10],
15799  [9,16],
15800  [9,21],
15801  [10,11],
15802  [10,22],
15803  [11,13],
15804  [11,25],
15805  [12,23],
15806  [13,19],
15807  [13,26],
15808  [14,17],
15809  [14,20],
15810  [15,18],
15811  [15,28],
15812  [16,18],
15813  [16,21],
15814  [17,27],
15815  [18,28],
15816  [19,24],
15817  [19,26],
15818  [20,24],
15819  [20,32],
15820  [21,22],
15821  [21,33],
15822  [22,30],
15823  [22,33],
15824  [23,29],
15825  [23,34],
15826  [24,32],
15827  [25,26],
15828  [25,30],
15829  [25,35],
15830  [26,35],
15831  [27,31],
15832  [27,36],
15833  [28,37],
15834  [29,31],
15835  [29,34],
15836  [29,39],
15837  [30,38],
15838  [30,40],
15839  [31,36],
15840  [31,39],
15841  [32,41],
15842  [33,38],
15843  [33,42],
15844  [34,43],
15845  [34,44],
15846  [35,40],
15847  [35,46],
15848  [36,47],
15849  [36,48],
15850  [37,45],
15851  [37,49],
15852  [38,40],
15853  [38,42],
15854  [39,44],
15855  [39,47],
15856  [40,46],
15857  [41,51],
15858  [41,54],
15859  [42,52],
15860  [43,44],
15861  [43,50],
15862  [43,56],
15863  [44,58],
15864  [45,49],
15865  [45,50],
15866  [46,57],
15867  [47,48],
15868  [47,59],
15869  [48,53],
15870  [48,60],
15871  [49,55],
15872  [50,56],
15873  [51,53],
15874  [51,54],
15875  [52,55],
15876  [52,62],
15877  [53,60],
15878  [54,61],
15879  [55,62],
15880  [56,58],
15881  [56,63],
15882  [57,61],
15883  [57,65],
15884  [58,59],
15885  [58,63],
15886  [59,60],
15887  [59,64],
15888  [60,64],
15889  [61,65],
15890  [62,66],
15891  [63,64],
15892  [63,67],
15893  [64,67],
15894  [65,68],
15895  [66,68],
15896  [66,69],
15897  [67,69],
15898  [68,69]
15899  ]
15900  ],
15901  [
15902  "johnson_parabidiminished_rhombicosidodecahedron",
15903  "Parabidiminished Rhombicosidodecahedron",
15904  "J80",
15905  "johnson",
15906  "Polyhedron Database #124",
15907  [
15908  [ 0.58622749983, 0.68915175777, 0.42591920971],
15909  [ 0.22391897979, 0.68915175777, 0.68915175777],
15910  [ 0.81014647962, 0.30819803544, 0.49867489661],
15911  [ 0.22391897979, 0.30819803544, 0.92459410632],
15912  [ 0.58622749983, 0.07275568690, 0.80687293205],
15913  [ 0.72461704007, 0.68915175777, 0.00000000000],
15914  [ 0.94853601986, 0.30819803544, 0.07275568690],
15915  [-0.22391897979, 0.68915175777, 0.68915175777],
15916  [ 0.94853601986, -0.07275568690, 0.30819803544],
15917  [-0.22391897979, 0.30819803544, 0.92459410632],
15918  [ 0.72461704007, -0.30819803544, 0.61639607088],
15919  [-0.00000000000, -0.07275568690, 0.99734979321],
15920  [ 0.36230852003, -0.30819803544, 0.87962861894],
15921  [ 0.58622749983, 0.68915175777, -0.42591920971],
15922  [ 0.94853601986, 0.07275568690, -0.30819803544],
15923  [-0.58622749983, 0.68915175777, 0.42591920971],
15924  [ 0.94853601986, -0.30819803544, -0.07275568690],
15925  [ 0.72461704007, 0.30819803544, -0.61639607088],
15926  [-0.58622749983, 0.07275568690, 0.80687293205],
15927  [ 0.58622749983, -0.68915175777, 0.42591920971],
15928  [-0.36230852003, -0.30819803544, 0.87962861894],
15929  [ 0.22391897979, 0.68915175777, -0.68915175777],
15930  [ 0.22391897979, -0.68915175777, 0.68915175777],
15931  [-0.81014647962, 0.30819803544, 0.49867489661],
15932  [-0.72461704007, 0.68915175777, -0.00000000000],
15933  [ 0.72461704007, -0.68915175777, 0.00000000000],
15934  [ 0.81014647962, -0.30819803544, -0.49867489661],
15935  [-0.22391897979, 0.68915175777, -0.68915175777],
15936  [-0.22391897979, -0.68915175777, 0.68915175777],
15937  [ 0.36230852003, 0.30819803544, -0.87962861894],
15938  [-0.58622749983, 0.68915175777, -0.42591920971],
15939  [ 0.58622749983, -0.07275568690, -0.80687293205],
15940  [-0.72461704007, -0.30819803544, 0.61639607088],
15941  [-0.94853601986, 0.30819803544, 0.07275568690],
15942  [ 0.58622749983, -0.68915175777, -0.42591920971],
15943  [-0.94853601986, -0.07275568690, 0.30819803544],
15944  [-0.58622749983, -0.68915175777, 0.42591920971],
15945  [-0.36230852003, 0.30819803544, -0.87962861894],
15946  [ 0.00000000000, 0.07275568690, -0.99734979321],
15947  [-0.72461704007, 0.30819803544, -0.61639607088],
15948  [ 0.22391897979, -0.30819803544, -0.92459410632],
15949  [-0.94853601986, 0.07275568690, -0.30819803544],
15950  [ 0.22391897979, -0.68915175777, -0.68915175777],
15951  [-0.94853601986, -0.30819803544, -0.07275568690],
15952  [-0.72461704007, -0.68915175777, -0.00000000000],
15953  [-0.58622749983, -0.07275568690, -0.80687293205],
15954  [-0.22391897979, -0.30819803544, -0.92459410632],
15955  [-0.81014647962, -0.30819803544, -0.49867489661],
15956  [-0.22391897979, -0.68915175777, -0.68915175777],
15957  [-0.58622749983, -0.68915175777, -0.42591920971]
15958  ],
15959  [
15960  [1.00000000000, 49.61382244080, 64.79113973109],
15961  [1.00000000000, 71.99999999999, 46.43699940042],
15962  [1.00000000000, 20.82794635300, 60.08762947998],
15963  [1.00000000000, 54.00000000001, 22.39277092895],
15964  [1.00000000000, 7.07470509478, 36.20847605288],
15965  [1.00000000000, 43.56300059957, 89.99999999999],
15966  [1.00000000000, 18.00000000000, 85.82771975187],
15967  [1.00000000000, 108.00000000000, 46.43699940042],
15968  [1.00000000000, -4.38617755920, 72.04933075284],
15969  [1.00000000000, 126.00000000002, 22.39277092895],
15970  [1.00000000000, -23.04128203648, 51.94656853438],
15971  [1.00000000000, -90.00000000007, 4.17228024813],
15972  [1.00000000000, -40.38617755921, 28.40240364405],
15973  [1.00000000000, 49.61382244080, 115.20886026888],
15974  [1.00000000000, 4.38617755920, 107.95066924714],
15975  [1.00000000000, 130.38617755919, 64.79113973110],
15976  [1.00000000000, -18.00000000000, 94.17228024812],
15977  [1.00000000000, 23.04128203647, 128.05343146559],
15978  [1.00000000000, 172.92529490521, 36.20847605289],
15979  [1.00000000000, -49.61382244080, 64.79113973110],
15980  [1.00000000000, -139.61382244078, 28.40240364406],
15981  [1.00000000000, 71.99999999999, 133.56300059956],
15982  [1.00000000000, -72.00000000000, 46.43699940043],
15983  [1.00000000000, 159.17205364699, 60.08762947999],
15984  [1.00000000000, 136.43699940041, 89.99999999999],
15985  [1.00000000000, -43.56300059957, 89.99999999999],
15986  [1.00000000000, -20.82794635300, 119.91237052000],
15987  [1.00000000000, 107.99999999999, 133.56300059956],
15988  [1.00000000000, -108.00000000000, 46.43699940042],
15989  [1.00000000000, 40.38617755920, 151.59759635593],
15990  [1.00000000000, 130.38617755918, 115.20886026889],
15991  [1.00000000000, -7.07470509478, 143.79152394710],
15992  [1.00000000000, -156.95871796352, 51.94656853439],
15993  [1.00000000000, 161.99999999999, 85.82771975187],
15994  [1.00000000000, -49.61382244080, 115.20886026889],
15995  [1.00000000000, -175.61382244079, 72.04933075285],
15996  [1.00000000000, -130.38617755919, 64.79113973111],
15997  [1.00000000000, 139.61382244078, 151.59759635594],
15998  [1.00000000000, 89.99999999992, 175.82771975186],
15999  [1.00000000000, 156.95871796351, 128.05343146560],
16000  [1.00000000000, -53.99999999996, 157.60722907103],
16001  [1.00000000000, 175.61382244079, 107.95066924714],
16002  [1.00000000000, -71.99999999999, 133.56300059957],
16003  [1.00000000000, -161.99999999999, 94.17228024812],
16004  [1.00000000000, -136.43699940042, 90.00000000000],
16005  [1.00000000000, -172.92529490521, 143.79152394711],
16006  [1.00000000000, -125.99999999998, 157.60722907104],
16007  [1.00000000000, -159.17205364699, 119.91237052001],
16008  [1.00000000000, -107.99999999999, 133.56300059957],
16009  [1.00000000000, -130.38617755919, 115.20886026889]
16010  ],
16011  [
16012  [12,10,19,22],
16013  [4,10,12],
16014  [4,2,8,10],
16015  [10,8,16,25,19],
16016  [2,6,8],
16017  [0,5,6,2],
16018  [8,6,14,16],
16019  [14,26,16],
16020  [14,17,31,26],
16021  [6,5,13,17,14],
16022  [17,29,31],
16023  [13,21,29,17],
16024  [11,3,4,12],
16025  [9,3,11],
16026  [9,7,1,3],
16027  [3,1,0,2,4],
16028  [30,27,21,13,5,0,1,7,15,24],
16029  [20,18,9,11],
16030  [32,18,20],
16031  [32,35,23,18],
16032  [18,23,15,7,9],
16033  [35,33,23],
16034  [43,41,33,35],
16035  [23,33,24,15],
16036  [33,41,39,30,24],
16037  [39,37,27,30],
16038  [28,36,32,20],
16039  [22,19,25,34,42,48,49,44,36,28],
16040  [36,44,43,35,32],
16041  [44,49,47,43],
16042  [47,41,43],
16043  [47,45,39,41],
16044  [49,48,46,45,47],
16045  [45,37,39],
16046  [46,38,37,45],
16047  [16,26,34,25],
16048  [42,40,46,48],
16049  [34,26,31,40,42],
16050  [40,38,46],
16051  [31,29,38,40],
16052  [28,20,11,12,22],
16053  [29,21,27,37,38]
16054  ],
16055  [
16056  [0,1],
16057  [0,2],
16058  [0,5],
16059  [1,3],
16060  [1,7],
16061  [2,4],
16062  [2,6],
16063  [2,8],
16064  [3,4],
16065  [3,9],
16066  [3,11],
16067  [4,10],
16068  [4,12],
16069  [5,6],
16070  [5,13],
16071  [6,8],
16072  [6,14],
16073  [7,9],
16074  [7,15],
16075  [8,10],
16076  [8,16],
16077  [9,11],
16078  [9,18],
16079  [10,12],
16080  [10,19],
16081  [11,12],
16082  [11,20],
16083  [12,22],
16084  [13,17],
16085  [13,21],
16086  [14,16],
16087  [14,17],
16088  [14,26],
16089  [15,23],
16090  [15,24],
16091  [16,25],
16092  [16,26],
16093  [17,29],
16094  [17,31],
16095  [18,20],
16096  [18,23],
16097  [18,32],
16098  [19,22],
16099  [19,25],
16100  [20,28],
16101  [20,32],
16102  [21,27],
16103  [21,29],
16104  [22,28],
16105  [23,33],
16106  [23,35],
16107  [24,30],
16108  [24,33],
16109  [25,34],
16110  [26,31],
16111  [26,34],
16112  [27,30],
16113  [27,37],
16114  [28,36],
16115  [29,31],
16116  [29,38],
16117  [30,39],
16118  [31,40],
16119  [32,35],
16120  [32,36],
16121  [33,35],
16122  [33,41],
16123  [34,42],
16124  [35,43],
16125  [36,44],
16126  [37,38],
16127  [37,39],
16128  [37,45],
16129  [38,40],
16130  [38,46],
16131  [39,41],
16132  [39,45],
16133  [40,42],
16134  [40,46],
16135  [41,43],
16136  [41,47],
16137  [42,48],
16138  [43,44],
16139  [43,47],
16140  [44,49],
16141  [45,46],
16142  [45,47],
16143  [46,48],
16144  [47,49],
16145  [48,49]
16146  ]
16147  ],
16148  [
16149  "johnson_parabigyrate_rhombicosidodecahedron",
16150  "Parabigyrate Rhombicosidodecahedron",
16151  "J73",
16152  "johnson",
16153  "Polyhedron Database #117",
16154  [
16155  [ 0.36230850004, -0.30819801706, 0.87962856150],
16156  [ 0.72461699471, -0.30819801706, 0.61639603048],
16157  [ 0.58622746438, 0.07275567931, 0.80687287901],
16158  [ 0.22391896876, -0.68915171342, 0.68915171367],
16159  [ 0.00000000500, -0.07275568456, 0.99734972866],
16160  [ 0.58622746343, -0.68915171342, 0.42591918264],
16161  [ 0.22391896935, 0.30819801180, 0.92459404616],
16162  [ 0.94853595846, -0.07275568456, 0.30819801549],
16163  [ 0.81014642814, 0.30819801180, 0.49867486402],
16164  [-0.22391896030, -0.68915171342, 0.68915171479],
16165  [-0.36230849063, -0.30819801706, 0.87962856332],
16166  [ 0.22391896780, -0.92459404591, 0.30819801731],
16167  [-0.22391895971, 0.30819801180, 0.92459404728],
16168  [ 0.72461699316, -0.68915171342, 0.00000000162],
16169  [ 0.94853595751, -0.30819801706, -0.07275568087],
16170  [ 0.22391896876, 0.68915170816, 0.68915171367],
16171  [ 0.58622746343, 0.68915170816, 0.42591918264],
16172  [ 0.98678588305, 0.13783033953, -0.08518383517],
16173  [ 0.84839635273, 0.51878403589, 0.10529301336],
16174  [-0.22391896125, -0.92459404591, 0.30819801843],
16175  [-0.58622745534, 0.07275567931, 0.80687288195],
16176  [ 0.36230849754, -0.92459404591, -0.11772116371],
16177  [-0.62447738147, -0.51878404115, 0.58385870375],
16178  [-0.22391896030, 0.68915170816, 0.68915171479],
16179  [ 0.58622746129, -0.68915171342, -0.42591917870],
16180  [ 0.81014642564, -0.30819801706, -0.49867486120],
16181  [ 0.00000000346, 0.92459404065, 0.38095369980],
16182  [ 0.36230849813, 0.92459404065, 0.11772116878],
16183  [-0.62447738243, -0.75422637364, 0.20290500739],
16184  [-0.84839634618, -0.13783034479, 0.51110302238],
16185  [ 0.84839635118, 0.13783033953, -0.51110301549],
16186  [ 0.62447738743, 0.75422636838, -0.20290500050],
16187  [-0.36230849313, -0.92459404591, -0.11772116190],
16188  [ 0.00000000155, -0.92459404591, -0.38095369292],
16189  [-0.81014642064, 0.30819801180, 0.49867486808],
16190  [-0.58622745629, 0.68915170816, 0.42591918558],
16191  [ 0.22391896530, -0.68915171342, -0.68915170791],
16192  [ 0.62447738647, 0.51878403589, -0.58385869687],
16193  [-0.36230849254, 0.92459404065, 0.11772117060],
16194  [ 0.58622746034, -0.07275568456, -0.80687287506],
16195  [ 0.22391896626, 0.92459404065, -0.30819801155],
16196  [-0.84839634773, -0.51878404115, -0.10529300648],
16197  [-0.98678587805, -0.13783034479, 0.08518384205],
16198  [-0.58622745843, -0.68915171342, -0.42591917576],
16199  [-0.22391896375, -0.68915171342, -0.68915170679],
16200  [-0.94853595251, 0.30819801180, 0.07275568775],
16201  [-0.72461702963, 0.68915172996, -0.00000000821],
16202  [ 0.22391896471, -0.30819801706, -0.92459404040],
16203  [-0.22391896280, 0.92459404065, -0.30819801042],
16204  [ 0.36230849563, 0.30819801180, -0.87962855644],
16205  [ 0.22391896530, 0.68915170816, -0.68915170791],
16206  [-0.81014642314, -0.30819801706, -0.49867485713],
16207  [-0.94853595346, 0.07275567931, -0.30819800861],
16208  [-0.22391896435, -0.30819801706, -0.92459403928],
16209  [-0.58622752552, 0.68915174343, -0.42591919756],
16210  [ 0.00000000000, 0.07275570111, -0.99734976537],
16211  [-0.22391896376, 0.68915172996, -0.68915175038],
16212  [-0.58622745938, -0.07275568456, -0.80687287212],
16213  [-0.72461703117, 0.30819803360, -0.61639603707],
16214  [-0.36230849504, 0.30819804707, -0.87962862516]
16215  ],
16216  [
16217  [0.99999993656, -40.38617743313, 28.40240384151],
16218  [0.99999993656, -23.04128209727, 51.94656862891],
16219  [0.99999993587, 7.07470478772, 36.20847617870],
16220  [0.99999993656, -71.99999974627, 46.43699943116],
16221  [0.99999993544, -89.99999606190, 4.17228038401],
16222  [0.99999993656, -49.61382237655, 64.79113973417],
16223  [0.99999993475, 53.99999918131, 22.39277090345],
16224  [0.99999993544, -4.38617770198, 72.04933075606],
16225  [0.99999993475, 20.82794610245, 60.08762948339],
16226  [0.99999993544, -107.99999961779, 46.43699928138],
16227  [0.99999993475, -139.61382183230, 28.40240343072],
16228  [0.99999993587, -76.38617740486, 72.04933065459],
16229  [0.99999993363, 125.99999964614, 22.39277057888],
16230  [0.99999993544, -43.56300060998, 89.99999990690],
16231  [0.99999993475, -18.00000010248, 94.17228017477],
16232  [0.99999993294, 71.99999961782, 46.43699923371],
16233  [0.99999993294, 49.61382216083, 64.79113963644],
16234  [0.99999993363, 7.95140457547, 94.88659651498],
16235  [0.99999993294, 31.44527793232, 83.95595102273],
16236  [0.99999993475, -103.61382221193, 72.04933056618],
16237  [0.99999993294, 172.92529510423, 36.20847566418],
16238  [0.99999993475, -68.60193103217, 96.76060308200],
16239  [0.99999993363, -140.28192204812, 54.27759374404],
16240  [0.99999993182, 107.99999974630, 46.43699908393],
16241  [0.99999993363, -49.61382247955, 115.20886009515],
16242  [0.99999993294, -20.82794648604, 119.91237038987],
16243  [0.99999993070, 89.99999978588, 67.60722883136],
16244  [0.99999993070, 68.60193088980, 83.23939659817],
16245  [0.99999993294, -129.62376261749, 78.29311161251],
16246  [0.99999993182, -170.77235490496, 59.26266820361],
16247  [0.99999993182, 9.22764469560, 120.73733133757],
16248  [0.99999993070, 50.37623696091, 101.70688801134],
16249  [0.99999993294, -111.39806873086, 96.76060298949],
16250  [0.99999993294, -89.99999990422, 112.39277068925],
16251  [0.99999993070, 159.17205372127, 60.08762908134],
16252  [0.99999993001, 130.38617749497, 64.79113937122],
16253  [0.99999993182, -72.00000000611, 133.56300037183],
16254  [0.99999993001, 39.71807744091, 125.72240591951],
16255  [0.99999992889, 111.39806880987, 83.23939648105],
16256  [0.99999993070, -7.07470534214, 143.79152384349],
16257  [0.99999992889, 76.38617742080, 107.95066912810],
16258  [0.99999993070, -148.55472165891, 96.04404859429],
16259  [0.99999993001, -172.04859508528, 85.11340307146],
16260  [0.99999993070, -130.38617738221, 115.20885998809],
16261  [0.99999993070, -107.99999987764, 133.56300034407],
16262  [0.99999992889, 162.00000009602, 85.82771940530],
16263  [0.99999997327, 136.43700014306, 90.00000047066],
16264  [0.99999993001, -54.00000021021, 157.60722888982],
16265  [0.99999992777, 103.61382237695, 107.95066908127],
16266  [0.99999992889, 40.38617729497, 151.59759636142],
16267  [0.99999992820, 71.99999987767, 133.56300056930],
16268  [0.99999992889, -159.17205345516, 119.91237025490],
16269  [0.99999992820, 175.61382259072, 107.95066896391],
16270  [0.99999992889, -125.99999974536, 157.60722887667],
16271  [1.00000000000, 130.38617938691, 115.20885949941],
16272  [0.99999997327, 89.99999999999, 175.82771882380],
16273  [0.99999997215, 107.99999947350, 133.56300153301],
16274  [0.99999992777, -172.92529464641, 143.79152378782],
16275  [0.99999997215, 156.95871783361, 128.05343025469],
16276  [1.00000000000, 139.61381942277, 151.59759710532]
16277  ],
16278  [
16279  [36,33,21,24],
16280  [44,33,36],
16281  [44,43,32,33],
16282  [33,32,19,11,21],
16283  [32,28,19],
16284  [43,41,28,32],
16285  [19,28,22,9],
16286  [22,10,9],
16287  [22,29,20,10],
16288  [28,41,42,29,22],
16289  [29,34,20],
16290  [42,45,34,29],
16291  [47,53,44,36],
16292  [55,53,47],
16293  [55,59,57,53],
16294  [53,57,51,43,44],
16295  [59,58,57],
16296  [56,54,58,59],
16297  [57,58,52,51],
16298  [51,41,43],
16299  [51,52,42,41],
16300  [58,54,46,45,52],
16301  [52,45,42],
16302  [46,35,34,45],
16303  [39,49,55,47],
16304  [37,50,49],
16305  [37,31,40,50],
16306  [49,50,56,59,55],
16307  [31,27,40],
16308  [18,16,27,31],
16309  [50,40,48,56],
16310  [48,54,56],
16311  [48,38,46,54],
16312  [40,27,26,38,48],
16313  [38,35,46],
16314  [26,23,35,38],
16315  [39,30,37,49],
16316  [25,30,39],
16317  [25,14,17,30],
16318  [30,17,18,31,37],
16319  [14,7,17],
16320  [1,2,8,7],
16321  [17,7,8,18],
16322  [8,16,18],
16323  [16,15,26,27],
16324  [8,2,6,15,16],
16325  [15,23,26],
16326  [6,12,23,15],
16327  [24,13,14,25],
16328  [21,13,24],
16329  [21,11,5,13],
16330  [13,5,1,7,14],
16331  [11,3,5],
16332  [19,9,3,11],
16333  [5,3,0,1],
16334  [0,2,1],
16335  [0,4,6,2],
16336  [3,9,10,4,0],
16337  [4,12,6],
16338  [10,20,12,4],
16339  [25,39,47,36,24],
16340  [20,34,35,23,12]
16341  ],
16342  [
16343  [0,1],
16344  [0,2],
16345  [0,3],
16346  [0,4],
16347  [1,2],
16348  [1,5],
16349  [1,7],
16350  [2,6],
16351  [2,8],
16352  [3,5],
16353  [3,9],
16354  [3,11],
16355  [4,6],
16356  [4,10],
16357  [4,12],
16358  [5,11],
16359  [5,13],
16360  [6,12],
16361  [6,15],
16362  [7,8],
16363  [7,14],
16364  [7,17],
16365  [8,16],
16366  [8,18],
16367  [9,10],
16368  [9,19],
16369  [9,22],
16370  [10,20],
16371  [10,22],
16372  [11,19],
16373  [11,21],
16374  [12,20],
16375  [12,23],
16376  [13,14],
16377  [13,21],
16378  [13,24],
16379  [14,17],
16380  [14,25],
16381  [15,16],
16382  [15,23],
16383  [15,26],
16384  [16,18],
16385  [16,27],
16386  [17,18],
16387  [17,30],
16388  [18,31],
16389  [19,28],
16390  [19,32],
16391  [20,29],
16392  [20,34],
16393  [21,24],
16394  [21,33],
16395  [22,28],
16396  [22,29],
16397  [23,26],
16398  [23,35],
16399  [24,25],
16400  [24,36],
16401  [25,30],
16402  [25,39],
16403  [26,27],
16404  [26,38],
16405  [27,31],
16406  [27,40],
16407  [28,32],
16408  [28,41],
16409  [29,34],
16410  [29,42],
16411  [30,37],
16412  [30,39],
16413  [31,37],
16414  [31,40],
16415  [32,33],
16416  [32,43],
16417  [33,36],
16418  [33,44],
16419  [34,35],
16420  [34,45],
16421  [35,38],
16422  [35,46],
16423  [36,44],
16424  [36,47],
16425  [37,49],
16426  [37,50],
16427  [38,46],
16428  [38,48],
16429  [39,47],
16430  [39,49],
16431  [40,48],
16432  [40,50],
16433  [41,42],
16434  [41,43],
16435  [41,51],
16436  [42,45],
16437  [42,52],
16438  [43,44],
16439  [43,51],
16440  [44,53],
16441  [45,46],
16442  [45,52],
16443  [46,54],
16444  [47,53],
16445  [47,55],
16446  [48,54],
16447  [48,56],
16448  [49,50],
16449  [49,55],
16450  [50,56],
16451  [51,52],
16452  [51,57],
16453  [52,58],
16454  [53,55],
16455  [53,57],
16456  [54,56],
16457  [54,58],
16458  [55,59],
16459  [56,59],
16460  [57,58],
16461  [57,59],
16462  [58,59]
16463  ]
16464  ],
16465  [
16466  "johnson_paragyrate_diminished_rhombicosidodecahedron",
16467  "Paragyrate Diminished Rhombicosidodecahedron",
16468  "J77",
16469  "johnson",
16470  "Polyhedron Database #121",
16471  [
16472  [-0.89511739413, -0.01066203605, -0.29084127179],
16473  [-0.68380884127, 0.21152092494, -0.58168254359],
16474  [-0.89511739413, 0.21152092494, 0.06865831081],
16475  [-0.55321297349, 0.57102050754, -0.40193275229],
16476  [-0.68380884127, 0.57102050754, -0.00000000000],
16477  [-0.76452152635, -0.37016161865, -0.47059106309],
16478  [-0.89511739413, -0.37016161865, -0.06865831081],
16479  [-0.55321297349, -0.14797865766, -0.76143233488],
16480  [-0.89511739413, -0.14797865766, 0.29084127179],
16481  [-0.34190442064, 0.21152092494, -0.83009064569],
16482  [-0.76452152635, 0.21152092494, 0.47059106309],
16483  [-0.21130855286, 0.57102050754, -0.65034085439],
16484  [-0.34190442064, 0.79320346853, -0.11109148049],
16485  [-0.55321297349, 0.57102050754, 0.40193275229],
16486  [-0.55321297349, -0.72966120124, -0.40193275229],
16487  [-0.68380884127, -0.72966120124, 0.00000000000],
16488  [-0.21130855286, -0.37016161865, -0.87252381538],
16489  [-0.68380884127, -0.37016161865, 0.58168254359],
16490  [ 0.00000000000, 0.79320346853, -0.35949958260],
16491  [ 0.00000000000, -0.01066203605, -0.94118212618],
16492  [-0.21130855286, 0.79320346853, 0.29084127179],
16493  [-0.55321297349, -0.01066203605, 0.76143233488],
16494  [-0.21130855286, -0.72966120124, -0.65034085439],
16495  [-0.55321297349, -0.72966120124, 0.40193275229],
16496  [ 0.21130855286, 0.57102050754, -0.65034085439],
16497  [-0.21130855286, 0.57102050754, 0.65034085439],
16498  [ 0.34190442064, 0.21152092494, -0.83009064569],
16499  [ 0.21130855286, -0.37016161865, -0.87252381538],
16500  [-0.21130855286, 0.21152092494, 0.87252381538],
16501  [-0.34190442064, -0.37016161865, 0.83009064569],
16502  [ 0.34190442064, 0.79320346853, -0.11109148049],
16503  [ 0.21130855286, 0.79320346853, 0.29084127179],
16504  [ 0.21130855286, -0.72966120124, -0.65034085439],
16505  [-0.21130855286, -0.72966120124, 0.65034085439],
16506  [ 0.55321297349, 0.57102050754, -0.40193275229],
16507  [ 0.21130855286, 0.57102050754, 0.65034085439],
16508  [ 0.55321297349, -0.14797865766, -0.76143233488],
16509  [-0.00000000000, -0.14797865766, 0.94118212618],
16510  [ 0.68380884127, 0.21152092494, -0.58168254359],
16511  [ 0.21130855286, 0.21152092494, 0.87252381538],
16512  [ 0.68380884127, 0.57102050754, -0.00000000000],
16513  [ 0.55321297349, 0.57102050754, 0.40193275229],
16514  [ 0.55321297349, -0.72966120124, -0.40193275229],
16515  [ 0.21130855286, -0.72966120124, 0.65034085439],
16516  [ 0.76452152635, -0.37016161865, -0.47059106309],
16517  [ 0.34190442064, -0.37016161865, 0.83009064569],
16518  [ 0.89511739413, -0.01066203605, -0.29084127179],
16519  [ 0.55321297349, -0.01066203605, 0.76143233488],
16520  [ 0.89511739413, 0.21152092494, 0.06865831081],
16521  [ 0.76452152635, 0.21152092494, 0.47059106309],
16522  [ 0.68380884127, -0.72966120124, 0.00000000000],
16523  [ 0.55321297349, -0.72966120124, 0.40193275229],
16524  [ 0.89511739413, -0.37016161865, -0.06865831081],
16525  [ 0.68380884127, -0.37016161865, 0.58168254359],
16526  [ 0.89511739413, -0.14797865766, 0.29084127179]
16527  ],
16528  [
16529  [0.94124251586, -179.31756350391, 107.99880557644],
16530  [0.92232869119, 162.81172019540, 129.09937175186],
16531  [0.92232869119, 166.70459888665, 85.73094312148],
16532  [0.89087538490, 134.09252726870, 116.81852286780],
16533  [0.89087538490, 140.13613772628, 90.00000000001],
16534  [0.97106577369, -154.16493060775, 118.98711799516],
16535  [0.97106577369, -157.53323421366, 94.05442815563],
16536  [0.95274418275, -165.02457730647, 143.05369410523],
16537  [0.95274418275, -170.61290105830, 72.22577748956],
16538  [0.92232869119, 148.25678032571, 154.15732953498],
16539  [0.92232869119, 164.53477767260, 59.32147762346],
16540  [0.89087538490, 110.30720654252, 136.88656564168],
16541  [0.87086835536, 113.31809665424, 97.32884973488],
16542  [0.89087538490, 134.09252726870, 63.18147713221],
16543  [1.00000000000, -127.16859907793, 113.69905988308],
16544  [1.00000000000, -133.14200112376, 89.99999999998],
16545  [0.97106577369, -119.72009459651, 153.96444613297],
16546  [0.97106577369, -151.57228676923, 53.20064626834],
16547  [0.87086835536, 89.99999999999, 114.38121844220],
16548  [0.94124251586, -89.99999999999, 179.35096139266],
16549  [0.87086835536, 104.91709431400, 70.49026741946],
16550  [0.94124251586, -178.89587902827, 36.00505936905],
16551  [1.00000000000, -106.15091992088, 130.56730576486],
16552  [1.00000000000, -127.16859907793, 66.30094011689],
16553  [0.89087538490, 69.69279345746, 136.88656564167],
16554  [0.89087538490, 110.30720654252, 43.11343435834],
16555  [0.92232869119, 31.74321967426, 154.15732953497],
16556  [0.97106577369, -60.27990540348, 153.96444613297],
16557  [0.92232869119, 134.97122238702, 18.91492540417],
16558  [0.97106577369, -132.72750132961, 31.25966748280],
16559  [0.87086835536, 66.68190334573, 97.32884973487],
16560  [0.87086835536, 75.08290568598, 70.49026741946],
16561  [1.00000000000, -73.84908007910, 130.56730576486],
16562  [1.00000000000, -106.15091992089, 49.43269423511],
16563  [0.89087538490, 45.90747273128, 116.81852286780],
16564  [0.89087538490, 69.69279345747, 43.11343435833],
16565  [0.95274418275, -14.97542269352, 143.05369410523],
16566  [0.95274418275, -89.99999999999, 8.93526016570],
16567  [0.92232869119, 17.18827980459, 129.09937175186],
16568  [0.92232869119, 45.02877761297, 18.91492540417],
16569  [0.89087538490, 39.86386227371, 90.00000000000],
16570  [0.89087538490, 45.90747273129, 63.18147713221],
16571  [1.00000000000, -52.83140092206, 113.69905988309],
16572  [1.00000000000, -73.84908007910, 49.43269423511],
16573  [0.97106577369, -25.83506939224, 118.98711799516],
16574  [0.97106577369, -47.27249867039, 31.25966748280],
16575  [0.94124251586, -0.68243649607, 107.99880557644],
16576  [0.94124251586, -1.10412097172, 36.00505936904],
16577  [0.92232869119, 13.29540111334, 85.73094312148],
16578  [0.92232869119, 15.46522232739, 59.32147762346],
16579  [1.00000000000, -46.85799887623, 89.99999999998],
16580  [1.00000000000, -52.83140092206, 66.30094011688],
16581  [0.97106577369, -22.46676578632, 94.05442815563],
16582  [0.97106577369, -28.42771323077, 53.20064626834],
16583  [0.95274418275, -9.38709894169, 72.22577748956]
16584  ],
16585  [
16586  [27,16,22,32],
16587  [19,16,27],
16588  [19,9,7,16],
16589  [16,7,5,14,22],
16590  [9,1,7],
16591  [11,3,1,9],
16592  [7,1,0,5],
16593  [0,6,5],
16594  [0,2,8,6],
16595  [1,3,4,2,0],
16596  [2,10,8],
16597  [4,13,10,2],
16598  [36,26,19,27],
16599  [38,26,36],
16600  [38,34,24,26],
16601  [26,24,11,9,19],
16602  [24,18,11],
16603  [34,30,18,24],
16604  [11,18,12,3],
16605  [12,4,3],
16606  [12,20,13,4],
16607  [18,30,31,20,12],
16608  [20,25,13],
16609  [31,35,25,20],
16610  [44,46,38,36],
16611  [52,46,44],
16612  [52,54,48,46],
16613  [46,48,40,34,38],
16614  [54,49,48],
16615  [53,47,49,54],
16616  [48,49,41,40],
16617  [40,30,34],
16618  [40,41,31,30],
16619  [49,47,39,35,41],
16620  [41,35,31],
16621  [39,28,25,35],
16622  [42,50,52,44],
16623  [32,22,14,15,23,33,43,51,50,42],
16624  [50,51,53,54,52],
16625  [51,43,45,53],
16626  [45,47,53],
16627  [45,37,39,47],
16628  [43,33,29,37,45],
16629  [37,28,39],
16630  [29,21,28,37],
16631  [5,6,15,14],
16632  [23,17,29,33],
16633  [15,6,8,17,23],
16634  [17,21,29],
16635  [8,10,21,17],
16636  [42,44,36,27,32],
16637  [10,13,25,28,21]
16638  ],
16639  [
16640  [0,1],
16641  [0,2],
16642  [0,5],
16643  [0,6],
16644  [1,3],
16645  [1,7],
16646  [1,9],
16647  [2,4],
16648  [2,8],
16649  [2,10],
16650  [3,4],
16651  [3,11],
16652  [3,12],
16653  [4,12],
16654  [4,13],
16655  [5,6],
16656  [5,7],
16657  [5,14],
16658  [6,8],
16659  [6,15],
16660  [7,9],
16661  [7,16],
16662  [8,10],
16663  [8,17],
16664  [9,11],
16665  [9,19],
16666  [10,13],
16667  [10,21],
16668  [11,18],
16669  [11,24],
16670  [12,18],
16671  [12,20],
16672  [13,20],
16673  [13,25],
16674  [14,15],
16675  [14,22],
16676  [15,23],
16677  [16,19],
16678  [16,22],
16679  [16,27],
16680  [17,21],
16681  [17,23],
16682  [17,29],
16683  [18,24],
16684  [18,30],
16685  [19,26],
16686  [19,27],
16687  [20,25],
16688  [20,31],
16689  [21,28],
16690  [21,29],
16691  [22,32],
16692  [23,33],
16693  [24,26],
16694  [24,34],
16695  [25,28],
16696  [25,35],
16697  [26,36],
16698  [26,38],
16699  [27,32],
16700  [27,36],
16701  [28,37],
16702  [28,39],
16703  [29,33],
16704  [29,37],
16705  [30,31],
16706  [30,34],
16707  [30,40],
16708  [31,35],
16709  [31,41],
16710  [32,42],
16711  [33,43],
16712  [34,38],
16713  [34,40],
16714  [35,39],
16715  [35,41],
16716  [36,38],
16717  [36,44],
16718  [37,39],
16719  [37,45],
16720  [38,46],
16721  [39,47],
16722  [40,41],
16723  [40,48],
16724  [41,49],
16725  [42,44],
16726  [42,50],
16727  [43,45],
16728  [43,51],
16729  [44,46],
16730  [44,52],
16731  [45,47],
16732  [45,53],
16733  [46,48],
16734  [46,52],
16735  [47,49],
16736  [47,53],
16737  [48,49],
16738  [48,54],
16739  [49,54],
16740  [50,51],
16741  [50,52],
16742  [51,53],
16743  [52,54],
16744  [53,54]
16745  ]
16746  ],
16747  [
16748  "johnson_pentagonal_cupola",
16749  "Pentagonal Cupola",
16750  "J5",
16751  "johnson",
16752  "Polyhedron Database #49",
16753  [
16754  [ 0.30722035250, -0.10767686506, -0.94552702116],
16755  [-0.30722035250, -0.10767686506, -0.94552702116],
16756  [ 0.80431332487, -0.10767686506, -0.58436783636],
16757  [ 0.30722035250, 0.21535373011, -0.42285253878],
16758  [-0.30722035250, 0.21535373011, -0.42285253878],
16759  [-0.80431332487, -0.10767686506, -0.58436783636],
16760  [ 0.99418594475, -0.10767686506, 0.00000000000],
16761  [ 0.49709297237, 0.21535373011, 0.16151529758],
16762  [-0.49709297237, 0.21535373011, 0.16151529758],
16763  [-0.99418594475, -0.10767686506, -0.00000000000],
16764  [ 0.00000000000, 0.21535373011, 0.52267448238],
16765  [ 0.80431332487, -0.10767686506, 0.58436783636],
16766  [-0.80431332487, -0.10767686506, 0.58436783636],
16767  [ 0.30722035250, -0.10767686506, 0.94552702116],
16768  [-0.30722035250, -0.10767686506, 0.94552702116]
16769  ],
16770  [
16771  [1.00000000000, -19.31492121303, 161.00148636537],
16772  [1.00000000000, -160.68507878696, 161.00148636537],
16773  [1.00000000000, -7.62509363515, 125.75834309459],
16774  [0.56530155104, 35.02948816948, 138.41849317790],
16775  [0.56530155104, 144.97051183050, 138.41849317790],
16776  [1.00000000000, -172.37490636484, 125.75834309458],
16777  [1.00000000000, -6.18141426338, 89.99999999999],
16778  [0.56530155104, 23.42352770491, 73.39839025197],
16779  [0.56530155104, 156.57647229507, 73.39839025196],
16780  [1.00000000000, -173.81858573662, 89.99999999999],
16781  [0.56530155104, 89.99999999997, 22.39277092895],
16782  [1.00000000000, -7.62509363516, 54.24165690541],
16783  [1.00000000000, -172.37490636484, 54.24165690540],
16784  [1.00000000000, -19.31492121306, 18.99851363462],
16785  [1.00000000000, -160.68507878694, 18.99851363462]
16786  ],
16787  [
16788  [0,1,5,9,12,14,13,11,6,2],
16789  [7,10,8,4,3],
16790  [1,0,3,4],
16791  [5,1,4],
16792  [9,5,4,8],
16793  [12,9,8],
16794  [14,12,8,10],
16795  [13,14,10],
16796  [11,13,10,7],
16797  [6,11,7],
16798  [2,6,7,3],
16799  [0,2,3]
16800  ],
16801  [
16802  [0,1],
16803  [0,2],
16804  [0,3],
16805  [1,4],
16806  [1,5],
16807  [2,3],
16808  [2,6],
16809  [3,4],
16810  [3,7],
16811  [4,5],
16812  [4,8],
16813  [5,9],
16814  [6,7],
16815  [6,11],
16816  [7,10],
16817  [7,11],
16818  [8,9],
16819  [8,10],
16820  [8,12],
16821  [9,12],
16822  [10,13],
16823  [10,14],
16824  [11,13],
16825  [12,14],
16826  [13,14]
16827  ]
16828  ],
16829  [
16830  "johnson_pentagonal_dipyramid",
16831  "Pentagonal Dipyramid",
16832  "J13",
16833  "johnson",
16834  "Polyhedron Database #57",
16835  [
16836  [ 0.00000000000, 0.61803398875, 0.00000000000],
16837  [ 0.00000000000, -0.00000000000, 1.00000000000],
16838  [ 0.95105651630, -0.00000000000, 0.30901699437],
16839  [-0.95105651630, -0.00000000000, 0.30901699437],
16840  [ 0.58778525229, 0.00000000000, -0.80901699437],
16841  [-0.58778525229, -0.00000000000, -0.80901699437],
16842  [ 0.00000000000, -0.61803398875, 0.00000000000]
16843  ],
16844  [
16845  [0.61803398875, 89.99999999999, 89.99999999999],
16846  [1.00000000000, -0.00000000000, 0.00000000000],
16847  [1.00000000000, -0.00000000000, 72.00000000000],
16848  [1.00000000000, -179.99999999999, 72.00000000000],
16849  [1.00000000000, 0.00000000000, 143.99999999999],
16850  [1.00000000000, -179.99999999999, 143.99999999999],
16851  [0.61803398875, -89.99999999999, 89.99999999999]
16852  ],
16853  [
16854  [0,2,1],
16855  [0,5,4],
16856  [0,4,2],
16857  [0,1,3],
16858  [0,3,5],
16859  [6,1,2],
16860  [6,4,5],
16861  [6,2,4],
16862  [6,3,1],
16863  [6,5,3]
16864  ],
16865  [
16866  [0,1],
16867  [0,2],
16868  [0,3],
16869  [0,4],
16870  [0,5],
16871  [1,2],
16872  [1,3],
16873  [1,6],
16874  [2,4],
16875  [2,6],
16876  [3,5],
16877  [3,6],
16878  [4,5],
16879  [4,6],
16880  [5,6]
16881  ]
16882  ],
16883  [
16884  "johnson_pentagonal_gyrobicupola",
16885  "Pentagonal Gyrobicupola",
16886  "J31",
16887  "johnson",
16888  "Polyhedron Database #75",
16889  [
16890  [ 0.80901699437, 0.00000000000, 0.58778525229],
16891  [ 0.30901699437, 0.00000000000, 0.95105651630],
16892  [ 1.00000000000, 0.00000000000, -0.00000000000],
16893  [-0.30901699437, 0.00000000000, 0.95105651630],
16894  [ 0.30901699438, -0.32491969623, 0.42532540418],
16895  [ 0.50000000000, 0.32491969623, 0.16245984812],
16896  [ 0.00000000000, 0.32491969623, 0.52573111212],
16897  [ 0.50000000000, -0.32491969623, -0.16245984812],
16898  [-0.30901699437, -0.32491969623, 0.42532540418],
16899  [ 0.80901699437, 0.00000000000, -0.58778525229],
16900  [-0.80901699437, 0.00000000000, 0.58778525229],
16901  [ 0.30901699437, 0.32491969623, -0.42532540418],
16902  [-0.50000000000, 0.32491969623, 0.16245984812],
16903  [-0.00000000000, -0.32491969623, -0.52573111212],
16904  [-0.50000000000, -0.32491969623, -0.16245984812],
16905  [-0.30901699438, 0.32491969623, -0.42532540418],
16906  [ 0.30901699437, -0.00000000000, -0.95105651630],
16907  [-1.00000000000, 0.00000000000, 0.00000000000],
16908  [-0.30901699437, -0.00000000000, -0.95105651630],
16909  [-0.80901699437, -0.00000000000, -0.58778525229]
16910  ],
16911  [
16912  [1.00000000000, 0.00000000001, 54.00000000000],
16913  [1.00000000000, 0.00000000002, 18.00000000000],
16914  [1.00000000000, 0.00000000000, 89.99999999999],
16915  [1.00000000000, 179.99999999997, 18.00000000000],
16916  [0.61803398875, -46.43699940041, 46.51292225447],
16917  [0.61803398875, 33.01739809414, 74.75983771732],
16918  [0.61803398875, 89.99999999999, 31.71747441146],
16919  [0.61803398875, -33.01739809415, 105.24016228267],
16920  [0.61803398875, -133.56300059956, 46.51292225447],
16921  [1.00000000000, 0.00000000000, 125.99999999999],
16922  [1.00000000000, 179.99999999999, 54.00000000000],
16923  [0.61803398875, 46.43699940043, 133.48707774552],
16924  [0.61803398875, 146.98260190584, 74.75983771731],
16925  [0.61803398875, -89.99999999999, 148.28252558853],
16926  [0.61803398875, -146.98260190585, 105.24016228267],
16927  [0.61803398875, 133.56300059958, 133.48707774551],
16928  [1.00000000000, -0.00000000002, 161.99999999999],
16929  [1.00000000000, 179.99999999999, 89.99999999999],
16930  [1.00000000000, -179.99999999997, 161.99999999999],
16931  [1.00000000000, -179.99999999998, 125.99999999999]
16932  ],
16933  [
16934  [13,14,8,4,7],
16935  [0,2,7,4],
16936  [1,0,4],
16937  [3,1,4,8],
16938  [10,3,8],
16939  [17,10,8,14],
16940  [19,17,14],
16941  [18,19,14,13],
16942  [16,18,13],
16943  [9,16,13,7],
16944  [2,9,7],
16945  [12,15,11,5,6],
16946  [0,1,6,5],
16947  [2,0,5],
16948  [9,2,5,11],
16949  [16,9,11],
16950  [18,16,11,15],
16951  [19,18,15],
16952  [17,19,15,12],
16953  [10,17,12],
16954  [3,10,12,6],
16955  [1,3,6]
16956  ],
16957  [
16958  [0,1],
16959  [0,2],
16960  [0,4],
16961  [0,5],
16962  [1,3],
16963  [1,4],
16964  [1,6],
16965  [2,5],
16966  [2,7],
16967  [2,9],
16968  [3,6],
16969  [3,8],
16970  [3,10],
16971  [4,7],
16972  [4,8],
16973  [5,6],
16974  [5,11],
16975  [6,12],
16976  [7,9],
16977  [7,13],
16978  [8,10],
16979  [8,14],
16980  [9,11],
16981  [9,16],
16982  [10,12],
16983  [10,17],
16984  [11,15],
16985  [11,16],
16986  [12,15],
16987  [12,17],
16988  [13,14],
16989  [13,16],
16990  [13,18],
16991  [14,17],
16992  [14,19],
16993  [15,18],
16994  [15,19],
16995  [16,18],
16996  [17,19],
16997  [18,19]
16998  ]
16999  ],
17000  [
17001  "johnson_pentagonal_gyrocupolarotunda",
17002  "Pentagonal Gyrocupolarotunda",
17003  "J33",
17004  "johnson",
17005  "Polyhedron Database #77",
17006  [
17007  [ 0.48929794886, -0.52375640567, 0.15898254091],
17008  [ 0.97859589772, -0.20579132385, 0.00000000000],
17009  [ 0.79170071188, -0.20579132385, 0.57520423663],
17010  [ 0.30240276302, -0.52375640567, -0.41622169572],
17011  [ 0.79170071188, -0.20579132385, -0.57520423663],
17012  [-0.00000000000, -0.52375640567, 0.51447830962],
17013  [ 0.30240276302, -0.20579132385, 0.93070000534],
17014  [ 0.30240276302, -0.20579132385, -0.93070000534],
17015  [-0.30240276302, -0.52375640567, -0.41622169572],
17016  [-0.48929794886, -0.52375640567, 0.15898254091],
17017  [ 0.79170071188, 0.30868698577, 0.25723915481],
17018  [-0.30240276302, -0.20579132385, 0.93070000534],
17019  [ 0.48929794886, 0.30868698577, -0.67346085053],
17020  [-0.30240276302, -0.20579132385, -0.93070000534],
17021  [ 0.00000000000, 0.30868698577, 0.83244339144],
17022  [-0.79170071188, -0.20579132385, 0.57520423663],
17023  [ 0.48929794886, 0.62665206759, -0.15898254091],
17024  [-0.79170071188, -0.20579132385, -0.57520423663],
17025  [ 0.30240276302, 0.62665206759, 0.41622169572],
17026  [-0.97859589772, -0.20579132385, 0.00000000000],
17027  [ 0.00000000000, 0.62665206759, -0.51447830962],
17028  [-0.48929794886, 0.30868698577, -0.67346085053],
17029  [-0.30240276302, 0.62665206759, 0.41622169572],
17030  [-0.79170071188, 0.30868698577, 0.25723915481],
17031  [-0.48929794886, 0.62665206759, -0.15898254091]
17032  ],
17033  [
17034  [0.73417212120, -46.94813165232, 77.49371610816],
17035  [1.00000000000, -11.87582630949, 89.99999999999],
17036  [1.00000000000, -14.57076836071, 54.88606373435],
17037  [0.73417212120, -59.99902685056, 124.53618426143],
17038  [1.00000000000, -14.57076836072, 125.11393626563],
17039  [0.73417212120, -89.99999999999, 45.51200522128],
17040  [1.00000000000, -34.23609575664, 21.45580279234],
17041  [1.00000000000, -34.23609575667, 158.54419720764],
17042  [0.73417212120, -120.00097314944, 124.53618426143],
17043  [0.73417212120, -133.05186834768, 77.49371610816],
17044  [0.88783424981, 21.30099109945, 73.15774001182],
17045  [1.00000000000, -145.76390424335, 21.45580279234],
17046  [0.88783424981, 32.24689857204, 139.33595894372],
17047  [1.00000000000, -145.76390424332, 158.54419720764],
17048  [0.88783424981, 89.99999999998, 20.34580761434],
17049  [1.00000000000, -165.42923163929, 54.88606373435],
17050  [0.81079019783, 52.01682666814, 101.30802279485],
17051  [1.00000000000, -165.42923163928, 125.11393626564],
17052  [0.81079019783, 64.23949134904, 59.11255988195],
17053  [1.00000000000, -168.12417369050, 89.99999999999],
17054  [0.81079019783, 89.99999999998, 129.38582952635],
17055  [0.88783424981, 147.75310142795, 139.33595894372],
17056  [0.81079019783, 115.76050865093, 59.11255988196],
17057  [0.88783424981, 158.69900890053, 73.15774001182],
17058  [0.81079019783, 127.98317333184, 101.30802279485]
17059  ],
17060  [
17061  [3,8,9,5,0],
17062  [6,2,0,5],
17063  [11,6,5],
17064  [15,11,5,9],
17065  [19,15,9],
17066  [17,19,9,8],
17067  [13,17,8],
17068  [7,13,8,3],
17069  [4,7,3],
17070  [1,4,3,0],
17071  [2,1,0],
17072  [16,18,22,24,20],
17073  [21,13,7,12,20],
17074  [24,21,20],
17075  [17,13,21],
17076  [23,19,17,21,24],
17077  [22,23,24],
17078  [15,19,23],
17079  [14,11,15,23,22],
17080  [18,14,22],
17081  [6,11,14],
17082  [10,2,6,14,18],
17083  [16,10,18],
17084  [1,2,10],
17085  [12,4,1,10,16],
17086  [20,12,16],
17087  [7,4,12]
17088  ],
17089  [
17090  [0,1],
17091  [0,2],
17092  [0,3],
17093  [0,5],
17094  [1,2],
17095  [1,4],
17096  [1,10],
17097  [2,6],
17098  [2,10],
17099  [3,4],
17100  [3,7],
17101  [3,8],
17102  [4,7],
17103  [4,12],
17104  [5,6],
17105  [5,9],
17106  [5,11],
17107  [6,11],
17108  [6,14],
17109  [7,12],
17110  [7,13],
17111  [8,9],
17112  [8,13],
17113  [8,17],
17114  [9,15],
17115  [9,19],
17116  [10,16],
17117  [10,18],
17118  [11,14],
17119  [11,15],
17120  [12,16],
17121  [12,20],
17122  [13,17],
17123  [13,21],
17124  [14,18],
17125  [14,22],
17126  [15,19],
17127  [15,23],
17128  [16,18],
17129  [16,20],
17130  [17,19],
17131  [17,21],
17132  [18,22],
17133  [19,23],
17134  [20,21],
17135  [20,24],
17136  [21,24],
17137  [22,23],
17138  [22,24],
17139  [23,24]
17140  ]
17141  ],
17142  [
17143  "johnson_pentagonal_orthobicupola",
17144  "Pentagonal Orthobicupola",
17145  "J30",
17146  "johnson",
17147  "Polyhedron Database #74",
17148  [
17149  [ 0.30901699438, 0.00000000000, 0.95105651630],
17150  [-0.30901699437, 0.00000000000, 0.95105651630],
17151  [ 0.80901699437, 0.00000000000, 0.58778525229],
17152  [ 0.00000000000, 0.32491969623, 0.52573111212],
17153  [-0.00000000000, -0.32491969623, 0.52573111212],
17154  [-0.80901699437, 0.00000000000, 0.58778525229],
17155  [ 0.50000000000, 0.32491969623, 0.16245984812],
17156  [ 0.50000000000, -0.32491969623, 0.16245984812],
17157  [ 1.00000000000, 0.00000000000, -0.00000000000],
17158  [-0.50000000000, 0.32491969623, 0.16245984812],
17159  [-0.50000000000, -0.32491969623, 0.16245984812],
17160  [-1.00000000000, 0.00000000000, 0.00000000000],
17161  [ 0.30901699437, 0.32491969623, -0.42532540418],
17162  [ 0.30901699437, -0.32491969623, -0.42532540418],
17163  [ 0.80901699437, -0.00000000000, -0.58778525229],
17164  [-0.30901699438, 0.32491969623, -0.42532540418],
17165  [-0.30901699438, -0.32491969623, -0.42532540418],
17166  [-0.80901699437, -0.00000000000, -0.58778525229],
17167  [ 0.30901699437, -0.00000000000, -0.95105651630],
17168  [-0.30901699438, 0.00000000000, -0.95105651630]
17169  ],
17170  [
17171  [1.00000000000, 0.00000000000, 18.00000000000],
17172  [1.00000000000, 179.99999999999, 17.99999999999],
17173  [1.00000000000, 0.00000000001, 54.00000000000],
17174  [0.61803398875, 89.99999999998, 31.71747441146],
17175  [0.61803398875, -89.99999999999, 31.71747441146],
17176  [1.00000000000, 179.99999999998, 53.99999999999],
17177  [0.61803398875, 33.01739809414, 74.75983771732],
17178  [0.61803398875, -33.01739809414, 74.75983771731],
17179  [1.00000000000, 0.00000000000, 90.00000000000],
17180  [0.61803398875, 146.98260190585, 74.75983771731],
17181  [0.61803398875, -146.98260190585, 74.75983771731],
17182  [1.00000000000, 179.99999999999, 89.99999999999],
17183  [0.61803398875, 46.43699940043, 133.48707774551],
17184  [0.61803398875, -46.43699940043, 133.48707774551],
17185  [1.00000000000, -0.00000000001, 125.99999999999],
17186  [0.61803398875, 133.56300059957, 133.48707774552],
17187  [0.61803398875, -133.56300059957, 133.48707774551],
17188  [1.00000000000, -179.99999999998, 125.99999999999],
17189  [1.00000000000, -0.00000000002, 162.00000000000],
17190  [1.00000000000, 179.99999999999, 161.99999999999]
17191  ],
17192  [
17193  [13,16,10,4,7],
17194  [0,2,7,4],
17195  [1,0,4],
17196  [5,1,4,10],
17197  [11,5,10],
17198  [17,11,10,16],
17199  [19,17,16],
17200  [18,19,16,13],
17201  [14,18,13],
17202  [8,14,13,7],
17203  [2,8,7],
17204  [9,15,12,6,3],
17205  [2,0,3,6],
17206  [8,2,6],
17207  [14,8,6,12],
17208  [18,14,12],
17209  [19,18,12,15],
17210  [17,19,15],
17211  [11,17,15,9],
17212  [5,11,9],
17213  [1,5,9,3],
17214  [0,1,3]
17215  ],
17216  [
17217  [0,1],
17218  [0,2],
17219  [0,3],
17220  [0,4],
17221  [1,3],
17222  [1,4],
17223  [1,5],
17224  [2,6],
17225  [2,7],
17226  [2,8],
17227  [3,6],
17228  [3,9],
17229  [4,7],
17230  [4,10],
17231  [5,9],
17232  [5,10],
17233  [5,11],
17234  [6,8],
17235  [6,12],
17236  [7,8],
17237  [7,13],
17238  [8,14],
17239  [9,11],
17240  [9,15],
17241  [10,11],
17242  [10,16],
17243  [11,17],
17244  [12,14],
17245  [12,15],
17246  [12,18],
17247  [13,14],
17248  [13,16],
17249  [13,18],
17250  [14,18],
17251  [15,17],
17252  [15,19],
17253  [16,17],
17254  [16,19],
17255  [17,19],
17256  [18,19]
17257  ]
17258  ],
17259  [
17260  "johnson_pentagonal_orthobirotunda",
17261  "Pentagonal Orthobirotunda",
17262  "J34",
17263  "johnson",
17264  "Polyhedron Database #78",
17265  [
17266  [ 0.80901699437, -0.52573111212, 0.26286555606],
17267  [ 1.00000000000, -0.00000000000, 0.00000000000],
17268  [ 0.50000000000, -0.85065080835, -0.16245984812],
17269  [ 0.80901699437, -0.00000000000, 0.58778525229],
17270  [ 0.30901699437, -0.85065080835, 0.42532540418],
17271  [ 0.80901699437, -0.00000000000, -0.58778525229],
17272  [ 0.50000000000, -0.52573111212, -0.68819096024],
17273  [ 0.80901699437, 0.52573111212, 0.26286555606],
17274  [ 0.30901699438, 0.00000000000, 0.95105651630],
17275  [-0.00000000000, -0.85065080835, -0.52573111212],
17276  [-0.00000000000, -0.52573111212, 0.85065080835],
17277  [ 0.30901699437, -0.00000000000, -0.95105651630],
17278  [ 0.50000000000, 0.52573111212, -0.68819096024],
17279  [-0.30901699438, -0.85065080835, 0.42532540418],
17280  [ 0.50000000000, 0.85065080835, -0.16245984812],
17281  [ 0.30901699438, 0.85065080835, 0.42532540418],
17282  [-0.50000000000, -0.85065080835, -0.16245984812],
17283  [ 0.00000000000, 0.52573111212, 0.85065080835],
17284  [-0.30901699437, 0.00000000000, 0.95105651630],
17285  [-0.50000000000, -0.52573111212, -0.68819096024],
17286  [-0.30901699438, 0.00000000000, -0.95105651630],
17287  [ 0.00000000000, 0.85065080835, -0.52573111212],
17288  [-0.80901699437, -0.52573111212, 0.26286555606],
17289  [-0.30901699437, 0.85065080835, 0.42532540418],
17290  [-0.80901699437, 0.00000000000, 0.58778525229],
17291  [-0.50000000000, 0.52573111212, -0.68819096024],
17292  [-0.80901699437, 0.00000000000, -0.58778525229],
17293  [-0.50000000000, 0.85065080835, -0.16245984812],
17294  [-1.00000000000, 0.00000000000, 0.00000000000],
17295  [-0.80901699437, 0.52573111212, 0.26286555606]
17296  ],
17297  [
17298  [1.00000000000, -33.01739809414, 74.75983771732],
17299  [1.00000000000, -0.00000000001, 89.99999999999],
17300  [1.00000000000, -59.55361568294, 99.34970354257],
17301  [1.00000000000, -0.00000000001, 54.00000000000],
17302  [1.00000000000, -70.03537125612, 64.82873782805],
17303  [1.00000000000, -0.00000000001, 125.99999999999],
17304  [1.00000000000, -46.43699940043, 133.48707774551],
17305  [1.00000000000, 33.01739809413, 74.75983771732],
17306  [1.00000000000, 0.00000000000, 18.00000000000],
17307  [1.00000000000, -90.00000000000, 121.71747441145],
17308  [1.00000000000, -90.00000000000, 31.71747441146],
17309  [1.00000000000, -0.00000000002, 161.99999999999],
17310  [1.00000000000, 46.43699940041, 133.48707774551],
17311  [1.00000000000, -109.96462874389, 64.82873782806],
17312  [1.00000000000, 59.55361568292, 99.34970354257],
17313  [1.00000000000, 70.03537125611, 64.82873782806],
17314  [1.00000000000, -120.44638431706, 99.34970354256],
17315  [1.00000000000, 89.99999999998, 31.71747441146],
17316  [1.00000000000, 179.99999999997, 18.00000000000],
17317  [1.00000000000, -133.56300059957, 133.48707774551],
17318  [1.00000000000, 179.99999999999, 161.99999999999],
17319  [1.00000000000, 89.99999999998, 121.71747441145],
17320  [1.00000000000, -146.98260190586, 74.75983771731],
17321  [1.00000000000, 109.96462874387, 64.82873782806],
17322  [1.00000000000, 179.99999999998, 54.00000000000],
17323  [1.00000000000, 133.56300059956, 133.48707774552],
17324  [1.00000000000, 179.99999999998, 125.99999999999],
17325  [1.00000000000, 120.44638431705, 99.34970354257],
17326  [1.00000000000, 179.99999999998, 89.99999999999],
17327  [1.00000000000, 146.98260190584, 74.75983771732]
17328  ],
17329  [
17330  [23,27,21,14,15],
17331  [7,3,8,17,15],
17332  [14,7,15],
17333  [1,3,7],
17334  [12,5,1,7,14],
17335  [21,12,14],
17336  [11,5,12],
17337  [25,20,11,12,21],
17338  [27,25,21],
17339  [26,20,25],
17340  [29,28,26,25,27],
17341  [23,29,27],
17342  [24,28,29],
17343  [17,18,24,29,23],
17344  [15,17,23],
17345  [8,18,17],
17346  [2,9,16,13,4],
17347  [10,8,3,0,4],
17348  [13,10,4],
17349  [18,8,10],
17350  [22,24,18,10,13],
17351  [16,22,13],
17352  [28,24,22],
17353  [19,26,28,22,16],
17354  [9,19,16],
17355  [20,26,19],
17356  [6,11,20,19,9],
17357  [2,6,9],
17358  [5,11,6],
17359  [0,1,5,6,2],
17360  [4,0,2],
17361  [3,1,0]
17362  ],
17363  [
17364  [0,1],
17365  [0,2],
17366  [0,3],
17367  [0,4],
17368  [1,3],
17369  [1,5],
17370  [1,7],
17371  [2,4],
17372  [2,6],
17373  [2,9],
17374  [3,7],
17375  [3,8],
17376  [4,10],
17377  [4,13],
17378  [5,6],
17379  [5,11],
17380  [5,12],
17381  [6,9],
17382  [6,11],
17383  [7,14],
17384  [7,15],
17385  [8,10],
17386  [8,17],
17387  [8,18],
17388  [9,16],
17389  [9,19],
17390  [10,13],
17391  [10,18],
17392  [11,12],
17393  [11,20],
17394  [12,14],
17395  [12,21],
17396  [13,16],
17397  [13,22],
17398  [14,15],
17399  [14,21],
17400  [15,17],
17401  [15,23],
17402  [16,19],
17403  [16,22],
17404  [17,18],
17405  [17,23],
17406  [18,24],
17407  [19,20],
17408  [19,26],
17409  [20,25],
17410  [20,26],
17411  [21,25],
17412  [21,27],
17413  [22,24],
17414  [22,28],
17415  [23,27],
17416  [23,29],
17417  [24,28],
17418  [24,29],
17419  [25,26],
17420  [25,27],
17421  [26,28],
17422  [27,29],
17423  [28,29]
17424  ]
17425  ],
17426  [
17427  "johnson_pentagonal_orthocupolarontunda",
17428  "Pentagonal Orthocupolarontunda",
17429  "J32",
17430  "johnson",
17431  "Polyhedron Database #76",
17432  [
17433  [-0.97859589772, -0.20579132385, 0.00000000000],
17434  [-0.79170071188, -0.20579132385, 0.57520423663],
17435  [-0.79170071188, -0.20579132385, -0.57520423663],
17436  [-0.48929794886, -0.52375640567, -0.15898254091],
17437  [-0.79170071188, 0.30868698577, 0.25723915481],
17438  [-0.30240276302, -0.52375640567, 0.41622169572],
17439  [-0.30240276302, -0.20579132385, 0.93070000534],
17440  [-0.30240276302, -0.20579132385, -0.93070000534],
17441  [-0.48929794886, 0.30868698577, -0.67346085053],
17442  [ 0.00000000000, -0.52375640567, -0.51447830962],
17443  [-0.48929794886, 0.62665206759, -0.15898254091],
17444  [-0.30240276302, 0.62665206759, 0.41622169572],
17445  [ 0.30240276302, -0.52375640567, 0.41622169572],
17446  [-0.00000000000, 0.30868698577, 0.83244339144],
17447  [ 0.30240276302, -0.20579132385, 0.93070000534],
17448  [ 0.48929794886, -0.52375640567, -0.15898254091],
17449  [ 0.30240276302, -0.20579132385, -0.93070000534],
17450  [-0.00000000000, 0.62665206759, -0.51447830962],
17451  [ 0.30240276302, 0.62665206759, 0.41622169572],
17452  [ 0.79170071188, -0.20579132385, 0.57520423663],
17453  [ 0.48929794886, 0.30868698577, -0.67346085053],
17454  [ 0.79170071188, -0.20579132385, -0.57520423663],
17455  [ 0.48929794886, 0.62665206759, -0.15898254091],
17456  [ 0.97859589772, -0.20579132385, 0.00000000000],
17457  [ 0.79170071188, 0.30868698577, 0.25723915481]
17458  ],
17459  [
17460  [1.00000000000, -168.12417369050, 89.99999999999],
17461  [1.00000000000, -165.42923163927, 54.88606373436],
17462  [1.00000000000, -165.42923163928, 125.11393626564],
17463  [0.73417212120, -133.05186834767, 102.50628389183],
17464  [0.88783424981, 158.69900890054, 73.15774001182],
17465  [0.73417212120, -120.00097314944, 55.46381573856],
17466  [1.00000000000, -145.76390424332, 21.45580279235],
17467  [1.00000000000, -145.76390424334, 158.54419720765],
17468  [0.88783424981, 147.75310142793, 139.33595894371],
17469  [0.73417212120, -89.99999999998, 134.48799477872],
17470  [0.81079019783, 127.98317333184, 101.30802279484],
17471  [0.81079019783, 115.76050865095, 59.11255988195],
17472  [0.73417212120, -59.99902685056, 55.46381573856],
17473  [0.88783424981, 90.00000000001, 20.34580761433],
17474  [1.00000000000, -34.23609575666, 21.45580279234],
17475  [0.73417212120, -46.94813165231, 102.50628389183],
17476  [1.00000000000, -34.23609575664, 158.54419720764],
17477  [0.81079019783, 89.99999999999, 129.38582952634],
17478  [0.81079019783, 64.23949134905, 59.11255988195],
17479  [1.00000000000, -14.57076836071, 54.88606373435],
17480  [0.88783424981, 32.24689857206, 139.33595894371],
17481  [1.00000000000, -14.57076836070, 125.11393626564],
17482  [0.81079019783, 52.01682666816, 101.30802279484],
17483  [1.00000000000, -11.87582630949, 89.99999999999],
17484  [0.88783424981, 21.30099109945, 73.15774001182]
17485  ],
17486  [
17487  [12,15,9,3,5],
17488  [0,1,5,3],
17489  [2,0,3],
17490  [7,2,3,9],
17491  [16,7,9],
17492  [21,16,9,15],
17493  [23,21,15],
17494  [19,23,15,12],
17495  [14,19,12],
17496  [6,14,12,5],
17497  [1,6,5],
17498  [11,10,17,22,18],
17499  [24,19,14,13,18],
17500  [22,24,18],
17501  [23,19,24],
17502  [20,21,23,24,22],
17503  [17,20,22],
17504  [16,21,20],
17505  [8,7,16,20,17],
17506  [10,8,17],
17507  [2,7,8],
17508  [4,0,2,8,10],
17509  [11,4,10],
17510  [1,0,4],
17511  [13,6,1,4,11],
17512  [18,13,11],
17513  [14,6,13]
17514  ],
17515  [
17516  [0,1],
17517  [0,2],
17518  [0,3],
17519  [0,4],
17520  [1,4],
17521  [1,5],
17522  [1,6],
17523  [2,3],
17524  [2,7],
17525  [2,8],
17526  [3,5],
17527  [3,9],
17528  [4,10],
17529  [4,11],
17530  [5,6],
17531  [5,12],
17532  [6,13],
17533  [6,14],
17534  [7,8],
17535  [7,9],
17536  [7,16],
17537  [8,10],
17538  [8,17],
17539  [9,15],
17540  [9,16],
17541  [10,11],
17542  [10,17],
17543  [11,13],
17544  [11,18],
17545  [12,14],
17546  [12,15],
17547  [12,19],
17548  [13,14],
17549  [13,18],
17550  [14,19],
17551  [15,21],
17552  [15,23],
17553  [16,20],
17554  [16,21],
17555  [17,20],
17556  [17,22],
17557  [18,22],
17558  [18,24],
17559  [19,23],
17560  [19,24],
17561  [20,21],
17562  [20,22],
17563  [21,23],
17564  [22,24],
17565  [23,24]
17566  ]
17567  ],
17568  [
17569  "johnson_pentagonal_pyramid",
17570  "Pentagonal Pyramid",
17571  "J2",
17572  "johnson",
17573  "Polyhedron Database #46",
17574  [
17575  [ 0.00000000000, 0.51231760759, 0.00000000000],
17576  [ 0.00000000000, -0.10246352152, 0.99473676254],
17577  [ 0.94605088002, -0.10246352152, 0.30739056456],
17578  [-0.94605088002, -0.10246352152, 0.30739056456],
17579  [ 0.58469159894, -0.10246352152, -0.80475894583],
17580  [-0.58469159894, -0.10246352152, -0.80475894583]
17581  ],
17582  [
17583  [0.51231760759, 89.99999999999, 89.99999999999],
17584  [1.00000000000, -89.99999999999, 5.88104874729],
17585  [1.00000000000, -6.18141426337, 72.09795604403],
17586  [1.00000000000, -173.81858573661, 72.09795604404],
17587  [1.00000000000, -9.93979324212, 143.58698182134],
17588  [1.00000000000, -170.06020675786, 143.58698182134]
17589  ],
17590  [
17591  [0,2,1],
17592  [0,5,4],
17593  [0,4,2],
17594  [0,1,3],
17595  [0,3,5],
17596  [1,2,4,5,3]
17597  ],
17598  [
17599  [0,1],
17600  [0,2],
17601  [0,3],
17602  [0,4],
17603  [0,5],
17604  [1,2],
17605  [1,3],
17606  [2,4],
17607  [3,5],
17608  [4,5]
17609  ]
17610  ],
17611  [
17612  "johnson_pentagonal_rotunda",
17613  "Pentagonal Rotunda",
17614  "J6",
17615  "johnson",
17616  "Polyhedron Database #50",
17617  [
17618  [-0.29220218217, -0.32537191156, -0.89930584559],
17619  [-0.47279306233, 0.17175213337, -0.65074382312],
17620  [-0.76499524450, -0.32537191156, -0.55580157885],
17621  [ 0.29220218217, -0.32537191156, -0.89930584559],
17622  [-0.00000000000, 0.47899168976, -0.49712404493],
17623  [ 0.47279306233, 0.17175213337, -0.65074382312],
17624  [-0.47279306233, 0.47899168976, -0.15361977820],
17625  [-0.94558612467, -0.32537191156, -0.00000000000],
17626  [ 0.76499524450, -0.32537191156, -0.55580157885],
17627  [ 0.47279306233, 0.47899168976, -0.15361977819],
17628  [-0.76499524450, 0.17175213337, 0.24856202246],
17629  [-0.29220218217, 0.47899168976, 0.40218180066],
17630  [ 0.29220218217, 0.47899168976, 0.40218180066],
17631  [-0.76499524450, -0.32537191156, 0.55580157885],
17632  [ 0.94558612467, -0.32537191156, 0.00000000000],
17633  [ 0.76499524450, 0.17175213337, 0.24856202246],
17634  [-0.00000000000, 0.17175213337, 0.80436360132],
17635  [-0.29220218217, -0.32537191156, 0.89930584559],
17636  [ 0.76499524450, -0.32537191156, 0.55580157885],
17637  [ 0.29220218217, -0.32537191156, 0.89930584559]
17638  ],
17639  [
17640  [1.00000000000, -131.92561392578, 154.06697321909],
17641  [0.82249595649, 160.03537125611, 142.29608915044],
17642  [1.00000000000, -156.95871796350, 123.76594330353],
17643  [1.00000000000, -48.07438607416, 154.06697321908],
17644  [0.69033713133, 89.99999999999, 136.06420572229],
17645  [0.82249595649, 19.96462874388, 142.29608915042],
17646  [0.69033713133, 134.62685873238, 102.85759532880],
17647  [1.00000000000, -161.01189134548, 90.00000000000],
17648  [1.00000000000, -23.04128203647, 123.76594330352],
17649  [0.69033713133, 45.37314126762, 102.85759532877],
17650  [0.82249595649, 167.34612388850, 72.40993812016],
17651  [0.69033713133, 121.38469498319, 54.36725809145],
17652  [0.69033713133, 58.61530501681, 54.36725809145],
17653  [1.00000000000, -156.95871796352, 56.23405669646],
17654  [1.00000000000, -18.98810865450, 89.99999999999],
17655  [0.82249595649, 12.65387611150, 72.40993812013],
17656  [0.82249595649, 89.99999999999, 12.05310532627],
17657  [1.00000000000, -131.92561392583, 25.93302678090],
17658  [1.00000000000, -23.04128203647, 56.23405669645],
17659  [1.00000000000, -48.07438607417, 25.93302678088]
17660  ],
17661  [
17662  [7,13,17,19,18,14,8,3,0,2],
17663  [6,4,9,12,11],
17664  [16,17,13,10,11],
17665  [12,16,11],
17666  [19,17,16],
17667  [15,18,19,16,12],
17668  [9,15,12],
17669  [14,18,15],
17670  [5,8,14,15,9],
17671  [4,5,9],
17672  [3,8,5],
17673  [1,0,3,5,4],
17674  [6,1,4],
17675  [2,0,1],
17676  [10,7,2,1,6],
17677  [11,10,6],
17678  [13,7,10]
17679  ],
17680  [
17681  [0,1],
17682  [0,2],
17683  [0,3],
17684  [1,2],
17685  [1,4],
17686  [1,6],
17687  [2,7],
17688  [3,5],
17689  [3,8],
17690  [4,5],
17691  [4,6],
17692  [4,9],
17693  [5,8],
17694  [5,9],
17695  [6,10],
17696  [6,11],
17697  [7,10],
17698  [7,13],
17699  [8,14],
17700  [9,12],
17701  [9,15],
17702  [10,11],
17703  [10,13],
17704  [11,12],
17705  [11,16],
17706  [12,15],
17707  [12,16],
17708  [13,17],
17709  [14,15],
17710  [14,18],
17711  [15,18],
17712  [16,17],
17713  [16,19],
17714  [17,19],
17715  [18,19]
17716  ]
17717  ],
17718  [
17719  "johnson_snub_disphenoid",
17720  "Snub Disphenoid",
17721  "J84",
17722  "johnson",
17723  "Polyhedron Database #128",
17724  [
17725  [ 0.00000000000, -0.84283351224, -0.53775339178],
17726  [ 0.69326703905, -0.22094137669, 0.00026677772],
17727  [-0.00000000000, -0.84310218220, 0.53775339178],
17728  [ 0.00028497351, 0.22102981081, -0.69305025916],
17729  [-0.00014605391, 0.22110974715, 0.69321339349],
17730  [ 0.53754860652, 0.84323276157, 0.00007378079],
17731  [-0.69299662942, -0.22119808183, -0.00002037069],
17732  [-0.53795793575, 0.84270283344, -0.00048332214]
17733  ],
17734  [
17735  [0.99977349421, -89.99999999999, 122.53911291991],
17736  [0.72762239557, -17.67686815088, 89.97899289847],
17737  [1.00000000000, -89.99999999999, 57.46916694571],
17738  [0.72744272641, 89.92612865103, 162.31129699367],
17739  [0.72762239557, 90.03784668607, 17.69078660021],
17740  [1.00000000000, 57.48308262375, 89.99577267229],
17741  [0.72744272641, -162.29740035216, 90.00160446282],
17742  [0.99977349421, 122.55302315979, 90.02769859374]
17743  ],
17744  [
17745  [3,7,6],
17746  [5,7,3],
17747  [1,5,3],
17748  [6,7,4],
17749  [5,4,7],
17750  [1,4,5],
17751  [1,2,4],
17752  [0,2,1],
17753  [3,0,1],
17754  [4,2,6],
17755  [0,6,2],
17756  [3,6,0]
17757  ],
17758  [
17759  [0,1],
17760  [0,2],
17761  [0,3],
17762  [0,6],
17763  [1,2],
17764  [1,3],
17765  [1,4],
17766  [1,5],
17767  [2,4],
17768  [2,6],
17769  [3,5],
17770  [3,6],
17771  [3,7],
17772  [4,5],
17773  [4,6],
17774  [4,7],
17775  [5,7],
17776  [6,7]
17777  ]
17778  ],
17779  [
17780  "johnson_snub_square_antiprism",
17781  "Snub Square Antiprism",
17782  "J85",
17783  "johnson",
17784  "Polyhedron Database #129",
17785  [
17786  [ 0.69897419247, -0.15122858467, -0.69897424376],
17787  [ 0.00000000000, 0.15122995753, -0.98849860898],
17788  [ 0.40739112242, 0.55150159459, -0.40739099521],
17789  [ 0.98849856935, 0.15122947501, -0.00000010945],
17790  [ 0.00000025688, -0.55150079443, -0.57613872651],
17791  [-0.40739178266, 0.55150112587, -0.40739076769],
17792  [ 0.57613858381, -0.55150079443, -0.00000001868],
17793  [-0.69897384132, -0.15122890635, -0.69897436488],
17794  [ 0.40739134994, 0.55150046300, 0.40739190987],
17795  [ 0.69897407135, -0.15122936127, 0.69897379003],
17796  [-0.40739155514, 0.55149999428, 0.40739213739],
17797  [-0.57613845095, -0.55150079443, -0.00000039958],
17798  [-0.98849849952, 0.15122879262, -0.00000003963],
17799  [-0.00000012402, -0.55150079443, 0.57613830825],
17800  [ 0.00000006983, 0.15122831010, 0.98849845990],
17801  [-0.69897396243, -0.15122968295, 0.69897366891]
17802  ],
17803  [
17804  [1.00000000000, -12.20822353109, 134.34476525818],
17805  [1.00000000000, 89.99999999999, 171.30178888258],
17806  [0.79755185314, 53.54692658375, 120.71725810997],
17807  [0.99999988786, 8.69818413241, 90.00000627123],
17808  [0.79755185314, -89.99997331269, 136.25166325658],
17809  [0.79755175005, 126.45314106607, 120.71724349746],
17810  [0.79755175005, -43.74834383206, 90.00000134168],
17811  [0.99999988786, -167.79174533025, 134.34478124187],
17812  [0.79755165408, 53.54685510687, 59.28265696064],
17813  [0.99999971564, -12.20828639554, 45.65525516955],
17814  [0.79755155100, 126.45318195780, 59.28263354814],
17815  [0.79755165408, -136.25164956798, 90.00002870530],
17816  [0.99999971564, 171.30185391070, 90.00000227042],
17817  [0.79755155100, -90.00001288452, 43.74835752067],
17818  [0.99999960350, 89.99997354423, 8.69811910429],
17819  [0.99999960350, -167.79168656983, 45.65525859340]
17820  ],
17821  [
17822  [6,4,11,13],
17823  [14,9,13],
17824  [6,13,9],
17825  [3,6,9],
17826  [12,15,11],
17827  [13,11,15],
17828  [14,13,15],
17829  [1,7,4],
17830  [11,4,7],
17831  [12,11,7],
17832  [3,0,6],
17833  [4,6,0],
17834  [1,4,0],
17835  [8,10,5,2],
17836  [0,3,2],
17837  [8,2,3],
17838  [9,8,3],
17839  [7,1,5],
17840  [2,5,1],
17841  [0,2,1],
17842  [15,12,10],
17843  [5,10,12],
17844  [7,5,12],
17845  [9,14,8],
17846  [10,8,14],
17847  [15,10,14]
17848  ],
17849  [
17850  [0,1],
17851  [0,2],
17852  [0,3],
17853  [0,4],
17854  [0,6],
17855  [1,2],
17856  [1,4],
17857  [1,5],
17858  [1,7],
17859  [2,3],
17860  [2,5],
17861  [2,8],
17862  [3,6],
17863  [3,8],
17864  [3,9],
17865  [4,6],
17866  [4,7],
17867  [4,11],
17868  [5,7],
17869  [5,10],
17870  [5,12],
17871  [6,9],
17872  [6,13],
17873  [7,11],
17874  [7,12],
17875  [8,9],
17876  [8,10],
17877  [8,14],
17878  [9,13],
17879  [9,14],
17880  [10,12],
17881  [10,14],
17882  [10,15],
17883  [11,12],
17884  [11,13],
17885  [11,15],
17886  [12,15],
17887  [13,14],
17888  [13,15],
17889  [14,15]
17890  ]
17891  ],
17892  [
17893  "johnson_sphenocorona",
17894  "Sphenocorona",
17895  "J86",
17896  "johnson",
17897  "Polyhedron Database #130",
17898  [
17899  [-0.85403606889, -0.14090095692, -0.50076872245],
17900  [-0.85403606889, -0.14090095692, 0.50076872245],
17901  [-0.50076681316, 0.65125231843, 0.00000029828],
17902  [-0.00000018523, 0.29461011438, -0.79064155301],
17903  [-0.00000000000, -0.66406067604, -0.50076783510],
17904  [ 0.00000000000, -0.66406067604, 0.50076783510],
17905  [-0.00000007600, 0.29461011438, 0.79064155301],
17906  [ 0.50076740481, 0.65125209317, -0.00000029828],
17907  [ 0.85403590368, -0.14090068722, -0.50076783510],
17908  [ 0.85403590368, -0.14090068722, 0.50076783510]
17909  ],
17910  [
17911  [1.00000000000, -170.63159419601, 120.05087131307],
17912  [1.00000000000, -170.63159419601, 59.94912868691],
17913  [0.82152113997, 127.55772895056, 89.99997919682],
17914  [0.84374710954, 90.00003602392, 159.56352007927],
17915  [0.83171209329, -89.99999999999, 127.01992849259],
17916  [0.83171209329, -89.99999999999, 52.98007150740],
17917  [0.84374710954, 90.00001478077, 20.43647992072],
17918  [0.82152132205, 52.44222876176, 90.00002080316],
17919  [0.99999937655, -9.36838996980, 120.05083324218],
17920  [0.99999937655, -9.36838996980, 59.94916675783]
17921  ],
17922  [
17923  [5,4,0,1],
17924  [9,8,4,5],
17925  [2,3,7],
17926  [6,1,2],
17927  [0,3,2],
17928  [1,0,2],
17929  [6,5,1],
17930  [9,5,6],
17931  [0,4,3],
17932  [8,3,4],
17933  [6,7,9],
17934  [7,8,9],
17935  [3,8,7],
17936  [2,7,6]
17937  ],
17938  [
17939  [0,1],
17940  [0,2],
17941  [0,3],
17942  [0,4],
17943  [1,2],
17944  [1,5],
17945  [1,6],
17946  [2,3],
17947  [2,6],
17948  [2,7],
17949  [3,4],
17950  [3,7],
17951  [3,8],
17952  [4,5],
17953  [4,8],
17954  [5,6],
17955  [5,9],
17956  [6,7],
17957  [6,9],
17958  [7,8],
17959  [7,9],
17960  [8,9]
17961  ]
17962  ],
17963  [
17964  "johnson_sphenomegacorona",
17965  "Sphenomegacorona",
17966  "J88",
17967  "johnson",
17968  "Polyhedron Database #132",
17969  [
17970  [-0.38062673459, -0.07568233029, -0.45266707378],
17971  [-0.65067556375, 0.47356515451, -0.00000000115],
17972  [ 0.00000002502, 0.57963465654, -0.38062644927],
17973  [-0.97676588021, -0.21430915812, -0.00000007292],
17974  [ 0.38062679410, -0.07568233029, -0.45266702374],
17975  [-0.38062676435, -0.68772767221, -0.00000005004],
17976  [-0.00000002502, 0.58003807863, 0.38062644927],
17977  [-0.38062679410, -0.07568236147, 0.45266701586],
17978  [ 0.65067556375, 0.47356515451, 0.00000008439],
17979  [ 0.38062676435, -0.68772767221, 0.00000000000],
17980  [ 0.38062673459, -0.07568236147, 0.45266706590],
17981  [ 0.97676588021, -0.21430915812, 0.00000005549]
17982  ],
17983  [
17984  [0.59624827538, -168.75420429327, 139.39304068534],
17985  [0.80476247727, 143.95267199098, 90.00000008217],
17986  [0.69343552617, 89.99999752684, 123.29155031251],
17987  [1.00000000000, -167.62499970338, 90.00000417805],
17988  [0.59624827538, -11.24579399326, 139.39303329753],
17989  [0.78603185995, -118.96258267297, 90.00000364750],
17990  [0.69377277732, 90.00000247142, 56.72673733898],
17991  [0.59624827335, -168.75420149171, 40.60696763902],
17992  [0.80476247727, 36.04732800900, 89.99999399195],
17993  [0.78603185995, -61.03741732702, 89.99999999999],
17994  [0.59624827335, -11.24580022175, 40.60696025120],
17995  [1.00000000000, -12.37500029661, 89.99999682062]
17996  ],
17997  [
17998  [10,9,5,7],
17999  [10,7,6],
18000  [1,7,3],
18001  [7,5,3],
18002  [8,11,10],
18003  [11,9,10],
18004  [6,7,1],
18005  [8,10,6],
18006  [0,5,9,4],
18007  [0,4,2],
18008  [8,4,11],
18009  [4,9,11],
18010  [1,3,0],
18011  [3,5,0],
18012  [6,2,8],
18013  [2,4,8],
18014  [6,1,2],
18015  [1,0,2]
18016  ],
18017  [
18018  [0,1],
18019  [0,2],
18020  [0,3],
18021  [0,4],
18022  [0,5],
18023  [1,2],
18024  [1,3],
18025  [1,6],
18026  [1,7],
18027  [2,4],
18028  [2,6],
18029  [2,8],
18030  [3,5],
18031  [3,7],
18032  [4,8],
18033  [4,9],
18034  [4,11],
18035  [5,7],
18036  [5,9],
18037  [6,7],
18038  [6,8],
18039  [6,10],
18040  [7,10],
18041  [8,10],
18042  [8,11],
18043  [9,10],
18044  [9,11],
18045  [10,11]
18046  ]
18047  ],
18048  [
18049  "johnson_square_cupola",
18050  "Square Cupola",
18051  "J4",
18052  "johnson",
18053  "Polyhedron Database #48",
18054  [
18055  [-0.90920355930, -0.17753303803, -0.37660444522],
18056  [-0.90920355930, -0.17753303803, 0.37660444522],
18057  [-0.37660444522, 0.35506607605, -0.37660444522],
18058  [-0.37660444522, 0.35506607605, 0.37660444522],
18059  [-0.37660444522, -0.17753303803, -0.90920355930],
18060  [-0.37660444522, -0.17753303803, 0.90920355930],
18061  [ 0.37660444522, 0.35506607605, -0.37660444522],
18062  [ 0.37660444522, 0.35506607605, 0.37660444522],
18063  [ 0.37660444522, -0.17753303803, -0.90920355930],
18064  [ 0.37660444522, -0.17753303803, 0.90920355930],
18065  [ 0.90920355930, -0.17753303803, -0.37660444522],
18066  [ 0.90920355930, -0.17753303803, 0.37660444522]
18067  ],
18068  [
18069  [1.00000000000, -168.95132206550, 112.12351211134],
18070  [1.00000000000, -168.95132206551, 67.87648788864],
18071  [0.64010447170, 136.68614334171, 126.03989343030],
18072  [0.64010447170, 136.68614334171, 53.96010656970],
18073  [1.00000000000, -154.76059817930, 155.39552032235],
18074  [1.00000000000, -154.76059817931, 24.60447967764],
18075  [0.64010447170, 43.31385665828, 126.03989343029],
18076  [0.64010447170, 43.31385665828, 53.96010656970],
18077  [1.00000000000, -25.23940182068, 155.39552032235],
18078  [1.00000000000, -25.23940182066, 24.60447967763],
18079  [1.00000000000, -11.04867793448, 112.12351211135],
18080  [1.00000000000, -11.04867793448, 67.87648788864]
18081  ],
18082  [
18083  [0,1,5,9,11,10,8,4],
18084  [6,7,3,2],
18085  [1,0,2,3],
18086  [5,1,3],
18087  [9,5,3,7],
18088  [11,9,7],
18089  [10,11,7,6],
18090  [8,10,6],
18091  [4,8,6,2],
18092  [0,4,2]
18093  ],
18094  [
18095  [0,1],
18096  [0,2],
18097  [0,4],
18098  [1,3],
18099  [1,5],
18100  [2,3],
18101  [2,4],
18102  [2,6],
18103  [3,5],
18104  [3,7],
18105  [4,8],
18106  [5,9],
18107  [6,7],
18108  [6,8],
18109  [6,10],
18110  [7,9],
18111  [7,11],
18112  [8,10],
18113  [9,11],
18114  [10,11]
18115  ]
18116  ],
18117  [
18118  "johnson_square_gyrobicupola",
18119  "Square Gyrobicupola",
18120  "J29",
18121  "johnson",
18122  "Polyhedron Database #73",
18123  [
18124  [ 0.38268343237, 0.00000000000, 0.92387953251],
18125  [-0.38268343237, -0.00000000000, 0.92387953251],
18126  [ 0.92387953251, 0.00000000000, 0.38268343237],
18127  [ 0.38268343237, 0.54119610015, 0.38268343237],
18128  [ 0.00000000000, -0.54119610015, 0.54119610015],
18129  [-0.38268343237, 0.54119610015, 0.38268343237],
18130  [-0.92387953251, -0.00000000000, 0.38268343237],
18131  [ 0.54119610015, -0.54119610015, -0.00000000000],
18132  [ 0.92387953251, 0.00000000000, -0.38268343237],
18133  [ 0.38268343237, 0.54119610015, -0.38268343237],
18134  [-0.54119610015, -0.54119610015, 0.00000000000],
18135  [-0.38268343237, 0.54119610015, -0.38268343237],
18136  [ 0.00000000000, -0.54119610015, -0.54119610015],
18137  [-0.92387953251, -0.00000000000, -0.38268343237],
18138  [ 0.38268343237, 0.00000000000, -0.92387953251],
18139  [-0.38268343237, 0.00000000000, -0.92387953251]
18140  ],
18141  [
18142  [1.00000000000, 0.00000000000, 22.50000000000],
18143  [1.00000000000, -179.99999999997, 22.49999999999],
18144  [1.00000000000, 0.00000000001, 67.50000000000],
18145  [0.76536686473, 54.73561031725, 60.00000000000],
18146  [0.76536686473, -89.99999999998, 45.00000000000],
18147  [0.76536686473, 125.26438968275, 60.00000000000],
18148  [1.00000000000, -179.99999999998, 67.49999999999],
18149  [0.76536686473, -44.99999999999, 89.99999999999],
18150  [1.00000000000, 0.00000000001, 112.50000000000],
18151  [0.76536686473, 54.73561031725, 119.99999999999],
18152  [0.76536686473, -134.99999999999, 89.99999999999],
18153  [0.76536686473, 125.26438968275, 119.99999999999],
18154  [0.76536686473, -89.99999999999, 135.00000000000],
18155  [1.00000000000, -179.99999999998, 112.49999999999],
18156  [1.00000000000, 0.00000000001, 157.50000000000],
18157  [1.00000000000, 179.99999999999, 157.49999999999]
18158  ],
18159  [
18160  [12,10,4,7],
18161  [0,2,7,4],
18162  [1,0,4],
18163  [6,1,4,10],
18164  [13,6,10],
18165  [15,13,10,12],
18166  [14,15,12],
18167  [8,14,12,7],
18168  [2,8,7],
18169  [11,9,3,5],
18170  [0,1,5,3],
18171  [2,0,3],
18172  [8,2,3,9],
18173  [14,8,9],
18174  [15,14,9,11],
18175  [13,15,11],
18176  [6,13,11,5],
18177  [1,6,5]
18178  ],
18179  [
18180  [0,1],
18181  [0,2],
18182  [0,3],
18183  [0,4],
18184  [1,4],
18185  [1,5],
18186  [1,6],
18187  [2,3],
18188  [2,7],
18189  [2,8],
18190  [3,5],
18191  [3,9],
18192  [4,7],
18193  [4,10],
18194  [5,6],
18195  [5,11],
18196  [6,10],
18197  [6,13],
18198  [7,8],
18199  [7,12],
18200  [8,9],
18201  [8,14],
18202  [9,11],
18203  [9,14],
18204  [10,12],
18205  [10,13],
18206  [11,13],
18207  [11,15],
18208  [12,14],
18209  [12,15],
18210  [13,15],
18211  [14,15]
18212  ]
18213  ],
18214  [
18215  "johnson_square_orthobicupola",
18216  "square orthobicupola",
18217  "J28",
18218  "johnson",
18219  "Polyhedron Database #72",
18220  [
18221  [ 0.38268343237, 0.00000000000, -0.92387953251],
18222  [-0.38268343237, 0.00000000000, -0.92387953251],
18223  [ 0.92387953251, -0.00000000000, -0.38268343237],
18224  [ 0.38268343237, -0.54119610015, -0.38268343237],
18225  [ 0.38268343237, 0.54119610015, -0.38268343237],
18226  [-0.38268343237, -0.54119610015, -0.38268343237],
18227  [-0.38268343237, 0.54119610015, -0.38268343237],
18228  [-0.92387953251, 0.00000000000, -0.38268343237],
18229  [ 0.92387953251, 0.00000000000, 0.38268343237],
18230  [ 0.38268343237, -0.54119610015, 0.38268343237],
18231  [ 0.38268343237, 0.54119610015, 0.38268343237],
18232  [-0.38268343237, -0.54119610015, 0.38268343237],
18233  [-0.38268343237, 0.54119610015, 0.38268343237],
18234  [-0.92387953251, 0.00000000000, 0.38268343237],
18235  [ 0.38268343237, 0.00000000000, 0.92387953251],
18236  [-0.38268343237, 0.00000000000, 0.92387953251]
18237  ],
18238  [
18239  [1.00000000000, 0.00000000000, 157.49999999999],
18240  [1.00000000000, 179.99999999999, 157.49999999999],
18241  [1.00000000000, -0.00000000001, 112.49999999999],
18242  [0.76536686473, -54.73561031725, 119.99999999999],
18243  [0.76536686473, 54.73561031725, 119.99999999999],
18244  [0.76536686473, -125.26438968274, 119.99999999999],
18245  [0.76536686473, 125.26438968274, 119.99999999999],
18246  [1.00000000000, 179.99999999999, 112.49999999999],
18247  [1.00000000000, 0.00000000000, 67.50000000000],
18248  [0.76536686473, -54.73561031725, 60.00000000000],
18249  [0.76536686473, 54.73561031725, 60.00000000000],
18250  [0.76536686473, -125.26438968274, 59.99999999999],
18251  [0.76536686473, 125.26438968274, 59.99999999999],
18252  [1.00000000000, 179.99999999998, 67.50000000000],
18253  [1.00000000000, 0.00000000000, 22.50000000000],
18254  [1.00000000000, 179.99999999999, 22.50000000000]
18255  ],
18256  [
18257  [11,9,3,5],
18258  [0,1,5,3],
18259  [2,0,3],
18260  [8,2,3,9],
18261  [14,8,9],
18262  [15,14,9,11],
18263  [13,15,11],
18264  [7,13,11,5],
18265  [1,7,5],
18266  [10,12,6,4],
18267  [1,0,4,6],
18268  [7,1,6],
18269  [13,7,6,12],
18270  [15,13,12],
18271  [14,15,12,10],
18272  [8,14,10],
18273  [2,8,10,4],
18274  [0,2,4]
18275  ],
18276  [
18277  [0,1],
18278  [0,2],
18279  [0,3],
18280  [0,4],
18281  [1,5],
18282  [1,6],
18283  [1,7],
18284  [2,3],
18285  [2,4],
18286  [2,8],
18287  [3,5],
18288  [3,9],
18289  [4,6],
18290  [4,10],
18291  [5,7],
18292  [5,11],
18293  [6,7],
18294  [6,12],
18295  [7,13],
18296  [8,9],
18297  [8,10],
18298  [8,14],
18299  [9,11],
18300  [9,14],
18301  [10,12],
18302  [10,14],
18303  [11,13],
18304  [11,15],
18305  [12,13],
18306  [12,15],
18307  [13,15],
18308  [14,15]
18309  ]
18310  ],
18311  [
18312  "johnson_square_pyramid",
18313  "Square Pyramid",
18314  "J1",
18315  "johnson",
18316  "Exact Mathematics",
18317  [
18318  [ 0.00000000000, 1.00000000000, 0.00000000000],
18319  [-1.00000000000, 0.00000000000, 0.00000000000],
18320  [ 0.00000000000, 0.00000000000, -1.00000000000],
18321  [ 1.00000000000, 0.00000000000, 0.00000000000],
18322  [ 0.00000000000, 0.00000000000, 1.00000000000]
18323  ],
18324  [
18325  [1.00000000000, 89.99999999999, 89.99999999999],
18326  [1.00000000000, 179.99999999999, 89.99999999999],
18327  [1.00000000000, 0.00000000000, 179.99999999999],
18328  [1.00000000000, 0.00000000000, 89.99999999999],
18329  [1.00000000000, 0.00000000000, 0.00000000000]
18330  ],
18331  [
18332  [0,1,2],
18333  [0,2,3],
18334  [0,3,4],
18335  [0,4,1],
18336  [4,3,2,1]
18337  ],
18338  [
18339  [0,1],
18340  [0,2],
18341  [0,3],
18342  [0,4],
18343  [1,2],
18344  [1,4],
18345  [2,3],
18346  [3,4]
18347  ]
18348  ],
18349  [
18350  "johnson_triangular_cupola",
18351  "Triangular Cupola",
18352  "J3",
18353  "johnson",
18354  "Polyhedron Database #47",
18355  [
18356  [ 0.48245064068, -0.26261286572, 0.83562902180],
18357  [ 0.96490128135, -0.26261286572, 0.00000000000],
18358  [ 0.48245064068, 0.52522573144, 0.27854300727],
18359  [-0.48245064068, -0.26261286572, 0.83562902180],
18360  [-0.48245064068, 0.52522573144, 0.27854300727],
18361  [ 0.48245064068, -0.26261286572, -0.83562902180],
18362  [ 0.00000000000, 0.52522573144, -0.55708601453],
18363  [-0.96490128135, -0.26261286572, -0.00000000000],
18364  [-0.48245064068, -0.26261286572, -0.83562902180]
18365  ],
18366  [
18367  [1.00000000000, -28.56082521782, 33.31860684000],
18368  [1.00000000000, -15.22515701068, 89.99999999999],
18369  [0.76564149349, 47.43070269790, 68.66603725294],
18370  [1.00000000000, -151.43917478219, 33.31860684000],
18371  [0.76564149349, 132.56929730209, 68.66603725295],
18372  [1.00000000000, -28.56082521781, 146.68139315999],
18373  [0.76564149349, 89.99999999999, 136.68614334171],
18374  [1.00000000000, -164.77484298931, 90.00000000000],
18375  [1.00000000000, -151.43917478217, 146.68139315999]
18376  ],
18377  [
18378  [1,5,8,7,3,0],
18379  [4,6,2],
18380  [5,1,2,6],
18381  [8,5,6],
18382  [7,8,6,4],
18383  [3,7,4],
18384  [0,3,4,2],
18385  [1,0,2]
18386  ],
18387  [
18388  [0,1],
18389  [0,2],
18390  [0,3],
18391  [1,2],
18392  [1,5],
18393  [2,4],
18394  [2,6],
18395  [3,4],
18396  [3,7],
18397  [4,6],
18398  [4,7],
18399  [5,6],
18400  [5,8],
18401  [6,8],
18402  [7,8]
18403  ]
18404  ],
18405  [
18406  "johnson_triangular_dipyramid",
18407  "Triangular Dipyramid",
18408  "J12",
18409  "johnson",
18410  "Exact Mathematics",
18411  [
18412  [ 0.00000000000, 1.00000000000, 0.00000000000],
18413  [-0.61237243570, 0.00000000000, 0.35355339059],
18414  [ 0.61237243570, 0.00000000000, 0.35355339059],
18415  [ 0.00000000000, 0.00000000000, -0.70710678119],
18416  [ 0.00000000000, -1.00000000000, 0.00000000000]
18417  ],
18418  [
18419  [1.00000000000, 89.99999999999, 89.99999999999],
18420  [0.70710678119, 179.99999999999, 59.99999999999],
18421  [0.70710678119, 0.00000000000, 59.99999999999],
18422  [0.70710678119, 0.00000000000, 179.99999999999],
18423  [1.00000000000, -89.99999999999, 89.99999999999]
18424  ],
18425  [
18426  [0,2,1],
18427  [0,1,3],
18428  [0,3,2],
18429  [4,1,2],
18430  [4,3,1],
18431  [4,2,3]
18432  ],
18433  [
18434  [0,1],
18435  [0,2],
18436  [0,3],
18437  [1,2],
18438  [1,3],
18439  [1,4],
18440  [2,3],
18441  [2,4],
18442  [3,4]
18443  ]
18444  ],
18445  [
18446  "johnson_triangular_hebesphenorotunda",
18447  "Triangular Hebesphenorotunda",
18448  "J92",
18449  "johnson",
18450  "Polyhedron Database #136",
18451  [
18452  [-0.33030426902, -0.43569508663, 0.57210377877],
18453  [-0.66060857153, -0.43569508663, 0.00000000055],
18454  [ 0.33030428777, -0.43569508663, 0.57210375093],
18455  [-0.86474803514, -0.05429283479, 0.49926252367],
18456  [-0.33030431724, -0.43569508663, -0.57210380551],
18457  [ 0.66060854206, -0.43569508663, -0.00000005513],
18458  [ 0.33030423955, -0.43569508663, -0.57210383335],
18459  [-0.33030449832, 0.18142681974, 0.80782441422],
18460  [ 0.86474804776, -0.05429283479, 0.49926245077],
18461  [ 0.33030436734, 0.18142672510, 0.80782416491],
18462  [-0.86474847801, 0.18142672510, -0.11786013753],
18463  [-0.00000005682, -0.05429283479, -0.99852505632],
18464  [-0.53444426109, 0.18142681974, -0.68996432181],
18465  [ 0.86474871520, 0.18142681974, -0.11786017428],
18466  [ 0.00000000000, 0.56282961963, 0.38140339437],
18467  [ 0.53444406646, 0.18142672510, -0.68996410925],
18468  [-0.33030479992, 0.56282956114, -0.19070155631],
18469  [ 0.33030502095, 0.56282920888, -0.19070142869]
18470  ],
18471  [
18472  [0.79134938702, -127.16608531772, 43.70165880957],
18473  [0.79134941290, -146.59371423888, 89.99999995994],
18474  [0.79134937471, -52.83391311595, 43.70166079553],
18475  [0.99999997187, -176.40742461325, 60.04877813013],
18476  [0.79134942648, -127.16608934514, 136.29834100287],
18477  [0.79134938829, -33.40628693591, 90.00000399191],
18478  [0.79134941417, -52.83391714338, 136.29834485270],
18479  [0.89140172579, 151.22126582657, 25.00911035272],
18480  [0.99999994638, -3.59257533445, 60.04878210920],
18481  [0.89140143206, 28.77873114833, 25.00910778612],
18482  [0.89140148015, 168.15103816748, 97.59783386698],
18483  [1.00000000000, -90.00005996535, 176.88771941200],
18484  [0.89140177502, 161.24928487827, 140.71642098684],
18485  [0.89140173437, 11.84896468079, 97.59783407018],
18486  [0.67988655669, 89.99999999999, 55.87633708196],
18487  [0.89140147454, 18.75071237490, 140.71642301870],
18488  [0.67988635765, 120.40716806194, 106.28947196340],
18489  [0.67988613763, 59.59279954772, 106.28946617754]
18490  ],
18491  [
18492  [15,17,16,12,11],
18493  [4,11,12],
18494  [4,6,11],
18495  [15,11,6],
18496  [5,13,15,6],
18497  [17,15,13],
18498  [9,14,17,13,8],
18499  [8,13,5],
18500  [8,5,2],
18501  [9,8,2],
18502  [14,9,7],
18503  [0,7,9,2],
18504  [17,14,16],
18505  [14,7,3,10,16],
18506  [7,0,3],
18507  [0,1,3],
18508  [10,3,1],
18509  [10,1,4,12],
18510  [16,10,12],
18511  [0,2,5,6,4,1]
18512  ],
18513  [
18514  [0,1],
18515  [0,2],
18516  [0,3],
18517  [0,7],
18518  [1,3],
18519  [1,4],
18520  [1,10],
18521  [2,5],
18522  [2,8],
18523  [2,9],
18524  [3,7],
18525  [3,10],
18526  [4,6],
18527  [4,11],
18528  [4,12],
18529  [5,6],
18530  [5,8],
18531  [5,13],
18532  [6,11],
18533  [6,15],
18534  [7,9],
18535  [7,14],
18536  [8,9],
18537  [8,13],
18538  [9,14],
18539  [10,12],
18540  [10,16],
18541  [11,12],
18542  [11,15],
18543  [12,16],
18544  [13,15],
18545  [13,17],
18546  [14,16],
18547  [14,17],
18548  [15,17],
18549  [16,17]
18550  ]
18551  ],
18552  [
18553  "johnson_triangular_orthobicupola",
18554  "Triangular Orthobicupola",
18555  "J27",
18556  "johnson",
18557  "Polyhedron Database #71",
18558  [
18559  [-0.50000000000, -0.00000000000, -0.86602540378],
18560  [ 0.50000000000, 0.00000000000, -0.86602540378],
18561  [ 0.00000000000, 0.81649658093, -0.57735026919],
18562  [ 0.00000000000, -0.81649658093, -0.57735026919],
18563  [-1.00000000000, -0.00000000000, -0.00000000000],
18564  [-0.50000000000, 0.81649658093, 0.28867513459],
18565  [-0.50000000000, -0.81649658093, 0.28867513459],
18566  [ 1.00000000000, 0.00000000000, 0.00000000000],
18567  [ 0.50000000000, 0.81649658093, 0.28867513459],
18568  [ 0.50000000000, -0.81649658093, 0.28867513459],
18569  [-0.50000000000, 0.00000000000, 0.86602540378],
18570  [ 0.50000000000, 0.00000000000, 0.86602540378]
18571  ],
18572  [
18573  [1.00000000000, -179.99999999998, 150.00000000000],
18574  [1.00000000000, 0.00000000000, 149.99999999998],
18575  [1.00000000000, 89.99999999999, 125.26438968275],
18576  [1.00000000000, -89.99999999999, 125.26438968275],
18577  [1.00000000000, -179.99999999998, 89.99999999999],
18578  [1.00000000000, 121.48215410529, 73.22134511904],
18579  [1.00000000000, -121.48215410529, 73.22134511904],
18580  [1.00000000000, 0.00000000001, 89.99999999999],
18581  [1.00000000000, 58.51784589470, 73.22134511903],
18582  [1.00000000000, -58.51784589470, 73.22134511903],
18583  [1.00000000000, 179.99999999999, 30.00000000000],
18584  [1.00000000000, 0.00000000001, 29.99999999999]
18585  ],
18586  [
18587  [8,5,2],
18588  [4,0,2,5],
18589  [10,4,5],
18590  [11,10,5,8],
18591  [7,11,8],
18592  [1,7,8,2],
18593  [0,1,2],
18594  [9,3,6],
18595  [0,4,6,3],
18596  [1,0,3],
18597  [7,1,3,9],
18598  [11,7,9],
18599  [10,11,9,6],
18600  [4,10,6]
18601  ],
18602  [
18603  [0,1],
18604  [0,2],
18605  [0,3],
18606  [0,4],
18607  [1,2],
18608  [1,3],
18609  [1,7],
18610  [2,5],
18611  [2,8],
18612  [3,6],
18613  [3,9],
18614  [4,5],
18615  [4,6],
18616  [4,10],
18617  [5,8],
18618  [5,10],
18619  [6,9],
18620  [6,10],
18621  [7,8],
18622  [7,9],
18623  [7,11],
18624  [8,11],
18625  [9,11],
18626  [10,11]
18627  ]
18628  ],
18629  [
18630  "johnson_triaugmented_dodecahedron",
18631  "Triaugmented Dodecahedron",
18632  "J61",
18633  "johnson",
18634  "Polyhedron Database #105",
18635  [
18636  [ 0.30633525313, 0.66269059455, -0.43655239923],
18637  [-0.30633525313, 0.66269059455, -0.43655239923],
18638  [ 0.49566085152, 0.66269059455, 0.14613187809],
18639  [-0.49566085152, 0.66269059455, 0.14613187809],
18640  [ 0.85432441306, 0.42961688362, -0.29250492399],
18641  [ 0.00000000000, 0.66269059455, 0.50625056619],
18642  [-0.85432441306, 0.42961688362, -0.29250492399],
18643  [ 0.49566085152, 0.14152193315, -0.69713672994],
18644  [-0.49566085152, 0.14152193315, -0.69713672994],
18645  [ 0.80199610465, 0.14152193315, 0.24566623548],
18646  [ 0.00000000000, -0.18057801347, -0.85818670325],
18647  [-0.80199610465, 0.14152193315, 0.24566623548],
18648  [ 0.80199610465, -0.18057801347, -0.27550242592],
18649  [-0.00000000000, 0.14152193315, 0.82835051281],
18650  [-0.80199610465, -0.18057801347, -0.27550242592],
18651  [ 0.49566085152, -0.18057801348, 0.66730053950],
18652  [-0.49566085152, -0.18057801347, 0.66730053950],
18653  [ 0.00000000000, -0.70174667488, -0.53608675663],
18654  [ 0.49566085152, -0.70174667488, -0.17596806853],
18655  [-0.00000000000, -0.46867296395, 0.88337175236],
18656  [-0.49566085152, -0.70174667488, -0.17596806853],
18657  [ 0.30633525313, -0.70174667488, 0.40671620879],
18658  [-0.30633525313, -0.70174667488, 0.40671620879]
18659  ],
18660  [
18661  [0.85063394518, 65.19079478502, 120.87777015729],
18662  [0.85063394518, 114.80920521493, 120.87777015730],
18663  [0.84035291969, 53.20526961347, 79.98572915626],
18664  [0.84035291969, 126.79473038649, 79.98572915627],
18665  [1.00000000000, 26.69659927212, 107.00798183264],
18666  [0.83393552501, 89.99999999999, 52.62263185934],
18667  [1.00000000000, 153.30340072785, 107.00798183267],
18668  [0.86701081742, 15.93519426294, 143.52046229529],
18669  [0.86701081742, 164.06480573703, 143.52046229531],
18670  [0.85063394518, 10.00750928001, 73.21365082505],
18671  [0.87697938207, -89.99999999993, 168.11727938701],
18672  [0.85063394518, 169.99249071996, 73.21365082508],
18673  [0.86701081742, -12.68914757871, 108.52758761823],
18674  [0.84035291969, 90.00000000008, 9.69525438969],
18675  [0.86701081742, -167.31085242129, 108.52758761825],
18676  [0.85063394518, -20.01757671622, 38.32790876038],
18677  [0.85063394518, -159.98242328379, 38.32790876041],
18678  [0.88308403130, -89.99999999999, 127.37736814065],
18679  [0.87697938207, -54.76550324456, 101.57511557864],
18680  [1.00000000000, -90.00000000002, 27.94819018462],
18681  [0.87697938207, -125.23449675544, 101.57511557866],
18682  [0.86701081742, -66.41716516327, 62.02400123461],
18683  [0.86701081742, -113.58283483674, 62.02400123463]
18684  ],
18685  [
18686  [22,21,18,17,20],
18687  [12,18,21,15,9],
18688  [16,22,20,14,11],
18689  [14,20,17,10,8],
18690  [10,17,18,12,7],
18691  [7,0,1,8,10],
18692  [11,3,5,13,16],
18693  [13,5,2,9,15],
18694  [5,3,1,0,2],
18695  [1,3,6],
18696  [8,1,6],
18697  [3,11,6],
18698  [11,14,6],
18699  [8,6,14],
18700  [21,22,19],
18701  [15,21,19],
18702  [22,16,19],
18703  [16,13,19],
18704  [15,19,13],
18705  [2,0,4],
18706  [9,2,4],
18707  [0,7,4],
18708  [7,12,4],
18709  [9,4,12]
18710  ],
18711  [
18712  [0,1],
18713  [0,2],
18714  [0,4],
18715  [0,7],
18716  [1,3],
18717  [1,6],
18718  [1,8],
18719  [2,4],
18720  [2,5],
18721  [2,9],
18722  [3,5],
18723  [3,6],
18724  [3,11],
18725  [4,7],
18726  [4,9],
18727  [4,12],
18728  [5,13],
18729  [6,8],
18730  [6,11],
18731  [6,14],
18732  [7,10],
18733  [7,12],
18734  [8,10],
18735  [8,14],
18736  [9,12],
18737  [9,15],
18738  [10,17],
18739  [11,14],
18740  [11,16],
18741  [12,18],
18742  [13,15],
18743  [13,16],
18744  [13,19],
18745  [14,20],
18746  [15,19],
18747  [15,21],
18748  [16,19],
18749  [16,22],
18750  [17,18],
18751  [17,20],
18752  [18,21],
18753  [19,21],
18754  [19,22],
18755  [20,22],
18756  [21,22]
18757  ]
18758  ],
18759  [
18760  "johnson_triaugmented_hexagonal_prism",
18761  "Triaugmented Hexagonal Prism",
18762  "J57",
18763  "johnson",
18764  "Polyhedron Database #101",
18765  [
18766  [ 0.31783724520, -0.31783724520, -0.55051025722],
18767  [ 0.86602540378, 0.00000000000, -0.50000000000],
18768  [-0.31783724520, -0.31783724520, -0.55051025722],
18769  [ 0.31783724520, 0.31783724520, -0.55051025722],
18770  [ 0.63567449039, -0.31783724520, 0.00000000000],
18771  [-0.31783724520, 0.31783724520, -0.55051025722],
18772  [-0.86602540378, 0.00000000000, -0.50000000000],
18773  [ 0.63567449039, 0.31783724520, -0.00000000000],
18774  [-0.63567449039, -0.31783724520, 0.00000000000],
18775  [ 0.31783724520, -0.31783724520, 0.55051025722],
18776  [-0.63567449039, 0.31783724520, -0.00000000000],
18777  [-0.31783724520, -0.31783724520, 0.55051025722],
18778  [ 0.31783724520, 0.31783724520, 0.55051025722],
18779  [-0.31783724520, 0.31783724520, 0.55051025722],
18780  [ 0.00000000000, 0.00000000000, 1.00000000000]
18781  ],
18782  [
18783  [0.71070568604, -44.99999999998, 140.76847951640],
18784  [1.00000000000, 0.00000000001, 119.99999999999],
18785  [0.71070568604, -134.99999999998, 140.76847951640],
18786  [0.71070568604, 45.00000000000, 140.76847951640],
18787  [0.71070568604, -26.56505117707, 89.99999999999],
18788  [0.71070568604, 134.99999999999, 140.76847951640],
18789  [1.00000000000, 179.99999999999, 120.00000000000],
18790  [0.71070568604, 26.56505117708, 89.99999999999],
18791  [0.71070568604, -153.43494882291, 89.99999999999],
18792  [0.71070568604, -45.00000000000, 39.23152048359],
18793  [0.71070568604, 153.43494882292, 90.00000000000],
18794  [0.71070568604, -134.99999999999, 39.23152048359],
18795  [0.71070568604, 45.00000000001, 39.23152048359],
18796  [0.71070568604, 135.00000000001, 39.23152048359],
18797  [1.00000000000, 0.00000000000, 0.00000000000]
18798  ],
18799  [
18800  [2,8,11,9,4,0],
18801  [5,3,7,12,13,10],
18802  [12,7,4,9],
18803  [10,13,11,8],
18804  [3,5,2,0],
18805  [11,14,9],
18806  [14,12,9],
18807  [13,14,11],
18808  [12,14,13],
18809  [2,6,8],
18810  [6,10,8],
18811  [5,6,2],
18812  [10,6,5],
18813  [4,1,0],
18814  [1,3,0],
18815  [7,1,4],
18816  [3,1,7]
18817  ],
18818  [
18819  [0,1],
18820  [0,2],
18821  [0,3],
18822  [0,4],
18823  [1,3],
18824  [1,4],
18825  [1,7],
18826  [2,5],
18827  [2,6],
18828  [2,8],
18829  [3,5],
18830  [3,7],
18831  [4,7],
18832  [4,9],
18833  [5,6],
18834  [5,10],
18835  [6,8],
18836  [6,10],
18837  [7,12],
18838  [8,10],
18839  [8,11],
18840  [9,11],
18841  [9,12],
18842  [9,14],
18843  [10,13],
18844  [11,13],
18845  [11,14],
18846  [12,13],
18847  [12,14],
18848  [13,14]
18849  ]
18850  ],
18851  [
18852  "johnson_triaugmented_triangular_prism",
18853  "Triaugmented Triangular Prism",
18854  "J51",
18855  "johnson",
18856  "Polyhedron Database #95",
18857  [
18858  [-0.00000000000, -0.50211797591, -0.57979589711],
18859  [-0.86602540378, 0.00000000000, -0.50000000000],
18860  [-0.50211797591, -0.50211797591, 0.28989794856],
18861  [ 0.50211797591, -0.50211797591, 0.28989794856],
18862  [ 0.86602540378, 0.00000000000, -0.50000000000],
18863  [-0.00000000000, 0.50211797591, -0.57979589711],
18864  [-0.50211797591, 0.50211797591, 0.28989794856],
18865  [-0.00000000000, 0.00000000000, 1.00000000000],
18866  [ 0.50211797591, 0.50211797591, 0.28989794856]
18867  ],
18868  [
18869  [0.76699787747, -89.99999999999, 139.10660535086],
18870  [1.00000000000, 179.99999999999, 119.99999999999],
18871  [0.76699787747, -134.99999999999, 67.79234570140],
18872  [0.76699787747, -45.00000000000, 67.79234570139],
18873  [1.00000000000, 0.00000000000, 119.99999999999],
18874  [0.76699787747, 89.99999999999, 139.10660535086],
18875  [0.76699787747, 134.99999999999, 67.79234570140],
18876  [1.00000000000, 89.99999999999, 0.00000000001],
18877  [0.76699787747, 45.00000000000, 67.79234570140]
18878  ],
18879  [
18880  [0,5,1],
18881  [5,4,8],
18882  [5,0,4],
18883  [0,3,4],
18884  [4,3,8],
18885  [8,6,5],
18886  [7,6,8],
18887  [3,7,8],
18888  [2,7,3],
18889  [2,6,7],
18890  [0,2,3],
18891  [1,2,0],
18892  [1,6,2],
18893  [5,6,1]
18894  ],
18895  [
18896  [0,1],
18897  [0,2],
18898  [0,3],
18899  [0,4],
18900  [0,5],
18901  [1,2],
18902  [1,5],
18903  [1,6],
18904  [2,3],
18905  [2,6],
18906  [2,7],
18907  [3,4],
18908  [3,7],
18909  [3,8],
18910  [4,5],
18911  [4,8],
18912  [5,6],
18913  [5,8],
18914  [6,7],
18915  [6,8],
18916  [7,8]
18917  ]
18918  ],
18919  [
18920  "johnson_triaugmented_truncated_dodecahedron",
18921  "Triaugmented Truncated Dodecahedron",
18922  "J71",
18923  "johnson",
18924  "Polyhedron Database #115",
18925  [
18926  [-0.13358612244, 0.73757049153, 0.55581336427],
18927  [-0.38221514374, 0.73757049153, 0.37517380660],
18928  [ 0.17373624906, 0.73757049153, 0.55581336427],
18929  [-0.38221514374, 0.57600155938, 0.63659783035],
18930  [-0.47718297929, 0.73757049153, 0.08289286258],
18931  [-0.65709262922, 0.62065811392, 0.30291798353],
18932  [ 0.42236527036, 0.73757049153, 0.37517380660],
18933  [-0.65709262922, 0.45908918177, 0.56434200728],
18934  [ 0.42236527036, 0.57600155938, 0.63659783035],
18935  [-0.38221514374, 0.73757049153, -0.20938808145],
18936  [-0.47718297929, 0.31457753563, 0.76730984222],
18937  [ 0.51733310591, 0.73757049153, 0.08289286258],
18938  [-0.63084416504, 0.57600155938, -0.12860361537],
18939  [-0.81075381497, 0.45908918177, 0.09142150559],
18940  [-0.13358612244, 0.73757049153, -0.39002763912],
18941  [ 0.42236527036, 0.73757049153, -0.20938808145],
18942  [ 0.17373624906, 0.73757049153, -0.39002763912],
18943  [ 0.51733310591, 0.31457753563, 0.76730984222],
18944  [-0.81075381497, 0.19766515802, 0.51441446148],
18945  [-0.38221514374, 0.05315351188, 0.89802185410],
18946  [-0.63084416504, 0.05315351188, 0.71738229643],
18947  [-0.90572165052, 0.19766515802, 0.22213351746],
18948  [ 0.67099429167, 0.57600155938, -0.12860361537],
18949  [-0.78450535080, 0.31457753563, -0.17853116117],
18950  [ 0.43858771338, 0.62065811392, -0.49314038246],
18951  [ 0.42236527036, 0.05315351188, 0.89802185410],
18952  [ 0.02007506331, 0.57600155938, -0.60152411707],
18953  [-0.13358612244, -0.10841542027, 0.97880632017],
18954  [ 0.17373624906, -0.10841542027, 0.97880632017],
18955  [ 0.67099429166, 0.05315351188, 0.71738229643],
18956  [-0.78450535080, -0.10841542027, 0.50588581848],
18957  [ 0.68721673468, 0.45908918177, -0.41235591639],
18958  [-0.87947318634, 0.05315351188, -0.04781914930],
18959  [ 0.28492652763, 0.45908918177, -0.70463686041],
18960  [ 0.82465547742, 0.31457753563, -0.17853116117],
18961  [-0.87947318634, -0.10841542027, 0.21360487445],
18962  [-0.78450535080, 0.05315351188, -0.34010009332],
18963  [ 0.02007506331, -0.36983944401, 0.92887877437],
18964  [ 0.02007506331, 0.31457753563, -0.76309304922],
18965  [ 0.82465547742, -0.10841542027, 0.50588581848],
18966  [ 0.91962331297, 0.05315351188, -0.04781914930],
18967  [-0.78450535080, -0.36983944401, 0.34431688633],
18968  [ 0.68721673468, 0.19766515802, -0.57392484854],
18969  [ 0.91962331297, -0.10841542027, 0.21360487445],
18970  [ 0.43858771338, 0.19766515802, -0.75456440621],
18971  [ 0.82465547742, 0.05315351188, -0.34010009332],
18972  [-0.63084416504, -0.10841542027, -0.55159657127],
18973  [-0.13358612244, 0.05315351188, -0.81302059502],
18974  [ 0.17373624906, 0.05315351188, -0.81302059502],
18975  [ 0.02007506331, -0.63126346776, 0.76730984222],
18976  [-0.38221514374, -0.10841542027, -0.73223612894],
18977  [ 0.82465547742, -0.36983944402, 0.34431688633],
18978  [-0.63084416504, -0.63126346776, 0.29438934053],
18979  [ 0.67099429166, -0.10841542027, -0.55159657127],
18980  [ 0.42236527036, -0.10841542027, -0.73223612894],
18981  [-0.47718297929, -0.36983944402, -0.60152411707],
18982  [-0.13358612244, -0.79283239991, 0.55581336427],
18983  [-0.13358612244, -0.25292706641, -0.84061986354],
18984  [-0.38221514374, -0.79283239991, 0.37517380660],
18985  [ 0.17373624906, -0.79283239991, 0.55581336427],
18986  [ 0.67099429166, -0.63126346776, 0.29438934053],
18987  [ 0.17373624906, -0.25292706641, -0.84061986354],
18988  [-0.47718297929, -0.79283239991, 0.08289286258],
18989  [ 0.51733310591, -0.36983944402, -0.60152411707],
18990  [ 0.42236527036, -0.79283239991, 0.37517380660],
18991  [-0.38221514374, -0.63126346776, -0.47081210519],
18992  [-0.22855395799, -0.51435109015, -0.70990785167],
18993  [-0.38221514374, -0.79283239991, -0.20938808145],
18994  [ 0.51733310591, -0.79283239991, 0.08289286258],
18995  [ 0.26870408461, -0.51435109015, -0.70990785167],
18996  [ 0.42236527036, -0.63126346776, -0.47081210519],
18997  [-0.13358612244, -0.79283239991, -0.39002763912],
18998  [ 0.02007506331, -0.67592002230, -0.62912338559],
18999  [ 0.42236527036, -0.79283239991, -0.20938808145],
19000  [ 0.17373624906, -0.79283239991, -0.39002763912]
19001  ],
19002  [
19003  [0.93315806699, 100.26591999526, 53.44271686870],
19004  [0.91151194794, 117.39356524507, 65.69492714139],
19005  [0.93974624773, 76.74547714575, 53.73999401968],
19006  [0.93974624773, 123.56690587301, 47.35806022131],
19007  [0.88237466666, 122.90149113237, 84.60951786527],
19008  [0.95328197429, 136.63332204021, 71.47229013724],
19009  [0.92906298858, 60.20265185338, 66.18282421765],
19010  [0.98031398102, 145.05925607965, 54.85310084944],
19011  [0.95677950209, 53.74848279768, 48.29044987420],
19012  [0.85670415823, 117.39356524508, 104.14703947529],
19013  [0.95677950209, 146.60557938109, 36.68122373737],
19014  [0.90471818768, 54.95411967985, 84.74302441497],
19015  [0.86387559687, 137.60189805267, 98.56134348358],
19016  [0.93618508693, 150.47930042902, 84.39595054595],
19017  [0.84497162163, 100.26591999527, 117.48954005520],
19018  [0.87535479677, 60.20265185337, 103.83954520072],
19019  [0.85224179285, 76.74547714576, 117.23550814860],
19020  [0.97742363506, 31.30275538742, 38.27626634734],
19021  [0.98031398102, 166.29835357382, 58.34894899358],
19022  [0.97742363506, 172.08282587792, 23.25391864193],
19023  [0.95677950209, 175.18376227673, 41.42793697069],
19024  [0.95328197429, 167.68877404761, 76.52507810026],
19025  [0.89361626313, 40.64377762237, 98.27437854500],
19026  [0.86387559687, 158.14978781856, 101.92686945872],
19027  [0.90595977478, 54.75308293796, 122.97883715629],
19028  [0.99381133414, 7.17280892411, 25.36274309990],
19029  [0.83307386706, 88.00390988248, 136.22430391808],
19030  [0.99381133414, -140.93801143510, 9.96900490522],
19031  [1.00000000000, -31.96511287302, 11.81709800849],
19032  [0.98371540320, 4.52928663735, 43.17577705026],
19033  [0.93974624773, -172.13179507886, 57.43053587686],
19034  [0.92361632674, 33.74456077535, 116.51666025224],
19035  [0.88237466666, 176.54137051042, 93.10659229419],
19036  [0.88795219917, 58.17483991121, 142.51876696528],
19037  [0.90049378558, 20.88012257295, 101.43517915512],
19038  [0.91151194794, -172.97242393673, 76.44720346378],
19039  [0.85670415823, 176.12389580445, 113.38993257320],
19040  [1.00000000000, -86.89300652506, 21.73929442905],
19041  [0.82563492892, 86.34856699522, 157.55552562237],
19042  [0.97351477704, -7.48958255130, 58.69130109561],
19043  [0.92239850640, 3.30797104550, 92.97167023915],
19044  [0.93315806699, -154.75939859936, 68.34726029127],
19045  [0.91691225692, 16.04690052907, 128.75063659092],
19046  [0.95030941461, -6.72362906131, 77.01040947499],
19047  [0.89487325367, 24.26040291923, 147.48045746853],
19048  [0.89361626313, 3.68792179349, 112.37014185968],
19049  [0.84497162163, -170.24853845378, 130.75296319276],
19050  [0.82563492892, 158.30254110590, 169.97163206061],
19051  [0.83307386706, 17.01116140240, 167.40310406711],
19052  [0.99381133414, -88.17852775294, 39.45823518451],
19053  [0.83307386706, -164.16399893398, 151.51680495365],
19054  [0.96715665173, -24.15516210418, 69.14467742953],
19055  [0.93974624773, -134.98096495533, 71.74391203281],
19056  [0.87535479677, -9.17820344397, 129.06049435439],
19057  [0.85224179285, -14.39623935176, 149.22556072303],
19058  [0.85224179285, -142.22261776373, 134.89533663907],
19059  [0.97742363506, -99.56406375049, 55.34375951799],
19060  [0.88795219917, -117.84125112955, 161.20812506915],
19061  [0.95677950209, -115.73816730314, 66.91343056090],
19062  [0.98371540320, -77.63993728377, 55.59670900788],
19063  [0.96715665173, -43.25249448328, 72.27874735751],
19064  [0.89487325367, -55.51472779918, 159.94654207222],
19065  [0.92906298858, -121.04252325117, 84.88114880242],
19066  [0.87535479677, -35.56083036377, 133.40709638664],
19067  [0.97351477704, -61.95445176581, 67.33262336188],
19068  [0.87535479677, -121.19391662121, 122.53759488008],
19069  [0.90595977478, -113.95816093305, 141.59115335929],
19070  [0.90471818768, -115.73816730314, 103.38187217142],
19071  [0.95030941461, -56.87504678536, 84.99588813908],
19072  [0.91691225692, -62.41681417892, 140.73595257108],
19073  [0.89361626313, -56.21434180680, 121.79365083026],
19074  [0.89361626313, -99.56406375048, 115.87822418572],
19075  [0.92361632674, -88.29879521851, 132.93375360942],
19076  [0.92239850640, -61.95445176582, 103.12074420241],
19077  [0.90049378558, -77.63993728379, 115.66613412701]
19078  ],
19079  [
19080  [73,74,71,67,62,58,56,59,64,68],
19081  [74,73,70],
19082  [45,53,63,70,73,68,60,51,43,40],
19083  [63,53,54],
19084  [68,64,60],
19085  [29,39,51,60,64,59,49,37,28,25],
19086  [51,39,43],
19087  [59,56,49],
19088  [19,27,37,49,56,58,52,41,30,20],
19089  [37,27,28],
19090  [58,62,52],
19091  [32,35,41,52,62,67,65,55,46,36],
19092  [41,35,30],
19093  [67,71,65],
19094  [46,55,50],
19095  [0,1,4,9,14,16,15,11,6,2],
19096  [1,0,3],
19097  [27,19,10,3,0,2,8,17,25,28],
19098  [10,19,20],
19099  [2,6,8],
19100  [39,29,17,8,6,11,22,34,40,43],
19101  [17,29,25],
19102  [11,15,22],
19103  [40,34,45],
19104  [16,14,26],
19105  [50,47,38,26,14,9,12,23,36,46],
19106  [38,47,48],
19107  [9,4,12],
19108  [36,23,32],
19109  [7,18,21,13,5],
19110  [12,4,5,13],
19111  [23,12,13],
19112  [32,23,13,21],
19113  [35,32,21],
19114  [30,35,21,18],
19115  [20,30,18],
19116  [10,20,18,7],
19117  [10,7,3],
19118  [1,3,7,5],
19119  [4,1,5],
19120  [33,44,42,31,24],
19121  [22,15,24,31],
19122  [34,22,31],
19123  [45,34,31,42],
19124  [53,45,42],
19125  [54,53,42,44],
19126  [48,54,44],
19127  [38,48,44,33],
19128  [38,33,26],
19129  [16,26,33,24],
19130  [15,16,24],
19131  [69,61,57,66,72],
19132  [65,71,72,66],
19133  [55,65,66],
19134  [50,55,66,57],
19135  [47,50,57],
19136  [48,47,57,61],
19137  [54,48,61],
19138  [63,54,61,69],
19139  [63,69,70],
19140  [74,70,69,72],
19141  [71,74,72]
19142  ],
19143  [
19144  [0,1],
19145  [0,2],
19146  [0,3],
19147  [1,3],
19148  [1,4],
19149  [1,5],
19150  [2,6],
19151  [2,8],
19152  [3,7],
19153  [3,10],
19154  [4,5],
19155  [4,9],
19156  [4,12],
19157  [5,7],
19158  [5,13],
19159  [6,8],
19160  [6,11],
19161  [7,10],
19162  [7,18],
19163  [8,17],
19164  [9,12],
19165  [9,14],
19166  [10,19],
19167  [10,20],
19168  [11,15],
19169  [11,22],
19170  [12,13],
19171  [12,23],
19172  [13,21],
19173  [13,23],
19174  [14,16],
19175  [14,26],
19176  [15,16],
19177  [15,22],
19178  [15,24],
19179  [16,24],
19180  [16,26],
19181  [17,25],
19182  [17,29],
19183  [18,20],
19184  [18,21],
19185  [18,30],
19186  [19,20],
19187  [19,27],
19188  [20,30],
19189  [21,32],
19190  [21,35],
19191  [22,31],
19192  [22,34],
19193  [23,32],
19194  [23,36],
19195  [24,31],
19196  [24,33],
19197  [25,28],
19198  [25,29],
19199  [26,33],
19200  [26,38],
19201  [27,28],
19202  [27,37],
19203  [28,37],
19204  [29,39],
19205  [30,35],
19206  [30,41],
19207  [31,34],
19208  [31,42],
19209  [32,35],
19210  [32,36],
19211  [33,38],
19212  [33,44],
19213  [34,40],
19214  [34,45],
19215  [35,41],
19216  [36,46],
19217  [37,49],
19218  [38,47],
19219  [38,48],
19220  [39,43],
19221  [39,51],
19222  [40,43],
19223  [40,45],
19224  [41,52],
19225  [42,44],
19226  [42,45],
19227  [42,53],
19228  [43,51],
19229  [44,48],
19230  [44,54],
19231  [45,53],
19232  [46,50],
19233  [46,55],
19234  [47,48],
19235  [47,50],
19236  [47,57],
19237  [48,54],
19238  [48,61],
19239  [49,56],
19240  [49,59],
19241  [50,55],
19242  [50,57],
19243  [51,60],
19244  [52,58],
19245  [52,62],
19246  [53,54],
19247  [53,63],
19248  [54,61],
19249  [54,63],
19250  [55,65],
19251  [55,66],
19252  [56,58],
19253  [56,59],
19254  [57,61],
19255  [57,66],
19256  [58,62],
19257  [59,64],
19258  [60,64],
19259  [60,68],
19260  [61,69],
19261  [62,67],
19262  [63,69],
19263  [63,70],
19264  [64,68],
19265  [65,66],
19266  [65,67],
19267  [65,71],
19268  [66,72],
19269  [67,71],
19270  [68,73],
19271  [69,70],
19272  [69,72],
19273  [70,73],
19274  [70,74],
19275  [71,72],
19276  [71,74],
19277  [72,74],
19278  [73,74]
19279  ]
19280  ],
19281  [
19282  "johnson_tridiminished_icosahedron",
19283  "Tridiminished Icosahedron",
19284  "J63",
19285  "johnson",
19286  "Polyhedron Database #107",
19287  [
19288  [ 0.77548248538, 0.41459730052, 0.21583002982],
19289  [-0.03437071055, 0.94087180934, -0.04730722459],
19290  [ 0.77548248538, -0.43693274218, -0.31044447901],
19291  [-0.53488751153, 0.41459730052, -0.73620950036],
19292  [-0.03437071055, 0.41459730052, 0.80422281810],
19293  [-0.03437071055, -0.43693274218, -0.89883726729],
19294  [ 0.46614609043, -0.43693274218, 0.64159505117],
19295  [-0.84422390648, -0.43693274218, -0.31044447901],
19296  [-0.53488751153, -0.43693274218, 0.64159505117]
19297  ],
19298  [
19299  [0.90545381356, 28.13035994191, 76.20983879655],
19300  [0.94268715959, 92.09212491089, 92.87650388507],
19301  [0.94268715959, -29.39836349886, 109.22742659258],
19302  [1.00000000000, 142.22033543401, 137.40951634570],
19303  [0.90545381356, 94.73906544008, 27.35224942956],
19304  [1.00000000000, -94.49783112827, 154.00564962065],
19305  [0.90545381356, -43.14720705893, 44.87973249265],
19306  [1.00000000000, -152.63592616876, 108.08601889323],
19307  [0.94268715959, -140.75569730421, 47.10927298373]
19308  ],
19309  [
19310  [2,5,7,8,6],
19311  [1,3,5,2,0],
19312  [6,4,0],
19313  [6,8,4],
19314  [0,2,6],
19315  [4,1,0],
19316  [3,1,4,8,7],
19317  [3,7,5]
19318  ],
19319  [
19320  [0,1],
19321  [0,2],
19322  [0,4],
19323  [0,6],
19324  [1,3],
19325  [1,4],
19326  [2,5],
19327  [2,6],
19328  [3,5],
19329  [3,7],
19330  [4,6],
19331  [4,8],
19332  [5,7],
19333  [6,8],
19334  [7,8]
19335  ]
19336  ],
19337  [
19338  "johnson_tridiminished_rhombicosidodecahedron",
19339  "Tridiminished Rhombicosidodecahedron",
19340  "J83",
19341  "johnson",
19342  "Polyhedron Database #127",
19343  [
19344  [ 0.68621932859, -0.30213756917, 0.52995307974],
19345  [ 0.55516309869, -0.66290441995, 0.34956965436],
19346  [ 0.89827276299, -0.07917139338, 0.23808656646],
19347  [ 0.68621932859, -0.66290441995, -0.05377994682],
19348  [ 0.89827276299, -0.30213756917, -0.12268028431],
19349  [ 0.34310966429, -0.30213756917, 0.77923684262],
19350  [ 0.55516309869, 0.05862928160, 0.71033650513],
19351  [ 0.21205343440, -0.66290441995, 0.59885341723],
19352  [ 0.76721653310, 0.28159545740, 0.41846999185],
19353  [ 0.55516309869, -0.66290441995, -0.45712954800],
19354  [ 0.76721653310, -0.30213756917, -0.52602988550],
19355  [-0.00000000000, -0.07917139338, 0.89071993052],
19356  [ 0.21205343440, 0.28159545740, 0.82181959303],
19357  [-0.21205343440, -0.66290441995, 0.59885341723],
19358  [ 0.55516309869, 0.64236230817, 0.34956965436],
19359  [ 0.21205343440, -0.66290441995, -0.70641331088],
19360  [ 0.55516309869, -0.07917139338, -0.81789639878],
19361  [-0.34310966429, -0.30213756917, 0.77923684262],
19362  [ 0.21205343440, 0.64236230817, 0.59885341723],
19363  [ 0.21205343440, -0.30213756917, -0.92937948668],
19364  [-0.21205343440, 0.28159545740, 0.82181959303],
19365  [-0.55516309869, -0.66290441995, 0.34956965436],
19366  [ 0.34310966429, 0.86532848397, 0.05770314107],
19367  [-0.21205343440, -0.66290441995, -0.70641331088],
19368  [ 0.34310966429, 0.28159545740, -0.88679673627],
19369  [-0.55516309869, 0.05862928160, 0.71033650513],
19370  [-0.21205343440, 0.64236230817, 0.59885341723],
19371  [-0.68621932859, -0.30213756917, 0.52995307974],
19372  [-0.00000000000, 0.86532848397, 0.30698690395],
19373  [-0.68621932859, -0.66290441995, -0.05377994682],
19374  [ 0.21205343440, 0.86532848397, -0.34564646011],
19375  [-0.55516309869, -0.66290441995, -0.45712954800],
19376  [ 0.21205343440, 0.64236230817, -0.70641331088],
19377  [-0.21205343440, -0.30213756917, -0.92937948668],
19378  [ 0.00000000000, 0.05862928160, -0.99827982417],
19379  [-0.76721653310, 0.28159545740, 0.41846999185],
19380  [-0.55516309869, 0.64236230817, 0.34956965436],
19381  [-0.89827276299, -0.07917139338, 0.23808656646],
19382  [-0.34310966429, 0.86532848397, 0.05770314107],
19383  [-0.89827276299, -0.30213756917, -0.12268028432],
19384  [-0.21205343440, 0.86532848397, -0.34564646011],
19385  [-0.76721653310, -0.30213756917, -0.52602988550],
19386  [-0.21205343440, 0.64236230817, -0.70641331088],
19387  [-0.55516309869, -0.07917139338, -0.81789639878],
19388  [-0.34310966429, 0.28159545740, -0.88679673627]
19389  ],
19390  [
19391  [0.91816901732, -23.76355786798, 54.74723014455],
19392  [0.93265603487, -50.05480919707, 67.98737377951],
19393  [0.93265603487, -5.03688337902, 75.20994147564],
19394  [0.95563147687, -44.00994041043, 93.22613147770],
19395  [0.95563147687, -18.59056783835, 97.37576596937],
19396  [0.90344972707, -41.36669401386, 30.40011234322],
19397  [0.90344972707, 6.02850764266, 38.16365027191],
19398  [0.91816901732, -72.26128562929, 49.29037998848],
19399  [0.91816901732, 20.15491313126, 62.88578516628],
19400  [0.97806735954, -50.05480919706, 117.86438882336],
19401  [0.97806735954, -21.49501797452, 122.53575569254],
19402  [0.89423157188, -90.00000000014, 5.07937098470],
19403  [0.89423157188, 53.01868752786, 23.21629911897],
19404  [0.91816901732, -107.73871437072, 49.29037998849],
19405  [0.91816901732, 49.16470870445, 67.62141846378],
19406  [0.99167973400, -72.26128562926, 135.42563842532],
19407  [0.99167973400, -8.11618274595, 145.56402569603],
19408  [0.90344972707, -138.63330598616, 30.40011234323],
19409  [0.90344972707, 71.73116823996, 48.48225654390],
19410  [1.00000000000, -54.93713360264, 158.33829401187],
19411  [0.89423157188, 126.98131247218, 23.21629911899],
19412  [0.93265603487, -129.94519080293, 67.98737377953],
19413  [0.93265603487, 68.37127811185, 86.45286235273],
19414  [0.99167973400, -107.73871437069, 135.42563842533],
19415  [0.99167973400, 39.37626054546, 153.41059578042],
19416  [0.90344972707, 173.97149235734, 38.16365027194],
19417  [0.90344972707, 108.26883176006, 48.48225654390],
19418  [0.91816901732, -156.23644213202, 54.74723014458],
19419  [0.91816901732, 90.00000000000, 70.46717584405],
19420  [0.95563147687, -135.99005958956, 93.22613147772],
19421  [0.95563147687, 76.23070386936, 111.20428543091],
19422  [0.97806735954, -129.94519080291, 117.86438882338],
19423  [0.97806735954, 71.73116823993, 136.24091079743],
19424  [1.00000000000, -125.06286639728, 158.33829401189],
19425  [1.00000000000, 89.99999999970, 176.63886213771],
19426  [0.91816901732, 159.84508686874, 62.88578516630],
19427  [0.91816901732, 130.83529129556, 67.62141846380],
19428  [0.93265603487, -174.96311662096, 75.20994147568],
19429  [0.93265603487, 111.62872188814, 86.45286235274],
19430  [0.95563147687, -161.40943216163, 97.37576596942],
19431  [0.95563147687, 103.76929613061, 111.20428543092],
19432  [0.97806735954, -158.50498202545, 122.53575569257],
19433  [0.97806735954, 108.26883176003, 136.24091079744],
19434  [0.99167973400, -171.88381725403, 145.56402569606],
19435  [0.99167973400, 140.62373945450, 153.41059578044]
19436  ],
19437  [
19438  [25,27,37,35],
19439  [17,27,25],
19440  [17,13,21,27],
19441  [27,21,29,39,37],
19442  [3,9,15,23,31,29,21,13,7,1],
19443  [20,11,17,25],
19444  [12,11,20],
19445  [12,6,5,11],
19446  [11,5,7,13,17],
19447  [6,0,5],
19448  [8,2,0,6],
19449  [5,0,1,7],
19450  [0,2,4,3,1],
19451  [4,10,9,3],
19452  [26,18,12,20],
19453  [28,18,26],
19454  [28,22,14,18],
19455  [18,14,8,6,12],
19456  [24,16,10,4,2,8,14,22,30,32],
19457  [36,38,28,26],
19458  [35,37,39,41,43,44,42,40,38,36],
19459  [38,40,30,22,28],
19460  [40,42,32,30],
19461  [42,44,34,24,32],
19462  [34,19,16,24],
19463  [29,31,41,39],
19464  [43,33,34,44],
19465  [41,31,23,33,43],
19466  [33,19,34],
19467  [23,15,19,33],
19468  [36,26,20,25,35],
19469  [15,9,10,16,19]
19470  ],
19471  [
19472  [0,1],
19473  [0,2],
19474  [0,5],
19475  [0,6],
19476  [1,3],
19477  [1,7],
19478  [2,4],
19479  [2,8],
19480  [3,4],
19481  [3,9],
19482  [4,10],
19483  [5,6],
19484  [5,7],
19485  [5,11],
19486  [6,8],
19487  [6,12],
19488  [7,13],
19489  [8,14],
19490  [9,10],
19491  [9,15],
19492  [10,16],
19493  [11,12],
19494  [11,17],
19495  [11,20],
19496  [12,18],
19497  [12,20],
19498  [13,17],
19499  [13,21],
19500  [14,18],
19501  [14,22],
19502  [15,19],
19503  [15,23],
19504  [16,19],
19505  [16,24],
19506  [17,25],
19507  [17,27],
19508  [18,26],
19509  [18,28],
19510  [19,33],
19511  [19,34],
19512  [20,25],
19513  [20,26],
19514  [21,27],
19515  [21,29],
19516  [22,28],
19517  [22,30],
19518  [23,31],
19519  [23,33],
19520  [24,32],
19521  [24,34],
19522  [25,27],
19523  [25,35],
19524  [26,28],
19525  [26,36],
19526  [27,37],
19527  [28,38],
19528  [29,31],
19529  [29,39],
19530  [30,32],
19531  [30,40],
19532  [31,41],
19533  [32,42],
19534  [33,34],
19535  [33,43],
19536  [34,44],
19537  [35,36],
19538  [35,37],
19539  [36,38],
19540  [37,39],
19541  [38,40],
19542  [39,41],
19543  [40,42],
19544  [41,43],
19545  [42,44],
19546  [43,44]
19547  ]
19548  ],
19549  [
19550  "johnson_trigyrate_rhombicosidodecahedron",
19551  "Trigyrate Rhombicosidodecahedron",
19552  "J75",
19553  "johnson",
19554  "Polyhedron Database #119",
19555  [
19556  [ 0.81014642261, -0.30819801214, -0.49867486605],
19557  [ 0.58622745890, -0.68915170731, -0.42591918399],
19558  [ 0.94853595364, -0.30819801214, -0.07275568693],
19559  [ 0.72461703139, -0.68915172911, 0.00000000860],
19560  [ 0.84839634805, 0.13783034304, -0.51110302027],
19561  [ 0.58622745831, -0.07275568039, -0.80687287916],
19562  [ 0.98678587908, 0.13783034304, -0.08518384115],
19563  [ 0.36230849555, -0.92459403906, -0.11772117019],
19564  [ 0.22391896430, -0.68915170731, -0.68915171272],
19565  [ 0.94853595423, -0.07275568039, 0.30819800824],
19566  [ 0.22391896394, -0.30819801214, -0.92459404447],
19567  [ 0.58622752731, -0.68915174258, 0.42591919647],
19568  [ 0.00000000095, -0.92459403906, -0.38095369892],
19569  [ 0.72461703235, -0.30819803394, 0.61639603551],
19570  [ 0.22391896585, -0.92459403906, 0.30819800936],
19571  [ 0.62447738411, 0.51878403820, -0.58385870162],
19572  [ 0.36230849437, 0.30819801477, -0.87962856052],
19573  [ 0.84839634900, 0.51878403820, 0.10529300665],
19574  [-0.22391896335, -0.68915170731, -0.68915171203],
19575  [ 0.00000000000, 0.07275568302, -0.99734972583],
19576  [ 0.81014642416, 0.30819801477, 0.49867485603],
19577  [-0.22391896371, -0.30819801214, -0.92459404378],
19578  [ 0.36230849694, -0.51878403557, 0.77433554017],
19579  [ 0.62447738470, 0.75422636995, -0.20290500646],
19580  [-0.36230849283, -0.92459403906, -0.11772116907],
19581  [ 0.58622746081, 0.07275568302, 0.80687286984],
19582  [-0.22391896180, -0.92459403906, 0.30819801005],
19583  [ 0.22391896430, 0.68915170994, -0.68915171272],
19584  [ 0.00000000256, -0.75422636732, 0.65661437486],
19585  [ 0.58622746022, 0.68915170994, 0.42591917467],
19586  [-0.58622745713, -0.68915170731, -0.42591918218],
19587  [ 0.22391896686, -0.13783034041, 0.96481238797],
19588  [-0.36230849401, 0.30819801477, -0.87962855939],
19589  [ 0.22391896489, 0.92459404169, -0.30819801756],
19590  [-0.58622745772, -0.07275568039, -0.80687287734],
19591  [ 0.36230849592, 0.92459404169, 0.11772116156],
19592  [-0.22391896335, 0.68915170994, -0.68915171203],
19593  [-0.72461702830, -0.68915172911, 0.00000001084],
19594  [ 0.22391896680, 0.30819801477, 0.92459403627],
19595  [-0.58622752290, -0.68915174258, 0.42591919829],
19596  [-0.81014642107, -0.30819801214, -0.49867486354],
19597  [-0.36230849145, -0.51878403557, 0.77433554130],
19598  [ 0.22391896644, 0.68915170994, 0.68915170452],
19599  [-0.22391896078, -0.13783034041, 0.96481238866],
19600  [-0.22391896276, 0.92459404169, -0.30819801686],
19601  [-0.62447738283, 0.51878403820, -0.58385869969],
19602  [-0.84839634654, 0.13783034304, -0.51110301764],
19603  [ 0.00000000214, 0.92459404169, 0.38095369141],
19604  [-0.94853595077, -0.30819801214, -0.07275568399],
19605  [-0.22391896085, 0.30819801477, 0.92459403697],
19606  [-0.72461702735, -0.30819803394, 0.61639603776],
19607  [-0.22391898684, 0.68915173173, 0.68915174049],
19608  [-0.36230849246, 0.92459404169, 0.11772116269],
19609  [-0.62447738224, 0.75422636995, -0.20290500453],
19610  [-0.58622745522, 0.07275568302, 0.80687287165],
19611  [-0.98678587625, 0.13783034304, -0.08518383809],
19612  [-0.94853595018, -0.07275568039, 0.30819801118],
19613  [-0.58622749727, 0.68915174521, 0.42591923356],
19614  [-0.84839634559, 0.51878403820, 0.10529300928],
19615  [-0.81014644515, 0.30819803657, 0.49867489381]
19616  ],
19617  [
19618  [0.99999993139, -20.82794625364, 119.91237076139],
19619  [0.99999993027, -49.61382234416, 115.20886052090],
19620  [0.99999993001, -17.99999990276, 94.17228054250],
19621  [0.99999997396, -43.56299975178, 89.99999950735],
19622  [0.99999993208, 9.22764496004, 120.73733164675],
19623  [0.99999993251, -7.07470496475, 143.79152409877],
19624  [0.99999993070, 7.95140480699, 94.88659687324],
19625  [0.99999992846, -68.60193099443, 96.76060349837],
19626  [0.99999993070, -71.99999993198, 133.56300081327],
19627  [0.99999992889, -4.38617747094, 72.04933107129],
19628  [0.99999993208, -53.99999987008, 157.60722921332],
19629  [1.00000000000, -49.61382049157, 64.79114056952],
19630  [0.99999992889, -89.99999994082, 112.39277115638],
19631  [0.99999997215, -23.04128215601, 51.94656985846],
19632  [0.99999992665, -76.38617742215, 72.04933096210],
19633  [0.99999993251, 39.71807767282, 125.72240615218],
19634  [0.99999993294, 40.38617766555, 151.59759642355],
19635  [0.99999993027, 31.44527815788, 83.95595139326],
19636  [0.99999993001, -107.99999999622, 133.56300079611],
19637  [0.99999993251, 89.99999999999, 175.82771969239],
19638  [0.99999992846, 20.82794637973, 60.08762980391],
19639  [0.99999993139, -126.00000010249, 157.60722920519],
19640  [0.99999992565, -55.07031437910, 39.25516564935],
19641  [0.99999993139, 50.37623714233, 101.70688835168],
19642  [0.99999992734, -111.39806885915, 96.76060344119],
19643  [0.99999992665, 7.07470518792, 36.20847634635],
19644  [0.99999992596, -103.61382234103, 72.04933090746],
19645  [0.99999993251, 71.99999999621, 133.56300071454],
19646  [0.99999992522, -89.99999980532, 48.95782221870],
19647  [0.99999992889, 49.61382238836, 64.79114003198],
19648  [0.99999992846, -130.38617757042, 115.20886045472],
19649  [0.99999992522, -31.61382184960, 15.24452363152],
19650  [0.99999993182, 139.61382230595, 151.59759640696],
19651  [0.99999993139, 76.38617751532, 107.95066944356],
19652  [0.99999993070, -172.92529502820, 143.79152406436],
19653  [0.99999993001, 68.60193103016, 83.23939700984],
19654  [0.99999993182, 107.99999993197, 133.56300069739],
19655  [0.99999997172, -136.43700012618, 89.99999937870],
19656  [0.99999992596, 53.99999975385, 22.39277116748],
19657  [0.99999999819, -130.38617929570, 64.79114040561],
19658  [0.99999992889, -159.17205371004, 119.91237067797],
19659  [0.99999992453, -124.92968521333, 39.25516546918],
19660  [0.99999992734, 71.99999983560, 46.43699965184],
19661  [0.99999992453, -148.38617745588, 15.24452333482],
19662  [0.99999993070, 103.61382235966, 107.95066941460],
19663  [0.99999993058, 140.28192226938, 125.72240609513],
19664  [0.99999992946, 170.77235502383, 120.73733156082],
19665  [0.99999992846, 89.99999986765, 67.60722929848],
19666  [0.99999992708, -162.00000004638, 94.17228038589],
19667  [0.99999992526, 125.99999952143, 22.39277096689],
19668  [0.99999996991, -156.95871770158, 51.94656959463],
19669  [0.99999997172, 108.00000116584, 46.43699922618],
19670  [0.99999992889, 111.39806878419, 83.23939693745],
19671  [0.99999992946, 129.62376274669, 101.70688826136],
19672  [0.99999992484, 172.92529474527, 36.20847602836],
19673  [0.99999992765, 172.04859517050, 94.88659671233],
19674  [0.99999992596, -175.61382251042, 72.04933083984],
19675  [1.00000000000, 130.38617795168, 64.79113822081],
19676  [0.99999992765, 148.55472173940, 83.95595122587],
19677  [0.99999997103, 159.17205276679, 60.08762870951]
19678  ],
19679  [
19680  [30,24,12,18],
19681  [37,24,30],
19682  [37,39,26,24],
19683  [24,26,14,7,12],
19684  [26,28,14],
19685  [39,41,28,26],
19686  [14,28,22,11],
19687  [22,13,11],
19688  [22,31,25,13],
19689  [28,41,43,31,22],
19690  [31,38,25],
19691  [43,49,38,31],
19692  [40,48,37,30],
19693  [55,56,48],
19694  [55,58,59,56],
19695  [48,56,50,39,37],
19696  [58,57,59],
19697  [53,52,57,58],
19698  [56,59,54,50],
19699  [50,41,39],
19700  [50,54,43,41],
19701  [59,57,51,49,54],
19702  [54,49,43],
19703  [51,42,38,49],
19704  [40,46,55,48],
19705  [34,46,40],
19706  [34,32,45,46],
19707  [46,45,53,58,55],
19708  [32,36,45],
19709  [27,33,44,36],
19710  [45,36,44,53],
19711  [44,52,53],
19712  [52,47,51,57],
19713  [44,33,35,47,52],
19714  [47,42,51],
19715  [35,29,42,47],
19716  [21,19,32,34],
19717  [10,19,21],
19718  [10,5,16,19],
19719  [19,16,27,36,32],
19720  [16,15,27],
19721  [5,4,15,16],
19722  [27,15,23,33],
19723  [23,35,33],
19724  [23,17,29,35],
19725  [15,4,6,17,23],
19726  [17,20,29],
19727  [6,9,20,17],
19728  [18,8,10,21],
19729  [12,8,18],
19730  [12,7,1,8],
19731  [8,1,0,5,10],
19732  [7,3,1],
19733  [14,11,3,7],
19734  [1,3,2,0],
19735  [0,4,5],
19736  [0,2,6,4],
19737  [3,11,13,9,2],
19738  [2,9,6],
19739  [13,25,20,9],
19740  [21,34,40,30,18],
19741  [25,38,42,29,20]
19742  ],
19743  [
19744  [0,1],
19745  [0,2],
19746  [0,4],
19747  [0,5],
19748  [1,3],
19749  [1,7],
19750  [1,8],
19751  [2,3],
19752  [2,6],
19753  [2,9],
19754  [3,7],
19755  [3,11],
19756  [4,5],
19757  [4,6],
19758  [4,15],
19759  [5,10],
19760  [5,16],
19761  [6,9],
19762  [6,17],
19763  [7,12],
19764  [7,14],
19765  [8,10],
19766  [8,12],
19767  [8,18],
19768  [9,13],
19769  [9,20],
19770  [10,19],
19771  [10,21],
19772  [11,13],
19773  [11,14],
19774  [11,22],
19775  [12,18],
19776  [12,24],
19777  [13,22],
19778  [13,25],
19779  [14,26],
19780  [14,28],
19781  [15,16],
19782  [15,23],
19783  [15,27],
19784  [16,19],
19785  [16,27],
19786  [17,20],
19787  [17,23],
19788  [17,29],
19789  [18,21],
19790  [18,30],
19791  [19,21],
19792  [19,32],
19793  [20,25],
19794  [20,29],
19795  [21,34],
19796  [22,28],
19797  [22,31],
19798  [23,33],
19799  [23,35],
19800  [24,26],
19801  [24,30],
19802  [24,37],
19803  [25,31],
19804  [25,38],
19805  [26,28],
19806  [26,39],
19807  [27,33],
19808  [27,36],
19809  [28,41],
19810  [29,35],
19811  [29,42],
19812  [30,37],
19813  [30,40],
19814  [31,38],
19815  [31,43],
19816  [32,34],
19817  [32,36],
19818  [32,45],
19819  [33,35],
19820  [33,44],
19821  [34,40],
19822  [34,46],
19823  [35,47],
19824  [36,44],
19825  [36,45],
19826  [37,39],
19827  [37,48],
19828  [38,42],
19829  [38,49],
19830  [39,41],
19831  [39,50],
19832  [40,46],
19833  [40,48],
19834  [41,43],
19835  [41,50],
19836  [42,47],
19837  [42,51],
19838  [43,49],
19839  [43,54],
19840  [44,52],
19841  [44,53],
19842  [45,46],
19843  [45,53],
19844  [46,55],
19845  [47,51],
19846  [47,52],
19847  [48,55],
19848  [48,56],
19849  [49,51],
19850  [49,54],
19851  [50,54],
19852  [50,56],
19853  [51,57],
19854  [52,53],
19855  [52,57],
19856  [53,58],
19857  [54,59],
19858  [55,56],
19859  [55,58],
19860  [56,59],
19861  [57,58],
19862  [57,59],
19863  [58,59]
19864  ]
19865  ],
19866  [
19867  "platonic_cube",
19868  "Cube",
19869  "Hexahedron",
19870  "platonic",
19871  "Exact Mathematics",
19872  [
19873  [ 1.00000000000, 1.00000000000, 1.00000000000],
19874  [ 1.00000000000, 1.00000000000, -1.00000000000],
19875  [ 1.00000000000, -1.00000000000, 1.00000000000],
19876  [ 1.00000000000, -1.00000000000, -1.00000000000],
19877  [-1.00000000000, 1.00000000000, 1.00000000000],
19878  [-1.00000000000, 1.00000000000, -1.00000000000],
19879  [-1.00000000000, -1.00000000000, 1.00000000000],
19880  [-1.00000000000, -1.00000000000, -1.00000000000]
19881  ],
19882  [
19883  [1.73205080757, 45.00000000000, 54.73561031724],
19884  [1.73205080757, 45.00000000000, 125.26438968275],
19885  [1.73205080757, -45.00000000000, 54.73561031724],
19886  [1.73205080757, -45.00000000000, 125.26438968275],
19887  [1.73205080757, 134.99999999999, 54.73561031724],
19888  [1.73205080757, 134.99999999999, 125.26438968275],
19889  [1.73205080757, -134.99999999999, 54.73561031724],
19890  [1.73205080757, -134.99999999999, 125.26438968275]
19891  ],
19892  [
19893  [6,4,0,2],
19894  [5,1,0,4],
19895  [7,5,4,6],
19896  [1,3,2,0],
19897  [3,7,6,2],
19898  [7,3,1,5]
19899  ],
19900  [
19901  [0,1],
19902  [0,2],
19903  [0,4],
19904  [1,3],
19905  [1,5],
19906  [2,3],
19907  [2,6],
19908  [3,7],
19909  [4,5],
19910  [4,6],
19911  [5,7],
19912  [6,7]
19913  ]
19914  ],
19915  [
19916  "platonic_dodecahedron",
19917  "Dodecahedron",
19918  empty_str,
19919  "platonic",
19920  "Exact Mathematics",
19921  [
19922  [ 0.57735026919, 0.57735026919, 0.57735026919],
19923  [-0.00000000000, 0.93417235896, -0.35682208977],
19924  [-0.57735026919, 0.57735026919, 0.57735026919],
19925  [-0.00000000000, 0.93417235896, 0.35682208977],
19926  [-0.93417235896, 0.35682208977, -0.00000000000],
19927  [-0.57735026919, 0.57735026919, -0.57735026919],
19928  [ 0.93417235896, -0.35682208977, -0.00000000000],
19929  [ 0.93417235896, 0.35682208977, -0.00000000000],
19930  [ 0.57735026919, 0.57735026919, -0.57735026919],
19931  [ 0.57735026919, -0.57735026919, 0.57735026919],
19932  [ 0.35682208977, 0.00000000000, 0.93417235896],
19933  [-0.35682208977, 0.00000000000, 0.93417235896],
19934  [-0.93417235896, -0.35682208977, -0.00000000000],
19935  [-0.57735026919, -0.57735026919, 0.57735026919],
19936  [-0.00000000000, -0.93417235896, 0.35682208977],
19937  [ 0.35682208977, 0.00000000000, -0.93417235896],
19938  [ 0.57735026919, -0.57735026919, -0.57735026919],
19939  [-0.00000000000, -0.93417235896, -0.35682208977],
19940  [-0.35682208977, 0.00000000000, -0.93417235896],
19941  [-0.57735026919, -0.57735026919, -0.57735026919]
19942  ],
19943  [
19944  [1.00000000000, 45.00000000000, 54.73561031724],
19945  [1.00000000000, 89.99999999999, 110.90515744788],
19946  [1.00000000000, 134.99999999999, 54.73561031724],
19947  [1.00000000000, 89.99999999999, 69.09484255211],
19948  [1.00000000000, 159.09484255210, 89.99999999999],
19949  [1.00000000000, 134.99999999999, 125.26438968275],
19950  [1.00000000000, -20.90515744789, 89.99999999999],
19951  [1.00000000000, 20.90515744789, 89.99999999999],
19952  [1.00000000000, 45.00000000000, 125.26438968275],
19953  [1.00000000000, -45.00000000000, 54.73561031724],
19954  [1.00000000000, 0.00000000000, 20.90515744789],
19955  [1.00000000000, 179.99999999999, 20.90515744789],
19956  [1.00000000000, -159.09484255210, 89.99999999999],
19957  [1.00000000000, -134.99999999999, 54.73561031724],
19958  [1.00000000000, -89.99999999999, 69.09484255211],
19959  [1.00000000000, 0.00000000000, 159.09484255210],
19960  [1.00000000000, -45.00000000000, 125.26438968275],
19961  [1.00000000000, -89.99999999999, 110.90515744788],
19962  [1.00000000000, 179.99999999999, 159.09484255210],
19963  [1.00000000000, -134.99999999999, 125.26438968275]
19964  ],
19965  [
19966  [2,4,5,1,3],
19967  [0,7,6,9,10],
19968  [8,15,16,6,7],
19969  [8,7,0,3,1],
19970  [5,18,15,8,1],
19971  [0,10,11,2,3],
19972  [6,16,17,14,9],
19973  [11,13,12,4,2],
19974  [11,10,9,14,13],
19975  [19,17,16,15,18],
19976  [19,12,13,14,17],
19977  [18,5,4,12,19]
19978  ],
19979  [
19980  [0,3],
19981  [0,7],
19982  [0,10],
19983  [1,3],
19984  [1,5],
19985  [1,8],
19986  [2,3],
19987  [2,4],
19988  [2,11],
19989  [4,5],
19990  [4,12],
19991  [5,18],
19992  [6,7],
19993  [6,9],
19994  [6,16],
19995  [7,8],
19996  [8,15],
19997  [9,10],
19998  [9,14],
19999  [10,11],
20000  [11,13],
20001  [12,13],
20002  [12,19],
20003  [13,14],
20004  [14,17],
20005  [15,16],
20006  [15,18],
20007  [16,17],
20008  [17,19],
20009  [18,19]
20010  ]
20011  ],
20012  [
20013  "platonic_icosahedron",
20014  "Icosahedron",
20015  empty_str,
20016  "platonic",
20017  "Exact Mathematics",
20018  [
20019  [-1.00000000000, 0.00000000000, 0.61803398875],
20020  [ 1.00000000000, 0.00000000000, 0.61803398875],
20021  [-1.00000000000, 0.00000000000, -0.61803398875],
20022  [ 1.00000000000, 0.00000000000, -0.61803398875],
20023  [ 0.00000000000, 0.61803398875, 1.00000000000],
20024  [ 0.00000000000, 0.61803398875, -1.00000000000],
20025  [ 0.00000000000, -0.61803398875, 1.00000000000],
20026  [ 0.00000000000, -0.61803398875, -1.00000000000],
20027  [ 0.61803398875, 1.00000000000, 0.00000000000],
20028  [-0.61803398875, 1.00000000000, 0.00000000000],
20029  [ 0.61803398875, -1.00000000000, 0.00000000000],
20030  [-0.61803398875, -1.00000000000, 0.00000000000]
20031  ],
20032  [
20033  [1.17557050458, 179.99999999999, 58.28252558853],
20034  [1.17557050458, 0.00000000000, 58.28252558853],
20035  [1.17557050458, 179.99999999999, 121.71747441145],
20036  [1.17557050458, 0.00000000000, 121.71747441145],
20037  [1.17557050458, 89.99999999999, 31.71747441146],
20038  [1.17557050458, 89.99999999999, 148.28252558853],
20039  [1.17557050458, -89.99999999999, 31.71747441146],
20040  [1.17557050458, -89.99999999999, 148.28252558853],
20041  [1.17557050458, 58.28252558853, 89.99999999999],
20042  [1.17557050458, 121.71747441145, 89.99999999999],
20043  [1.17557050458, -58.28252558853, 89.99999999999],
20044  [1.17557050458, -121.71747441145, 89.99999999999]
20045  ],
20046  [
20047  [4,8,1],
20048  [10,6,1],
20049  [4,6,0],
20050  [6,4,1],
20051  [8,3,1],
20052  [3,10,1],
20053  [4,9,8],
20054  [2,9,0],
20055  [9,4,0],
20056  [11,6,10],
20057  [11,2,0],
20058  [6,11,0],
20059  [5,3,8],
20060  [9,5,8],
20061  [5,9,2],
20062  [3,7,10],
20063  [7,11,10],
20064  [11,7,2],
20065  [7,5,2],
20066  [5,7,3]
20067  ],
20068  [
20069  [0,2],
20070  [0,4],
20071  [0,6],
20072  [0,9],
20073  [0,11],
20074  [1,3],
20075  [1,4],
20076  [1,6],
20077  [1,8],
20078  [1,10],
20079  [2,5],
20080  [2,7],
20081  [2,9],
20082  [2,11],
20083  [3,5],
20084  [3,7],
20085  [3,8],
20086  [3,10],
20087  [4,6],
20088  [4,8],
20089  [4,9],
20090  [5,7],
20091  [5,8],
20092  [5,9],
20093  [6,10],
20094  [6,11],
20095  [7,10],
20096  [7,11],
20097  [8,9],
20098  [10,11]
20099  ]
20100  ],
20101  [
20102  "platonic_octahedron",
20103  "Octahedron",
20104  empty_str,
20105  "platonic",
20106  "Exact Mathematics",
20107  [
20108  [ 0.00000000000, 0.00000000000, 1.00000000000],
20109  [ 0.00000000000, 1.00000000000, 0.00000000000],
20110  [-1.00000000000, 0.00000000000, 0.00000000000],
20111  [ 1.00000000000, 0.00000000000, 0.00000000000],
20112  [ 0.00000000000, -1.00000000000, 0.00000000000],
20113  [ 0.00000000000, 0.00000000000, -1.00000000000]
20114  ],
20115  [
20116  [1.00000000000, 0.00000000000, 0.00000000000],
20117  [1.00000000000, 89.99999999999, 89.99999999999],
20118  [1.00000000000, 179.99999999999, 89.99999999999],
20119  [1.00000000000, 0.00000000000, 89.99999999999],
20120  [1.00000000000, -89.99999999999, 89.99999999999],
20121  [1.00000000000, 0.00000000000, 179.99999999999]
20122  ],
20123  [
20124  [1,0,2],
20125  [0,1,3],
20126  [5,1,2],
20127  [1,5,3],
20128  [4,0,3],
20129  [0,4,2],
20130  [4,5,2],
20131  [5,4,3]
20132  ],
20133  [
20134  [0,1],
20135  [0,2],
20136  [0,3],
20137  [0,4],
20138  [1,2],
20139  [1,3],
20140  [2,4],
20141  [3,4],
20142  [1,5],
20143  [2,5],
20144  [3,5],
20145  [4,5]
20146  ]
20147  ],
20148  [
20149  "platonic_tetrahedron",
20150  "Tetrahedron",
20151  empty_str,
20152  "platonic",
20153  "Exact Mathematics",
20154  [
20155  [ 1.00000000000, 1.00000000000, -1.00000000000],
20156  [-1.00000000000, 1.00000000000, 1.00000000000],
20157  [ 1.00000000000, -1.00000000000, 1.00000000000],
20158  [-1.00000000000, -1.00000000000, -1.00000000000]
20159  ],
20160  [
20161  [1.73205080757, 45.00000000000, 125.26438968275],
20162  [1.73205080757, 134.99999999999, 54.73561031724],
20163  [1.73205080757, -45.00000000000, 54.73561031724],
20164  [1.73205080757, -134.99999999999, 125.26438968275]
20165  ],
20166  [
20167  [0,2,1],
20168  [3,0,1],
20169  [2,3,1],
20170  [3,2,0]
20171  ],
20172  [
20173  [0,1],
20174  [0,2],
20175  [0,3],
20176  [1,2],
20177  [1,3],
20178  [2,3]
20179  ]
20180  ],
20181  [
20182  "prisms_decagonal_prism",
20183  "Decagonal Prism",
20184  empty_str,
20185  "prisms",
20186  "Polyhedron Database #26",
20187  [
20188  [-0.95542256321, 0.29524180884, -0.00000000000],
20189  [-0.77295309045, 0.29524180884, 0.56158329236],
20190  [-0.77295309045, 0.29524180884, -0.56158329236],
20191  [-0.95542256321, -0.29524180884, -0.00000000000],
20192  [-0.77295309045, -0.29524180884, 0.56158329236],
20193  [-0.77295309045, -0.29524180884, -0.56158329236],
20194  [-0.29524180884, 0.29524180884, 0.90866085456],
20195  [-0.29524180884, 0.29524180884, -0.90866085456],
20196  [-0.29524180884, -0.29524180884, 0.90866085456],
20197  [-0.29524180884, -0.29524180884, -0.90866085456],
20198  [ 0.29524180884, 0.29524180884, 0.90866085456],
20199  [ 0.29524180884, 0.29524180884, -0.90866085456],
20200  [ 0.29524180884, -0.29524180884, 0.90866085456],
20201  [ 0.29524180884, -0.29524180884, -0.90866085456],
20202  [ 0.77295309045, 0.29524180884, 0.56158329236],
20203  [ 0.77295309045, 0.29524180884, -0.56158329236],
20204  [ 0.95542256321, 0.29524180884, -0.00000000000],
20205  [ 0.77295309045, -0.29524180884, 0.56158329236],
20206  [ 0.77295309045, -0.29524180884, -0.56158329236],
20207  [ 0.95542256321, -0.29524180884, -0.00000000000]
20208  ],
20209  [
20210  [0.99999999999, 162.82796214954, 89.99999999999],
20211  [0.99999999999, 159.09484255227, 55.83463617203],
20212  [0.99999999999, 159.09484255227, 124.16536382795],
20213  [0.99999999999, -162.82796214954, 89.99999999999],
20214  [0.99999999999, -159.09484255227, 55.83463617203],
20215  [0.99999999999, -159.09484255227, 124.16536382795],
20216  [0.99999999999, 134.99999999999, 24.67905738915],
20217  [0.99999999999, 134.99999999999, 155.32094261084],
20218  [0.99999999999, -134.99999999999, 24.67905738915],
20219  [0.99999999999, -134.99999999999, 155.32094261084],
20220  [0.99999999999, 45.00000000000, 24.67905738915],
20221  [0.99999999999, 45.00000000000, 155.32094261084],
20222  [0.99999999999, -45.00000000000, 24.67905738915],
20223  [0.99999999999, -45.00000000000, 155.32094261084],
20224  [0.99999999999, 20.90515744772, 55.83463617203],
20225  [0.99999999999, 20.90515744772, 124.16536382795],
20226  [0.99999999999, 17.17203785045, 89.99999999999],
20227  [0.99999999999, -20.90515744772, 55.83463617203],
20228  [0.99999999999, -20.90515744772, 124.16536382795],
20229  [0.99999999999, -17.17203785045, 89.99999999999]
20230  ],
20231  [
20232  [17,19,18,13,9,5,3,4,8,12],
20233  [1,0,2,7,11,15,16,14,10,6],
20234  [2,5,9,7],
20235  [0,3,5,2],
20236  [1,4,3,0],
20237  [6,8,4,1],
20238  [10,12,8,6],
20239  [14,17,12,10],
20240  [16,19,17,14],
20241  [15,18,19,16],
20242  [11,13,18,15],
20243  [7,9,13,11]
20244  ],
20245  [
20246  [0,1],
20247  [0,2],
20248  [0,3],
20249  [1,4],
20250  [1,6],
20251  [2,5],
20252  [2,7],
20253  [3,4],
20254  [3,5],
20255  [4,8],
20256  [5,9],
20257  [6,8],
20258  [6,10],
20259  [7,9],
20260  [7,11],
20261  [8,12],
20262  [9,13],
20263  [10,12],
20264  [10,14],
20265  [11,13],
20266  [11,15],
20267  [12,17],
20268  [13,18],
20269  [14,16],
20270  [14,17],
20271  [15,16],
20272  [15,18],
20273  [16,19],
20274  [17,19],
20275  [18,19]
20276  ]
20277  ],
20278  [
20279  "prisms_hexagonal_prism",
20280  "Hexagonal Prism",
20281  empty_str,
20282  "prisms",
20283  "Polyhedron Database #24",
20284  [
20285  [-0.89442719100, 0.44721359550, 0.00000000000],
20286  [-0.44721359550, 0.44721359550, 0.77459666924],
20287  [-0.44721359550, 0.44721359550, -0.77459666924],
20288  [ 0.44721359550, 0.44721359550, 0.77459666924],
20289  [ 0.44721359550, 0.44721359550, -0.77459666924],
20290  [-0.89442719100, -0.44721359550, 0.00000000000],
20291  [ 0.89442719100, 0.44721359550, 0.00000000000],
20292  [-0.44721359550, -0.44721359550, 0.77459666924],
20293  [-0.44721359550, -0.44721359550, -0.77459666924],
20294  [ 0.44721359550, -0.44721359550, 0.77459666924],
20295  [ 0.44721359550, -0.44721359550, -0.77459666924],
20296  [ 0.89442719100, -0.44721359550, 0.00000000000]
20297  ],
20298  [
20299  [1.00000000000, 153.43494882291, 89.99999999994],
20300  [1.00000000000, 135.00000000000, 39.23152048360],
20301  [1.00000000000, 135.00000000000, 140.76847951642],
20302  [1.00000000000, 45.00000000000, 39.23152048360],
20303  [1.00000000000, 45.00000000000, 140.76847951642],
20304  [1.00000000000, -153.43494882291, 89.99999999994],
20305  [1.00000000000, 26.56505117708, 89.99999999994],
20306  [1.00000000000, -134.99999999998, 39.23152048360],
20307  [1.00000000000, -134.99999999998, 140.76847951642],
20308  [1.00000000000, -44.99999999999, 39.23152048360],
20309  [1.00000000000, -44.99999999999, 140.76847951642],
20310  [1.00000000000, -26.56505117707, 89.99999999994]
20311  ],
20312  [
20313  [11,10,8,5,7,9],
20314  [0,2,4,6,3,1],
20315  [0,5,8,2],
20316  [1,7,5,0],
20317  [3,9,7,1],
20318  [6,11,9,3],
20319  [4,10,11,6],
20320  [2,8,10,4]
20321  ],
20322  [
20323  [0,1],
20324  [0,2],
20325  [0,5],
20326  [1,3],
20327  [1,7],
20328  [2,4],
20329  [2,8],
20330  [3,6],
20331  [3,9],
20332  [4,6],
20333  [4,10],
20334  [5,7],
20335  [5,8],
20336  [6,11],
20337  [7,9],
20338  [8,10],
20339  [9,11],
20340  [10,11]
20341  ]
20342  ],
20343  [
20344  "prisms_octagonal_prism",
20345  "Octagonal Prism",
20346  empty_str,
20347  "prisms",
20348  "Polyhedron Database #25",
20349  [
20350  [-0.86285620946, 0.35740674434, 0.35740674434],
20351  [-0.86285620946, 0.35740674434, -0.35740674434],
20352  [-0.35740674434, 0.35740674434, 0.86285620946],
20353  [-0.35740674434, 0.35740674434, -0.86285620946],
20354  [-0.86285620946, -0.35740674434, 0.35740674434],
20355  [-0.86285620946, -0.35740674434, -0.35740674434],
20356  [-0.35740674434, -0.35740674434, 0.86285620946],
20357  [ 0.35740674434, 0.35740674434, 0.86285620946],
20358  [-0.35740674434, -0.35740674434, -0.86285620946],
20359  [ 0.35740674434, 0.35740674434, -0.86285620946],
20360  [ 0.86285620946, 0.35740674434, 0.35740674434],
20361  [ 0.86285620946, 0.35740674434, -0.35740674434],
20362  [ 0.35740674434, -0.35740674434, 0.86285620946],
20363  [ 0.35740674434, -0.35740674434, -0.86285620946],
20364  [ 0.86285620946, -0.35740674434, 0.35740674434],
20365  [ 0.86285620946, -0.35740674434, -0.35740674434]
20366  ],
20367  [
20368  [1.00000000000, 157.50000000001, 69.05897952780],
20369  [1.00000000000, 157.50000000001, 110.94102047226],
20370  [1.00000000000, 134.99999999999, 30.36119340482],
20371  [1.00000000000, 134.99999999999, 149.63880659514],
20372  [1.00000000000, -157.50000000001, 69.05897952780],
20373  [1.00000000000, -157.50000000001, 110.94102047226],
20374  [1.00000000000, -134.99999999999, 30.36119340482],
20375  [1.00000000000, 45.00000000000, 30.36119340482],
20376  [1.00000000000, -134.99999999999, 149.63880659514],
20377  [1.00000000000, 45.00000000000, 149.63880659514],
20378  [1.00000000000, 22.49999999998, 69.05897952780],
20379  [1.00000000000, 22.49999999998, 110.94102047226],
20380  [1.00000000000, -45.00000000000, 30.36119340482],
20381  [1.00000000000, -45.00000000000, 149.63880659514],
20382  [1.00000000000, -22.49999999998, 69.05897952780],
20383  [1.00000000000, -22.49999999998, 110.94102047226]
20384  ],
20385  [
20386  [14,15,13,8,5,4,6,12],
20387  [0,1,3,9,11,10,7,2],
20388  [1,5,8,3],
20389  [0,4,5,1],
20390  [2,6,4,0],
20391  [7,12,6,2],
20392  [10,14,12,7],
20393  [11,15,14,10],
20394  [9,13,15,11],
20395  [3,8,13,9]
20396  ],
20397  [
20398  [0,1],
20399  [0,2],
20400  [0,4],
20401  [1,3],
20402  [1,5],
20403  [2,6],
20404  [2,7],
20405  [3,8],
20406  [3,9],
20407  [4,5],
20408  [4,6],
20409  [5,8],
20410  [6,12],
20411  [7,10],
20412  [7,12],
20413  [8,13],
20414  [9,11],
20415  [9,13],
20416  [10,11],
20417  [10,14],
20418  [11,15],
20419  [12,14],
20420  [13,15],
20421  [14,15]
20422  ]
20423  ],
20424  [
20425  "prisms_pentagonal_prism",
20426  "Pentagonal Prism",
20427  empty_str,
20428  "prisms",
20429  "Polyhedron Database #23",
20430  [
20431  [-0.81990936291, -0.50673185397, -0.26640470114],
20432  [-0.81990936291, 0.50673185397, -0.26640470114],
20433  [-0.50673185397, -0.50673185397, 0.69745656233],
20434  [-0.50673185397, 0.50673185397, 0.69745656233],
20435  [ 0.00000000000, -0.50673185397, -0.86210372240],
20436  [ 0.00000000000, 0.50673185397, -0.86210372240],
20437  [ 0.50673185397, -0.50673185397, 0.69745656233],
20438  [ 0.50673185397, 0.50673185397, 0.69745656233],
20439  [ 0.81990936291, -0.50673185397, -0.26640470114],
20440  [ 0.81990936291, 0.50673185397, -0.26640470114]
20441  ],
20442  [
20443  [1.00000000000, -148.28252558848, 105.45043708638],
20444  [1.00000000000, 148.28252558848, 105.45043708638],
20445  [1.00000000000, -134.99999999999, 45.77670183604],
20446  [1.00000000000, 134.99999999999, 45.77670183604],
20447  [1.00000000000, -89.99999999999, 149.55361568293],
20448  [1.00000000000, 89.99999999999, 149.55361568293],
20449  [1.00000000000, -45.00000000000, 45.77670183604],
20450  [1.00000000000, 45.00000000000, 45.77670183604],
20451  [1.00000000000, -31.71747441151, 105.45043708638],
20452  [1.00000000000, 31.71747441151, 105.45043708638]
20453  ],
20454  [
20455  [8,4,0,2,6],
20456  [1,5,9,7,3],
20457  [1,0,4,5],
20458  [3,2,0,1],
20459  [7,6,2,3],
20460  [9,8,6,7],
20461  [5,4,8,9]
20462  ],
20463  [
20464  [0,1],
20465  [0,2],
20466  [0,4],
20467  [1,3],
20468  [1,5],
20469  [2,3],
20470  [2,6],
20471  [3,7],
20472  [4,5],
20473  [4,8],
20474  [5,9],
20475  [6,7],
20476  [6,8],
20477  [7,9],
20478  [8,9]
20479  ]
20480  ],
20481  [
20482  "prisms_square_prism",
20483  "Square Prism",
20484  "Cube",
20485  "prisms",
20486  "Polyhedron Database #1",
20487  [
20488  [-0.57735026919, -0.57735026919, -0.57735026919],
20489  [-0.57735026919, -0.57735026919, 0.57735026919],
20490  [-0.57735026919, 0.57735026919, -0.57735026919],
20491  [-0.57735026919, 0.57735026919, 0.57735026919],
20492  [ 0.57735026919, -0.57735026919, -0.57735026919],
20493  [ 0.57735026919, -0.57735026919, 0.57735026919],
20494  [ 0.57735026919, 0.57735026919, -0.57735026919],
20495  [ 0.57735026919, 0.57735026919, 0.57735026919]
20496  ],
20497  [
20498  [1.00000000000, -134.99999999999, 125.26438968275],
20499  [1.00000000000, -134.99999999999, 54.73561031724],
20500  [1.00000000000, 134.99999999999, 125.26438968275],
20501  [1.00000000000, 134.99999999999, 54.73561031724],
20502  [1.00000000000, -45.00000000000, 125.26438968275],
20503  [1.00000000000, -45.00000000000, 54.73561031724],
20504  [1.00000000000, 45.00000000000, 125.26438968275],
20505  [1.00000000000, 45.00000000000, 54.73561031724]
20506  ],
20507  [
20508  [5,4,0,1],
20509  [7,5,1,3],
20510  [1,0,2,3],
20511  [4,6,2,0],
20512  [7,6,4,5],
20513  [3,2,6,7]
20514  ],
20515  [
20516  [0,1],
20517  [0,2],
20518  [0,4],
20519  [1,3],
20520  [1,5],
20521  [2,3],
20522  [2,6],
20523  [3,7],
20524  [4,5],
20525  [4,6],
20526  [5,7],
20527  [6,7]
20528  ]
20529  ],
20530  [
20531  "prisms_triangular_prism",
20532  "Triangular Prism",
20533  empty_str,
20534  "prisms",
20535  "Polyhedron Database #22",
20536  [
20537  [-0.65465367071, -0.65465367071, 0.37796447301],
20538  [-0.65465367071, 0.65465367071, 0.37796447301],
20539  [ 0.00000000000, -0.65465367071, -0.75592894602],
20540  [ 0.00000000000, 0.65465367071, -0.75592894602],
20541  [ 0.65465367071, -0.65465367071, 0.37796447301],
20542  [ 0.65465367071, 0.65465367071, 0.37796447301]
20543  ],
20544  [
20545  [1.00000000000, -134.99999999999, 67.79234570143],
20546  [1.00000000000, 134.99999999999, 67.79234570143],
20547  [1.00000000000, -89.99999999999, 139.10660535081],
20548  [1.00000000000, 89.99999999999, 139.10660535081],
20549  [1.00000000000, -45.00000000000, 67.79234570143],
20550  [1.00000000000, 45.00000000000, 67.79234570143]
20551  ],
20552  [
20553  [2,0,4],
20554  [3,5,1],
20555  [1,0,2,3],
20556  [5,4,0,1],
20557  [3,2,4,5]
20558  ],
20559  [
20560  [0,1],
20561  [0,2],
20562  [0,4],
20563  [1,3],
20564  [1,5],
20565  [2,3],
20566  [2,4],
20567  [3,5],
20568  [4,5]
20569  ]
20570  ],
20571  [
20572  "pyramids_pentagonal_dipyramid",
20573  "Pentagonal Dipyramid",
20574  "J13",
20575  "pyramids",
20576  "Polyhedron Database #57",
20577  [
20578  [ 0.00000000000, 0.61803398875, 0.00000000000],
20579  [ 0.00000000000, -0.00000000000, 1.00000000000],
20580  [ 0.95105651630, -0.00000000000, 0.30901699437],
20581  [-0.95105651630, -0.00000000000, 0.30901699437],
20582  [ 0.58778525229, 0.00000000000, -0.80901699437],
20583  [-0.58778525229, -0.00000000000, -0.80901699437],
20584  [ 0.00000000000, -0.61803398875, 0.00000000000]
20585  ],
20586  [
20587  [0.61803398875, 89.99999999999, 89.99999999999],
20588  [1.00000000000, -0.00000000000, 0.00000000000],
20589  [1.00000000000, -0.00000000000, 72.00000000000],
20590  [1.00000000000, -179.99999999999, 72.00000000000],
20591  [1.00000000000, 0.00000000000, 143.99999999999],
20592  [1.00000000000, -179.99999999999, 143.99999999999],
20593  [0.61803398875, -89.99999999999, 89.99999999999]
20594  ],
20595  [
20596  [0,2,1],
20597  [0,5,4],
20598  [0,4,2],
20599  [0,1,3],
20600  [0,3,5],
20601  [6,1,2],
20602  [6,4,5],
20603  [6,2,4],
20604  [6,3,1],
20605  [6,5,3]
20606  ],
20607  [
20608  [0,1],
20609  [0,2],
20610  [0,3],
20611  [0,4],
20612  [0,5],
20613  [1,2],
20614  [1,3],
20615  [1,6],
20616  [2,4],
20617  [2,6],
20618  [3,5],
20619  [3,6],
20620  [4,5],
20621  [4,6],
20622  [5,6]
20623  ]
20624  ],
20625  [
20626  "pyramids_pentagonal_pyramid",
20627  "Pentagonal Pyramid",
20628  "J2",
20629  "pyramids",
20630  "Polyhedron Database #46",
20631  [
20632  [ 0.00000000000, 0.51231760759, 0.00000000000],
20633  [ 0.00000000000, -0.10246352152, 0.99473676254],
20634  [ 0.94605088002, -0.10246352152, 0.30739056456],
20635  [-0.94605088002, -0.10246352152, 0.30739056456],
20636  [ 0.58469159894, -0.10246352152, -0.80475894583],
20637  [-0.58469159894, -0.10246352152, -0.80475894583]
20638  ],
20639  [
20640  [0.51231760759, 89.99999999999, 89.99999999999],
20641  [1.00000000000, -89.99999999999, 5.88104874729],
20642  [1.00000000000, -6.18141426337, 72.09795604403],
20643  [1.00000000000, -173.81858573661, 72.09795604404],
20644  [1.00000000000, -9.93979324212, 143.58698182134],
20645  [1.00000000000, -170.06020675786, 143.58698182134]
20646  ],
20647  [
20648  [0,2,1],
20649  [0,5,4],
20650  [0,4,2],
20651  [0,1,3],
20652  [0,3,5],
20653  [1,2,4,5,3]
20654  ],
20655  [
20656  [0,1],
20657  [0,2],
20658  [0,3],
20659  [0,4],
20660  [0,5],
20661  [1,2],
20662  [1,3],
20663  [2,4],
20664  [3,5],
20665  [4,5]
20666  ]
20667  ],
20668  [
20669  "pyramids_square_dipryamid",
20670  "Square Dipryamid",
20671  "Octahedron",
20672  "pyramids",
20673  "Exact Mathematics",
20674  [
20675  [ 0.00000000000, 1.00000000000, 0.00000000000],
20676  [-1.00000000000, 0.00000000000, 0.00000000000],
20677  [ 0.00000000000, 0.00000000000, -1.00000000000],
20678  [ 1.00000000000, 0.00000000000, 0.00000000000],
20679  [ 0.00000000000, 0.00000000000, 1.00000000000],
20680  [ 0.00000000000, -1.00000000000, 0.00000000000]
20681  ],
20682  [
20683  [1.00000000000, 89.99999999999, 89.99999999999],
20684  [1.00000000000, 179.99999999999, 89.99999999999],
20685  [1.00000000000, 0.00000000000, 179.99999999999],
20686  [1.00000000000, 0.00000000000, 89.99999999999],
20687  [1.00000000000, 0.00000000000, 0.00000000000],
20688  [1.00000000000, -89.99999999999, 89.99999999999]
20689  ],
20690  [
20691  [0,1,2],
20692  [0,2,3],
20693  [0,3,4],
20694  [0,4,1],
20695  [5,2,1],
20696  [5,3,2],
20697  [5,4,3],
20698  [5,1,4]
20699  ],
20700  [
20701  [0,1],
20702  [0,2],
20703  [0,3],
20704  [0,4],
20705  [1,2],
20706  [1,4],
20707  [1,5],
20708  [2,3],
20709  [2,5],
20710  [3,4],
20711  [3,5],
20712  [4,5]
20713  ]
20714  ],
20715  [
20716  "pyramids_square_pyramid",
20717  "Square Pyramid",
20718  "J1",
20719  "pyramids",
20720  "Exact Mathematics",
20721  [
20722  [ 0.00000000000, 1.00000000000, 0.00000000000],
20723  [-1.00000000000, 0.00000000000, 0.00000000000],
20724  [ 0.00000000000, 0.00000000000, -1.00000000000],
20725  [ 1.00000000000, 0.00000000000, 0.00000000000],
20726  [ 0.00000000000, 0.00000000000, 1.00000000000]
20727  ],
20728  [
20729  [1.00000000000, 89.99999999999, 89.99999999999],
20730  [1.00000000000, 179.99999999999, 89.99999999999],
20731  [1.00000000000, 0.00000000000, 179.99999999999],
20732  [1.00000000000, 0.00000000000, 89.99999999999],
20733  [1.00000000000, 0.00000000000, 0.00000000000]
20734  ],
20735  [
20736  [0,1,2],
20737  [0,2,3],
20738  [0,3,4],
20739  [0,4,1],
20740  [4,3,2,1]
20741  ],
20742  [
20743  [0,1],
20744  [0,2],
20745  [0,3],
20746  [0,4],
20747  [1,2],
20748  [1,4],
20749  [2,3],
20750  [3,4]
20751  ]
20752  ],
20753  [
20754  "pyramids_triangular_dipyramid",
20755  "Triangular Dipyramid",
20756  "J12",
20757  "pyramids",
20758  "Exact Mathematics",
20759  [
20760  [ 0.00000000000, 1.00000000000, 0.00000000000],
20761  [-0.61237243570, 0.00000000000, 0.35355339059],
20762  [ 0.61237243570, 0.00000000000, 0.35355339059],
20763  [ 0.00000000000, 0.00000000000, -0.70710678119],
20764  [ 0.00000000000, -1.00000000000, 0.00000000000]
20765  ],
20766  [
20767  [1.00000000000, 89.99999999999, 89.99999999999],
20768  [0.70710678119, 179.99999999999, 59.99999999999],
20769  [0.70710678119, 0.00000000000, 59.99999999999],
20770  [0.70710678119, 0.00000000000, 179.99999999999],
20771  [1.00000000000, -89.99999999999, 89.99999999999]
20772  ],
20773  [
20774  [0,2,1],
20775  [0,1,3],
20776  [0,3,2],
20777  [4,1,2],
20778  [4,3,1],
20779  [4,2,3]
20780  ],
20781  [
20782  [0,1],
20783  [0,2],
20784  [0,3],
20785  [1,2],
20786  [1,3],
20787  [1,4],
20788  [2,3],
20789  [2,4],
20790  [3,4]
20791  ]
20792  ],
20793  [
20794  "pyramids_triangular_pyramid",
20795  "Triangular Pyramid",
20796  "Tetrahedron",
20797  "pyramids",
20798  "Exact Mathematics",
20799  [
20800  [ 0.00000000000, 1.00000000000, 0.00000000000],
20801  [-0.81649658093, -0.33333333333, 0.47140452079],
20802  [ 0.81649658093, -0.33333333333, 0.47140452079],
20803  [-0.00000000000, -0.33333333333, -0.94280904158]
20804  ],
20805  [
20806  [1.00000000000, 89.99999999999, 89.99999999999],
20807  [1.00000000000, -157.79234570139, 61.87449429794],
20808  [1.00000000000, -22.20765429859, 61.87449429794],
20809  [1.00000000000, -89.99999999999, 160.52877936550]
20810  ],
20811  [
20812  [0,2,1],
20813  [0,1,3],
20814  [0,3,2],
20815  [1,2,3]
20816  ],
20817  [
20818  [0,1],
20819  [0,2],
20820  [0,3],
20821  [1,2],
20822  [1,3],
20823  [2,3]
20824  ]
20825  ],
20826  [
20827  "trapezohedron_decagonal_trapezohedron",
20828  "Decagonal Trapezohedron",
20829  empty_str,
20830  "trapezohedron",
20831  "George W. Hart, 1997. george@li.net",
20832  [
20833  [ 0.08157055488, -0.02508562274, 0.26071794615],
20834  [-0.00298807954, 0.02508563214, 0.27316418436],
20835  [-0.08725421480, -0.02508563451, 0.25887120879],
20836  [-0.00000000660, -0.99999999536, -0.00000000747],
20837  [ 0.21923812649, -0.02508563811, 0.16297927459],
20838  [ 0.15814447884, 0.02508563160, 0.22275080640],
20839  [-0.00000000000, 1.00000000000, -0.00000000000],
20840  [-0.16297928808, 0.02508564700, 0.21923811357],
20841  [-0.22275082301, -0.02508562356, 0.15814446589],
20842  [ 0.27316413424, -0.02508562845, 0.00298807495],
20843  [ 0.25887121980, 0.02508563643, 0.08725421294],
20844  [-0.26071794390, 0.02508563415, 0.08157054936],
20845  [-0.27316412166, -0.02508563048, -0.00298808116],
20846  [ 0.22275080881, -0.02508563042, -0.15814448224],
20847  [ 0.26071794489, 0.02508562885, -0.08157054801],
20848  [-0.25887121794, 0.02508563696, -0.08725420881],
20849  [-0.21923811508, -0.02508563337, -0.16297929533],
20850  [ 0.08725419904, -0.02508564175, -0.25887120317],
20851  [ 0.16297928994, 0.02508562639, -0.21923810944],
20852  [-0.15814447873, 0.02508562100, -0.22275080783],
20853  [-0.08157054158, -0.02508562972, -0.26071793387],
20854  [ 0.00298807400, 0.02508561395, -0.27316415966]
20855  ],
20856  [
20857  [0.27432989509, -17.09438091172, 18.12481356295],
20858  [0.27432989114, 96.79279130227, 5.28383970309],
20859  [0.27432989228, -163.96002773134, 19.32627339448],
20860  [0.99999999536, -90.00000037787, 90.00000042785],
20861  [0.27432989135, -6.52750264244, 53.55152986257],
20862  [0.27432988692, 9.01343241109, 35.71001165929],
20863  [1.00000000000, 89.99999999999, 89.99999999999],
20864  [0.27432988986, 171.24974747226, 36.94842526900],
20865  [0.27432989220, -173.57456962451, 54.79697096798],
20866  [0.27432984085, -5.24695718319, 89.37590650495],
20867  [0.27432990225, 5.53490397494, 71.45417161203],
20868  [0.27432989235, 174.50406060693, 72.70180860768],
20869  [0.27432982858, -174.75304215454, 90.62409482042],
20870  [0.27432989072, -6.42543252564, 125.20303342952],
20871  [0.27432989240, 5.49593821872, 107.29819109356],
20872  [0.27432989923, 174.46509587012, 108.54582768974],
20873  [0.27432989412, -173.47249824405, 126.44847509514],
20874  [0.27432988263, -16.03997941196, 160.67372880945],
20875  [0.27432988578, 8.75024535050, 143.05157442959],
20876  [0.27432988704, 170.98657132818, 144.28998881634],
20877  [0.27432988010, -162.90561198533, 161.87518775511],
20878  [0.27432986483, 83.20721630672, 174.71616371452]
20879  ],
20880  [
20881  [2,1,0,3],
20882  [5,4,3,0],
20883  [6,5,0,1],
20884  [7,6,1,2],
20885  [8,7,2,3],
20886  [10,9,3,4],
20887  [6,10,4,5],
20888  [8,11,6,7],
20889  [12,11,8,3],
20890  [14,13,3,9],
20891  [6,14,9,10],
20892  [12,15,6,11],
20893  [16,15,12,3],
20894  [18,17,3,13],
20895  [6,18,13,14],
20896  [16,19,6,15],
20897  [20,19,16,3],
20898  [21,20,3,17],
20899  [6,21,17,18],
20900  [20,21,6,19]
20901  ],
20902  [
20903  [0,1],
20904  [0,3],
20905  [0,5],
20906  [1,2],
20907  [1,6],
20908  [2,3],
20909  [2,7],
20910  [3,4],
20911  [3,8],
20912  [3,9],
20913  [3,12],
20914  [3,13],
20915  [3,16],
20916  [3,17],
20917  [3,20],
20918  [4,5],
20919  [4,10],
20920  [5,6],
20921  [6,7],
20922  [6,10],
20923  [6,11],
20924  [6,14],
20925  [6,15],
20926  [6,18],
20927  [6,19],
20928  [6,21],
20929  [7,8],
20930  [8,11],
20931  [9,10],
20932  [9,14],
20933  [11,12],
20934  [12,15],
20935  [13,14],
20936  [13,18],
20937  [15,16],
20938  [16,19],
20939  [17,18],
20940  [17,21],
20941  [19,20],
20942  [20,21]
20943  ]
20944  ],
20945  [
20946  "trapezohedron_enneagonal_trapezohedron",
20947  "Enneagonal Trapezohedron",
20948  empty_str,
20949  "trapezohedron",
20950  "George W. Hart, 1997. george@li.net",
20951  [
20952  [ 0.09967569853, -0.03109121041, 0.28700473236],
20953  [-0.00449688147, 0.03109120560, 0.30378732765],
20954  [-0.10812707432, -0.03109120337, 0.28392868530],
20955  [-0.00000000000, -1.00000000000, -0.00000000000],
20956  [ 0.26083909572, -0.03109119912, 0.15578806357],
20957  [ 0.19182591719, 0.03109121011, 0.23560511930],
20958  [ 0.00000000000, 1.00000000000, 0.00000000000],
20959  [-0.19871552184, 0.03109120431, 0.22982403661],
20960  [-0.26533596988, -0.03109120286, 0.14799923301],
20961  [ 0.29995285209, -0.03109119664, -0.04832353760],
20962  [ 0.29839124041, 0.03109120428, 0.05718066821],
20963  [-0.29995285209, 0.03109119664, 0.04832353760],
20964  [-0.29839124041, -0.03109120428, -0.05718066821],
20965  [ 0.19871552184, -0.03109120431, -0.22982403661],
20966  [ 0.26533596988, 0.03109120286, -0.14799923301],
20967  [-0.26083909572, 0.03109119912, -0.15578806357],
20968  [-0.19182591719, -0.03109121011, -0.23560511930],
20969  [ 0.00449688147, -0.03109120560, -0.30378732765],
20970  [ 0.10812707432, 0.03109120337, -0.28392868530],
20971  [-0.09967569853, 0.03109121041, -0.28700473236]
20972  ],
20973  [
20974  [0.30540730941, -17.32393663862, 19.99136596564],
20975  [0.30540731073, 98.22991277939, 5.90398591727],
20976  [0.30540731076, -163.95777128867, 21.61622610532],
20977  [1.00000000000, -89.99999999999, 89.99999999999],
20978  [0.30540729734, -6.79740536654, 59.32955244196],
20979  [0.30540729869, 9.20645860564, 39.51611872633],
20980  [1.00000000000, 89.99999999999, 89.99999999999],
20981  [0.30540728448, 171.10754696024, 41.19115786195],
20982  [0.30540728999, -173.31674427607, 61.01397561204],
20983  [0.30540717128, -5.91778120996, 99.10397657184],
20984  [0.30540730861, 5.94853149631, 79.20896763446],
20985  [0.30540717128, 174.08221879003, 80.89602342815],
20986  [0.30540730861, -174.05146850368, 100.79103236553],
20987  [0.30540728448, -8.89245303975, 138.80884213804],
20988  [0.30540728999, 6.68325572392, 118.98602438795],
20989  [0.30540729734, 173.20259463344, 120.67044755803],
20990  [0.30540729869, -170.79354139435, 140.48388127366],
20991  [0.30540731073, -81.77008722060, 174.09601408272],
20992  [0.30540731076, 16.04222871132, 158.38377389467],
20993  [0.30540730941, 162.67606336137, 160.00863403435]
20994  ],
20995  [
20996  [2,1,0,3],
20997  [5,4,3,0],
20998  [6,5,0,1],
20999  [7,6,1,2],
21000  [8,7,2,3],
21001  [10,9,3,4],
21002  [6,10,4,5],
21003  [8,11,6,7],
21004  [12,11,8,3],
21005  [14,13,3,9],
21006  [6,14,9,10],
21007  [12,15,6,11],
21008  [16,15,12,3],
21009  [18,17,3,13],
21010  [6,18,13,14],
21011  [16,19,6,15],
21012  [17,19,16,3],
21013  [6,19,17,18]
21014  ],
21015  [
21016  [0,1],
21017  [0,3],
21018  [0,5],
21019  [1,2],
21020  [1,6],
21021  [2,3],
21022  [2,7],
21023  [3,4],
21024  [3,8],
21025  [3,9],
21026  [3,12],
21027  [3,13],
21028  [3,16],
21029  [3,17],
21030  [4,5],
21031  [4,10],
21032  [5,6],
21033  [6,7],
21034  [6,10],
21035  [6,11],
21036  [6,14],
21037  [6,15],
21038  [6,18],
21039  [6,19],
21040  [7,8],
21041  [8,11],
21042  [9,10],
21043  [9,14],
21044  [11,12],
21045  [12,15],
21046  [13,14],
21047  [13,18],
21048  [15,16],
21049  [16,19],
21050  [17,18],
21051  [17,19]
21052  ]
21053  ],
21054  [
21055  "trapezohedron_heptagonal_trapezohedron",
21056  "Heptagonal Trapezohedron",
21057  empty_str,
21058  "trapezohedron",
21059  "George W. Hart, 1997. george@li.net",
21060  [
21061  [ 0.15933687369, -0.05209510052, 0.35802671535],
21062  [-0.01178440532, 0.05209506563, 0.39170460464],
21063  [-0.18057162842, -0.05209509977, 0.34780059309],
21064  [ 0.00000000000, -1.00000000000, 0.00000000000],
21065  [ 0.37926145196, -0.05209508876, 0.09865141109],
21066  [ 0.29889951735, 0.05209507083, 0.25343724148],
21067  [-0.00000000000, 1.00000000000, -0.00000000000],
21068  [-0.31359442195, 0.05209507236, 0.23501040648],
21069  [-0.38450602213, -0.05209507830, 0.07567352614],
21070  [ 0.31359442195, -0.05209507236, -0.23501040648],
21071  [ 0.38450602213, 0.05209507830, -0.07567352614],
21072  [-0.37926145196, 0.05209508876, -0.09865141109],
21073  [-0.29889951735, -0.05209507083, -0.25343724148],
21074  [ 0.01178440532, -0.05209506563, -0.39170460464],
21075  [ 0.18057162842, 0.05209509977, -0.34780059309],
21076  [-0.15933687369, 0.05209510052, -0.35802671535]
21077  ],
21078  [
21079  [0.39532931553, -18.10512730588, 25.09015092726],
21080  [0.39532931256, 102.74633327200, 7.76474182503],
21081  [0.39532931205, -163.90709508767, 28.38484324140],
21082  [1.00000000000, -89.99999999999, 89.99999999999],
21083  [0.39532929075, -7.82116460645, 75.54956589793],
21084  [0.39532929722, 9.88674610587, 50.12768809629],
21085  [1.00000000000, 89.99999999999, 89.99999999999],
21086  [0.39532929211, 170.56801928124, 53.52532102116],
21087  [0.39532930678, -172.28422195910, 78.96439512595],
21088  [0.39532929211, -9.43198071875, 126.47467897883],
21089  [0.39532930678, 7.71577804089, 101.03560487404],
21090  [0.39532929075, 172.17883539354, 104.45043410206],
21091  [0.39532929722, -170.11325389411, 129.87231190370],
21092  [0.39532931256, -77.25366672798, 172.23525817496],
21093  [0.39532931205, 16.09290491232, 151.61515675859],
21094  [0.39532931553, 161.89487269411, 154.90984907273]
21095  ],
21096  [
21097  [2,1,0,3],
21098  [5,4,3,0],
21099  [6,5,0,1],
21100  [7,6,1,2],
21101  [8,7,2,3],
21102  [10,9,3,4],
21103  [6,10,4,5],
21104  [8,11,6,7],
21105  [12,11,8,3],
21106  [14,13,3,9],
21107  [6,14,9,10],
21108  [12,15,6,11],
21109  [13,15,12,3],
21110  [6,15,13,14]
21111  ],
21112  [
21113  [0,1],
21114  [0,3],
21115  [0,5],
21116  [1,2],
21117  [1,6],
21118  [2,3],
21119  [2,7],
21120  [3,4],
21121  [3,8],
21122  [3,9],
21123  [3,12],
21124  [3,13],
21125  [4,5],
21126  [4,10],
21127  [5,6],
21128  [6,7],
21129  [6,10],
21130  [6,11],
21131  [6,14],
21132  [6,15],
21133  [7,8],
21134  [8,11],
21135  [9,10],
21136  [9,14],
21137  [11,12],
21138  [12,15],
21139  [13,14],
21140  [13,15]
21141  ]
21142  ],
21143  [
21144  "trapezohedron_hexagonal_trapezohedron",
21145  "Hexagonal Trapezohedron",
21146  empty_str,
21147  "trapezohedron",
21148  "George W. Hart, 1997. george@li.net",
21149  [
21150  [ 0.21077945274, -0.07179671220, 0.40719463133],
21151  [-0.02105696444, 0.07179681426, 0.45803062041],
21152  [-0.24725117903, -0.07179674075, 0.38613767351],
21153  [ 0.00000001746, -1.00000000000, -0.00000001939],
21154  [ 0.45803058721, -0.07179671638, 0.02105695657],
21155  [ 0.38613769213, 0.07179681752, 0.24725117466],
21156  [-0.00000000000, 0.99999999466, -0.00000000000],
21157  [-0.40719463483, 0.07179675601, 0.21077944864],
21158  [-0.45803063391, -0.07179678648, -0.02105696269],
21159  [ 0.24725117677, -0.07179676068, -0.38613770590],
21160  [ 0.40719468018, 0.07179677996, -0.21077948352],
21161  [-0.38613769009, 0.07179672747, -0.24725120767],
21162  [-0.21077946131, -0.07179681703, -0.40719467592],
21163  [ 0.02105695713, 0.07179664363, -0.45803045003]
21164  ],
21165  [
21166  [0.46410151192, -18.81011682832, 28.67176760585],
21167  [0.46410152717, 106.34564790761, 9.27753217454],
21168  [0.46410151952, -163.80777174223, 33.69410290051],
21169  [1.00000000000, -89.99999899976, 90.00000111118],
21170  [0.46410147891, -8.90867366573, 87.39951472962],
21171  [0.46410154456, 10.53305205986, 57.80839267192],
21172  [0.99999999466, 89.99999999999, 89.99999999999],
21173  [0.46410151990, 170.00036088461, 62.98866993565],
21174  [0.46410153612, -171.09131867014, 92.60048570555],
21175  [0.46410154835, -16.19223265656, 146.30589896998],
21176  [0.46410157924, 9.99964129133, 117.01133116296],
21177  [0.46410154652, 169.46696080222, 122.19161199084],
21178  [0.46410157115, -161.18985834971, 151.32823049523],
21179  [0.46410133229, 73.65432069463, 170.72248463514]
21180  ],
21181  [
21182  [2,1,0,3],
21183  [5,4,3,0],
21184  [6,5,0,1],
21185  [7,6,1,2],
21186  [8,7,2,3],
21187  [10,9,3,4],
21188  [6,10,4,5],
21189  [8,11,6,7],
21190  [12,11,8,3],
21191  [13,12,3,9],
21192  [6,13,9,10],
21193  [12,13,6,11]
21194  ],
21195  [
21196  [0,1],
21197  [0,3],
21198  [0,5],
21199  [1,2],
21200  [1,6],
21201  [2,3],
21202  [2,7],
21203  [3,4],
21204  [3,8],
21205  [3,9],
21206  [3,12],
21207  [4,5],
21208  [4,10],
21209  [5,6],
21210  [6,7],
21211  [6,10],
21212  [6,11],
21213  [6,13],
21214  [7,8],
21215  [8,11],
21216  [9,10],
21217  [9,13],
21218  [11,12],
21219  [12,13]
21220  ]
21221  ],
21222  [
21223  "trapezohedron_octagonal_trapezohedron",
21224  "Octagonal Trapezohedron",
21225  empty_str,
21226  "trapezohedron",
21227  "George W. Hart, 1997. george@li.net",
21228  [
21229  [ 0.12440374180, -0.03956610710, 0.31883630933],
21230  [-0.00707929049, 0.03956612081, 0.34217358778],
21231  [-0.13748458654, -0.03956612082, 0.31341805381],
21232  [ 0.00000000328, -0.99999999972, -0.00000000691],
21233  [ 0.31341805431, -0.03956611462, 0.13748458160],
21234  [ 0.23694744249, 0.03956612970, 0.24695906900],
21235  [ 0.00000000000, 1.00000000000, 0.00000000000],
21236  [-0.24695908004, 0.03956613350, 0.23694744807],
21237  [-0.31883629862, -0.03956614368, 0.12440375701],
21238  [ 0.31883630448, -0.03956613242, -0.12440374250],
21239  [ 0.34217360200, 0.03956614317, 0.00707928788],
21240  [-0.34217356974, 0.03956611153, -0.00707929452],
21241  [-0.31341804435, -0.03956612986, -0.13748455659],
21242  [ 0.13748456384, -0.03956610907, -0.31341806002],
21243  [ 0.24695907885, 0.03956612319, -0.23694744766],
21244  [-0.23694744654, 0.03956610486, -0.24695907595],
21245  [-0.12440376449, -0.03956612279, -0.31883631554],
21246  [ 0.00707928976, 0.03956611334, -0.34217359479]
21247  ],
21248  [
21249  [0.34452628340, -17.64305529000, 22.26612222536],
21250  [0.34452628121, 100.14419358069, 6.69971877848],
21251  [0.34452629204, -163.94492938135, 24.53507780455],
21252  [0.99999999972, -89.99999981201, 90.00000039578],
21253  [0.34452628981, -7.19499886627, 66.48094949675],
21254  [0.34452627024, 9.47994070259, 44.20846013907],
21255  [1.00000000000, 89.99999999999, 89.99999999999],
21256  [0.34452628242, 170.89780636105, 46.54785043727],
21257  [0.34452628318, -172.92601715801, 68.83306913392],
21258  [0.34452628207, -7.07398072018, 111.16692834963],
21259  [0.34452629784, 6.59591976996, 88.82260986090],
21260  [0.34452626231, 173.40408484199, 91.17739136390],
21261  [0.34452627252, -172.80499816432, 113.51904721890],
21262  [0.34452628728, -16.05506861288, 155.46492641463],
21263  [0.34452628011, 9.10219134903, 133.45214983518],
21264  [0.34452627515, 170.52006530125, 135.79154067723],
21265  [0.34452629914, -162.35694116392, 157.73387410580],
21266  [0.34452628730, 79.85580556086, 173.30028259374]
21267  ],
21268  [
21269  [2,1,0,3],
21270  [5,4,3,0],
21271  [6,5,0,1],
21272  [7,6,1,2],
21273  [8,7,2,3],
21274  [10,9,3,4],
21275  [6,10,4,5],
21276  [8,11,6,7],
21277  [12,11,8,3],
21278  [14,13,3,9],
21279  [6,14,9,10],
21280  [12,15,6,11],
21281  [16,15,12,3],
21282  [17,16,3,13],
21283  [6,17,13,14],
21284  [16,17,6,15]
21285  ],
21286  [
21287  [0,1],
21288  [0,3],
21289  [0,5],
21290  [1,2],
21291  [1,6],
21292  [2,3],
21293  [2,7],
21294  [3,4],
21295  [3,8],
21296  [3,9],
21297  [3,12],
21298  [3,13],
21299  [3,16],
21300  [4,5],
21301  [4,10],
21302  [5,6],
21303  [6,7],
21304  [6,10],
21305  [6,11],
21306  [6,14],
21307  [6,15],
21308  [6,17],
21309  [7,8],
21310  [8,11],
21311  [9,10],
21312  [9,14],
21313  [11,12],
21314  [12,15],
21315  [13,14],
21316  [13,17],
21317  [15,16],
21318  [16,17]
21319  ]
21320  ],
21321  [
21322  "trapezohedron_pentagonal_trapezohedron",
21323  "Pentagonal Trapezohedron",
21324  empty_str,
21325  "trapezohedron",
21326  "George W. Hart, 1997. george@li.net",
21327  [
21328  [ 0.29061700374, -0.10557280512, 0.47022819599],
21329  [-0.04127909262, 0.10557281662, 0.55124299653],
21330  [-0.35740800281, -0.10557280588, 0.42170170398],
21331  [ 0.00000000000, -1.00000000000, 0.00000000000],
21332  [ 0.53701907744, -0.10557277682, -0.13108468003],
21333  [ 0.51150729951, 0.10557282394, 0.20960220829],
21334  [-0.00000000000, 1.00000000000, -0.00000000000],
21335  [-0.53701907744, 0.10557277682, 0.13108468003],
21336  [-0.51150729951, -0.10557282394, -0.20960220829],
21337  [ 0.04127909262, -0.10557281662, -0.55124299653],
21338  [ 0.35740800281, 0.10557280588, -0.42170170398],
21339  [-0.29061700374, 0.10557280512, -0.47022819599]
21340  ],
21341  [
21342  [0.56277741279, -19.96462853971, 33.32693587180],
21343  [0.56277741988, 111.35555548884, 11.62015183686],
21344  [0.56277742044, -163.54367316283, 41.46828745750],
21345  [1.00000000000, -89.99999999999, 89.99999999999],
21346  [0.56277730416, -11.12196599899, 103.46931672415],
21347  [0.56277741988, 11.66183878548, 68.13367063006],
21348  [1.00000000000, 89.99999999999, 89.99999999999],
21349  [0.56277730416, 168.87803400100, 76.53068327584],
21350  [0.56277741988, -168.33816121451, 111.86632936993],
21351  [0.56277741988, -68.64444451115, 168.37984816312],
21352  [0.56277742044, 16.45632683715, 138.53171254249],
21353  [0.56277741279, 160.03537146028, 146.67306412819]
21354  ],
21355  [
21356  [2,1,0,3],
21357  [5,4,3,0],
21358  [6,5,0,1],
21359  [7,6,1,2],
21360  [8,7,2,3],
21361  [10,9,3,4],
21362  [6,10,4,5],
21363  [8,11,6,7],
21364  [9,11,8,3],
21365  [6,11,9,10]
21366  ],
21367  [
21368  [0,1],
21369  [0,3],
21370  [0,5],
21371  [1,2],
21372  [1,6],
21373  [2,3],
21374  [2,7],
21375  [3,4],
21376  [3,8],
21377  [3,9],
21378  [4,5],
21379  [4,10],
21380  [5,6],
21381  [6,7],
21382  [6,10],
21383  [6,11],
21384  [7,8],
21385  [8,11],
21386  [9,10],
21387  [9,11]
21388  ]
21389  ],
21390  [
21391  "trapezohedron_square_trapezohedron",
21392  "Square Trapezohedron",
21393  empty_str,
21394  "trapezohedron",
21395  "George W. Hart, 1997. george@li.net",
21396  [
21397  [ 0.42339344824, -0.17157294543, 0.55319018257],
21398  [-0.09178014666, 0.17157285464, 0.69054892905],
21399  [-0.55319020733, -0.17157287656, 0.42339344003],
21400  [-0.00000002205, -0.99999998335, -0.00000000805],
21401  [ 0.55319017981, -0.17157290218, -0.42339346671],
21402  [ 0.69054891796, 0.17157284736, 0.09178015628],
21403  [-0.00000000000, 1.00000000000, -0.00000000000],
21404  [-0.69054887577, 0.17157293950, -0.09178015299],
21405  [-0.42339347576, -0.17157283330, -0.55319020925],
21406  [ 0.09178018156, 0.17157289932, -0.69054887093]
21407  ],
21408  [
21409  [0.71743896305, -22.05940926920, 39.55061574902],
21410  [0.71743896130, 118.14383936173, 15.73644755891],
21411  [0.71743896083, -162.76863505583, 53.83265949178],
21412  [0.99999998335, -90.00000126364, 90.00000046134],
21413  [0.71743896148, -17.23136817104, 126.16734310920],
21414  [0.71743895011, 13.95309503880, 82.65015437581],
21415  [1.00000000000, 89.99999999999, 89.99999999999],
21416  [0.71743893111, 166.04689694206, 97.34984555507],
21417  [0.71743897305, -157.94060506039, 140.44938663065],
21418  [0.71743892050, 61.85615778289, 164.26354688847]
21419  ],
21420  [
21421  [2,1,0,3],
21422  [5,4,3,0],
21423  [6,5,0,1],
21424  [7,6,1,2],
21425  [8,7,2,3],
21426  [9,8,3,4],
21427  [6,9,4,5],
21428  [8,9,6,7]
21429  ],
21430  [
21431  [0,1],
21432  [0,3],
21433  [0,5],
21434  [1,2],
21435  [1,6],
21436  [2,3],
21437  [2,7],
21438  [3,4],
21439  [3,8],
21440  [4,5],
21441  [4,9],
21442  [5,6],
21443  [6,7],
21444  [6,9],
21445  [7,8],
21446  [8,9]
21447  ]
21448  ],
21449  [
21450  "trapezohedron_triangular_trapezohedron",
21451  "Triangular Trapezohedron",
21452  "Cube",
21453  "trapezohedron",
21454  "Exact Mathematics",
21455  [
21456  [ 0.00000000000, 1.00000000000, 0.00000000000],
21457  [ 0.00000000000, 0.33333333333, 0.94280904158],
21458  [-0.81649658093, 0.33333333333, -0.47140452079],
21459  [-0.81649658093, -0.33333333333, 0.47140452079],
21460  [ 0.81649658093, 0.33333333333, -0.47140452079],
21461  [ 0.81649658093, -0.33333333333, 0.47140452079],
21462  [-0.00000000000, -0.33333333333, -0.94280904158],
21463  [ 0.00000000000, -1.00000000000, 0.00000000000]
21464  ],
21465  [
21466  [1.00000000000, 89.99999999999, 89.99999999999],
21467  [1.00000000000, 89.99999999999, 19.47122063449],
21468  [1.00000000000, 157.79234570139, 118.12550570205],
21469  [1.00000000000, -157.79234570139, 61.87449429794],
21470  [1.00000000000, 22.20765429859, 118.12550570205],
21471  [1.00000000000, -22.20765429859, 61.87449429794],
21472  [1.00000000000, -89.99999999999, 160.52877936550],
21473  [1.00000000000, -89.99999999999, 89.99999999999]
21474  ],
21475  [
21476  [6,4,0,2],
21477  [5,1,0,4],
21478  [7,5,4,6],
21479  [1,3,2,0],
21480  [3,7,6,2],
21481  [7,3,1,5]
21482  ],
21483  [
21484  [0,1],
21485  [0,2],
21486  [0,4],
21487  [1,3],
21488  [1,5],
21489  [2,3],
21490  [2,6],
21491  [3,7],
21492  [4,5],
21493  [4,6],
21494  [5,7],
21495  [6,7]
21496  ]
21497  ]
21498 ];
21499 
21500 //! @}
21501 //! @}
21502 
21503 //----------------------------------------------------------------------------//
21504 // openscad-amu auxiliary scripts
21505 //----------------------------------------------------------------------------//
21506 
21507 /*
21508 BEGIN_SCOPE db;
21509 BEGIN_SCOPE autotest;
21510  BEGIN_OPENSCAD;
21511  include <omdl-base.scad>;
21512  include <units/coordinate.scad>;
21513  include <tools/polytope.scad>;
21514  include <database/geometry/polyhedra/polyhedra_all.scad>;
21515 
21516  coordinates_positive_angles = false;
21517 
21518  tc = dtc_polyhedra_polyhedra_all;
21519  tr = dtr_polyhedra_polyhedra_all;
21520 
21521  log_echo("checking table: ");
21522  log_echo("colums = dtc_polyhedra_polyhedra_all");
21523  log_echo(" rows = dtr_polyhedra_polyhedra_all");
21524  table_check (tr, tc, verbose=true);
21525 
21526  echo();
21527  log_echo("confirming calculations stored in table:");
21528  log_echo(" (1) spherical with converted cartesian coordinates:");
21529  log_echo(" (2) edge list from faces definition:");
21530 
21531  for ( id = table_get_row_ids( tr ) )
21532  {
21533  c = table_get_value(tr, tc, id, "c");
21534  s = table_get_value(tr, tc, id, "s");
21535  f = table_get_value(tr, tc, id, "f");
21536  e = table_get_value(tr, tc, id, "e");
21537 
21538  // convert stored spherical and compare with cartesian coordinates.
21539  for( i = [0 : len(c)-1] )
21540  {
21541  cc = coordinate(s[i], from="s");
21542 
21543  if ( !almost_eq_nv(c[i], cc) )
21544  {
21545  cs = coordinate(c[i], to="s");
21546 
21547  n = table_get_value(tr, tc, id, "n");
21548  o = table_get_value(tr, tc, id, "o");
21549  g = table_get_value(tr, tc, id, "g");
21550  d = table_get_value(tr, tc, id, "d");
21551 
21552  log_warn("coordinate mismatch");
21553  log_info(str("id=", id,", n=", n, ", o=", o, ", g=", g, ", d=", d));
21554  echo(i=i, dt_c=c[i], c_c=cc, dt_s=s[i], c_s=cs);
21555  }
21556  }
21557 
21558  // re-create sorted edge list and compare with stored.
21559  ce = sort_q2(polytope_faces2edges(f), d=1);
21560 
21561  if ( e != ce )
21562  {
21563  se = sort_q2(e, d=1);
21564  if ( se == ce )
21565  {
21566  log_info(str("edge-list not sorted: id=", id));
21567  }
21568  else
21569  {
21570  n = table_get_value(tr, tc, id, "n");
21571  o = table_get_value(tr, tc, id, "o");
21572  g = table_get_value(tr, tc, id, "g");
21573  d = table_get_value(tr, tc, id, "d");
21574 
21575  log_warn("edge-list mismatch");
21576  log_info(str("id=", id,", n=", n, ", o=", o, ", g=", g, ", d=", d));
21577  echo(l=len(e), dt_e=e);
21578  echo(l=len(se), st_e=se);
21579  echo(l=len(ce), cl_e=ce);
21580  }
21581  }
21582  }
21583 
21584  echo();
21585  log_echo(str(table_get_size(tr)," polyhedra checked."));
21586 
21587  END_OPENSCAD;
21588 
21589  BEGIN_MFSCRIPT;
21590  include --path "${INCLUDE_PATH}" {var_init,var_gen_term}.mfs;
21591  include --path "${INCLUDE_PATH}" scr_make_mf.mfs;
21592  END_MFSCRIPT;
21593 END_SCOPE;
21594 END_SCOPE;
21595 */
21596 
21597 //----------------------------------------------------------------------------//
21598 // end of file
21599 //----------------------------------------------------------------------------//
empty_str
empty_str
<string> A string with no characters (the empty string).
Definition: constants.scad:301
dtr_polyhedra_polyhedra_all
dtr_polyhedra_polyhedra_all
Definition: polyhedra_all.scad:149
dtc_polyhedra_polyhedra_all
dtc_polyhedra_polyhedra_all
Definition: polyhedra_all.scad:134