omdl  v0.6.1
OpenSCAD Mechanical Design Library
polyhedra_all.scad
Go to the documentation of this file.
1 //! Table of polyhedra data group: \c polyhedra_all
2 /***************************************************************************//**
3  \file polyhedra_all.scad
4  \author Roy Allen Sutton
5  \date 2017
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  \note Include this library file using the \b include statement.
42 
43  [omdl]: https://github.com/royasutton/omdl
44 
45  [Anthony Thyssen]: http://www.ict.griffith.edu.au/anthony/anthony.html
46  [Studies into Polyhedra]: http://www.ict.griffith.edu.au/anthony/graphics/polyhedra
47  [Exact Mathematics]: http://www.ict.griffith.edu.au/anthony/graphics/polyhedra/maths.shtml
48 
49  [George W. Hart]: http://www.georgehart.com
50  [Encyclopedia of Polyhedra]: http://www.georgehart.com/virtual-polyhedra/vp.html
51 
52  [Netlib]: http://www.netlib.org
53  [Polyhedron Database]: http://www.netlib.org/polyhedra
54 
55  \ingroup database_polyhedra
56 *******************************************************************************/
57 
58 //----------------------------------------------------------------------------//
59 /***************************************************************************//**
60  \addtogroup database_geometry
61  @{
62 
63  \defgroup database_polyhedra 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  | feild | 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 get_table_v() to retrieve feild data as show in
86  the following example. To see a list of table identifiers consider
87  the function get_table_ridl(), get_table_cidl(), or module
88  table_dump(). See datatypes_table.scad for other available table
89  functions.
90 
91  \b Example
92  \code{.C}
93  include <units/units_coordinate.scad>;
94  include <tools/tools_polytope.scad>;
95  include <datatypes/datatypes_table.scad>;
96  include <database/geometry/polyhedra/platonic.scad>;
97 
98  tc = dtc_polyhedra_platonic;
99  tr = dtr_polyhedra_platonic;
100 
101  id = "dodecahedron";
102 
103  pv = get_table_v(tr, tc, id, "c");
104  pf = get_table_v(tr, tc, id, "f");
105 
106  sv = coordinates_csc(pv, 100);
107 
108  polytope_number(sv, pf, to=[0,0,5]);
109  polytope_frame(sv, pf) {circle(r=2); color("grey") sphere(r=4);}
110  polyhedron(sv, pf);
111  \endcode
112 
113  \b Autotests \include polyhedra_all_db_autotest.log
114 
115  For more information see Wikipedia on [Polyhedron].
116 
117  [Polyhedron]: https://en.wikipedia.org/wiki/Polyhedron
118 
119  @{
120 *******************************************************************************/
121 //----------------------------------------------------------------------------//
122 
123 //! <matrix-2x9> \c polyhedra_all polyhedra data table columns definition.
124 //! \hideinitializer
125 dtc_polyhedra_polyhedra_all =
126 [
127  ["id", "identifier"],
128  ["n", "name"],
129  ["o", "other name"],
130  ["g", "group"],
131  ["d", "data source"],
132  ["c", "cartesian vertices"],
133  ["s", "spherical vertices"],
134  ["f", "faces"],
135  ["e", "edges"]
136 ];
137 
138 //! <matrix-9xR> \c polyhedra_all polyhedra data table rows.
139 //! \hideinitializer
140 dtr_polyhedra_polyhedra_all =
141 [
142  [
143  "anti_prisms_decagonal_antiprism",
144  "Decagonal Antiprism",
145  empty_str,
146  "anti_prisms",
147  "Polyhedron Database #31",
148  [
149  [-0.96627614511, 0.25750808025, 0.00000000000],
150  [-0.91898322435, -0.25750808025, 0.29859575010],
151  [-0.91898322435, -0.25750808025, -0.29859575010],
152  [-0.78173382265, 0.25750808025, 0.56796286774],
153  [-0.78173382265, 0.25750808025, -0.56796286774],
154  [-0.56796286774, -0.25750808025, 0.78173382265],
155  [-0.56796286774, -0.25750808025, -0.78173382265],
156  [-0.29859575010, 0.25750808025, 0.91898322435],
157  [-0.29859575010, 0.25750808025, -0.91898322435],
158  [ 0.00000000000, -0.25750808025, 0.96627614511],
159  [-0.00000000000, -0.25750808025, -0.96627614511],
160  [ 0.29859575010, 0.25750808025, 0.91898322435],
161  [ 0.29859575010, 0.25750808025, -0.91898322435],
162  [ 0.56796286774, -0.25750808025, 0.78173382265],
163  [ 0.56796286774, -0.25750808025, -0.78173382265],
164  [ 0.78173382265, 0.25750808025, 0.56796286774],
165  [ 0.78173382265, 0.25750808025, -0.56796286774],
166  [ 0.91898322435, -0.25750808025, 0.29859575010],
167  [ 0.91898322435, -0.25750808025, -0.29859575010],
168  [ 0.96627614511, 0.25750808025, 0.00000000000]
169  ],
170  [
171  [1.00000000000, 165.07774833349, 89.99999999998],
172  [1.00000000000, -164.34660886021, 72.62671986748],
173  [1.00000000000, -164.34660886022, 107.37328013251],
174  [1.00000000000, 161.76778911692, 55.39170785296],
175  [1.00000000000, 161.76778911692, 124.60829214706],
176  [1.00000000000, -155.61098626194, 38.58040216792],
177  [1.00000000000, -155.61098626190, 141.41959783208],
178  [1.00000000000, 139.22561430131, 23.22211397117],
179  [1.00000000000, 139.22561430129, 156.77788602884],
180  [1.00000000000, -89.99999999999, 14.92225166649],
181  [1.00000000000, -90.00000000002, 165.07774833348],
182  [1.00000000000, 40.77438569868, 23.22211397117],
183  [1.00000000000, 40.77438569868, 156.77788602883],
184  [1.00000000000, -24.38901373808, 38.58040216789],
185  [1.00000000000, -24.38901373808, 141.41959783206],
186  [1.00000000000, 18.23221088306, 55.39170785296],
187  [1.00000000000, 18.23221088307, 124.60829214706],
188  [1.00000000000, -15.65339113976, 72.62671986755],
189  [1.00000000000, -15.65339113978, 107.37328013249],
190  [1.00000000000, 14.92225166649, 89.99999999998]
191  ],
192  [
193  [13,17,18,14,10,6,2,1,5,9],
194  [3,0,4,8,12,16,19,15,11,7],
195  [8,10,12],
196  [6,10,8],
197  [4,6,8],
198  [2,6,4],
199  [0,2,4],
200  [1,2,0],
201  [3,1,0],
202  [5,1,3],
203  [7,5,3],
204  [9,5,7],
205  [11,9,7],
206  [13,9,11],
207  [15,13,11],
208  [17,13,15],
209  [19,17,15],
210  [18,17,19],
211  [16,18,19],
212  [14,18,16],
213  [12,14,16],
214  [10,14,12]
215  ],
216  [
217  [0,1],
218  [0,2],
219  [0,3],
220  [0,4],
221  [1,2],
222  [1,3],
223  [1,5],
224  [2,4],
225  [2,6],
226  [3,5],
227  [3,7],
228  [4,6],
229  [4,8],
230  [5,7],
231  [5,9],
232  [6,8],
233  [6,10],
234  [7,9],
235  [7,11],
236  [8,10],
237  [8,12],
238  [9,11],
239  [9,13],
240  [10,12],
241  [10,14],
242  [11,13],
243  [11,15],
244  [12,14],
245  [12,16],
246  [13,15],
247  [13,17],
248  [14,16],
249  [14,18],
250  [15,17],
251  [15,19],
252  [16,18],
253  [16,19],
254  [17,18],
255  [17,19],
256  [18,19]
257  ]
258  ],
259  [
260  "anti_prisms_hexagonal_antiprism",
261  "Hexagonal Antiprism",
262  empty_str,
263  "anti_prisms",
264  "Polyhedron Database #29",
265  [
266  [-0.91940168676, 0.39331989319, -0.00000000000],
267  [-0.79622521702, -0.39331989319, 0.45970084338],
268  [-0.79622521702, -0.39331989319, -0.45970084338],
269  [-0.45970084338, 0.39331989319, 0.79622521702],
270  [-0.45970084338, 0.39331989319, -0.79622521702],
271  [ 0.00000000000, -0.39331989319, 0.91940168676],
272  [ 0.00000000000, -0.39331989319, -0.91940168676],
273  [ 0.45970084338, 0.39331989319, 0.79622521702],
274  [ 0.45970084338, 0.39331989319, -0.79622521702],
275  [ 0.79622521702, -0.39331989319, 0.45970084338],
276  [ 0.79622521702, -0.39331989319, -0.45970084338],
277  [ 0.91940168676, 0.39331989319, -0.00000000000]
278  ],
279  [
280  [1.00000000000, 156.83876877392, 90.00000000002],
281  [1.00000000000, -153.71151678612, 62.63219484139],
282  [1.00000000000, -153.71151678612, 117.36780515857],
283  [1.00000000000, 139.44971443987, 37.22886588833],
284  [1.00000000000, 139.44971443986, 142.77113411166],
285  [1.00000000000, -89.99999999999, 23.16123122606],
286  [1.00000000000, -89.99999999995, 156.83876877393],
287  [1.00000000000, 40.55028556012, 37.22886588833],
288  [1.00000000000, 40.55028556011, 142.77113411165],
289  [1.00000000000, -26.28848321388, 62.63219484133],
290  [1.00000000000, -26.28848321388, 117.36780515864],
291  [1.00000000000, 23.16123122606, 90.00000000002]
292  ],
293  [
294  [9,10,6,2,1,5],
295  [0,4,8,11,7,3],
296  [4,6,8],
297  [2,6,4],
298  [0,2,4],
299  [1,2,0],
300  [3,1,0],
301  [5,1,3],
302  [7,5,3],
303  [9,5,7],
304  [11,9,7],
305  [10,9,11],
306  [8,10,11],
307  [6,10,8]
308  ],
309  [
310  [0,1],
311  [0,2],
312  [0,3],
313  [0,4],
314  [1,2],
315  [1,3],
316  [1,5],
317  [2,4],
318  [2,6],
319  [3,5],
320  [3,7],
321  [4,6],
322  [4,8],
323  [5,7],
324  [5,9],
325  [6,8],
326  [6,10],
327  [7,9],
328  [7,11],
329  [8,10],
330  [8,11],
331  [9,10],
332  [9,11],
333  [10,11]
334  ]
335  ],
336  [
337  "anti_prisms_octagonal_antiprism",
338  "Octagonal Antiprism",
339  empty_str,
340  "anti_prisms",
341  "Polyhedron Database #30",
342  [
343  [-0.94984865176, -0.31270999145, -0.00000000000],
344  [-0.87754572834, 0.31270999145, 0.36349134228],
345  [-0.87754572834, 0.31270999145, -0.36349134228],
346  [-0.67164442276, -0.31270999145, 0.67164442276],
347  [-0.67164442276, -0.31270999145, -0.67164442276],
348  [-0.36349134228, 0.31270999145, 0.87754572834],
349  [-0.36349134228, 0.31270999145, -0.87754572834],
350  [-0.00000000000, -0.31270999145, 0.94984865176],
351  [-0.00000000000, -0.31270999145, -0.94984865176],
352  [ 0.36349134228, 0.31270999145, 0.87754572834],
353  [ 0.36349134228, 0.31270999145, -0.87754572834],
354  [ 0.67164442276, -0.31270999145, 0.67164442276],
355  [ 0.67164442276, -0.31270999145, -0.67164442276],
356  [ 0.87754572834, 0.31270999145, 0.36349134228],
357  [ 0.87754572834, 0.31270999145, -0.36349134228],
358  [ 0.94984865176, -0.31270999145, -0.00000000000]
359  ],
360  [
361  [1.00000000000, -161.77737671140, 90.00000000004],
362  [1.00000000000, 160.38667322856, 68.68523321433],
363  [1.00000000000, 160.38667322856, 111.31476678565],
364  [1.00000000000, -155.03384957250, 47.80589064816],
365  [1.00000000000, -155.03384957249, 132.19410935186],
366  [1.00000000000, 139.29473544049, 28.65229139610],
367  [1.00000000000, 139.29473544048, 151.34770860390],
368  [1.00000000000, -90.00000000001, 18.22262328859],
369  [1.00000000000, -90.00000000001, 161.77737671138],
370  [1.00000000000, 40.70526455950, 28.65229139610],
371  [1.00000000000, 40.70526455950, 151.34770860390],
372  [1.00000000000, -24.96615042747, 47.80589064819],
373  [1.00000000000, -24.96615042752, 132.19410935182],
374  [1.00000000000, 19.61332677143, 68.68523321432],
375  [1.00000000000, 19.61332677143, 111.31476678565],
376  [1.00000000000, -18.22262328858, 90.00000000001]
377  ],
378  [
379  [11,15,12,8,4,0,3,7],
380  [1,2,6,10,14,13,9,5],
381  [6,8,10],
382  [4,8,6],
383  [2,4,6],
384  [0,4,2],
385  [1,0,2],
386  [3,0,1],
387  [5,3,1],
388  [7,3,5],
389  [9,7,5],
390  [11,7,9],
391  [13,11,9],
392  [15,11,13],
393  [14,15,13],
394  [12,15,14],
395  [10,12,14],
396  [8,12,10]
397  ],
398  [
399  [0,1],
400  [0,2],
401  [0,3],
402  [0,4],
403  [1,2],
404  [1,3],
405  [1,5],
406  [2,4],
407  [2,6],
408  [3,5],
409  [3,7],
410  [4,6],
411  [4,8],
412  [5,7],
413  [5,9],
414  [6,8],
415  [6,10],
416  [7,9],
417  [7,11],
418  [8,10],
419  [8,12],
420  [9,11],
421  [9,13],
422  [10,12],
423  [10,14],
424  [11,13],
425  [11,15],
426  [12,14],
427  [12,15],
428  [13,14],
429  [13,15],
430  [14,15]
431  ]
432  ],
433  [
434  "anti_prisms_pentagonal_antiprism",
435  "Pentagonal Antiprism",
436  empty_str,
437  "anti_prisms",
438  "Polyhedron Database #28",
439  [
440  [ 0.85065080835, -0.44721359550, -0.27639320225],
441  [ 0.85065080835, 0.44721359550, 0.27639320225],
442  [ 0.52573111212, 0.44721359550, -0.72360679775],
443  [ 0.52573111212, -0.44721359550, 0.72360679775],
444  [ 0.00000000000, -0.44721359550, -0.89442719100],
445  [ 0.00000000000, 0.44721359550, 0.89442719100],
446  [-0.52573111212, 0.44721359550, -0.72360679775],
447  [-0.52573111212, -0.44721359550, 0.72360679775],
448  [-0.85065080835, -0.44721359550, -0.27639320225],
449  [-0.85065080835, 0.44721359550, 0.27639320225]
450  ],
451  [
452  [1.00000000000, -27.73230144776, 106.04505713536],
453  [1.00000000000, 27.73230144775, 73.95494286463],
454  [1.00000000000, 40.38617755921, 136.35307289117],
455  [1.00000000000, -40.38617755920, 43.64692710879],
456  [1.00000000000, -89.99999999998, 153.43494882290],
457  [1.00000000000, 89.99999999997, 26.56505117711],
458  [1.00000000000, 139.61382244076, 136.35307289118],
459  [1.00000000000, -139.61382244074, 43.64692710885],
460  [1.00000000000, -152.26769855227, 106.04505713531],
461  [1.00000000000, 152.26769855223, 73.95494286462]
462  ],
463  [
464  [7,3,0,4,8],
465  [1,5,9,6,2],
466  [1,3,5],
467  [0,3,1],
468  [2,0,1],
469  [4,0,2],
470  [6,4,2],
471  [8,4,6],
472  [9,8,6],
473  [7,8,9],
474  [5,7,9],
475  [3,7,5]
476  ],
477  [
478  [0,1],
479  [0,2],
480  [0,3],
481  [0,4],
482  [1,2],
483  [1,3],
484  [1,5],
485  [2,4],
486  [2,6],
487  [3,5],
488  [3,7],
489  [4,6],
490  [4,8],
491  [5,7],
492  [5,9],
493  [6,8],
494  [6,9],
495  [7,8],
496  [7,9],
497  [8,9]
498  ]
499  ],
500  [
501  "anti_prisms_square_antiprism",
502  "Square Antiprism",
503  empty_str,
504  "anti_prisms",
505  "Polyhedron Database #27",
506  [
507  [-0.85953250377, -0.51108108453, -0.00000000000],
508  [-0.60778126207, 0.51108108453, 0.60778126207],
509  [-0.60778126207, 0.51108108453, -0.60778126206],
510  [ 0.00000000000, -0.51108108453, 0.85953250377],
511  [ 0.00000000000, -0.51108108453, -0.85953250377],
512  [ 0.60778126207, 0.51108108453, 0.60778126207],
513  [ 0.60778126207, 0.51108108453, -0.60778126206],
514  [ 0.85953250377, -0.51108108453, -0.00000000000]
515  ],
516  [
517  [1.00000000000, -149.26413289761, 90.00000000002],
518  [1.00000000000, 139.93964097361, 52.57075390722],
519  [1.00000000000, 139.93964097360, 127.42924609275],
520  [1.00000000000, -89.99999999999, 30.73586710238],
521  [1.00000000000, -89.99999999998, 149.26413289761],
522  [1.00000000000, 40.06035902638, 52.57075390722],
523  [1.00000000000, 40.06035902638, 127.42924609274],
524  [1.00000000000, -30.73586710238, 90.00000000002]
525  ],
526  [
527  [7,4,0,3],
528  [2,6,5,1],
529  [2,4,6],
530  [0,4,2],
531  [1,0,2],
532  [3,0,1],
533  [5,3,1],
534  [7,3,5],
535  [6,7,5],
536  [4,7,6]
537  ],
538  [
539  [0,1],
540  [0,2],
541  [0,3],
542  [0,4],
543  [1,2],
544  [1,3],
545  [1,5],
546  [2,4],
547  [2,6],
548  [3,5],
549  [3,7],
550  [4,6],
551  [4,7],
552  [5,6],
553  [5,7],
554  [6,7]
555  ]
556  ],
557  [
558  "anti_prisms_triangular_antiprism",
559  "Triangular Antiprism",
560  "Octahedron",
561  "anti_prisms",
562  "Exact Mathematics",
563  [
564  [-0.70710678119, 0.57735026919, -0.40824829046],
565  [ 0.00000000000, 0.57735026919, 0.81649658093],
566  [ 0.70710678119, 0.57735026919, -0.40824829046],
567  [-0.70710678119, -0.57735026919, 0.40824829046],
568  [ 0.00000000000, -0.57735026919, -0.81649658093],
569  [ 0.70710678119, -0.57735026919, 0.40824829046]
570  ],
571  [
572  [1.00000000000, 140.76847951640, 114.09484255210],
573  [1.00000000000, 89.99999999999, 35.26438968275],
574  [1.00000000000, 39.23152048359, 114.09484255210],
575  [1.00000000000, -140.76847951640, 65.90515744789],
576  [1.00000000000, -89.99999999999, 144.73561031724],
577  [1.00000000000, -39.23152048359, 65.90515744789]
578  ],
579  [
580  [1,0,2],
581  [0,1,3],
582  [5,1,2],
583  [1,5,3],
584  [4,0,3],
585  [0,4,2],
586  [4,5,2],
587  [5,4,3]
588  ],
589  [
590  [0,1],
591  [0,2],
592  [0,3],
593  [0,4],
594  [1,2],
595  [1,3],
596  [2,4],
597  [3,4],
598  [1,5],
599  [2,5],
600  [3,5],
601  [4,5]
602  ]
603  ],
604  [
605  "archimedean_duals_disdyakis_dodecahedron",
606  "Disdyakis-Dodecahedron",
607  "Hexakis-Octahedron",
608  "archimedean_duals",
609  "Exact Mathematics",
610  [
611  [ 0.00000000000, 0.00000000000, 1.00000000000],
612  [ 0.70710678119, 0.00000000000, 0.70710678119],
613  [ 0.00000000000, 0.70710678119, 0.70710678119],
614  [-0.70710678119, 0.00000000000, 0.70710678119],
615  [ 0.00000000000, -0.70710678119, 0.70710678119],
616  [ 0.57735026919, 0.57735026919, 0.57735026919],
617  [-0.57735026919, 0.57735026919, 0.57735026919],
618  [-0.57735026919, -0.57735026919, 0.57735026919],
619  [ 0.57735026919, -0.57735026919, 0.57735026919],
620  [ 1.00000000000, 0.00000000000, 0.00000000000],
621  [ 0.70710678119, 0.70710678119, 0.00000000000],
622  [ 0.00000000000, 1.00000000000, 0.00000000000],
623  [-0.70710678119, 0.70710678119, 0.00000000000],
624  [-1.00000000000, 0.00000000000, 0.00000000000],
625  [-0.70710678119, -0.70710678119, 0.00000000000],
626  [ 0.00000000000, -1.00000000000, 0.00000000000],
627  [ 0.70710678119, -0.70710678119, 0.00000000000],
628  [ 0.57735026919, 0.57735026919, -0.57735026919],
629  [-0.57735026919, 0.57735026919, -0.57735026919],
630  [-0.57735026919, -0.57735026919, -0.57735026919],
631  [ 0.57735026919, -0.57735026919, -0.57735026919],
632  [ 0.70710678119, 0.00000000000, -0.70710678119],
633  [ 0.00000000000, 0.70710678119, -0.70710678119],
634  [-0.70710678119, 0.00000000000, -0.70710678119],
635  [ 0.00000000000, -0.70710678119, -0.70710678119],
636  [ 0.00000000000, 0.00000000000, -1.00000000000]
637  ],
638  [
639  [1.00000000000, 0.00000000000, 0.00000000000],
640  [1.00000000000, 0.00000000000, 45.00000000000],
641  [1.00000000000, 89.99999999999, 45.00000000000],
642  [1.00000000000, 179.99999999999, 45.00000000000],
643  [1.00000000000, -89.99999999999, 45.00000000000],
644  [1.00000000000, 45.00000000000, 54.73561031724],
645  [1.00000000000, 134.99999999999, 54.73561031724],
646  [1.00000000000, -134.99999999999, 54.73561031724],
647  [1.00000000000, -45.00000000000, 54.73561031724],
648  [1.00000000000, 0.00000000000, 89.99999999999],
649  [1.00000000000, 45.00000000000, 89.99999999999],
650  [1.00000000000, 89.99999999999, 89.99999999999],
651  [1.00000000000, 134.99999999999, 89.99999999999],
652  [1.00000000000, 179.99999999999, 89.99999999999],
653  [1.00000000000, -134.99999999999, 89.99999999999],
654  [1.00000000000, -89.99999999999, 89.99999999999],
655  [1.00000000000, -45.00000000000, 89.99999999999],
656  [1.00000000000, 45.00000000000, 125.26438968275],
657  [1.00000000000, 134.99999999999, 125.26438968275],
658  [1.00000000000, -134.99999999999, 125.26438968275],
659  [1.00000000000, -45.00000000000, 125.26438968275],
660  [1.00000000000, 0.00000000000, 134.99999999999],
661  [1.00000000000, 89.99999999999, 134.99999999999],
662  [1.00000000000, 179.99999999999, 134.99999999999],
663  [1.00000000000, -89.99999999999, 134.99999999999],
664  [1.00000000000, 0.00000000000, 179.99999999999]
665  ],
666  [
667  [6,3,13],
668  [3,6,0],
669  [1,5,9],
670  [5,1,0],
671  [6,2,0],
672  [2,5,0],
673  [2,6,11],
674  [5,2,11],
675  [23,18,13],
676  [18,23,25],
677  [12,6,13],
678  [18,12,13],
679  [6,12,11],
680  [12,18,11],
681  [17,21,9],
682  [21,17,25],
683  [5,10,9],
684  [10,17,9],
685  [10,5,11],
686  [17,10,11],
687  [22,18,25],
688  [17,22,25],
689  [18,22,11],
690  [22,17,11],
691  [7,3,0],
692  [3,7,13],
693  [4,7,0],
694  [7,4,15],
695  [7,14,13],
696  [14,7,15],
697  [23,19,25],
698  [19,14,15],
699  [19,23,13],
700  [14,19,13],
701  [1,8,0],
702  [8,4,0],
703  [8,1,9],
704  [16,8,9],
705  [8,16,15],
706  [4,8,15],
707  [19,24,25],
708  [24,19,15],
709  [21,20,9],
710  [20,16,9],
711  [20,21,25],
712  [24,20,25],
713  [16,20,15],
714  [20,24,15]
715  ],
716  [
717  [0,1],
718  [0,2],
719  [0,3],
720  [0,4],
721  [0,5],
722  [0,6],
723  [0,7],
724  [0,8],
725  [1,5],
726  [1,8],
727  [1,9],
728  [2,5],
729  [2,6],
730  [2,11],
731  [3,6],
732  [3,7],
733  [3,13],
734  [4,7],
735  [4,8],
736  [4,15],
737  [5,9],
738  [5,10],
739  [5,11],
740  [6,11],
741  [6,12],
742  [6,13],
743  [7,13],
744  [7,14],
745  [7,15],
746  [8,9],
747  [8,15],
748  [8,16],
749  [9,10],
750  [9,16],
751  [9,17],
752  [9,20],
753  [9,21],
754  [10,11],
755  [10,17],
756  [11,12],
757  [11,17],
758  [11,18],
759  [11,22],
760  [12,13],
761  [12,18],
762  [13,14],
763  [13,18],
764  [13,19],
765  [13,23],
766  [14,15],
767  [14,19],
768  [15,16],
769  [15,19],
770  [15,20],
771  [15,24],
772  [16,20],
773  [17,21],
774  [17,22],
775  [17,25],
776  [18,22],
777  [18,23],
778  [18,25],
779  [19,23],
780  [19,24],
781  [19,25],
782  [20,21],
783  [20,24],
784  [20,25],
785  [21,25],
786  [22,25],
787  [23,25],
788  [24,25]
789  ]
790  ],
791  [
792  "archimedean_duals_disdyakis_triacontahedron",
793  "Disdyakis-Triacontahedron",
794  "Hexakis-Icosahedron",
795  "archimedean_duals",
796  "George W. Hart, 1997. george@li.net",
797  [
798  [-0.50445781003, 0.85823482728, -0.16390828497],
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802  [ 0.00000000000, 1.09544514122, 0.00000000000],
803  [-0.50445778133, 0.53041832127, -0.69432657505],
804  [-0.81622979173, 0.53041830040, 0.26520912954],
805  [ 0.00000001518, 0.85823486838, -0.53041833095],
806  [-0.59321946723, 0.19274867602, -0.81649654739],
807  [ 0.00000000000, 0.48989795293, -0.97979595711],
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809  [-0.95984929502, 0.19274875966, 0.31187389294],
810  [-0.57590958810, 0.48989797384, 0.79267156652],
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812  [-0.81622981643, 0.00000002808, -0.59302572359],
813  [ 0.00000000558, 0.81649664218, 0.62374790189],
814  [-1.00891555440, 0.00000005159, -0.00000002191],
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816  [-0.31177210334, 0.00000001596, -0.95953570176],
817  [-0.95984928118, -0.19274864408, -0.31187392864],
818  [-0.57590955558, -0.48989798773, -0.79267154078],
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838  [-0.50445777307, -0.53041826968, 0.69432655314],
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930  [4,3,0],
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1000  [36,43,29],
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1007  [44,38,37],
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1044  [61,54,58],
1045  [54,61,60]
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1070  [4,10],
1071  [4,13],
1072  [4,15],
1073  [4,17],
1074  [4,21],
1075  [4,25],
1076  [5,8],
1077  [5,9],
1078  [6,11],
1079  [6,12],
1080  [7,9],
1081  [7,13],
1082  [8,9],
1083  [8,14],
1084  [8,18],
1085  [8,20],
1086  [9,13],
1087  [9,18],
1088  [9,24],
1089  [9,27],
1090  [9,31],
1091  [9,32],
1092  [10,12],
1093  [10,15],
1094  [11,12],
1095  [11,16],
1096  [11,22],
1097  [11,23],
1098  [12,15],
1099  [12,22],
1100  [12,28],
1101  [12,30],
1102  [12,34],
1103  [12,35],
1104  [13,17],
1105  [13,24],
1106  [13,26],
1107  [14,19],
1108  [14,20],
1109  [15,21],
1110  [15,28],
1111  [15,29],
1112  [16,19],
1113  [16,23],
1114  [17,25],
1115  [17,26],
1116  [18,20],
1117  [18,27],
1118  [19,20],
1119  [19,23],
1120  [19,33],
1121  [20,27],
1122  [20,33],
1123  [20,37],
1124  [20,39],
1125  [20,44],
1126  [20,45],
1127  [21,25],
1128  [21,29],
1129  [22,23],
1130  [22,30],
1131  [23,30],
1132  [23,33],
1133  [23,39],
1134  [23,40],
1135  [23,47],
1136  [23,48],
1137  [24,26],
1138  [24,31],
1139  [25,26],
1140  [25,29],
1141  [25,36],
1142  [26,31],
1143  [26,36],
1144  [26,42],
1145  [26,43],
1146  [26,49],
1147  [26,50],
1148  [27,32],
1149  [27,37],
1150  [27,38],
1151  [28,29],
1152  [28,34],
1153  [29,34],
1154  [29,36],
1155  [29,43],
1156  [29,46],
1157  [29,52],
1158  [29,53],
1159  [30,35],
1160  [30,40],
1161  [30,41],
1162  [31,32],
1163  [31,38],
1164  [31,42],
1165  [32,38],
1166  [33,39],
1167  [34,35],
1168  [34,41],
1169  [34,46],
1170  [35,41],
1171  [36,43],
1172  [37,38],
1173  [37,44],
1174  [38,42],
1175  [38,44],
1176  [38,49],
1177  [38,55],
1178  [38,57],
1179  [38,58],
1180  [39,45],
1181  [39,48],
1182  [39,51],
1183  [40,41],
1184  [40,47],
1185  [41,46],
1186  [41,47],
1187  [41,52],
1188  [41,56],
1189  [41,59],
1190  [41,60],
1191  [42,49],
1192  [43,50],
1193  [43,53],
1194  [43,54],
1195  [44,45],
1196  [44,51],
1197  [44,55],
1198  [45,51],
1199  [46,52],
1200  [47,48],
1201  [47,51],
1202  [47,56],
1203  [48,51],
1204  [49,50],
1205  [49,54],
1206  [49,57],
1207  [50,54],
1208  [51,55],
1209  [51,56],
1210  [51,58],
1211  [51,60],
1212  [51,61],
1213  [52,53],
1214  [52,54],
1215  [52,59],
1216  [53,54],
1217  [54,57],
1218  [54,58],
1219  [54,59],
1220  [54,60],
1221  [54,61],
1222  [55,58],
1223  [56,60],
1224  [57,58],
1225  [58,61],
1226  [59,60],
1227  [60,61]
1228  ]
1229  ],
1230  [
1231  "archimedean_duals_kite_hexecontahedron",
1232  "Kite Hexecontahedron",
1233  empty_str,
1234  "archimedean_duals",
1235  "George W. Hart, 1997. george@li.net",
1236  [
1237  [ 0.31751071895, 0.00000000340, 0.97719758819],
1238  [ 0.00000001127, 0.18926497122, 0.99100426972],
1239  [-0.31751074542, -0.00000003162, 0.97719756131],
1240  [ 0.00000000000, -0.47140450895, 0.94280907941],
1241  [ 0.51374312445, -0.54018153041, 0.70710681970],
1242  [ 0.58249766001, -0.18926493753, 0.80173929639],
1243  [ 0.55416926303, 0.47140450330, 0.76274852191],
1244  [-0.00000005975, 0.54018152913, 0.87403204499],
1245  [-0.55416932145, 0.47140454384, 0.76274848242],
1246  [-0.58249771487, -0.18926492629, 0.80173925260],
1247  [-0.51374316338, -0.54018151801, 0.70710678126],
1248  [ 0.83125389314, -0.00000002527, 0.60394129932],
1249  [ 0.89666469792, -0.47140454470, 0.29134409404],
1250  [-0.00000004010, -0.87403202745, 0.54018149056],
1251  [ 0.36000332522, -0.80173921652, 0.49550210795],
1252  [ 0.31751075905, 0.87403203813, 0.43701599790],
1253  [-0.00000006329, 0.80173927623, 0.61247427683],
1254  [-0.83125394207, 0.00000000773, 0.60394123806],
1255  [-0.31751078833, 0.87403205872, 0.43701597508],
1256  [-0.36000339413, -0.80173930908, 0.49550207363],
1257  [-0.89666468978, -0.47140453296, 0.29134402622],
1258  [ 0.94250097679, 0.18926497873, 0.30623723192],
1259  [ 0.83125388233, 0.54018152140, 0.27009080693],
1260  [ 0.51374313409, -0.87403206340, 0.16692530143],
1261  [ 1.02748628783, -0.00000001240, 0.00000003844],
1262  [ 0.00000000000, -1.05409255675, 0.00000000000],
1263  [ 0.58249766471, 0.80173926315, 0.18926500599],
1264  [ 0.00000000000, 1.05409255675, 0.00000000000],
1265  [-0.83125378687, 0.54018144318, 0.27009073756],
1266  [-0.94250106167, 0.18926498020, 0.30623715984],
1267  [-0.58249771017, 0.80173927439, 0.18926496219],
1268  [-0.51374315374, -0.87403205100, 0.16692526298],
1269  [-1.02748628783, 0.00000001240, -0.00000003844],
1270  [ 0.89666468978, 0.47140453296, -0.29134402622],
1271  [ 0.58249771017, -0.80173927439, -0.18926496219],
1272  [ 0.83125378687, -0.54018144318, -0.27009073756],
1273  [ 0.94250106167, -0.18926498020, -0.30623715984],
1274  [ 0.31751078833, -0.87403205872, -0.43701597508],
1275  [ 0.51374315374, 0.87403205100, -0.16692526298],
1276  [-0.51374313409, 0.87403206340, -0.16692530143],
1277  [-0.89666469792, 0.47140454470, -0.29134409404],
1278  [-0.83125388233, -0.54018152140, -0.27009080693],
1279  [-0.58249766471, -0.80173926315, -0.18926500599],
1280  [-0.31751075905, -0.87403203813, -0.43701599790],
1281  [-0.94250097679, -0.18926497873, -0.30623723192],
1282  [ 0.83125394207, -0.00000000773, -0.60394123806],
1283  [ 0.55416932145, -0.47140454384, -0.76274848242],
1284  [ 0.00000006329, -0.80173927623, -0.61247427683],
1285  [ 0.36000339413, 0.80173930908, -0.49550207363],
1286  [ 0.00000004010, 0.87403202745, -0.54018149056],
1287  [ 0.51374316338, 0.54018151801, -0.70710678126],
1288  [-0.36000332522, 0.80173921652, -0.49550210795],
1289  [-0.83125389314, 0.00000002527, -0.60394129932],
1290  [-0.51374312445, 0.54018153041, -0.70710681970],
1291  [-0.55416926303, -0.47140450330, -0.76274852191],
1292  [ 0.58249771487, 0.18926492629, -0.80173925260],
1293  [ 0.00000005975, -0.54018152913, -0.87403204499],
1294  [ 0.31751074542, 0.00000003162, -0.97719756131],
1295  [ 0.00000000000, 0.47140450895, -0.94280907941],
1296  [-0.58249766001, 0.18926493753, -0.80173929639],
1297  [-0.31751071895, -0.00000000340, -0.97719758819],
1298  [-0.00000001127, -0.18926497122, -0.99100426972]
1299  ],
1300  [
1301  [1.02748634200, 0.00000061320, 17.99999869722],
1302  [1.00891560199, 89.99999658970, 10.81231680724],
1303  [1.02748632463, -179.99999429390, 18.00000056439],
1304  [1.05409258193, -89.99999999999, 26.56504968170],
1305  [1.02748632019, -46.43700162957, 46.51292053460],
1306  [1.00891557619, -17.99999775680, 37.37736611922],
1307  [1.05409254124, 40.38617586423, 43.64692761206],
1308  [1.02748630166, 90.00000633706, 31.71747526862],
1309  [1.05409256151, 139.61382468489, 43.64693187669],
1310  [1.00891557095, -162.00000482901, 37.37736982663],
1311  [1.02748630668, -133.56300119541, 46.51292277440],
1312  [1.02748631518, -0.00000174191, 54.00000025335],
1313  [1.05409259858, -27.73230224166, 73.95493917425],
1314  [1.02748626646, -90.00000262866, 58.28252604708],
1315  [1.00891550908, -65.81858650511, 60.58554777641],
1316  [1.02748628614, 70.03536918416, 64.82873918611],
1317  [1.00891555981, 90.00000452307, 52.62263321232],
1318  [1.02748631876, 179.99999946728, 54.00000462068],
1319  [1.02748630300, 109.96463207855, 64.82874103382],
1320  [1.00891559036, -114.18141512172, 60.58555261657],
1321  [1.05409256766, -152.26769813128, 73.95494252661],
1322  [1.00891553940, 11.35462944224, 72.33018751495],
1323  [1.02748631959, 33.01739826504, 74.75983516356],
1324  [1.02748630742, -59.55361679393, 80.65029465008],
1325  [1.02748628783, -0.00000069174, 89.99999785636],
1326  [1.05409255675, -89.99999999999, 89.99999999999],
1327  [1.00891556533, 54.00000029669, 79.18768078490],
1328  [1.05409255675, 89.99999999999, 89.99999999999],
1329  [1.02748618300, 146.98260251978, 74.75983709775],
1330  [1.00891559709, 168.64537146750, 72.33019285450],
1331  [1.00891559229, 126.00000144763, 79.18768360925],
1332  [1.02748630045, -120.44638451846, 80.65029675853],
1333  [1.02748628783, 179.99999930825, 90.00000214363],
1334  [1.05409256766, 27.73230186871, 106.04505747338],
1335  [1.00891559229, -53.99999855235, 100.81231639074],
1336  [1.02748618300, -33.01739748021, 105.24016290224],
1337  [1.00891559709, -11.35462853249, 107.66980714549],
1338  [1.02748630300, -70.03536792144, 115.17125896617],
1339  [1.02748630045, 59.55361548153, 99.34970324145],
1340  [1.02748630742, 120.44638320606, 99.34970534991],
1341  [1.05409259858, 152.26769775832, 106.04506082573],
1342  [1.02748631959, -146.98260173495, 105.24016483643],
1343  [1.00891556533, -125.99999970329, 100.81231921509],
1344  [1.02748628614, -109.96463081583, 115.17126081388],
1345  [1.00891553940, -168.64537055775, 107.66981248504],
1346  [1.02748631876, -0.00000053271, 125.99999537931],
1347  [1.05409256151, -40.38617531509, 136.35306812330],
1348  [1.00891555981, -89.99999547692, 127.37736678767],
1349  [1.00891559036, 65.81858487826, 119.41444738341],
1350  [1.02748626646, 89.99999737133, 121.71747395291],
1351  [1.02748630668, 46.43699880458, 133.48707722559],
1352  [1.00891550908, 114.18141349487, 119.41445222357],
1353  [1.02748631518, 179.99999825808, 125.99999974664],
1354  [1.02748632019, 133.56299837042, 133.48707946539],
1355  [1.05409254124, -139.61382413575, 136.35307238793],
1356  [1.00891557095, 17.99999517097, 142.62263017336],
1357  [1.02748630166, -89.99999366293, 148.28252473137],
1358  [1.02748632463, 0.00000570609, 161.99999943560],
1359  [1.05409258193, 89.99999999999, 153.43495031828],
1360  [1.00891557619, 162.00000224318, 142.62263388077],
1361  [1.02748634200, -179.99999938679, 162.00000130277],
1362  [1.00891560199, -90.00000341028, 169.18768319275]
1363  ],
1364  [
1365  [2,1,0,3],
1366  [0,5,4,3],
1367  [1,7,6,0],
1368  [2,8,7,1],
1369  [3,10,9,2],
1370  [6,11,5,0],
1371  [11,12,4,5],
1372  [14,13,3,4],
1373  [16,15,6,7],
1374  [9,17,8,2],
1375  [18,16,7,8],
1376  [13,19,10,3],
1377  [20,17,9,10],
1378  [6,22,21,11],
1379  [12,23,14,4],
1380  [11,21,24,12],
1381  [14,23,25,13],
1382  [15,26,22,6],
1383  [16,18,27,15],
1384  [17,29,28,8],
1385  [8,28,30,18],
1386  [19,31,20,10],
1387  [13,25,31,19],
1388  [20,32,29,17],
1389  [33,24,21,22],
1390  [35,34,23,12],
1391  [36,35,12,24],
1392  [34,37,25,23],
1393  [27,38,26,15],
1394  [38,33,22,26],
1395  [30,39,27,18],
1396  [32,40,28,29],
1397  [40,39,30,28],
1398  [42,41,20,31],
1399  [43,42,31,25],
1400  [41,44,32,20],
1401  [33,45,36,24],
1402  [35,46,37,34],
1403  [36,45,46,35],
1404  [37,47,43,25],
1405  [27,49,48,38],
1406  [38,48,50,33],
1407  [39,51,49,27],
1408  [32,44,52,40],
1409  [40,53,51,39],
1410  [42,43,54,41],
1411  [41,54,52,44],
1412  [50,55,45,33],
1413  [56,47,37,46],
1414  [55,57,46,45],
1415  [56,54,43,47],
1416  [58,50,48,49],
1417  [53,58,49,51],
1418  [59,53,40,52],
1419  [60,59,52,54],
1420  [50,58,57,55],
1421  [46,57,61,56],
1422  [56,61,60,54],
1423  [53,59,60,58],
1424  [60,61,57,58]
1425  ],
1426  [
1427  [0,1],
1428  [0,3],
1429  [0,5],
1430  [0,6],
1431  [1,2],
1432  [1,7],
1433  [2,3],
1434  [2,8],
1435  [2,9],
1436  [3,4],
1437  [3,10],
1438  [3,13],
1439  [4,5],
1440  [4,12],
1441  [4,14],
1442  [5,11],
1443  [6,7],
1444  [6,11],
1445  [6,15],
1446  [6,22],
1447  [7,8],
1448  [7,16],
1449  [8,17],
1450  [8,18],
1451  [8,28],
1452  [9,10],
1453  [9,17],
1454  [10,19],
1455  [10,20],
1456  [11,12],
1457  [11,21],
1458  [12,23],
1459  [12,24],
1460  [12,35],
1461  [13,14],
1462  [13,19],
1463  [13,25],
1464  [14,23],
1465  [15,16],
1466  [15,26],
1467  [15,27],
1468  [16,18],
1469  [17,20],
1470  [17,29],
1471  [18,27],
1472  [18,30],
1473  [19,31],
1474  [20,31],
1475  [20,32],
1476  [20,41],
1477  [21,22],
1478  [21,24],
1479  [22,26],
1480  [22,33],
1481  [23,25],
1482  [23,34],
1483  [24,33],
1484  [24,36],
1485  [25,31],
1486  [25,37],
1487  [25,43],
1488  [26,38],
1489  [27,38],
1490  [27,39],
1491  [27,49],
1492  [28,29],
1493  [28,30],
1494  [28,40],
1495  [29,32],
1496  [30,39],
1497  [31,42],
1498  [32,40],
1499  [32,44],
1500  [33,38],
1501  [33,45],
1502  [33,50],
1503  [34,35],
1504  [34,37],
1505  [35,36],
1506  [35,46],
1507  [36,45],
1508  [37,46],
1509  [37,47],
1510  [38,48],
1511  [39,40],
1512  [39,51],
1513  [40,52],
1514  [40,53],
1515  [41,42],
1516  [41,44],
1517  [41,54],
1518  [42,43],
1519  [43,47],
1520  [43,54],
1521  [44,52],
1522  [45,46],
1523  [45,55],
1524  [46,56],
1525  [46,57],
1526  [47,56],
1527  [48,49],
1528  [48,50],
1529  [49,51],
1530  [49,58],
1531  [50,55],
1532  [50,58],
1533  [51,53],
1534  [52,54],
1535  [52,59],
1536  [53,58],
1537  [53,59],
1538  [54,56],
1539  [54,60],
1540  [55,57],
1541  [56,61],
1542  [57,58],
1543  [57,61],
1544  [58,60],
1545  [59,60],
1546  [60,61]
1547  ]
1548  ],
1549  [
1550  "archimedean_duals_kite_icositetrahedron",
1551  "Kite Icositetrahedron",
1552  empty_str,
1553  "archimedean_duals",
1554  "Exact Mathematics",
1555  [
1556  [ 0.00000000000, 0.70710678119, 0.70710678119],
1557  [-0.54691816068, 0.54691816068, 0.54691816068],
1558  [-0.70710678119, 0.00000000000, 0.70710678119],
1559  [ 0.00000000000, 0.00000000000, 1.00000000000],
1560  [ 0.70710678119, 0.00000000000, 0.70710678119],
1561  [ 0.54691816068, 0.54691816068, 0.54691816068],
1562  [ 0.00000000000, 1.00000000000, 0.00000000000],
1563  [-0.70710678119, 0.70710678119, 0.00000000000],
1564  [-1.00000000000, 0.00000000000, 0.00000000000],
1565  [-0.54691816068, -0.54691816068, 0.54691816068],
1566  [ 0.00000000000, -0.70710678119, 0.70710678119],
1567  [ 0.70710678119, 0.70710678119, 0.00000000000],
1568  [ 1.00000000000, 0.00000000000, 0.00000000000],
1569  [ 0.54691816068, -0.54691816068, 0.54691816068],
1570  [ 0.00000000000, 0.70710678119, -0.70710678119],
1571  [-0.54691816068, 0.54691816068, -0.54691816068],
1572  [-0.70710678119, -0.70710678119, 0.00000000000],
1573  [-0.70710678119, 0.00000000000, -0.70710678119],
1574  [ 0.00000000000, -1.00000000000, 0.00000000000],
1575  [ 0.54691816068, 0.54691816068, -0.54691816068],
1576  [ 0.70710678119, -0.70710678119, 0.00000000000],
1577  [ 0.70710678119, 0.00000000000, -0.70710678119],
1578  [ 0.00000000000, 0.00000000000, -1.00000000000],
1579  [-0.54691816068, -0.54691816068, -0.54691816068],
1580  [ 0.00000000000, -0.70710678119, -0.70710678119],
1581  [ 0.54691816068, -0.54691816068, -0.54691816068]
1582  ],
1583  [
1584  [1.00000000000, 89.99999999999, 45.00000000000],
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1659  [8,17],
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1666  [12,20],
1667  [12,21],
1668  [13,20],
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1675  [17,22],
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1681  [21,22],
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1683  [22,24],
1684  [23,24],
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1686  ]
1687  ],
1688  [
1689  "archimedean_duals_pentagonal_hexecontahedron",
1690  "Pentagonal Hexecontahedron",
1691  empty_str,
1692  "archimedean_duals",
1693  "George W. Hart, 1997. george@li.net",
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1914  [40,59,58,38,39],
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1936  [77,78,87,75,76],
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1939  [70,90,89,82,83],
1940  [85,91,90,70,84],
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1942  [89,90,91,78,88]
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1961  [7,8],
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1963  [8,21],
1964  [9,10],
1965  [9,23],
1966  [9,24],
1967  [10,11],
1968  [10,26],
1969  [11,12],
1970  [12,13],
1971  [12,27],
1972  [12,28],
1973  [12,47],
1974  [13,14],
1975  [14,15],
1976  [14,29],
1977  [15,31],
1978  [16,17],
1979  [16,32],
1980  [17,18],
1981  [17,34],
1982  [18,19],
1983  [19,20],
1984  [19,35],
1985  [20,21],
1986  [20,37],
1987  [20,38],
1988  [21,22],
1989  [22,23],
1990  [22,39],
1991  [23,41],
1992  [24,25],
1993  [24,42],
1994  [25,26],
1995  [25,44],
1996  [26,27],
1997  [27,45],
1998  [28,29],
1999  [28,49],
2000  [29,30],
2001  [30,31],
2002  [30,50],
2003  [30,51],
2004  [30,68],
2005  [31,32],
2006  [32,33],
2007  [33,34],
2008  [33,51],
2009  [34,35],
2010  [34,53],
2011  [34,54],
2012  [35,36],
2013  [36,37],
2014  [36,55],
2015  [37,57],
2016  [38,39],
2017  [38,58],
2018  [39,40],
2019  [40,41],
2020  [40,59],
2021  [40,60],
2022  [40,76],
2023  [41,42],
2024  [42,43],
2025  [43,44],
2026  [43,60],
2027  [44,45],
2028  [44,62],
2029  [44,63],
2030  [45,46],
2031  [46,47],
2032  [46,64],
2033  [47,48],
2034  [48,49],
2035  [48,65],
2036  [49,50],
2037  [50,66],
2038  [51,52],
2039  [52,53],
2040  [52,69],
2041  [53,71],
2042  [54,55],
2043  [54,72],
2044  [55,56],
2045  [56,57],
2046  [56,73],
2047  [56,74],
2048  [56,86],
2049  [57,58],
2050  [58,59],
2051  [59,74],
2052  [60,61],
2053  [61,62],
2054  [61,77],
2055  [62,79],
2056  [63,64],
2057  [63,80],
2058  [64,65],
2059  [65,66],
2060  [65,81],
2061  [65,82],
2062  [66,67],
2063  [67,68],
2064  [67,83],
2065  [68,69],
2066  [69,70],
2067  [70,71],
2068  [70,83],
2069  [70,84],
2070  [70,90],
2071  [71,72],
2072  [72,73],
2073  [73,84],
2074  [74,75],
2075  [75,76],
2076  [75,87],
2077  [76,77],
2078  [77,78],
2079  [78,79],
2080  [78,87],
2081  [78,88],
2082  [78,91],
2083  [79,80],
2084  [80,81],
2085  [81,88],
2086  [82,83],
2087  [82,89],
2088  [84,85],
2089  [85,86],
2090  [85,91],
2091  [86,87],
2092  [88,89],
2093  [89,90],
2094  [90,91]
2095  ]
2096  ],
2097  [
2098  "archimedean_duals_pentagonal_icositetrahedron",
2099  "Pentagonal Icositetrahedron",
2100  empty_str,
2101  "archimedean_duals",
2102  "George W. Hart, 1997. george@li.net",
2103  [
2104  [ 0.16071327325, 0.75190871675, -0.54368902931],
2105  [-0.16071322588, 0.54368899822, -0.75190873509],
2106  [-0.54368897205, 0.54368899723, -0.54368904151],
2107  [-0.54368896362, 0.75190871866, -0.16071328736],
2108  [-0.00000000676, 0.99999999488, -0.00000000731],
2109  [ 0.54368897783, 0.75190869752, 0.16071325200],
2110  [ 0.75190866563, 0.54368897418, -0.16071321670],
2111  [ 0.54368897367, 0.54368900470, -0.54368899596],
2112  [ 0.54368904340, 0.16071325571, -0.75190863643],
2113  [-0.00000000676, 0.00000001660, -1.00000000000],
2114  [-0.54368896170, -0.16071326637, -0.75190870910],
2115  [-0.75190870177, 0.16071321607, -0.54368907275],
2116  [-0.99999997485, -0.00000001528, -0.00000009448],
2117  [-0.75190869930, 0.54368899910, 0.16071317983],
2118  [-0.54368900735, 0.54368896859, 0.54368895909],
2119  [-0.16071325904, 0.75190869943, 0.54368899395],
2120  [ 0.16071317676, 0.54368899531, 0.75190868442],
2121  [ 0.54368893146, 0.54368899942, 0.54368899194],
2122  [ 0.75190868600, 0.16071324303, 0.54368899377],
2123  [ 0.99999996132, 0.00000002772, 0.00000007987],
2124  [ 0.75190873045, -0.16071319835, -0.54368892976],
2125  [ 0.54368899382, -0.54368895615, -0.54368897371],
2126  [ 0.16071325221, -0.54368889737, -0.75190857341],
2127  [-0.16071325147, -0.75190867567, -0.54368898591],
2128  [-0.54368894499, -0.54368898698, -0.54368900655],
2129  [-0.75190865186, -0.54368901104, -0.16071324937],
2130  [-0.75190873482, -0.16071325923, 0.54368899222],
2131  [-0.54368899063, 0.16071324797, 0.75190866164],
2132  [-0.00000000676, -0.00000000416, 0.99999998539],
2133  [ 0.54368897421, -0.16071320457, 0.75190867837],
2134  [ 0.54368895852, -0.54368898479, 0.54368902690],
2135  [ 0.75190865849, -0.54368893736, 0.16071325700],
2136  [ 0.54368903978, -0.75190864639, -0.16071321006],
2137  [-0.00000000676, -0.99999998245, -0.00000000731],
2138  [-0.54368899324, -0.75190871736, 0.16071321914],
2139  [-0.54368898719, -0.54368899226, 0.54368898134],
2140  [-0.16071326938, -0.54368901430, 0.75190866154],
2141  [ 0.16071331941, -0.75190902099, 0.54368916366]
2142  ],
2143  [
2144  [0.94169699751, 77.93511852297, 125.26439074846],
2145  [0.94169698611, 106.46755898307, 142.98343120091],
2146  [0.94169697775, 134.99999867304, 125.26439250807],
2147  [0.94169696351, 125.86987960572, 99.82639781431],
2148  [0.99999999488, 90.00000038747, 90.00000041864],
2149  [0.94169694881, 54.13011891836, 80.17360421411],
2150  [0.94169691521, 35.86988205269, 99.82639396007],
2151  [0.94169695669, 45.00000163481, 125.26439001937],
2152  [0.94169693852, 16.46756057926, 142.98342507151],
2153  [1.00000000000, 112.17056773351, 179.99999897318],
2154  [0.94169695119, -163.53243604711, 142.98343139242],
2155  [0.94169700087, 167.93512245650, 125.26439384143],
2156  [0.99999997485, -179.99999912453, 90.00000541347],
2157  [0.94169695019, 144.13011791868, 80.17360868494],
2158  [0.94169693400, 135.00000204233, 54.73561175152],
2159  [0.94169696083, 102.06488071124, 54.73561030871],
2160  [0.94169693560, 73.53244569490, 37.01656984339],
2161  [0.94169692696, 45.00000358086, 54.73560900079],
2162  [0.94169694728, 12.06487975387, 54.73560973856],
2163  [0.99999996132, 0.00000158816, 89.99999542382],
2164  [0.94169693819, -12.06487580597, 125.26438588242],
2165  [0.94169692745, -44.99999801492, 125.26438961939],
2166  [0.94169680330, -73.53243557609, 142.98342961421],
2167  [0.94169693593, -102.06488053029, 125.26439016391],
2168  [0.94169693602, -134.99999778726, 125.26439169819],
2169  [0.94169693107, -144.13011560493, 99.82639581021],
2170  [0.94169698813, -167.93511982564, 54.73561161174],
2171  [0.94169692686, 163.53243865866, 37.01657144033],
2172  [0.99999998539, -148.42091555625, 0.00000045483],
2173  [0.94169692333, -16.46755760552, 37.01656946502],
2174  [0.94169695432, -45.00000138421, 54.73560757295],
2175  [0.94169689513, -35.86988046874, 80.17360333945],
2176  [0.94169693658, -54.13011396871, 99.82639332499],
2177  [0.99999998245, -90.00000038747, 90.00000041864],
2178  [0.94169696793, -125.86988113486, 80.17360644450],
2179  [0.94169694888, -134.99999973330, 54.73561073359],
2180  [0.94169694410, -106.46756273772, 37.01657284190],
2181  [0.94169732588, -77.93511989808, 54.73561336722]
2182  ],
2183  [
2184  [3,2,1,0,4],
2185  [7,6,5,4,0],
2186  [9,8,7,0,1],
2187  [11,10,9,1,2],
2188  [13,12,11,2,3],
2189  [15,14,13,3,4],
2190  [17,16,15,4,5],
2191  [19,18,17,5,6],
2192  [8,20,19,6,7],
2193  [22,21,20,8,9],
2194  [24,23,22,9,10],
2195  [12,25,24,10,11],
2196  [14,27,26,12,13],
2197  [16,28,27,14,15],
2198  [18,29,28,16,17],
2199  [31,30,29,18,19],
2200  [21,32,31,19,20],
2201  [23,33,32,21,22],
2202  [25,34,33,23,24],
2203  [26,35,34,25,12],
2204  [28,36,35,26,27],
2205  [30,37,36,28,29],
2206  [32,33,37,30,31],
2207  [35,36,37,33,34]
2208  ],
2209  [
2210  [0,1],
2211  [0,4],
2212  [0,7],
2213  [1,2],
2214  [1,9],
2215  [2,3],
2216  [2,11],
2217  [3,4],
2218  [3,13],
2219  [4,5],
2220  [4,15],
2221  [5,6],
2222  [5,17],
2223  [6,7],
2224  [6,19],
2225  [7,8],
2226  [8,9],
2227  [8,20],
2228  [9,10],
2229  [9,22],
2230  [10,11],
2231  [10,24],
2232  [11,12],
2233  [12,13],
2234  [12,25],
2235  [12,26],
2236  [13,14],
2237  [14,15],
2238  [14,27],
2239  [15,16],
2240  [16,17],
2241  [16,28],
2242  [17,18],
2243  [18,19],
2244  [18,29],
2245  [19,20],
2246  [19,31],
2247  [20,21],
2248  [21,22],
2249  [21,32],
2250  [22,23],
2251  [23,24],
2252  [23,33],
2253  [24,25],
2254  [25,34],
2255  [26,27],
2256  [26,35],
2257  [27,28],
2258  [28,29],
2259  [28,36],
2260  [29,30],
2261  [30,31],
2262  [30,37],
2263  [31,32],
2264  [32,33],
2265  [33,34],
2266  [33,37],
2267  [34,35],
2268  [35,36],
2269  [36,37]
2270  ]
2271  ],
2272  [
2273  "archimedean_duals_pentakis_dodecahedron",
2274  "Pentakis-dodecahedron",
2275  empty_str,
2276  "archimedean_duals",
2277  "George W. Hart, 1997. george@li.net",
2278  [
2279  [ 0.20177410000, 0.38196600000, 0.97943210000],
2280  [-0.42923850000, -0.04863268000, 0.97943210000],
2281  [ 0.20177410000, -0.29568600000, 0.97943210000],
2282  [ 0.78140610000, -0.04863268000, 0.73002560000],
2283  [-0.40354820000, 0.59137200000, 0.75819400000],
2284  [-0.23959370000, -0.74535600000, 0.73002560000],
2285  [ 0.67036380000, 0.59137200000, 0.53695600000],
2286  [ 0.50862580000, -0.74535600000, 0.57588390000],
2287  [-0.92198690000, 0.25464400000, 0.48061910000],
2288  [ 0.09901297000, 0.95136730000, 0.48061910000],
2289  [-0.79506710000, -0.40862800000, 0.53695600000],
2290  [ 1.03687700000, 0.25464400000, 0.07707085000],
2291  [ 0.94255910000, -0.40862800000, 0.17898530000],
2292  [-0.59550950000, 0.87267800000, 0.17233570000],
2293  [ 0.03687301000, -1.02666200000, 0.17898530000],
2294  [-0.61513510000, -0.87267800000, 0.07707085000],
2295  [ 0.61513510000, 0.87267800000, -0.07707085000],
2296  [ 0.59550950000, -0.87267800000, -0.17233570000],
2297  [-0.94255910000, 0.40862800000, -0.17898530000],
2298  [-1.03687700000, -0.25464400000, -0.07707085000],
2299  [-0.03687301000, 1.02666200000, -0.17898530000],
2300  [ 0.79506710000, 0.40862800000, -0.53695600000],
2301  [ 0.92198690000, -0.25464400000, -0.48061910000],
2302  [-0.50862580000, 0.74535600000, -0.57588390000],
2303  [-0.09901297000, -0.95136730000, -0.48061910000],
2304  [-0.67036380000, -0.59137200000, -0.53695600000],
2305  [ 0.23959370000, 0.74535600000, -0.73002560000],
2306  [ 0.40354820000, -0.59137200000, -0.75819400000],
2307  [-0.78140610000, 0.04863268000, -0.73002560000],
2308  [ 0.42923850000, 0.04863268000, -0.97943210000],
2309  [-0.20177410000, 0.29568600000, -0.97943210000],
2310  [-0.20177410000, -0.38196600000, -0.97943210000]
2311  ],
2312  [
2313  [1.07046627742, 62.15468025915, 23.80018166046],
2314  [1.07046628436, -173.53595908920, 23.80018250273],
2315  [1.04279923117, -55.69064040323, 20.07675084678],
2316  [1.07046625698, -3.56134651010, 47.00224174530],
2317  [1.04279918189, 124.30935959676, 43.35819899984],
2318  [1.07046629301, -107.81993299443, 47.00224354341],
2319  [1.04279921973, 41.41763546184, 59.00803153025],
2320  [1.07046627104, -55.69064178336, 57.45411776945],
2321  [1.07046631418, 164.56035451966, 63.32167143348],
2322  [1.07046626618, 84.05836739099, 63.32167014248],
2323  [1.04279925289, -152.79891613231, 59.00803262454],
2324  [1.07046597133, 13.79804996163, 85.87127616656],
2325  [1.04279923139, -23.43819697649, 80.11685656721],
2326  [1.07046627680, 124.30936019929, 80.73556362919],
2327  [1.04279922263, -87.94308140001, 80.11685648337],
2328  [1.07046625302, -125.17932391740, 85.87127725489],
2329  [1.07046625302, 54.82067608259, 94.12872274510],
2330  [1.07046627680, -55.69063980069, 99.26443637080],
2331  [1.04279923139, 156.56180302349, 99.88314343278],
2332  [1.07046597133, -166.20195003836, 94.12872383343],
2333  [1.04279922263, 92.05691859998, 99.88314351662],
2334  [1.04279925289, 27.20108386768, 120.99196737545],
2335  [1.07046631418, -15.43964548033, 116.67832856651],
2336  [1.07046627104, 124.30935821663, 122.54588223054],
2337  [1.07046626618, -95.94163260899, 116.67832985751],
2338  [1.04279921973, -138.58236453815, 120.99196846974],
2339  [1.07046629301, 72.18006700556, 132.99775645657],
2340  [1.04279918189, -55.69064040323, 136.64180100015],
2341  [1.07046625698, 176.43865348989, 132.99775825469],
2342  [1.07046628436, 6.46404091078, 156.19981749726],
2343  [1.04279923117, 124.30935959676, 159.92324915321],
2344  [1.07046627742, -117.84531974084, 156.19981833953]
2345  ],
2346  [
2347  [1,0,2],
2348  [0,3,2],
2349  [1,4,0],
2350  [2,5,1],
2351  [6,3,0],
2352  [7,2,3],
2353  [8,4,1],
2354  [9,0,4],
2355  [7,5,2],
2356  [10,1,5],
2357  [6,11,3],
2358  [0,9,6],
2359  [3,12,7],
2360  [8,13,4],
2361  [1,10,8],
2362  [4,13,9],
2363  [7,14,5],
2364  [5,15,10],
2365  [16,11,6],
2366  [12,3,11],
2367  [16,6,9],
2368  [17,7,12],
2369  [18,13,8],
2370  [19,8,10],
2371  [20,9,13],
2372  [17,14,7],
2373  [15,5,14],
2374  [19,10,15],
2375  [16,21,11],
2376  [11,22,12],
2377  [9,20,16],
2378  [12,22,17],
2379  [18,23,13],
2380  [8,19,18],
2381  [13,23,20],
2382  [17,24,14],
2383  [14,24,15],
2384  [15,25,19],
2385  [26,21,16],
2386  [22,11,21],
2387  [26,16,20],
2388  [27,17,22],
2389  [28,23,18],
2390  [28,18,19],
2391  [26,20,23],
2392  [27,24,17],
2393  [25,15,24],
2394  [28,19,25],
2395  [26,29,21],
2396  [21,29,22],
2397  [22,29,27],
2398  [28,30,23],
2399  [23,30,26],
2400  [27,31,24],
2401  [24,31,25],
2402  [25,31,28],
2403  [30,29,26],
2404  [31,27,29],
2405  [31,30,28],
2406  [30,31,29]
2407  ],
2408  [
2409  [0,1],
2410  [0,2],
2411  [0,3],
2412  [0,4],
2413  [0,6],
2414  [0,9],
2415  [1,2],
2416  [1,4],
2417  [1,5],
2418  [1,8],
2419  [1,10],
2420  [2,3],
2421  [2,5],
2422  [2,7],
2423  [3,6],
2424  [3,7],
2425  [3,11],
2426  [3,12],
2427  [4,8],
2428  [4,9],
2429  [4,13],
2430  [5,7],
2431  [5,10],
2432  [5,14],
2433  [5,15],
2434  [6,9],
2435  [6,11],
2436  [6,16],
2437  [7,12],
2438  [7,14],
2439  [7,17],
2440  [8,10],
2441  [8,13],
2442  [8,18],
2443  [8,19],
2444  [9,13],
2445  [9,16],
2446  [9,20],
2447  [10,15],
2448  [10,19],
2449  [11,12],
2450  [11,16],
2451  [11,21],
2452  [11,22],
2453  [12,17],
2454  [12,22],
2455  [13,18],
2456  [13,20],
2457  [13,23],
2458  [14,15],
2459  [14,17],
2460  [14,24],
2461  [15,19],
2462  [15,24],
2463  [15,25],
2464  [16,20],
2465  [16,21],
2466  [16,26],
2467  [17,22],
2468  [17,24],
2469  [17,27],
2470  [18,19],
2471  [18,23],
2472  [18,28],
2473  [19,25],
2474  [19,28],
2475  [20,23],
2476  [20,26],
2477  [21,22],
2478  [21,26],
2479  [21,29],
2480  [22,27],
2481  [22,29],
2482  [23,26],
2483  [23,28],
2484  [23,30],
2485  [24,25],
2486  [24,27],
2487  [24,31],
2488  [25,28],
2489  [25,31],
2490  [26,29],
2491  [26,30],
2492  [27,29],
2493  [27,31],
2494  [28,30],
2495  [28,31],
2496  [29,30],
2497  [29,31],
2498  [30,31]
2499  ]
2500  ],
2501  [
2502  "archimedean_duals_rhombic_dodecahedron",
2503  "Rhombic Dodecahedron",
2504  empty_str,
2505  "archimedean_duals",
2506  "Exact Mathematics",
2507  [
2508  [ 0.00000000000, 0.00000000000, 1.00000000000],
2509  [ 0.50000000000, 0.50000000000, 0.50000000000],
2510  [-0.50000000000, 0.50000000000, 0.50000000000],
2511  [-0.50000000000, -0.50000000000, 0.50000000000],
2512  [ 0.50000000000, -0.50000000000, 0.50000000000],
2513  [ 1.00000000000, 0.00000000000, 0.00000000000],
2514  [ 0.00000000000, 1.00000000000, 0.00000000000],
2515  [-1.00000000000, 0.00000000000, 0.00000000000],
2516  [ 0.00000000000, -1.00000000000, 0.00000000000],
2517  [ 0.50000000000, 0.50000000000, -0.50000000000],
2518  [-0.50000000000, 0.50000000000, -0.50000000000],
2519  [-0.50000000000, -0.50000000000, -0.50000000000],
2520  [ 0.50000000000, -0.50000000000, -0.50000000000],
2521  [ 0.00000000000, 0.00000000000, -1.00000000000]
2522  ],
2523  [
2524  [1.00000000000, 0.00000000000, 0.00000000000],
2525  [0.86602540378, 45.00000000000, 54.73561031724],
2526  [0.86602540378, 134.99999999999, 54.73561031724],
2527  [0.86602540378, -134.99999999999, 54.73561031724],
2528  [0.86602540378, -45.00000000000, 54.73561031724],
2529  [1.00000000000, 0.00000000000, 89.99999999999],
2530  [1.00000000000, 89.99999999999, 89.99999999999],
2531  [1.00000000000, 179.99999999999, 89.99999999999],
2532  [1.00000000000, -89.99999999999, 89.99999999999],
2533  [0.86602540378, 45.00000000000, 125.26438968275],
2534  [0.86602540378, 134.99999999999, 125.26438968275],
2535  [0.86602540378, -134.99999999999, 125.26438968275],
2536  [0.86602540378, -45.00000000000, 125.26438968275],
2537  [1.00000000000, 0.00000000000, 179.99999999999]
2538  ],
2539  [
2540  [1,5,4,0],
2541  [2,6,1,0],
2542  [3,7,2,0],
2543  [4,8,3,0],
2544  [6,9,5,1],
2545  [7,10,6,2],
2546  [8,11,7,3],
2547  [5,12,8,4],
2548  [9,13,12,5],
2549  [10,13,9,6],
2550  [11,13,10,7],
2551  [12,13,11,8]
2552  ],
2553  [
2554  [0,1],
2555  [0,2],
2556  [0,3],
2557  [0,4],
2558  [1,5],
2559  [2,6],
2560  [3,7],
2561  [4,8],
2562  [1,6],
2563  [2,7],
2564  [3,8],
2565  [4,5],
2566  [5,9],
2567  [6,10],
2568  [7,11],
2569  [8,12],
2570  [5,12],
2571  [6,9],
2572  [7,10],
2573  [8,11],
2574  [13,9],
2575  [13,10],
2576  [13,11],
2577  [13,12]
2578  ]
2579  ],
2580  [
2581  "archimedean_duals_rhombic_triacontahedron",
2582  "Rhombic Triacontahedron",
2583  empty_str,
2584  "archimedean_duals",
2585  "George W. Hart, 1997. george@li.net",
2586  [
2587  [ 0.00000000000, 1.01807390634, 0.00000000000],
2588  [ 0.00000000000, 0.88845068543, 0.67871595830],
2589  [ 0.58778524700, 0.75882747687, 0.33935798580],
2590  [ 0.58778524700, 0.88845069778, -0.33935797250],
2591  [ 0.00000000920, 0.75882755207, -0.67871593299],
2592  [-0.58778523780, 0.88845076062, -0.33935796050],
2593  [-0.58778523780, 0.75882753971, 0.33935799780],
2594  [ 0.36327128724, 0.33935800536, 0.88845072319],
2595  [ 0.95105653425, 0.20973479681, 0.54909275069],
2596  [ 0.95105653425, 0.33935801772, -0.12962320761],
2597  [-0.00000000000, 0.20973477335, -1.09818546924],
2598  [-0.58778524700, 0.33935798191, -0.75882749674],
2599  [ 0.58778526871, 0.33935801248, -0.75882749090],
2600  [-0.95105652505, 0.20973476100, 0.54909274385],
2601  [-0.36327125634, 0.33935800013, 0.88845072219],
2602  [-0.95105652505, 0.33935798191, -0.12962321445],
2603  [ 0.00000000000, -0.20973477335, 1.09818546924],
2604  [ 0.58778524700, -0.33935798191, 0.75882749674],
2605  [ 0.95105652505, -0.20973476100, -0.54909274385],
2606  [ 0.95105652505, -0.33935798191, 0.12962321445],
2607  [-0.36327128724, -0.33935800536, -0.88845072319],
2608  [-0.95105653425, -0.20973479681, -0.54909275069],
2609  [ 0.36327125634, -0.33935800013, -0.88845072219],
2610  [-0.58778526871, -0.33935801248, 0.75882749090],
2611  [-0.95105653425, -0.33935801772, 0.12962320761],
2612  [-0.00000000920, -0.75882755207, 0.67871593299],
2613  [ 0.58778523780, -0.88845076062, 0.33935796050],
2614  [ 0.58778523780, -0.75882753971, -0.33935799780],
2615  [ 0.00000000000, -0.88845068543, -0.67871595830],
2616  [-0.58778524700, -0.75882747687, -0.33935798580],
2617  [-0.58778524700, -0.88845069778, 0.33935797250],
2618  [ 0.00000000000, -1.01807390634, 0.00000000000]
2619  ],
2620  [
2621  [1.01807390634, 89.99999999999, 89.99999999999],
2622  [1.11803397644, 89.99999999999, 52.62263066673],
2623  [1.01807390634, 52.23875557900, 70.52877834968],
2624  [1.11803397644, 56.51199476545, 107.66980724671],
2625  [1.01807395187, 89.99999930546, 131.81031225926],
2626  [1.11803401790, 123.48800295704, 107.66980592440],
2627  [1.01807395187, 127.76124168979, 70.52877853920],
2628  [1.01807395187, 43.05074810479, 29.22865434511],
2629  [1.11803401790, 12.43628246235, 60.58554897383],
2630  [1.01807395187, 19.63752482828, 97.31486796888],
2631  [1.11803398875, 89.99999999999, 169.18768244741],
2632  [1.01807391986, 149.99999917200, 138.18968508471],
2633  [1.01807393822, 30.00000214725, 138.18968343591],
2634  [1.11803400000, 167.56371947847, 60.58554885896],
2635  [1.01807393822, 136.94924990484, 29.22865308802],
2636  [1.01807393221, 160.36247691007, 97.31486849897],
2637  [1.11803398875, -89.99999999999, 10.81231755257],
2638  [1.01807391986, -30.00000082799, 41.81031491527],
2639  [1.11803400000, -12.43628052152, 119.41445114102],
2640  [1.01807393221, -19.63752308992, 82.68513150102],
2641  [1.01807395187, -136.94925189520, 150.77134565488],
2642  [1.11803401790, -167.56371753764, 119.41445102616],
2643  [1.01807393822, -43.05075009515, 150.77134691197],
2644  [1.01807393822, -149.99999785273, 41.81031656408],
2645  [1.01807395187, -160.36247517171, 82.68513203111],
2646  [1.01807395187, -90.00000069453, 48.18968774073],
2647  [1.11803401790, -56.51199704295, 72.33019407559],
2648  [1.01807395187, -52.23875831020, 109.47122146079],
2649  [1.11803397644, -89.99999999999, 127.37736933326],
2650  [1.01807390634, -127.76124442099, 109.47122165031],
2651  [1.11803397644, -123.48800523454, 72.33019275327],
2652  [1.01807390634, -89.99999999999, 89.99999999999]
2653  ],
2654  [
2655  [2,1,0,3],
2656  [0,5,4,3],
2657  [1,6,5,0],
2658  [2,8,7,1],
2659  [3,9,8,2],
2660  [11,10,4,5],
2661  [10,12,3,4],
2662  [14,13,6,1],
2663  [13,15,5,6],
2664  [17,16,7,8],
2665  [16,14,1,7],
2666  [12,18,9,3],
2667  [18,19,8,9],
2668  [11,21,20,10],
2669  [5,15,21,11],
2670  [10,22,18,12],
2671  [14,16,23,13],
2672  [13,24,21,15],
2673  [17,26,25,16],
2674  [8,19,26,17],
2675  [18,27,26,19],
2676  [29,28,20,21],
2677  [28,22,10,20],
2678  [28,27,18,22],
2679  [25,30,23,16],
2680  [30,24,13,23],
2681  [30,29,21,24],
2682  [31,30,25,26],
2683  [28,31,26,27],
2684  [29,30,31,28]
2685  ],
2686  [
2687  [0,1],
2688  [0,3],
2689  [0,5],
2690  [1,2],
2691  [1,6],
2692  [1,7],
2693  [1,14],
2694  [2,3],
2695  [2,8],
2696  [3,4],
2697  [3,9],
2698  [3,12],
2699  [4,5],
2700  [4,10],
2701  [5,6],
2702  [5,11],
2703  [5,15],
2704  [6,13],
2705  [7,8],
2706  [7,16],
2707  [8,9],
2708  [8,17],
2709  [8,19],
2710  [9,18],
2711  [10,11],
2712  [10,12],
2713  [10,20],
2714  [10,22],
2715  [11,21],
2716  [12,18],
2717  [13,14],
2718  [13,15],
2719  [13,23],
2720  [13,24],
2721  [14,16],
2722  [15,21],
2723  [16,17],
2724  [16,23],
2725  [16,25],
2726  [17,26],
2727  [18,19],
2728  [18,22],
2729  [18,27],
2730  [19,26],
2731  [20,21],
2732  [20,28],
2733  [21,24],
2734  [21,29],
2735  [22,28],
2736  [23,30],
2737  [24,30],
2738  [25,26],
2739  [25,30],
2740  [26,27],
2741  [26,31],
2742  [27,28],
2743  [28,29],
2744  [28,31],
2745  [29,30],
2746  [30,31]
2747  ]
2748  ],
2749  [
2750  "archimedean_duals_tetrakis_hexahedron",
2751  "Tetrakis-hexahedron",
2752  empty_str,
2753  "archimedean_duals",
2754  "George W. Hart, 1997. george@li.net",
2755  [
2756  [ 0.70710678207, 0.70710678239, -0.70710681572],
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2759  [ 0.70710690892, 0.70710691162, 0.70710686506],
2760  [-0.00000000000, -0.00000006623, -1.06066014330],
2761  [-0.70710653501, 0.70710672864, 0.70710659847],
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2764  [ 0.70710653501, -0.70710672864, -0.70710659847],
2765  [-1.06066017311, -0.00000000830, 0.00000005793],
2766  [ 0.70710685399, -0.70710676255, 0.70710675601],
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2768  [-0.70710678207, -0.70710678239, 0.70710681572],
2769  [ 0.00000000000, -1.06066018679, 0.00000000000]
2770  ],
2771  [
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2776  [1.06066014330, -89.99999999999, 179.99999642215],
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2778  [1.06066017311, 0.00000044850, 90.00000312934],
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2780  [1.22474459343, -45.00000784497, 125.26438840879],
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2783  [1.06066014330, 89.99999999999, 0.00000357784],
2784  [1.22474489254, -134.99999998726, 54.73560903786],
2785  [1.06066018679, -89.99999999999, 89.99999999999]
2786  ],
2787  [
2788  [1,0,2],
2789  [0,3,2],
2790  [1,4,0],
2791  [2,5,1],
2792  [6,3,0],
2793  [5,2,3],
2794  [7,4,1],
2795  [8,0,4],
2796  [9,1,5],
2797  [6,10,3],
2798  [0,8,6],
2799  [3,11,5],
2800  [7,8,4],
2801  [1,9,7],
2802  [5,12,9],
2803  [8,10,6],
2804  [11,3,10],
2805  [12,5,11],
2806  [13,8,7],
2807  [12,7,9],
2808  [8,13,10],
2809  [10,12,11],
2810  [7,12,13],
2811  [12,10,13]
2812  ],
2813  [
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2815  [0,2],
2816  [0,3],
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2818  [0,6],
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2820  [1,2],
2821  [1,4],
2822  [1,5],
2823  [1,7],
2824  [1,9],
2825  [2,3],
2826  [2,5],
2827  [3,5],
2828  [3,6],
2829  [3,10],
2830  [3,11],
2831  [4,7],
2832  [4,8],
2833  [5,9],
2834  [5,11],
2835  [5,12],
2836  [6,8],
2837  [6,10],
2838  [7,8],
2839  [7,9],
2840  [7,12],
2841  [7,13],
2842  [8,10],
2843  [8,13],
2844  [9,12],
2845  [10,11],
2846  [10,12],
2847  [10,13],
2848  [11,12],
2849  [12,13]
2850  ]
2851  ],
2852  [
2853  "archimedean_duals_triakis_icosahedron",
2854  "Triakis-icosahedron",
2855  empty_str,
2856  "archimedean_duals",
2857  "George W. Hart, 1997. george@li.net",
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2891  ],
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2900  [1.00489904885, 160.36247714599, 97.31487112602],
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2906  [1.00489901598, 43.05075547144, 29.22864925989],
2907  [1.17557015257, 90.00002501987, 169.18768822431],
2908  [1.17557011013, 12.43628059663, 60.58554663923],
2909  [1.00489900288, 149.99999533713, 138.18968748766],
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2923  [1.00489899512, -89.99999999999, 89.99999999999],
2924  [1.00489901512, -52.23875659675, 109.47121746479]
2925  ],
2926  [
2927  [1,0,2],
2928  [0,3,2],
2929  [1,4,0],
2930  [2,3,1],
2931  [5,3,0],
2932  [6,4,1],
2933  [6,0,4],
2934  [7,1,3],
2935  [5,8,3],
2936  [0,8,5],
2937  [1,9,6],
2938  [6,10,0],
2939  [7,11,1],
2940  [3,11,7],
2941  [12,3,8],
2942  [13,8,0],
2943  [14,9,1],
2944  [14,6,9],
2945  [15,10,6],
2946  [15,0,10],
2947  [16,1,11],
2948  [17,11,3],
2949  [12,18,3],
2950  [8,18,12],
2951  [13,15,8],
2952  [0,15,13],
2953  [1,16,14],
2954  [14,19,6],
2955  [6,20,15],
2956  [11,14,16],
2957  [17,18,11],
2958  [3,18,17],
2959  [21,18,8],
2960  [22,8,15],
2961  [23,19,14],
2962  [23,6,19],
2963  [23,20,6],
2964  [23,15,20],
2965  [24,14,11],
2966  [25,11,18],
2967  [21,26,18],
2968  [8,26,21],
2969  [22,26,8],
2970  [15,26,22],
2971  [14,27,23],
2972  [23,28,15],
2973  [24,29,14],
2974  [11,29,24],
2975  [25,29,11],
2976  [18,29,25],
2977  [30,18,26],
2978  [28,26,15],
2979  [29,27,14],
2980  [29,23,27],
2981  [26,28,23],
2982  [30,29,18],
2983  [26,29,30],
2984  [29,31,23],
2985  [23,31,26],
2986  [31,29,26]
2987  ],
2988  [
2989  [0,1],
2990  [0,2],
2991  [0,3],
2992  [0,4],
2993  [0,5],
2994  [0,6],
2995  [0,8],
2996  [0,10],
2997  [0,13],
2998  [0,15],
2999  [1,2],
3000  [1,3],
3001  [1,4],
3002  [1,6],
3003  [1,7],
3004  [1,9],
3005  [1,11],
3006  [1,14],
3007  [1,16],
3008  [2,3],
3009  [3,5],
3010  [3,7],
3011  [3,8],
3012  [3,11],
3013  [3,12],
3014  [3,17],
3015  [3,18],
3016  [4,6],
3017  [5,8],
3018  [6,9],
3019  [6,10],
3020  [6,14],
3021  [6,15],
3022  [6,19],
3023  [6,20],
3024  [6,23],
3025  [7,11],
3026  [8,12],
3027  [8,13],
3028  [8,15],
3029  [8,18],
3030  [8,21],
3031  [8,22],
3032  [8,26],
3033  [9,14],
3034  [10,15],
3035  [11,14],
3036  [11,16],
3037  [11,17],
3038  [11,18],
3039  [11,24],
3040  [11,25],
3041  [11,29],
3042  [12,18],
3043  [13,15],
3044  [14,16],
3045  [14,19],
3046  [14,23],
3047  [14,24],
3048  [14,27],
3049  [14,29],
3050  [15,20],
3051  [15,22],
3052  [15,23],
3053  [15,26],
3054  [15,28],
3055  [17,18],
3056  [18,21],
3057  [18,25],
3058  [18,26],
3059  [18,29],
3060  [18,30],
3061  [19,23],
3062  [20,23],
3063  [21,26],
3064  [22,26],
3065  [23,26],
3066  [23,27],
3067  [23,28],
3068  [23,29],
3069  [23,31],
3070  [24,29],
3071  [25,29],
3072  [26,28],
3073  [26,29],
3074  [26,30],
3075  [26,31],
3076  [27,29],
3077  [29,30],
3078  [29,31]
3079  ]
3080  ],
3081  [
3082  "archimedean_duals_triakis_octahedron",
3083  "Triakis-octahedron",
3084  empty_str,
3085  "archimedean_duals",
3086  "George W. Hart, 1997. george@li.net",
3087  [
3088  [ 0.00000000000, 1.41421356691, 0.00000000000],
3089  [-0.00000000000, 0.00000003680, -1.41421356830],
3090  [-0.58578641907, 0.58578642733, -0.58578648469],
3091  [-1.41421370446, -0.00000001119, 0.00000004562],
3092  [ 0.58578643764, 0.58578646663, -0.58578633512],
3093  [-0.58578646823, 0.58578646484, 0.58578644204],
3094  [ 1.41421370446, 0.00000001119, -0.00000004562],
3095  [-0.58578642040, -0.58578641355, -0.58578648780],
3096  [ 0.00000000000, -0.00000003680, 1.41421356830],
3097  [ 0.58578646823, -0.58578646484, -0.58578644204],
3098  [ 0.58578642040, 0.58578641355, 0.58578648780],
3099  [ 0.00000000000, -1.41421356691, 0.00000000000],
3100  [-0.58578643764, -0.58578646663, 0.58578633512],
3101  [ 0.58578641907, -0.58578642733, 0.58578648469]
3102  ],
3103  [
3104  [1.41421356691, 89.99999999999, 89.99999999999],
3105  [1.41421356830, 89.99999999999, 179.99999850913],
3106  [1.01461188287, 134.99999959623, 125.26439251769],
3107  [1.41421370446, -179.99999954681, 89.99999815161],
3108  [1.01461182992, 45.00000141798, 125.26438428773],
3109  [1.01461190828, 135.00000016553, 54.73561144661],
3110  [1.41421370446, 0.00000045318, 90.00000184838],
3111  [1.01461187748, -135.00000033463, 125.26439294822],
3112  [1.41421356830, -89.99999999999, 0.00000149086],
3113  [1.01461190828, -44.99999983445, 125.26438855338],
3114  [1.01461187748, 44.99999966536, 54.73560705177],
3115  [1.41421356691, -89.99999999999, 89.99999999999],
3116  [1.01461182992, -134.99999858201, 54.73561571226],
3117  [1.01461188287, -45.00000040376, 54.73560748230]
3118  ],
3119  [
3120  [1,0,2],
3121  [0,3,2],
3122  [1,4,0],
3123  [2,3,1],
3124  [5,3,0],
3125  [6,4,1],
3126  [6,0,4],
3127  [7,1,3],
3128  [5,8,3],
3129  [0,8,5],
3130  [1,9,6],
3131  [6,10,0],
3132  [7,11,1],
3133  [3,11,7],
3134  [12,3,8],
3135  [10,8,0],
3136  [11,9,1],
3137  [11,6,9],
3138  [8,10,6],
3139  [12,11,3],
3140  [8,11,12],
3141  [11,13,6],
3142  [6,13,8],
3143  [13,11,8]
3144  ],
3145  [
3146  [0,1],
3147  [0,2],
3148  [0,3],
3149  [0,4],
3150  [0,5],
3151  [0,6],
3152  [0,8],
3153  [0,10],
3154  [1,2],
3155  [1,3],
3156  [1,4],
3157  [1,6],
3158  [1,7],
3159  [1,9],
3160  [1,11],
3161  [2,3],
3162  [3,5],
3163  [3,7],
3164  [3,8],
3165  [3,11],
3166  [3,12],
3167  [4,6],
3168  [5,8],
3169  [6,8],
3170  [6,9],
3171  [6,10],
3172  [6,11],
3173  [6,13],
3174  [7,11],
3175  [8,10],
3176  [8,11],
3177  [8,12],
3178  [8,13],
3179  [9,11],
3180  [11,12],
3181  [11,13]
3182  ]
3183  ],
3184  [
3185  "archimedean_duals_triakis_tetrahedron",
3186  "Triakis-tetrahedron",
3187  empty_str,
3188  "archimedean_duals",
3189  "George W. Hart, 1997. george@li.net",
3190  [
3191  [ 0.00000000000, 1.73205113922, 0.00000000000],
3192  [ 1.41421310220, -0.57735025671, -0.81649662287],
3193  [-0.00000000000, 0.34640998257, -0.97979591140],
3194  [-1.41421344981, -0.57735038744, -0.81649643800],
3195  [ 0.84852816886, 0.34641021829, 0.48989788285],
3196  [-0.84852813268, 0.34641022788, 0.48989786928],
3197  [-0.00000005168, -0.57735016964, 1.63299346667],
3198  [ 0.00000005427, -1.03923045335, 0.00000019409]
3199  ],
3200  [
3201  [1.73205113922, 89.99999999999, 89.99999999999],
3202  [1.73205044746, -22.20766038913, 118.12551364281],
3203  [1.03923043836, 89.99999999999, 160.52878892978],
3204  [1.73205068770, -157.79233999925, 118.12550246063],
3205  [1.03923049816, 22.20765684163, 61.87449880719],
3206  [1.03923046542, 157.79234174813, 61.87449869060],
3207  [1.73205106177, -90.00000512871, 19.47121416866],
3208  [1.03923045335, -89.99999700782, 89.99998929901]
3209  ],
3210  [
3211  [1,0,2],
3212  [0,3,2],
3213  [1,4,0],
3214  [2,3,1],
3215  [5,3,0],
3216  [6,4,1],
3217  [6,0,4],
3218  [7,1,3],
3219  [5,6,3],
3220  [0,6,5],
3221  [1,7,6],
3222  [3,6,7]
3223  ],
3224  [
3225  [0,1],
3226  [0,2],
3227  [0,3],
3228  [0,4],
3229  [0,5],
3230  [0,6],
3231  [1,2],
3232  [1,3],
3233  [1,4],
3234  [1,6],
3235  [1,7],
3236  [2,3],
3237  [3,5],
3238  [3,6],
3239  [3,7],
3240  [4,6],
3241  [5,6],
3242  [6,7]
3243  ]
3244  ],
3245  [
3246  "archimedean_cuboctahedron",
3247  "Cuboctahedron",
3248  empty_str,
3249  "archimedean",
3250  "Exact Mathematics",
3251  [
3252  [ 1.00000000000, 0.00000000000, 1.00000000000],
3253  [ 0.00000000000, 1.00000000000, 1.00000000000],
3254  [-1.00000000000, 0.00000000000, 1.00000000000],
3255  [ 0.00000000000, -1.00000000000, 1.00000000000],
3256  [ 1.00000000000, 1.00000000000, 0.00000000000],
3257  [-1.00000000000, 1.00000000000, 0.00000000000],
3258  [-1.00000000000, -1.00000000000, 0.00000000000],
3259  [ 1.00000000000, -1.00000000000, 0.00000000000],
3260  [ 1.00000000000, 0.00000000000, -1.00000000000],
3261  [ 0.00000000000, 1.00000000000, -1.00000000000],
3262  [-1.00000000000, 0.00000000000, -1.00000000000],
3263  [ 0.00000000000, -1.00000000000, -1.00000000000]
3264  ],
3265  [
3266  [1.41421356237, 0.00000000000, 45.00000000000],
3267  [1.41421356237, 89.99999999999, 45.00000000000],
3268  [1.41421356237, 179.99999999999, 45.00000000000],
3269  [1.41421356237, -89.99999999999, 45.00000000000],
3270  [1.41421356237, 45.00000000000, 89.99999999999],
3271  [1.41421356237, 134.99999999999, 89.99999999999],
3272  [1.41421356237, -134.99999999999, 89.99999999999],
3273  [1.41421356237, -45.00000000000, 89.99999999999],
3274  [1.41421356237, 0.00000000000, 134.99999999999],
3275  [1.41421356237, 89.99999999999, 134.99999999999],
3276  [1.41421356237, 179.99999999999, 134.99999999999],
3277  [1.41421356237, -89.99999999999, 134.99999999999]
3278  ],
3279  [
3280  [3,2,1,0],
3281  [0,4,8,7],
3282  [1,5,9,4],
3283  [2,6,10,5],
3284  [3,7,11,6],
3285  [8,9,10,11],
3286  [0,1,4],
3287  [1,2,5],
3288  [2,3,6],
3289  [3,0,7],
3290  [4,9,8],
3291  [5,10,9],
3292  [6,11,10],
3293  [7,8,11]
3294  ],
3295  [
3296  [0,1],
3297  [1,2],
3298  [2,3],
3299  [3,0],
3300  [4,0],
3301  [0,7],
3302  [7,8],
3303  [8,4],
3304  [5,1],
3305  [1,4],
3306  [4,9],
3307  [9,5],
3308  [6,2],
3309  [2,5],
3310  [5,10],
3311  [10,6],
3312  [7,3],
3313  [3,6],
3314  [6,11],
3315  [11,7],
3316  [8,9],
3317  [9,10],
3318  [10,11],
3319  [11,8]
3320  ]
3321  ],
3322  [
3323  "archimedean_icosidodecahedron",
3324  "Icosidodecahedron",
3325  empty_str,
3326  "archimedean",
3327  "George W. Hart, 1997. george@li.net",
3328  [
3329  [ 0.00000000000, 0.00000000000, 1.05146200000],
3330  [ 0.61803400000, 0.00000000000, 0.85065080000],
3331  [ 0.27639320000, 0.55278640000, 0.85065080000],
3332  [-0.61803400000, 0.00000000000, 0.85065080000],
3333  [-0.27639320000, -0.55278640000, 0.85065080000],
3334  [ 1.00000000000, 0.00000000000, 0.32491970000],
3335  [ 0.72360680000, -0.55278640000, 0.52573110000],
3336  [-0.17082040000, 0.89442720000, 0.52573110000],
3337  [ 0.44721360000, 0.89442720000, 0.32491970000],
3338  [-1.00000000000, 0.00000000000, 0.32491970000],
3339  [-0.72360680000, 0.55278640000, 0.52573110000],
3340  [ 0.17082040000, -0.89442720000, 0.52573110000],
3341  [-0.44721360000, -0.89442720000, 0.32491970000],
3342  [ 1.00000000000, 0.00000000000, -0.32491970000],
3343  [ 0.89442720000, 0.55278640000, 0.00000000000],
3344  [ 0.55278640000, -0.89442720000, 0.00000000000],
3345  [-0.55278640000, 0.89442720000, 0.00000000000],
3346  [ 0.44721360000, 0.89442720000, -0.32491970000],
3347  [-1.00000000000, 0.00000000000, -0.32491970000],
3348  [-0.89442720000, -0.55278640000, 0.00000000000],
3349  [-0.44721360000, -0.89442720000, -0.32491970000],
3350  [ 0.61803400000, 0.00000000000, -0.85065080000],
3351  [ 0.72360680000, -0.55278640000, -0.52573110000],
3352  [ 0.17082040000, -0.89442720000, -0.52573110000],
3353  [-0.72360680000, 0.55278640000, -0.52573110000],
3354  [-0.17082040000, 0.89442720000, -0.52573110000],
3355  [ 0.27639320000, 0.55278640000, -0.85065080000],
3356  [-0.61803400000, 0.00000000000, -0.85065080000],
3357  [-0.27639320000, -0.55278640000, -0.85065080000],
3358  [ 0.00000000000, 0.00000000000, -1.05146200000]
3359  ],
3360  [
3361  [1.05146200000, 0.00000000000, 0.00000000000],
3362  [1.05146222409, 0.00000000000, 36.00000076346],
3363  [1.05146221452, 63.43494882292, 36.00000004571],
3364  [1.05146222409, 179.99999999999, 36.00000076346],
3365  [1.05146221452, -116.56505117707, 36.00000004571],
3366  [1.05146222540, 0.00000000000, 71.99999980477],
3367  [1.05146221736, -37.37736782970, 60.00000054620],
3368  [1.05146222693, 100.81231727452, 60.00000084727],
3369  [1.05146223497, 63.43494882292, 71.99999997421],
3370  [1.05146222540, 179.99999999999, 71.99999980477],
3371  [1.05146221736, 142.62263217029, 60.00000054620],
3372  [1.05146222693, -79.18768272547, 60.00000084727],
3373  [1.05146223497, -116.56505117707, 71.99999997421],
3374  [1.05146222540, 0.00000000000, 108.00000019522],
3375  [1.05146222953, 31.71747394503, 89.99999999999],
3376  [1.05146222953, -58.28252605496, 89.99999999999],
3377  [1.05146222953, 121.71747394503, 89.99999999999],
3378  [1.05146223497, 63.43494882292, 108.00000002578],
3379  [1.05146222540, 179.99999999999, 108.00000019522],
3380  [1.05146222953, -148.28252605495, 89.99999999999],
3381  [1.05146223497, -116.56505117707, 108.00000002578],
3382  [1.05146222409, 0.00000000000, 143.99999923652],
3383  [1.05146221736, -37.37736782970, 119.99999945379],
3384  [1.05146222693, -79.18768272547, 119.99999915272],
3385  [1.05146221736, 142.62263217029, 119.99999945379],
3386  [1.05146222693, 100.81231727452, 119.99999915272],
3387  [1.05146221452, 63.43494882292, 143.99999995428],
3388  [1.05146222409, 179.99999999999, 143.99999923652],
3389  [1.05146221452, -116.56505117707, 143.99999995428],
3390  [1.05146200000, 0.00000000000, 179.99999999999]
3391  ],
3392  [
3393  [2,1,0],
3394  [4,3,0],
3395  [5,6,1],
3396  [7,8,2],
3397  [9,10,3],
3398  [11,12,4],
3399  [14,13,5],
3400  [15,11,6],
3401  [10,16,7],
3402  [17,14,8],
3403  [19,18,9],
3404  [20,19,12],
3405  [21,22,13],
3406  [22,23,15],
3407  [24,25,16],
3408  [25,26,17],
3409  [27,24,18],
3410  [23,28,20],
3411  [26,29,21],
3412  [28,29,27],
3413  [3,10,7,2,0],
3414  [1,6,11,4,0],
3415  [2,8,14,5,1],
3416  [4,12,19,9,3],
3417  [13,22,15,6,5],
3418  [16,25,17,8,7],
3419  [18,24,16,10,9],
3420  [15,23,20,12,11],
3421  [14,17,26,21,13],
3422  [19,20,28,27,18],
3423  [29,28,23,22,21],
3424  [27,29,26,25,24]
3425  ],
3426  [
3427  [0,1],
3428  [0,2],
3429  [0,3],
3430  [0,4],
3431  [1,2],
3432  [1,5],
3433  [1,6],
3434  [2,7],
3435  [2,8],
3436  [3,4],
3437  [3,9],
3438  [3,10],
3439  [4,11],
3440  [4,12],
3441  [5,6],
3442  [5,13],
3443  [5,14],
3444  [6,11],
3445  [6,15],
3446  [7,8],
3447  [7,10],
3448  [7,16],
3449  [8,14],
3450  [8,17],
3451  [9,10],
3452  [9,18],
3453  [9,19],
3454  [10,16],
3455  [11,12],
3456  [11,15],
3457  [12,19],
3458  [12,20],
3459  [13,14],
3460  [13,21],
3461  [13,22],
3462  [14,17],
3463  [15,22],
3464  [15,23],
3465  [16,24],
3466  [16,25],
3467  [17,25],
3468  [17,26],
3469  [18,19],
3470  [18,24],
3471  [18,27],
3472  [19,20],
3473  [20,23],
3474  [20,28],
3475  [21,22],
3476  [21,26],
3477  [21,29],
3478  [22,23],
3479  [23,28],
3480  [24,25],
3481  [24,27],
3482  [25,26],
3483  [26,29],
3484  [27,28],
3485  [27,29],
3486  [28,29]
3487  ]
3488  ],
3489  [
3490  "archimedean_rhombicosidodecahedron",
3491  "Rhombicosidodecahedron",
3492  empty_str,
3493  "archimedean",
3494  "George W. Hart, 1997. george@li.net",
3495  [
3496  [ 0.00000000000, 0.00000000000, 1.02605400000],
3497  [ 0.44783800000, 0.00000000000, 0.92316170000],
3498  [-0.02363976000, 0.44721360000, 0.92316170000],
3499  [-0.40507320000, 0.19098300000, 0.92316170000],
3500  [-0.16933440000, -0.41458980000, 0.92316170000],
3501  [ 0.42419820000, 0.44721360000, 0.82026960000],
3502  [ 0.76738180000, 0.19098300000, 0.65378680000],
3503  [ 0.55528270000, -0.41458980000, 0.75667880000],
3504  [-0.23122410000, 0.75623060000, 0.65378680000],
3505  [-0.57440760000, -0.22360680000, 0.82026960000],
3506  [-0.61265760000, 0.50000000000, 0.65378680000],
3507  [ 0.17384920000, -0.67082040000, 0.75667880000],
3508  [-0.46696290000, -0.63819660000, 0.65378680000],
3509  [ 0.49339300000, 0.75623060000, 0.48730390000],
3510  [ 0.87482650000, -0.22360680000, 0.48730390000],
3511  [ 0.83657650000, 0.50000000000, 0.32082100000],
3512  [ 0.70549210000, -0.63819660000, 0.38441180000],
3513  [ 0.08831973000, 0.94721360000, 0.38441180000],
3514  [-0.54346280000, 0.80901700000, 0.32082100000],
3515  [-0.88664630000, -0.17082040000, 0.48730390000],
3516  [-0.91028610000, 0.27639320000, 0.38441180000],
3517  [-0.12377940000, -0.89442720000, 0.48730390000],
3518  [ 0.32405860000, -0.89442720000, 0.38441180000],
3519  [-0.77920160000, -0.58541020000, 0.32082100000],
3520  [ 0.62899220000, 0.80901700000, 0.05144604000],
3521  [ 1.01042600000, -0.17082040000, 0.05144604000],
3522  [ 0.98678590000, 0.27639320000, -0.05144604000],
3523  [ 0.84109130000, -0.58541020000, -0.05144604000],
3524  [-0.22391900000, 1.00000000000, 0.05144604000],
3525  [ 0.22391900000, 1.00000000000, -0.05144604000],
3526  [-0.84109130000, 0.58541020000, 0.05144604000],
3527  [-0.98678590000, -0.27639320000, 0.05144604000],
3528  [-1.01042600000, 0.17082040000, -0.05144604000],
3529  [-0.22391900000, -1.00000000000, 0.05144604000],
3530  [ 0.22391900000, -1.00000000000, -0.05144604000],
3531  [-0.62899220000, -0.80901700000, -0.05144604000],
3532  [ 0.77920160000, 0.58541020000, -0.32082100000],
3533  [ 0.91028610000, -0.27639320000, -0.38441180000],
3534  [ 0.88664630000, 0.17082040000, -0.48730390000],
3535  [ 0.54346280000, -0.80901700000, -0.32082100000],
3536  [-0.32405860000, 0.89442720000, -0.38441180000],
3537  [ 0.12377940000, 0.89442720000, -0.48730390000],
3538  [-0.70549210000, 0.63819660000, -0.38441180000],
3539  [-0.83657650000, -0.50000000000, -0.32082100000],
3540  [-0.87482650000, 0.22360680000, -0.48730390000],
3541  [-0.08831973000, -0.94721360000, -0.38441180000],
3542  [-0.49339300000, -0.75623060000, -0.48730390000],
3543  [ 0.46696290000, 0.63819660000, -0.65378680000],
3544  [ 0.61265760000, -0.50000000000, -0.65378680000],
3545  [ 0.57440760000, 0.22360680000, -0.82026960000],
3546  [ 0.23122410000, -0.75623060000, -0.65378680000],
3547  [-0.17384920000, 0.67082040000, -0.75667880000],
3548  [-0.55528270000, 0.41458980000, -0.75667880000],
3549  [-0.76738180000, -0.19098300000, -0.65378680000],
3550  [-0.42419820000, -0.44721360000, -0.82026960000],
3551  [ 0.16933440000, 0.41458980000, -0.92316170000],
3552  [ 0.40507320000, -0.19098300000, -0.92316170000],
3553  [ 0.02363976000, -0.44721360000, -0.92316170000],
3554  [-0.44783800000, 0.00000000000, -0.92316170000],
3555  [ 0.00000000000, 0.00000000000, -1.02605400000]
3556  ],
3557  [
3558  [1.02605400000, 0.00000000000, 0.00000000000],
3559  [1.02605379907, 0.00000000000, 25.87863946032],
3560  [1.02605378350, 93.02584502980, 25.87863766724],
3561  [1.02605376467, 154.75716551729, 25.87863550033],
3562  [1.02605378301, -112.21699072712, 25.87863761169],
3563  [1.02605376740, 46.51292280560, 36.92323115163],
3564  [1.02605385488, 13.97562138908, 50.41772025871],
3565  [1.02605379272, -36.74606097804, 42.48407886988],
3566  [1.02605384101, 107.00146913438, 50.41771961837],
3567  [1.02605375523, -158.72990977078, 36.92323024763],
3568  [1.02605385565, 140.78154683401, 50.41772029419],
3569  [1.02605378015, -75.47092320856, 42.48407810369],
3570  [1.02605381442, -126.19260960319, 50.41771839072],
3571  [1.02605383084, 56.87807432731, 61.64519778692],
3572  [1.02605384706, -14.33789625152, 61.64519827570],
3573  [1.02605377753, 30.86566216850, 71.77950886770],
3574  [1.02605381701, -42.13287071812, 67.99727322825],
3575  [1.02605380498, 84.67305060271, 67.99727295686],
3576  [1.02605381697, 123.89150656284, 71.77950959254],
3577  [1.02605378091, -169.09506295665, 61.64519628217],
3578  [1.02605380796, 163.10996149775, 67.99727302423],
3579  [1.02605382262, -97.87909363115, 61.64519753931],
3580  [1.02605381161, -70.08411643659, 67.99727310642],
3581  [1.02605377527, -143.08264822785, 71.77950882609],
3582  [1.02605379439, 52.13575161616, 87.12600115411],
3583  [1.02605409485, -9.59556958271, 87.12600199642],
3584  [1.02605375516, 15.64726159312, 92.87399895586],
3585  [1.02605378623, -34.83840577676, 92.87399886876],
3586  [1.02605380638, 102.62141758317, 87.12600118773],
3587  [1.02605380638, 77.37858241682, 92.87399881226],
3588  [1.02605378623, 145.16159422323, 87.12600113123],
3589  [1.02605375516, -164.35273840687, 87.12600104413],
3590  [1.02605409485, 170.40443041727, 92.87399800357],
3591  [1.02605380638, -102.62141758317, 87.12600118773],
3592  [1.02605380638, -77.37858241682, 92.87399881226],
3593  [1.02605379439, -127.86424838383, 92.87399884588],
3594  [1.02605377527, 36.91735177214, 108.22049117390],
3595  [1.02605380796, -16.89003850224, 112.00272697576],
3596  [1.02605378091, 10.90493704334, 118.35480371782],
3597  [1.02605381697, -56.10849343714, 108.22049040744],
3598  [1.02605381161, 109.91588356340, 112.00272689357],
3599  [1.02605382262, 82.12090636884, 118.35480246068],
3600  [1.02605381701, 137.86712928187, 112.00272677174],
3601  [1.02605377753, -149.13433783149, 108.22049113229],
3602  [1.02605384706, 165.66210374847, 118.35480172429],
3603  [1.02605380498, -95.32694939728, 112.00272704313],
3604  [1.02605383084, -123.12192567268, 118.35480221307],
3605  [1.02605381442, 53.80739039680, 129.58228160927],
3606  [1.02605385565, -39.21845316598, 129.58227970579],
3607  [1.02605375523, 21.27009022921, 143.07676975236],
3608  [1.02605384101, -72.99853086561, 129.58228038162],
3609  [1.02605378015, 104.52907679143, 137.51592189630],
3610  [1.02605379272, 143.25393902195, 137.51592113011],
3611  [1.02605385488, -166.02437861090, 129.58227974128],
3612  [1.02605376740, -133.48707719438, 143.07676884836],
3613  [1.02605378301, 67.78300927287, 154.12136238830],
3614  [1.02605376467, -25.24283448269, 154.12136449965],
3615  [1.02605378350, -86.97415497019, 154.12136233275],
3616  [1.02605379907, 179.99999999999, 154.12136053967],
3617  [1.02605400000, 0.00000000000, 179.99999999999]
3618  ],
3619  [
3620  [3,2,0],
3621  [5,6,1],
3622  [12,9,4],
3623  [14,16,7],
3624  [10,18,8],
3625  [22,21,11],
3626  [24,15,13],
3627  [28,29,17],
3628  [23,31,19],
3629  [32,30,20],
3630  [37,27,25],
3631  [36,38,26],
3632  [34,45,33],
3633  [46,43,35],
3634  [48,50,39],
3635  [51,41,40],
3636  [44,52,42],
3637  [55,49,47],
3638  [54,58,53],
3639  [59,57,56],
3640  [2,5,1,0],
3641  [4,9,3,0],
3642  [6,14,7,1],
3643  [3,10,8,2],
3644  [11,21,12,4],
3645  [13,15,6,5],
3646  [16,22,11,7],
3647  [18,28,17,8],
3648  [12,23,19,9],
3649  [20,30,18,10],
3650  [17,29,24,13],
3651  [25,27,16,14],
3652  [24,36,26,15],
3653  [31,32,20,19],
3654  [22,34,33,21],
3655  [35,43,31,23],
3656  [26,38,37,25],
3657  [37,48,39,27],
3658  [40,41,29,28],
3659  [32,44,42,30],
3660  [45,46,35,33],
3661  [39,50,45,34],
3662  [47,49,38,36],
3663  [42,52,51,40],
3664  [51,55,47,41],
3665  [46,54,53,43],
3666  [53,58,52,44],
3667  [56,57,50,48],
3668  [55,59,56,49],
3669  [57,59,58,54],
3670  [1,7,11,4,0],
3671  [8,17,13,5,2],
3672  [9,19,20,10,3],
3673  [15,26,25,14,6],
3674  [21,33,35,23,12],
3675  [27,39,34,22,16],
3676  [30,42,40,28,18],
3677  [29,41,47,36,24],
3678  [43,53,44,32,31],
3679  [38,49,56,48,37],
3680  [50,57,54,46,45],
3681  [52,58,59,55,51]
3682  ],
3683  [
3684  [0,1],
3685  [0,2],
3686  [0,3],
3687  [0,4],
3688  [1,5],
3689  [1,6],
3690  [1,7],
3691  [2,3],
3692  [2,5],
3693  [2,8],
3694  [3,9],
3695  [3,10],
3696  [4,9],
3697  [4,11],
3698  [4,12],
3699  [5,6],
3700  [5,13],
3701  [6,14],
3702  [6,15],
3703  [7,11],
3704  [7,14],
3705  [7,16],
3706  [8,10],
3707  [8,17],
3708  [8,18],
3709  [9,12],
3710  [9,19],
3711  [10,18],
3712  [10,20],
3713  [11,21],
3714  [11,22],
3715  [12,21],
3716  [12,23],
3717  [13,15],
3718  [13,17],
3719  [13,24],
3720  [14,16],
3721  [14,25],
3722  [15,24],
3723  [15,26],
3724  [16,22],
3725  [16,27],
3726  [17,28],
3727  [17,29],
3728  [18,28],
3729  [18,30],
3730  [19,20],
3731  [19,23],
3732  [19,31],
3733  [20,30],
3734  [20,32],
3735  [21,22],
3736  [21,33],
3737  [22,34],
3738  [23,31],
3739  [23,35],
3740  [24,29],
3741  [24,36],
3742  [25,26],
3743  [25,27],
3744  [25,37],
3745  [26,36],
3746  [26,38],
3747  [27,37],
3748  [27,39],
3749  [28,29],
3750  [28,40],
3751  [29,41],
3752  [30,32],
3753  [30,42],
3754  [31,32],
3755  [31,43],
3756  [32,44],
3757  [33,34],
3758  [33,35],
3759  [33,45],
3760  [34,39],
3761  [34,45],
3762  [35,43],
3763  [35,46],
3764  [36,38],
3765  [36,47],
3766  [37,38],
3767  [37,48],
3768  [38,49],
3769  [39,48],
3770  [39,50],
3771  [40,41],
3772  [40,42],
3773  [40,51],
3774  [41,47],
3775  [41,51],
3776  [42,44],
3777  [42,52],
3778  [43,46],
3779  [43,53],
3780  [44,52],
3781  [44,53],
3782  [45,46],
3783  [45,50],
3784  [46,54],
3785  [47,49],
3786  [47,55],
3787  [48,50],
3788  [48,56],
3789  [49,55],
3790  [49,56],
3791  [50,57],
3792  [51,52],
3793  [51,55],
3794  [52,58],
3795  [53,54],
3796  [53,58],
3797  [54,57],
3798  [54,58],
3799  [55,59],
3800  [56,57],
3801  [56,59],
3802  [57,59],
3803  [58,59]
3804  ]
3805  ],
3806  [
3807  "archimedean_rhombicuboctahedron",
3808  "Rhombicuboctahedron",
3809  empty_str,
3810  "archimedean",
3811  "George W. Hart, 1997. george@li.net",
3812  [
3813  [-0.38268328143, 0.92387933161, 0.38268275114],
3814  [-0.38268343592, 0.92387933161, -0.38268395285],
3815  [-0.92387956713, 0.38268363700, 0.38268319358],
3816  [-0.38268348346, 0.38268394530, 0.92387928288],
3817  [ 0.38268342775, 0.92387976304, 0.38268292984],
3818  [-0.92387954291, 0.38268320557, -0.38268368911],
3819  [-0.38268347397, 0.38268302193, -0.92388015529],
3820  [ 0.38268345196, 0.92387933161, -0.38268395285],
3821  [-0.92387953022, -0.38268325141, 0.38268356327],
3822  [ 0.38268340442, 0.38268394530, 0.92387928288],
3823  [-0.38268343288, -0.38268297614, 0.92387974597],
3824  [ 0.92387952807, 0.38268362957, 0.38268319029],
3825  [-0.92387952807, -0.38268362957, -0.38268319029],
3826  [ 0.38268343288, 0.38268297614, -0.92387974597],
3827  [-0.38268340442, -0.38268394530, -0.92387928288],
3828  [ 0.92387953022, 0.38268325141, -0.38268356327],
3829  [-0.38268345196, -0.92387933161, 0.38268395285],
3830  [ 0.38268347397, -0.38268302193, 0.92388015529],
3831  [ 0.92387954291, -0.38268320557, 0.38268368911],
3832  [-0.38268342775, -0.92387976304, -0.38268292984],
3833  [ 0.38268348346, -0.38268394530, -0.92387928288],
3834  [ 0.92387956713, -0.38268363700, -0.38268319358],
3835  [ 0.38268343592, -0.92387933161, 0.38268395285],
3836  [ 0.38268328143, -0.92387933161, -0.38268275114]
3837  ],
3838  [
3839  [1.07072200000, 112.49999641510, 69.05900891887],
3840  [1.07072248472, 112.50000459306, 110.94105000815],
3841  [1.07072248843, 157.49998992667, 69.05899357100],
3842  [1.07072245696, 134.99996542698, 30.36121857159],
3843  [1.07072248843, 67.50000529880, 69.05900868190],
3844  [1.07072249045, 157.50001223320, 110.94103477982],
3845  [1.07072287631, 135.00003384006, 149.63883548151],
3846  [1.07072249045, 67.49999455764, 110.94104989073],
3847  [1.07072245090, -157.50000952836, 69.05897162082],
3848  [1.07072242871, 45.00004049049, 30.36121599080],
3849  [1.07072249208, -135.00003419220, 30.36117275276],
3850  [1.07072245090, 22.50001053653, 69.05899299087],
3851  [1.07072245090, -157.49998946346, 110.94100700912],
3852  [1.07072249208, 44.99996580779, 149.63882724723],
3853  [1.07072242871, -134.99995950950, 149.63878400919],
3854  [1.07072245090, 22.49999047163, 110.94102837917],
3855  [1.07072249045, -112.50000544234, 69.05895010926],
3856  [1.07072287631, -44.99996615993, 30.36116451848],
3857  [1.07072249045, -22.49998776678, 69.05896522017],
3858  [1.07072248843, -112.49999470119, 110.94099131809],
3859  [1.07072245696, -45.00003457301, 149.63878142840],
3860  [1.07072248843, -22.50001007332, 110.94100642899],
3861  [1.07072248472, -67.49999540692, 69.05894999184],
3862  [1.07072200000, -67.50000358489, 110.94099108112]
3863  ],
3864  [
3865  [2,5,1,0],
3866  [3,0,4,9],
3867  [0,1,7,4],
3868  [7,1,6,13],
3869  [12,5,2,8],
3870  [2,3,10,8],
3871  [10,3,9,17],
3872  [4,7,15,11],
3873  [6,5,12,14],
3874  [20,13,6,14],
3875  [19,12,8,16],
3876  [11,18,17,9],
3877  [22,16,10,17],
3878  [11,15,21,18],
3879  [13,20,21,15],
3880  [20,14,19,23],
3881  [19,16,22,23],
3882  [21,23,22,18],
3883  [0,3,2],
3884  [1,5,6],
3885  [4,11,9],
3886  [7,13,15],
3887  [10,16,8],
3888  [14,12,19],
3889  [18,22,17],
3890  [21,20,23]
3891  ],
3892  [
3893  [0,1],
3894  [0,2],
3895  [0,3],
3896  [0,4],
3897  [1,5],
3898  [1,6],
3899  [1,7],
3900  [2,3],
3901  [2,5],
3902  [2,8],
3903  [3,9],
3904  [3,10],
3905  [4,7],
3906  [4,9],
3907  [4,11],
3908  [5,6],
3909  [5,12],
3910  [6,13],
3911  [6,14],
3912  [7,13],
3913  [7,15],
3914  [8,10],
3915  [8,12],
3916  [8,16],
3917  [9,11],
3918  [9,17],
3919  [10,16],
3920  [10,17],
3921  [11,15],
3922  [11,18],
3923  [12,14],
3924  [12,19],
3925  [13,15],
3926  [13,20],
3927  [14,19],
3928  [14,20],
3929  [15,21],
3930  [16,19],
3931  [16,22],
3932  [17,18],
3933  [17,22],
3934  [18,21],
3935  [18,22],
3936  [19,23],
3937  [20,21],
3938  [20,23],
3939  [21,23],
3940  [22,23]
3941  ]
3942  ],
3943  [
3944  "archimedean_snub_cuboctahedron",
3945  "Snub Cuboctahedron",
3946  empty_str,
3947  "archimedean",
3948  "George W. Hart, 1997. george@li.net",
3949  [
3950  [-0.27080486838, 0.91612592153, -0.49808755020],
3951  [ 0.49808752302, 0.91612592153, -0.27080485082],
3952  [ 0.27080461020, 0.49808762370, -0.91612594227],
3953  [-0.49808776095, 0.27080472331, -0.91612586036],
3954  [-0.91612603041, 0.49808754905, -0.27080459790],
3955  [-0.49808755600, 0.91612592153, 0.27080487431],
3956  [ 0.27080483540, 0.91612592153, 0.49808757369],
3957  [ 0.91612638185, 0.49808776091, 0.27080461106],
3958  [ 0.91612582460, 0.27080477644, -0.49808782776],
3959  [ 0.49808737939, -0.27080467879, -0.91612587453],
3960  [-0.27080496579, -0.49808761926, -0.91612588047],
3961  [-0.91612638116, -0.27080488360, -0.49808748945],
3962  [-0.91612582693, 0.27080476883, 0.49808776457],
3963  [-0.27080454048, 0.49808753367, 0.91612582796],
3964  [ 0.49808778376, 0.27080473693, 0.91612584341],
3965  [ 0.91612599837, -0.27080473304, 0.49808741445],
3966  [ 0.91612591445, -0.49808759505, -0.27080488342],
3967  [ 0.27080470991, -0.91612597736, -0.49808767275],
3968  [-0.49808763898, -0.91612596752, -0.27080463049],
3969  [-0.91612587282, -0.49808764658, 0.27080495527],
3970  [-0.49808740806, -0.27080480939, 0.91612601632],
3971  [ 0.27080490915, -0.49808763944, 0.91612593107],
3972  [ 0.49808769710, -0.91612596056, 0.27080465324],
3973  [-0.27080465180, -0.91612595072, 0.49808769550]
3974  ],
3975  [
3976  [1.07736400000, 106.46756696343, 117.53695200801],
3977  [1.07736398302, 61.46756400888, 104.55792985199],
3978  [1.07736398673, 61.46757444337, 148.24869417527],
3979  [1.07736400896, 151.46757102596, 148.24868398663],
3980  [1.07736402407, 151.46756561016, 104.55791538808],
3981  [1.07736400417, 118.53243758301, 75.44206914970],
3982  [1.07736400257, 73.53243493329, 62.46304665467],
3983  [1.07736442417, 28.53243539300, 75.44208941452],
3984  [1.07736402279, 16.46756332351, 117.53696802255],
3985  [1.07736383341, -28.53244343978, 148.24870050408],
3986  [1.07736402150, -118.53245734220, 148.24868494079],
3987  [1.07736436659, -163.53243997559, 117.53693819966],
3988  [1.07736399364, 163.53243715351, 62.46303495878],
3989  [1.07736383038, 118.53242371225, 31.75130394128],
3990  [1.07736400852, 28.53242908251, 31.75131768838],
3991  [1.07736396857, -16.46755787311, 62.46305526226],
3992  [1.07736401850, -28.53243965349, 104.55793115311],
3993  [1.07736406430, -73.53244309997, 117.53695757482],
3994  [1.07736402036, -118.53244038155, 104.55791723032],
3995  [1.07736402498, -151.46755676624, 75.44206498868],
3996  [1.07736400007, -151.46754634816, 31.75129948809],
3997  [1.07736405962, -61.46754866063, 31.75131322146],
3998  [1.07736404703, -61.46755663058, 75.44208188813],
3999  [1.07736403756, -106.46755401042, 62.46304031944]
4000  ],
4001  [
4002  [1,6,5,0],
4003  [3,10,9,2],
4004  [12,19,11,4],
4005  [8,16,15,7],
4006  [14,21,20,13],
4007  [18,23,22,17],
4008  [2,1,0],
4009  [3,2,0],
4010  [4,3,0],
4011  [5,4,0],
4012  [7,6,1],
4013  [8,7,1],
4014  [2,8,1],
4015  [9,8,2],
4016  [11,10,3],
4017  [4,11,3],
4018  [5,12,4],
4019  [13,12,5],
4020  [6,13,5],
4021  [14,13,6],
4022  [7,14,6],
4023  [15,14,7],
4024  [9,16,8],
4025  [17,16,9],
4026  [10,17,9],
4027  [18,17,10],
4028  [11,18,10],
4029  [19,18,11],
4030  [20,19,12],
4031  [13,20,12],
4032  [15,21,14],
4033  [22,21,15],
4034  [16,22,15],
4035  [17,22,16],
4036  [19,23,18],
4037  [20,23,19],
4038  [21,23,20],
4039  [22,23,21]
4040  ],
4041  [
4042  [0,1],
4043  [0,2],
4044  [0,3],
4045  [0,4],
4046  [0,5],
4047  [1,2],
4048  [1,6],
4049  [1,7],
4050  [1,8],
4051  [2,3],
4052  [2,8],
4053  [2,9],
4054  [3,4],
4055  [3,10],
4056  [3,11],
4057  [4,5],
4058  [4,11],
4059  [4,12],
4060  [5,6],
4061  [5,12],
4062  [5,13],
4063  [6,7],
4064  [6,13],
4065  [6,14],
4066  [7,8],
4067  [7,14],
4068  [7,15],
4069  [8,9],
4070  [8,16],
4071  [9,10],
4072  [9,16],
4073  [9,17],
4074  [10,11],
4075  [10,17],
4076  [10,18],
4077  [11,18],
4078  [11,19],
4079  [12,13],
4080  [12,19],
4081  [12,20],
4082  [13,14],
4083  [13,20],
4084  [14,15],
4085  [14,21],
4086  [15,16],
4087  [15,21],
4088  [15,22],
4089  [16,17],
4090  [16,22],
4091  [17,18],
4092  [17,22],
4093  [18,19],
4094  [18,23],
4095  [19,20],
4096  [19,23],
4097  [20,21],
4098  [20,23],
4099  [21,22],
4100  [21,23],
4101  [22,23]
4102  ]
4103  ],
4104  [
4105  "archimedean_snub_icosidodecahedron",
4106  "Snub Icosidodecahedron",
4107  "Snub Dodecahedron",
4108  "archimedean",
4109  "George W. Hart, 1997. george@li.net",
4110  [
4111  [ 0.00000000000, 0.00000000000, 1.02803100000],
4112  [ 0.46385690000, 0.00000000000, 0.91743420000],
4113  [ 0.21874360000, 0.40904090000, 0.91743420000],
4114  [-0.25754860000, 0.38578740000, 0.91743420000],
4115  [-0.46165090000, -0.04518499000, 0.91743420000],
4116  [-0.17785800000, -0.42840370000, 0.91743420000],
4117  [ 0.57267820000, -0.42840370000, 0.73848410000],
4118  [ 0.82594010000, -0.04518499000, 0.61043420000],
4119  [ 0.64379550000, 0.38578740000, 0.70252700000],
4120  [ 0.34964800000, 0.74964330000, 0.61043420000],
4121  [-0.42100900000, 0.71201840000, 0.61043420000],
4122  [-0.67831390000, 0.32123960000, 0.70252700000],
4123  [-0.60315360000, -0.44666580000, 0.70252700000],
4124  [-0.27496120000, -0.78013790000, 0.61043420000],
4125  [ 0.17607660000, -0.69317170000, 0.73848410000],
4126  [ 0.52081380000, -0.78013790000, 0.42069780000],
4127  [ 0.85525180000, -0.44666580000, 0.35479980000],
4128  [ 1.01294000000, -0.03548596000, 0.17187760000],
4129  [ 0.71822390000, 0.66184200000, 0.32088680000],
4130  [ 0.36336910000, 0.94545680000, 0.17584960000],
4131  [-0.04574087000, 0.93689370000, 0.42069780000],
4132  [-0.45373940000, 0.90556400000, 0.17584960000],
4133  [-0.77927910000, 0.58873120000, 0.32088680000],
4134  [-0.95372170000, 0.14622170000, 0.35479980000],
4135  [-0.90727010000, -0.32836990000, 0.35479980000],
4136  [-0.65033710000, -0.72865770000, 0.32088680000],
4137  [ 0.08459482000, -0.96115010000, 0.35479980000],
4138  [ 0.39491530000, -0.94912620000, -0.00707255800],
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4140  [ 0.98293820000, 0.02692292000, -0.29992740000],
4141  [ 0.94636770000, 0.40148080000, -0.00707255800],
4142  [ 0.67045780000, 0.76628260000, -0.14193660000],
4143  [-0.05007646000, 1.02569800000, -0.04779978000],
4144  [-0.42943370000, 0.88457840000, -0.29992740000],
4145  [-0.95616810000, 0.37193210000, -0.06525234000],
4146  [-1.02203600000, -0.10003380000, -0.04779978000],
4147  [-0.86590560000, -0.55027120000, -0.06525234000],
4148  [-0.52277610000, -0.87785350000, -0.11369780000],
4149  [-0.06856319000, -1.02154200000, -0.09273844000],
4150  [ 0.22320460000, -0.89748780000, -0.44893660000],
4151  [ 0.65154380000, -0.72009470000, -0.33734720000],
4152  [ 0.79695350000, -0.32539590000, -0.56198880000],
4153  [ 0.80668720000, 0.43953540000, -0.46142500000],
4154  [ 0.44680350000, 0.73578800000, -0.56198880000],
4155  [ 0.00148880100, 0.89611550000, -0.50380900000],
4156  [-0.35354030000, 0.65376580000, -0.71024520000],
4157  [-0.73995170000, 0.55477580000, -0.44893660000],
4158  [-0.91202380000, 0.11021960000, -0.46142500000],
4159  [-0.65939980000, -0.61827980000, -0.48966390000],
4160  [-0.24906510000, -0.86080880000, -0.50380900000],
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4162  [ 0.50575770000, -0.13052830000, -0.88544920000],
4163  [ 0.51177350000, 0.34222520000, -0.82329730000],
4164  [ 0.09739587000, 0.57719410000, -0.84510930000],
4165  [-0.60189460000, 0.25525910000, -0.79335640000],
4166  [-0.68790240000, -0.21007410000, -0.73451200000],
4167  [-0.33404370000, -0.51715090000, -0.82329730000],
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4169  [ 0.12773540000, 0.13136350000, -1.01157100000],
4170  [-0.30444990000, -0.06760332000, -0.97958600000]
4171  ],
4172  [
4173  [1.02803100000, 0.00000000000, 0.00000000000],
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4175  [1.02803148383, 61.86337836377, 26.82126855409],
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4213  [1.02803153339, -47.86111248707, 109.15644691473],
4214  [1.02803150935, -22.21018055259, 123.13851450032],
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4220  [1.02803151830, 173.10912700865, 116.66949177767],
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4225  [1.02803144261, 33.77082156104, 143.21119178179],
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4227  [1.02803146599, 157.01855416105, 140.50894237318],
4228  [1.02803147693, -163.01818902736, 135.60092371133],
4229  [1.02803146405, -122.85966294312, 143.21119018453],
4230  [1.02803151925, -75.90897675581, 159.97493116783],
4231  [1.02803141469, 45.80224668162, 169.73317851975],
4232  [1.02803145958, -167.48055647785, 162.34037858498]
4233  ],
4234  [
4235  [2,1,0],
4236  [3,2,0],
4237  [4,3,0],
4238  [5,4,0],
4239  [7,6,1],
4240  [8,7,1],
4241  [2,8,1],
4242  [9,8,2],
4243  [11,10,3],
4244  [4,11,3],
4245  [5,12,4],
4246  [13,12,5],
4247  [14,13,5],
4248  [15,14,6],
4249  [16,15,6],
4250  [7,16,6],
4251  [17,16,7],
4252  [9,18,8],
4253  [19,18,9],
4254  [20,19,9],
4255  [21,20,10],
4256  [22,21,10],
4257  [11,22,10],
4258  [23,22,11],
4259  [25,24,12],
4260  [13,25,12],
4261  [14,26,13],
4262  [15,26,14],
4263  [27,26,15],
4264  [17,28,16],
4265  [29,28,17],
4266  [30,29,17],
4267  [31,30,18],
4268  [19,31,18],
4269  [20,32,19],
4270  [21,32,20],
4271  [33,32,21],
4272  [23,34,22],
4273  [35,34,23],
4274  [24,35,23],
4275  [36,35,24],
4276  [25,36,24],
4277  [37,36,25],
4278  [27,38,26],
4279  [39,38,27],
4280  [40,39,27],
4281  [41,40,28],
4282  [29,41,28],
4283  [30,42,29],
4284  [31,42,30],
4285  [43,42,31],
4286  [33,44,32],
4287  [45,44,33],
4288  [46,45,33],
4289  [47,46,34],
4290  [35,47,34],
4291  [37,48,36],
4292  [49,48,37],
4293  [38,49,37],
4294  [39,49,38],
4295  [40,50,39],
4296  [41,50,40],
4297  [51,50,41],
4298  [43,52,42],
4299  [53,52,43],
4300  [44,53,43],
4301  [45,53,44],
4302  [46,54,45],
4303  [47,54,46],
4304  [55,54,47],
4305  [56,55,48],
4306  [49,56,48],
4307  [51,57,50],
4308  [58,57,51],
4309  [52,58,51],
4310  [53,58,52],
4311  [55,59,54],
4312  [56,59,55],
4313  [57,59,56],
4314  [58,59,57],
4315  [1,6,14,5,0],
4316  [3,10,20,9,2],
4317  [12,24,23,11,4],
4318  [8,18,30,17,7],
4319  [26,38,37,25,13],
4320  [16,28,40,27,15],
4321  [32,44,43,31,19],
4322  [22,34,46,33,21],
4323  [42,52,51,41,29],
4324  [36,48,55,47,35],
4325  [50,57,56,49,39],
4326  [54,59,58,53,45]
4327  ],
4328  [
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4330  [0,2],
4331  [0,3],
4332  [0,4],
4333  [0,5],
4334  [1,2],
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4340  [2,9],
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4350  [6,7],
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4360  [9,19],
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4364  [10,21],
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4380  [16,28],
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4399  [23,35],
4400  [24,25],
4401  [24,35],
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4409  [27,40],
4410  [28,29],
4411  [28,40],
4412  [28,41],
4413  [29,30],
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4419  [31,43],
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4422  [33,44],
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4425  [34,35],
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4427  [34,47],
4428  [35,36],
4429  [35,47],
4430  [36,37],
4431  [36,48],
4432  [37,38],
4433  [37,48],
4434  [37,49],
4435  [38,39],
4436  [38,49],
4437  [39,40],
4438  [39,49],
4439  [39,50],
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4441  [40,50],
4442  [41,50],
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4444  [42,43],
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4448  [43,53],
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4460  [48,56],
4461  [49,56],
4462  [50,51],
4463  [50,57],
4464  [51,52],
4465  [51,57],
4466  [51,58],
4467  [52,53],
4468  [52,58],
4469  [53,58],
4470  [54,55],
4471  [54,59],
4472  [55,56],
4473  [55,59],
4474  [56,57],
4475  [56,59],
4476  [57,58],
4477  [57,59],
4478  [58,59]
4479  ]
4480  ],
4481  [
4482  "archimedean_truncated_cube",
4483  "Truncated Cube",
4484  empty_str,
4485  "archimedean",
4486  "George W. Hart, 1997. george@li.net",
4487  [
4488  [-0.29289338102, 0.70710695251, -0.70710688668],
4489  [-0.70710681195, 0.70710683515, -0.29289306754],
4490  [ 0.29289311951, 0.70710673807, -0.70710686619],
4491  [-0.70710691814, 0.29289326544, -0.70710663182],
4492  [-0.70710668246, 0.70710682884, 0.29289334392],
4493  [ 0.70710662250, 0.29289318824, -0.70710690325],
4494  [ 0.70710681060, 0.70710673807, -0.29289339277],
4495  [-0.70710695592, -0.29289320029, -0.70710666505],
4496  [-0.70710699991, 0.29289339044, 0.70710719193],
4497  [-0.29289298576, 0.70710681527, 0.70710683091],
4498  [ 0.70710699991, -0.29289339044, -0.70710719193],
4499  [ 0.70710686379, 0.70710673807, 0.29289308607],
4500  [-0.29289344731, -0.70710676370, -0.70710668854],
4501  [-0.70710686379, -0.70710673807, -0.29289308607],
4502  [-0.70710662250, -0.29289318824, 0.70710690325],
4503  [ 0.29289344731, 0.70710676370, 0.70710668854],
4504  [ 0.29289298576, -0.70710681527, -0.70710683091],
4505  [ 0.70710668246, -0.70710682884, -0.29289334392],
4506  [ 0.70710695592, 0.29289320029, 0.70710666505],
4507  [-0.70710681060, -0.70710673807, 0.29289339277],
4508  [-0.29289311951, -0.70710673807, 0.70710686619],
4509  [ 0.70710681195, -0.70710683515, 0.29289306754],
4510  [ 0.70710691814, -0.29289326544, 0.70710663182],
4511  [ 0.29289338102, -0.70710695251, 0.70710688668]
4512  ],
4513  [
4514  [1.04201100000, 112.50000631013, 132.73420563930],
4515  [1.04201078153, 134.99999906030, 106.32494102826],
4516  [1.04201076707, 67.50000563266, 132.73421593804],
4517  [1.04201077124, 157.50000069847, 132.73419818146],
4518  [1.04201076707, 134.99999406959, 73.67504290303],
4519  [1.04201073312, 22.50000243184, 132.73422043779],
4520  [1.04201080616, 44.99999706168, 106.32495926631],
4521  [1.04201080111, -157.50000628645, 132.73419915118],
4522  [1.04201124196, 157.49999439576, 47.26578380087],
4523  [1.04201075792, 112.49998290493, 47.26578623800],
4524  [1.04201124196, -22.50000560423, 132.73421619912],
4525  [1.04201075605, 44.99999490651, 73.67505749969],
4526  [1.04201075605, -112.50001630446, 132.73420319926],
4527  [1.04201075605, -135.00000509348, 106.32494250030],
4528  [1.04201073312, -157.49999756815, 47.26577956219],
4529  [1.04201075605, 67.49998369553, 47.26579680073],
4530  [1.04201075792, -67.50001709506, 132.73421376199],
4531  [1.04201076707, -45.00000593040, 106.32495709695],
4532  [1.04201080111, 22.49999371354, 47.26580084881],
4533  [1.04201080616, -135.00000293831, 73.67504073368],
4534  [1.04201076707, -112.49999436733, 47.26578406195],
4535  [1.04201078153, -45.00000093969, 73.67505897173],
4536  [1.04201077124, -22.49999930152, 47.26580181853],
4537  [1.04201100000, -67.49999368986, 47.26579436069]
4538  ],
4539  [
4540  [2,6,11,15,9,4,1,0],
4541  [3,7,12,16,10,5,2,0],
4542  [4,8,14,19,13,7,3,1],
4543  [10,17,21,22,18,11,6,5],
4544  [9,15,18,22,23,20,14,8],
4545  [13,19,20,23,21,17,16,12],
4546  [1,3,0],
4547  [5,6,2],
4548  [9,8,4],
4549  [13,12,7],
4550  [16,17,10],
4551  [18,15,11],
4552  [20,19,14],
4553  [23,22,21]
4554  ],
4555  [
4556  [0,1],
4557  [0,2],
4558  [0,3],
4559  [1,3],
4560  [1,4],
4561  [2,5],
4562  [2,6],
4563  [3,7],
4564  [4,8],
4565  [4,9],
4566  [5,6],
4567  [5,10],
4568  [6,11],
4569  [7,12],
4570  [7,13],
4571  [8,9],
4572  [8,14],
4573  [9,15],
4574  [10,16],
4575  [10,17],
4576  [11,15],
4577  [11,18],
4578  [12,13],
4579  [12,16],
4580  [13,19],
4581  [14,19],
4582  [14,20],
4583  [15,18],
4584  [16,17],
4585  [17,21],
4586  [18,22],
4587  [19,20],
4588  [20,23],
4589  [21,22],
4590  [21,23],
4591  [22,23]
4592  ]
4593  ],
4594  [
4595  "archimedean_truncated_cuboctahedron",
4596  "Truncated Cuboctahedron",
4597  "Great Rhombicuboctahedron",
4598  "archimedean",
4599  "George W. Hart, 1997. george@li.net",
4600  [
4601  [ 0.00000000000, 0.00000000000, 1.02411700000],
4602  [ 0.43147880000, 0.00000000000, 0.92878500000],
4603  [-0.02106287000, 0.43096440000, 0.92878500000],
4604  [-0.34105820000, -0.26429770000, 0.92878500000],
4605  [ 0.41041590000, 0.43096440000, 0.83345300000],
4606  [ 0.70062380000, -0.26429770000, 0.69863330000],
4607  [-0.38318390000, 0.59763110000, 0.73812110000],
4608  [-0.39190840000, -0.63807120000, 0.69863330000],
4609  [-0.70317920000, -0.09763107000, 0.73812110000],
4610  [ 0.65849810000, 0.59763110000, 0.50796940000],
4611  [ 0.64977360000, -0.63807120000, 0.46848160000],
4612  [ 0.94870600000, -0.09763107000, 0.37314960000],
4613  [-0.46382160000, 0.83333330000, 0.37314960000],
4614  [-0.72424210000, 0.33333330000, 0.64278910000],
4615  [-0.75402950000, -0.47140450000, 0.50796940000],
4616  [-0.12276340000, -0.90236890000, 0.46848160000],
4617  [ 0.57786040000, 0.83333330000, 0.14299790000],
4618  [ 0.92764310000, 0.33333330000, 0.27781770000],
4619  [ 0.89785570000, -0.47140450000, 0.14299790000],
4620  [ 0.30871540000, -0.90236890000, 0.37314960000],
4621  [-0.80487970000, 0.56903560000, 0.27781770000],
4622  [-0.21573940000, 1.00000000000, 0.04766598000],
4623  [-0.84700550000, -0.56903560000, 0.08715377000],
4624  [-0.21573940000, -1.00000000000, 0.04766598000],
4625  [ 0.84700550000, 0.56903560000, -0.08715377000],
4626  [ 0.21573940000, 1.00000000000, -0.04766598000],
4627  [ 0.80487970000, -0.56903560000, -0.27781770000],
4628  [ 0.21573940000, -1.00000000000, -0.04766598000],
4629  [-0.89785570000, 0.47140450000, -0.14299790000],
4630  [-0.30871540000, 0.90236890000, -0.37314960000],
4631  [-0.92764310000, -0.33333330000, -0.27781770000],
4632  [-0.57786040000, -0.83333330000, -0.14299790000],
4633  [ 0.75402950000, 0.47140450000, -0.50796940000],
4634  [ 0.12276340000, 0.90236890000, -0.46848160000],
4635  [ 0.72424210000, -0.33333330000, -0.64278910000],
4636  [ 0.46382160000, -0.83333330000, -0.37314960000],
4637  [-0.94870600000, 0.09763107000, -0.37314960000],
4638  [-0.64977360000, 0.63807120000, -0.46848160000],
4639  [-0.65849810000, -0.59763110000, -0.50796940000],
4640  [ 0.70317920000, 0.09763107000, -0.73812110000],
4641  [ 0.39190840000, 0.63807120000, -0.69863330000],
4642  [ 0.38318390000, -0.59763110000, -0.73812110000],
4643  [-0.70062380000, 0.26429770000, -0.69863330000],
4644  [-0.41041590000, -0.43096440000, -0.83345300000],
4645  [ 0.34105820000, 0.26429770000, -0.92878500000],
4646  [ 0.02106287000, -0.43096440000, -0.92878500000],
4647  [-0.43147880000, 0.00000000000, -0.92878500000],
4648  [ 0.00000000000, 0.00000000000, -1.02411700000]
4649  ],
4650  [
4651  [1.02411700000, 0.00000000000, 0.00000000000],
4652  [1.02411695185, 0.00000000000, 24.91781980135],
4653  [1.02411695367, 92.79803632418, 24.91782001952],
4654  [1.02411695926, -142.22666729323, 24.91782069288],
4655  [1.02411690165, 46.39902055343, 35.52855201714],
4656  [1.02411692263, -20.66807926136, 46.98567512502],
4657  [1.02411698119, 122.66682676089, 43.88446848189],
4658  [1.02411695530, -121.55857659816, 46.98567683011],
4659  [1.02411697155, -172.09545194119, 43.88446792059],
4660  [1.02411698098, 42.22584541488, 60.26381155895],
4661  [1.02411698407, -44.47937851151, 62.77736226499],
4662  [1.02411694852, -5.87560924705, 68.63165757972],
4663  [1.02411693155, 119.09969739844, 68.63165720834],
4664  [1.02411695396, 155.28569153362, 51.12289370201],
4665  [1.02411698591, -147.98718270752, 60.26381171653],
4666  [1.02411693356, -97.74728085731, 62.77736081123],
4667  [1.02411690260, 55.26130310742, 81.97353767093],
4668  [1.02411692902, 19.76506601976, 74.25982703997],
4669  [1.02411691718, -27.70098643930, 81.97353778597],
4670  [1.02411691416, -71.11332999914, 68.63165682755],
4671  [1.02411694643, 144.74037024618, 74.25982731460],
4672  [1.02411695346, 102.17436673531, 87.33229053465],
4673  [1.02411699074, -146.10598764812, 85.11814531553],
4674  [1.02411695346, -102.17436673531, 87.33229053465],
4675  [1.02411699074, 33.89401235187, 94.88185468446],
4676  [1.02411695346, 77.82563326468, 92.66770946534],
4677  [1.02411694643, -35.25962975381, 105.74017268539],
4678  [1.02411695346, -77.82563326468, 92.66770946534],
4679  [1.02411691718, 152.29901356069, 98.02646221402],
4680  [1.02411691416, 108.88667000084, 111.36834317244],
4681  [1.02411692902, -160.23493398023, 105.74017296002],
4682  [1.02411690260, -124.73869689257, 98.02646232906],
4683  [1.02411698591, 32.01281729247, 119.73618828346],
4684  [1.02411693356, 82.25271914268, 117.22263918875],
4685  [1.02411695396, -24.71430846637, 128.87710629797],
4686  [1.02411693155, -60.90030260155, 111.36834279165],
4687  [1.02411694852, 174.12439075294, 111.36834242027],
4688  [1.02411698407, 135.52062148848, 117.22263773500],
4689  [1.02411698098, -137.77415458511, 119.73618844104],
4690  [1.02411697155, 7.90454805880, 136.11553207940],
4691  [1.02411695530, 58.44142340183, 133.01432316988],
4692  [1.02411698119, -57.33317323909, 136.11553151810],
4693  [1.02411692263, 159.33192073863, 133.01432487497],
4694  [1.02411690165, -133.60097944655, 144.47144798284],
4695  [1.02411695926, 37.77333270676, 155.08217930711],
4696  [1.02411695367, -87.20196367581, 155.08217998047],
4697  [1.02411695185, 179.99999999999, 155.08218019864],
4698  [1.02411700000, 0.00000000000, 179.99999999999]
4699  ],
4700  [
4701  [2,4,1,0],
4702  [7,14,8,3],
4703  [11,18,10,5],
4704  [13,20,12,6],
4705  [16,24,17,9],
4706  [19,27,23,15],
4707  [29,33,25,21],
4708  [31,38,30,22],
4709  [34,41,35,26],
4710  [36,42,37,28],
4711  [40,44,39,32],
4712  [45,47,46,43],
4713  [3,8,13,6,2,0],
4714  [4,9,17,11,5,1],
4715  [15,23,31,22,14,7],
4716  [18,26,35,27,19,10],
4717  [20,28,37,29,21,12],
4718  [25,33,40,32,24,16],
4719  [38,43,46,42,36,30],
4720  [39,44,47,45,41,34],
4721  [1,5,10,19,15,7,3,0],
4722  [6,12,21,25,16,9,4,2],
4723  [14,22,30,36,28,20,13,8],
4724  [17,24,32,39,34,26,18,11],
4725  [27,35,41,45,43,38,31,23],
4726  [37,42,46,47,44,40,33,29]
4727  ],
4728  [
4729  [0,1],
4730  [0,2],
4731  [0,3],
4732  [1,4],
4733  [1,5],
4734  [2,4],
4735  [2,6],
4736  [3,7],
4737  [3,8],
4738  [4,9],
4739  [5,10],
4740  [5,11],
4741  [6,12],
4742  [6,13],
4743  [7,14],
4744  [7,15],
4745  [8,13],
4746  [8,14],
4747  [9,16],
4748  [9,17],
4749  [10,18],
4750  [10,19],
4751  [11,17],
4752  [11,18],
4753  [12,20],
4754  [12,21],
4755  [13,20],
4756  [14,22],
4757  [15,19],
4758  [15,23],
4759  [16,24],
4760  [16,25],
4761  [17,24],
4762  [18,26],
4763  [19,27],
4764  [20,28],
4765  [21,25],
4766  [21,29],
4767  [22,30],
4768  [22,31],
4769  [23,27],
4770  [23,31],
4771  [24,32],
4772  [25,33],
4773  [26,34],
4774  [26,35],
4775  [27,35],
4776  [28,36],
4777  [28,37],
4778  [29,33],
4779  [29,37],
4780  [30,36],
4781  [30,38],
4782  [31,38],
4783  [32,39],
4784  [32,40],
4785  [33,40],
4786  [34,39],
4787  [34,41],
4788  [35,41],
4789  [36,42],
4790  [37,42],
4791  [38,43],
4792  [39,44],
4793  [40,44],
4794  [41,45],
4795  [42,46],
4796  [43,45],
4797  [43,46],
4798  [44,47],
4799  [45,47],
4800  [46,47]
4801  ]
4802  ],
4803  [
4804  "archimedean_truncated_dodecahedron",
4805  "Truncated Dodecahedron",
4806  empty_str,
4807  "archimedean",
4808  "George W. Hart, 1997. george@li.net",
4809  [
4810  [ 0.00000000000, 0.00000000000, 1.01448500000],
4811  [ 0.33676280000, 0.00000000000, 0.95695890000],
4812  [-0.29022330000, 0.17082040000, 0.95695890000],
4813  [ 0.16346810000, -0.29442720000, 0.95695890000],
4814  [ 0.59143320000, 0.17082040000, 0.80635400000],
4815  [-0.59634650000, 0.15278640000, 0.80635400000],
4816  [-0.42305170000, 0.44721360000, 0.80635400000],
4817  [ 0.13774170000, -0.60000000000, 0.80635400000],
4818  [ 0.83020370000, 0.15278640000, 0.56267020000],
4819  [ 0.66673560000, 0.44721360000, 0.62019610000],
4820  [-0.80144070000, -0.04721360000, 0.62019610000],
4821  [-0.34774930000, 0.72360680000, 0.62019610000],
4822  [-0.06735256000, -0.80000000000, 0.62019610000],
4823  [ 0.26941020000, -0.80000000000, 0.56267020000],
4824  [ 0.96187220000, -0.04721360000, 0.31898630000],
4825  [ 0.53390720000, 0.72360680000, 0.46959120000],
4826  [-0.82716710000, -0.35278640000, 0.46959120000],
4827  [-0.95999550000, -0.07639320000, 0.31898630000],
4828  [-0.39920210000, 0.87639320000, 0.31898630000],
4829  [-0.09307895000, 0.89442720000, 0.46959120000],
4830  [-0.37347570000, -0.81803400000, 0.46959120000],
4831  [ 0.50818080000, -0.81803400000, 0.31898630000],
4832  [ 0.93614590000, -0.35278640000, 0.16838140000],
4833  [ 1.01144800000, -0.07639320000, -0.01777650000],
4834  [ 0.48245440000, 0.87639320000, 0.16838140000],
4835  [ 0.24368390000, 0.89442720000, 0.41206530000],
4836  [-0.66369900000, -0.64721360000, 0.41206530000],
4837  [-1.01144800000, 0.07639320000, 0.01777650000],
4838  [-0.55775690000, 0.84721360000, 0.01777650000],
4839  [-0.53203050000, -0.84721360000, 0.16838140000],
4840  [ 0.55775690000, -0.84721360000, -0.01777650000],
4841  [ 0.76285110000, -0.64721360000, 0.16838140000],
4842  [ 0.95999550000, 0.07639320000, -0.31898630000],
4843  [ 0.53203050000, 0.84721360000, -0.16838140000],
4844  [-0.96187220000, 0.04721360000, -0.31898630000],
4845  [-0.93614590000, 0.35278640000, -0.16838140000],
4846  [-0.76285110000, 0.64721360000, -0.16838140000],
4847  [-0.50818080000, 0.81803400000, -0.31898630000],
4848  [-0.48245440000, -0.87639320000, -0.16838140000],
4849  [ 0.39920210000, -0.87639320000, -0.31898630000],
4850  [ 0.80144070000, 0.04721360000, -0.62019610000],
4851  [ 0.82716710000, 0.35278640000, -0.46959120000],
4852  [ 0.66369900000, 0.64721360000, -0.41206530000],
4853  [ 0.37347570000, 0.81803400000, -0.46959120000],
4854  [-0.83020370000, -0.15278640000, -0.56267020000],
4855  [-0.26941020000, 0.80000000000, -0.56267020000],
4856  [-0.53390720000, -0.72360680000, -0.46959120000],
4857  [-0.24368390000, -0.89442720000, -0.41206530000],
4858  [ 0.09307895000, -0.89442720000, -0.46959120000],
4859  [ 0.34774930000, -0.72360680000, -0.62019610000],
4860  [ 0.59634650000, -0.15278640000, -0.80635400000],
4861  [ 0.06735256000, 0.80000000000, -0.62019610000],
4862  [-0.66673560000, -0.44721360000, -0.62019610000],
4863  [-0.59143320000, -0.17082040000, -0.80635400000],
4864  [-0.13774170000, 0.60000000000, -0.80635400000],
4865  [ 0.42305170000, -0.44721360000, -0.80635400000],
4866  [ 0.29022330000, -0.17082040000, -0.95695890000],
4867  [-0.33676280000, 0.00000000000, -0.95695890000],
4868  [-0.16346810000, 0.29442720000, -0.95695890000],
4869  [ 0.00000000000, 0.00000000000, -1.01448500000]
4870  ],
4871  [
4872  [1.01448500000, 0.00000000000, 0.00000000000],
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4874  [1.01448484918, 149.51967135526, 19.38744710383],
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5058  ]
5059  ],
5060  [
5061  "archimedean_truncated_icosahedron",
5062  "Truncated Icosahedron",
5063  "Soccer Ball",
5064  "archimedean",
5065  "George W. Hart, 1997. george@li.net",
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5313  [57,59],
5314  [58,59]
5315  ]
5316  ],
5317  [
5318  "archimedean_truncated_icosidodecahedron",
5319  "Truncated Icosidodecahedron",
5320  "Great Rhombicosidodecahedron",
5321  "archimedean",
5322  "George W. Hart, 1997. george@li.net",
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5639  [3,7],
5640  [3,8],
5641  [4,9],
5642  [5,10],
5643  [5,11],
5644  [6,12],
5645  [6,13],
5646  [7,14],
5647  [7,15],
5648  [8,13],
5649  [8,14],
5650  [9,16],
5651  [9,17],
5652  [10,18],
5653  [10,19],
5654  [11,17],
5655  [11,18],
5656  [12,20],
5657  [12,21],
5658  [13,20],
5659  [14,22],
5660  [15,23],
5661  [15,24],
5662  [16,25],
5663  [16,26],
5664  [17,25],
5665  [18,27],
5666  [19,28],
5667  [19,29],
5668  [20,30],
5669  [21,31],
5670  [21,32],
5671  [22,33],
5672  [22,34],
5673  [23,28],
5674  [23,35],
5675  [24,34],
5676  [24,35],
5677  [25,36],
5678  [26,37],
5679  [26,38],
5680  [27,39],
5681  [27,40],
5682  [28,41],
5683  [29,40],
5684  [29,41],
5685  [30,42],
5686  [30,43],
5687  [31,37],
5688  [31,44],
5689  [32,43],
5690  [32,44],
5691  [33,45],
5692  [33,46],
5693  [34,45],
5694  [35,47],
5695  [36,48],
5696  [36,49],
5697  [37,50],
5698  [38,49],
5699  [38,50],
5700  [39,51],
5701  [39,52],
5702  [40,51],
5703  [41,53],
5704  [42,54],
5705  [42,55],
5706  [43,54],
5707  [44,56],
5708  [45,57],
5709  [46,55],
5710  [46,58],
5711  [47,53],
5712  [47,59],
5713  [48,60],
5714  [48,61],
5715  [49,60],
5716  [50,62],
5717  [51,63],
5718  [52,61],
5719  [52,64],
5720  [53,65],
5721  [54,66],
5722  [55,67],
5723  [56,62],
5724  [56,68],
5725  [57,69],
5726  [57,70],
5727  [58,67],
5728  [58,70],
5729  [59,65],
5730  [59,71],
5731  [60,72],
5732  [61,73],
5733  [62,74],
5734  [63,75],
5735  [63,76],
5736  [64,73],
5737  [64,76],
5738  [65,77],
5739  [66,78],
5740  [66,79],
5741  [67,79],
5742  [68,74],
5743  [68,80],
5744  [69,81],
5745  [69,82],
5746  [70,81],
5747  [71,82],
5748  [71,83],
5749  [72,84],
5750  [72,85],
5751  [73,85],
5752  [74,86],
5753  [75,87],
5754  [75,88],
5755  [76,87],
5756  [77,88],
5757  [77,89],
5758  [78,90],
5759  [78,91],
5760  [79,90],
5761  [80,91],
5762  [80,92],
5763  [81,93],
5764  [82,94],
5765  [83,89],
5766  [83,94],
5767  [84,95],
5768  [84,96],
5769  [85,95],
5770  [86,96],
5771  [86,97],
5772  [87,98],
5773  [88,99],
5774  [89,99],
5775  [90,100],
5776  [91,101],
5777  [92,97],
5778  [92,101],
5779  [93,102],
5780  [93,103],
5781  [94,103],
5782  [95,104],
5783  [96,105],
5784  [97,105],
5785  [98,106],
5786  [98,107],
5787  [99,107],
5788  [100,108],
5789  [100,109],
5790  [101,109],
5791  [102,108],
5792  [102,110],
5793  [103,110],
5794  [104,111],
5795  [104,112],
5796  [105,112],
5797  [106,111],
5798  [106,113],
5799  [107,113],
5800  [108,114],
5801  [109,114],
5802  [110,115],
5803  [111,116],
5804  [112,116],
5805  [113,117],
5806  [114,118],
5807  [115,117],
5808  [115,118],
5809  [116,119],
5810  [117,119],
5811  [118,119]
5812  ]
5813  ],
5814  [
5815  "archimedean_truncated_octahedron",
5816  "Truncated Octahedron",
5817  empty_str,
5818  "archimedean",
5819  "Exact Mathematics",
5820  [
5821  [ 0.00000000000, 1.00000000000, 2.00000000000],
5822  [ 0.00000000000, 2.00000000000, 1.00000000000],
5823  [ 1.00000000000, 0.00000000000, 2.00000000000],
5824  [ 1.00000000000, 2.00000000000, 0.00000000000],
5825  [ 2.00000000000, 0.00000000000, 1.00000000000],
5826  [ 2.00000000000, 1.00000000000, 0.00000000000],
5827  [ 0.00000000000, -1.00000000000, 2.00000000000],
5828  [ 0.00000000000, 2.00000000000, -1.00000000000],
5829  [-1.00000000000, 0.00000000000, 2.00000000000],
5830  [-1.00000000000, 2.00000000000, 0.00000000000],
5831  [ 2.00000000000, 0.00000000000, -1.00000000000],
5832  [ 2.00000000000, -1.00000000000, 0.00000000000],
5833  [ 0.00000000000, 1.00000000000, -2.00000000000],
5834  [ 0.00000000000, -2.00000000000, 1.00000000000],
5835  [ 1.00000000000, 0.00000000000, -2.00000000000],
5836  [ 1.00000000000, -2.00000000000, 0.00000000000],
5837  [-2.00000000000, 0.00000000000, 1.00000000000],
5838  [-2.00000000000, 1.00000000000, 0.00000000000],
5839  [ 0.00000000000, -1.00000000000, -2.00000000000],
5840  [ 0.00000000000, -2.00000000000, -1.00000000000],
5841  [-1.00000000000, 0.00000000000, -2.00000000000],
5842  [-1.00000000000, -2.00000000000, 0.00000000000],
5843  [-2.00000000000, 0.00000000000, -1.00000000000],
5844  [-2.00000000000, -1.00000000000, 0.00000000000]
5845  ],
5846  [
5847  [2.23606797750, 89.99999999999, 26.56505117708],
5848  [2.23606797750, 89.99999999999, 63.43494882292],
5849  [2.23606797750, 0.00000000000, 26.56505117708],
5850  [2.23606797750, 63.43494882292, 89.99999999999],
5851  [2.23606797750, 0.00000000000, 63.43494882292],
5852  [2.23606797750, 26.56505117708, 89.99999999999],
5853  [2.23606797750, -89.99999999999, 26.56505117708],
5854  [2.23606797750, 89.99999999999, 116.56505117707],
5855  [2.23606797750, 179.99999999999, 26.56505117708],
5856  [2.23606797750, 116.56505117707, 89.99999999999],
5857  [2.23606797750, 0.00000000000, 116.56505117707],
5858  [2.23606797750, -26.56505117708, 89.99999999999],
5859  [2.23606797750, 89.99999999999, 153.43494882291],
5860  [2.23606797750, -89.99999999999, 63.43494882292],
5861  [2.23606797750, 0.00000000000, 153.43494882291],
5862  [2.23606797750, -63.43494882292, 89.99999999999],
5863  [2.23606797750, 179.99999999999, 63.43494882292],
5864  [2.23606797750, 153.43494882291, 89.99999999999],
5865  [2.23606797750, -89.99999999999, 153.43494882291],
5866  [2.23606797750, -89.99999999999, 116.56505117707],
5867  [2.23606797750, 179.99999999999, 153.43494882291],
5868  [2.23606797750, -116.56505117707, 89.99999999999],
5869  [2.23606797750, 179.99999999999, 116.56505117707],
5870  [2.23606797750, -153.43494882291, 89.99999999999]
5871  ],
5872  [
5873  [7,3,1,9],
5874  [12,7,9,17,22,20],
5875  [1,0,8,16,17,9],
5876  [11,4,5,10],
5877  [16,23,22,17],
5878  [14,10,5,3,7,12],
5879  [4,2,0,1,3,5],
5880  [21,13,15,19],
5881  [19,18,20,22,23,21],
5882  [14,18,19,15,11,10],
5883  [18,14,12,20],
5884  [23,16,8,6,13,21],
5885  [15,13,6,2,4,11],
5886  [2,6,8,0]
5887  ],
5888  [
5889  [0,1],
5890  [0,2],
5891  [0,8],
5892  [1,3],
5893  [1,9],
5894  [2,4],
5895  [2,6],
5896  [3,5],
5897  [3,7],
5898  [4,5],
5899  [4,11],
5900  [5,10],
5901  [6,8],
5902  [6,13],
5903  [7,9],
5904  [7,12],
5905  [8,16],
5906  [9,17],
5907  [10,11],
5908  [10,14],
5909  [11,15],
5910  [12,14],
5911  [12,20],
5912  [13,15],
5913  [13,21],
5914  [14,18],
5915  [15,19],
5916  [16,17],
5917  [16,23],
5918  [17,22],
5919  [18,19],
5920  [18,20],
5921  [19,21],
5922  [20,22],
5923  [21,23],
5924  [22,23]
5925  ]
5926  ],
5927  [
5928  "archimedean_truncated_tetrahedron",
5929  "Truncated Tetrahedron",
5930  empty_str,
5931  "archimedean",
5932  "Exact Mathematics",
5933  [
5934  [ 1.00000000000, 1.00000000000, -3.00000000000],
5935  [ 3.00000000000, 1.00000000000, -1.00000000000],
5936  [ 1.00000000000, 3.00000000000, -1.00000000000],
5937  [-1.00000000000, 1.00000000000, 3.00000000000],
5938  [-3.00000000000, 1.00000000000, 1.00000000000],
5939  [-1.00000000000, 3.00000000000, 1.00000000000],
5940  [ 1.00000000000, -1.00000000000, 3.00000000000],
5941  [ 3.00000000000, -1.00000000000, 1.00000000000],
5942  [ 1.00000000000, -3.00000000000, 1.00000000000],
5943  [-1.00000000000, -1.00000000000, -3.00000000000],
5944  [-3.00000000000, -1.00000000000, -1.00000000000],
5945  [-1.00000000000, -3.00000000000, -1.00000000000]
5946  ],
5947  [
5948  [3.31662479036, 45.00000000000, 154.76059817931],
5949  [3.31662479036, 18.43494882292, 107.54840061379],
5950  [3.31662479036, 71.56505117707, 107.54840061379],
5951  [3.31662479036, 134.99999999999, 25.23940182068],
5952  [3.31662479036, 161.56505117707, 72.45159938620],
5953  [3.31662479036, 108.43494882291, 72.45159938620],
5954  [3.31662479036, -45.00000000000, 25.23940182068],
5955  [3.31662479036, -18.43494882292, 72.45159938620],
5956  [3.31662479036, -71.56505117707, 72.45159938620],
5957  [3.31662479036, -134.99999999999, 154.76059817931],
5958  [3.31662479036, -161.56505117707, 107.54840061379],
5959  [3.31662479036, -108.43494882291, 107.54840061379]
5960  ],
5961  [
5962  [0,1,2],
5963  [3,4,5],
5964  [6,7,8],
5965  [9,10,11],
5966  [0,2,5,4,10,9],
5967  [5,2,1,7,6,3],
5968  [4,3,6,8,11,10],
5969  [1,0,9,11,8,7]
5970  ],
5971  [
5972  [0,1],
5973  [0,2],
5974  [0,9],
5975  [1,2],
5976  [1,7],
5977  [2,5],
5978  [3,4],
5979  [3,5],
5980  [3,6],
5981  [4,5],
5982  [4,10],
5983  [6,7],
5984  [6,8],
5985  [7,8],
5986  [8,11],
5987  [9,10],
5988  [9,11],
5989  [10,11]
5990  ]
5991  ],
5992  [
5993  "cupolas_pentagonal_cupola",
5994  "Pentagonal Cupola",
5995  "J5",
5996  "cupolas",
5997  "Polyhedron Database #49",
5998  [
5999  [ 0.30722035250, -0.10767686506, -0.94552702116],
6000  [-0.30722035250, -0.10767686506, -0.94552702116],
6001  [ 0.80431332487, -0.10767686506, -0.58436783636],
6002  [ 0.30722035250, 0.21535373011, -0.42285253878],
6003  [-0.30722035250, 0.21535373011, -0.42285253878],
6004  [-0.80431332487, -0.10767686506, -0.58436783636],
6005  [ 0.99418594475, -0.10767686506, 0.00000000000],
6006  [ 0.49709297237, 0.21535373011, 0.16151529758],
6007  [-0.49709297237, 0.21535373011, 0.16151529758],
6008  [-0.99418594475, -0.10767686506, -0.00000000000],
6009  [ 0.00000000000, 0.21535373011, 0.52267448238],
6010  [ 0.80431332487, -0.10767686506, 0.58436783636],
6011  [-0.80431332487, -0.10767686506, 0.58436783636],
6012  [ 0.30722035250, -0.10767686506, 0.94552702116],
6013  [-0.30722035250, -0.10767686506, 0.94552702116]
6014  ],
6015  [
6016  [1.00000000000, -19.31492121303, 161.00148636537],
6017  [1.00000000000, -160.68507878696, 161.00148636537],
6018  [1.00000000000, -7.62509363515, 125.75834309459],
6019  [0.56530155104, 35.02948816948, 138.41849317790],
6020  [0.56530155104, 144.97051183050, 138.41849317790],
6021  [1.00000000000, -172.37490636484, 125.75834309458],
6022  [1.00000000000, -6.18141426338, 89.99999999999],
6023  [0.56530155104, 23.42352770491, 73.39839025197],
6024  [0.56530155104, 156.57647229507, 73.39839025196],
6025  [1.00000000000, -173.81858573662, 89.99999999999],
6026  [0.56530155104, 89.99999999997, 22.39277092895],
6027  [1.00000000000, -7.62509363516, 54.24165690541],
6028  [1.00000000000, -172.37490636484, 54.24165690540],
6029  [1.00000000000, -19.31492121306, 18.99851363462],
6030  [1.00000000000, -160.68507878694, 18.99851363462]
6031  ],
6032  [
6033  [0,1,5,9,12,14,13,11,6,2],
6034  [7,10,8,4,3],
6035  [1,0,3,4],
6036  [5,1,4],
6037  [9,5,4,8],
6038  [12,9,8],
6039  [14,12,8,10],
6040  [13,14,10],
6041  [11,13,10,7],
6042  [6,11,7],
6043  [2,6,7,3],
6044  [0,2,3]
6045  ],
6046  [
6047  [0,1],
6048  [0,2],
6049  [0,3],
6050  [1,4],
6051  [1,5],
6052  [2,3],
6053  [2,6],
6054  [3,4],
6055  [3,7],
6056  [4,5],
6057  [4,8],
6058  [5,9],
6059  [6,7],
6060  [6,11],
6061  [7,10],
6062  [7,11],
6063  [8,9],
6064  [8,10],
6065  [8,12],
6066  [9,12],
6067  [10,13],
6068  [10,14],
6069  [11,13],
6070  [12,14],
6071  [13,14]
6072  ]
6073  ],
6074  [
6075  "cupolas_pentagonal_gyrobicupola",
6076  "Pentagonal Gyrobicupola",
6077  "J31",
6078  "cupolas",
6079  "Polyhedron Database #75",
6080  [
6081  [ 0.80901699437, 0.00000000000, 0.58778525229],
6082  [ 0.30901699437, 0.00000000000, 0.95105651630],
6083  [ 1.00000000000, 0.00000000000, -0.00000000000],
6084  [-0.30901699437, 0.00000000000, 0.95105651630],
6085  [ 0.30901699438, -0.32491969623, 0.42532540418],
6086  [ 0.50000000000, 0.32491969623, 0.16245984812],
6087  [ 0.00000000000, 0.32491969623, 0.52573111212],
6088  [ 0.50000000000, -0.32491969623, -0.16245984812],
6089  [-0.30901699437, -0.32491969623, 0.42532540418],
6090  [ 0.80901699437, 0.00000000000, -0.58778525229],
6091  [-0.80901699437, 0.00000000000, 0.58778525229],
6092  [ 0.30901699437, 0.32491969623, -0.42532540418],
6093  [-0.50000000000, 0.32491969623, 0.16245984812],
6094  [-0.00000000000, -0.32491969623, -0.52573111212],
6095  [-0.50000000000, -0.32491969623, -0.16245984812],
6096  [-0.30901699438, 0.32491969623, -0.42532540418],
6097  [ 0.30901699437, -0.00000000000, -0.95105651630],
6098  [-1.00000000000, 0.00000000000, 0.00000000000],
6099  [-0.30901699437, -0.00000000000, -0.95105651630],
6100  [-0.80901699437, -0.00000000000, -0.58778525229]
6101  ],
6102  [
6103  [1.00000000000, 0.00000000001, 54.00000000000],
6104  [1.00000000000, 0.00000000002, 18.00000000000],
6105  [1.00000000000, 0.00000000000, 89.99999999999],
6106  [1.00000000000, 179.99999999997, 18.00000000000],
6107  [0.61803398875, -46.43699940041, 46.51292225447],
6108  [0.61803398875, 33.01739809414, 74.75983771732],
6109  [0.61803398875, 89.99999999999, 31.71747441146],
6110  [0.61803398875, -33.01739809415, 105.24016228267],
6111  [0.61803398875, -133.56300059956, 46.51292225447],
6112  [1.00000000000, 0.00000000000, 125.99999999999],
6113  [1.00000000000, 179.99999999999, 54.00000000000],
6114  [0.61803398875, 46.43699940043, 133.48707774552],
6115  [0.61803398875, 146.98260190584, 74.75983771731],
6116  [0.61803398875, -89.99999999999, 148.28252558853],
6117  [0.61803398875, -146.98260190585, 105.24016228267],
6118  [0.61803398875, 133.56300059958, 133.48707774551],
6119  [1.00000000000, -0.00000000002, 161.99999999999],
6120  [1.00000000000, 179.99999999999, 89.99999999999],
6121  [1.00000000000, -179.99999999997, 161.99999999999],
6122  [1.00000000000, -179.99999999998, 125.99999999999]
6123  ],
6124  [
6125  [13,14,8,4,7],
6126  [0,2,7,4],
6127  [1,0,4],
6128  [3,1,4,8],
6129  [10,3,8],
6130  [17,10,8,14],
6131  [19,17,14],
6132  [18,19,14,13],
6133  [16,18,13],
6134  [9,16,13,7],
6135  [2,9,7],
6136  [12,15,11,5,6],
6137  [0,1,6,5],
6138  [2,0,5],
6139  [9,2,5,11],
6140  [16,9,11],
6141  [18,16,11,15],
6142  [19,18,15],
6143  [17,19,15,12],
6144  [10,17,12],
6145  [3,10,12,6],
6146  [1,3,6]
6147  ],
6148  [
6149  [0,1],
6150  [0,2],
6151  [0,4],
6152  [0,5],
6153  [1,3],
6154  [1,4],
6155  [1,6],
6156  [2,5],
6157  [2,7],
6158  [2,9],
6159  [3,6],
6160  [3,8],
6161  [3,10],
6162  [4,7],
6163  [4,8],
6164  [5,6],
6165  [5,11],
6166  [6,12],
6167  [7,9],
6168  [7,13],
6169  [8,10],
6170  [8,14],
6171  [9,11],
6172  [9,16],
6173  [10,12],
6174  [10,17],
6175  [11,15],
6176  [11,16],
6177  [12,15],
6178  [12,17],
6179  [13,14],
6180  [13,16],
6181  [13,18],
6182  [14,17],
6183  [14,19],
6184  [15,18],
6185  [15,19],
6186  [16,18],
6187  [17,19],
6188  [18,19]
6189  ]
6190  ],
6191  [
6192  "cupolas_pentagonal_orthobicupola",
6193  "Pentagonal Orthobicupola",
6194  "J30",
6195  "cupolas",
6196  "Polyhedron Database #74",
6197  [
6198  [ 0.30901699438, 0.00000000000, 0.95105651630],
6199  [-0.30901699437, 0.00000000000, 0.95105651630],
6200  [ 0.80901699437, 0.00000000000, 0.58778525229],
6201  [ 0.00000000000, 0.32491969623, 0.52573111212],
6202  [-0.00000000000, -0.32491969623, 0.52573111212],
6203  [-0.80901699437, 0.00000000000, 0.58778525229],
6204  [ 0.50000000000, 0.32491969623, 0.16245984812],
6205  [ 0.50000000000, -0.32491969623, 0.16245984812],
6206  [ 1.00000000000, 0.00000000000, -0.00000000000],
6207  [-0.50000000000, 0.32491969623, 0.16245984812],
6208  [-0.50000000000, -0.32491969623, 0.16245984812],
6209  [-1.00000000000, 0.00000000000, 0.00000000000],
6210  [ 0.30901699437, 0.32491969623, -0.42532540418],
6211  [ 0.30901699437, -0.32491969623, -0.42532540418],
6212  [ 0.80901699437, -0.00000000000, -0.58778525229],
6213  [-0.30901699438, 0.32491969623, -0.42532540418],
6214  [-0.30901699438, -0.32491969623, -0.42532540418],
6215  [-0.80901699437, -0.00000000000, -0.58778525229],
6216  [ 0.30901699437, -0.00000000000, -0.95105651630],
6217  [-0.30901699438, 0.00000000000, -0.95105651630]
6218  ],
6219  [
6220  [1.00000000000, 0.00000000000, 18.00000000000],
6221  [1.00000000000, 179.99999999999, 17.99999999999],
6222  [1.00000000000, 0.00000000001, 54.00000000000],
6223  [0.61803398875, 89.99999999998, 31.71747441146],
6224  [0.61803398875, -89.99999999999, 31.71747441146],
6225  [1.00000000000, 179.99999999998, 53.99999999999],
6226  [0.61803398875, 33.01739809414, 74.75983771732],
6227  [0.61803398875, -33.01739809414, 74.75983771731],
6228  [1.00000000000, 0.00000000000, 90.00000000000],
6229  [0.61803398875, 146.98260190585, 74.75983771731],
6230  [0.61803398875, -146.98260190585, 74.75983771731],
6231  [1.00000000000, 179.99999999999, 89.99999999999],
6232  [0.61803398875, 46.43699940043, 133.48707774551],
6233  [0.61803398875, -46.43699940043, 133.48707774551],
6234  [1.00000000000, -0.00000000001, 125.99999999999],
6235  [0.61803398875, 133.56300059957, 133.48707774552],
6236  [0.61803398875, -133.56300059957, 133.48707774551],
6237  [1.00000000000, -179.99999999998, 125.99999999999],
6238  [1.00000000000, -0.00000000002, 162.00000000000],
6239  [1.00000000000, 179.99999999999, 161.99999999999]
6240  ],
6241  [
6242  [13,16,10,4,7],
6243  [0,2,7,4],
6244  [1,0,4],
6245  [5,1,4,10],
6246  [11,5,10],
6247  [17,11,10,16],
6248  [19,17,16],
6249  [18,19,16,13],
6250  [14,18,13],
6251  [8,14,13,7],
6252  [2,8,7],
6253  [9,15,12,6,3],
6254  [2,0,3,6],
6255  [8,2,6],
6256  [14,8,6,12],
6257  [18,14,12],
6258  [19,18,12,15],
6259  [17,19,15],
6260  [11,17,15,9],
6261  [5,11,9],
6262  [1,5,9,3],
6263  [0,1,3]
6264  ],
6265  [
6266  [0,1],
6267  [0,2],
6268  [0,3],
6269  [0,4],
6270  [1,3],
6271  [1,4],
6272  [1,5],
6273  [2,6],
6274  [2,7],
6275  [2,8],
6276  [3,6],
6277  [3,9],
6278  [4,7],
6279  [4,10],
6280  [5,9],
6281  [5,10],
6282  [5,11],
6283  [6,8],
6284  [6,12],
6285  [7,8],
6286  [7,13],
6287  [8,14],
6288  [9,11],
6289  [9,15],
6290  [10,11],
6291  [10,16],
6292  [11,17],
6293  [12,14],
6294  [12,15],
6295  [12,18],
6296  [13,14],
6297  [13,16],
6298  [13,18],
6299  [14,18],
6300  [15,17],
6301  [15,19],
6302  [16,17],
6303  [16,19],
6304  [17,19],
6305  [18,19]
6306  ]
6307  ],
6308  [
6309  "cupolas_square_cupola",
6310  "Square Cupola",
6311  "J4",
6312  "cupolas",
6313  "Polyhedron Database #48",
6314  [
6315  [-0.90920355930, -0.17753303803, -0.37660444522],
6316  [-0.90920355930, -0.17753303803, 0.37660444522],
6317  [-0.37660444522, 0.35506607605, -0.37660444522],
6318  [-0.37660444522, 0.35506607605, 0.37660444522],
6319  [-0.37660444522, -0.17753303803, -0.90920355930],
6320  [-0.37660444522, -0.17753303803, 0.90920355930],
6321  [ 0.37660444522, 0.35506607605, -0.37660444522],
6322  [ 0.37660444522, 0.35506607605, 0.37660444522],
6323  [ 0.37660444522, -0.17753303803, -0.90920355930],
6324  [ 0.37660444522, -0.17753303803, 0.90920355930],
6325  [ 0.90920355930, -0.17753303803, -0.37660444522],
6326  [ 0.90920355930, -0.17753303803, 0.37660444522]
6327  ],
6328  [
6329  [1.00000000000, -168.95132206550, 112.12351211134],
6330  [1.00000000000, -168.95132206551, 67.87648788864],
6331  [0.64010447170, 136.68614334171, 126.03989343030],
6332  [0.64010447170, 136.68614334171, 53.96010656970],
6333  [1.00000000000, -154.76059817930, 155.39552032235],
6334  [1.00000000000, -154.76059817931, 24.60447967764],
6335  [0.64010447170, 43.31385665828, 126.03989343029],
6336  [0.64010447170, 43.31385665828, 53.96010656970],
6337  [1.00000000000, -25.23940182068, 155.39552032235],
6338  [1.00000000000, -25.23940182066, 24.60447967763],
6339  [1.00000000000, -11.04867793448, 112.12351211135],
6340  [1.00000000000, -11.04867793448, 67.87648788864]
6341  ],
6342  [
6343  [0,1,5,9,11,10,8,4],
6344  [6,7,3,2],
6345  [1,0,2,3],
6346  [5,1,3],
6347  [9,5,3,7],
6348  [11,9,7],
6349  [10,11,7,6],
6350  [8,10,6],
6351  [4,8,6,2],
6352  [0,4,2]
6353  ],
6354  [
6355  [0,1],
6356  [0,2],
6357  [0,4],
6358  [1,3],
6359  [1,5],
6360  [2,3],
6361  [2,4],
6362  [2,6],
6363  [3,5],
6364  [3,7],
6365  [4,8],
6366  [5,9],
6367  [6,7],
6368  [6,8],
6369  [6,10],
6370  [7,9],
6371  [7,11],
6372  [8,10],
6373  [9,11],
6374  [10,11]
6375  ]
6376  ],
6377  [
6378  "cupolas_square_gyrobicupola",
6379  "Square Gyrobicupola",
6380  "J29",
6381  "cupolas",
6382  "Polyhedron Database #73",
6383  [
6384  [ 0.38268343237, 0.00000000000, 0.92387953251],
6385  [-0.38268343237, -0.00000000000, 0.92387953251],
6386  [ 0.92387953251, 0.00000000000, 0.38268343237],
6387  [ 0.38268343237, 0.54119610015, 0.38268343237],
6388  [ 0.00000000000, -0.54119610015, 0.54119610015],
6389  [-0.38268343237, 0.54119610015, 0.38268343237],
6390  [-0.92387953251, -0.00000000000, 0.38268343237],
6391  [ 0.54119610015, -0.54119610015, -0.00000000000],
6392  [ 0.92387953251, 0.00000000000, -0.38268343237],
6393  [ 0.38268343237, 0.54119610015, -0.38268343237],
6394  [-0.54119610015, -0.54119610015, 0.00000000000],
6395  [-0.38268343237, 0.54119610015, -0.38268343237],
6396  [ 0.00000000000, -0.54119610015, -0.54119610015],
6397  [-0.92387953251, -0.00000000000, -0.38268343237],
6398  [ 0.38268343237, 0.00000000000, -0.92387953251],
6399  [-0.38268343237, 0.00000000000, -0.92387953251]
6400  ],
6401  [
6402  [1.00000000000, 0.00000000000, 22.50000000000],
6403  [1.00000000000, -179.99999999997, 22.49999999999],
6404  [1.00000000000, 0.00000000001, 67.50000000000],
6405  [0.76536686473, 54.73561031725, 60.00000000000],
6406  [0.76536686473, -89.99999999998, 45.00000000000],
6407  [0.76536686473, 125.26438968275, 60.00000000000],
6408  [1.00000000000, -179.99999999998, 67.49999999999],
6409  [0.76536686473, -44.99999999999, 89.99999999999],
6410  [1.00000000000, 0.00000000001, 112.50000000000],
6411  [0.76536686473, 54.73561031725, 119.99999999999],
6412  [0.76536686473, -134.99999999999, 89.99999999999],
6413  [0.76536686473, 125.26438968275, 119.99999999999],
6414  [0.76536686473, -89.99999999999, 135.00000000000],
6415  [1.00000000000, -179.99999999998, 112.49999999999],
6416  [1.00000000000, 0.00000000001, 157.50000000000],
6417  [1.00000000000, 179.99999999999, 157.49999999999]
6418  ],
6419  [
6420  [12,10,4,7],
6421  [0,2,7,4],
6422  [1,0,4],
6423  [6,1,4,10],
6424  [13,6,10],
6425  [15,13,10,12],
6426  [14,15,12],
6427  [8,14,12,7],
6428  [2,8,7],
6429  [11,9,3,5],
6430  [0,1,5,3],
6431  [2,0,3],
6432  [8,2,3,9],
6433  [14,8,9],
6434  [15,14,9,11],
6435  [13,15,11],
6436  [6,13,11,5],
6437  [1,6,5]
6438  ],
6439  [
6440  [0,1],
6441  [0,2],
6442  [0,3],
6443  [0,4],
6444  [1,4],
6445  [1,5],
6446  [1,6],
6447  [2,3],
6448  [2,7],
6449  [2,8],
6450  [3,5],
6451  [3,9],
6452  [4,7],
6453  [4,10],
6454  [5,6],
6455  [5,11],
6456  [6,10],
6457  [6,13],
6458  [7,8],
6459  [7,12],
6460  [8,9],
6461  [8,14],
6462  [9,11],
6463  [9,14],
6464  [10,12],
6465  [10,13],
6466  [11,13],
6467  [11,15],
6468  [12,14],
6469  [12,15],
6470  [13,15],
6471  [14,15]
6472  ]
6473  ],
6474  [
6475  "cupolas_square_orthobicupola",
6476  "square orthobicupola",
6477  "J28",
6478  "cupolas",
6479  "Polyhedron Database #72",
6480  [
6481  [ 0.38268343237, 0.00000000000, -0.92387953251],
6482  [-0.38268343237, 0.00000000000, -0.92387953251],
6483  [ 0.92387953251, -0.00000000000, -0.38268343237],
6484  [ 0.38268343237, -0.54119610015, -0.38268343237],
6485  [ 0.38268343237, 0.54119610015, -0.38268343237],
6486  [-0.38268343237, -0.54119610015, -0.38268343237],
6487  [-0.38268343237, 0.54119610015, -0.38268343237],
6488  [-0.92387953251, 0.00000000000, -0.38268343237],
6489  [ 0.92387953251, 0.00000000000, 0.38268343237],
6490  [ 0.38268343237, -0.54119610015, 0.38268343237],
6491  [ 0.38268343237, 0.54119610015, 0.38268343237],
6492  [-0.38268343237, -0.54119610015, 0.38268343237],
6493  [-0.38268343237, 0.54119610015, 0.38268343237],
6494  [-0.92387953251, 0.00000000000, 0.38268343237],
6495  [ 0.38268343237, 0.00000000000, 0.92387953251],
6496  [-0.38268343237, 0.00000000000, 0.92387953251]
6497  ],
6498  [
6499  [1.00000000000, 0.00000000000, 157.49999999999],
6500  [1.00000000000, 179.99999999999, 157.49999999999],
6501  [1.00000000000, -0.00000000001, 112.49999999999],
6502  [0.76536686473, -54.73561031725, 119.99999999999],
6503  [0.76536686473, 54.73561031725, 119.99999999999],
6504  [0.76536686473, -125.26438968274, 119.99999999999],
6505  [0.76536686473, 125.26438968274, 119.99999999999],
6506  [1.00000000000, 179.99999999999, 112.49999999999],
6507  [1.00000000000, 0.00000000000, 67.50000000000],
6508  [0.76536686473, -54.73561031725, 60.00000000000],
6509  [0.76536686473, 54.73561031725, 60.00000000000],
6510  [0.76536686473, -125.26438968274, 59.99999999999],
6511  [0.76536686473, 125.26438968274, 59.99999999999],
6512  [1.00000000000, 179.99999999998, 67.50000000000],
6513  [1.00000000000, 0.00000000000, 22.50000000000],
6514  [1.00000000000, 179.99999999999, 22.50000000000]
6515  ],
6516  [
6517  [11,9,3,5],
6518  [0,1,5,3],
6519  [2,0,3],
6520  [8,2,3,9],
6521  [14,8,9],
6522  [15,14,9,11],
6523  [13,15,11],
6524  [7,13,11,5],
6525  [1,7,5],
6526  [10,12,6,4],
6527  [1,0,4,6],
6528  [7,1,6],
6529  [13,7,6,12],
6530  [15,13,12],
6531  [14,15,12,10],
6532  [8,14,10],
6533  [2,8,10,4],
6534  [0,2,4]
6535  ],
6536  [
6537  [0,1],
6538  [0,2],
6539  [0,3],
6540  [0,4],
6541  [1,5],
6542  [1,6],
6543  [1,7],
6544  [2,3],
6545  [2,4],
6546  [2,8],
6547  [3,5],
6548  [3,9],
6549  [4,6],
6550  [4,10],
6551  [5,7],
6552  [5,11],
6553  [6,7],
6554  [6,12],
6555  [7,13],
6556  [8,9],
6557  [8,10],
6558  [8,14],
6559  [9,11],
6560  [9,14],
6561  [10,12],
6562  [10,14],
6563  [11,13],
6564  [11,15],
6565  [12,13],
6566  [12,15],
6567  [13,15],
6568  [14,15]
6569  ]
6570  ],
6571  [
6572  "cupolas_triangular_cupola",
6573  "Triangular Cupola",
6574  "J3",
6575  "cupolas",
6576  "Polyhedron Database #47",
6577  [
6578  [ 0.48245064068, -0.26261286572, 0.83562902180],
6579  [ 0.96490128135, -0.26261286572, 0.00000000000],
6580  [ 0.48245064068, 0.52522573144, 0.27854300727],
6581  [-0.48245064068, -0.26261286572, 0.83562902180],
6582  [-0.48245064068, 0.52522573144, 0.27854300727],
6583  [ 0.48245064068, -0.26261286572, -0.83562902180],
6584  [ 0.00000000000, 0.52522573144, -0.55708601453],
6585  [-0.96490128135, -0.26261286572, -0.00000000000],
6586  [-0.48245064068, -0.26261286572, -0.83562902180]
6587  ],
6588  [
6589  [1.00000000000, -28.56082521782, 33.31860684000],
6590  [1.00000000000, -15.22515701068, 89.99999999999],
6591  [0.76564149349, 47.43070269790, 68.66603725294],
6592  [1.00000000000, -151.43917478219, 33.31860684000],
6593  [0.76564149349, 132.56929730209, 68.66603725295],
6594  [1.00000000000, -28.56082521781, 146.68139315999],
6595  [0.76564149349, 89.99999999999, 136.68614334171],
6596  [1.00000000000, -164.77484298931, 90.00000000000],
6597  [1.00000000000, -151.43917478217, 146.68139315999]
6598  ],
6599  [
6600  [1,5,8,7,3,0],
6601  [4,6,2],
6602  [5,1,2,6],
6603  [8,5,6],
6604  [7,8,6,4],
6605  [3,7,4],
6606  [0,3,4,2],
6607  [1,0,2]
6608  ],
6609  [
6610  [0,1],
6611  [0,2],
6612  [0,3],
6613  [1,2],
6614  [1,5],
6615  [2,4],
6616  [2,6],
6617  [3,4],
6618  [3,7],
6619  [4,6],
6620  [4,7],
6621  [5,6],
6622  [5,8],
6623  [6,8],
6624  [7,8]
6625  ]
6626  ],
6627  [
6628  "cupolas_triangular_gyrobicupola",
6629  "Triangular Gyrobicupola",
6630  "Cuboctahedron",
6631  "cupolas",
6632  "Exact Mathematics",
6633  [
6634  [ 0.00000000000, -0.81649658093, -0.57735026919],
6635  [-0.50000000000, -0.81649658093, 0.28867513459],
6636  [-1.00000000000, 0.00000000000, -0.00000000000],
6637  [-0.50000000000, 0.00000000000, -0.86602540378],
6638  [ 0.50000000000, -0.81649658093, 0.28867513459],
6639  [-0.50000000000, -0.00000000000, 0.86602540378],
6640  [-0.50000000000, 0.81649658093, -0.28867513459],
6641  [ 0.50000000000, 0.00000000000, -0.86602540378],
6642  [ 1.00000000000, 0.00000000000, -0.00000000000],
6643  [ 0.50000000000, -0.00000000000, 0.86602540378],
6644  [ 0.00000000000, 0.81649658093, 0.57735026919],
6645  [ 0.50000000000, 0.81649658093, -0.28867513459]
6646  ],
6647  [
6648  [1.00000000000, -89.99999999999, 125.26438968275],
6649  [1.00000000000, -121.48215410529, 73.22134511904],
6650  [1.00000000000, 179.99999999999, 89.99999999999],
6651  [1.00000000000, 179.99999999998, 149.99999999999],
6652  [1.00000000000, -58.51784589470, 73.22134511904],
6653  [1.00000000000, -179.99999999998, 30.00000000000],
6654  [1.00000000000, 121.48215410529, 106.77865488095],
6655  [1.00000000000, 0.00000000001, 149.99999999999],
6656  [1.00000000000, 0.00000000000, 89.99999999999],
6657  [1.00000000000, -0.00000000001, 30.00000000000],
6658  [1.00000000000, 89.99999999999, 54.73561031724],
6659  [1.00000000000, 58.51784589470, 106.77865488095]
6660  ],
6661  [
6662  [3,2,1,0],
6663  [0,4,8,7],
6664  [1,5,9,4],
6665  [2,6,10,5],
6666  [3,7,11,6],
6667  [8,9,10,11],
6668  [0,1,4],
6669  [1,2,5],
6670  [2,3,6],
6671  [3,0,7],
6672  [4,9,8],
6673  [5,10,9],
6674  [6,11,10],
6675  [7,8,11]
6676  ],
6677  [
6678  [0,1],
6679  [1,2],
6680  [2,3],
6681  [3,0],
6682  [4,0],
6683  [0,7],
6684  [7,8],
6685  [8,4],
6686  [5,1],
6687  [1,4],
6688  [4,9],
6689  [9,5],
6690  [6,2],
6691  [2,5],
6692  [5,10],
6693  [10,6],
6694  [7,3],
6695  [3,6],
6696  [6,11],
6697  [11,7],
6698  [8,9],
6699  [9,10],
6700  [10,11],
6701  [11,8]
6702  ]
6703  ],
6704  [
6705  "cupolas_triangular_orthobicupola",
6706  "Triangular Orthobicupola",
6707  "J27",
6708  "cupolas",
6709  "Polyhedron Database #71",
6710  [
6711  [-0.50000000000, -0.00000000000, -0.86602540378],
6712  [ 0.50000000000, 0.00000000000, -0.86602540378],
6713  [ 0.00000000000, 0.81649658093, -0.57735026919],
6714  [ 0.00000000000, -0.81649658093, -0.57735026919],
6715  [-1.00000000000, -0.00000000000, -0.00000000000],
6716  [-0.50000000000, 0.81649658093, 0.28867513459],
6717  [-0.50000000000, -0.81649658093, 0.28867513459],
6718  [ 1.00000000000, 0.00000000000, 0.00000000000],
6719  [ 0.50000000000, 0.81649658093, 0.28867513459],
6720  [ 0.50000000000, -0.81649658093, 0.28867513459],
6721  [-0.50000000000, 0.00000000000, 0.86602540378],
6722  [ 0.50000000000, 0.00000000000, 0.86602540378]
6723  ],
6724  [
6725  [1.00000000000, -179.99999999998, 150.00000000000],
6726  [1.00000000000, 0.00000000000, 149.99999999998],
6727  [1.00000000000, 89.99999999999, 125.26438968275],
6728  [1.00000000000, -89.99999999999, 125.26438968275],
6729  [1.00000000000, -179.99999999998, 89.99999999999],
6730  [1.00000000000, 121.48215410529, 73.22134511904],
6731  [1.00000000000, -121.48215410529, 73.22134511904],
6732  [1.00000000000, 0.00000000001, 89.99999999999],
6733  [1.00000000000, 58.51784589470, 73.22134511903],
6734  [1.00000000000, -58.51784589470, 73.22134511903],
6735  [1.00000000000, 179.99999999999, 30.00000000000],
6736  [1.00000000000, 0.00000000001, 29.99999999999]
6737  ],
6738  [
6739  [8,5,2],
6740  [4,0,2,5],
6741  [10,4,5],
6742  [11,10,5,8],
6743  [7,11,8],
6744  [1,7,8,2],
6745  [0,1,2],
6746  [9,3,6],
6747  [0,4,6,3],
6748  [1,0,3],
6749  [7,1,3,9],
6750  [11,7,9],
6751  [10,11,9,6],
6752  [4,10,6]
6753  ],
6754  [
6755  [0,1],
6756  [0,2],
6757  [0,3],
6758  [0,4],
6759  [1,2],
6760  [1,3],
6761  [1,7],
6762  [2,5],
6763  [2,8],
6764  [3,6],
6765  [3,9],
6766  [4,5],
6767  [4,6],
6768  [4,10],
6769  [5,8],
6770  [5,10],
6771  [6,9],
6772  [6,10],
6773  [7,8],
6774  [7,9],
6775  [7,11],
6776  [8,11],
6777  [9,11],
6778  [10,11]
6779  ]
6780  ],
6781  [
6782  "dipyramids_decagonal_bi_pyramid",
6783  "Decagonal Bi-Pyramid",
6784  empty_str,
6785  "dipyramids",
6786  "George W. Hart, 1997. george@li.net",
6787  [
6788  [ 0.09592986243, 0.00000000000, 0.31043557716],
6789  [-0.10486056224, 0.00000000000, 0.30753382347],
6790  [-0.00000000000, -1.00000000000, -0.00000000000],
6791  [ 0.26007835274, 0.00000000000, 0.19476148707],
6792  [-0.00000000000, 1.00000000000, -0.00000000000],
6793  [-0.26559780113, 0.00000000000, 0.18716458288],
6794  [ 0.32488563406, 0.00000000000, 0.00469514267],
6795  [-0.32488563406, -0.00000000000, -0.00469514267],
6796  [ 0.26559780113, -0.00000000000, -0.18716458288],
6797  [-0.26007835274, -0.00000000000, -0.19476148707],
6798  [ 0.10486056224, -0.00000000000, -0.30753382347],
6799  [-0.09592986243, -0.00000000000, -0.31043557716]
6800  ],
6801  [
6802  [0.32491966095, 0.00000000000, 17.17203674418],
6803  [0.32491966714, 179.99999999999, 18.82796235856],
6804  [1.00000000000, -89.99999999999, 89.99999999999],
6805  [0.32491966147, 0.00000000000, 53.17203948142],
6806  [1.00000000000, 89.99999999999, 89.99999999999],
6807  [0.32491964091, 179.99999999999, 54.82796225358],
6808  [0.32491955863, 0.00000000000, 89.17203746329],
6809  [0.32491955863, -179.99999999999, 90.82796253670],
6810  [0.32491964091, -0.00000000000, 125.17203774641],
6811  [0.32491966147, -179.99999999999, 126.82796051856],
6812  [0.32491966714, -0.00000000000, 161.17203764143],
6813  [0.32491966095, -179.99999999999, 162.82796325581]
6814  ],
6815  [
6816  [1,0,2],
6817  [0,3,2],
6818  [1,4,0],
6819  [2,5,1],
6820  [4,3,0],
6821  [6,2,3],
6822  [5,4,1],
6823  [7,5,2],
6824  [4,6,3],
6825  [6,8,2],
6826  [5,7,4],
6827  [2,9,7],
6828  [8,6,4],
6829  [10,2,8],
6830  [9,4,7],
6831  [11,9,2],
6832  [4,10,8],
6833  [10,11,2],
6834  [9,11,4],
6835  [11,10,4]
6836  ],
6837  [
6838  [0,1],
6839  [0,2],
6840  [0,3],
6841  [0,4],
6842  [1,2],
6843  [1,4],
6844  [1,5],
6845  [2,3],
6846  [2,5],
6847  [2,6],
6848  [2,7],
6849  [2,8],
6850  [2,9],
6851  [2,10],
6852  [2,11],
6853  [3,4],
6854  [3,6],
6855  [4,5],
6856  [4,6],
6857  [4,7],
6858  [4,8],
6859  [4,9],
6860  [4,10],
6861  [4,11],
6862  [5,7],
6863  [6,8],
6864  [7,9],
6865  [8,10],
6866  [9,11],
6867  [10,11]
6868  ]
6869  ],
6870  [
6871  "dipyramids_hexagonal_bi_pyramid",
6872  "Hexagonal Bi-Pyramid",
6873  empty_str,
6874  "dipyramids",
6875  "George W. Hart, 1997. george@li.net",
6876  [
6877  [-0.28867510881, 0.00000003609, 0.49999997158],
6878  [-0.57735022075, -0.00000000361, -0.00000000000],
6879  [ 0.00000000000, -1.00000000000, 0.00000000000],
6880  [ 0.28867512444, -0.00000000361, 0.49999994993],
6881  [ 0.00000000000, 1.00000000000, 0.00000000000],
6882  [-0.28867512444, 0.00000000361, -0.49999994993],
6883  [ 0.57735022075, 0.00000000361, 0.00000000000],
6884  [ 0.28867510881, -0.00000003609, -0.49999997158]
6885  ],
6886  [
6887  [0.57735023169, 179.99999283787, 29.99999919429],
6888  [0.57735022075, -179.99999964192, 89.99999999999],
6889  [1.00000000000, -89.99999999999, 89.99999999999],
6890  [0.57735022075, -0.00000071611, 30.00000161142],
6891  [1.00000000000, 89.99999999999, 89.99999999999],
6892  [0.57735022075, 179.99999928388, 149.99999838857],
6893  [0.57735022075, 0.00000035806, 89.99999999999],
6894  [0.57735023169, -0.00000716211, 150.00000080570]
6895  ],
6896  [
6897  [1,0,2],
6898  [0,3,2],
6899  [1,4,0],
6900  [2,5,1],
6901  [4,3,0],
6902  [6,2,3],
6903  [5,4,1],
6904  [7,5,2],
6905  [4,6,3],
6906  [6,7,2],
6907  [5,7,4],
6908  [7,6,4]
6909  ],
6910  [
6911  [0,1],
6912  [0,2],
6913  [0,3],
6914  [0,4],
6915  [1,2],
6916  [1,4],
6917  [1,5],
6918  [2,3],
6919  [2,5],
6920  [2,6],
6921  [2,7],
6922  [3,4],
6923  [3,6],
6924  [4,5],
6925  [4,6],
6926  [4,7],
6927  [5,7],
6928  [6,7]
6929  ]
6930  ],
6931  [
6932  "dipyramids_octagonal_di_pyramid",
6933  "Octagonal Di-Pyramid",
6934  empty_str,
6935  "dipyramids",
6936  "George W. Hart, 1997. george@li.net",
6937  [
6938  [ 0.14804268343, 0.00000005300, 0.38685420990],
6939  [-0.16886526074, 0.00000001992, 0.37822922144],
6940  [-0.00000000000, -1.00000000000, -0.00000000000],
6941  [ 0.37822922540, 0.00000001750, 0.16886525092],
6942  [ 0.00000000000, 1.00000000000, 0.00000000000],
6943  [-0.38685424213, -0.00000000493, 0.14804270850],
6944  [ 0.38685424213, 0.00000000493, -0.14804270850],
6945  [-0.37822922540, -0.00000001750, -0.16886525092],
6946  [ 0.16886526074, -0.00000001992, -0.37822922144],
6947  [-0.14804268343, -0.00000005300, -0.38685420990]
6948  ],
6949  [
6950  [0.41421349065, 0.00002051089, 20.94101873648],
6951  [0.41421349596, 179.99999324038, 24.05898259437],
6952  [1.00000000000, -89.99999999999, 89.99999999999],
6953  [0.41421349557, 0.00000265101, 65.94101886917],
6954  [1.00000000000, 89.99999999999, 89.99999999999],
6955  [0.41421352971, -179.99999927041, 69.05897961852],
6956  [0.41421352971, 0.00000072957, 110.94102038147],
6957  [0.41421349557, -179.99999734898, 114.05898113082],
6958  [0.41421349596, -0.00000675961, 155.94101740562],
6959  [0.41421349065, -179.99997948910, 159.05898126351]
6960  ],
6961  [
6962  [1,0,2],
6963  [0,3,2],
6964  [1,4,0],
6965  [2,5,1],
6966  [4,3,0],
6967  [6,2,3],
6968  [5,4,1],
6969  [7,5,2],
6970  [4,6,3],
6971  [6,8,2],
6972  [5,7,4],
6973  [2,9,7],
6974  [8,6,4],
6975  [9,2,8],
6976  [9,4,7],
6977  [4,9,8]
6978  ],
6979  [
6980  [0,1],
6981  [0,2],
6982  [0,3],
6983  [0,4],
6984  [1,2],
6985  [1,4],
6986  [1,5],
6987  [2,3],
6988  [2,5],
6989  [2,6],
6990  [2,7],
6991  [2,8],
6992  [2,9],
6993  [3,4],
6994  [3,6],
6995  [4,5],
6996  [4,6],
6997  [4,7],
6998  [4,8],
6999  [4,9],
7000  [5,7],
7001  [6,8],
7002  [7,9],
7003  [8,9]
7004  ]
7005  ],
7006  [
7007  "dipyramids_pentagonal_di_pyramid",
7008  "Pentagonal Di-Pyramid",
7009  empty_str,
7010  "dipyramids",
7011  "George W. Hart, 1997. george@li.net",
7012  [
7013  [ 0.00000000000, 0.00000001425, -0.72654252016],
7014  [ 0.69098295556, 0.00000000091, -0.22451392694],
7015  [-0.00000009880, -1.00000000000, -0.00000008837],
7016  [-0.69098274808, 0.00000008787, -0.22451399518],
7017  [ 0.00000000000, 0.99999995655, 0.00000000000],
7018  [ 0.42705100182, -0.00000004706, 0.58778529964],
7019  [-0.42705111050, -0.00000001253, 0.58778523101]
7020  ],
7021  [
7022  [0.72654252016, 89.99999999999, 179.99999887622],
7023  [0.72654246143, 0.00000007552, 107.99999661865],
7024  [1.00000000000, -90.00000566107, 90.00000506351],
7025  [0.72654228519, 179.99999271350, 108.00000679313],
7026  [0.99999995655, 89.99999999999, 89.99999999999],
7027  [0.72654257730, -0.00000631324, 35.99999899818],
7028  [0.72654258566, -179.99999831890, 36.00000911322]
7029  ],
7030  [
7031  [1,0,2],
7032  [0,3,2],
7033  [1,4,0],
7034  [2,5,1],
7035  [4,3,0],
7036  [6,2,3],
7037  [5,4,1],
7038  [6,5,2],
7039  [4,6,3],
7040  [5,6,4]
7041  ],
7042  [
7043  [0,1],
7044  [0,2],
7045  [0,3],
7046  [0,4],
7047  [1,2],
7048  [1,4],
7049  [1,5],
7050  [2,3],
7051  [2,5],
7052  [2,6],
7053  [3,4],
7054  [3,6],
7055  [4,5],
7056  [4,6],
7057  [5,6]
7058  ]
7059  ],
7060  [
7061  "dipyramids_square_di_pyramid",
7062  "Square Di-Pyramid",
7063  "Octahedron",
7064  "dipyramids",
7065  "Exact Mathematics",
7066  [
7067  [ 0.00000000000, 1.00000000000, 0.00000000000],
7068  [-0.70710678119, 0.00000000000, 0.70710678119],
7069  [-0.70710678119, 0.00000000000, -0.70710678119],
7070  [ 0.70710678119, 0.00000000000, -0.70710678119],
7071  [ 0.70710678119, 0.00000000000, 0.70710678119],
7072  [ 0.00000000000, -1.00000000000, 0.00000000000]
7073  ],
7074  [
7075  [1.00000000000, 89.99999999999, 89.99999999999],
7076  [1.00000000000, 179.99999999999, 45.00000000000],
7077  [1.00000000000, 179.99999999999, 134.99999999999],
7078  [1.00000000000, 0.00000000000, 134.99999999999],
7079  [1.00000000000, 0.00000000000, 45.00000000000],
7080  [1.00000000000, -89.99999999999, 89.99999999999]
7081  ],
7082  [
7083  [0,1,2],
7084  [0,2,3],
7085  [0,3,4],
7086  [0,4,1],
7087  [5,2,1],
7088  [5,3,2],
7089  [5,4,3],
7090  [5,1,4]
7091  ],
7092  [
7093  [0,1],
7094  [0,2],
7095  [0,3],
7096  [0,4],
7097  [1,2],
7098  [1,4],
7099  [1,5],
7100  [2,3],
7101  [2,5],
7102  [3,4],
7103  [3,5],
7104  [4,5]
7105  ]
7106  ],
7107  [
7108  "dipyramids_triangular_di_pyramid",
7109  "Triangular Di-Pyramid",
7110  empty_str,
7111  "dipyramids",
7112  "George W. Hart, 1997. george@li.net",
7113  [
7114  [-0.00000000000, 0.00000000000, -1.00000000000],
7115  [ 0.86602529650, 0.00000016113, 0.49999996108],
7116  [ 0.00000012570, -0.57735024545, 0.00000005844],
7117  [-0.86602535292, -0.00000013763, 0.50000000631],
7118  [-0.00000006928, 0.57735022194, -0.00000002583]
7119  ],
7120  [
7121  [1.00000000000, 179.99999999999, 179.99999999999],
7122  [0.99999988763, 0.00001066053, 59.99999885779],
7123  [0.57735024545, -89.99998752578, 89.99999420016],
7124  [0.99999995911, -179.99999089475, 59.99999823004],
7125  [0.57735022194, 90.00000687480, 90.00000256309]
7126  ],
7127  [
7128  [1,0,2],
7129  [0,3,2],
7130  [1,4,0],
7131  [2,3,1],
7132  [4,3,0],
7133  [3,4,1]
7134  ],
7135  [
7136  [0,1],
7137  [0,2],
7138  [0,3],
7139  [0,4],
7140  [1,2],
7141  [1,3],
7142  [1,4],
7143  [2,3],
7144  [3,4]
7145  ]
7146  ],
7147  [
7148  "johnson_augmented_dodecahedron",
7149  "Augmented Dodecahedron",
7150  "J58",
7151  "johnson",
7152  "Polyhedron Database #102",
7153  [
7154  [ 0.27773636804, 0.69088866138, -0.42699267518],
7155  [ 0.47567343901, 0.14601464965, -0.69942968105],
7156  [ 0.85065080835, 0.44721359550, -0.27639320225],
7157  [-0.36280144887, 0.69088866138, -0.42699267518],
7158  [-0.04253254042, -0.19073600920, -0.86780501047],
7159  [ 0.47567343901, 0.69088866138, 0.18219498953],
7160  [-0.56073851984, 0.14601464965, -0.69942968105],
7161  [ 0.79594234746, -0.19073600920, -0.25861734576],
7162  [ 0.79594234746, 0.14601464965, 0.28625666598],
7163  [-0.56073851984, 0.69088866138, 0.18219498953],
7164  [-0.04253254042, 0.69088866138, 0.55869367185],
7165  [-0.04253254042, -0.73561002093, -0.53105435163],
7166  [ 0.47567343901, -0.73561002093, -0.15455566931],
7167  [-0.88100742830, -0.19073600920, -0.25861734576],
7168  [-0.88100742830, 0.14601464965, 0.28625666598],
7169  [ 0.47567343901, -0.19073600920, 0.72706900127],
7170  [-0.56073851984, -0.73561002093, -0.15455566931],
7171  [-0.04253254042, 0.14601464965, 0.89544433069],
7172  [ 0.27773636804, -0.73561002093, 0.45463199540],
7173  [-0.56073851984, -0.19073600920, 0.72706900127],
7174  [-0.36280144888, -0.73561002093, 0.45463199540]
7175  ],
7176  [
7177  [0.85836319656, 68.09993525174, 119.83142881234],
7178  [0.85836319656, 17.06460429813, 144.57166127999],
7179  [1.00000000000, 27.73230144769, 106.04505713531],
7180  [0.88953627154, 117.70499212965, 118.68652279556],
7181  [0.88953627154, -102.57081209745, 167.30927604114],
7182  [0.85836319656, 55.45278028813, 77.74525379095],
7183  [0.90826749599, 165.40447769496, 140.36018810267],
7184  [0.85836319656, -13.47598249654, 107.53517687421],
7185  [0.85836319656, 10.39525699122, 70.51917868900],
7186  [0.90826749599, 129.06344822202, 78.42817586420],
7187  [0.88953627154, 93.52280129087, 51.09190891299],
7188  [0.90826749599, -93.30912412291, 125.78104858240],
7189  [0.88953627154, -57.11175340200, 100.00584177064],
7190  [0.93778315481, -167.78412914715, 106.00821689124],
7191  [0.93778315481, 170.58956755276, 72.22690021815],
7192  [0.88953627154, -21.84984732462, 35.17887830685],
7193  [0.93778315481, -127.31743617720, 99.48617409343],
7194  [0.90826749599, 106.24028907744, 9.63919240680],
7195  [0.90826749599, -69.31550702301, 59.96370032475],
7196  [0.93778315481, -161.21418990362, 39.16720701454],
7197  [0.93778315481, -116.25242657785, 61.00099891251]
7198  ],
7199  [
7200  [12,11,16,20,18],
7201  [13,16,11,4,6],
7202  [4,11,12,7,1],
7203  [7,12,18,15,8],
7204  [15,18,20,19,17],
7205  [19,20,16,13,14],
7206  [14,9,10,17,19],
7207  [17,10,5,8,15],
7208  [1,0,3,6,4],
7209  [6,3,9,14,13],
7210  [0,5,10,9,3],
7211  [5,0,2],
7212  [8,5,2],
7213  [0,1,2],
7214  [1,7,2],
7215  [8,2,7]
7216  ],
7217  [
7218  [0,1],
7219  [0,2],
7220  [0,3],
7221  [0,5],
7222  [1,2],
7223  [1,4],
7224  [1,7],
7225  [2,5],
7226  [2,7],
7227  [2,8],
7228  [3,6],
7229  [3,9],
7230  [4,6],
7231  [4,11],
7232  [5,8],
7233  [5,10],
7234  [6,13],
7235  [7,8],
7236  [7,12],
7237  [8,15],
7238  [9,10],
7239  [9,14],
7240  [10,17],
7241  [11,12],
7242  [11,16],
7243  [12,18],
7244  [13,14],
7245  [13,16],
7246  [14,19],
7247  [15,17],
7248  [15,18],
7249  [16,20],
7250  [17,19],
7251  [18,20],
7252  [19,20]
7253  ]
7254  ],
7255  [
7256  "johnson_augmented_hexagonal_prism",
7257  "Augmented Hexagonal Prism",
7258  "J54",
7259  "johnson",
7260  "Polyhedron Database #98",
7261  [
7262  [-0.76081614824, -0.34432368230, 0.04166666667],
7263  [-0.41649246594, -0.34432368230, -0.55471944532],
7264  [-0.76081614824, 0.34432368230, 0.04166666667],
7265  [-0.41649246594, -0.34432368230, 0.63805277865],
7266  [-0.41649246594, 0.34432368230, -0.55471944532],
7267  [ 0.27215489865, -0.34432368230, -0.55471944532],
7268  [-0.41649246594, 0.34432368230, 0.63805277865],
7269  [ 0.27215489865, -0.34432368230, 0.63805277865],
7270  [ 0.27215489865, 0.34432368230, -0.55471944532],
7271  [ 0.61647858094, -0.34432368230, 0.04166666667],
7272  [ 0.86602540378, 0.00000000000, -0.50000000000],
7273  [ 0.27215489865, 0.34432368230, 0.63805277865],
7274  [ 0.61647858094, 0.34432368230, 0.04166666667]
7275  ],
7276  [
7277  [0.83614360054, -155.64984928691, 87.14365655167],
7278  [0.77442781161, -140.41869582976, 135.74950155013],
7279  [0.83614360054, 155.64984928692, 87.14365655166],
7280  [0.83614360054, -140.41869582976, 40.26263642377],
7281  [0.77442781161, 140.41869582977, 135.74950155013],
7282  [0.70734768683, -51.67700624032, 141.64901851704],
7283  [0.83614360054, 140.41869582978, 40.26263642377],
7284  [0.77442781161, -51.67700624032, 34.52265131214],
7285  [0.70734768683, 51.67700624031, 141.64901851704],
7286  [0.70734768683, -29.18480325296, 86.62300879256],
7287  [1.00000000000, 0.00000000000, 119.99999999999],
7288  [0.77442781161, 51.67700624031, 34.52265131213],
7289  [0.70734768683, 29.18480325297, 86.62300879256]
7290  ],
7291  [
7292  [3,7,9,5,1,0],
7293  [6,2,4,8,12,11],
7294  [4,2,0,1],
7295  [8,4,1,5],
7296  [11,12,9,7],
7297  [6,11,7,3],
7298  [2,6,3,0],
7299  [9,10,5],
7300  [10,8,5],
7301  [12,10,9],
7302  [8,10,12]
7303  ],
7304  [
7305  [0,1],
7306  [0,2],
7307  [0,3],
7308  [1,4],
7309  [1,5],
7310  [2,4],
7311  [2,6],
7312  [3,6],
7313  [3,7],
7314  [4,8],
7315  [5,8],
7316  [5,9],
7317  [5,10],
7318  [6,11],
7319  [7,9],
7320  [7,11],
7321  [8,10],
7322  [8,12],
7323  [9,10],
7324  [9,12],
7325  [10,12],
7326  [11,12]
7327  ]
7328  ],
7329  [
7330  "johnson_augmented_pentagonal_prism",
7331  "Augmented Pentagonal Prism",
7332  "J52",
7333  "johnson",
7334  "Polyhedron Database #96",
7335  [
7336  [-0.73290407084, -0.39418110105, 0.23813496807],
7337  [-0.48928675267, -0.39418110105, -0.51164204143],
7338  [-0.09510565163, -0.39418110105, 0.70152264392],
7339  [ 0.29907544942, -0.39418110105, -0.51164204143],
7340  [ 0.54269276758, -0.39418110105, 0.23813496807],
7341  [-0.73290407084, 0.39418110105, 0.23813496807],
7342  [-0.48928675267, 0.39418110105, -0.51164204143],
7343  [-0.09510565163, 0.39418110105, 0.70152264392],
7344  [ 0.95105651630, 0.00000000000, -0.30901699437],
7345  [ 0.29907544942, 0.39418110105, -0.51164204143],
7346  [ 0.54269276758, 0.39418110105, 0.23813496807]
7347  ],
7348  [
7349  [0.86558383794, -151.72710252576, 74.03114138961],
7350  [0.81028257128, -141.14425100408, 129.15618921159],
7351  [0.81028257128, -103.56473270009, 30.02864629380],
7352  [0.71176010244, -52.81146402183, 135.95883895948],
7353  [0.71176010244, -35.99251743913, 70.45348921848],
7354  [0.86558383794, 151.72710252578, 74.03114138960],
7355  [0.81028257128, 141.14425100410, 129.15618921159],
7356  [0.81028257128, 103.56473270011, 30.02864629380],
7357  [1.00000000000, 0.00000000001, 107.99999999999],
7358  [0.71176010244, 52.81146402184, 135.95883895948],
7359  [0.71176010244, 35.99251743914, 70.45348921849]
7360  ],
7361  [
7362  [2,4,3,1,0],
7363  [5,6,9,10,7],
7364  [6,5,0,1],
7365  [9,6,1,3],
7366  [7,10,4,2],
7367  [5,7,2,0],
7368  [4,8,3],
7369  [8,9,3],
7370  [10,8,4],
7371  [9,8,10]
7372  ],
7373  [
7374  [0,1],
7375  [0,2],
7376  [0,5],
7377  [1,3],
7378  [1,6],
7379  [2,4],
7380  [2,7],
7381  [3,4],
7382  [3,8],
7383  [3,9],
7384  [4,8],
7385  [4,10],
7386  [5,6],
7387  [5,7],
7388  [6,9],
7389  [7,10],
7390  [8,9],
7391  [8,10],
7392  [9,10]
7393  ]
7394  ],
7395  [
7396  "johnson_augmented_sphenocorona",
7397  "Augmented Sphenocorona",
7398  "J87",
7399  "johnson",
7400  "Polyhedron Database #131",
7401  [
7402  [-0.93889108552, -0.34421436568, 0.00000000000],
7403  [-0.20334578174, -0.45080219293, -0.42910203723],
7404  [-0.59321618873, 0.31373367521, -0.42910412877],
7405  [ 0.22575776842, 0.24969022637, -0.67749213070],
7406  [ 0.65485935422, -0.45080219293, -0.42910230038],
7407  [-0.20334619338, -0.45080177957, 0.42910284551],
7408  [-0.59321723274, 0.31373532865, 0.42910243456],
7409  [ 0.65485915337, -0.45080219293, 0.42910304636],
7410  [ 0.01948424333, 0.73443056504, -0.00000065668],
7411  [ 0.75129860035, 0.28614150457, 0.00000025149],
7412  [ 0.22575736241, 0.24969142419, 0.67749267583]
7413  ],
7414  [
7415  [1.00000000000, -159.86615488841, 89.99999999999],
7416  [0.65475238255, -114.27896474679, 130.94736002540],
7417  [0.79653287368, 152.12702286609, 122.59619941938],
7418  [0.75650999088, 47.88164526254, 153.57909651454],
7419  [0.90343354772, -34.54334676781, 118.35728635715],
7420  [0.65475275551, -114.27902791099, 49.05257464813],
7421  [0.79653338976, 152.12693974662, 57.40396896886],
7422  [0.90343375645, -34.54335497541, 61.64266702645],
7423  [0.73468897542, 88.48031500256, 90.00005121225],
7424  [0.80394436843, 20.84996351053, 89.99998207655],
7425  [0.75651075326, 47.88183325842, 26.42092690931]
7426  ],
7427  [
7428  [1,0,5],
7429  [7,4,1,5],
7430  [8,3,9],
7431  [10,6,8],
7432  [2,3,8],
7433  [6,2,8],
7434  [10,5,6],
7435  [7,5,10],
7436  [2,1,3],
7437  [4,3,1],
7438  [10,9,7],
7439  [9,4,7],
7440  [3,4,9],
7441  [8,9,10],
7442  [5,0,6],
7443  [0,2,6],
7444  [1,2,0]
7445  ],
7446  [
7447  [0,1],
7448  [0,2],
7449  [0,5],
7450  [0,6],
7451  [1,2],
7452  [1,3],
7453  [1,4],
7454  [1,5],
7455  [2,3],
7456  [2,6],
7457  [2,8],
7458  [3,4],
7459  [3,8],
7460  [3,9],
7461  [4,7],
7462  [4,9],
7463  [5,6],
7464  [5,7],
7465  [5,10],
7466  [6,8],
7467  [6,10],
7468  [7,9],
7469  [7,10],
7470  [8,9],
7471  [8,10],
7472  [9,10]
7473  ]
7474  ],
7475  [
7476  "johnson_augmented_triangular_prism",
7477  "Augmented Triangular Prism",
7478  "J49",
7479  "johnson",
7480  "Polyhedron Database #93",
7481  [
7482  [ 0.43001398570, 0.57060707521, 0.41061160655],
7483  [-0.71120016472, 0.57060707521, 0.41061160655],
7484  [ 0.43001398570, -0.57060707521, 0.41061160655],
7485  [ 0.84355853704, 0.00000000000, -0.48702874844],
7486  [-0.14059308951, 0.57060707521, -0.57770883887],
7487  [-0.71120016472, -0.57060707521, 0.41061160655],
7488  [-0.14059308951, -0.57060707521, -0.57770883887]
7489  ],
7490  [
7491  [0.82407909427, 52.99803303787, 60.11457316328],
7492  [1.00000000000, 141.25937990129, 65.75673924112],
7493  [0.82407909427, -52.99803303787, 60.11457316328],
7494  [0.97405749687, 0.00000000000, 119.99999999999],
7495  [0.82407909427, 103.84152264315, 134.51015501195],
7496  [1.00000000000, -141.25937990129, 65.75673924112],
7497  [0.82407909427, -103.84152264315, 134.51015501194]
7498  ],
7499  [
7500  [5,1,0,2],
7501  [6,4,1,5],
7502  [2,3,6],
7503  [2,0,3],
7504  [4,3,0],
7505  [6,5,2],
7506  [4,0,1],
7507  [3,4,6]
7508  ],
7509  [
7510  [0,1],
7511  [0,2],
7512  [0,3],
7513  [0,4],
7514  [1,4],
7515  [1,5],
7516  [2,3],
7517  [2,5],
7518  [2,6],
7519  [3,4],
7520  [3,6],
7521  [4,6],
7522  [5,6]
7523  ]
7524  ],
7525  [
7526  "johnson_augmented_tridiminished_icosahedron",
7527  "Augmented Tridiminished Icosahedron",
7528  "J64",
7529  "johnson",
7530  "George W. Hart, Jan 1996. george@li.net",
7531  [
7532  [-0.73091453612, -0.39599533022, -0.17606739267],
7533  [ 0.05841648846, -0.39599413782, -0.74954949000],
7534  [-0.42941716067, -0.39599533022, 0.75184733858],
7535  [-0.42941691445, 0.43395652800, -0.59104248537],
7536  [ 0.84774736630, -0.39599441163, -0.17606658565],
7537  [ 0.54624869633, -0.39599533022, 0.75184733858],
7538  [ 0.05841488181, 0.43395592793, 0.91035365059],
7539  [ 0.05841547154, 0.94689494300, 0.08040251034],
7540  [ 0.84774631800, 0.43395652800, 0.33687224588],
7541  [-0.82723798991, -0.26878605428, -1.13859728183]
7542  ],
7543  [
7544  [0.84973412750, -151.55202367670, 101.95848639001],
7545  [0.84973424155, -81.60833172960, 151.89657685252],
7546  [0.95209548889, -137.31870046990, 37.84471910510],
7547  [0.84973429619, 134.69874183379, 134.07198063021],
7548  [0.95209590572, -25.03792269813, 100.65677509345],
7549  [1.01018530989, -35.93970722840, 41.90384299537],
7550  [1.01018503995, 82.33348912051, 25.68703258673],
7551  [0.95209608973, 86.46980516921, 85.15572258294],
7552  [1.01018562548, 27.10764897684, 70.52013410055],
7553  [1.43281973923, -161.99999136161, 142.62267586606]
7554  ],
7555  [
7556  [8,5,6],
7557  [8,4,5],
7558  [6,7,8],
7559  [5,2,6],
7560  [0,1,9],
7561  [3,0,9],
7562  [1,3,9],
7563  [7,3,1,4,8],
7564  [2,0,3,7,6],
7565  [0,2,5,4,1]
7566  ],
7567  [
7568  [0,1],
7569  [0,2],
7570  [0,3],
7571  [0,9],
7572  [1,3],
7573  [1,4],
7574  [1,9],
7575  [2,5],
7576  [2,6],
7577  [3,7],
7578  [3,9],
7579  [4,5],
7580  [4,8],
7581  [5,6],
7582  [5,8],
7583  [6,7],
7584  [6,8],
7585  [7,8]
7586  ]
7587  ],
7588  [
7589  "johnson_augmented_truncated_cube",
7590  "Augmented Truncated Cube",
7591  "J66",
7592  "johnson",
7593  "Polyhedron Database #110",
7594  [
7595  [-0.74979229800, 0.25321139622, 0.61130638691],
7596  [-0.74979229800, -0.25321139623, 0.61130638691],
7597  [-0.74979229800, 0.61130638691, 0.25321139623],
7598  [-0.74979229800, -0.61130638691, 0.25321139622],
7599  [-0.74979229800, 0.61130638691, -0.25321139622],
7600  [-0.74979229800, -0.61130638691, -0.25321139622],
7601  [-0.74979229800, 0.25321139623, -0.61130638691],
7602  [-0.74979229800, -0.25321139622, -0.61130638691],
7603  [-0.39169730731, 0.61130638691, 0.61130638691],
7604  [-0.39169730731, -0.61130638691, 0.61130638691],
7605  [-0.39169730731, 0.61130638691, -0.61130638691],
7606  [-0.39169730731, -0.61130638691, -0.61130638691],
7607  [ 0.11472548514, 0.61130638691, 0.61130638691],
7608  [ 0.11472548514, -0.61130638691, 0.61130638691],
7609  [ 0.11472548514, 0.61130638691, -0.61130638691],
7610  [ 0.11472548514, -0.61130638691, -0.61130638691],
7611  [ 0.47282047583, 0.25321139622, 0.61130638691],
7612  [ 0.47282047583, -0.25321139623, 0.61130638691],
7613  [ 0.47282047583, 0.61130638691, 0.25321139623],
7614  [ 0.47282047583, -0.61130638691, 0.25321139622],
7615  [ 0.47282047583, 0.61130638691, -0.25321139622],
7616  [ 0.47282047583, -0.61130638691, -0.25321139623],
7617  [ 0.47282047583, 0.25321139623, -0.61130638691],
7618  [ 0.47282047583, -0.25321139622, -0.61130638691],
7619  [ 0.83091546652, 0.00000000000, 0.35809499069],
7620  [ 0.83091546652, 0.35809499069, -0.00000000000],
7621  [ 0.83091546652, -0.35809499069, -0.00000000000],
7622  [ 0.83091546652, 0.00000000000, -0.35809499069]
7623  ],
7624  [
7625  [1.00000000000, 161.33972610333, 52.31597669768],
7626  [1.00000000000, -161.33972610331, 52.31597669769],
7627  [1.00000000000, 140.80960571745, 75.33237221050],
7628  [1.00000000000, -140.80960571744, 75.33237221051],
7629  [1.00000000000, 140.80960571745, 104.66762778946],
7630  [1.00000000000, -140.80960571745, 104.66762778948],
7631  [1.00000000000, 161.33972610332, 127.68402330229],
7632  [1.00000000000, -161.33972610333, 127.68402330229],
7633  [0.94911420699, 122.64989987378, 49.90319627792],
7634  [0.94911420699, -122.64989987377, 49.90319627793],
7635  [0.94911420699, 122.64989987378, 130.09680372205],
7636  [0.94911420699, -122.64989987379, 130.09680372206],
7637  [0.87209686062, 79.37078926845, 45.49579789248],
7638  [0.87209686062, -79.37078926845, 45.49579789250],
7639  [0.87209686062, 79.37078926846, 134.50420210749],
7640  [0.87209686062, -79.37078926847, 134.50420210751],
7641  [0.81324701796, 28.17055914015, 41.26336495107],
7642  [0.81324701796, -28.17055914017, 41.26336495108],
7643  [0.81324701796, 52.27951543544, 71.85887908857],
7644  [0.81324701796, -52.27951543543, 71.85887908859],
7645  [0.81324701796, 52.27951543544, 108.14112091140],
7646  [0.81324701796, -52.27951543543, 108.14112091143],
7647  [0.81324701796, 28.17055914018, 138.73663504892],
7648  [0.81324701796, -28.17055914016, 138.73663504893],
7649  [0.90479419475, 0.00000000000, 66.68567769914],
7650  [0.90479419475, 23.31432230086, 89.99999999999],
7651  [0.90479419475, -23.31432230085, 90.00000000000],
7652  [0.90479419475, 0.00000000001, 113.31432230086]
7653  ],
7654  [
7655  [27,26,24,25],
7656  [16,18,25,24],
7657  [17,16,24],
7658  [19,17,24,26],
7659  [21,19,26],
7660  [23,21,26,27],
7661  [22,23,27],
7662  [20,22,27,25],
7663  [18,20,25],
7664  [22,14,10,6,7,11,15,23],
7665  [18,12,8,2,4,10,14,20],
7666  [17,13,9,1,0,8,12,16],
7667  [21,15,11,5,3,9,13,19],
7668  [2,0,1,3,5,7,6,4],
7669  [23,15,21],
7670  [11,7,5],
7671  [19,13,17],
7672  [9,3,1],
7673  [16,12,18],
7674  [8,0,2],
7675  [20,14,22],
7676  [10,4,6]
7677  ],
7678  [
7679  [0,1],
7680  [0,2],
7681  [0,8],
7682  [1,3],
7683  [1,9],
7684  [2,4],
7685  [2,8],
7686  [3,5],
7687  [3,9],
7688  [4,6],
7689  [4,10],
7690  [5,7],
7691  [5,11],
7692  [6,7],
7693  [6,10],
7694  [7,11],
7695  [8,12],
7696  [9,13],
7697  [10,14],
7698  [11,15],
7699  [12,16],
7700  [12,18],
7701  [13,17],
7702  [13,19],
7703  [14,20],
7704  [14,22],
7705  [15,21],
7706  [15,23],
7707  [16,17],
7708  [16,18],
7709  [16,24],
7710  [17,19],
7711  [17,24],
7712  [18,20],
7713  [18,25],
7714  [19,21],
7715  [19,26],
7716  [20,22],
7717  [20,25],
7718  [21,23],
7719  [21,26],
7720  [22,23],
7721  [22,27],
7722  [23,27],
7723  [24,25],
7724  [24,26],
7725  [25,27],
7726  [26,27]
7727  ]
7728  ],
7729  [
7730  "johnson_augmented_truncated_dodecahedron",
7731  "Augmented Truncated Dodecahedron",
7732  "J68",
7733  "johnson",
7734  "Polyhedron Database #112",
7735  [
7736  [-0.03851423300, -0.38441940297, 0.92235479967],
7737  [-0.03851423300, -0.65306162919, 0.75632477305],
7738  [-0.19641817172, -0.11577717675, 0.97366089947],
7739  [-0.19641817172, -0.81909165581, 0.53898864663],
7740  [ 0.11938970571, -0.11577717675, 0.97366089947],
7741  [ 0.11938970571, -0.81909165581, 0.53898864663],
7742  [-0.45191211152, 0.05025284987, 0.89064588616],
7743  [-0.45191211152, -0.81909165581, 0.35336143372],
7744  [ 0.37488364551, 0.05025284987, 0.89064588616],
7745  [ 0.37488364551, -0.81909165581, 0.35336143372],
7746  [-0.70740605132, 0.05025284987, 0.70501867325],
7747  [-0.70740605132, -0.65306162919, 0.27034642041],
7748  [-0.86530999004, -0.11577717675, 0.48768254683],
7749  [-0.86530999004, -0.38441940297, 0.32165252021],
7750  [ 0.63037758531, 0.05025284987, 0.70501867325],
7751  [-0.54950211261, 0.31889507609, 0.75632477305],
7752  [ 0.63037758531, -0.65306162919, 0.27034642041],
7753  [-0.54950211261, -0.81909165581, 0.05301029399],
7754  [ 0.47247364660, 0.31889507609, 0.75632477305],
7755  [ 0.47247364660, -0.81909165581, 0.05301029399],
7756  [ 0.78828152403, -0.11577717675, 0.48768254683],
7757  [ 0.78828152403, -0.38441940297, 0.32165252021],
7758  [-0.96289999112, -0.11577717675, 0.18733140710],
7759  [-0.45191211152, 0.58753730232, 0.62200365994],
7760  [-0.45191211152, -0.81909165581, -0.24734084574],
7761  [ 0.37488364551, 0.58753730232, 0.62200365994],
7762  [ 0.37488364551, -0.81909165581, -0.24734084574],
7763  [ 0.88587152512, -0.11577717675, 0.18733140710],
7764  [-0.19641817172, 0.75356732894, 0.53898864663],
7765  [ 0.11938970571, 0.75356732894, 0.53898864663],
7766  [-0.19641817172, -0.81909165581, -0.43296805866],
7767  [ 0.11938970571, -0.81909165581, -0.43296805866],
7768  [-0.96289999112, 0.05025284987, -0.08131081912],
7769  [-0.45191211152, 0.75356732894, 0.35336143372],
7770  [-0.45191211152, -0.65306162919, -0.51598307196],
7771  [ 0.37488364551, 0.75356732894, 0.35336143372],
7772  [ 0.37488364551, -0.65306162919, -0.51598307196],
7773  [ 0.88587152512, 0.05025284987, -0.08131081912],
7774  [-0.86530999004, 0.31889507609, -0.21563193223],
7775  [-0.86530999004, 0.05025284987, -0.38166195885],
7776  [-0.54950211261, 0.75356732894, 0.05301029399],
7777  [-0.54950211261, -0.38441940297, -0.65030418508],
7778  [ 0.47247364660, 0.75356732894, 0.05301029399],
7779  [-0.70740605132, 0.58753730232, -0.16432583243],
7780  [ 0.47247364660, -0.38441940297, -0.65030418508],
7781  [-0.70740605132, -0.11577717675, -0.59899808527],
7782  [ 0.78828152403, 0.31889507609, -0.21563193223],
7783  [ 0.78828152403, 0.05025284987, -0.38166195885],
7784  [ 0.63037758531, 0.58753730232, -0.16432583243],
7785  [ 0.63037758531, -0.11577717675, -0.59899808527],
7786  [-0.45191211152, 0.75356732894, -0.24734084574],
7787  [-0.45191211152, -0.11577717675, -0.78462529819],
7788  [ 0.37488364551, 0.75356732894, -0.24734084574],
7789  [ 0.37488364551, -0.11577717675, -0.78462529819],
7790  [ 0.64704794768, 0.46739684642, -0.45591284402],
7791  [ 0.64704794768, 0.19875462020, -0.62194287064],
7792  [-0.19641817172, 0.75356732894, -0.43296805866],
7793  [-0.19641817172, 0.05025284987, -0.86764031150],
7794  [ 0.11938970571, 0.75356732894, -0.43296805866],
7795  [ 0.11938970571, 0.05025284987, -0.86764031150],
7796  [ 0.39155400788, 0.63342687304, -0.53892785733],
7797  [ 0.39155400788, 0.19875462020, -0.80757008355],
7798  [-0.03851423300, 0.58753730232, -0.65030418508],
7799  [-0.03851423300, 0.31889507609, -0.81633421169],
7800  [ 0.23365006916, 0.46739684642, -0.75626398375]
7801  ],
7802  [
7803  [1.00000000000, -95.72126112155, 22.72719775062],
7804  [1.00000000000, -93.37510259055, 40.85873946672],
7805  [1.00000000000, -149.48310428469, 13.17941036547],
7806  [1.00000000000, -103.48489724682, 57.38518185222],
7807  [0.98776201772, -44.11991696242, 9.69295648908],
7808  [0.98776201772, -81.70704420209, 56.92977806848],
7809  [1.00000000000, 173.65474951771, 27.04547882984],
7810  [1.00000000000, -118.88655355039, 69.30694618686],
7811  [0.96763277700, 7.63493884668, 23.00981515016],
7812  [0.96763277700, -65.40727491295, 68.58125692566],
7813  [1.00000000000, 175.93663715162, 45.16894734660],
7814  [1.00000000000, -137.28748653415, 74.31511808259],
7815  [1.00000000000, -172.37917180792, 60.81162441972],
7816  [1.00000000000, -156.04651405073, 71.23710822170],
7817  [0.94707580405, 4.55790322760, 41.89101133951],
7818  [0.98776201772, 149.87192453544, 40.03110782121],
7819  [0.94707580405, -46.01256425046, 73.41402160486],
7820  [0.98776201772, -123.85638297522, 86.92362540718],
7821  [0.94707580405, 34.01729757595, 37.00438214972],
7822  [0.94707580405, -60.02251906212, 86.79132940792],
7823  [0.93414473304, -8.35545752341, 58.52925410078],
7824  [0.93414473304, -25.99699449319, 69.85919847897],
7825  [0.98776201772, -173.14378370048, 79.06750242256],
7826  [0.96763277700, 127.56616215954, 49.99835355923],
7827  [0.96763277700, -118.88655355038, 104.80999268679],
7828  [0.93414473304, 57.45970936772, 48.25215319837],
7829  [0.93414473304, -65.40727491295, 105.35375377719],
7830  [0.91283392233, -7.44595282122, 78.15764581783],
7831  [0.94707580405, 104.60915509827, 55.31193580409],
7832  [0.93414473304, 80.99730267312, 54.76115199685],
7833  [0.94707580405, -103.48489724681, 117.20419496133],
7834  [0.93414473304, -81.70704420208, 117.61263225760],
7835  [0.96763277700, 177.01249724481, 94.82028624910],
7836  [0.94707580405, 120.95099218291, 68.09258431123],
7837  [0.94707580405, -124.68284654781, 123.01216425217],
7838  [0.91283392233, 63.55063624099, 67.22559417048],
7839  [0.91283392233, -60.14244247728, 124.41993488351],
7840  [0.89101355615, 3.24673907449, 95.23589934712],
7841  [0.94707580405, 159.76950549616, 103.16062846333],
7842  [0.94707580405, 176.67628272662, 113.76522348900],
7843  [0.93414473304, 126.09957137106, 86.74686532933],
7844  [0.93414473304, -145.02422343268, 134.11887101442],
7845  [0.89101355615, 57.91300118555, 86.58920929992],
7846  [0.93414473304, 140.28861536852, 100.13164576895],
7847  [0.89101355615, -39.13288508080, 136.87362683013],
7848  [0.93414473304, -170.70512773844, 129.88331565772],
7849  [0.87725649663, 22.02553079857, 104.22927014705],
7850  [0.87725649663, 3.64766279262, 115.78931112286],
7851  [0.87725649663, 42.98544557657, 100.79630030050],
7852  [0.87725649663, -10.40714319556, 133.06349129256],
7853  [0.91283392233, 120.95099218290, 105.72135909135],
7854  [0.91283392233, -165.63023159008, 149.26595933447],
7855  [0.87725649663, 63.55063624098, 106.37651081871],
7856  [0.87725649663, -17.16251685320, 153.43250038610],
7857  [0.91923195113, 35.84256660625, 119.73383216422],
7858  [0.91923195113, 17.07546012197, 132.57772158490],
7859  [0.89101355615, 104.60915509825, 119.07326263571],
7860  [0.89101355615, 165.64893193935, 166.84748060496],
7861  [0.87725649663, 80.99730267311, 119.57403949439],
7862  [0.87725649663, 22.82692786820, 171.50871814279],
7863  [0.91923195113, 58.27763841734, 125.89350994440],
7864  [0.91923195113, 26.91255956918, 151.46518300649],
7865  [0.87725649663, 93.75048586378, 137.84168437532],
7866  [0.87725649663, 96.88648664222, 158.52127983275],
7867  [0.91923195113, 63.43969099919, 145.35729477421]
7868  ],
7869  [
7870  [30,24,17,7,3,5,9,19,26,31],
7871  [24,30,34],
7872  [57,51,41,34,30,31,36,44,53,59],
7873  [41,51,45],
7874  [31,26,36],
7875  [47,49,44,36,26,19,16,21,27,37],
7876  [44,49,53],
7877  [19,9,16],
7878  [14,20,21,16,9,5,1,0,4,8],
7879  [21,20,27],
7880  [5,3,1],
7881  [6,2,0,1,3,7,11,13,12,10],
7882  [0,2,4],
7883  [7,17,11],
7884  [32,22,13,11,17,24,34,41,45,39],
7885  [13,22,12],
7886  [56,58,52,42,35,29,28,33,40,50],
7887  [58,56,62],
7888  [51,57,63,62,56,50,43,38,39,45],
7889  [63,57,59],
7890  [50,40,43],
7891  [22,32,38,43,40,33,23,15,10,12],
7892  [38,32,39],
7893  [33,28,23],
7894  [2,6,15,23,28,29,25,18,8,4],
7895  [15,6,10],
7896  [29,35,25],
7897  [20,14,18,25,35,42,48,46,37,27],
7898  [18,14,8],
7899  [42,52,48],
7900  [37,46,47],
7901  [64,61,55,54,60],
7902  [48,52,60,54],
7903  [46,48,54],
7904  [47,46,54,55],
7905  [49,47,55],
7906  [53,49,55,61],
7907  [59,53,61],
7908  [63,59,61,64],
7909  [63,64,62],
7910  [58,62,64,60],
7911  [52,58,60]
7912  ],
7913  [
7914  [0,1],
7915  [0,2],
7916  [0,4],
7917  [1,3],
7918  [1,5],
7919  [2,4],
7920  [2,6],
7921  [3,5],
7922  [3,7],
7923  [4,8],
7924  [5,9],
7925  [6,10],
7926  [6,15],
7927  [7,11],
7928  [7,17],
7929  [8,14],
7930  [8,18],
7931  [9,16],
7932  [9,19],
7933  [10,12],
7934  [10,15],
7935  [11,13],
7936  [11,17],
7937  [12,13],
7938  [12,22],
7939  [13,22],
7940  [14,18],
7941  [14,20],
7942  [15,23],
7943  [16,19],
7944  [16,21],
7945  [17,24],
7946  [18,25],
7947  [19,26],
7948  [20,21],
7949  [20,27],
7950  [21,27],
7951  [22,32],
7952  [23,28],
7953  [23,33],
7954  [24,30],
7955  [24,34],
7956  [25,29],
7957  [25,35],
7958  [26,31],
7959  [26,36],
7960  [27,37],
7961  [28,29],
7962  [28,33],
7963  [29,35],
7964  [30,31],
7965  [30,34],
7966  [31,36],
7967  [32,38],
7968  [32,39],
7969  [33,40],
7970  [34,41],
7971  [35,42],
7972  [36,44],
7973  [37,46],
7974  [37,47],
7975  [38,39],
7976  [38,43],
7977  [39,45],
7978  [40,43],
7979  [40,50],
7980  [41,45],
7981  [41,51],
7982  [42,48],
7983  [42,52],
7984  [43,50],
7985  [44,49],
7986  [44,53],
7987  [45,51],
7988  [46,47],
7989  [46,48],
7990  [46,54],
7991  [47,49],
7992  [47,55],
7993  [48,52],
7994  [48,54],
7995  [49,53],
7996  [49,55],
7997  [50,56],
7998  [51,57],
7999  [52,58],
8000  [52,60],
8001  [53,59],
8002  [53,61],
8003  [54,55],
8004  [54,60],
8005  [55,61],
8006  [56,58],
8007  [56,62],
8008  [57,59],
8009  [57,63],
8010  [58,60],
8011  [58,62],
8012  [59,61],
8013  [59,63],
8014  [60,64],
8015  [61,64],
8016  [62,63],
8017  [62,64],
8018  [63,64]
8019  ]
8020  ],
8021  [
8022  "johnson_augmented_truncated_tetrahedron",
8023  "Augmented Truncated Tetrahedron",
8024  "J65",
8025  "johnson",
8026  "Polyhedron Database #109",
8027  [
8028  [ 0.86350605182, -0.49544035708, 0.09431940974],
8029  [ 0.86350605182, 0.07622159340, 0.49854545146],
8030  [ 0.51343603081, -0.49544035708, -0.51201965285],
8031  [ 0.51343603081, 0.64788354387, 0.29643243060],
8032  [ 0.16336600980, 0.07622159340, -0.71413267372],
8033  [ 0.51343603081, -0.49544035708, 0.70065847233],
8034  [ 0.16336600980, 0.64788354387, -0.30990663199],
8035  [-0.18670401120, -0.49544035708, -0.51201965285],
8036  [-0.42008402521, 0.45732956038, -0.64676166676],
8037  [-0.18670401120, 0.64788354387, 0.29643243060],
8038  [-0.18670401120, -0.49544035708, 0.70065847233],
8039  [-0.53677403221, -0.49544035708, 0.09431940974],
8040  [-0.77015404622, -0.11433239009, -0.44464864590],
8041  [-0.53677403221, 0.07622159340, 0.49854545146],
8042  [-0.77015404622, 0.45732956038, -0.04042260417]
8043  ],
8044  [
8045  [1.00000000000, -29.84523633110, 84.58785102731],
8046  [1.00000000000, 5.04441855310, 60.09618558877],
8047  [0.87820375202, -43.97810392352, 125.66398182365],
8048  [0.87820375202, 51.60380975674, 70.27268664848],
8049  [0.73653490082, 25.01232048431, 165.83248980473],
8050  [1.00000000000, -43.97810392352, 45.52014277060],
8051  [0.73653490082, 75.84769483407, 114.88276802804],
8052  [0.73653490082, -110.64864556054, 134.04105621432],
8053  [0.89661673452, 132.56929730208, 136.16486933020],
8054  [0.73653490082, 106.07567286245, 66.26738432360],
8055  [0.87820375202, -110.64864556054, 37.07649367132],
8056  [0.73653490082, -137.29310940924, 82.64259653599],
8057  [0.89661673452, -171.55588834533, 119.73032226169],
8058  [0.73653490082, 171.91806526131, 47.39971717089],
8059  [0.89661673452, 149.29749457184, 92.58396906195]
8060  ],
8061  [
8062  [7,4,8,12],
8063  [11,7,12],
8064  [10,5,0,2,7,11],
8065  [11,13,10],
8066  [11,12,14,13],
8067  [9,13,14],
8068  [9,3,1,5,10,13],
8069  [6,3,9],
8070  [5,1,0],
8071  [6,4,2,0,1,3],
8072  [7,2,4],
8073  [8,6,9,14],
8074  [8,4,6],
8075  [12,8,14]
8076  ],
8077  [
8078  [0,1],
8079  [0,2],
8080  [0,5],
8081  [1,3],
8082  [1,5],
8083  [2,4],
8084  [2,7],
8085  [3,6],
8086  [3,9],
8087  [4,6],
8088  [4,7],
8089  [4,8],
8090  [5,10],
8091  [6,8],
8092  [6,9],
8093  [7,11],
8094  [7,12],
8095  [8,12],
8096  [8,14],
8097  [9,13],
8098  [9,14],
8099  [10,11],
8100  [10,13],
8101  [11,12],
8102  [11,13],
8103  [12,14],
8104  [13,14]
8105  ]
8106  ],
8107  [
8108  "johnson_biaugmented_pentagonal_prism",
8109  "Biaugmented Pentagonal Prism",
8110  "J53",
8111  "johnson",
8112  "Polyhedron Database #97",
8113  [
8114  [-0.36369162410, -0.36369162410, -0.44830751692],
8115  [ 0.36369162410, -0.36369162410, -0.44830751692],
8116  [-0.58846540921, -0.36369162410, 0.24347506112],
8117  [-0.96524266869, 0.00000000000, -0.26135529559],
8118  [ 0.58846540921, -0.36369162410, 0.24347506112],
8119  [-0.00000000000, -0.36369162410, 0.67102020718],
8120  [ 0.96524266869, 0.00000000000, -0.26135529559],
8121  [-0.36369162410, 0.36369162410, -0.44830751692],
8122  [ 0.36369162410, 0.36369162410, -0.44830751692],
8123  [-0.58846540921, 0.36369162410, 0.24347506112],
8124  [ 0.58846540921, 0.36369162410, 0.24347506112],
8125  [-0.00000000000, 0.36369162410, 0.67102020718]
8126  ],
8127  [
8128  [0.68229233075, -134.99999999999, 131.07609296051],
8129  [0.68229233075, -44.99999999999, 131.07609296050],
8130  [0.73337796576, -148.28252558853, 70.61031963181],
8131  [1.00000000000, 179.99999999999, 105.15049579085],
8132  [0.73337796576, -31.71747441145, 70.61031963179],
8133  [0.76324289442, -89.99999999999, 28.45760506532],
8134  [1.00000000000, 0.00000000000, 105.15049579083],
8135  [0.68229233075, 134.99999999998, 131.07609296050],
8136  [0.68229233075, 44.99999999999, 131.07609296049],
8137  [0.73337796576, 148.28252558853, 70.61031963181],
8138  [0.73337796576, 31.71747441146, 70.61031963179],
8139  [0.76324289442, 90.00000000001, 28.45760506531]
8140  ],
8141  [
8142  [1,0,2,5,4],
8143  [10,11,9,7,8],
8144  [11,10,4,5],
8145  [9,11,5,2],
8146  [8,7,0,1],
8147  [0,3,2],
8148  [3,9,2],
8149  [7,3,0],
8150  [9,3,7],
8151  [4,6,1],
8152  [6,8,1],
8153  [10,6,4],
8154  [8,6,10]
8155  ],
8156  [
8157  [0,1],
8158  [0,2],
8159  [0,3],
8160  [0,7],
8161  [1,4],
8162  [1,6],
8163  [1,8],
8164  [2,3],
8165  [2,5],
8166  [2,9],
8167  [3,7],
8168  [3,9],
8169  [4,5],
8170  [4,6],
8171  [4,10],
8172  [5,11],
8173  [6,8],
8174  [6,10],
8175  [7,8],
8176  [7,9],
8177  [8,10],
8178  [9,11],
8179  [10,11]
8180  ]
8181  ],
8182  [
8183  "johnson_biaugmented_triangular_prism",
8184  "Biaugmented Triangular Prism",
8185  "J50",
8186  "johnson",
8187  "Polyhedron Database #94",
8188  [
8189  [ 0.53205720493, 0.53205720493, 0.43963660619],
8190  [ 0.91766293548, 0.00000000000, -0.39735970712],
8191  [ 0.53205720493, -0.53205720493, 0.43963660619],
8192  [-0.00000000000, 0.53205720493, -0.48191350527],
8193  [-0.53205720493, 0.53205720493, 0.43963660619],
8194  [ 0.00000000000, -0.53205720493, -0.48191350527],
8195  [-0.53205720493, -0.53205720493, 0.43963660619],
8196  [-0.91766293548, 0.00000000000, -0.39735970712]
8197  ],
8198  [
8199  [0.87146433325, 45.00000000000, 59.70313904049],
8200  [1.00000000000, 0.00000000000, 113.41322444636],
8201  [0.87146433325, -45.00000000000, 59.70313904050],
8202  [0.71786175262, 90.00000000000, 132.16886918696],
8203  [0.87146433325, 135.00000000000, 59.70313904050],
8204  [0.71786175262, -89.99999999998, 132.16886918696],
8205  [0.87146433325, -135.00000000000, 59.70313904050],
8206  [1.00000000000, 179.99999999998, 113.41322444637]
8207  ],
8208  [
8209  [2,6,4,0],
8210  [1,0,3],
8211  [2,0,1],
8212  [5,2,1],
8213  [3,0,4],
8214  [5,6,2],
8215  [7,3,4],
8216  [6,7,4],
8217  [5,7,6],
8218  [5,3,7],
8219  [3,5,1]
8220  ],
8221  [
8222  [0,1],
8223  [0,2],
8224  [0,3],
8225  [0,4],
8226  [1,2],
8227  [1,3],
8228  [1,5],
8229  [2,5],
8230  [2,6],
8231  [3,4],
8232  [3,5],
8233  [3,7],
8234  [4,6],
8235  [4,7],
8236  [5,6],
8237  [5,7],
8238  [6,7]
8239  ]
8240  ],
8241  [
8242  "johnson_biaugmented_truncated_cube",
8243  "Biaugmented Truncated Cube",
8244  "J67",
8245  "johnson",
8246  "Polyhedron Database #111",
8247  [
8248  [-0.59153329257, -0.24502111238, 0.59153329257],
8249  [-0.24502111238, -0.59153329257, 0.59153329257],
8250  [-0.59153329257, 0.24502111238, 0.59153329257],
8251  [-0.93804547277, -0.00000000000, 0.34651218019],
8252  [ 0.24502111238, -0.59153329257, 0.59153329257],
8253  [-0.24502111238, 0.59153329257, 0.59153329257],
8254  [-0.59153329257, -0.59153329257, 0.24502111238],
8255  [ 0.59153329257, -0.24502111238, 0.59153329257],
8256  [ 0.24502111238, 0.59153329257, 0.59153329257],
8257  [-0.93804547277, -0.34651218019, 0.00000000000],
8258  [ 0.59153329257, 0.24502111238, 0.59153329257],
8259  [-0.59153329257, 0.59153329257, 0.24502111238],
8260  [-0.93804547277, 0.34651218019, 0.00000000000],
8261  [ 0.59153329257, -0.59153329257, 0.24502111238],
8262  [-0.59153329257, -0.59153329257, -0.24502111238],
8263  [ 0.93804547277, 0.00000000000, 0.34651218019],
8264  [-0.93804547277, 0.00000000000, -0.34651218019],
8265  [ 0.59153329257, 0.59153329257, 0.24502111238],
8266  [-0.59153329257, 0.59153329257, -0.24502111238],
8267  [ 0.93804547277, -0.34651218019, -0.00000000000],
8268  [ 0.59153329257, -0.59153329257, -0.24502111238],
8269  [-0.59153329257, -0.24502111238, -0.59153329257],
8270  [ 0.93804547277, 0.34651218019, -0.00000000000],
8271  [-0.24502111238, -0.59153329257, -0.59153329257],
8272  [-0.59153329257, 0.24502111238, -0.59153329257],
8273  [ 0.59153329257, 0.59153329257, -0.24502111238],
8274  [ 0.24502111238, -0.59153329257, -0.59153329257],
8275  [-0.24502111238, 0.59153329257, -0.59153329257],
8276  [ 0.93804547277, 0.00000000000, -0.34651218019],
8277  [ 0.59153329257, -0.24502111238, -0.59153329257],
8278  [ 0.24502111238, 0.59153329257, -0.59153329257],
8279  [ 0.59153329257, 0.24502111238, -0.59153329257]
8280  ],
8281  [
8282  [0.87169869677, -157.49999999998, 47.26579039909],
8283  [0.87169869677, -112.49999999999, 47.26579039910],
8284  [0.87169869677, 157.49999999999, 47.26579039909],
8285  [1.00000000000, -179.99999999998, 69.72586777264],
8286  [0.87169869677, -67.49999999998, 47.26579039910],
8287  [0.87169869677, 112.49999999999, 47.26579039909],
8288  [0.87169869677, -134.99999999999, 73.67505006310],
8289  [0.87169869677, -22.50000000000, 47.26579039911],
8290  [0.87169869677, 67.49999999999, 47.26579039909],
8291  [1.00000000000, -159.72586777263, 89.99999999999],
8292  [0.87169869677, 22.49999999999, 47.26579039910],
8293  [0.87169869677, 135.00000000000, 73.67505006309],
8294  [1.00000000000, 159.72586777264, 89.99999999998],
8295  [0.87169869677, -44.99999999999, 73.67505006310],
8296  [0.87169869677, -134.99999999999, 106.32494993689],
8297  [1.00000000000, 0.00000000000, 69.72586777265],
8298  [1.00000000000, 179.99999999999, 110.27413222734],
8299  [0.87169869677, 45.00000000000, 73.67505006310],
8300  [0.87169869677, 135.00000000000, 106.32494993688],
8301  [1.00000000000, -20.27413222735, 90.00000000001],
8302  [0.87169869677, -44.99999999999, 106.32494993690],
8303  [0.87169869677, -157.50000000000, 132.73420960089],
8304  [1.00000000000, 20.27413222736, 90.00000000000],
8305  [0.87169869677, -112.50000000000, 132.73420960089],
8306  [0.87169869677, 157.49999999999, 132.73420960088],
8307  [0.87169869677, 45.00000000000, 106.32494993689],
8308  [0.87169869677, -67.50000000000, 132.73420960090],
8309  [0.87169869677, 112.50000000001, 132.73420960089],
8310  [1.00000000000, 0.00000000001, 110.27413222735],
8311  [0.87169869677, -22.50000000000, 132.73420960090],
8312  [0.87169869677, 67.50000000000, 132.73420960089],
8313  [0.87169869677, 22.50000000001, 132.73420960090]
8314  ],
8315  [
8316  [19,15,22,28],
8317  [25,31,28,22],
8318  [17,25,22],
8319  [10,17,22,15],
8320  [7,10,15],
8321  [13,7,15,19],
8322  [20,13,19],
8323  [29,20,19,28],
8324  [31,29,28],
8325  [12,3,9,16],
8326  [14,21,16,9],
8327  [6,14,9],
8328  [0,6,9,3],
8329  [2,0,3],
8330  [11,2,3,12],
8331  [18,11,12],
8332  [24,18,12,16],
8333  [21,24,16],
8334  [20,26,23,14,6,1,4,13],
8335  [31,30,27,24,21,23,26,29],
8336  [17,8,5,11,18,27,30,25],
8337  [7,4,1,0,2,5,8,10],
8338  [13,4,7],
8339  [1,6,0],
8340  [10,8,17],
8341  [5,2,11],
8342  [25,30,31],
8343  [27,18,24],
8344  [29,26,20],
8345  [23,21,14]
8346  ],
8347  [
8348  [0,1],
8349  [0,2],
8350  [0,3],
8351  [0,6],
8352  [1,4],
8353  [1,6],
8354  [2,3],
8355  [2,5],
8356  [2,11],
8357  [3,9],
8358  [3,12],
8359  [4,7],
8360  [4,13],
8361  [5,8],
8362  [5,11],
8363  [6,9],
8364  [6,14],
8365  [7,10],
8366  [7,13],
8367  [7,15],
8368  [8,10],
8369  [8,17],
8370  [9,14],
8371  [9,16],
8372  [10,15],
8373  [10,17],
8374  [11,12],
8375  [11,18],
8376  [12,16],
8377  [12,18],
8378  [13,19],
8379  [13,20],
8380  [14,21],
8381  [14,23],
8382  [15,19],
8383  [15,22],
8384  [16,21],
8385  [16,24],
8386  [17,22],
8387  [17,25],
8388  [18,24],
8389  [18,27],
8390  [19,20],
8391  [19,28],
8392  [20,26],
8393  [20,29],
8394  [21,23],
8395  [21,24],
8396  [22,25],
8397  [22,28],
8398  [23,26],
8399  [24,27],
8400  [25,30],
8401  [25,31],
8402  [26,29],
8403  [27,30],
8404  [28,29],
8405  [28,31],
8406  [29,31],
8407  [30,31]
8408  ]
8409  ],
8410  [
8411  "johnson_bigyrate_diminished_rhombicosidodecahedron",
8412  "Bigyrate Diminished Rhombicosidodecahedron",
8413  "J79",
8414  "johnson",
8415  "Polyhedron Database #123",
8416  [
8417  [-0.55321297349, -0.72966120124, -0.40193275229],
8418  [-0.21130855286, -0.72966120124, -0.65034085439],
8419  [-0.68380884127, -0.72966120124, -0.00000000000],
8420  [ 0.21130855286, -0.72966120124, -0.65034085439],
8421  [-0.76452152635, -0.37016161864, -0.47059106309],
8422  [-0.21130855286, -0.37016161865, -0.87252381538],
8423  [-0.55321297349, -0.14797865766, -0.76143233488],
8424  [-0.89511739413, -0.37016161864, -0.06865831081],
8425  [ 0.21130855286, -0.37016161865, -0.87252381538],
8426  [-0.55321297349, -0.72966120124, 0.40193275229],
8427  [ 0.55321297349, -0.72966120124, -0.40193275229],
8428  [-0.80061733644, 0.05074782403, -0.48231930274],
8429  [-0.00000000000, -0.01066203605, -0.94118212618],
8430  [-0.21130855286, -0.72966120124, 0.65034085439],
8431  [ 0.68380884127, -0.72966120124, -0.00000000000],
8432  [-0.34190442064, 0.21152092494, -0.83009064569],
8433  [-0.93121320422, 0.05074782403, -0.08038655046],
8434  [-0.89511739413, -0.14797865766, 0.29084127179],
8435  [-0.68380884127, -0.37016161865, 0.58168254359],
8436  [ 0.55321297349, -0.14797865766, -0.76143233488],
8437  [ 0.76452152635, -0.37016161865, -0.47059106309],
8438  [ 0.21130855286, -0.72966120124, 0.65034085439],
8439  [ 0.55321297349, -0.72966120124, 0.40193275229],
8440  [-0.58930878359, 0.41024740662, -0.55097761355],
8441  [ 0.34190442064, 0.21152092494, -0.83009064569],
8442  [-0.34190442064, -0.37016161865, 0.83009064569],
8443  [ 0.89511739413, -0.37016161865, -0.06865831081],
8444  [-0.21130855286, 0.57102050754, -0.65034085439],
8445  [-0.80061733644, 0.41024740662, 0.09936324084],
8446  [ 0.80061733644, 0.05074782403, -0.48231930274],
8447  [-0.76452152635, 0.21152092494, 0.47059106309],
8448  [-0.55321297349, -0.01066203605, 0.76143233488],
8449  [ 0.34190442064, -0.37016161865, 0.83009064569],
8450  [ 0.68380884127, -0.37016161865, 0.58168254359],
8451  [-0.58930878359, 0.63243036761, -0.19147803095],
8452  [ 0.21130855286, 0.57102050754, -0.65034085439],
8453  [ 0.58930878359, 0.41024740662, -0.55097761355],
8454  [-0.00000000000, -0.14797865766, 0.94118212618],
8455  [ 0.89511739413, -0.14797865766, 0.29084127179],
8456  [ 0.93121320422, 0.05074782403, -0.08038655046],
8457  [-0.21130855286, 0.79320346853, -0.29084127179],
8458  [-0.55321297349, 0.57102050754, 0.40193275229],
8459  [-0.21130855286, 0.21152092494, 0.87252381538],
8460  [ 0.55321297349, -0.01066203605, 0.76143233488],
8461  [-0.34190442064, 0.79320346853, 0.11109148049],
8462  [ 0.21130855286, 0.79320346853, -0.29084127179],
8463  [ 0.58930878359, 0.63243036761, -0.19147803095],
8464  [ 0.21130855286, 0.21152092494, 0.87252381538],
8465  [ 0.76452152635, 0.21152092494, 0.47059106309],
8466  [ 0.80061733644, 0.41024740662, 0.09936324084],
8467  [-0.21130855286, 0.57102050754, 0.65034085439],
8468  [ 0.00000000000, 0.79320346853, 0.35949958260],
8469  [ 0.34190442064, 0.79320346853, 0.11109148049],
8470  [ 0.21130855286, 0.57102050754, 0.65034085439],
8471  [ 0.55321297349, 0.57102050754, 0.40193275229]
8472  ],
8473  [
8474  [1.00000000000, -127.16859907795, 113.69905988309],
8475  [1.00000000000, -106.15091992090, 130.56730576487],
8476  [1.00000000000, -133.14200112378, 89.99999999999],
8477  [1.00000000000, -73.84908007912, 130.56730576487],
8478  [0.97106577369, -154.16493060777, 118.98711799517],
8479  [0.97106577369, -119.72009459654, 153.96444613297],
8480  [0.95274418275, -165.02457730650, 143.05369410523],
8481  [0.97106577369, -157.53323421368, 94.05442815564],
8482  [0.97106577369, -60.27990540349, 153.96444613297],
8483  [1.00000000000, -127.16859907795, 66.30094011690],
8484  [1.00000000000, -52.83140092207, 113.69905988310],
8485  [0.93605308122, 176.37310948048, 121.01544898759],
8486  [0.94124251586, -90.00000000053, 179.35096139267],
8487  [1.00000000000, -106.15091992090, 49.43269423512],
8488  [1.00000000000, -46.85799887624, 90.00000000000],
8489  [0.92232869119, 148.25678032568, 154.15732953496],
8490  [0.93605308122, 176.88066834420, 94.92652648964],
8491  [0.95274418275, -170.61290105831, 72.22577748956],
8492  [0.97106577369, -151.57228676923, 53.20064626834],
8493  [0.95274418275, -14.97542269352, 143.05369410524],
8494  [0.97106577369, -25.83506939224, 118.98711799517],
8495  [1.00000000000, -73.84908007912, 49.43269423513],
8496  [1.00000000000, -52.83140092208, 66.30094011690],
8497  [0.90507685181, 145.15628752408, 127.50013851274],
8498  [0.92232869119, 31.74321967428, 154.15732953496],
8499  [0.97106577369, -132.72750132960, 31.25966748281],
8500  [0.97106577369, -22.46676578634, 94.05442815564],
8501  [0.89087538490, 110.30720654251, 136.88656564166],
8502  [0.90507685181, 152.86877004885, 83.69711765839],
8503  [0.93605308122, 3.62689051947, 121.01544898759],
8504  [0.92232869119, 164.53477767259, 59.32147762345],
8505  [0.94124251586, -178.89587902826, 36.00505936904],
8506  [0.97106577369, -47.27249867043, 31.25966748281],
8507  [0.97106577369, -28.42771323080, 53.20064626835],
8508  [0.88539078865, 132.97857048394, 102.48968584521],
8509  [0.89087538490, 69.69279345746, 136.88656564167],
8510  [0.90507685181, 34.84371247589, 127.50013851275],
8511  [0.95274418275, -89.99999999999, 8.93526016571],
8512  [0.95274418275, -9.38709894171, 72.22577748957],
8513  [0.93605308122, 3.11933165575, 94.92652648964],
8514  [0.87086835536, 104.91709431399, 109.50973258054],
8515  [0.89087538490, 134.09252726868, 63.18147713219],
8516  [0.92232869119, 134.97122238702, 18.91492540417],
8517  [0.94124251586, -1.10412097176, 36.00505936904],
8518  [0.87086835536, 113.31809665423, 82.67115026512],
8519  [0.87086835536, 75.08290568597, 109.50973258054],
8520  [0.88539078865, 47.02142951602, 102.48968584521],
8521  [0.92232869119, 45.02877761291, 18.91492540417],
8522  [0.92232869119, 15.46522232737, 59.32147762346],
8523  [0.90507685181, 27.13122995110, 83.69711765840],
8524  [0.89087538490, 110.30720654249, 43.11343435832],
8525  [0.87086835536, 89.99999999997, 65.61878155780],
8526  [0.87086835536, 66.68190334572, 82.67115026512],
8527  [0.89087538490, 69.69279345745, 43.11343435832],
8528  [0.89087538490, 45.90747273126, 63.18147713220]
8529  ],
8530  [
8531  [4,7,2,0],
8532  [16,17,7],
8533  [16,28,30,17],
8534  [7,17,18,9,2],
8535  [28,41,30],
8536  [34,44,41,28],
8537  [17,30,31,18],
8538  [31,25,18],
8539  [31,42,37,25],
8540  [30,41,50,42,31],
8541  [42,47,37],
8542  [50,53,47,42],
8543  [4,11,16,7],
8544  [6,11,4],
8545  [6,15,23,11],
8546  [11,23,34,28,16],
8547  [15,27,23],
8548  [35,45,40,27],
8549  [23,27,40,34],
8550  [40,44,34],
8551  [44,51,50,41],
8552  [40,45,52,51,44],
8553  [51,53,50],
8554  [52,54,53,51],
8555  [5,12,15,6],
8556  [8,12,5],
8557  [8,19,24,12],
8558  [12,24,35,27,15],
8559  [24,36,35],
8560  [19,29,36,24],
8561  [35,36,46,45],
8562  [46,52,45],
8563  [46,49,54,52],
8564  [36,29,39,49,46],
8565  [49,48,54],
8566  [39,38,48,49],
8567  [1,3,8,5],
8568  [0,2,9,13,21,22,14,10,3,1],
8569  [3,10,20,19,8],
8570  [10,14,26,20],
8571  [20,29,19],
8572  [20,26,39,29],
8573  [14,22,33,38,26],
8574  [26,38,39],
8575  [33,43,48,38],
8576  [18,25,13,9],
8577  [21,32,33,22],
8578  [13,25,37,32,21],
8579  [32,43,33],
8580  [37,47,43,32],
8581  [1,5,6,4,0],
8582  [47,53,54,48,43]
8583  ],
8584  [
8585  [0,1],
8586  [0,2],
8587  [0,4],
8588  [1,3],
8589  [1,5],
8590  [2,7],
8591  [2,9],
8592  [3,8],
8593  [3,10],
8594  [4,6],
8595  [4,7],
8596  [4,11],
8597  [5,6],
8598  [5,8],
8599  [5,12],
8600  [6,11],
8601  [6,15],
8602  [7,16],
8603  [7,17],
8604  [8,12],
8605  [8,19],
8606  [9,13],
8607  [9,18],
8608  [10,14],
8609  [10,20],
8610  [11,16],
8611  [11,23],
8612  [12,15],
8613  [12,24],
8614  [13,21],
8615  [13,25],
8616  [14,22],
8617  [14,26],
8618  [15,23],
8619  [15,27],
8620  [16,17],
8621  [16,28],
8622  [17,18],
8623  [17,30],
8624  [18,25],
8625  [18,31],
8626  [19,20],
8627  [19,24],
8628  [19,29],
8629  [20,26],
8630  [20,29],
8631  [21,22],
8632  [21,32],
8633  [22,33],
8634  [23,27],
8635  [23,34],
8636  [24,35],
8637  [24,36],
8638  [25,31],
8639  [25,37],
8640  [26,38],
8641  [26,39],
8642  [27,35],
8643  [27,40],
8644  [28,30],
8645  [28,34],
8646  [28,41],
8647  [29,36],
8648  [29,39],
8649  [30,31],
8650  [30,41],
8651  [31,42],
8652  [32,33],
8653  [32,37],
8654  [32,43],
8655  [33,38],
8656  [33,43],
8657  [34,40],
8658  [34,44],
8659  [35,36],
8660  [35,45],
8661  [36,46],
8662  [37,42],
8663  [37,47],
8664  [38,39],
8665  [38,48],
8666  [39,49],
8667  [40,44],
8668  [40,45],
8669  [41,44],
8670  [41,50],
8671  [42,47],
8672  [42,50],
8673  [43,47],
8674  [43,48],
8675  [44,51],
8676  [45,46],
8677  [45,52],
8678  [46,49],
8679  [46,52],
8680  [47,53],
8681  [48,49],
8682  [48,54],
8683  [49,54],
8684  [50,51],
8685  [50,53],
8686  [51,52],
8687  [51,53],
8688  [52,54],
8689  [53,54]
8690  ]
8691  ],
8692  [
8693  "johnson_bilunabirotunda",
8694  "Bilunabirotunda",
8695  "J91",
8696  "johnson",
8697  "Polyhedron Database #135",
8698  [
8699  [-0.35682086408, 0.57734949231, 0.35682213618],
8700  [-0.93417064306, 0.35682356646, 0.00000116931],
8701  [-0.35681953153, 0.57735068800, -0.35682057578],
8702  [ 0.35682043619, 0.57734996964, 0.35682142985],
8703  [ 0.00000000000, -0.00000066389, 0.57735009037],
8704  [-0.93417273185, -0.35682111354, 0.00000085109],
8705  [ 0.35682176874, 0.57734891250, -0.35682128211],
8706  [-0.35682213060, -0.57735066013, 0.35682255952],
8707  [ 0.93417028120, 0.35682356646, -0.00000151094],
8708  [-0.00000036186, -0.00000066389, -0.57735043200],
8709  [-0.35682291126, -0.57735066013, -0.35682212048],
8710  [ 0.35682254940, -0.57735066013, 0.35682177886],
8711  [ 0.93417236999, -0.35682111354, -0.00000119271],
8712  [ 0.35682176874, -0.57735066013, -0.35682290114]
8713  ],
8714  [
8715  [0.76679567172, 121.71742087282, 62.26765009896],
8716  [0.99999892397, 159.09472843326, 89.99993300336],
8717  [0.76679522580, 121.71727211655, 117.73223569281],
8718  [0.76679550333, 58.28263103836, 62.26770311112],
8719  [0.57735009037, -89.99999999999, 0.00006588373],
8720  [1.00000000000, -159.09490242769, 89.99995123630],
8721  [0.76679525871, 58.28248843089, 117.73229402714],
8722  [0.76679733738, -121.71745999299, 62.26767979378],
8723  [0.99999858593, 20.90527896486, 90.00008657035],
8724  [0.57735043200, -118.59337848677, 179.99992496492],
8725  [0.76679749635, -121.71751605242, 117.73227689872],
8726  [0.76679716899, -58.28250993304, 62.26773908073],
8727  [0.99999966196, -20.90510497038, 90.00006833738],
8728  [0.76679732796, -58.28256599250, 117.73234941542]
8729  ],
8730  [
8731  [10,7,11,13],
8732  [12,13,11],
8733  [4,11,7],
8734  [5,7,10],
8735  [9,10,13],
8736  [8,6,9,13,12],
8737  [4,3,8,12,11],
8738  [1,0,4,7,5],
8739  [9,2,1,5,10],
8740  [6,8,3],
8741  [0,3,4],
8742  [0,1,2],
8743  [6,2,9],
8744  [3,0,2,6]
8745  ],
8746  [
8747  [0,1],
8748  [0,2],
8749  [0,3],
8750  [0,4],
8751  [1,2],
8752  [1,5],
8753  [2,6],
8754  [2,9],
8755  [3,4],
8756  [3,6],
8757  [3,8],
8758  [4,7],
8759  [4,11],
8760  [5,7],
8761  [5,10],
8762  [6,8],
8763  [6,9],
8764  [7,10],
8765  [7,11],
8766  [8,12],
8767  [9,10],
8768  [9,13],
8769  [10,13],
8770  [11,12],
8771  [11,13],
8772  [12,13]
8773  ]
8774  ],
8775  [
8776  "johnson_diminished_rhombicosidodecahedron",
8777  "Diminished Rhombicosidodecahedron",
8778  "J76",
8779  "johnson",
8780  "Polyhedron Database #120",
8781  [
8782  [-0.00000000000, -0.01066203605, -0.94118212618],
8783  [ 0.34190442064, 0.21152092494, -0.83009064569],
8784  [-0.34190442064, 0.21152092494, -0.83009064569],
8785  [ 0.21130855286, -0.37016161865, -0.87252381538],
8786  [ 0.21130855286, 0.57102050754, -0.65034085439],
8787  [-0.21130855286, -0.37016161865, -0.87252381538],
8788  [ 0.55321297349, -0.14797865766, -0.76143233488],
8789  [-0.21130855286, 0.57102050754, -0.65034085439],
8790  [-0.55321297349, -0.14797865766, -0.76143233488],
8791  [ 0.68380884127, 0.21152092494, -0.58168254359],
8792  [-0.68380884127, 0.21152092494, -0.58168254359],
8793  [ 0.55321297349, 0.57102050754, -0.40193275229],
8794  [ 0.21130855286, -0.72966120124, -0.65034085439],
8795  [-0.55321297349, 0.57102050754, -0.40193275229],
8796  [-0.21130855286, -0.72966120124, -0.65034085439],
8797  [ 0.21130855286, 0.79320346853, -0.29084127179],
8798  [-0.21130855286, 0.79320346853, -0.29084127179],
8799  [ 0.76452152635, -0.37016161865, -0.47059106309],
8800  [ 0.89511739413, -0.01066203605, -0.29084127179],
8801  [-0.76452152635, -0.37016161865, -0.47059106309],
8802  [ 0.55321297349, -0.72966120124, -0.40193275229],
8803  [-0.89511739413, -0.01066203605, -0.29084127179],
8804  [-0.55321297349, -0.72966120124, -0.40193275229],
8805  [ 0.68380884127, 0.57102050754, -0.00000000000],
8806  [ 0.34190442064, 0.79320346853, 0.11109148049],
8807  [-0.68380884127, 0.57102050754, -0.00000000000],
8808  [ 0.89511739413, -0.37016161865, -0.06865831081],
8809  [-0.34190442064, 0.79320346853, 0.11109148049],
8810  [ 0.89511739413, 0.21152092494, 0.06865831081],
8811  [-0.89511739413, -0.37016161865, -0.06865831081],
8812  [-0.89511739413, 0.21152092494, 0.06865831081],
8813  [ 0.68380884127, -0.72966120124, 0.00000000000],
8814  [ 0.00000000000, 0.79320346853, 0.35949958260],
8815  [-0.68380884127, -0.72966120124, 0.00000000000],
8816  [ 0.55321297349, 0.57102050754, 0.40193275229],
8817  [ 0.89511739413, -0.14797865766, 0.29084127179],
8818  [-0.55321297349, 0.57102050754, 0.40193275229],
8819  [ 0.76452152635, 0.21152092494, 0.47059106309],
8820  [-0.89511739413, -0.14797865766, 0.29084127179],
8821  [-0.76452152635, 0.21152092494, 0.47059106309],
8822  [ 0.21130855286, 0.57102050754, 0.65034085439],
8823  [ 0.55321297349, -0.72966120124, 0.40193275229],
8824  [-0.21130855286, 0.57102050754, 0.65034085439],
8825  [-0.55321297349, -0.72966120124, 0.40193275229],
8826  [ 0.68380884127, -0.37016161865, 0.58168254359],
8827  [-0.68380884127, -0.37016161864, 0.58168254359],
8828  [ 0.55321297349, -0.01066203605, 0.76143233488],
8829  [ 0.21130855286, -0.72966120124, 0.65034085439],
8830  [-0.55321297349, -0.01066203605, 0.76143233488],
8831  [ 0.21130855286, 0.21152092494, 0.87252381538],
8832  [-0.21130855286, -0.72966120124, 0.65034085439],
8833  [-0.21130855286, 0.21152092494, 0.87252381538],
8834  [ 0.34190442064, -0.37016161865, 0.83009064569],
8835  [-0.34190442064, -0.37016161865, 0.83009064569],
8836  [-0.00000000000, -0.14797865766, 0.94118212618]
8837  ],
8838  [
8839  [0.94124251586, -89.99999999999, 179.35096139266],
8840  [0.92232869119, 31.74321967425, 154.15732953497],
8841  [0.92232869119, 148.25678032569, 154.15732953498],
8842  [0.97106577369, -60.27990540348, 153.96444613297],
8843  [0.89087538490, 69.69279345744, 136.88656564167],
8844  [0.97106577369, -119.72009459652, 153.96444613297],
8845  [0.95274418275, -14.97542269353, 143.05369410523],
8846  [0.89087538490, 110.30720654250, 136.88656564167],
8847  [0.95274418275, -165.02457730649, 143.05369410524],
8848  [0.92232869119, 17.18827980458, 129.09937175185],
8849  [0.92232869119, 162.81172019538, 129.09937175186],
8850  [0.89087538490, 45.90747273127, 116.81852286779],
8851  [1.00000000000, -73.84908007911, 130.56730576486],
8852  [0.89087538490, 134.09252726868, 116.81852286780],
8853  [1.00000000000, -106.15091992089, 130.56730576486],
8854  [0.87086835536, 75.08290568597, 109.50973258055],
8855  [0.87086835536, 104.91709431399, 109.50973258056],
8856  [0.97106577369, -25.83506939225, 118.98711799516],
8857  [0.94124251586, -0.68243649609, 107.99880557643],
8858  [0.97106577369, -154.16493060776, 118.98711799517],
8859  [1.00000000000, -52.83140092207, 113.69905988308],
8860  [0.94124251586, -179.31756350393, 107.99880557645],
8861  [1.00000000000, -127.16859907795, 113.69905988309],
8862  [0.89087538490, 39.86386227369, 90.00000000000],
8863  [0.87086835536, 66.68190334573, 82.67115026513],
8864  [0.89087538490, 140.13613772627, 90.00000000001],
8865  [0.97106577369, -22.46676578634, 94.05442815563],
8866  [0.87086835536, 113.31809665424, 82.67115026513],
8867  [0.92232869119, 13.29540111333, 85.73094312148],
8868  [0.97106577369, -157.53323421367, 94.05442815564],
8869  [0.92232869119, 166.70459888663, 85.73094312148],
8870  [1.00000000000, -46.85799887624, 89.99999999998],
8871  [0.87086835536, 89.99999999998, 65.61878155780],
8872  [1.00000000000, -133.14200112378, 89.99999999999],
8873  [0.89087538490, 45.90747273128, 63.18147713220],
8874  [0.95274418275, -9.38709894171, 72.22577748956],
8875  [0.89087538490, 134.09252726869, 63.18147713220],
8876  [0.92232869119, 15.46522232737, 59.32147762345],
8877  [0.95274418275, -170.61290105831, 72.22577748956],
8878  [0.92232869119, 164.53477767258, 59.32147762346],
8879  [0.89087538490, 69.69279345747, 43.11343435832],
8880  [1.00000000000, -52.83140092207, 66.30094011689],
8881  [0.89087538490, 110.30720654251, 43.11343435833],
8882  [1.00000000000, -127.16859907795, 66.30094011689],
8883  [0.97106577369, -28.42771323078, 53.20064626834],
8884  [0.97106577369, -151.57228676924, 53.20064626835],
8885  [0.94124251586, -1.10412097174, 36.00505936904],
8886  [1.00000000000, -73.84908007912, 49.43269423512],
8887  [0.94124251586, -178.89587902827, 36.00505936904],
8888  [0.92232869119, 45.02877761295, 18.91492540417],
8889  [1.00000000000, -106.15091992091, 49.43269423512],
8890  [0.92232869119, 134.97122238703, 18.91492540417],
8891  [0.97106577369, -47.27249867041, 31.25966748280],
8892  [0.97106577369, -132.72750132962, 31.25966748281],
8893  [0.95274418275, -90.00000000003, 8.93526016570]
8894  ],
8895  [
8896  [26,17,20,31],
8897  [18,17,26],
8898  [18,9,6,17],
8899  [17,6,3,12,20],
8900  [9,1,6],
8901  [11,4,1,9],
8902  [6,1,0,3],
8903  [0,5,3],
8904  [0,2,8,5],
8905  [1,4,7,2,0],
8906  [2,10,8],
8907  [7,13,10,2],
8908  [35,28,18,26],
8909  [37,28,35],
8910  [37,34,23,28],
8911  [28,23,11,9,18],
8912  [34,24,23],
8913  [40,32,24,34],
8914  [23,24,15,11],
8915  [15,4,11],
8916  [15,16,7,4],
8917  [24,32,27,16,15],
8918  [16,13,7],
8919  [27,25,13,16],
8920  [44,46,37,35],
8921  [52,46,44],
8922  [52,54,49,46],
8923  [46,49,40,34,37],
8924  [54,51,49],
8925  [53,48,51,54],
8926  [49,51,42,40],
8927  [42,32,40],
8928  [42,36,27,32],
8929  [51,48,39,36,42],
8930  [36,25,27],
8931  [39,30,25,36],
8932  [41,47,52,44],
8933  [31,20,12,14,22,33,43,50,47,41],
8934  [47,50,53,54,52],
8935  [50,43,45,53],
8936  [45,48,53],
8937  [45,38,39,48],
8938  [43,33,29,38,45],
8939  [38,30,39],
8940  [29,21,30,38],
8941  [3,5,14,12],
8942  [22,19,29,33],
8943  [14,5,8,19,22],
8944  [19,21,29],
8945  [8,10,21,19],
8946  [41,44,35,26,31],
8947  [10,13,25,30,21]
8948  ],
8949  [
8950  [0,1],
8951  [0,2],
8952  [0,3],
8953  [0,5],
8954  [1,4],
8955  [1,6],
8956  [1,9],
8957  [2,7],
8958  [2,8],
8959  [2,10],
8960  [3,5],
8961  [3,6],
8962  [3,12],
8963  [4,7],
8964  [4,11],
8965  [4,15],
8966  [5,8],
8967  [5,14],
8968  [6,9],
8969  [6,17],
8970  [7,13],
8971  [7,16],
8972  [8,10],
8973  [8,19],
8974  [9,11],
8975  [9,18],
8976  [10,13],
8977  [10,21],
8978  [11,15],
8979  [11,23],
8980  [12,14],
8981  [12,20],
8982  [13,16],
8983  [13,25],
8984  [14,22],
8985  [15,16],
8986  [15,24],
8987  [16,27],
8988  [17,18],
8989  [17,20],
8990  [17,26],
8991  [18,26],
8992  [18,28],
8993  [19,21],
8994  [19,22],
8995  [19,29],
8996  [20,31],
8997  [21,29],
8998  [21,30],
8999  [22,33],
9000  [23,24],
9001  [23,28],
9002  [23,34],
9003  [24,32],
9004  [24,34],
9005  [25,27],
9006  [25,30],
9007  [25,36],
9008  [26,31],
9009  [26,35],
9010  [27,32],
9011  [27,36],
9012  [28,35],
9013  [28,37],
9014  [29,33],
9015  [29,38],
9016  [30,38],
9017  [30,39],
9018  [31,41],
9019  [32,40],
9020  [32,42],
9021  [33,43],
9022  [34,37],
9023  [34,40],
9024  [35,37],
9025  [35,44],
9026  [36,39],
9027  [36,42],
9028  [37,46],
9029  [38,39],
9030  [38,45],
9031  [39,48],
9032  [40,42],
9033  [40,49],
9034  [41,44],
9035  [41,47],
9036  [42,51],
9037  [43,45],
9038  [43,50],
9039  [44,46],
9040  [44,52],
9041  [45,48],
9042  [45,53],
9043  [46,49],
9044  [46,52],
9045  [47,50],
9046  [47,52],
9047  [48,51],
9048  [48,53],
9049  [49,51],
9050  [49,54],
9051  [50,53],
9052  [51,54],
9053  [52,54],
9054  [53,54]
9055  ]
9056  ],
9057  [
9058  "johnson_disphenocingulum",
9059  "Disphenocingulum",
9060  "J90",
9061  "johnson",
9062  "Polyhedron Database #134",
9063  [
9064  [ 0.00000000000, -0.91099133441, -0.41242344695],
9065  [-0.00000026941, -0.26807547450, -0.92917444640],
9066  [-0.63276566284, -0.38185995726, -0.41242285227],
9067  [-0.00000000000, -0.91099226144, 0.41242344695],
9068  [ 0.63276548747, -0.38185974754, -0.41242285227],
9069  [-0.63276566284, -0.38186088429, 0.41242404163],
9070  [-0.41242406575, 0.38186068828, -0.63276369390],
9071  [-0.92917618537, 0.26807755920, 0.00000096470],
9072  [ 0.63276548747, -0.38186067457, 0.41242404163],
9073  [ 0.41242213988, 0.38186051513, -0.63276470534],
9074  [ 0.00000005633, -0.26807756307, 0.92917589152],
9075  [ 0.92917573249, 0.26807647101, -0.00000055446],
9076  [-0.41242245950, 0.38186097642, 0.63276511948],
9077  [-0.41242261897, 0.91099145800, -0.00000168831],
9078  [ 0.41242374613, 0.38186018357, 0.63276410804],
9079  [ 0.41242427492, 0.91099004546, -0.00000337405]
9080  ],
9081  [
9082  [0.99999915548, -89.99999999999, 114.35718504061],
9083  [0.96707270248, -90.00005758053, 163.90665705704],
9084  [0.84634627671, -148.88995597866, 119.16314147038],
9085  [1.00000000000, -89.99999999999, 65.64283686524],
9086  [0.84634605097, -31.11003712587, 119.16314999824],
9087  [0.84634727455, -148.88989444680, 60.83680402029],
9088  [0.84634572580, 137.20360395663, 138.38653985796],
9089  [0.96707495118, 163.90656694593, 89.99994284506],
9090  [0.84634704881, -31.11009865775, 60.83679549241],
9091  [0.84634546540, 42.79651647173, 138.38666280992],
9092  [0.96707466992, -89.99998796164, 16.09343810026],
9093  [0.96707421440, 16.09337854721, 90.00003285006],
9094  [0.84634613891, 137.20347115975, 41.61334630397],
9095  [0.99999892660, 114.35713890324, 90.00009673303],
9096  [0.84634565196, 42.79638042682, 41.61341229735],
9097  [0.99999832274, 65.64274128447, 90.00019331888]
9098  ],
9099  [
9100  [7,6,13],
9101  [15,13,6,9],
9102  [11,15,9],
9103  [7,13,12],
9104  [14,12,13,15],
9105  [11,14,15],
9106  [14,10,12],
9107  [5,7,12],
9108  [10,5,12],
9109  [3,5,10],
9110  [3,0,2,5],
9111  [2,6,7],
9112  [2,7,5],
9113  [1,6,2],
9114  [0,1,2],
9115  [8,4,0,3],
9116  [8,3,10],
9117  [14,8,10],
9118  [14,11,8],
9119  [11,4,8],
9120  [9,4,11],
9121  [6,1,9],
9122  [9,1,4],
9123  [4,1,0]
9124  ],
9125  [
9126  [0,1],
9127  [0,2],
9128  [0,3],
9129  [0,4],
9130  [1,2],
9131  [1,4],
9132  [1,6],
9133  [1,9],
9134  [2,5],
9135  [2,6],
9136  [2,7],
9137  [3,5],
9138  [3,8],
9139  [3,10],
9140  [4,8],
9141  [4,9],
9142  [4,11],
9143  [5,7],
9144  [5,10],
9145  [5,12],
9146  [6,7],
9147  [6,9],
9148  [6,13],
9149  [7,12],
9150  [7,13],
9151  [8,10],
9152  [8,11],
9153  [8,14],
9154  [9,11],
9155  [9,15],
9156  [10,12],
9157  [10,14],
9158  [11,14],
9159  [11,15],
9160  [12,13],
9161  [12,14],
9162  [13,15],
9163  [14,15]
9164  ]
9165  ],
9166  [
9167  "johnson_elongated_pentagonal_cupola",
9168  "Elongated Pentagonal Cupola",
9169  "J20",
9170  "johnson",
9171  "Polyhedron Database #64",
9172  [
9173  [-0.28328429192, 0.16705488720, -0.87185940159],
9174  [-0.74164790473, 0.16705488720, -0.53883874359],
9175  [ 0.28328429192, 0.16705488720, -0.87185940159],
9176  [-0.28328429192, 0.46491761888, -0.38990737776],
9177  [-0.28328429192, -0.39951369664, -0.87185940159],
9178  [-0.74164790473, -0.39951369664, -0.53883874360],
9179  [ 0.28328429192, 0.46491761888, -0.38990737776],
9180  [-0.91672722562, 0.16705488720, 0.00000000000],
9181  [ 0.28328429192, -0.39951369664, -0.87185940159],
9182  [-0.45836361281, 0.46491761888, 0.14893136584],
9183  [ 0.74164790473, 0.16705488720, -0.53883874359],
9184  [-0.91672722562, -0.39951369664, -0.00000000000],
9185  [ 0.45836361281, 0.46491761888, 0.14893136584],
9186  [-0.74164790473, 0.16705488720, 0.53883874359],
9187  [ 0.74164790473, -0.39951369664, -0.53883874359],
9188  [ 0.00000000000, 0.46491761888, 0.48195202384],
9189  [ 0.91672722562, 0.16705488720, 0.00000000000],
9190  [-0.74164790473, -0.39951369664, 0.53883874359],
9191  [-0.28328429192, 0.16705488720, 0.87185940159],
9192  [ 0.91672722562, -0.39951369664, -0.00000000000],
9193  [ 0.74164790473, 0.16705488720, 0.53883874359],
9194  [ 0.28328429192, 0.16705488720, 0.87185940159],
9195  [-0.28328429192, -0.39951369664, 0.87185940159],
9196  [ 0.74164790473, -0.39951369664, 0.53883874359],
9197  [ 0.28328429192, -0.39951369664, 0.87185940159]
9198  ],
9199  [
9200  [0.93182409366, 149.47182597893, 159.33309630884],
9201  [0.93182409366, 167.30607932837, 125.32841466616],
9202  [0.93182409366, 30.52817402105, 159.33309630884],
9203  [0.66964628396, 121.35484908292, 125.60956519624],
9204  [1.00000000000, -125.33941614972, 150.67543818218],
9205  [1.00000000000, -151.68937377151, 122.60462203056],
9206  [0.66964628396, 58.64515091705, 125.60956519625],
9207  [0.93182409366, 169.67233386045, 89.99999999999],
9208  [1.00000000000, -54.66058385029, 150.67543818217],
9209  [0.66964628396, 134.59328689184, 77.14978588814],
9210  [0.93182409366, 12.69392067161, 125.32841466616],
9211  [1.00000000000, -156.45221917111, 90.00000000000],
9212  [0.66964628396, 45.40671310815, 77.14978588814],
9213  [0.93182409366, 167.30607932839, 54.67158533383],
9214  [1.00000000000, -28.31062622849, 122.60462203056],
9215  [0.66964628396, 89.99999999999, 43.96934678934],
9216  [0.93182409366, 10.32766613953, 89.99999999999],
9217  [1.00000000000, -151.68937377150, 57.39537796944],
9218  [0.93182409366, 149.47182597897, 20.66690369115],
9219  [1.00000000000, -23.54778082888, 90.00000000000],
9220  [0.93182409366, 12.69392067159, 54.67158533382],
9221  [0.93182409366, 30.52817402101, 20.66690369114],
9222  [1.00000000000, -125.33941614971, 29.32456181783],
9223  [1.00000000000, -28.31062622849, 57.39537796944],
9224  [1.00000000000, -54.66058385030, 29.32456181783]
9225  ],
9226  [
9227  [24,23,19,14,8,4,5,11,17,22],
9228  [0,4,8,2],
9229  [1,5,4,0],
9230  [7,11,5,1],
9231  [13,17,11,7],
9232  [18,22,17,13],
9233  [21,24,22,18],
9234  [20,23,24,21],
9235  [16,19,23,20],
9236  [10,14,19,16],
9237  [2,8,14,10],
9238  [3,6,12,15,9],
9239  [18,13,9,15],
9240  [21,18,15],
9241  [20,21,15,12],
9242  [16,20,12],
9243  [10,16,12,6],
9244  [2,10,6],
9245  [0,2,6,3],
9246  [1,0,3],
9247  [7,1,3,9],
9248  [13,7,9]
9249  ],
9250  [
9251  [0,1],
9252  [0,2],
9253  [0,3],
9254  [0,4],
9255  [1,3],
9256  [1,5],
9257  [1,7],
9258  [2,6],
9259  [2,8],
9260  [2,10],
9261  [3,6],
9262  [3,9],
9263  [4,5],
9264  [4,8],
9265  [5,11],
9266  [6,10],
9267  [6,12],
9268  [7,9],
9269  [7,11],
9270  [7,13],
9271  [8,14],
9272  [9,13],
9273  [9,15],
9274  [10,14],
9275  [10,16],
9276  [11,17],
9277  [12,15],
9278  [12,16],
9279  [12,20],
9280  [13,17],
9281  [13,18],
9282  [14,19],
9283  [15,18],
9284  [15,21],
9285  [16,19],
9286  [16,20],
9287  [17,22],
9288  [18,21],
9289  [18,22],
9290  [19,23],
9291  [20,21],
9292  [20,23],
9293  [21,24],
9294  [22,24],
9295  [23,24]
9296  ]
9297  ],
9298  [
9299  "johnson_elongated_pentagonal_dipyramid",
9300  "Elongated Pentagonal Dipyramid",
9301  "J16",
9302  "johnson",
9303  "Polyhedron Database #60",
9304  [
9305  [-0.78872229263, 0.48745718453, -0.25627140773],
9306  [-0.48745718453, 0.48745718453, 0.67092725579],
9307  [-0.78872229263, -0.48745718453, -0.25627140773],
9308  [ 0.00000000000, 1.00000000000, 0.00000000000],
9309  [-0.48745718453, -0.48745718453, 0.67092725579],
9310  [-0.00000000000, 0.48745718453, -0.82931169612],
9311  [ 0.00000000000, -0.48745718453, -0.82931169612],
9312  [ 0.48745718453, 0.48745718453, 0.67092725579],
9313  [-0.00000000000, -1.00000000000, 0.00000000000],
9314  [ 0.78872229263, 0.48745718453, -0.25627140773],
9315  [ 0.48745718453, -0.48745718453, 0.67092725579],
9316  [ 0.78872229263, -0.48745718453, -0.25627140773]
9317  ],
9318  [
9319  [0.96196278310, 148.28252558853, 105.45043708632],
9320  [0.96196278310, 135.00000000000, 45.77670183608],
9321  [0.96196278310, -148.28252558853, 105.45043708632],
9322  [1.00000000000, 89.99999999999, 89.99999999999],
9323  [0.96196278310, -134.99999999999, 45.77670183608],
9324  [0.96196278310, 89.99999999999, 149.55361568292],
9325  [0.96196278310, -89.99999999999, 149.55361568292],
9326  [0.96196278310, 45.00000000000, 45.77670183608],
9327  [1.00000000000, -89.99999999999, 89.99999999999],
9328  [0.96196278310, 31.71747441146, 105.45043708632],
9329  [0.96196278310, -44.99999999999, 45.77670183608],
9330  [0.96196278310, -31.71747441146, 105.45043708632]
9331  ],
9332  [
9333  [7,9,11,10],
9334  [8,10,11],
9335  [3,9,7],
9336  [9,5,6,11],
9337  [8,11,6],
9338  [3,5,9],
9339  [5,0,2,6],
9340  [8,6,2],
9341  [3,0,5],
9342  [0,1,4,2],
9343  [8,2,4],
9344  [3,1,0],
9345  [1,7,10,4],
9346  [8,4,10],
9347  [3,7,1]
9348  ],
9349  [
9350  [0,1],
9351  [0,2],
9352  [0,3],
9353  [0,5],
9354  [1,3],
9355  [1,4],
9356  [1,7],
9357  [2,4],
9358  [2,6],
9359  [2,8],
9360  [3,5],
9361  [3,7],
9362  [3,9],
9363  [4,8],
9364  [4,10],
9365  [5,6],
9366  [5,9],
9367  [6,8],
9368  [6,11],
9369  [7,9],
9370  [7,10],
9371  [8,10],
9372  [8,11],
9373  [9,11],
9374  [10,11]
9375  ]
9376  ],
9377  [
9378  "johnson_elongated_pentagonal_gyrobicupola",
9379  "Elongated Pentagonal Gyrobicupola",
9380  "J39",
9381  "johnson",
9382  "Polyhedron Database #83",
9383  [
9384  [ 0.95542256322, -0.29524180884, 0.00000000000],
9385  [ 0.95542256322, 0.29524180884, 0.00000000000],
9386  [ 0.77295309045, -0.29524180884, -0.56158329237],
9387  [ 0.77295309045, 0.29524180884, -0.56158329237],
9388  [ 0.77295309045, -0.29524180884, 0.56158329237],
9389  [ 0.77295309045, 0.29524180884, 0.56158329237],
9390  [ 0.47771128161, -0.60567741786, -0.15521780451],
9391  [ 0.29524180884, -0.29524180884, -0.90866085457],
9392  [ 0.29524180884, 0.29524180884, -0.90866085457],
9393  [ 0.47771128161, 0.60567741786, 0.15521780451],
9394  [ 0.29524180884, 0.60567741786, -0.40636548786],
9395  [ 0.29524180884, -0.60567741786, 0.40636548786],
9396  [ 0.00000000000, -0.60567741786, -0.50229536671],
9397  [ 0.29524180884, -0.29524180884, 0.90866085457],
9398  [ 0.29524180884, 0.29524180884, 0.90866085457],
9399  [-0.29524180884, -0.29524180884, -0.90866085457],
9400  [-0.29524180884, 0.29524180884, -0.90866085457],
9401  [-0.00000000000, 0.60567741786, 0.50229536671],
9402  [-0.29524180884, 0.60567741786, -0.40636548786],
9403  [-0.29524180884, -0.60567741786, 0.40636548786],
9404  [-0.47771128161, -0.60567741786, -0.15521780451],
9405  [-0.29524180884, -0.29524180884, 0.90866085457],
9406  [-0.29524180884, 0.29524180884, 0.90866085457],
9407  [-0.47771128161, 0.60567741786, 0.15521780451],
9408  [-0.77295309045, -0.29524180884, -0.56158329237],
9409  [-0.77295309045, 0.29524180884, -0.56158329237],
9410  [-0.77295309045, -0.29524180884, 0.56158329237],
9411  [-0.77295309045, 0.29524180884, 0.56158329237],
9412  [-0.95542256322, -0.29524180884, -0.00000000000],
9413  [-0.95542256322, 0.29524180884, -0.00000000000]
9414  ],
9415  [
9416  [1.00000000000, -17.17203785052, 89.99999999999],
9417  [1.00000000000, 17.17203785052, 89.99999999999],
9418  [1.00000000000, -20.90515744788, 124.16536382817],
9419  [1.00000000000, 20.90515744789, 124.16536382816],
9420  [1.00000000000, -20.90515744789, 55.83463617183],
9421  [1.00000000000, 20.90515744789, 55.83463617182],
9422  [0.78685816379, -51.73636802935, 101.37693750355],
9423  [1.00000000000, -44.99999999999, 155.32094261067],
9424  [1.00000000000, 45.00000000000, 155.32094261066],
9425  [0.78685816379, 51.73636802935, 78.62306249645],
9426  [0.78685816379, 64.01274853923, 121.09379417367],
9427  [0.78685816379, -64.01274853925, 58.90620582632],
9428  [0.78685816379, -89.99999999999, 129.66931460377],
9429  [1.00000000000, -45.00000000000, 24.67905738933],
9430  [1.00000000000, 44.99999999998, 24.67905738932],
9431  [1.00000000000, -135.00000000001, 155.32094261067],
9432  [1.00000000000, 134.99999999999, 155.32094261066],
9433  [0.78685816379, 89.99999999999, 50.33068539622],
9434  [0.78685816379, 115.98725146074, 121.09379417367],
9435  [0.78685816379, -115.98725146076, 58.90620582632],
9436  [0.78685816379, -128.26363197064, 101.37693750354],
9437  [1.00000000000, -134.99999999999, 24.67905738933],
9438  [1.00000000000, 135.00000000000, 24.67905738931],
9439  [0.78685816379, 128.26363197064, 78.62306249644],
9440  [1.00000000000, -159.09484255210, 124.16536382817],
9441  [1.00000000000, 159.09484255210, 124.16536382816],
9442  [1.00000000000, -159.09484255209, 55.83463617183],
9443  [1.00000000000, 159.09484255211, 55.83463617182],
9444  [1.00000000000, -162.82796214947, 89.99999999999],
9445  [1.00000000000, 162.82796214947, 89.99999999999]
9446  ],
9447  [
9448  [12,20,19,11,6],
9449  [4,0,6,11],
9450  [13,4,11],
9451  [21,13,11,19],
9452  [26,21,19],
9453  [28,26,19,20],
9454  [24,28,20],
9455  [15,24,20,12],
9456  [7,15,12],
9457  [2,7,12,6],
9458  [0,2,6],
9459  [23,18,10,9,17],
9460  [5,14,17,9],
9461  [1,5,9],
9462  [3,1,9,10],
9463  [8,3,10],
9464  [16,8,10,18],
9465  [25,16,18],
9466  [29,25,18,23],
9467  [27,29,23],
9468  [22,27,23,17],
9469  [14,22,17],
9470  [15,16,25,24],
9471  [7,8,16,15],
9472  [2,3,8,7],
9473  [0,1,3,2],
9474  [4,5,1,0],
9475  [13,14,5,4],
9476  [21,22,14,13],
9477  [26,27,22,21],
9478  [28,29,27,26],
9479  [24,25,29,28]
9480  ],
9481  [
9482  [0,1],
9483  [0,2],
9484  [0,4],
9485  [0,6],
9486  [1,3],
9487  [1,5],
9488  [1,9],
9489  [2,3],
9490  [2,6],
9491  [2,7],
9492  [3,8],
9493  [3,10],
9494  [4,5],
9495  [4,11],
9496  [4,13],
9497  [5,9],
9498  [5,14],
9499  [6,11],
9500  [6,12],
9501  [7,8],
9502  [7,12],
9503  [7,15],
9504  [8,10],
9505  [8,16],
9506  [9,10],
9507  [9,17],
9508  [10,18],
9509  [11,13],
9510  [11,19],
9511  [12,15],
9512  [12,20],
9513  [13,14],
9514  [13,21],
9515  [14,17],
9516  [14,22],
9517  [15,16],
9518  [15,24],
9519  [16,18],
9520  [16,25],
9521  [17,22],
9522  [17,23],
9523  [18,23],
9524  [18,25],
9525  [19,20],
9526  [19,21],
9527  [19,26],
9528  [20,24],
9529  [20,28],
9530  [21,22],
9531  [21,26],
9532  [22,27],
9533  [23,27],
9534  [23,29],
9535  [24,25],
9536  [24,28],
9537  [25,29],
9538  [26,27],
9539  [26,28],
9540  [27,29],
9541  [28,29]
9542  ]
9543  ],
9544  [
9545  "johnson_elongated_pentagonal_gyrobirotunda",
9546  "Elongated Pentagonal Gyrobirotunda",
9547  "J43",
9548  "johnson",
9549  "Polyhedron Database #87",
9550  [
9551  [-0.00000000000, -0.91077745739, 0.41289759398],
9552  [-0.39268894732, -0.91077745739, 0.12759237348],
9553  [-0.39268894732, -0.65559271043, 0.54048996746],
9554  [ 0.39268894732, -0.91077745739, 0.12759237348],
9555  [ 0.39268894732, -0.65559271043, 0.54048996746],
9556  [-0.24269511645, -0.91077745739, -0.33404117047],
9557  [ 0.24269511645, -0.91077745739, -0.33404117047],
9558  [-0.24269511645, -0.24269511645, 0.74693876445],
9559  [-0.63538406377, -0.65559271043, -0.20644879699],
9560  [ 0.24269511645, -0.24269511645, 0.74693876445],
9561  [-0.63538406377, -0.24269511645, 0.46163354395],
9562  [ 0.63538406377, -0.65559271043, -0.20644879699],
9563  [ 0.63538406377, -0.24269511645, 0.46163354395],
9564  [-0.78537789464, -0.24269511645, -0.00000000000],
9565  [ 0.00000000000, -0.65559271043, -0.66808234094],
9566  [-0.24269511645, 0.24269511645, 0.74693876445],
9567  [ 0.78537789464, -0.24269511645, 0.00000000000],
9568  [ 0.24269511645, 0.24269511645, 0.74693876445],
9569  [-0.63538406377, 0.24269511645, 0.46163354395],
9570  [-0.63538406377, -0.24269511645, -0.46163354395],
9571  [ 0.63538406377, 0.24269511645, 0.46163354395],
9572  [ 0.63538406377, -0.24269511645, -0.46163354395],
9573  [-0.24269511645, -0.24269511645, -0.74693876445],
9574  [-0.78537789464, 0.24269511645, -0.00000000000],
9575  [ 0.24269511645, -0.24269511645, -0.74693876445],
9576  [-0.00000000000, 0.65559271043, 0.66808234094],
9577  [ 0.78537789464, 0.24269511645, 0.00000000000],
9578  [-0.63538406377, 0.24269511645, -0.46163354395],
9579  [-0.63538406377, 0.65559271043, 0.20644879699],
9580  [ 0.63538406377, 0.24269511645, -0.46163354395],
9581  [-0.24269511645, 0.24269511645, -0.74693876445],
9582  [ 0.63538406377, 0.65559271043, 0.20644879699],
9583  [ 0.24269511645, 0.24269511645, -0.74693876445],
9584  [-0.24269511645, 0.91077745739, 0.33404117047],
9585  [ 0.24269511645, 0.91077745739, 0.33404117047],
9586  [-0.39268894732, 0.65559271043, -0.54048996746],
9587  [-0.39268894732, 0.91077745739, -0.12759237348],
9588  [ 0.39268894732, 0.65559271043, -0.54048996746],
9589  [ 0.39268894732, 0.91077745739, -0.12759237348],
9590  [ 0.00000000000, 0.91077745739, -0.41289759398]
9591  ],
9592  [
9593  [1.00000000000, -90.00000000000, 65.61301243341],
9594  [1.00000000000, -113.32367419882, 82.66951315513],
9595  [0.93602126912, -120.92089564577, 54.72977482643],
9596  [1.00000000000, -66.67632580118, 82.66951315513],
9597  [0.93602126912, -59.07910435423, 54.72977482643],
9598  [1.00000000000, -104.92091111802, 109.51424256836],
9599  [1.00000000000, -75.07908888197, 109.51424256836],
9600  [0.82202150637, -134.99999999999, 24.67905738933],
9601  [0.93602126912, -134.10317859661, 102.74192321090],
9602  [0.82202150637, -45.00000000001, 24.67905738933],
9603  [0.82202150637, -159.09484255210, 55.83463617183],
9604  [0.93602126912, -45.89682140339, 102.74192321089],
9605  [0.82202150637, -20.90515744789, 55.83463617183],
9606  [0.82202150637, -162.82796214948, 90.00000000000],
9607  [0.93602126912, -89.99999999999, 135.54060237763],
9608  [0.82202150637, 135.00000000000, 24.67905738933],
9609  [0.82202150637, -17.17203785051, 89.99999999999],
9610  [0.82202150637, 45.00000000000, 24.67905738932],
9611  [0.82202150637, 159.09484255210, 55.83463617182],
9612  [0.82202150637, -159.09484255210, 124.16536382816],
9613  [0.82202150637, 20.90515744789, 55.83463617182],
9614  [0.82202150637, -20.90515744789, 124.16536382816],
9615  [0.82202150637, -134.99999999999, 155.32094261067],
9616  [0.82202150637, 162.82796214948, 89.99999999999],
9617  [0.82202150637, -44.99999999999, 155.32094261066],
9618  [0.93602126912, 89.99999999999, 44.45939762235],
9619  [0.82202150637, 17.17203785051, 89.99999999999],
9620  [0.82202150637, 159.09484255209, 124.16536382816],
9621  [0.93602126912, 134.10317859660, 77.25807678910],
9622  [0.82202150637, 20.90515744789, 124.16536382816],
9623  [0.82202150637, 134.99999999998, 155.32094261066],
9624  [0.93602126912, 45.89682140338, 77.25807678908],
9625  [0.82202150637, 45.00000000000, 155.32094261066],
9626  [1.00000000000, 104.92091111802, 70.48575743163],
9627  [1.00000000000, 75.07908888197, 70.48575743163],
9628  [0.93602126912, 120.92089564576, 125.27022517356],
9629  [1.00000000000, 113.32367419881, 97.33048684486],
9630  [0.93602126912, 59.07910435422, 125.27022517356],
9631  [1.00000000000, 66.67632580117, 97.33048684486],
9632  [1.00000000000, 89.99999999999, 114.38698756658]
9633  ],
9634  [
9635  [3,6,5,1,0],
9636  [2,7,9,4,0],
9637  [1,2,0],
9638  [10,7,2],
9639  [8,13,10,2,1],
9640  [5,8,1],
9641  [19,13,8],
9642  [14,22,19,8,5],
9643  [6,14,5],
9644  [24,22,14],
9645  [11,21,24,14,6],
9646  [3,11,6],
9647  [16,21,11],
9648  [4,12,16,11,3],
9649  [0,4,3],
9650  [9,12,4],
9651  [36,39,38,34,33],
9652  [25,15,18,28,33],
9653  [34,25,33],
9654  [17,15,25],
9655  [31,20,17,25,34],
9656  [38,31,34],
9657  [26,20,31],
9658  [37,29,26,31,38],
9659  [39,37,38],
9660  [32,29,37],
9661  [35,30,32,37,39],
9662  [36,35,39],
9663  [27,30,35],
9664  [28,23,27,35,36],
9665  [33,28,36],
9666  [18,23,28],
9667  [21,29,32,24],
9668  [16,26,29,21],
9669  [12,20,26,16],
9670  [9,17,20,12],
9671  [7,15,17,9],
9672  [10,18,15,7],
9673  [13,23,18,10],
9674  [19,27,23,13],
9675  [22,30,27,19],
9676  [24,32,30,22]
9677  ],
9678  [
9679  [0,1],
9680  [0,2],
9681  [0,3],
9682  [0,4],
9683  [1,2],
9684  [1,5],
9685  [1,8],
9686  [2,7],
9687  [2,10],
9688  [3,4],
9689  [3,6],
9690  [3,11],
9691  [4,9],
9692  [4,12],
9693  [5,6],
9694  [5,8],
9695  [5,14],
9696  [6,11],
9697  [6,14],
9698  [7,9],
9699  [7,10],
9700  [7,15],
9701  [8,13],
9702  [8,19],
9703  [9,12],
9704  [9,17],
9705  [10,13],
9706  [10,18],
9707  [11,16],
9708  [11,21],
9709  [12,16],
9710  [12,20],
9711  [13,19],
9712  [13,23],
9713  [14,22],
9714  [14,24],
9715  [15,17],
9716  [15,18],
9717  [15,25],
9718  [16,21],
9719  [16,26],
9720  [17,20],
9721  [17,25],
9722  [18,23],
9723  [18,28],
9724  [19,22],
9725  [19,27],
9726  [20,26],
9727  [20,31],
9728  [21,24],
9729  [21,29],
9730  [22,24],
9731  [22,30],
9732  [23,27],
9733  [23,28],
9734  [24,32],
9735  [25,33],
9736  [25,34],
9737  [26,29],
9738  [26,31],
9739  [27,30],
9740  [27,35],
9741  [28,33],
9742  [28,36],
9743  [29,32],
9744  [29,37],
9745  [30,32],
9746  [30,35],
9747  [31,34],
9748  [31,38],
9749  [32,37],
9750  [33,34],
9751  [33,36],
9752  [34,38],
9753  [35,36],
9754  [35,39],
9755  [36,39],
9756  [37,38],
9757  [37,39],
9758  [38,39]
9759  ]
9760  ],
9761  [
9762  "johnson_elongated_pentagonal_gyrocupolarotunda",
9763  "Elongated Pentagonal Gyrocupolarotunda",
9764  "J41",
9765  "johnson",
9766  "Polyhedron Database #85",
9767  [
9768  [-0.89321946966, -0.44962092814, -0.00000000000],
9769  [-0.72262973066, -0.44962092814, 0.52502123133],
9770  [-0.89321946966, 0.10241906353, 0.00000000000],
9771  [-0.72262973066, -0.44962092814, -0.52502123133],
9772  [-0.72262973066, 0.10241906353, 0.52502123133],
9773  [-0.44660973483, -0.73984552689, 0.14511229938],
9774  [-0.72262973066, 0.10241906353, -0.52502123133],
9775  [-0.72262973066, 0.57201232868, 0.23479663258],
9776  [-0.27601999583, -0.44962092814, 0.84950219710],
9777  [-0.27601999583, -0.73984552689, -0.37990893195],
9778  [-0.27601999583, -0.44962092814, -0.84950219710],
9779  [-0.27601999583, 0.10241906353, 0.84950219710],
9780  [-0.00000000000, -0.73984552689, 0.46959326515],
9781  [-0.44660973483, 0.57201232868, -0.61470556453],
9782  [-0.27601999583, 0.10241906353, -0.84950219710],
9783  [-0.44660973483, 0.86223692743, -0.14511229938],
9784  [-0.27601999583, 0.86223692743, 0.37990893195],
9785  [ 0.27601999583, -0.44962092814, 0.84950219710],
9786  [ 0.27601999583, -0.73984552689, -0.37990893195],
9787  [ 0.00000000000, 0.57201232868, 0.75981786390],
9788  [ 0.44660973483, -0.73984552689, 0.14511229938],
9789  [ 0.27601999583, -0.44962092814, -0.84950219710],
9790  [ 0.27601999583, 0.10241906353, 0.84950219710],
9791  [-0.00000000000, 0.86223692743, -0.46959326515],
9792  [ 0.27601999583, 0.10241906353, -0.84950219710],
9793  [ 0.72262973066, -0.44962092814, 0.52502123133],
9794  [ 0.27601999583, 0.86223692743, 0.37990893195],
9795  [ 0.72262973066, -0.44962092814, -0.52502123133],
9796  [ 0.44660973483, 0.57201232868, -0.61470556453],
9797  [ 0.72262973066, 0.10241906353, 0.52502123133],
9798  [ 0.89321946966, -0.44962092814, -0.00000000000],
9799  [ 0.44660973483, 0.86223692743, -0.14511229938],
9800  [ 0.72262973066, 0.10241906353, -0.52502123133],
9801  [ 0.72262973066, 0.57201232868, 0.23479663258],
9802  [ 0.89321946966, 0.10241906353, -0.00000000000]
9803  ],
9804  [
9805  [1.00000000000, -153.28063430469, 89.99999999999],
9806  [1.00000000000, -148.11008551483, 58.33032745305],
9807  [0.89907212478, 173.45887114425, 89.99999999999],
9808  [1.00000000000, -148.11008551484, 121.66967254694],
9809  [0.89907212478, 171.93313809187, 54.27052003414],
9810  [0.87629289529, -121.11739323402, 80.46802815740],
9811  [0.89907212478, 171.93313809186, 125.72947996584],
9812  [0.95106324210, 141.63590425572, 75.70715252401],
9813  [1.00000000000, -121.54555176267, 31.84243318692],
9814  [0.87629289529, -110.45943215682, 115.69249417880],
9815  [1.00000000000, -121.54555176272, 148.15756681307],
9816  [0.89907212478, 159.64229159257, 19.11460700872],
9817  [0.87629289529, -90.00000000000, 57.59596906291],
9818  [0.95106324210, 127.98162962275, 130.26585133679],
9819  [0.89907212478, 159.64229159254, 160.88539299124],
9820  [0.98181991918, 117.38263757869, 98.49941439443],
9821  [0.98181991918, 107.75095108054, 67.23554569143],
9822  [1.00000000000, -58.45444823730, 31.84243318693],
9823  [0.87629289529, -69.54056784319, 115.69249417881],
9824  [0.95106324210, 89.99999999999, 36.97346571500],
9825  [0.87629289529, -58.88260676597, 80.46802815741],
9826  [1.00000000000, -58.45444823730, 148.15756681308],
9827  [0.89907212478, 20.35770840741, 19.11460700874],
9828  [0.98181991918, 89.99999999999, 118.57368669056],
9829  [0.89907212478, 20.35770840746, 160.88539299126],
9830  [1.00000000000, -31.88991448515, 58.33032745305],
9831  [0.98181991918, 72.24904891944, 67.23554569143],
9832  [1.00000000000, -31.88991448516, 121.66967254695],
9833  [0.95106324210, 52.01837037725, 130.26585133680],
9834  [0.89907212478, 8.06686190811, 54.27052003415],
9835  [1.00000000000, -26.71936569530, 90.00000000001],
9836  [0.98181991918, 62.61736242130, 98.49941439444],
9837  [0.89907212478, 8.06686190812, 125.72947996585],
9838  [0.95106324210, 38.36409574425, 75.70715252401],
9839  [0.89907212478, 6.54112885574, 90.00000000000]
9840  ],
9841  [
9842  [12,20,18,9,5],
9843  [3,0,5,9],
9844  [10,3,9],
9845  [21,10,9,18],
9846  [27,21,18],
9847  [30,27,18,20],
9848  [25,30,20],
9849  [17,25,20,12],
9850  [8,17,12],
9851  [1,8,12,5],
9852  [0,1,5],
9853  [23,31,26,16,15],
9854  [7,2,6,13,15],
9855  [16,7,15],
9856  [4,2,7],
9857  [19,11,4,7,16],
9858  [26,19,16],
9859  [22,11,19],
9860  [33,29,22,19,26],
9861  [31,33,26],
9862  [34,29,33],
9863  [28,32,34,33,31],
9864  [23,28,31],
9865  [24,32,28],
9866  [13,14,24,28,23],
9867  [15,13,23],
9868  [6,14,13],
9869  [17,22,29,25],
9870  [8,11,22,17],
9871  [1,4,11,8],
9872  [0,2,4,1],
9873  [3,6,2,0],
9874  [10,14,6,3],
9875  [21,24,14,10],
9876  [27,32,24,21],
9877  [30,34,32,27],
9878  [25,29,34,30]
9879  ],
9880  [
9881  [0,1],
9882  [0,2],
9883  [0,3],
9884  [0,5],
9885  [1,4],
9886  [1,5],
9887  [1,8],
9888  [2,4],
9889  [2,6],
9890  [2,7],
9891  [3,6],
9892  [3,9],
9893  [3,10],
9894  [4,7],
9895  [4,11],
9896  [5,9],
9897  [5,12],
9898  [6,13],
9899  [6,14],
9900  [7,15],
9901  [7,16],
9902  [8,11],
9903  [8,12],
9904  [8,17],
9905  [9,10],
9906  [9,18],
9907  [10,14],
9908  [10,21],
9909  [11,19],
9910  [11,22],
9911  [12,17],
9912  [12,20],
9913  [13,14],
9914  [13,15],
9915  [13,23],
9916  [14,24],
9917  [15,16],
9918  [15,23],
9919  [16,19],
9920  [16,26],
9921  [17,22],
9922  [17,25],
9923  [18,20],
9924  [18,21],
9925  [18,27],
9926  [19,22],
9927  [19,26],
9928  [20,25],
9929  [20,30],
9930  [21,24],
9931  [21,27],
9932  [22,29],
9933  [23,28],
9934  [23,31],
9935  [24,28],
9936  [24,32],
9937  [25,29],
9938  [25,30],
9939  [26,31],
9940  [26,33],
9941  [27,30],
9942  [27,32],
9943  [28,31],
9944  [28,32],
9945  [29,33],
9946  [29,34],
9947  [30,34],
9948  [31,33],
9949  [32,34],
9950  [33,34]
9951  ]
9952  ],
9953  [
9954  "johnson_elongated_pentagonal_orthobicupola",
9955  "Elongated Pentagonal Orthobicupola",
9956  "J38",
9957  "johnson",
9958  "Polyhedron Database #82",
9959  [
9960  [ 0.95542256322, 0.29524180884, -0.00000000000],
9961  [ 0.77295309045, 0.29524180884, 0.56158329237],
9962  [ 0.95542256322, -0.29524180884, -0.00000000000],
9963  [ 0.77295309045, 0.29524180884, -0.56158329237],
9964  [ 0.47771128161, 0.60567741786, 0.15521780451],
9965  [ 0.77295309045, -0.29524180884, 0.56158329237],
9966  [ 0.29524180884, 0.29524180884, 0.90866085457],
9967  [ 0.77295309045, -0.29524180884, -0.56158329237],
9968  [ 0.29524180884, 0.60567741786, -0.40636548786],
9969  [ 0.00000000000, 0.60567741786, 0.50229536671],
9970  [ 0.29524180884, -0.29524180884, 0.90866085457],
9971  [ 0.29524180884, 0.29524180884, -0.90866085457],
9972  [ 0.47771128161, -0.60567741786, 0.15521780451],
9973  [-0.29524180884, 0.29524180884, 0.90866085457],
9974  [ 0.29524180884, -0.29524180884, -0.90866085457],
9975  [ 0.29524180884, -0.60567741786, -0.40636548786],
9976  [-0.29524180884, 0.60567741786, -0.40636548786],
9977  [ 0.00000000000, -0.60567741786, 0.50229536671],
9978  [-0.47771128161, 0.60567741786, 0.15521780451],
9979  [-0.29524180884, -0.29524180884, 0.90866085457],
9980  [-0.29524180884, 0.29524180884, -0.90866085457],
9981  [-0.77295309045, 0.29524180884, 0.56158329237],
9982  [-0.29524180884, -0.29524180884, -0.90866085457],
9983  [-0.29524180884, -0.60567741786, -0.40636548786],
9984  [-0.47771128161, -0.60567741786, 0.15521780451],
9985  [-0.77295309045, 0.29524180884, -0.56158329237],
9986  [-0.77295309045, -0.29524180884, 0.56158329237],
9987  [-0.95542256322, 0.29524180884, 0.00000000000],
9988  [-0.77295309045, -0.29524180884, -0.56158329237],
9989  [-0.95542256322, -0.29524180884, 0.00000000000]
9990  ],
9991  [
9992  [1.00000000000, 17.17203785052, 89.99999999999],
9993  [1.00000000000, 20.90515744789, 55.83463617182],
9994  [1.00000000000, -17.17203785051, 90.00000000000],
9995  [1.00000000000, 20.90515744790, 124.16536382816],
9996  [0.78685816379, 51.73636802936, 78.62306249644],
9997  [1.00000000000, -20.90515744789, 55.83463617183],
9998  [1.00000000000, 44.99999999999, 24.67905738932],
9999  [1.00000000000, -20.90515744788, 124.16536382818],
10000  [0.78685816379, 64.01274853924, 121.09379417366],
10001  [0.78685816379, 89.99999999998, 50.33068539622],
10002  [1.00000000000, -45.00000000001, 24.67905738933],
10003  [1.00000000000, 45.00000000002, 155.32094261066],
10004  [0.78685816379, -51.73636802935, 78.62306249646],
10005  [1.00000000000, 135.00000000001, 24.67905738931],
10006  [1.00000000000, -44.99999999998, 155.32094261068],
10007  [0.78685816379, -64.01274853923, 121.09379417368],
10008  [0.78685816379, 115.98725146076, 121.09379417367],
10009  [0.78685816379, -89.99999999999, 50.33068539624],
10010  [0.78685816379, 128.26363197064, 78.62306249644],
10011  [1.00000000000, -134.99999999997, 24.67905738933],
10012  [1.00000000000, 134.99999999998, 155.32094261065],
10013  [1.00000000000, 159.09484255211, 55.83463617181],
10014  [1.00000000000, -135.00000000000, 155.32094261067],
10015  [0.78685816379, -115.98725146075, 121.09379417368],
10016  [0.78685816379, -128.26363197063, 78.62306249646],
10017  [1.00000000000, 159.09484255210, 124.16536382816],
10018  [1.00000000000, -159.09484255209, 55.83463617183],
10019  [1.00000000000, 162.82796214948, 89.99999999999],
10020  [1.00000000000, -159.09484255210, 124.16536382817],
10021  [1.00000000000, -162.82796214947, 89.99999999999]
10022  ],
10023  [
10024  [15,23,24,17,12],
10025  [10,5,12,17],
10026  [19,10,17],
10027  [26,19,17,24],
10028  [29,26,24],
10029  [28,29,24,23],
10030  [22,28,23],
10031  [14,22,23,15],
10032  [7,14,15],
10033  [2,7,15,12],
10034  [5,2,12],
10035  [18,16,8,4,9],
10036  [1,6,9,4],
10037  [0,1,4],
10038  [3,0,4,8],
10039  [11,3,8],
10040  [20,11,8,16],
10041  [25,20,16],
10042  [27,25,16,18],
10043  [21,27,18],
10044  [13,21,18,9],
10045  [6,13,9],
10046  [14,11,20,22],
10047  [7,3,11,14],
10048  [2,0,3,7],
10049  [5,1,0,2],
10050  [10,6,1,5],
10051  [19,13,6,10],
10052  [26,21,13,19],
10053  [29,27,21,26],
10054  [28,25,27,29],
10055  [22,20,25,28]
10056  ],
10057  [
10058  [0,1],
10059  [0,2],
10060  [0,3],
10061  [0,4],
10062  [1,4],
10063  [1,5],
10064  [1,6],
10065  [2,5],
10066  [2,7],
10067  [2,12],
10068  [3,7],
10069  [3,8],
10070  [3,11],
10071  [4,8],
10072  [4,9],
10073  [5,10],
10074  [5,12],
10075  [6,9],
10076  [6,10],
10077  [6,13],
10078  [7,14],
10079  [7,15],
10080  [8,11],
10081  [8,16],
10082  [9,13],
10083  [9,18],
10084  [10,17],
10085  [10,19],
10086  [11,14],
10087  [11,20],
10088  [12,15],
10089  [12,17],
10090  [13,19],
10091  [13,21],
10092  [14,15],
10093  [14,22],
10094  [15,23],
10095  [16,18],
10096  [16,20],
10097  [16,25],
10098  [17,19],
10099  [17,24],
10100  [18,21],
10101  [18,27],
10102  [19,26],
10103  [20,22],
10104  [20,25],
10105  [21,26],
10106  [21,27],
10107  [22,23],
10108  [22,28],
10109  [23,24],
10110  [23,28],
10111  [24,26],
10112  [24,29],
10113  [25,27],
10114  [25,28],
10115  [26,29],
10116  [27,29],
10117  [28,29]
10118  ]
10119  ],
10120  [
10121  "johnson_elongated_pentagonal_orthobirotunda",
10122  "Elongated Pentagonal Orthobirotunda",
10123  "J42",
10124  "johnson",
10125  "Polyhedron Database #86",
10126  [
10127  [ 0.39268894732, 0.91077745739, -0.12759237348],
10128  [ 0.63538406377, 0.65559271043, 0.20644879699],
10129  [ 0.24269511645, 0.91077745739, 0.33404117047],
10130  [ 0.39268894732, 0.65559271043, -0.54048996746],
10131  [ 0.00000000000, 0.91077745739, -0.41289759398],
10132  [ 0.78537789464, 0.24269511645, 0.00000000000],
10133  [-0.24269511645, 0.91077745739, 0.33404117047],
10134  [ 0.63538406377, 0.24269511645, -0.46163354395],
10135  [-0.39268894732, 0.91077745739, -0.12759237348],
10136  [ 0.63538406377, 0.24269511645, 0.46163354395],
10137  [ 0.00000000000, 0.65559271043, 0.66808234094],
10138  [ 0.24269511645, 0.24269511645, -0.74693876445],
10139  [-0.39268894732, 0.65559271043, -0.54048996746],
10140  [ 0.24269511645, 0.24269511645, 0.74693876445],
10141  [ 0.78537789464, -0.24269511645, -0.00000000000],
10142  [-0.63538406377, 0.65559271043, 0.20644879699],
10143  [ 0.63538406377, -0.24269511645, -0.46163354395],
10144  [ 0.63538406377, -0.24269511645, 0.46163354395],
10145  [-0.24269511645, 0.24269511645, -0.74693876445],
10146  [-0.24269511645, 0.24269511645, 0.74693876445],
10147  [ 0.24269511645, -0.24269511645, -0.74693876445],
10148  [ 0.24269511645, -0.24269511645, 0.74693876445],
10149  [-0.63538406377, 0.24269511645, -0.46163354395],
10150  [-0.63538406377, 0.24269511645, 0.46163354395],
10151  [ 0.63538406377, -0.65559271043, 0.20644879699],
10152  [-0.78537789464, 0.24269511645, 0.00000000000],
10153  [-0.24269511645, -0.24269511645, -0.74693876445],
10154  [ 0.39268894732, -0.65559271043, -0.54048996746],
10155  [-0.24269511645, -0.24269511645, 0.74693876445],
10156  [-0.63538406377, -0.24269511645, -0.46163354395],
10157  [ 0.39268894732, -0.91077745739, -0.12759237348],
10158  [-0.63538406377, -0.24269511645, 0.46163354395],
10159  [ 0.00000000000, -0.65559271043, 0.66808234094],
10160  [-0.78537789464, -0.24269511645, -0.00000000000],
10161  [ 0.24269511645, -0.91077745739, 0.33404117047],
10162  [-0.39268894732, -0.65559271043, -0.54048996746],
10163  [-0.00000000000, -0.91077745739, -0.41289759398],
10164  [-0.63538406377, -0.65559271043, 0.20644879699],
10165  [-0.24269511645, -0.91077745739, 0.33404117047],
10166  [-0.39268894732, -0.91077745739, -0.12759237348]
10167  ],
10168  [
10169  [1.00000000000, 66.67632580117, 97.33048684486],
10170  [0.93602126912, 45.89682140339, 77.25807678909],
10171  [1.00000000000, 75.07908888197, 70.48575743162],
10172  [0.93602126912, 59.07910435423, 125.27022517356],
10173  [1.00000000000, 89.99999999999, 114.38698756658],
10174  [0.82202150637, 17.17203785051, 89.99999999999],
10175  [1.00000000000, 104.92091111801, 70.48575743162],
10176  [0.82202150637, 20.90515744789, 124.16536382816],
10177  [1.00000000000, 113.32367419881, 97.33048684485],
10178  [0.82202150637, 20.90515744789, 55.83463617182],
10179  [0.93602126912, 89.99999999999, 44.45939762235],
10180  [0.82202150637, 45.00000000001, 155.32094261066],
10181  [0.93602126912, 120.92089564576, 125.27022517355],
10182  [0.82202150637, 44.99999999999, 24.67905738932],
10183  [0.82202150637, -17.17203785052, 90.00000000000],
10184  [0.93602126912, 134.10317859660, 77.25807678908],
10185  [0.82202150637, -20.90515744789, 124.16536382818],
10186  [0.82202150637, -20.90515744789, 55.83463617183],
10187  [0.82202150637, 134.99999999998, 155.32094261065],
10188  [0.82202150637, 134.99999999999, 24.67905738931],
10189  [0.82202150637, -45.00000000000, 155.32094261068],
10190  [0.82202150637, -45.00000000001, 24.67905738934],
10191  [0.82202150637, 159.09484255209, 124.16536382816],
10192  [0.82202150637, 159.09484255210, 55.83463617181],
10193  [0.93602126912, -45.89682140338, 77.25807678910],
10194  [0.82202150637, 162.82796214947, 89.99999999998],
10195  [0.82202150637, -135.00000000000, 155.32094261067],
10196  [0.93602126912, -59.07910435422, 125.27022517357],
10197  [0.82202150637, -134.99999999998, 24.67905738932],
10198  [0.82202150637, -159.09484255210, 124.16536382817],
10199  [1.00000000000, -66.67632580117, 97.33048684488],
10200  [0.82202150637, -159.09484255209, 55.83463617183],
10201  [0.93602126912, -89.99999999999, 44.45939762237],
10202  [0.82202150637, -162.82796214948, 89.99999999999],
10203  [1.00000000000, -75.07908888196, 70.48575743164],
10204  [0.93602126912, -120.92089564578, 125.27022517357],
10205  [1.00000000000, -90.00000000000, 114.38698756659],
10206  [0.93602126912, -134.10317859660, 77.25807678910],
10207  [1.00000000000, -104.92091111802, 70.48575743164],
10208  [1.00000000000, -113.32367419882, 97.33048684487]
10209  ],
10210  [
10211  [2,6,8,4,0],
10212  [3,7,5,1,0],
10213  [4,3,0],
10214  [11,7,3],
10215  [12,18,11,3,4],
10216  [8,12,4],
10217  [22,18,12],
10218  [15,25,22,12,8],
10219  [6,15,8],
10220  [23,25,15],
10221  [10,19,23,15,6],
10222  [2,10,6],
10223  [13,19,10],
10224  [1,9,13,10,2],
10225  [0,1,2],
10226  [5,9,1],
10227  [36,39,38,34,30],
10228  [24,14,16,27,30],
10229  [34,24,30],
10230  [17,14,24],
10231  [32,21,17,24,34],
10232  [38,32,34],
10233  [28,21,32],
10234  [37,31,28,32,38],
10235  [39,37,38],
10236  [33,31,37],
10237  [35,29,33,37,39],
10238  [36,35,39],
10239  [26,29,35],
10240  [27,20,26,35,36],
10241  [30,27,36],
10242  [16,20,27],
10243  [19,28,31,23],
10244  [13,21,28,19],
10245  [9,17,21,13],
10246  [5,14,17,9],
10247  [7,16,14,5],
10248  [11,20,16,7],
10249  [18,26,20,11],
10250  [22,29,26,18],
10251  [25,33,29,22],
10252  [23,31,33,25]
10253  ],
10254  [
10255  [0,1],
10256  [0,2],
10257  [0,3],
10258  [0,4],
10259  [1,2],
10260  [1,5],
10261  [1,9],
10262  [2,6],
10263  [2,10],
10264  [3,4],
10265  [3,7],
10266  [3,11],
10267  [4,8],
10268  [4,12],
10269  [5,7],
10270  [5,9],
10271  [5,14],
10272  [6,8],
10273  [6,10],
10274  [6,15],
10275  [7,11],
10276  [7,16],
10277  [8,12],
10278  [8,15],
10279  [9,13],
10280  [9,17],
10281  [10,13],
10282  [10,19],
10283  [11,18],
10284  [11,20],
10285  [12,18],
10286  [12,22],
10287  [13,19],
10288  [13,21],
10289  [14,16],
10290  [14,17],
10291  [14,24],
10292  [15,23],
10293  [15,25],
10294  [16,20],
10295  [16,27],
10296  [17,21],
10297  [17,24],
10298  [18,22],
10299  [18,26],
10300  [19,23],
10301  [19,28],
10302  [20,26],
10303  [20,27],
10304  [21,28],
10305  [21,32],
10306  [22,25],
10307  [22,29],
10308  [23,25],
10309  [23,31],
10310  [24,30],
10311  [24,34],
10312  [25,33],
10313  [26,29],
10314  [26,35],
10315  [27,30],
10316  [27,36],
10317  [28,31],
10318  [28,32],
10319  [29,33],
10320  [29,35],
10321  [30,34],
10322  [30,36],
10323  [31,33],
10324  [31,37],
10325  [32,34],
10326  [32,38],
10327  [33,37],
10328  [34,38],
10329  [35,36],
10330  [35,39],
10331  [36,39],
10332  [37,38],
10333  [37,39],
10334  [38,39]
10335  ]
10336  ],
10337  [
10338  "johnson_elongated_pentagonal_orthocupolarotunda",
10339  "Elongated Pentagonal Orthocupolarotunda",
10340  "J40",
10341  "johnson",
10342  "Polyhedron Database #84",
10343  [
10344  [ 0.89321946966, -0.44962092814, 0.00000000000],
10345  [ 0.72262973066, -0.44962092814, 0.52502123133],
10346  [ 0.72262973066, -0.44962092814, -0.52502123133],
10347  [ 0.89321946966, 0.10241906353, -0.00000000000],
10348  [ 0.44660973483, -0.73984552689, -0.14511229938],
10349  [ 0.72262973066, 0.10241906353, 0.52502123133],
10350  [ 0.27601999583, -0.73984552689, 0.37990893195],
10351  [ 0.72262973066, 0.10241906353, -0.52502123133],
10352  [ 0.27601999583, -0.44962092814, 0.84950219710],
10353  [ 0.27601999583, -0.44962092814, -0.84950219710],
10354  [ 0.72262973066, 0.57201232868, 0.23479663258],
10355  [-0.00000000000, -0.73984552689, -0.46959326515],
10356  [ 0.27601999583, 0.10241906353, 0.84950219710],
10357  [ 0.27601999583, 0.10241906353, -0.84950219710],
10358  [-0.27601999583, -0.73984552689, 0.37990893195],
10359  [ 0.44660973483, 0.57201232868, -0.61470556453],
10360  [-0.27601999583, -0.44962092814, 0.84950219710],
10361  [ 0.44660973483, 0.86223692743, -0.14511229938],
10362  [-0.44660973483, -0.73984552689, -0.14511229938],
10363  [-0.27601999583, -0.44962092814, -0.84950219710],
10364  [ 0.27601999583, 0.86223692743, 0.37990893195],
10365  [-0.00000000000, 0.57201232868, 0.75981786390],
10366  [-0.27601999583, 0.10241906353, 0.84950219710],
10367  [-0.27601999583, 0.10241906353, -0.84950219710],
10368  [-0.72262973066, -0.44962092814, 0.52502123133],
10369  [-0.00000000000, 0.86223692743, -0.46959326515],
10370  [-0.72262973066, -0.44962092814, -0.52502123133],
10371  [-0.89321946966, -0.44962092814, 0.00000000000],
10372  [-0.27601999583, 0.86223692743, 0.37990893195],
10373  [-0.72262973066, 0.10241906353, 0.52502123133],
10374  [-0.44660973483, 0.57201232868, -0.61470556453],
10375  [-0.72262973066, 0.10241906353, -0.52502123133],
10376  [-0.44660973483, 0.86223692743, -0.14511229938],
10377  [-0.89321946966, 0.10241906353, 0.00000000000],
10378  [-0.72262973066, 0.57201232868, 0.23479663258]
10379  ],
10380  [
10381  [1.00000000000, -26.71936569529, 89.99999999999],
10382  [1.00000000000, -31.88991448516, 58.33032745305],
10383  [1.00000000000, -31.88991448516, 121.66967254695],
10384  [0.89907212478, 6.54112885574, 89.99999999999],
10385  [0.87629289529, -58.88260676597, 99.53197184259],
10386  [0.89907212478, 8.06686190811, 54.27052003414],
10387  [0.87629289529, -69.54056784318, 64.30750582120],
10388  [0.89907212478, 8.06686190813, 125.72947996585],
10389  [1.00000000000, -58.45444823730, 31.84243318692],
10390  [1.00000000000, -58.45444823730, 148.15756681307],
10391  [0.95106324210, 38.36409574426, 75.70715252401],
10392  [0.87629289529, -89.99999999999, 122.40403093709],
10393  [0.89907212478, 20.35770840741, 19.11460700874],
10394  [0.89907212478, 20.35770840745, 160.88539299125],
10395  [0.87629289529, -110.45943215680, 64.30750582120],
10396  [0.95106324210, 52.01837037724, 130.26585133679],
10397  [1.00000000000, -121.54555176269, 31.84243318692],
10398  [0.98181991918, 62.61736242130, 98.49941439444],
10399  [0.87629289529, -121.11739323402, 99.53197184259],
10400  [1.00000000000, -121.54555176269, 148.15756681307],
10401  [0.98181991918, 72.24904891944, 67.23554569144],
10402  [0.95106324210, 90.00000000000, 36.97346571501],
10403  [0.89907212478, 159.64229159257, 19.11460700873],
10404  [0.89907212478, 159.64229159256, 160.88539299125],
10405  [1.00000000000, -148.11008551483, 58.33032745304],
10406  [0.98181991918, 90.00000000000, 118.57368669057],
10407  [1.00000000000, -148.11008551484, 121.66967254695],
10408  [1.00000000000, -153.28063430469, 89.99999999999],
10409  [0.98181991918, 107.75095108054, 67.23554569144],
10410  [0.89907212478, 171.93313809188, 54.27052003414],
10411  [0.95106324210, 127.98162962274, 130.26585133680],
10412  [0.89907212478, 171.93313809187, 125.72947996585],
10413  [0.98181991918, 117.38263757869, 98.49941439444],
10414  [0.89907212478, 173.45887114426, 89.99999999999],
10415  [0.95106324210, 141.63590425573, 75.70715252401]
10416  ],
10417  [
10418  [11,18,14,6,4],
10419  [1,0,4,6],
10420  [8,1,6],
10421  [16,8,6,14],
10422  [24,16,14],
10423  [27,24,14,18],
10424  [26,27,18],
10425  [19,26,18,11],
10426  [9,19,11],
10427  [2,9,11,4],
10428  [0,2,4],
10429  [28,32,25,17,20],
10430  [10,5,12,21,20],
10431  [17,10,20],
10432  [3,5,10],
10433  [15,7,3,10,17],
10434  [25,15,17],
10435  [13,7,15],
10436  [30,23,13,15,25],
10437  [32,30,25],
10438  [31,23,30],
10439  [34,33,31,30,32],
10440  [28,34,32],
10441  [29,33,34],
10442  [21,22,29,34,28],
10443  [20,21,28],
10444  [12,22,21],
10445  [19,23,31,26],
10446  [9,13,23,19],
10447  [2,7,13,9],
10448  [0,3,7,2],
10449  [1,5,3,0],
10450  [8,12,5,1],
10451  [16,22,12,8],
10452  [24,29,22,16],
10453  [27,33,29,24],
10454  [26,31,33,27]
10455  ],
10456  [
10457  [0,1],
10458  [0,2],
10459  [0,3],
10460  [0,4],
10461  [1,5],
10462  [1,6],
10463  [1,8],
10464  [2,4],
10465  [2,7],
10466  [2,9],
10467  [3,5],
10468  [3,7],
10469  [3,10],
10470  [4,6],
10471  [4,11],
10472  [5,10],
10473  [5,12],
10474  [6,8],
10475  [6,14],
10476  [7,13],
10477  [7,15],
10478  [8,12],
10479  [8,16],
10480  [9,11],
10481  [9,13],
10482  [9,19],
10483  [10,17],
10484  [10,20],
10485  [11,18],
10486  [11,19],
10487  [12,21],
10488  [12,22],
10489  [13,15],
10490  [13,23],
10491  [14,16],
10492  [14,18],
10493  [14,24],
10494  [15,17],
10495  [15,25],
10496  [16,22],
10497  [16,24],
10498  [17,20],
10499  [17,25],
10500  [18,26],
10501  [18,27],
10502  [19,23],
10503  [19,26],
10504  [20,21],
10505  [20,28],
10506  [21,22],
10507  [21,28],
10508  [22,29],
10509  [23,30],
10510  [23,31],
10511  [24,27],
10512  [24,29],
10513  [25,30],
10514  [25,32],
10515  [26,27],
10516  [26,31],
10517  [27,33],
10518  [28,32],
10519  [28,34],
10520  [29,33],
10521  [29,34],
10522  [30,31],
10523  [30,32],
10524  [31,33],
10525  [32,34],
10526  [33,34]
10527  ]
10528  ],
10529  [
10530  "johnson_elongated_pentagonal_pyramid",
10531  "Elongated Pentagonal Pyramid",
10532  "J9",
10533  "johnson",
10534  "Polyhedron Database #53",
10535  [
10536  [-0.00000000000, -0.57203305118, 0.82023057024],
10537  [-0.00000000000, 0.39220581415, 0.82023057024],
10538  [-0.78008562869, -0.57203305118, 0.25346518551],
10539  [ 0.78008562869, -0.57203305118, 0.25346518551],
10540  [-0.78008562869, 0.39220581415, 0.25346518551],
10541  [ 0.78008562869, 0.39220581415, 0.25346518551],
10542  [-0.00000000000, 0.89913618517, 0.00000000000],
10543  [-0.48211943267, -0.57203305118, -0.66358047063],
10544  [ 0.48211943267, -0.57203305118, -0.66358047063],
10545  [-0.48211943267, 0.39220581415, -0.66358047063],
10546  [ 0.48211943267, 0.39220581415, -0.66358047063]
10547  ],
10548  [
10549  [1.00000000000, -89.99999999999, 34.89211861905],
10550  [0.90917742438, 89.99999999999, 25.55550959478],
10551  [1.00000000000, -143.74758289659, 75.31734079704],
10552  [1.00000000000, -36.25241710340, 75.31734079703],
10553  [0.90917742438, 153.30799531701, 73.81228658369],
10554  [0.90917742438, 26.69200468298, 73.81228658369],
10555  [0.89913618517, 89.99999999999, 89.99999999999],
10556  [1.00000000000, -130.12477362434, 131.57351491595],
10557  [1.00000000000, -49.87522637565, 131.57351491594],
10558  [0.90917742438, 140.87152731453, 136.87541787966],
10559  [0.90917742438, 39.12847268545, 136.87541787966]
10560  ],
10561  [
10562  [7,2,0,3,8],
10563  [5,3,0,1],
10564  [5,1,6],
10565  [10,8,3,5],
10566  [10,5,6],
10567  [9,7,8,10],
10568  [9,10,6],
10569  [4,2,7,9],
10570  [4,9,6],
10571  [1,0,2,4],
10572  [1,4,6]
10573  ],
10574  [
10575  [0,1],
10576  [0,2],
10577  [0,3],
10578  [1,4],
10579  [1,5],
10580  [1,6],
10581  [2,4],
10582  [2,7],
10583  [3,5],
10584  [3,8],
10585  [4,6],
10586  [4,9],
10587  [5,6],
10588  [5,10],
10589  [6,9],
10590  [6,10],
10591  [7,8],
10592  [7,9],
10593  [8,10],
10594  [9,10]
10595  ]
10596  ],
10597  [
10598  "johnson_elongated_pentagonal_rotunds",
10599  "Elongated Pentagonal Rotunds",
10600  "J21",
10601  "johnson",
10602  "Polyhedron Database #65",
10603  [
10604  [ 0.68097260340, 0.42283845042, 0.22126141144],
10605  [ 0.42086421431, 0.69633259576, -0.13674707267],
10606  [ 0.84172842862, -0.01968437246, 0.00000000000],
10607  [ 0.26010838909, 0.69633259576, 0.35800848411],
10608  [ 0.68097260340, -0.01968437246, 0.49475555678],
10609  [ 0.42086421431, 0.42283845042, -0.57926989555],
10610  [ 0.68097260340, -0.01968437246, -0.49475555678],
10611  [ 0.84172842862, -0.53990115064, 0.00000000000],
10612  [-0.00000000000, 0.69633259576, -0.44252282288],
10613  [ 0.68097260340, -0.53990115064, 0.49475555678],
10614  [-0.00000000000, 0.42283845042, 0.71601696822],
10615  [ 0.26010838909, -0.01968437246, 0.80053130699],
10616  [ 0.68097260340, -0.53990115064, -0.49475555678],
10617  [-0.26010838909, 0.69633259576, 0.35800848411],
10618  [ 0.26010838909, -0.01968437246, -0.80053130699],
10619  [-0.42086421431, 0.69633259576, -0.13674707267],
10620  [ 0.26010838909, -0.53990115064, 0.80053130699],
10621  [ 0.26010838909, -0.53990115064, -0.80053130699],
10622  [-0.26010838909, -0.01968437246, 0.80053130699],
10623  [-0.42086421431, 0.42283845042, -0.57926989555],
10624  [-0.26010838909, -0.01968437246, -0.80053130699],
10625  [-0.68097260340, 0.42283845042, 0.22126141144],
10626  [-0.26010838909, -0.53990115064, 0.80053130699],
10627  [-0.68097260340, -0.01968437246, 0.49475555678],
10628  [-0.26010838909, -0.53990115064, -0.80053130699],
10629  [-0.68097260340, -0.01968437246, -0.49475555678],
10630  [-0.84172842862, -0.01968437246, -0.00000000000],
10631  [-0.68097260340, -0.53990115064, 0.49475555678],
10632  [-0.68097260340, -0.53990115064, -0.49475555678],
10633  [-0.84172842862, -0.53990115064, -0.00000000000]
10634  ],
10635  [
10636  [0.83154834732, 31.83751590051, 74.56864717223],
10637  [0.82504880625, 58.85118673122, 99.54047056804],
10638  [0.84195856315, -1.33965527789, 89.99999999999],
10639  [0.82504880625, 69.51730608160, 64.28315347175],
10640  [0.84195856315, -1.65574574906, 54.01137741034],
10641  [0.83154834732, 45.13406996974, 134.15613296486],
10642  [0.84195856315, -1.65574574906, 125.98862258965],
10643  [1.00000000000, -32.67690999588, 89.99999999999],
10644  [0.82504880625, 89.99999999999, 122.43616115368],
10645  [1.00000000000, -38.40872777727, 60.34636723232],
10646  [0.83154834732, 89.99999999999, 30.56365623923],
10647  [0.84195856315, -4.32775647929, 18.04813673204],
10648  [1.00000000000, -38.40872777727, 119.65363276766],
10649  [0.82504880625, 110.48269391840, 64.28315347176],
10650  [0.84195856315, -4.32775647929, 161.95186326793],
10651  [0.82504880625, 121.14881326877, 99.54047056805],
10652  [1.00000000000, -64.27660964891, 36.81913157227],
10653  [1.00000000000, -64.27660964889, 143.18086842771],
10654  [0.84195856315, -175.67224352070, 18.04813673206],
10655  [0.83154834732, 134.86593003026, 134.15613296486],
10656  [0.84195856315, -175.67224352067, 161.95186326795],
10657  [0.83154834732, 148.16248409948, 74.56864717223],
10658  [1.00000000000, -115.72339035110, 36.81913157227],
10659  [0.84195856315, -178.34425425092, 54.01137741034],
10660  [1.00000000000, -115.72339035107, 143.18086842772],
10661  [0.84195856315, -178.34425425092, 125.98862258965],
10662  [0.84195856315, -178.66034472209, 89.99999999999],
10663  [1.00000000000, -141.59127222271, 60.34636723233],
10664  [1.00000000000, -141.59127222271, 119.65363276766],
10665  [1.00000000000, -147.32309000410, 90.00000000001]
10666  ],
10667  [
10668  [28,29,27,22,16,9,7,12,17,24],
10669  [1,3,13,15,8],
10670  [19,20,14,5,8],
10671  [15,19,8],
10672  [25,20,19],
10673  [21,26,25,19,15],
10674  [13,21,15],
10675  [23,26,21],
10676  [10,18,23,21,13],
10677  [3,10,13],
10678  [11,18,10],
10679  [0,4,11,10,3],
10680  [1,0,3],
10681  [2,4,0],
10682  [5,6,2,0,1],
10683  [8,5,1],
10684  [14,6,5],
10685  [4,9,16,11],
10686  [2,7,9,4],
10687  [6,12,7,2],
10688  [14,17,12,6],
10689  [20,24,17,14],
10690  [25,28,24,20],
10691  [26,29,28,25],
10692  [23,27,29,26],
10693  [18,22,27,23],
10694  [11,16,22,18]
10695  ],
10696  [
10697  [0,1],
10698  [0,2],
10699  [0,3],
10700  [0,4],
10701  [1,3],
10702  [1,5],
10703  [1,8],
10704  [2,4],
10705  [2,6],
10706  [2,7],
10707  [3,10],
10708  [3,13],
10709  [4,9],
10710  [4,11],
10711  [5,6],
10712  [5,8],
10713  [5,14],
10714  [6,12],
10715  [6,14],
10716  [7,9],
10717  [7,12],
10718  [8,15],
10719  [8,19],
10720  [9,16],
10721  [10,11],
10722  [10,13],
10723  [10,18],
10724  [11,16],
10725  [11,18],
10726  [12,17],
10727  [13,15],
10728  [13,21],
10729  [14,17],
10730  [14,20],
10731  [15,19],
10732  [15,21],
10733  [16,22],
10734  [17,24],
10735  [18,22],
10736  [18,23],
10737  [19,20],
10738  [19,25],
10739  [20,24],
10740  [20,25],
10741  [21,23],
10742  [21,26],
10743  [22,27],
10744  [23,26],
10745  [23,27],
10746  [24,28],
10747  [25,26],
10748  [25,28],
10749  [26,29],
10750  [27,29],
10751  [28,29]
10752  ]
10753  ],
10754  [
10755  "johnson_elongated_square_cupola",
10756  "Elongated Square Cupola",
10757  "J19",
10758  "johnson",
10759  "Polyhedron Database #63",
10760  [
10761  [-0.33282985348, 0.17212538424, 0.80352234624],
10762  [-0.33282985348, 0.64281787700, 0.33282985348],
10763  [-0.80352234624, 0.17212538424, 0.33282985348],
10764  [ 0.33282985348, 0.17212538424, 0.80352234624],
10765  [-0.33282985348, -0.49353432273, 0.80352234624],
10766  [ 0.33282985348, 0.64281787700, 0.33282985348],
10767  [-0.80352234624, -0.49353432273, 0.33282985348],
10768  [-0.33282985348, 0.64281787700, -0.33282985348],
10769  [-0.80352234624, 0.17212538424, -0.33282985348],
10770  [ 0.33282985348, -0.49353432273, 0.80352234624],
10771  [ 0.33282985348, 0.64281787700, -0.33282985348],
10772  [-0.80352234624, -0.49353432273, -0.33282985348],
10773  [ 0.80352234624, 0.17212538424, 0.33282985348],
10774  [-0.33282985348, 0.17212538424, -0.80352234624],
10775  [ 0.80352234624, -0.49353432273, 0.33282985348],
10776  [ 0.80352234624, 0.17212538424, -0.33282985348],
10777  [ 0.33282985348, 0.17212538424, -0.80352234624],
10778  [-0.33282985348, -0.49353432273, -0.80352234624],
10779  [ 0.80352234624, -0.49353432273, -0.33282985348],
10780  [ 0.33282985348, -0.49353432273, -0.80352234624]
10781  ],
10782  [
10783  [0.88659518394, 152.65392550023, 25.00088274745],
10784  [0.79672218855, 117.37362787137, 65.30744968158],
10785  [0.88659518394, 167.90919548879, 67.95082162559],
10786  [0.88659518394, 27.34607449974, 25.00088274746],
10787  [1.00000000000, -123.99495287766, 36.53220956805],
10788  [0.79672218855, 62.62637212861, 65.30744968159],
10789  [1.00000000000, -148.44118967741, 70.55937362985],
10790  [0.79672218855, 117.37362787138, 114.69255031840],
10791  [0.88659518394, 167.90919548879, 112.04917837437],
10792  [1.00000000000, -56.00504712230, 36.53220956806],
10793  [0.79672218855, 62.62637212862, 114.69255031841],
10794  [1.00000000000, -148.44118967742, 109.44062637012],
10795  [0.88659518394, 12.09080451120, 67.95082162561],
10796  [0.88659518394, 152.65392550025, 154.99911725252],
10797  [1.00000000000, -31.55881032258, 70.55937362987],
10798  [0.88659518394, 12.09080451120, 112.04917837440],
10799  [0.88659518394, 27.34607449977, 154.99911725255],
10800  [1.00000000000, -123.99495287769, 143.46779043193],
10801  [1.00000000000, -31.55881032258, 109.44062637014],
10802  [1.00000000000, -56.00504712233, 143.46779043193]
10803  ],
10804  [
10805  [19,17,11,6,4,9,14,18],
10806  [0,4,6,2],
10807  [3,9,4,0],
10808  [12,14,9,3],
10809  [15,18,14,12],
10810  [16,19,18,15],
10811  [13,17,19,16],
10812  [8,11,17,13],
10813  [2,6,11,8],
10814  [1,7,10,5],
10815  [15,12,5,10],
10816  [16,15,10],
10817  [13,16,10,7],
10818  [8,13,7],
10819  [2,8,7,1],
10820  [0,2,1],
10821  [3,0,1,5],
10822  [12,3,5]
10823  ],
10824  [
10825  [0,1],
10826  [0,2],
10827  [0,3],
10828  [0,4],
10829  [1,2],
10830  [1,5],
10831  [1,7],
10832  [2,6],
10833  [2,8],
10834  [3,5],
10835  [3,9],
10836  [3,12],
10837  [4,6],
10838  [4,9],
10839  [5,10],
10840  [5,12],
10841  [6,11],
10842  [7,8],
10843  [7,10],
10844  [7,13],
10845  [8,11],
10846  [8,13],
10847  [9,14],
10848  [10,15],
10849  [10,16],
10850  [11,17],
10851  [12,14],
10852  [12,15],
10853  [13,16],
10854  [13,17],
10855  [14,18],
10856  [15,16],
10857  [15,18],
10858  [16,19],
10859  [17,19],
10860  [18,19]
10861  ]
10862  ],
10863  [
10864  "johnson_elongated_square_dipyramid",
10865  "Elongated Square Dipyramid",
10866  "J15",
10867  "johnson",
10868  "Polyhedron Database #59",
10869  [
10870  [-0.41421356237, 0.41421356237, -0.41421356237],
10871  [-0.41421356237, 0.41421356237, 0.41421356237],
10872  [ 0.00000000000, 1.00000000000, 0.00000000000],
10873  [-0.41421356237, -0.41421356237, -0.41421356237],
10874  [-0.41421356237, -0.41421356237, 0.41421356237],
10875  [ 0.41421356237, 0.41421356237, -0.41421356237],
10876  [ 0.41421356237, 0.41421356237, 0.41421356237],
10877  [-0.00000000000, -1.00000000000, 0.00000000000],
10878  [ 0.41421356237, -0.41421356237, -0.41421356237],
10879  [ 0.41421356237, -0.41421356237, 0.41421356237]
10880  ],
10881  [
10882  [0.71743893521, 134.99999999999, 125.26438968275],
10883  [0.71743893521, 134.99999999999, 54.73561031724],
10884  [1.00000000000, 89.99999999999, 89.99999999999],
10885  [0.71743893521, -134.99999999999, 125.26438968275],
10886  [0.71743893521, -134.99999999999, 54.73561031724],
10887  [0.71743893521, 45.00000000000, 125.26438968275],
10888  [0.71743893521, 45.00000000000, 54.73561031724],
10889  [1.00000000000, -89.99999999999, 89.99999999999],
10890  [0.71743893521, -45.00000000000, 125.26438968275],
10891  [0.71743893521, -45.00000000000, 54.73561031724]
10892  ],
10893  [
10894  [6,5,8,9],
10895  [7,9,8],
10896  [2,5,6],
10897  [5,0,3,8],
10898  [7,8,3],
10899  [2,0,5],
10900  [0,1,4,3],
10901  [7,3,4],
10902  [2,1,0],
10903  [1,6,9,4],
10904  [7,4,9],
10905  [2,6,1]
10906  ],
10907  [
10908  [0,1],
10909  [0,2],
10910  [0,3],
10911  [0,5],
10912  [1,2],
10913  [1,4],
10914  [1,6],
10915  [2,5],
10916  [2,6],
10917  [3,4],
10918  [3,7],
10919  [3,8],
10920  [4,7],
10921  [4,9],
10922  [5,6],
10923  [5,8],
10924  [6,9],
10925  [7,8],
10926  [7,9],
10927  [8,9]
10928  ]
10929  ],
10930  [
10931  "johnson_elongated_square_gyrobicupola",
10932  "Elongated Square Gyrobicupola",
10933  "J37",
10934  "johnson",
10935  "George W. Hart, Jan 1996. george@li.net",
10936  [
10937  [-0.86285600000, 0.35740700000, 0.35740700000],
10938  [-0.86285600000, 0.35740700000, -0.35740700000],
10939  [-0.35740700000, 0.35740700000, 0.86285600000],
10940  [-0.35740700000, 0.86285600000, 0.35740700000],
10941  [-0.35740700000, 0.86285600000, -0.35740700000],
10942  [-0.35740700000, 0.35740700000, -0.86285600000],
10943  [ 0.35740700000, 0.35740700000, 0.86285600000],
10944  [ 0.35740700000, 0.86285600000, 0.35740700000],
10945  [ 0.35740700000, 0.86285600000, -0.35740700000],
10946  [ 0.35740700000, 0.35740700000, -0.86285600000],
10947  [ 0.86285600000, 0.35740700000, 0.35740700000],
10948  [ 0.86285600000, 0.35740700000, -0.35740700000],
10949  [ 0.86285600000, -0.35740700000, 0.35740700000],
10950  [ 0.86285600000, -0.35740700000, -0.35740700000],
10951  [ 0.35740700000, -0.35740700000, 0.86285600000],
10952  [ 0.50544900000, -0.86285600000, 0.00000000000],
10953  [ 0.35740700000, -0.35740700000, -0.86285600000],
10954  [ 0.00000000000, -0.86285600000, 0.50544900000],
10955  [ 0.00000000000, -0.86285600000, -0.50544900000],
10956  [-0.35740700000, -0.35740700000, 0.86285600000],
10957  [-0.50544900000, -0.86285600000, 0.00000000000],
10958  [-0.35740700000, -0.35740700000, -0.86285600000],
10959  [-0.86285600000, -0.35740700000, 0.35740700000],
10960  [-0.86285600000, -0.35740700000, -0.35740700000]
10961  ],
10962  [
10963  [1.00000000202, 157.49998059201, 69.05896388757],
10964  [1.00000000202, 157.49998059201, 110.94103611242],
10965  [1.00000000202, 134.99999999999, 30.36121734578],
10966  [1.00000000202, 112.50001940798, 69.05896388757],
10967  [1.00000000202, 112.50001940798, 110.94103611242],
10968  [1.00000000202, 134.99999999999, 149.63878265421],
10969  [1.00000000202, 45.00000000000, 30.36121734578],
10970  [1.00000000202, 67.49998059201, 69.05896388757],
10971  [1.00000000202, 67.49998059201, 110.94103611242],
10972  [1.00000000202, 45.00000000000, 149.63878265421],
10973  [1.00000000202, 22.50001940798, 69.05896388757],
10974  [1.00000000202, 22.50001940798, 110.94103611242],
10975  [1.00000000202, -22.50001940798, 69.05896388757],
10976  [1.00000000202, -22.50001940798, 110.94103611242],
10977  [1.00000000202, -45.00000000000, 30.36121734578],
10978  [0.99999958417, -59.63882352400, 89.99999999999],
10979  [1.00000000202, -45.00000000000, 149.63878265421],
10980  [0.99999958417, -89.99999999999, 59.63882352400],
10981  [0.99999958417, -89.99999999999, 120.36117647599],
10982  [1.00000000202, -134.99999999999, 30.36121734578],
10983  [0.99999958417, -120.36117647599, 89.99999999999],
10984  [1.00000000202, -134.99999999999, 149.63878265421],
10985  [1.00000000202, -157.49998059201, 69.05896388757],
10986  [1.00000000202, -157.49998059201, 110.94103611242]
10987  ],
10988  [
10989  [0,3,2],
10990  [1,5,4],
10991  [6,7,10],
10992  [8,9,11],
10993  [12,13,15],
10994  [14,17,19],
10995  [16,21,18],
10996  [20,23,22],
10997  [0,1,4,3],
10998  [2,3,7,6],
10999  [3,4,8,7],
11000  [4,5,9,8],
11001  [7,8,11,10],
11002  [12,15,17,14],
11003  [13,16,18,15],
11004  [15,18,20,17],
11005  [17,20,22,19],
11006  [18,21,23,20],
11007  [0,2,19,22],
11008  [2,6,14,19],
11009  [6,10,12,14],
11010  [10,11,13,12],
11011  [9,16,13,11],
11012  [5,21,16,9],
11013  [1,23,21,5],
11014  [0,22,23,1]
11015  ],
11016  [
11017  [0,1],
11018  [0,2],
11019  [0,3],
11020  [0,22],
11021  [1,4],
11022  [1,5],
11023  [1,23],
11024  [2,3],
11025  [2,6],
11026  [2,19],
11027  [3,4],
11028  [3,7],
11029  [4,5],
11030  [4,8],
11031  [5,9],
11032  [5,21],
11033  [6,7],
11034  [6,10],
11035  [6,14],
11036  [7,8],
11037  [7,10],
11038  [8,9],
11039  [8,11],
11040  [9,11],
11041  [9,16],
11042  [10,11],
11043  [10,12],
11044  [11,13],
11045  [12,13],
11046  [12,14],
11047  [12,15],
11048  [13,15],
11049  [13,16],
11050  [14,17],
11051  [14,19],
11052  [15,17],
11053  [15,18],
11054  [16,18],
11055  [16,21],
11056  [17,19],
11057  [17,20],
11058  [18,20],
11059  [18,21],
11060  [19,22],
11061  [20,22],
11062  [20,23],
11063  [21,23],
11064  [22,23]
11065  ]
11066  ],
11067  [
11068  "johnson_elongated_square_pyramid",
11069  "Elongated Square Pyramid",
11070  "J8",
11071  "johnson",
11072  "Polyhedron Database #52",
11073  [
11074  [ 0.46599025767, -0.59099025767, -0.46599025767],
11075  [ 0.46599025767, -0.59099025767, 0.46599025767],
11076  [-0.46599025767, -0.59099025767, -0.46599025767],
11077  [-0.46599025767, -0.59099025767, 0.46599025767],
11078  [ 0.46599025767, 0.34099025767, -0.46599025767],
11079  [ 0.46599025767, 0.34099025767, 0.46599025767],
11080  [-0.46599025767, 0.34099025767, -0.46599025767],
11081  [-0.46599025767, 0.34099025767, 0.46599025767],
11082  [-0.00000000000, 1.00000000000, 0.00000000000]
11083  ],
11084  [
11085  [0.88519112351, -51.74455319034, 121.76449119291],
11086  [0.88519112351, -51.74455319034, 58.23550880708],
11087  [0.88519112351, -128.25544680965, 121.76449119291],
11088  [0.88519112351, -128.25544680965, 58.23550880708],
11089  [0.74200282770, 36.19495113046, 128.90395833721],
11090  [0.74200282770, 36.19495113046, 51.09604166278],
11091  [0.74200282770, 143.80504886953, 128.90395833721],
11092  [0.74200282770, 143.80504886953, 51.09604166278],
11093  [1.00000000000, 89.99999999999, 89.99999999999]
11094  ],
11095  [
11096  [0,2,3,1],
11097  [5,1,3,7],
11098  [5,7,8],
11099  [4,0,1,5],
11100  [4,5,8],
11101  [6,2,0,4],
11102  [6,4,8],
11103  [7,3,2,6],
11104  [7,6,8]
11105  ],
11106  [
11107  [0,1],
11108  [0,2],
11109  [0,4],
11110  [1,3],
11111  [1,5],
11112  [2,3],
11113  [2,6],
11114  [3,7],
11115  [4,5],
11116  [4,6],
11117  [4,8],
11118  [5,7],
11119  [5,8],
11120  [6,7],
11121  [6,8],
11122  [7,8]
11123  ]
11124  ],
11125  [
11126  "johnson_elongated_triangular_cupola",
11127  "Elongated Triangular Cupola",
11128  "J18",
11129  "johnson",
11130  "Polyhedron Database #62",
11131  [
11132  [-0.39744851381, 0.18815267000, 0.68840101930],
11133  [ 0.39744851381, 0.18815267000, 0.68840101930],
11134  [-0.39744851381, 0.83718337523, 0.22946700643],
11135  [-0.39744851381, -0.60674435761, 0.68840101930],
11136  [ 0.39744851381, 0.83718337523, 0.22946700643],
11137  [ 0.39744851381, -0.60674435761, 0.68840101930],
11138  [-0.79489702761, 0.18815267000, -0.00000000000],
11139  [-0.79489702761, -0.60674435761, 0.00000000000],
11140  [ 0.79489702761, 0.18815267000, -0.00000000000],
11141  [ 0.00000000000, 0.83718337523, -0.45893401287],
11142  [ 0.79489702761, -0.60674435761, 0.00000000000],
11143  [-0.39744851381, 0.18815267000, -0.68840101930],
11144  [ 0.39744851381, 0.18815267000, -0.68840101930],
11145  [-0.39744851381, -0.60674435761, -0.68840101930],
11146  [ 0.39744851381, -0.60674435761, -0.68840101930]
11147  ],
11148  [
11149  [0.81686150095, 154.66706138696, 32.56951168616],
11150  [0.81686150095, 25.33293861303, 32.56951168616],
11151  [0.95472322268, 115.39579012297, 76.09284596359],
11152  [1.00000000000, -123.22684459476, 46.49633140652],
11153  [0.95472322268, 64.60420987700, 76.09284596359],
11154  [1.00000000000, -56.77315540524, 46.49633140652],
11155  [0.81686150095, 166.68314145253, 89.99999999999],
11156  [1.00000000000, -142.64553072758, 89.99999999999],
11157  [0.81686150095, 13.31685854744, 89.99999999999],
11158  [0.95472322268, 89.99999999999, 118.73103152952],
11159  [1.00000000000, -37.35446927244, 89.99999999999],
11160  [0.81686150095, 154.66706138695, 147.43048831383],
11161  [0.81686150095, 25.33293861300, 147.43048831382],
11162  [1.00000000000, -123.22684459476, 133.50366859346],
11163  [1.00000000000, -56.77315540525, 133.50366859346]
11164  ],
11165  [
11166  [13,7,3,5,10,14],
11167  [1,5,3,0],
11168  [8,10,5,1],
11169  [12,14,10,8],
11170  [11,13,14,12],
11171  [6,7,13,11],
11172  [0,3,7,6],
11173  [2,9,4],
11174  [12,8,4,9],
11175  [11,12,9],
11176  [6,11,9,2],
11177  [0,6,2],
11178  [1,0,2,4],
11179  [8,1,4]
11180  ],
11181  [
11182  [0,1],
11183  [0,2],
11184  [0,3],
11185  [0,6],
11186  [1,4],
11187  [1,5],
11188  [1,8],
11189  [2,4],
11190  [2,6],
11191  [2,9],
11192  [3,5],
11193  [3,7],
11194  [4,8],
11195  [4,9],
11196  [5,10],
11197  [6,7],
11198  [6,11],
11199  [7,13],
11200  [8,10],
11201  [8,12],
11202  [9,11],
11203  [9,12],
11204  [10,14],
11205  [11,12],
11206  [11,13],
11207  [12,14],
11208  [13,14]
11209  ]
11210  ],
11211  [
11212  "johnson_elongated_triangular_dipyramid",
11213  "Elongated Triangular Dipyramid",
11214  "J14",
11215  "johnson",
11216  "Polyhedron Database #58",
11217  [
11218  [-0.37979589711, 0.37979589711, 0.21927526344],
11219  [ 0.00000000000, 1.00000000000, 0.00000000000],
11220  [-0.37979589711, -0.37979589711, 0.21927526344],
11221  [-0.00000000000, 0.37979589711, -0.43855052687],
11222  [ 0.00000000000, -0.37979589711, -0.43855052687],
11223  [ 0.37979589711, 0.37979589711, 0.21927526344],
11224  [-0.00000000000, -1.00000000000, 0.00000000000],
11225  [ 0.37979589711, -0.37979589711, 0.21927526344]
11226  ],
11227  [
11228  [0.58014781572, 134.99999999999, 67.79234570140],
11229  [1.00000000000, 89.99999999999, 89.99999999999],
11230  [0.58014781572, -134.99999999999, 67.79234570140],
11231  [0.58014781572, 89.99999999999, 139.10660535086],
11232  [0.58014781572, -89.99999999999, 139.10660535086],
11233  [0.58014781572, 45.00000000000, 67.79234570140],
11234  [1.00000000000, -89.99999999999, 89.99999999999],
11235  [0.58014781572, -45.00000000000, 67.79234570140]
11236  ],
11237  [
11238  [5,3,4,7],
11239  [6,7,4],
11240  [1,3,5],
11241  [3,0,2,4],
11242  [6,4,2],
11243  [1,0,3],
11244  [0,5,7,2],
11245  [6,2,7],
11246  [1,5,0]
11247  ],
11248  [
11249  [0,1],
11250  [0,2],
11251  [0,3],
11252  [0,5],
11253  [1,3],
11254  [1,5],
11255  [2,4],
11256  [2,6],
11257  [2,7],
11258  [3,4],
11259  [3,5],
11260  [4,6],
11261  [4,7],
11262  [5,7],
11263  [6,7]
11264  ]
11265  ],
11266  [
11267  "johnson_elongated_triangular_gyrobicupola",
11268  "Elongated Triangular gyrobicupola",
11269  "J36",
11270  "johnson",
11271  "Polyhedron Database #80",
11272  [
11273  [-0.69563696953, 0.34781848477, -0.00000000000],
11274  [-0.69563696953, -0.34781848477, -0.00000000000],
11275  [-0.34781848477, 0.34781848477, 0.60243928743],
11276  [-0.34781848477, 0.91580369196, 0.20081309581],
11277  [-0.34781848477, -0.34781848477, 0.60243928743],
11278  [-0.34781848477, 0.34781848477, -0.60243928743],
11279  [-0.34781848477, -0.91580369196, -0.20081309581],
11280  [-0.34781848477, -0.34781848477, -0.60243928743],
11281  [ 0.00000000000, -0.91580369196, 0.40162619162],
11282  [-0.00000000000, 0.91580369196, -0.40162619162],
11283  [ 0.34781848477, 0.34781848477, 0.60243928743],
11284  [ 0.34781848477, 0.91580369196, 0.20081309581],
11285  [ 0.34781848477, -0.34781848477, 0.60243928743],
11286  [ 0.34781848477, 0.34781848477, -0.60243928743],
11287  [ 0.34781848477, -0.91580369196, -0.20081309581],
11288  [ 0.34781848477, -0.34781848477, -0.60243928743],
11289  [ 0.69563696953, 0.34781848477, 0.00000000000],
11290  [ 0.69563696953, -0.34781848477, 0.00000000000]
11291  ],
11292  [
11293  [0.77774577577, 153.43494882292, 90.00000000000],
11294  [0.77774577577, -153.43494882291, 89.99999999999],
11295  [0.77774577577, 135.00000000002, 39.23152048360],
11296  [1.00000000000, 110.79657166067, 78.41548931875],
11297  [0.77774577577, -135.00000000000, 39.23152048359],
11298  [0.77774577577, 134.99999999998, 140.76847951640],
11299  [1.00000000000, -110.79657166066, 101.58451068125],
11300  [0.77774577577, -134.99999999997, 140.76847951640],
11301  [1.00000000000, -89.99999999999, 66.32012099849],
11302  [1.00000000000, 89.99999999999, 113.67987900150],
11303  [0.77774577577, 45.00000000001, 39.23152048359],
11304  [1.00000000000, 69.20342833933, 78.41548931874],
11305  [0.77774577577, -45.00000000001, 39.23152048359],
11306  [0.77774577577, 44.99999999999, 140.76847951639],
11307  [1.00000000000, -69.20342833932, 101.58451068124],
11308  [0.77774577577, -44.99999999997, 140.76847951639],
11309  [0.77774577577, 26.56505117708, 89.99999999999],
11310  [0.77774577577, -26.56505117707, 89.99999999999]
11311  ],
11312  [
11313  [9,11,3],
11314  [10,2,3,11],
11315  [16,10,11],
11316  [13,16,11,9],
11317  [5,13,9],
11318  [0,5,9,3],
11319  [2,0,3],
11320  [6,8,14],
11321  [12,17,14,8],
11322  [4,12,8],
11323  [1,4,8,6],
11324  [7,1,6],
11325  [15,7,6,14],
11326  [17,15,14],
11327  [0,1,7,5],
11328  [2,4,1,0],
11329  [10,12,4,2],
11330  [16,17,12,10],
11331  [13,15,17,16],
11332  [5,7,15,13]
11333  ],
11334  [
11335  [0,1],
11336  [0,2],
11337  [0,3],
11338  [0,5],
11339  [1,4],
11340  [1,6],
11341  [1,7],
11342  [2,3],
11343  [2,4],
11344  [2,10],
11345  [3,9],
11346  [3,11],
11347  [4,8],
11348  [4,12],
11349  [5,7],
11350  [5,9],
11351  [5,13],
11352  [6,7],
11353  [6,8],
11354  [6,14],
11355  [7,15],
11356  [8,12],
11357  [8,14],
11358  [9,11],
11359  [9,13],
11360  [10,11],
11361  [10,12],
11362  [10,16],
11363  [11,16],
11364  [12,17],
11365  [13,15],
11366  [13,16],
11367  [14,15],
11368  [14,17],
11369  [15,17],
11370  [16,17]
11371  ]
11372  ],
11373  [
11374  "johnson_elongated_triangular_orthobicupola",
11375  "Elongated Triangular Orthobicupola",
11376  "J35",
11377  "johnson",
11378  "Polyhedron Database #79",
11379  [
11380  [-0.34781848477, -0.00000000000, 0.69563696953],
11381  [-0.91580369196, -0.20081309581, 0.34781848477],
11382  [-0.34781848477, -0.60243928743, 0.34781848477],
11383  [ 0.34781848477, 0.00000000000, 0.69563696953],
11384  [-0.34781848477, 0.60243928743, 0.34781848477],
11385  [-0.91580369196, 0.40162619162, 0.00000000000],
11386  [ 0.34781848477, -0.60243928743, 0.34781848477],
11387  [ 0.34781848477, 0.60243928743, 0.34781848477],
11388  [-0.91580369196, -0.20081309581, -0.34781848477],
11389  [ 0.91580369196, -0.20081309581, 0.34781848477],
11390  [-0.34781848477, -0.60243928743, -0.34781848477],
11391  [-0.34781848477, 0.60243928743, -0.34781848477],
11392  [ 0.91580369196, 0.40162619162, 0.00000000000],
11393  [ 0.34781848477, -0.60243928743, -0.34781848477],
11394  [-0.34781848477, -0.00000000000, -0.69563696953],
11395  [ 0.34781848477, 0.60243928743, -0.34781848477],
11396  [ 0.91580369196, -0.20081309581, -0.34781848477],
11397  [ 0.34781848477, 0.00000000000, -0.69563696953]
11398  ],
11399  [
11400  [0.77774577577, -179.99999999997, 26.56505117707],
11401  [1.00000000000, -167.63219484137, 69.64605818337],
11402  [0.77774577577, -119.99999999999, 63.43494882292],
11403  [0.77774577577, 0.00000000002, 26.56505117708],
11404  [0.77774577577, 119.99999999999, 63.43494882292],
11405  [1.00000000000, 156.32012099849, 89.99999999999],
11406  [0.77774577577, -60.00000000000, 63.43494882291],
11407  [0.77774577577, 60.00000000000, 63.43494882292],
11408  [1.00000000000, -167.63219484136, 110.35394181662],
11409  [1.00000000000, -12.36780515862, 69.64605818337],
11410  [0.77774577577, -119.99999999999, 116.56505117707],
11411  [0.77774577577, 119.99999999999, 116.56505117707],
11412  [1.00000000000, 23.67987900150, 89.99999999999],
11413  [0.77774577577, -60.00000000000, 116.56505117707],
11414  [0.77774577577, -179.99999999997, 153.43494882291],
11415  [0.77774577577, 60.00000000000, 116.56505117707],
11416  [1.00000000000, -12.36780515862, 110.35394181661],
11417  [0.77774577577, 0.00000000002, 153.43494882292]
11418  ],
11419  [
11420  [12,16,9],
11421  [13,6,9,16],
11422  [17,13,16],
11423  [15,17,16,12],
11424  [7,15,12],
11425  [3,7,12,9],
11426  [6,3,9],
11427  [5,1,8],
11428  [2,10,8,1],
11429  [0,2,1],
11430  [4,0,1,5],
11431  [11,4,5],
11432  [14,11,5,8],
11433  [10,14,8],
11434  [3,0,4,7],
11435  [6,2,0,3],
11436  [13,10,2,6],
11437  [17,14,10,13],
11438  [15,11,14,17],
11439  [7,4,11,15]
11440  ],
11441  [
11442  [0,1],
11443  [0,2],
11444  [0,3],
11445  [0,4],
11446  [1,2],
11447  [1,5],
11448  [1,8],
11449  [2,6],
11450  [2,10],
11451  [3,6],
11452  [3,7],
11453  [3,9],
11454  [4,5],
11455  [4,7],
11456  [4,11],
11457  [5,8],
11458  [5,11],
11459  [6,9],
11460  [6,13],
11461  [7,12],
11462  [7,15],
11463  [8,10],
11464  [8,14],
11465  [9,12],
11466  [9,16],
11467  [10,13],
11468  [10,14],
11469  [11,14],
11470  [11,15],
11471  [12,15],
11472  [12,16],
11473  [13,16],
11474  [13,17],
11475  [14,17],
11476  [15,17],
11477  [16,17]
11478  ]
11479  ],
11480  [
11481  "johnson_elongated_triangular_pyramid",
11482  "Elongated Triangular Pyramid",
11483  "J7",
11484  "johnson",
11485  "Polyhedron Database #51",
11486  [
11487  [ 0.00000000000, -0.60976187997, -0.51164228135],
11488  [ 0.00000000000, 0.27642854663, -0.51164228135],
11489  [ 0.44309521330, -0.60976187997, 0.25582114067],
11490  [ 0.44309521330, 0.27642854663, 0.25582114067],
11491  [-0.44309521330, -0.60976187997, 0.25582114067],
11492  [ 0.00000000000, 1.00000000000, 0.00000000000],
11493  [-0.44309521330, 0.27642854663, 0.25582114067]
11494  ],
11495  [
11496  [0.79598201884, -89.99999999999, 129.99952097856],
11497  [0.58154154233, 89.99999999999, 151.61866820813],
11498  [0.79598201884, -53.99524781249, 71.25295650495],
11499  [0.58154154233, 31.95831192805, 63.90238759393],
11500  [0.79598201884, -126.00475218750, 71.25295650495],
11501  [1.00000000000, 89.99999999999, 89.99999999999],
11502  [0.58154154233, 148.04168807192, 63.90238759393]
11503  ],
11504  [
11505  [4,2,0],
11506  [1,0,2,3],
11507  [1,3,5],
11508  [6,4,0,1],
11509  [6,1,5],
11510  [3,2,4,6],
11511  [3,6,5]
11512  ],
11513  [
11514  [0,1],
11515  [0,2],
11516  [0,4],
11517  [1,3],
11518  [1,5],
11519  [1,6],
11520  [2,3],
11521  [2,4],
11522  [3,5],
11523  [3,6],
11524  [4,6],
11525  [5,6]
11526  ]
11527  ],
11528  [
11529  "johnson_gyrate_bidiminished_rhombicosidodecahedron",
11530  "Gyrate Bidiminished Rhombicosidodecahedron",
11531  "J82",
11532  "johnson",
11533  "Polyhedron Database #126",
11534  [
11535  [-0.79612575929, -0.11336310844, 0.25867693987],
11536  [-0.66947058787, 0.23528866771, 0.43300282795],
11537  [-0.59119338708, -0.32884175635, 0.54074215190],
11538  [-0.46453821566, 0.01981001981, 0.71506803998],
11539  [-0.83113238770, 0.07936685332, -0.10134917936],
11540  [-0.79612575929, -0.32884175635, -0.08997483629],
11541  [-0.70447721628, 0.42801862948, 0.07297670872],
11542  [-0.46453821566, -0.67749353251, 0.36641626382],
11543  [-0.25960584345, -0.32884175635, 0.78165460411],
11544  [-0.46453821566, 0.58394044387, 0.36641626382],
11545  [-0.59119338708, -0.67749353251, -0.02338827216],
11546  [-0.13295067202, 0.23528866771, 0.82280736393],
11547  [-0.70447721628, 0.07936685332, -0.49115371534],
11548  [-0.66947058787, -0.32884175635, -0.47977937227],
11549  [-0.13295067202, -0.67749353251, 0.60732871603],
11550  [-0.13295067202, 0.58394044387, 0.60732871603],
11551  [-0.49954484407, 0.64349727738, -0.20908850331],
11552  [ 0.07198170019, -0.11336310845, 0.88939392806],
11553  [-0.46453821566, -0.67749353251, -0.41319280814],
11554  [-0.25960584345, 0.79941909177, 0.08435105179],
11555  [-0.49954484407, 0.42801862948, -0.55774027947],
11556  [-0.46453821566, -0.11336310844, -0.76184458430],
11557  [ 0.27691407240, 0.23528866771, 0.82280736393],
11558  [ 0.07198170019, 0.79941909177, 0.32526350400],
11559  [ 0.27691407240, -0.67749353251, 0.60732871603],
11560  [ 0.27691407240, 0.58394044387, 0.60732871603],
11561  [ 0.40356924382, -0.32884175635, 0.78165460411],
11562  [-0.13295067202, 0.79941909177, -0.30545348419],
11563  [-0.25960584345, 0.23528866771, -0.82843114843],
11564  [-0.13295067202, -0.67749353251, -0.65410526035],
11565  [-0.13295067202, 0.58394044387, -0.65410526035],
11566  [-0.13295067202, -0.32884175635, -0.86958390825],
11567  [ 0.60850161603, 0.01981001981, 0.71506803998],
11568  [ 0.40356924382, 0.79941909177, 0.08435105179],
11569  [ 0.60850161603, -0.67749353251, 0.36641626382],
11570  [ 0.27691407240, 0.79941909177, -0.30545348419],
11571  [ 0.60850161603, 0.58394044387, 0.36641626382],
11572  [ 0.73515678745, -0.32884175635, 0.54074215190],
11573  [ 0.07198170019, 0.01981001981, -0.93617047238],
11574  [ 0.27691407240, -0.67749353251, -0.65410526035],
11575  [ 0.27691407240, 0.58394044387, -0.65410526035],
11576  [ 0.81343398824, 0.23528866771, 0.43300282795],
11577  [ 0.27691407240, -0.32884175635, -0.86958390825],
11578  [ 0.73515678745, -0.67749353251, -0.02338827216],
11579  [ 0.60850161603, -0.67749353251, -0.41319280814],
11580  [ 0.40356924382, 0.23528866771, -0.82843114843],
11581  [ 0.94008915966, -0.11336310845, 0.25867693987],
11582  [ 0.60850161603, -0.11336310844, -0.76184458430],
11583  [ 0.94008915966, -0.32884175635, -0.08997483629],
11584  [ 0.81343398824, -0.32884175635, -0.47977937227]
11585  ],
11586  [
11587  [0.84473734272, -171.89593457093, 72.16831812031],
11588  [0.83129000607, 160.63572888912, 58.60866178300],
11589  [0.86605346053, -150.91570823295, 51.36366929030],
11590  [0.85294225625, 177.55812719079, 33.03322781967],
11591  [0.84104209137, 174.54522686018, 96.92120742169],
11592  [0.86605346053, -157.55680376221, 95.96325455843],
11593  [0.82753470952, 148.71842507240, 84.94076100373],
11594  [0.89947435694, -124.43733388196, 65.96045265335],
11595  [0.88685738132, -128.28951171496, 28.19123079339],
11596  [0.83129000607, 128.50306555186, 63.84632162628],
11597  [0.89947435694, -131.10855239305, 91.48998170361],
11598  [0.86605346053, 119.46876936925, 18.18288150231],
11599  [0.86244954505, 173.57212452891, 124.71445327691],
11600  [0.88685738132, -153.83988066566, 122.75093479887],
11601  [0.91952245057, -101.10258355925, 48.66329961924],
11602  [0.85294225625, 102.82637014166, 44.59888890325],
11603  [0.84104209137, 127.82207342079, 104.39506542626],
11604  [0.89947435694, -57.58584792520, 8.58596617930],
11605  [0.91952245057, -124.43733388197, 116.70236456372],
11606  [0.84473734272, 107.99084811856, 84.26919253434],
11607  [0.86244954505, 139.40946233766, 130.29274684595],
11608  [0.89947435694, -166.28592578126, 147.88563501278],
11609  [0.89947435694, 40.35392897533, 23.82767074809],
11610  [0.86605346053, 84.85481947589, 67.94046716716],
11611  [0.95106627497, -67.76853747710, 50.31423441003],
11612  [0.88685738132, 64.62892993778, 46.77934117875],
11613  [0.93914267042, -39.17430281628, 33.66358843717],
11614  [0.86605346053, 99.44238786019, 110.65229588034],
11615  [0.89947435694, 137.81302751516, 157.07521199724],
11616  [0.95106627497, -101.10258355926, 133.45304725996],
11617  [0.88685738132, 102.82637014164, 137.52347354156],
11618  [0.93914267042, -112.01347609137, 157.80958253688],
11619  [0.93914267042, 1.86462905416, 40.41177254627],
11620  [0.89947435694, 63.21407138989, 84.61900031570],
11621  [0.98159695481, -48.07089785435, 68.08159189905],
11622  [0.89947435694, 70.89421531419, 109.85196349555],
11623  [0.91952245057, 43.82002439110, 66.51647291458],
11624  [0.97004869862, -24.09936572679, 56.12118676306],
11625  [0.93914267042, 15.38738952758, 175.44041496423],
11626  [0.98159695481, -67.76853747708, 131.78739646551],
11627  [0.91952245057, 64.62892993780, 135.34512433191],
11628  [0.95106627497, 16.13270043691, 62.91695564466],
11629  [0.97004869862, -49.89963289594, 153.69312390164],
11630  [1.00000000000, -42.66252981734, 91.34017148525],
11631  [1.00000000000, -48.07089785433, 114.40556045558],
11632  [0.95106627497, 30.24301168600, 150.58148371072],
11633  [0.98159695481, -6.87596095408, 74.72057657713],
11634  [0.98159695481, -10.55315342486, 140.90738566729],
11635  [1.00000000000, -19.27975923521, 95.16215944299],
11636  [1.00000000000, -22.01169124502, 118.67099346243]
11637  ],
11638  [
11639  [25,23,33,36],
11640  [15,23,25],
11641  [15,9,19,23],
11642  [23,19,27,35,33],
11643  [19,16,27],
11644  [9,6,16,19],
11645  [27,16,20,30],
11646  [20,28,30],
11647  [20,12,21,28],
11648  [16,6,4,12,20],
11649  [12,13,21],
11650  [4,5,13,12],
11651  [22,11,15,25],
11652  [17,11,22],
11653  [17,8,3,11],
11654  [11,3,1,9,15],
11655  [8,2,3],
11656  [14,7,2,8],
11657  [3,2,0,1],
11658  [1,6,9],
11659  [1,0,4,6],
11660  [2,7,10,5,0],
11661  [0,5,4],
11662  [10,18,13,5],
11663  [32,26,17,22],
11664  [37,26,32],
11665  [37,34,24,26],
11666  [26,24,14,8,17],
11667  [39,29,18,10,7,14,24,34,43,44],
11668  [41,46,37,32],
11669  [36,33,35,40,45,47,49,48,46,41],
11670  [46,48,43,34,37],
11671  [48,49,44,43],
11672  [49,47,42,39,44],
11673  [42,31,29,39],
11674  [27,30,40,35],
11675  [45,38,42,47],
11676  [40,30,28,38,45],
11677  [38,31,42],
11678  [28,21,31,38],
11679  [41,32,22,25,36],
11680  [21,13,18,29,31]
11681  ],
11682  [
11683  [0,1],
11684  [0,2],
11685  [0,4],
11686  [0,5],
11687  [1,3],
11688  [1,6],
11689  [1,9],
11690  [2,3],
11691  [2,7],
11692  [2,8],
11693  [3,8],
11694  [3,11],
11695  [4,5],
11696  [4,6],
11697  [4,12],
11698  [5,10],
11699  [5,13],
11700  [6,9],
11701  [6,16],
11702  [7,10],
11703  [7,14],
11704  [8,14],
11705  [8,17],
11706  [9,15],
11707  [9,19],
11708  [10,18],
11709  [11,15],
11710  [11,17],
11711  [11,22],
11712  [12,13],
11713  [12,20],
11714  [12,21],
11715  [13,18],
11716  [13,21],
11717  [14,24],
11718  [15,23],
11719  [15,25],
11720  [16,19],
11721  [16,20],
11722  [16,27],
11723  [17,22],
11724  [17,26],
11725  [18,29],
11726  [19,23],
11727  [19,27],
11728  [20,28],
11729  [20,30],
11730  [21,28],
11731  [21,31],
11732  [22,25],
11733  [22,32],
11734  [23,25],
11735  [23,33],
11736  [24,26],
11737  [24,34],
11738  [25,36],
11739  [26,32],
11740  [26,37],
11741  [27,30],
11742  [27,35],
11743  [28,30],
11744  [28,38],
11745  [29,31],
11746  [29,39],
11747  [30,40],
11748  [31,38],
11749  [31,42],
11750  [32,37],
11751  [32,41],
11752  [33,35],
11753  [33,36],
11754  [34,37],
11755  [34,43],
11756  [35,40],
11757  [36,41],
11758  [37,46],
11759  [38,42],
11760  [38,45],
11761  [39,42],
11762  [39,44],
11763  [40,45],
11764  [41,46],
11765  [42,47],
11766  [43,44],
11767  [43,48],
11768  [44,49],
11769  [45,47],
11770  [46,48],
11771  [47,49],
11772  [48,49]
11773  ]
11774  ],
11775  [
11776  "johnson_gyrate_rhombicosidodecahedron",
11777  "Gyrate Rhombicosidodecahedron",
11778  "J72",
11779  "johnson",
11780  "Polyhedron Database #116",
11781  [
11782  [-0.22391883643, -0.68915170697, -0.68915174456],
11783  [-0.58622734404, -0.68915176147, -0.42591923920],
11784  [-0.22391886846, -0.30819800523, -0.92459405956],
11785  [-0.81014634819, -0.30819809340, -0.49867491894],
11786  [-0.58622739587, -0.07275572390, -0.80687290726],
11787  [ 0.00000013569, -0.92459402197, -0.38095372899],
11788  [ 0.22391908801, -0.68915165248, -0.68915171731],
11789  [-0.36230837193, -0.92459407647, -0.11772122363],
11790  [ 0.22391905598, -0.30819795073, -0.92459403231],
11791  [-0.72461689934, -0.68915179515, -0.00000007133],
11792  [ 0.00000005183, 0.07275571733, -0.99734971206],
11793  [-0.94853590348, -0.30819812708, -0.07275575108],
11794  [-0.36230847558, 0.30819799866, -0.87962855976],
11795  [-0.94853593552, 0.07275557466, -0.30819806608],
11796  [-0.72461698319, 0.30819794416, -0.61639605440],
11797  [ 0.36230861127, -0.92459398829, -0.11772117954],
11798  [ 0.58622756359, -0.68915161880, -0.42591916786],
11799  [-0.22391886846, -0.92459407647, 0.30819796107],
11800  [ 0.58622751176, -0.07275558124, -0.80687283593],
11801  [-0.58622739587, -0.68915179515, 0.42591911337],
11802  [ 0.36230850761, 0.30819808683, -0.87962851567],
11803  [ 0.22391905598, -0.92459402197, 0.30819798832],
11804  [-0.94853595531, -0.07275581208, 0.30819795066],
11805  [ 0.81014648388, -0.30819789624, -0.49867482036],
11806  [-0.22391900415, 0.68915170040, -0.68915169006],
11807  [-0.94853598734, 0.30819788967, 0.07275563566],
11808  [-0.58622751176, 0.68915164590, -0.42591918470],
11809  [ 0.72461706705, -0.68915161880, 0.00000001684],
11810  [-0.72461698319, -0.30819812708, 0.61639596623],
11811  [-0.22391892029, -0.68915176147, 0.68915166281],
11812  [ 0.22391892029, 0.68915175489, -0.68915166281],
11813  [ 0.84839635554, 0.13783046089, -0.51110295447],
11814  [-0.72461706705, 0.68915161222, -0.00000001684],
11815  [ 0.58622751176, -0.68915165248, 0.42591918470],
11816  [ 0.62447735140, 0.51878412896, -0.58385863422],
11817  [ 0.94853598734, -0.30819789624, -0.07275563566],
11818  [ 0.22391900415, -0.68915170697, 0.68915169006],
11819  [-0.81014648388, 0.30819788967, 0.49867482036],
11820  [-0.22391905598, 0.92459406990, -0.30819798832],
11821  [-0.36230850761, -0.30819809340, 0.87962851567],
11822  [-0.58622751176, 0.07275557466, 0.80687283593],
11823  [ 0.22391886846, 0.92459406990, -0.30819796107],
11824  [ 0.98678585901, 0.13783046089, -0.08518376977],
11825  [-0.58622756359, 0.68915161222, 0.42591916786],
11826  [-0.36230861127, 0.92459406990, 0.11772117954],
11827  [ 0.72461698319, -0.30819795073, 0.61639605440],
11828  [ 0.62447729957, 0.75422644396, -0.20290493247],
11829  [ 0.94853593552, -0.07275558124, 0.30819806608],
11830  [ 0.36230847558, -0.30819800523, 0.87962855976],
11831  [-0.00000005183, -0.07275572390, 0.99734971206],
11832  [ 0.84839627169, 0.51878412896, 0.10529308309],
11833  [-0.22391905598, 0.30819794416, 0.92459403231],
11834  [ 0.36230837193, 0.92459406990, 0.11772122363],
11835  [-0.22391908801, 0.68915164590, 0.68915171731],
11836  [-0.00000013569, 0.92459406990, 0.38095372899],
11837  [ 0.58622739587, 0.07275571733, 0.80687290726],
11838  [ 0.81014634819, 0.30819808683, 0.49867491894],
11839  [ 0.22391886846, 0.30819799866, 0.92459405956],
11840  [ 0.58622734404, 0.68915175489, 0.42591923920],
11841  [ 0.22391883643, 0.68915170040, 0.68915174456]
11842  ],
11843  [
11844  [0.99999992378, -107.99999046038, 133.56300370786],
11845  [0.99999992378, -130.38616989338, 115.20886419201],
11846  [0.99999992253, -125.99998912437, 157.60723281191],
11847  [0.99999992253, -159.17204697701, 119.91237455028],
11848  [0.99999992175, -172.92529010115, 143.79152766686],
11849  [0.99999992455, -89.99999159172, 112.39277312256],
11850  [0.99999992378, -71.99998928943, 133.56300155339],
11851  [0.99999992455, -111.39806157676, 96.76060660846],
11852  [0.99999992253, -53.99998324198, 157.60722871387],
11853  [0.99999992378, -136.43699229202, 90.00000408717],
11854  [0.99999992127, 89.99995918529, 175.82771767430],
11855  [0.99999992253, -161.99999292706, 94.17228425929],
11856  [0.99999992050, 139.61382234638, 151.59759765072],
11857  [0.99999992127, 175.61382879197, 107.95067255411],
11858  [0.99999992050, 156.95872245567, 128.05343383228],
11859  [0.99999992455, -68.60192370976, 96.76060406476],
11860  [0.99999992378, -49.61381366272, 115.20885967460],
11861  [0.99999992455, -103.61381634713, 72.04933383145],
11862  [0.99999992175, -7.07469478200, 143.79152074794],
11863  [0.99999992378, -130.38617101139, 64.79114377637],
11864  [0.99999992050, 40.38618324361, 151.59759234019],
11865  [0.99999992455, -76.38617190417, 72.04933219041],
11866  [0.99999992175, -175.61381462612, 72.04933440632],
11867  [0.99999992253, -20.82793765285, 119.91236803389],
11868  [0.99999991925, 108.00000323337, 133.56299964574],
11869  [0.99999992050, 162.00000738725, 85.82772236300],
11870  [0.99999991925, 130.38618272505, 115.20886086319],
11871  [0.99999992378, -43.56299376403, 89.99999903514],
11872  [0.99999992253, -156.95871020775, 51.94657267434],
11873  [0.99999992378, -107.99999543508, 46.43700275552],
11874  [0.99999991925, 72.00000440433, 133.56299749128],
11875  [0.99999992106, 9.22765263458, 120.73732763647],
11876  [0.99999991925, 136.43700650881, 90.00000096485],
11877  [0.99999992378, -49.61381754460, 64.79113925897],
11878  [0.99999991981, 39.71808407508, 125.72240191849],
11879  [0.99999992253, -17.99999297182, 94.17227762853],
11880  [0.99999992378, -71.99999692719, 46.43700060106],
11881  [0.99999992050, 159.17206275317, 60.08763189933],
11882  [0.99999996886, 103.61382741646, 107.95066698712],
11883  [0.99999992253, -139.61381615339, 28.40240787442],
11884  [0.99999992127, 172.92530585059, 36.20847921462],
11885  [0.99999991847, 76.38618355970, 107.95066628132],
11886  [0.99999992106, 7.95141167878, 94.88659281586],
11887  [0.99999991925, 130.38618660694, 64.79114020323],
11888  [1.00000000000, 111.39807457246, 83.23939644770],
11889  [0.99999992253, -23.04127798437, 51.94656625855],
11890  [0.99999991903, 50.37624374108, 101.70688416918],
11891  [0.99999992175, -4.38617160268, 72.04932745474],
11892  [0.99999992253, -40.38617825660, 28.40240256389],
11893  [0.99999992175, -90.00004081485, 4.17228270123],
11894  [0.99999991981, 31.44528494299, 83.95594692549],
11895  [0.99999992050, 126.00001733900, 22.39277100444],
11896  [0.99999991847, 68.60193828489, 83.23939335025],
11897  [0.99999991925, 108.00001087114, 46.43699819980],
11898  [0.99999996886, 90.00000840827, 67.60722792344],
11899  [0.99999992127, 7.07470926624, 36.20847229571],
11900  [0.99999992050, 20.82795261694, 60.08762538293],
11901  [0.99999992050, 54.00001029464, 22.39276690641],
11902  [0.99999991925, 49.61382983694, 64.79113568582],
11903  [0.99999991925, 72.00000937903, 46.43699604533]
11904  ],
11905  [
11906  [48,45,33,36],
11907  [55,45,48],
11908  [55,56,47,45],
11909  [45,47,35,27,33],
11910  [47,42,35],
11911  [56,50,42,47],
11912  [35,42,31,23],
11913  [31,18,23],
11914  [31,34,20,18],
11915  [42,50,46,34,31],
11916  [34,30,20],
11917  [46,41,30,34],
11918  [49,57,55,48],
11919  [51,57,49],
11920  [51,53,59,57],
11921  [57,59,58,56,55],
11922  [53,54,59],
11923  [43,44,54,53],
11924  [59,54,52,58],
11925  [58,50,56],
11926  [58,52,46,50],
11927  [54,44,38,41,52],
11928  [52,41,46],
11929  [38,24,30,41],
11930  [39,40,51,49],
11931  [28,40,39],
11932  [28,22,37,40],
11933  [40,37,43,53,51],
11934  [22,25,37],
11935  [11,13,25,22],
11936  [37,25,32,43],
11937  [32,44,43],
11938  [32,26,38,44],
11939  [25,13,14,26,32],
11940  [26,24,38],
11941  [14,12,24,26],
11942  [29,19,28,39],
11943  [17,19,29],
11944  [17,7,9,19],
11945  [19,9,11,22,28],
11946  [7,1,9],
11947  [5,0,1,7],
11948  [9,1,3,11],
11949  [3,13,11],
11950  [3,4,14,13],
11951  [1,0,2,4,3],
11952  [4,12,14],
11953  [2,10,12,4],
11954  [36,21,17,29],
11955  [33,21,36],
11956  [33,27,15,21],
11957  [21,15,5,7,17],
11958  [27,16,15],
11959  [35,23,16,27],
11960  [15,16,6,5],
11961  [6,0,5],
11962  [6,8,2,0],
11963  [16,23,18,8,6],
11964  [8,10,2],
11965  [18,20,10,8],
11966  [29,39,49,48,36],
11967  [20,30,24,12,10]
11968  ],
11969  [
11970  [0,1],
11971  [0,2],
11972  [0,5],
11973  [0,6],
11974  [1,3],
11975  [1,7],
11976  [1,9],
11977  [2,4],
11978  [2,8],
11979  [2,10],
11980  [3,4],
11981  [3,11],
11982  [3,13],
11983  [4,12],
11984  [4,14],
11985  [5,6],
11986  [5,7],
11987  [5,15],
11988  [6,8],
11989  [6,16],
11990  [7,9],
11991  [7,17],
11992  [8,10],
11993  [8,18],
11994  [9,11],
11995  [9,19],
11996  [10,12],
11997  [10,20],
11998  [11,13],
11999  [11,22],
12000  [12,14],
12001  [12,24],
12002  [13,14],
12003  [13,25],
12004  [14,26],
12005  [15,16],
12006  [15,21],
12007  [15,27],
12008  [16,23],
12009  [16,27],
12010  [17,19],
12011  [17,21],
12012  [17,29],
12013  [18,20],
12014  [18,23],
12015  [18,31],
12016  [19,28],
12017  [19,29],
12018  [20,30],
12019  [20,34],
12020  [21,33],
12021  [21,36],
12022  [22,25],
12023  [22,28],
12024  [22,37],
12025  [23,31],
12026  [23,35],
12027  [24,26],
12028  [24,30],
12029  [24,38],
12030  [25,32],
12031  [25,37],
12032  [26,32],
12033  [26,38],
12034  [27,33],
12035  [27,35],
12036  [28,39],
12037  [28,40],
12038  [29,36],
12039  [29,39],
12040  [30,34],
12041  [30,41],
12042  [31,34],
12043  [31,42],
12044  [32,43],
12045  [32,44],
12046  [33,36],
12047  [33,45],
12048  [34,46],
12049  [35,42],
12050  [35,47],
12051  [36,48],
12052  [37,40],
12053  [37,43],
12054  [38,41],
12055  [38,44],
12056  [39,40],
12057  [39,49],
12058  [40,51],
12059  [41,46],
12060  [41,52],
12061  [42,47],
12062  [42,50],
12063  [43,44],
12064  [43,53],
12065  [44,54],
12066  [45,47],
12067  [45,48],
12068  [45,55],
12069  [46,50],
12070  [46,52],
12071  [47,56],
12072  [48,49],
12073  [48,55],
12074  [49,51],
12075  [49,57],
12076  [50,56],
12077  [50,58],
12078  [51,53],
12079  [51,57],
12080  [52,54],
12081  [52,58],
12082  [53,54],
12083  [53,59],
12084  [54,59],
12085  [55,56],
12086  [55,57],
12087  [56,58],
12088  [57,59],
12089  [58,59]
12090  ]
12091  ],
12092  [
12093  "johnson_gyrobifastigium",
12094  "Gyrobifastigium",
12095  "J26",
12096  "johnson",
12097  "Exact Mathematics",
12098  [
12099  [-0.50000000000, 0.50000000000, 0.00000000000],
12100  [ 0.50000000000, 0.50000000000, 0.00000000000],
12101  [ 0.50000000000, -0.50000000000, 0.00000000000],
12102  [-0.50000000000, -0.50000000000, 0.00000000000],
12103  [ 0.00000000000, 0.50000000000, 0.86602540378],
12104  [ 0.00000000000, -0.50000000000, 0.86602540378],
12105  [-0.50000000000, 0.00000000000, -0.86602540378],
12106  [ 0.50000000000, 0.00000000000, -0.86602540378]
12107  ],
12108  [
12109  [0.70710678119, 134.99999999999, 89.99999999999],
12110  [0.70710678119, 45.00000000000, 89.99999999999],
12111  [0.70710678119, -45.00000000000, 89.99999999999],
12112  [0.70710678119, -134.99999999999, 89.99999999999],
12113  [1.00000000000, 89.99999999999, 30.00000000000],
12114  [1.00000000000, -89.99999999999, 30.00000000000],
12115  [1.00000000000, 179.99999999999, 149.99999999999],
12116  [1.00000000000, 0.00000000000, 149.99999999999]
12117  ],
12118  [
12119  [4,0,1],
12120  [5,2,3],
12121  [6,0,3],
12122  [7,2,1],
12123  [0,4,5,3],
12124  [2,5,4,1],
12125  [0,6,7,1],
12126  [2,7,6,3]
12127  ],
12128  [
12129  [0,1],
12130  [0,3],
12131  [0,4],
12132  [0,6],
12133  [1,2],
12134  [1,4],
12135  [1,7],
12136  [2,3],
12137  [2,5],
12138  [2,7],
12139  [3,5],
12140  [3,6],
12141  [4,5],
12142  [6,7]
12143  ]
12144  ],
12145  [
12146  "johnson_gyroelongated_pentagonal_bicupola",
12147  "Gyroelongated Pentagonal Bicupola",
12148  "J46",
12149  "johnson",
12150  "Polyhedron Database #90",
12151  [
12152  [ 0.00000000000, -0.25750808025, -0.96627614511],
12153  [-0.56796286774, -0.25750808025, -0.78173382265],
12154  [ 0.15698107577, -0.57147023180, -0.48313807255],
12155  [-0.41098179196, -0.57147023180, -0.29859575010],
12156  [ 0.56796286774, -0.25750808025, -0.78173382265],
12157  [-0.29859575010, 0.25750808025, -0.91898322435],
12158  [-0.91898322435, -0.25750808025, -0.29859575010],
12159  [ 0.29859575010, 0.25750808025, -0.91898322435],
12160  [-0.78173382265, 0.25750808025, -0.56796286774],
12161  [ 0.50800143238, -0.57147023180, 0.00000000000],
12162  [-0.41098179196, -0.57147023180, 0.29859575010],
12163  [ 0.91898322435, -0.25750808025, -0.29859575010],
12164  [-0.91898322435, -0.25750808025, 0.29859575010],
12165  [ 0.78173382265, 0.25750808025, -0.56796286774],
12166  [-0.96627614511, 0.25750808025, -0.00000000000],
12167  [-0.29859575010, 0.57147023180, -0.41098179196],
12168  [ 0.15698107577, -0.57147023180, 0.48313807255],
12169  [ 0.29859575010, 0.57147023180, -0.41098179196],
12170  [ 0.91898322435, -0.25750808025, 0.29859575010],
12171  [-0.56796286774, -0.25750808025, 0.78173382265],
12172  [ 0.96627614511, 0.25750808025, 0.00000000000],
12173  [-0.48313807255, 0.57147023180, 0.15698107577],
12174  [-0.78173382265, 0.25750808025, 0.56796286774],
12175  [ 0.56796286774, -0.25750808025, 0.78173382265],
12176  [ 0.48313807255, 0.57147023180, 0.15698107577],
12177  [-0.00000000000, -0.25750808025, 0.96627614511],
12178  [ 0.00000000000, 0.57147023180, 0.50800143238],
12179  [ 0.78173382265, 0.25750808025, 0.56796286774],
12180  [-0.29859575010, 0.25750808025, 0.91898322435],
12181  [ 0.29859575010, 0.25750808025, 0.91898322435]
12182  ],
12183  [
12184  [1.00000000000, -89.99999999999, 165.07774833350],
12185  [1.00000000000, -155.61098626196, 141.41959783207],
12186  [0.76461995863, -74.63989772271, 129.18799659412],
12187  [0.76461995863, -125.72239323903, 112.98656321525],
12188  [1.00000000000, -24.38901373804, 141.41959783207],
12189  [1.00000000000, 139.22561430133, 156.77788602884],
12190  [1.00000000000, -164.34660886024, 107.37328013248],
12191  [1.00000000000, 40.77438569864, 156.77788602883],
12192  [1.00000000000, 161.76778911694, 124.60829214701],
12193  [0.76461995863, -48.36489848415, 89.99999999999],
12194  [0.76461995863, -125.72239323904, 67.01343678474],
12195  [1.00000000000, -15.65339113976, 107.37328013247],
12196  [1.00000000000, -164.34660886024, 72.62671986752],
12197  [1.00000000000, 18.23221088303, 124.60829214701],
12198  [1.00000000000, 165.07774833350, 90.00000000000],
12199  [0.76461995863, 117.58726882398, 122.51348704618],
12200  [0.76461995863, -74.63989772272, 50.81200340587],
12201  [0.76461995863, 62.41273117600, 122.51348704617],
12202  [1.00000000000, -15.65339113976, 72.62671986751],
12203  [1.00000000000, -155.61098626196, 38.58040216792],
12204  [1.00000000000, 14.92225166648, 89.99999999999],
12205  [0.76461995863, 130.21218041830, 78.15258661285],
12206  [1.00000000000, 161.76778911695, 55.39170785299],
12207  [1.00000000000, -24.38901373804, 38.58040216791],
12208  [0.76461995863, 49.78781958168, 78.15258661285],
12209  [1.00000000000, -90.00000000002, 14.92225166648],
12210  [0.76461995863, 89.99999999999, 48.36489848416],
12211  [1.00000000000, 18.23221088303, 55.39170785298],
12212  [1.00000000000, 139.22561430134, 23.22211397116],
12213  [1.00000000000, 40.77438569866, 23.22211397116]
12214  ],
12215  [
12216  [3,10,16,9,2],
12217  [11,4,2,9],
12218  [18,11,9],
12219  [23,18,9,16],
12220  [25,23,16],
12221  [19,25,16,10],
12222  [12,19,10],
12223  [6,12,10,3],
12224  [1,6,3],
12225  [0,1,3,2],
12226  [4,0,2],
12227  [26,21,15,17,24],
12228  [13,20,24,17],
12229  [7,13,17],
12230  [5,7,17,15],
12231  [8,5,15],
12232  [14,8,15,21],
12233  [22,14,21],
12234  [28,22,21,26],
12235  [29,28,26],
12236  [27,29,26,24],
12237  [20,27,24],
12238  [12,22,19],
12239  [14,22,12],
12240  [6,14,12],
12241  [8,14,6],
12242  [1,8,6],
12243  [5,8,1],
12244  [0,5,1],
12245  [7,5,0],
12246  [4,7,0],
12247  [13,7,4],
12248  [11,13,4],
12249  [20,13,11],
12250  [18,20,11],
12251  [27,20,18],
12252  [23,27,18],
12253  [29,27,23],
12254  [25,29,23],
12255  [28,29,25],
12256  [19,28,25],
12257  [22,28,19]
12258  ],
12259  [
12260  [0,1],
12261  [0,2],
12262  [0,4],
12263  [0,5],
12264  [0,7],
12265  [1,3],
12266  [1,5],
12267  [1,6],
12268  [1,8],
12269  [2,3],
12270  [2,4],
12271  [2,9],
12272  [3,6],
12273  [3,10],
12274  [4,7],
12275  [4,11],
12276  [4,13],
12277  [5,7],
12278  [5,8],
12279  [5,15],
12280  [6,8],
12281  [6,12],
12282  [6,14],
12283  [7,13],
12284  [7,17],
12285  [8,14],
12286  [8,15],
12287  [9,11],
12288  [9,16],
12289  [9,18],
12290  [10,12],
12291  [10,16],
12292  [10,19],
12293  [11,13],
12294  [11,18],
12295  [11,20],
12296  [12,14],
12297  [12,19],
12298  [12,22],
12299  [13,17],
12300  [13,20],
12301  [14,21],
12302  [14,22],
12303  [15,17],
12304  [15,21],
12305  [16,23],
12306  [16,25],
12307  [17,24],
12308  [18,20],
12309  [18,23],
12310  [18,27],
12311  [19,22],
12312  [19,25],
12313  [19,28],
12314  [20,24],
12315  [20,27],
12316  [21,22],
12317  [21,26],
12318  [22,28],
12319  [23,25],
12320  [23,27],
12321  [23,29],
12322  [24,26],
12323  [24,27],
12324  [25,28],
12325  [25,29],
12326  [26,28],
12327  [26,29],
12328  [27,29],
12329  [28,29]
12330  ]
12331  ],
12332  [
12333  "johnson_gyroelongated_pentagonal_birotunda",
12334  "Gyroelongated Pentagonal Birotunda",
12335  "J48",
12336  "johnson",
12337  "Polyhedron Database #92",
12338  [
12339  [-0.13158165180, -0.90481393343, -0.40496668354],
12340  [ 0.34448523671, -0.90481393343, -0.25028317474],
12341  [-0.42580716982, -0.90481393343, -0.00000000000],
12342  [ 0.34448523671, -0.90481393343, 0.25028317474],
12343  [-0.13158165180, -0.90481393343, 0.40496668354],
12344  [ 0.21290358491, -0.64165062983, -0.65524985828],
12345  [-0.55738882162, -0.64165062983, -0.40496668354],
12346  [ 0.68897047342, -0.64165062983, -0.00000000000],
12347  [-0.55738882162, -0.64165062983, 0.40496668354],
12348  [ 0.21290358491, -0.64165062983, 0.65524985828],
12349  [-0.00000000000, -0.21584346001, -0.80993336708],
12350  [ 0.47606688851, -0.21584346001, -0.65524985828],
12351  [-0.47606688851, -0.21584346001, -0.65524985828],
12352  [ 0.77029240653, -0.21584346001, -0.25028317474],
12353  [-0.77029240653, -0.21584346001, -0.25028317474],
12354  [ 0.77029240653, -0.21584346001, 0.25028317474],
12355  [-0.77029240653, -0.21584346001, 0.25028317474],
12356  [ 0.47606688851, -0.21584346001, 0.65524985828],
12357  [-0.47606688851, -0.21584346001, 0.65524985828],
12358  [ 0.00000000000, -0.21584346001, 0.80993336708],
12359  [ 0.25028317474, 0.21584346001, -0.77029240653],
12360  [-0.25028317474, 0.21584346001, -0.77029240653],
12361  [ 0.65524985828, 0.21584346001, -0.47606688851],
12362  [-0.65524985828, 0.21584346001, -0.47606688851],
12363  [ 0.80993336708, 0.21584346001, 0.00000000000],
12364  [-0.80993336708, 0.21584346001, 0.00000000000],
12365  [ 0.65524985828, 0.21584346001, 0.47606688851],
12366  [-0.65524985828, 0.21584346001, 0.47606688851],
12367  [ 0.25028317474, 0.21584346001, 0.77029240653],
12368  [-0.25028317474, 0.21584346001, 0.77029240653],
12369  [ 0.40496668354, 0.64165062983, -0.55738882162],
12370  [-0.40496668354, 0.64165062983, -0.55738882162],
12371  [ 0.65524985828, 0.64165062983, 0.21290358491],
12372  [-0.65524985828, 0.64165062983, 0.21290358491],
12373  [-0.00000000000, 0.64165062983, 0.68897047342],
12374  [-0.00000000000, 0.90481393343, -0.42580716982],
12375  [ 0.40496668354, 0.90481393343, -0.13158165180],
12376  [-0.40496668354, 0.90481393343, -0.13158165180],
12377  [ 0.25028317474, 0.90481393343, 0.34448523671],
12378  [-0.25028317474, 0.90481393343, 0.34448523671]
12379  ],
12380  [
12381  [1.00000000000, -98.27417835556, 113.88903937721],
12382  [1.00000000000, -69.15692238051, 104.49426963502],
12383  [1.00000000000, -115.20176532942, 89.99999999999],
12384  [1.00000000000, -69.15692238051, 75.50573036498],
12385  [1.00000000000, -98.27417835556, 66.11096062278],
12386  [0.94148597653, -71.64384150295, 134.10489156378],
12387  [0.94148597653, -130.98018062352, 115.47616921029],
12388  [0.94148597653, -42.96329304615, 89.99999999999],
12389  [0.94148597653, -130.98018062351, 64.52383078970],
12390  [0.94148597653, -71.64384150294, 45.89510843621],
12391  [0.83820072676, -89.99999999999, 165.07774833351],
12392  [0.83820072676, -24.38901373803, 141.41959783208],
12393  [0.83820072676, -155.61098626195, 141.41959783207],
12394  [0.83820072676, -15.65339113975, 107.37328013248],
12395  [0.83820072676, -164.34660886022, 107.37328013247],
12396  [0.83820072676, -15.65339113975, 72.62671986751],
12397  [0.83820072676, -164.34660886022, 72.62671986751],
12398  [0.83820072676, -24.38901373804, 38.58040216792],
12399  [0.83820072676, -155.61098626193, 38.58040216791],
12400  [0.83820072676, -89.99999999997, 14.92225166649],
12401  [0.83820072676, 40.77438569867, 156.77788602883],
12402  [0.83820072676, 139.22561430134, 156.77788602883],
12403  [0.83820072676, 18.23221088305, 124.60829214701],
12404  [0.83820072676, 161.76778911696, 124.60829214700],
12405  [0.83820072676, 14.92225166649, 89.99999999999],
12406  [0.83820072676, 165.07774833352, 89.99999999999],
12407  [0.83820072676, 18.23221088304, 55.39170785298],
12408  [0.83820072676, 161.76778911696, 55.39170785298],
12409  [0.83820072676, 40.77438569864, 23.22211397115],
12410  [0.83820072676, 139.22561430135, 23.22211397115],
12411  [0.94148597653, 57.74263745303, 126.30126224760],
12412  [0.94148597653, 122.25736254697, 126.30126224760],
12413  [0.94148597653, 44.39922157046, 76.93032995022],
12414  [0.94148597653, 135.60077842954, 76.93032995021],
12415  [0.94148597653, 90.00000000000, 42.96329304615],
12416  [1.00000000000, 90.00000000000, 115.20176532942],
12417  [1.00000000000, 65.88818952781, 97.56099948825],
12418  [1.00000000000, 114.11181047220, 97.56099948825],
12419  [1.00000000000, 74.53787103493, 69.84962412329],
12420  [1.00000000000, 105.46212896507, 69.84962412329]
12421  ],
12422  [
12423  [2,4,3,1,0],
12424  [5,10,12,6,0],
12425  [1,5,0],
12426  [11,10,5],
12427  [7,13,11,5,1],
12428  [3,7,1],
12429  [15,13,7],
12430  [9,17,15,7,3],
12431  [4,9,3],
12432  [19,17,9],
12433  [8,18,19,9,4],
12434  [2,8,4],
12435  [16,18,8],
12436  [6,14,16,8,2],
12437  [0,6,2],
12438  [12,14,6],
12439  [36,38,39,37,35],
12440  [31,21,20,30,35],
12441  [37,31,35],
12442  [23,21,31],
12443  [33,25,23,31,37],
12444  [39,33,37],
12445  [27,25,33],
12446  [34,29,27,33,39],
12447  [38,34,39],
12448  [28,29,34],
12449  [32,26,28,34,38],
12450  [36,32,38],
12451  [24,26,32],
12452  [30,22,24,32,36],
12453  [35,30,36],
12454  [20,22,30],
12455  [19,28,17],
12456  [29,28,19],
12457  [18,29,19],
12458  [27,29,18],
12459  [16,27,18],
12460  [25,27,16],
12461  [14,25,16],
12462  [23,25,14],
12463  [12,23,14],
12464  [21,23,12],
12465  [10,21,12],
12466  [20,21,10],
12467  [11,20,10],
12468  [22,20,11],
12469  [13,22,11],
12470  [24,22,13],
12471  [15,24,13],
12472  [26,24,15],
12473  [17,26,15],
12474  [28,26,17]
12475  ],
12476  [
12477  [0,1],
12478  [0,2],
12479  [0,5],
12480  [0,6],
12481  [1,3],
12482  [1,5],
12483  [1,7],
12484  [2,4],
12485  [2,6],
12486  [2,8],
12487  [3,4],
12488  [3,7],
12489  [3,9],
12490  [4,8],
12491  [4,9],
12492  [5,10],
12493  [5,11],
12494  [6,12],
12495  [6,14],
12496  [7,13],
12497  [7,15],
12498  [8,16],
12499  [8,18],
12500  [9,17],
12501  [9,19],
12502  [10,11],
12503  [10,12],
12504  [10,20],
12505  [10,21],
12506  [11,13],
12507  [11,20],
12508  [11,22],
12509  [12,14],
12510  [12,21],
12511  [12,23],
12512  [13,15],
12513  [13,22],
12514  [13,24],
12515  [14,16],
12516  [14,23],
12517  [14,25],
12518  [15,17],
12519  [15,24],
12520  [15,26],
12521  [16,18],
12522  [16,25],
12523  [16,27],
12524  [17,19],
12525  [17,26],
12526  [17,28],
12527  [18,19],
12528  [18,27],
12529  [18,29],
12530  [19,28],
12531  [19,29],
12532  [20,21],
12533  [20,22],
12534  [20,30],
12535  [21,23],
12536  [21,31],
12537  [22,24],
12538  [22,30],
12539  [23,25],
12540  [23,31],
12541  [24,26],
12542  [24,32],
12543  [25,27],
12544  [25,33],
12545  [26,28],
12546  [26,32],
12547  [27,29],
12548  [27,33],
12549  [28,29],
12550  [28,34],
12551  [29,34],
12552  [30,35],
12553  [30,36],
12554  [31,35],
12555  [31,37],
12556  [32,36],
12557  [32,38],
12558  [33,37],
12559  [33,39],
12560  [34,38],
12561  [34,39],
12562  [35,36],
12563  [35,37],
12564  [36,38],
12565  [37,39],
12566  [38,39]
12567  ]
12568  ],
12569  [
12570  "johnson_gyroelongated_pentagonal_cupola",
12571  "gyroelongated pentagonal cupola",
12572  "J24",
12573  "johnson",
12574  "Polyhedron Database #68",
12575  [
12576  [-0.00000000000, -0.35911189524, 0.93329447736],
12577  [ 0.28840384708, 0.13832582951, 0.88761578021],
12578  [-0.28840385178, 0.13832653369, 0.88761580994],
12579  [ 0.54857671146, -0.35911189524, 0.75505106765],
12580  [-0.54857672984, -0.35911189524, 0.75505112419],
12581  [ 0.75505106047, 0.13832544914, 0.54857669736],
12582  [ 0.00000021769, 0.44157195567, 0.49066187278],
12583  [-0.75505110012, 0.13832681641, 0.54857677519],
12584  [ 0.88761574621, -0.35911189524, 0.28840381931],
12585  [ 0.46664743108, 0.44157149822, 0.15162278994],
12586  [-0.88761581268, -0.35911189524, 0.28840391080],
12587  [-0.46664703065, 0.44157223840, 0.15162283804],
12588  [ 0.93329441363, 0.13832533606, -0.00000003247],
12589  [-0.93329450983, 0.13832681641, 0.00000006373],
12590  [ 0.88761571648, -0.35911189524, -0.28840387955],
12591  [ 0.28840402137, 0.44157149822, -0.39695392153],
12592  [-0.88761584241, -0.35911189524, -0.28840378806],
12593  [-0.28840367749, 0.44157195567, -0.39695389180],
12594  [ 0.75505100392, 0.13832533606, -0.54857674393],
12595  [-0.75505115667, 0.13832653369, -0.54857666611],
12596  [ 0.54857663364, -0.35911189524, -0.75505109294],
12597  [-0.54857680766, -0.35911189524, -0.75505103639],
12598  [ 0.28840375558, 0.13832544914, -0.88761577868],
12599  [-0.28840394328, 0.13832570615, -0.88761574896],
12600  [-0.00000009620, -0.35911189524, -0.93329444610]
12601  ],
12602  [
12603  [0.99999996738, -89.99999999999, 21.04566520958],
12604  [0.94348957991, 25.62356242295, 19.81709963233],
12605  [0.94348971256, 154.37632420856, 19.81711666092],
12606  [0.99999993821, -33.20975101489, 40.97016377448],
12607  [0.99999999099, -146.79024986445, 40.97016231526],
12608  [0.94348949474, 10.38147358880, 54.44854706042],
12609  [0.66010216288, 89.99997175420, 41.98568152514],
12610  [0.94348977218, 169.61842656071, 54.44855329201],
12611  [0.99999991461, -22.02728871644, 73.23757940544],
12612  [0.66010202499, 43.41846480197, 76.72082576446],
12613  [1.00000000000, -157.97271277536, 73.23757540434],
12614  [0.66010224810, 136.58146270532, 76.72082604522],
12615  [0.94348945999, 8.43054311795, 90.00000197190],
12616  [0.94348977218, 171.56936881140, 89.99999612993],
12617  [0.99999990560, -22.02728938359, 106.76242435445],
12618  [0.66010202499, 56.85020284935, 126.96681600965],
12619  [0.99999999099, -157.97271344252, 106.76241740614],
12620  [0.66010216288, 123.14973869757, 126.96680377196],
12621  [0.94348945999, 10.38146604644, 125.55145792390],
12622  [0.94348971256, 169.61844807857, 125.55144115342],
12623  [0.99999991461, -33.20975473982, 139.02983999249],
12624  [0.99999996738, -146.79025358942, 139.02983156929],
12625  [0.94348949474, 25.62350807743, 160.18291444669],
12626  [0.94348956182, 154.37646495354, 160.18289781655],
12627  [0.99999993821, -90.00001534856, 158.95433414730]
12628  ],
12629  [
12630  [24,21,16,10,4,0,3,8,14,20],
12631  [5,3,1],
12632  [8,3,5],
12633  [12,8,5],
12634  [14,8,12],
12635  [18,14,12],
12636  [20,14,18],
12637  [22,20,18],
12638  [24,20,22],
12639  [23,24,22],
12640  [21,24,23],
12641  [6,11,17,15,9],
12642  [18,12,9,15],
12643  [22,18,15],
12644  [23,22,15,17],
12645  [19,23,17],
12646  [13,19,17,11],
12647  [7,13,11],
12648  [2,7,11,6],
12649  [1,2,6],
12650  [5,1,6,9],
12651  [12,5,9],
12652  [19,21,23],
12653  [19,16,21],
12654  [16,13,10],
12655  [16,19,13],
12656  [13,7,10],
12657  [4,10,7],
12658  [4,7,2],
12659  [4,2,0],
12660  [0,2,1],
12661  [0,1,3]
12662  ],
12663  [
12664  [0,1],
12665  [0,2],
12666  [0,3],
12667  [0,4],
12668  [1,2],
12669  [1,3],
12670  [1,5],
12671  [1,6],
12672  [2,4],
12673  [2,6],
12674  [2,7],
12675  [3,5],
12676  [3,8],
12677  [4,7],
12678  [4,10],
12679  [5,8],
12680  [5,9],
12681  [5,12],
12682  [6,9],
12683  [6,11],
12684  [7,10],
12685  [7,11],
12686  [7,13],
12687  [8,12],
12688  [8,14],
12689  [9,12],
12690  [9,15],
12691  [10,13],
12692  [10,16],
12693  [11,13],
12694  [11,17],
12695  [12,14],
12696  [12,18],
12697  [13,16],
12698  [13,19],
12699  [14,18],
12700  [14,20],
12701  [15,17],
12702  [15,18],
12703  [15,22],
12704  [16,19],
12705  [16,21],
12706  [17,19],
12707  [17,23],
12708  [18,20],
12709  [18,22],
12710  [19,21],
12711  [19,23],
12712  [20,22],
12713  [20,24],
12714  [21,23],
12715  [21,24],
12716  [22,23],
12717  [22,24],
12718  [23,24]
12719  ]
12720  ],
12721  [
12722  "johnson_gyroelongated_pentagonal_cupolarotunda",
12723  "Gyroelongated Pentagonal Cupolarotunda",
12724  "J47",
12725  "johnson",
12726  "Polyhedron Database #91",
12727  [
12728  [-0.86573509887, -0.41397609515, 0.28129438534],
12729  [-0.86573509887, -0.41397609516, -0.28129438534],
12730  [-0.38716850632, -0.70974651523, 0.28129438534],
12731  [-0.38716850632, -0.70974651523, -0.28129438534],
12732  [-0.53505371636, -0.41397609515, 0.73643826167],
12733  [-0.53505371636, -0.41397609516, -0.73643826167],
12734  [-0.91028775266, 0.07119877509, 0.00000000000],
12735  [ 0.14788521004, -0.70974651523, 0.45514387633],
12736  [ 0.14788521004, -0.70974651523, -0.45514387633],
12737  [-0.73643826167, 0.07119877509, 0.53505371636],
12738  [-0.73643826167, 0.07119877509, -0.53505371636],
12739  [ 0.00000000000, -0.41397609515, 0.91028775266],
12740  [ 0.00000000000, -0.41397609516, -0.91028775266],
12741  [ 0.47856659255, -0.70974651523, 0.00000000000],
12742  [-0.28129438534, 0.07119877509, 0.86573509887],
12743  [-0.28129438534, 0.07119877509, -0.86573509887],
12744  [ 0.53505371636, -0.41397609515, 0.73643826167],
12745  [-0.73643826167, 0.54976536764, 0.23928329628],
12746  [ 0.53505371636, -0.41397609516, -0.73643826167],
12747  [-0.45514387633, 0.54976536764, -0.62645180259],
12748  [ 0.86573509887, -0.41397609515, 0.28129438534],
12749  [ 0.86573509887, -0.41397609516, -0.28129438534],
12750  [ 0.28129438534, 0.07119877509, 0.86573509887],
12751  [ 0.28129438534, 0.07119877509, -0.86573509887],
12752  [-0.45514387633, 0.84553578772, -0.14788521004],
12753  [-0.00000000000, 0.54976536764, 0.77433701263],
12754  [ 0.73643826167, 0.07119877509, 0.53505371636],
12755  [-0.28129438534, 0.84553578772, 0.38716850632],
12756  [ 0.73643826167, 0.07119877509, -0.53505371636],
12757  [ 0.91028775266, 0.07119877509, 0.00000000000],
12758  [ 0.00000000000, 0.84553578772, -0.47856659255],
12759  [ 0.45514387633, 0.54976536764, -0.62645180259],
12760  [ 0.28129438534, 0.84553578772, 0.38716850632],
12761  [ 0.73643826167, 0.54976536764, 0.23928329628],
12762  [ 0.45514387633, 0.84553578772, -0.14788521004]
12763  ],
12764  [
12765  [1.00000000000, -154.44386591911, 73.66252713746],
12766  [1.00000000000, -154.44386591911, 106.33747286253],
12767  [0.85601758124, -118.61257768585, 70.81568013754],
12768  [0.85601758124, -118.61257768586, 109.18431986244],
12769  [1.00000000000, -142.27054237741, 42.57111254634],
12770  [1.00000000000, -142.27054237739, 137.42888745365],
12771  [0.91306793735, 175.52767694268, 89.99999999999],
12772  [0.85601758124, -78.23005903945, 57.87966398235],
12773  [0.85601758124, -78.23005903945, 122.12033601762],
12774  [0.91306793735, 174.47781257704, 54.12665023030],
12775  [0.91306793735, 174.47781257705, 125.87334976970],
12776  [1.00000000000, -89.99999999999, 24.45485285534],
12777  [1.00000000000, -89.99999999999, 155.54514714463],
12778  [0.85601758124, -56.00907131426, 89.99999999999],
12779  [0.91306793735, 165.79610391270, 18.52940937577],
12780  [0.91306793735, 165.79610391273, 161.47059062423],
12781  [1.00000000000, -37.72945762258, 42.57111254634],
12782  [0.94965244621, 143.25795096894, 75.40592200318],
12783  [1.00000000000, -37.72945762258, 137.42888745364],
12784  [0.94965244621, 129.62093236985, 131.27427433626],
12785  [1.00000000000, -25.55613408088, 73.66252713746],
12786  [1.00000000000, -25.55613408088, 106.33747286252],
12787  [0.91306793735, 14.20389608731, 18.52940937576],
12788  [0.91306793735, 14.20389608726, 161.47059062422],
12789  [0.97157436763, 118.29315785010, 98.75513298565],
12790  [0.94965244621, 89.99999999999, 35.37406747839],
12791  [0.91306793735, 5.52218742296, 54.12665023029],
12792  [0.97157436763, 108.40134622826, 66.51580975184],
12793  [0.91306793735, 5.52218742295, 125.87334976969],
12794  [0.91306793735, 4.47232305731, 89.99999999999],
12795  [0.97157436763, 89.99999999999, 119.50951909523],
12796  [0.94965244621, 50.37906763014, 131.27427433626],
12797  [0.97157436763, 71.59865377173, 66.51580975183],
12798  [0.94965244621, 36.74204903105, 75.40592200317],
12799  [0.97157436763, 61.70684214989, 98.75513298565]
12800  ],
12801  [
12802  [2,7,13,8,3],
12803  [12,5,3,8],
12804  [18,12,8],
12805  [21,18,8,13],
12806  [20,21,13],
12807  [16,20,13,7],
12808  [11,16,7],
12809  [4,11,7,2],
12810  [0,4,2],
12811  [1,0,2,3],
12812  [5,1,3],
12813  [34,32,27,24,30],
12814  [19,15,23,31,30],
12815  [24,19,30],
12816  [10,15,19],
12817  [17,6,10,19,24],
12818  [27,17,24],
12819  [9,6,17],
12820  [25,14,9,17,27],
12821  [32,25,27],
12822  [22,14,25],
12823  [33,26,22,25,32],
12824  [34,33,32],
12825  [29,26,33],
12826  [31,28,29,33,34],
12827  [30,31,34],
12828  [23,28,31],
12829  [11,22,16],
12830  [14,22,11],
12831  [4,14,11],
12832  [9,14,4],
12833  [0,9,4],
12834  [6,9,0],
12835  [1,6,0],
12836  [10,6,1],
12837  [5,10,1],
12838  [15,10,5],
12839  [12,15,5],
12840  [23,15,12],
12841  [18,23,12],
12842  [28,23,18],
12843  [21,28,18],
12844  [29,28,21],
12845  [20,29,21],
12846  [26,29,20],
12847  [16,26,20],
12848  [22,26,16]
12849  ],
12850  [
12851  [0,1],
12852  [0,2],
12853  [0,4],
12854  [0,6],
12855  [0,9],
12856  [1,3],
12857  [1,5],
12858  [1,6],
12859  [1,10],
12860  [2,3],
12861  [2,4],
12862  [2,7],
12863  [3,5],
12864  [3,8],
12865  [4,9],
12866  [4,11],
12867  [4,14],
12868  [5,10],
12869  [5,12],
12870  [5,15],
12871  [6,9],
12872  [6,10],
12873  [6,17],
12874  [7,11],
12875  [7,13],
12876  [7,16],
12877  [8,12],
12878  [8,13],
12879  [8,18],
12880  [9,14],
12881  [9,17],
12882  [10,15],
12883  [10,19],
12884  [11,14],
12885  [11,16],
12886  [11,22],
12887  [12,15],
12888  [12,18],
12889  [12,23],
12890  [13,20],
12891  [13,21],
12892  [14,22],
12893  [14,25],
12894  [15,19],
12895  [15,23],
12896  [16,20],
12897  [16,22],
12898  [16,26],
12899  [17,24],
12900  [17,27],
12901  [18,21],
12902  [18,23],
12903  [18,28],
12904  [19,24],
12905  [19,30],
12906  [20,21],
12907  [20,26],
12908  [20,29],
12909  [21,28],
12910  [21,29],
12911  [22,25],
12912  [22,26],
12913  [23,28],
12914  [23,31],
12915  [24,27],
12916  [24,30],
12917  [25,27],
12918  [25,32],
12919  [26,29],
12920  [26,33],
12921  [27,32],
12922  [28,29],
12923  [28,31],
12924  [29,33],
12925  [30,31],
12926  [30,34],
12927  [31,34],
12928  [32,33],
12929  [32,34],
12930  [33,34]
12931  ]
12932  ],
12933  [
12934  "johnson_gyroelongated_pentagonal_pyramid",
12935  "Gyroelongated Pentagonal Pyramid",
12936  "J11",
12937  "johnson",
12938  "Polyhedron Database #55",
12939  [
12940  [ 0.00000000000, -0.51552832530, -0.85687253767],
12941  [ 0.81493421058, -0.51552832530, -0.26478817615],
12942  [-0.81493421058, -0.51552832530, -0.26478817615],
12943  [ 0.50365704074, -0.51552832530, 0.69322444499],
12944  [-0.50365704074, -0.51552832530, 0.69322444499],
12945  [ 0.50365704074, 0.34134421237, -0.69322444499],
12946  [-0.50365704074, 0.34134421237, -0.69322444499],
12947  [ 0.81493421058, 0.34134421237, 0.26478817615],
12948  [-0.81493421058, 0.34134421237, 0.26478817615],
12949  [ 0.00000000000, 0.34134421237, 0.85687253767],
12950  [ 0.00000000000, 0.87092056467, 0.00000000000]
12951  ],
12952  [
12953  [1.00000000000, -89.99999999999, 148.96722447522],
12954  [1.00000000000, -32.31749266871, 105.35436657410],
12955  [1.00000000000, -147.68250733128, 105.35436657410],
12956  [1.00000000000, -45.66734057222, 46.11410324701],
12957  [1.00000000000, -134.33265942777, 46.11410324701],
12958  [0.92235915842, 34.12672786951, 138.72721633441],
12959  [0.92235915842, 145.87327213048, 138.72721633441],
12960  [0.92235915842, 22.72691217199, 73.31695413023],
12961  [0.92235915842, 157.27308782800, 73.31695413023],
12962  [0.92235915842, 89.99999999999, 21.72038634979],
12963  [0.87092056467, 89.99999999999, 89.99999999999]
12964  ],
12965  [
12966  [8,2,6],
12967  [4,2,8],
12968  [9,4,8],
12969  [3,4,9],
12970  [7,3,9],
12971  [1,3,7],
12972  [5,1,7],
12973  [0,1,5],
12974  [6,0,5],
12975  [2,0,6],
12976  [10,8,6],
12977  [10,9,8],
12978  [10,7,9],
12979  [10,5,7],
12980  [10,6,5],
12981  [0,2,4,3,1]
12982  ],
12983  [
12984  [0,1],
12985  [0,2],
12986  [0,5],
12987  [0,6],
12988  [1,3],
12989  [1,5],
12990  [1,7],
12991  [2,4],
12992  [2,6],
12993  [2,8],
12994  [3,4],
12995  [3,7],
12996  [3,9],
12997  [4,8],
12998  [4,9],
12999  [5,6],
13000  [5,7],
13001  [5,10],
13002  [6,8],
13003  [6,10],
13004  [7,9],
13005  [7,10],
13006  [8,9],
13007  [8,10],
13008  [9,10]
13009  ]
13010  ],
13011  [
13012  "johnson_gyroelongated_pentagonal_rotunda",
13013  "Gyroelongated Pentagonal Rotunda",
13014  "J25",
13015  "johnson",
13016  "George W. Hart, Jan 1996. george@li.net",
13017  [
13018  [-0.29571105920, -0.04950715860, -0.91010535520],
13019  [-0.47847076326, 0.45358744372, -0.65855873086],
13020  [-0.77418187852, -0.04950726104, -0.56247669378],
13021  [ 0.29571126590, -0.04950646364, -0.91010527582],
13022  [-0.56247521145, -0.55954789069, -0.77418141284],
13023  [ 0.00000052303, -0.55954789069, -0.95694079064],
13024  [-0.00000070745, 0.76451703904, -0.50309479482],
13025  [ 0.47847074268, 0.45358748593, -0.65855883072],
13026  [-0.47847121983, 0.76451663624, -0.15546523031],
13027  [-0.91010477465, -0.55954789069, -0.29571054106],
13028  [ 0.56247731086, -0.55954752935, -0.77418047213],
13029  [-0.95694093209, -0.04950663948, 0.00000000000],
13030  [ 0.77418175981, -0.04950606747, -0.56247538966],
13031  [ 0.47846978647, 0.76451743521, -0.15546490866],
13032  [-0.77418226189, 0.45358836722, 0.25154596352],
13033  [-0.29571189915, 0.76451766217, 0.40701080265],
13034  [-0.91010512479, -0.55954660028, 0.29571170910],
13035  [ 0.91010596067, -0.55954540107, -0.29570979682],
13036  [ 0.29571042595, 0.76451835713, 0.40701088203],
13037  [-0.77418242144, -0.04950619415, 0.56247611515],
13038  [ 0.95694108050, -0.04950504154, 0.00000064329],
13039  [ 0.77418137644, 0.45358956078, 0.25154726763],
13040  [-0.00000111921, 0.45358920714, 0.81402306114],
13041  [-0.56247597879, -0.55954686649, 0.77418252668],
13042  [ 0.91010530014, -0.55954544802, 0.29571211403],
13043  [-0.29571142443, -0.04950491702, 0.91010501602],
13044  [ 0.77418171999, -0.04950411962, 0.56247643398],
13045  [ 0.29571120761, -0.04950452243, 0.91010599849],
13046  [ 0.00000000246, -0.55954544802, 0.95694236361],
13047  [ 0.56247573694, -0.55954544802, 0.77418298581]
13048  ],
13049  [
13050  [0.95822113672, -170.49583498694, 161.76596488434],
13051  [0.93186664410, 136.52927210381, 134.96779368112],
13052  [0.95822157196, -176.34104063324, 125.94445346544],
13053  [0.95822108920, -9.50402750993, 161.76595833857],
13054  [1.10852562688, -135.14948243355, 134.29784580563],
13055  [1.10852583135, -89.99994644362, 149.68407561018],
13056  [0.91519980089, 90.00005301896, 123.34714343572],
13057  [0.93186672465, 43.47073178910, 134.96779741265],
13058  [0.91519934065, 122.04030938060, 99.78028089231],
13059  [1.10852571775, -148.41609246609, 105.47157038289],
13060  [1.10852585277, -44.85039214107, 134.29776647842],
13061  [0.95822067128, -177.03848495436, 89.99999999999],
13062  [0.95822064887, -3.65887195234, 125.94439716652],
13063  [0.91519920407, 57.95979473503, 99.78026193281],
13064  [0.93186691822, 149.63423908245, 74.33944346159],
13065  [0.91519974680, 111.14624003449, 63.59435249830],
13066  [1.10852566545, -148.41616125470, 74.52836622701],
13067  [1.10852523627, -31.58376047971, 105.47153735774],
13068  [0.91519988663, 68.85387352729, 63.59435129650],
13069  [0.95822161583, -176.34112182907, 54.05559117250],
13070  [0.95822073693, -2.96141916771, 89.99996153518],
13071  [0.93186711559, 30.36585526022, 74.33936358877],
13072  [0.93186732581, 90.00014137402, 29.12738751736],
13073  [1.10852627715, -135.14957395225, 45.70210655316],
13074  [1.10852533581, -31.58378117786, 74.52833979468],
13075  [0.95822081147, -170.49626898878, 18.23404089897],
13076  [0.95822112907, -3.65872857032, 54.05554652187],
13077  [0.95822165731, -9.50366348139, 18.23400667270],
13078  [1.10852595625, -89.99999974766, 30.31577436289],
13079  [1.10852575909, -44.85036574328, 45.70204726816]
13080  ],
13081  [
13082  [11,9,2],
13083  [16,9,11],
13084  [19,16,11],
13085  [23,16,19],
13086  [25,23,19],
13087  [28,23,25],
13088  [27,28,25],
13089  [29,28,27],
13090  [26,29,27],
13091  [24,29,26],
13092  [18,22,15],
13093  [27,25,22],
13094  [13,21,18],
13095  [20,26,21],
13096  [6,7,13],
13097  [3,12,7],
13098  [8,1,6],
13099  [2,0,1],
13100  [15,14,8],
13101  [19,11,14],
13102  [20,24,26],
13103  [17,24,20],
13104  [12,17,20],
13105  [10,17,12],
13106  [3,10,12],
13107  [5,10,3],
13108  [0,5,3],
13109  [4,5,0],
13110  [2,4,0],
13111  [9,4,2],
13112  [8,6,13,18,15],
13113  [22,25,19,14,15],
13114  [21,26,27,22,18],
13115  [7,12,20,21,13],
13116  [1,0,3,7,6],
13117  [14,11,2,1,8],
13118  [29,24,17,10,5,4,9,16,23,28]
13119  ],
13120  [
13121  [0,1],
13122  [0,2],
13123  [0,3],
13124  [0,4],
13125  [0,5],
13126  [1,2],
13127  [1,6],
13128  [1,8],
13129  [2,4],
13130  [2,9],
13131  [2,11],
13132  [3,5],
13133  [3,7],
13134  [3,10],
13135  [3,12],
13136  [4,5],
13137  [4,9],
13138  [5,10],
13139  [6,7],
13140  [6,8],
13141  [6,13],
13142  [7,12],
13143  [7,13],
13144  [8,14],
13145  [8,15],
13146  [9,11],
13147  [9,16],
13148  [10,12],
13149  [10,17],
13150  [11,14],
13151  [11,16],
13152  [11,19],
13153  [12,17],
13154  [12,20],
13155  [13,18],
13156  [13,21],
13157  [14,15],
13158  [14,19],
13159  [15,18],
13160  [15,22],
13161  [16,19],
13162  [16,23],
13163  [17,20],
13164  [17,24],
13165  [18,21],
13166  [18,22],
13167  [19,23],
13168  [19,25],
13169  [20,21],
13170  [20,24],
13171  [20,26],
13172  [21,26],
13173  [22,25],
13174  [22,27],
13175  [23,25],
13176  [23,28],
13177  [24,26],
13178  [24,29],
13179  [25,27],
13180  [25,28],
13181  [26,27],
13182  [26,29],
13183  [27,28],
13184  [27,29],
13185  [28,29]
13186  ]
13187  ],
13188  [
13189  "johnson_gyroelongated_square_bicupola",
13190  "Gyroelongated Square Bicupola",
13191  "J45",
13192  "johnson",
13193  "Polyhedron Database #89",
13194  [
13195  [-0.67164442276, -0.31270999145, 0.67164442276],
13196  [-0.94984865176, -0.31270999145, -0.00000000000],
13197  [-0.19672009688, -0.82676437751, 0.47492432588],
13198  [-0.87754572834, 0.31270999145, 0.36349134228],
13199  [-0.00000000000, -0.31270999145, 0.94984865176],
13200  [-0.47492432588, -0.82676437751, -0.19672009688],
13201  [-0.36349134228, 0.31270999145, 0.87754572834],
13202  [-0.87754572834, 0.31270999145, -0.36349134228],
13203  [-0.67164442276, -0.31270999145, -0.67164442276],
13204  [ 0.47492432588, -0.82676437751, 0.19672009688],
13205  [-0.36349134228, 0.82676437751, 0.36349134228],
13206  [ 0.36349134228, 0.31270999145, 0.87754572834],
13207  [ 0.67164442276, -0.31270999145, 0.67164442276],
13208  [ 0.19672009688, -0.82676437751, -0.47492432588],
13209  [-0.36349134228, 0.82676437751, -0.36349134228],
13210  [-0.36349134228, 0.31270999145, -0.87754572834],
13211  [ 0.00000000000, -0.31270999145, -0.94984865176],
13212  [ 0.36349134228, 0.82676437751, 0.36349134228],
13213  [ 0.94984865176, -0.31270999145, 0.00000000000],
13214  [ 0.87754572834, 0.31270999145, 0.36349134228],
13215  [ 0.67164442276, -0.31270999145, -0.67164442276],
13216  [ 0.36349134228, 0.82676437751, -0.36349134228],
13217  [ 0.36349134228, 0.31270999145, -0.87754572834],
13218  [ 0.87754572834, 0.31270999145, -0.36349134228]
13219  ],
13220  [
13221  [1.00000000000, -155.03384957251, 47.80589064815],
13222  [1.00000000000, -161.77737671141, 90.00000000000],
13223  [0.97354570912, -103.38406577317, 60.80197889730],
13224  [1.00000000000, 160.38667322856, 68.68523321432],
13225  [1.00000000000, -90.00000000001, 18.22262328858],
13226  [0.97354570912, -119.87466799726, 101.65777569438],
13227  [1.00000000000, 139.29473544052, 28.65229139610],
13228  [1.00000000000, 160.38667322856, 111.31476678568],
13229  [1.00000000000, -155.03384957250, 132.19410935183],
13230  [0.97354570912, -60.12533200274, 78.34222430560],
13231  [0.97354570912, 113.73294603803, 68.07648537032],
13232  [1.00000000000, 40.70526455949, 28.65229139609],
13233  [1.00000000000, -24.96615042748, 47.80589064815],
13234  [0.97354570912, -76.61593422683, 119.19802110269],
13235  [0.97354570912, 113.73294603803, 111.92351462968],
13236  [1.00000000000, 139.29473544050, 151.34770860390],
13237  [1.00000000000, -89.99999999999, 161.77737671141],
13238  [0.97354570912, 66.26705396195, 68.07648537032],
13239  [1.00000000000, -18.22262328858, 89.99999999999],
13240  [1.00000000000, 19.61332677142, 68.68523321431],
13241  [1.00000000000, -24.96615042748, 132.19410935183],
13242  [0.97354570912, 66.26705396195, 111.92351462967],
13243  [1.00000000000, 40.70526455946, 151.34770860389],
13244  [1.00000000000, 19.61332677142, 111.31476678567]
13245  ],
13246  [
13247  [2,9,13,5],
13248  [16,8,5,13],
13249  [20,16,13],
13250  [18,20,13,9],
13251  [12,18,9],
13252  [4,12,9,2],
13253  [0,4,2],
13254  [1,0,2,5],
13255  [8,1,5],
13256  [17,10,14,21],
13257  [15,22,21,14],
13258  [7,15,14],
13259  [3,7,14,10],
13260  [6,3,10],
13261  [11,6,10,17],
13262  [19,11,17],
13263  [23,19,17,21],
13264  [22,23,21],
13265  [4,11,12],
13266  [6,11,4],
13267  [0,6,4],
13268  [3,6,0],
13269  [1,3,0],
13270  [7,3,1],
13271  [8,7,1],
13272  [15,7,8],
13273  [16,15,8],
13274  [22,15,16],
13275  [20,22,16],
13276  [23,22,20],
13277  [18,23,20],
13278  [19,23,18],
13279  [12,19,18],
13280  [11,19,12]
13281  ],
13282  [
13283  [0,1],
13284  [0,2],
13285  [0,3],
13286  [0,4],
13287  [0,6],
13288  [1,3],
13289  [1,5],
13290  [1,7],
13291  [1,8],
13292  [2,4],
13293  [2,5],
13294  [2,9],
13295  [3,6],
13296  [3,7],
13297  [3,10],
13298  [4,6],
13299  [4,11],
13300  [4,12],
13301  [5,8],
13302  [5,13],
13303  [6,10],
13304  [6,11],
13305  [7,8],
13306  [7,14],
13307  [7,15],
13308  [8,15],
13309  [8,16],
13310  [9,12],
13311  [9,13],
13312  [9,18],
13313  [10,14],
13314  [10,17],
13315  [11,12],
13316  [11,17],
13317  [11,19],
13318  [12,18],
13319  [12,19],
13320  [13,16],
13321  [13,20],
13322  [14,15],
13323  [14,21],
13324  [15,16],
13325  [15,22],
13326  [16,20],
13327  [16,22],
13328  [17,19],
13329  [17,21],
13330  [18,19],
13331  [18,20],
13332  [18,23],
13333  [19,23],
13334  [20,22],
13335  [20,23],
13336  [21,22],
13337  [21,23],
13338  [22,23]
13339  ]
13340  ],
13341  [
13342  "johnson_gyroelongated_square_cupola",
13343  "Gyroelongated Square Cupola",
13344  "J23",
13345  "johnson",
13346  "George W. Hart, Jan 1996. george@li.net",
13347  [
13348  [-0.96831824071, -0.48735789808, -0.00000021782],
13349  [-0.89460886676, 0.15022236527, -0.37055936263],
13350  [-0.89460971347, 0.15022270720, 0.37055897703],
13351  [-0.68470429246, -0.48735861816, -0.68470365097],
13352  [-0.68470496770, -0.48735791416, 0.68470376160],
13353  [-0.37055870008, 0.15022287729, -0.89460872578],
13354  [-0.37055878003, 0.67427256429, -0.37055942621],
13355  [-0.37055962674, 0.67427290622, 0.37055891344],
13356  [-0.37055949289, 0.15022274465, 0.89460972991],
13357  [ 0.00000044250, -0.48735861593, -0.96831714338],
13358  [-0.00000000000, -0.48735834348, 0.96831813960],
13359  [ 0.37055989763, 0.15022262334, -0.89460821149],
13360  [ 0.37055981768, 0.67427231034, -0.37055891192],
13361  [ 0.37055897097, 0.67427265227, 0.37055942773],
13362  [ 0.37055911845, 0.15022321079, 0.89460955045],
13363  [ 0.68470442408, -0.48735832740, -0.68470348109],
13364  [ 0.68470373520, -0.48735834348, 0.68470462523],
13365  [ 0.89460914945, 0.15022268476, -0.37055889419],
13366  [ 0.89460930250, 0.15022302892, 0.37055946742],
13367  [ 0.96831769709, -0.48735834348, 0.00000049832]
13368  ],
13369  [
13370  [1.08404701748, -153.28373061952, 90.00001151235],
13371  [0.97990102804, 170.46784429609, 112.21975466419],
13372  [0.97990170765, 170.46783185384, 67.78028592334],
13373  [1.08404680732, -144.55751073826, 129.16960868243],
13374  [1.08404698719, -144.55757653316, 50.83039152070],
13375  [0.97990072727, 157.93258151997, 155.91745452484],
13376  [0.85397399771, 118.79179713591, 115.71681727051],
13377  [0.85397441259, 118.79184013101, 64.28323432190],
13378  [0.97990192348, 157.93264181446, 24.08255807837],
13379  [1.08404636002, -89.99994797752, 153.28367065477],
13380  [1.08404712741, -89.99999999999, 26.71629281115],
13381  [0.97990067168, 22.06732028695, 155.91738810322],
13382  [0.85397402430, 61.20812603511, 115.71677811230],
13383  [0.85397415069, 61.20819355785, 64.28318755987],
13384  [0.97990168950, 22.06744024340, 24.08255318471],
13385  [1.08404665244, -35.44246790965, 129.16960377050],
13386  [1.08404694722, -35.44249603594, 50.83033092297],
13387  [0.97990115796, 9.53217264748, 112.21972197428],
13388  [0.97990156721, 9.53219248419, 67.78025159509],
13389  [1.08404673214, -26.71630332593, 89.99997366202]
13390  ],
13391  [
13392  [2,0,1],
13393  [4,0,2],
13394  [8,4,2],
13395  [10,4,8],
13396  [14,10,8],
13397  [16,10,14],
13398  [18,16,14],
13399  [19,16,18],
13400  [18,14,13],
13401  [11,17,12],
13402  [1,5,6],
13403  [8,2,7],
13404  [17,19,18],
13405  [17,15,19],
13406  [11,15,17],
13407  [9,15,11],
13408  [5,9,11],
13409  [3,9,5],
13410  [1,3,5],
13411  [0,3,1],
13412  [6,12,13,7],
13413  [14,8,7,13],
13414  [17,18,13,12],
13415  [5,11,12,6],
13416  [2,1,6,7],
13417  [16,19,15,9,3,0,4,10]
13418  ],
13419  [
13420  [0,1],
13421  [0,2],
13422  [0,3],
13423  [0,4],
13424  [1,2],
13425  [1,3],
13426  [1,5],
13427  [1,6],
13428  [2,4],
13429  [2,7],
13430  [2,8],
13431  [3,5],
13432  [3,9],
13433  [4,8],
13434  [4,10],
13435  [5,6],
13436  [5,9],
13437  [5,11],
13438  [6,7],
13439  [6,12],
13440  [7,8],
13441  [7,13],
13442  [8,10],
13443  [8,14],
13444  [9,11],
13445  [9,15],
13446  [10,14],
13447  [10,16],
13448  [11,12],
13449  [11,15],
13450  [11,17],
13451  [12,13],
13452  [12,17],
13453  [13,14],
13454  [13,18],
13455  [14,16],
13456  [14,18],
13457  [15,17],
13458  [15,19],
13459  [16,18],
13460  [16,19],
13461  [17,18],
13462  [17,19],
13463  [18,19]
13464  ]
13465  ],
13466  [
13467  "johnson_gyroelongated_square_dipyramid",
13468  "Gyroelongated Square Dipyramid",
13469  "J17",
13470  "johnson",
13471  "Polyhedron Database #61",
13472  [
13473  [-0.44343735335, 0.37288488082, -0.44343735335],
13474  [ 0.00000000000, -0.37288488082, -0.62711511918],
13475  [-0.62711511918, -0.37288488082, 0.00000000000],
13476  [ 0.44343735335, 0.37288488082, -0.44343735335],
13477  [ 0.00000000000, 1.00000000000, 0.00000000000],
13478  [ 0.00000000000, -1.00000000000, 0.00000000000],
13479  [-0.44343735335, 0.37288488082, 0.44343735335],
13480  [ 0.62711511918, -0.37288488082, 0.00000000000],
13481  [-0.00000000000, -0.37288488082, 0.62711511918],
13482  [ 0.44343735335, 0.37288488082, 0.44343735335]
13483  ],
13484  [
13485  [0.72960023783, 139.93964097363, 127.42924609280],
13486  [0.72960023783, -89.99999999998, 149.26413289763],
13487  [0.72960023783, -149.26413289763, 89.99999999999],
13488  [0.72960023783, 40.06035902637, 127.42924609279],
13489  [1.00000000000, 89.99999999999, 89.99999999999],
13490  [1.00000000000, -89.99999999999, 89.99999999999],
13491  [0.72960023783, 139.93964097364, 52.57075390718],
13492  [0.72960023783, -30.73586710236, 89.99999999999],
13493  [0.72960023783, -90.00000000001, 30.73586710237],
13494  [0.72960023783, 40.06035902636, 52.57075390719]
13495  ],
13496  [
13497  [9,8,6],
13498  [7,8,9],
13499  [3,7,9],
13500  [1,7,3],
13501  [0,1,3],
13502  [2,1,0],
13503  [6,2,0],
13504  [8,2,6],
13505  [4,9,6],
13506  [4,3,9],
13507  [4,0,3],
13508  [4,6,0],
13509  [5,8,7],
13510  [5,7,1],
13511  [5,1,2],
13512  [5,2,8]
13513  ],
13514  [
13515  [0,1],
13516  [0,2],
13517  [0,3],
13518  [0,4],
13519  [0,6],
13520  [1,2],
13521  [1,3],
13522  [1,5],
13523  [1,7],
13524  [2,5],
13525  [2,6],
13526  [2,8],
13527  [3,4],
13528  [3,7],
13529  [3,9],
13530  [4,6],
13531  [4,9],
13532  [5,7],
13533  [5,8],
13534  [6,8],
13535  [6,9],
13536  [7,8],
13537  [7,9],
13538  [8,9]
13539  ]
13540  ],
13541  [
13542  "johnson_gyroelongated_square_pyramid",
13543  "Gyroelongated Square Pyramid",
13544  "J10",
13545  "johnson",
13546  "Polyhedron Database #54",
13547  [
13548  [-0.49886702252, 0.29449549093, 0.49886702252],
13549  [-0.70550450907, -0.54449549093, 0.00000000000],
13550  [ 0.00000000000, -0.54449549093, 0.70550450907],
13551  [-0.49886702252, 0.29449549093, -0.49886702252],
13552  [ 0.49886702252, 0.29449549093, 0.49886702252],
13553  [ 0.00000000000, 1.00000000000, -0.00000000000],
13554  [ 0.00000000000, -0.54449549093, -0.70550450907],
13555  [ 0.70550450907, -0.54449549093, 0.00000000000],
13556  [ 0.49886702252, 0.29449549093, -0.49886702252]
13557  ],
13558  [
13559  [0.76450258763, 149.44542958801, 49.26676609489],
13560  [0.89118570004, -142.33969611372, 89.99999999999],
13561  [0.89118570004, -89.99999999999, 37.66030388627],
13562  [0.76450258763, 149.44542958801, 130.73323390511],
13563  [0.76450258763, 30.55457041198, 49.26676609488],
13564  [1.00000000000, 89.99999999999, 89.99999999999],
13565  [0.89118570004, -89.99999999999, 142.33969611372],
13566  [0.89118570004, -37.66030388627, 89.99999999999],
13567  [0.76450258763, 30.55457041197, 130.73323390510]
13568  ],
13569  [
13570  [8,7,4],
13571  [6,7,8],
13572  [3,6,8],
13573  [1,6,3],
13574  [0,1,3],
13575  [2,1,0],
13576  [4,2,0],
13577  [7,2,4],
13578  [5,8,4],
13579  [5,3,8],
13580  [5,0,3],
13581  [5,4,0],
13582  [2,7,6,1]
13583  ],
13584  [
13585  [0,1],
13586  [0,2],
13587  [0,3],
13588  [0,4],
13589  [0,5],
13590  [1,2],
13591  [1,3],
13592  [1,6],
13593  [2,4],
13594  [2,7],
13595  [3,5],
13596  [3,6],
13597  [3,8],
13598  [4,5],
13599  [4,7],
13600  [4,8],
13601  [5,8],
13602  [6,7],
13603  [6,8],
13604  [7,8]
13605  ]
13606  ],
13607  [
13608  "johnson_gyroelongated_triangular_bicupola",
13609  "Gyroelongated Triangular Bicupola",
13610  "J44",
13611  "johnson",
13612  "Polyhedron Database #88",
13613  [
13614  [ 0.63134418058, -0.31187184274, 0.36450673261],
13615  [ 0.72901346521, 0.31187184274, 0.00000000000],
13616  [ 0.36450673261, 0.31187184274, 0.63134418058],
13617  [ 0.36450673261, 0.90710884454, 0.21044806019],
13618  [ 0.63134418058, -0.31187184274, -0.36450673261],
13619  [-0.00000000000, -0.31187184274, 0.72901346521],
13620  [ 0.42089612038, -0.90710884454, 0.00000000000],
13621  [ 0.36450673261, 0.31187184274, -0.63134418058],
13622  [-0.36450673261, 0.31187184274, 0.63134418058],
13623  [ 0.00000000000, 0.90710884454, -0.42089612038],
13624  [-0.36450673261, 0.90710884454, 0.21044806019],
13625  [-0.21044806019, -0.90710884454, 0.36450673261],
13626  [ 0.00000000000, -0.31187184274, -0.72901346521],
13627  [-0.63134418058, -0.31187184274, 0.36450673261],
13628  [-0.21044806019, -0.90710884454, -0.36450673261],
13629  [-0.36450673261, 0.31187184274, -0.63134418058],
13630  [-0.72901346521, 0.31187184274, 0.00000000000],
13631  [-0.63134418058, -0.31187184274, -0.36450673261]
13632  ],
13633  [
13634  [0.79292160947, -26.28848321387, 62.63219484138],
13635  [0.79292160947, 23.16123122604, 89.99999999999],
13636  [0.79292160947, 40.55028556009, 37.22886588831],
13637  [1.00000000000, 68.10808531986, 77.85138899884],
13638  [0.79292160947, -26.28848321387, 117.36780515862],
13639  [0.79292160947, -90.00000000001, 23.16123122605],
13640  [1.00000000000, -65.10882375298, 89.99999999999],
13641  [0.79292160947, 40.55028556008, 142.77113411168],
13642  [0.79292160947, 139.44971443989, 37.22886588831],
13643  [1.00000000000, 89.99999999999, 114.89117624701],
13644  [1.00000000000, 111.89191468012, 77.85138899885],
13645  [1.00000000000, -103.06147965387, 68.62277065625],
13646  [0.79292160947, -89.99999999999, 156.83876877394],
13647  [0.79292160947, -153.71151678613, 62.63219484138],
13648  [1.00000000000, -103.06147965386, 111.37722934374],
13649  [0.79292160947, 139.44971443989, 142.77113411168],
13650  [0.79292160947, 156.83876877394, 89.99999999999],
13651  [0.79292160947, -153.71151678613, 117.36780515861]
13652  ],
13653  [
13654  [6,14,11],
13655  [17,13,11,14],
13656  [12,17,14],
13657  [4,12,14,6],
13658  [0,4,6],
13659  [5,0,6,11],
13660  [13,5,11],
13661  [3,10,9],
13662  [16,15,9,10],
13663  [8,16,10],
13664  [2,8,10,3],
13665  [1,2,3],
13666  [7,1,3,9],
13667  [15,7,9],
13668  [0,1,4],
13669  [2,1,0],
13670  [5,2,0],
13671  [8,2,5],
13672  [13,8,5],
13673  [16,8,13],
13674  [17,16,13],
13675  [15,16,17],
13676  [12,15,17],
13677  [7,15,12],
13678  [4,7,12],
13679  [1,7,4]
13680  ],
13681  [
13682  [0,1],
13683  [0,2],
13684  [0,4],
13685  [0,5],
13686  [0,6],
13687  [1,2],
13688  [1,3],
13689  [1,4],
13690  [1,7],
13691  [2,3],
13692  [2,5],
13693  [2,8],
13694  [3,9],
13695  [3,10],
13696  [4,6],
13697  [4,7],
13698  [4,12],
13699  [5,8],
13700  [5,11],
13701  [5,13],
13702  [6,11],
13703  [6,14],
13704  [7,9],
13705  [7,12],
13706  [7,15],
13707  [8,10],
13708  [8,13],
13709  [8,16],
13710  [9,10],
13711  [9,15],
13712  [10,16],
13713  [11,13],
13714  [11,14],
13715  [12,14],
13716  [12,15],
13717  [12,17],
13718  [13,16],
13719  [13,17],
13720  [14,17],
13721  [15,16],
13722  [15,17],
13723  [16,17]
13724  ]
13725  ],
13726  [
13727  "johnson_gyroelongated_triangular_cupola",
13728  "Gyroelongated Triangular Cupola",
13729  "J22",
13730  "johnson",
13731  "George W. Hart, Jan 1996. george@li.net",
13732  [
13733  [ 0.44529327448, 0.15936283250, -0.77127203187],
13734  [ 0.00000000000, -0.60262393500, -0.89058831560],
13735  [-0.44529488243, 0.15936276366, -0.77127156307],
13736  [ 0.00000001693, 0.88652471041, -0.51418057464],
13737  [ 0.77127140657, -0.60262419314, -0.44529512992],
13738  [-0.77127165651, -0.60262393500, -0.44529357949],
13739  [ 0.89058817596, 0.15936218866, -0.00000065070],
13740  [ 0.44529397235, 0.88652380844, 0.25709061076],
13741  [-0.89058829362, 0.15936188358, 0.00000126041],
13742  [-0.44529434033, 0.88652357219, 0.25709205307],
13743  [ 0.77127238676, -0.60262514463, 0.44529286947],
13744  [-0.77127162239, -0.60262514463, 0.44529422414],
13745  [ 0.44529492054, 0.15936147598, 0.77127119927],
13746  [-0.44529339214, 0.15936123973, 0.77127264158],
13747  [ 0.00000073025, -0.60262514463, 0.89058760558]
13748  ],
13749  [
13750  [0.90473375080, 19.69141822539, 148.48299894819],
13751  [1.07531537463, -89.99999999999, 145.91542858827],
13752  [0.90473413042, 160.30865526287, 148.48290294884],
13753  [1.02484522027, 89.99999890563, 120.11355143916],
13754  [1.07531542046, -38.00188799203, 114.46306257809],
13755  [1.07531481302, -141.99813292322, 114.46298654369],
13756  [0.90473399756, 10.14515657681, 90.00004120826],
13757  [1.02484475257, 63.32997959913, 75.47170388511],
13758  [0.90473405964, 169.85486375403, 89.99992017945],
13759  [1.02484506991, 116.67004551587, 75.47162518425],
13760  [1.07531572067, -38.00189655466, 65.53707702127],
13761  [1.07531573340, -141.99807589644, 65.53699803049],
13762  [0.90473361224, 19.69119630759, 31.51708760770],
13763  [0.90473404792, 160.30876824950, 31.51695787360],
13764  [1.07531546449, -89.99993057001, 34.08464599345]
13765  ],
13766  [
13767  [2,1,0],
13768  [5,1,2],
13769  [8,5,2],
13770  [11,5,8],
13771  [13,11,8],
13772  [14,11,13],
13773  [7,9,3],
13774  [13,8,9],
13775  [6,12,7],
13776  [2,0,3],
13777  [12,14,13],
13778  [10,14,12],
13779  [6,10,12],
13780  [4,10,6],
13781  [0,4,6],
13782  [1,4,0],
13783  [8,2,3,9],
13784  [12,13,9,7],
13785  [0,6,7,3],
13786  [14,10,4,1,5,11]
13787  ],
13788  [
13789  [0,1],
13790  [0,2],
13791  [0,3],
13792  [0,4],
13793  [0,6],
13794  [1,2],
13795  [1,4],
13796  [1,5],
13797  [2,3],
13798  [2,5],
13799  [2,8],
13800  [3,7],
13801  [3,9],
13802  [4,6],
13803  [4,10],
13804  [5,8],
13805  [5,11],
13806  [6,7],
13807  [6,10],
13808  [6,12],
13809  [7,9],
13810  [7,12],
13811  [8,9],
13812  [8,11],
13813  [8,13],
13814  [9,13],
13815  [10,12],
13816  [10,14],
13817  [11,13],
13818  [11,14],
13819  [12,13],
13820  [12,14],
13821  [13,14]
13822  ]
13823  ],
13824  [
13825  "johnson_hebesphenomegacorona",
13826  "Hebesphenomegacorona",
13827  "J89",
13828  "johnson",
13829  "Polyhedron Database #133",
13830  [
13831  [-0.44436577553, 0.10865575777, -0.63708044509],
13832  [-0.97875627619, -0.20502719776, -0.00000041459],
13833  [-0.74267607355, 0.65177442800, 0.00000045420],
13834  [-0.44436577553, -0.75892996467, -0.44436619012],
13835  [ 0.00000000000, 0.85380143750, -0.44436110679],
13836  [ 0.44436577553, 0.10865575777, -0.63708044509],
13837  [ 0.44436577553, -0.75892996467, -0.44436619012],
13838  [-0.44436577553, -0.75892996467, 0.44436536094],
13839  [-0.44436577553, 0.10865575777, 0.63707961591],
13840  [ 0.00000000000, 0.85380092963, 0.44436434428],
13841  [ 0.74267607355, 0.65177442800, 0.00000045420],
13842  [ 0.97875627619, -0.20502719776, -0.00000041459],
13843  [ 0.44436577553, -0.75892996467, 0.44436536094],
13844  [ 0.44436577553, 0.10865575777, 0.63707961591]
13845  ],
13846  [
13847  [0.78430766264, 166.25971517264, 144.31967335649],
13848  [1.00000000000, -168.16890881610, 90.00002375411],
13849  [0.98811823949, 138.72972856946, 89.99997366353],
13850  [0.98534102962, -120.34966351979, 116.80638771671],
13851  [0.96251425336, 89.99999999999, 117.49473099885],
13852  [0.78430766264, 13.74028482734, 144.31967335649],
13853  [0.98534102962, -59.65033648019, 116.80638771670],
13854  [0.98534065568, -120.34966351979, 63.19365531690],
13855  [0.78430698911, 166.25971517264, 35.68036197375],
13856  [0.96251529749, 89.99999999999, 62.50508409268],
13857  [0.98811823949, 41.27027143053, 89.99997366353],
13858  [1.00000000000, -11.83109118388, 90.00002375411],
13859  [0.98534065568, -59.65033648019, 63.19365531690],
13860  [0.78430698911, 13.74028482736, 35.68036197374]
13861  ],
13862  [
13863  [13,12,7,8],
13864  [13,8,9],
13865  [2,8,1],
13866  [8,7,1],
13867  [10,11,13],
13868  [11,12,13],
13869  [9,8,2],
13870  [10,13,9],
13871  [7,12,6,3],
13872  [11,6,12],
13873  [1,7,3],
13874  [0,3,6,5],
13875  [0,5,4],
13876  [10,5,11],
13877  [5,6,11],
13878  [2,1,0],
13879  [1,3,0],
13880  [9,4,10],
13881  [4,5,10],
13882  [9,2,4],
13883  [2,0,4]
13884  ],
13885  [
13886  [0,1],
13887  [0,2],
13888  [0,3],
13889  [0,4],
13890  [0,5],
13891  [1,2],
13892  [1,3],
13893  [1,7],
13894  [1,8],
13895  [2,4],
13896  [2,8],
13897  [2,9],
13898  [3,6],
13899  [3,7],
13900  [4,5],
13901  [4,9],
13902  [4,10],
13903  [5,6],
13904  [5,10],
13905  [5,11],
13906  [6,11],
13907  [6,12],
13908  [7,8],
13909  [7,12],
13910  [8,9],
13911  [8,13],
13912  [9,10],
13913  [9,13],
13914  [10,11],
13915  [10,13],
13916  [11,12],
13917  [11,13],
13918  [12,13]
13919  ]
13920  ],
13921  [
13922  "johnson_metabiaugmented_dodecahedron",
13923  "Metabiaugmented Dodecahedron",
13924  "J60",
13925  "johnson",
13926  "Polyhedron Database #104",
13927  [
13928  [ 0.00000000000, 0.65452059129, 0.55759222022],
13929  [ 0.50581020974, 0.65452059129, 0.19009959174],
13930  [-0.50581020974, 0.65452059129, 0.19009959174],
13931  [ 0.31260790148, 0.65452059129, -0.40451597176],
13932  [-0.31260790148, 0.65452059129, -0.40451597176],
13933  [ 0.87181791589, 0.41667436589, -0.25751892036],
13934  [-0.00000000000, 0.12268026311, 0.88628761962],
13935  [-0.87181791589, 0.41667436589, -0.25751892036],
13936  [ 0.81841811122, 0.12268026311, 0.29167205613],
13937  [-0.81841811122, 0.12268026311, 0.29167205613],
13938  [ 0.50581020974, -0.20601513629, 0.72193991992],
13939  [ 0.50581020974, 0.12268026311, -0.67043613585],
13940  [-0.50581020974, -0.20601513629, 0.72193991992],
13941  [-0.50581020974, 0.12268026311, -0.67043613585],
13942  [ 0.81841811122, -0.20601513629, -0.24016827205],
13943  [-0.81841811122, -0.20601513629, -0.24016827205],
13944  [ 0.00000000000, -0.20601513629, -0.83478383555],
13945  [ 0.31260790148, -0.73785546447, 0.45601975583],
13946  [-0.31260790148, -0.73785546447, 0.45601975583],
13947  [ 0.50581020974, -0.73785546447, -0.13859580767],
13948  [-0.50581020974, -0.73785546447, -0.13859580767],
13949  [ 0.00000000000, -0.73785546447, -0.50608843614]
13950  ],
13951  [
13952  [0.85982922053, 89.99999999999, 49.57201179471],
13953  [0.84875145213, 52.30333159337, 77.05735458332],
13954  [0.84875145213, 127.69666840662, 77.05735458333],
13955  [0.83051434419, 64.47022703079, 119.14797310171],
13956  [0.83051434419, 115.52977296919, 119.14797310172],
13957  [1.00000000000, 25.54487872109, 104.92289443691],
13958  [0.89473805756, 90.00000000004, 7.88082507815],
13959  [1.00000000000, 154.45512127889, 104.92289443692],
13960  [0.87745725825, 8.52512014166, 70.58512496627],
13961  [0.87745725825, 171.47487985833, 70.58512496628],
13962  [0.90525325331, -22.16093532961, 37.10792400551],
13963  [0.84875145213, 13.63337181501, 142.17697794898],
13964  [0.90525325331, -157.83906467039, 37.10792400552],
13965  [0.84875145213, 166.36662818497, 142.17697794900],
13966  [0.87745725825, -14.12915047757, 105.88511571547],
13967  [0.87745725825, -165.87084952241, 105.88511571547],
13968  [0.85982922053, -89.99999999997, 166.13706297176],
13969  [0.92201323430, -67.03903927567, 60.35719392757],
13970  [0.92201323430, -112.96096072433, 60.35719392758],
13971  [0.90525325331, -55.56881898970, 98.80671736121],
13972  [0.90525325331, -124.43118101028, 98.80671736121],
13973  [0.89473805756, -89.99999999999, 124.44587625521]
13974  ],
13975  [
13976  [1,8,10,6,0],
13977  [17,10,8,14,19],
13978  [3,1,0,2,4],
13979  [2,0,6,12,9],
13980  [12,6,10,17,18],
13981  [18,20,15,9,12],
13982  [4,13,16,11,3],
13983  [11,16,21,19,14],
13984  [19,21,20,18,17],
13985  [16,13,15,20,21],
13986  [15,13,7],
13987  [9,15,7],
13988  [13,4,7],
13989  [4,2,7],
13990  [9,7,2],
13991  [8,1,5],
13992  [14,8,5],
13993  [1,3,5],
13994  [3,11,5],
13995  [14,5,11]
13996  ],
13997  [
13998  [0,1],
13999  [0,2],
14000  [0,6],
14001  [1,3],
14002  [1,5],
14003  [1,8],
14004  [2,4],
14005  [2,7],
14006  [2,9],
14007  [3,4],
14008  [3,5],
14009  [3,11],
14010  [4,7],
14011  [4,13],
14012  [5,8],
14013  [5,11],
14014  [5,14],
14015  [6,10],
14016  [6,12],
14017  [7,9],
14018  [7,13],
14019  [7,15],
14020  [8,10],
14021  [8,14],
14022  [9,12],
14023  [9,15],
14024  [10,17],
14025  [11,14],
14026  [11,16],
14027  [12,18],
14028  [13,15],
14029  [13,16],
14030  [14,19],
14031  [15,20],
14032  [16,21],
14033  [17,18],
14034  [17,19],
14035  [18,20],
14036  [19,21],
14037  [20,21]
14038  ]
14039  ],
14040  [
14041  "johnson_metabiaugmented_hexagonal_prism",
14042  "Metabiaugmented Hexagonal Prism",
14043  "J56",
14044  "johnson",
14045  "Polyhedron Database #100",
14046  [
14047  [-0.89625815953, 0.00000000000, -0.44353276257],
14048  [-0.32893287329, -0.32893287329, -0.49580632172],
14049  [-0.32893287329, 0.32893287329, -0.49580632172],
14050  [-0.65786574658, -0.32893287329, 0.07392212710],
14051  [-0.65786574658, 0.32893287329, 0.07392212710],
14052  [ 0.32893287329, -0.32893287329, -0.49580632172],
14053  [ 0.32893287329, 0.32893287329, -0.49580632172],
14054  [ 0.89625815953, 0.00000000000, -0.44353276257],
14055  [-0.32893287329, -0.32893287329, 0.64365057591],
14056  [-0.32893287329, 0.32893287329, 0.64365057591],
14057  [ 0.65786574658, -0.32893287329, 0.07392212710],
14058  [ 0.65786574658, 0.32893287329, 0.07392212710],
14059  [ 0.32893287329, -0.32893287329, 0.64365057591],
14060  [ 0.32893287329, 0.32893287329, 0.64365057591]
14061  ],
14062  [
14063  [1.00000000000, 179.99999999999, 116.32950349168],
14064  [0.67986585362, -134.99999999998, 136.82529826622],
14065  [0.67986585362, 134.99999999999, 136.82529826623],
14066  [0.73922165589, -153.43494882292, 84.26083252128],
14067  [0.73922165589, 153.43494882291, 84.26083252129],
14068  [0.67986585362, -45.00000000000, 136.82529826621],
14069  [0.67986585362, 45.00000000000, 136.82529826623],
14070  [1.00000000000, 0.00000000000, 116.32950349167],
14071  [0.79415347014, -135.00000000000, 35.85652010693],
14072  [0.79415347014, 134.99999999998, 35.85652010693],
14073  [0.73922165589, -26.56505117708, 84.26083252129],
14074  [0.73922165589, 26.56505117708, 84.26083252129],
14075  [0.79415347014, -44.99999999999, 35.85652010693],
14076  [0.79415347014, 44.99999999999, 35.85652010693]
14077  ],
14078  [
14079  [10,5,1,3,8,12],
14080  [11,13,9,4,2,6],
14081  [9,13,12,8],
14082  [4,9,8,3],
14083  [6,2,1,5],
14084  [13,11,10,12],
14085  [1,0,3],
14086  [0,4,3],
14087  [2,0,1],
14088  [4,0,2],
14089  [10,7,5],
14090  [7,6,5],
14091  [11,7,10],
14092  [6,7,11]
14093  ],
14094  [
14095  [0,1],
14096  [0,2],
14097  [0,3],
14098  [0,4],
14099  [1,2],
14100  [1,3],
14101  [1,5],
14102  [2,4],
14103  [2,6],
14104  [3,4],
14105  [3,8],
14106  [4,9],
14107  [5,6],
14108  [5,7],
14109  [5,10],
14110  [6,7],
14111  [6,11],
14112  [7,10],
14113  [7,11],
14114  [8,9],
14115  [8,12],
14116  [9,13],
14117  [10,11],
14118  [10,12],
14119  [11,13],
14120  [12,13]
14121  ]
14122  ],
14123  [
14124  "johnson_metabiaugmented_truncated_dodecahedron",
14125  "Metabiaugmented Truncated Dodecahedron",
14126  "J70",
14127  "johnson",
14128  "Polyhedron Database #114",
14129  [
14130  [-0.66818117088, 0.60033076150, 0.25439741143],
14131  [-0.66818117088, 0.43567601216, 0.52081439227],
14132  [-0.38805377963, 0.71947605740, 0.32803325390],
14133  [-0.38805377963, 0.55482130806, 0.59445023474],
14134  [-0.82477714317, 0.43567601216, 0.03886154634],
14135  [-0.82477714317, 0.16925903132, 0.46993327652],
14136  [-0.48483541301, 0.71947605740, 0.03017001414],
14137  [-0.48483541301, 0.28840432722, 0.72765872515],
14138  [-0.92155877655, 0.16925903132, 0.17207003676],
14139  [-0.13467617395, 0.71947605740, 0.51212286007],
14140  [-0.64143138531, 0.55482130806, -0.18536585095],
14141  [-0.64143138531, 0.02198734639, 0.67677760940],
14142  [-0.38805377963, 0.71947605740, -0.26769322561],
14143  [-0.79802735760, 0.28840432722, -0.23624696670],
14144  [-0.79802735760, -0.14266740295, 0.46124174432],
14145  [-0.38805377963, 0.02198734639, 0.86086721557],
14146  [ 0.17851577064, 0.71947605740, 0.51212286007],
14147  [-0.89480899098, 0.02198734639, -0.10303847628],
14148  [-0.89480899098, -0.14266740295, 0.16337850456],
14149  [-0.13467617395, 0.71947605740, -0.45178283178],
14150  [-0.79802735760, 0.02198734639, -0.40090171603],
14151  [-0.79802735760, -0.40908438379, 0.29658699498],
14152  [-0.13467617395, -0.14266740295, 0.94319459024],
14153  [ 0.43189337632, 0.71947605740, 0.32803325390],
14154  [ 0.43189337632, 0.55482130806, 0.59445023474],
14155  [ 0.17851577064, 0.71947605740, -0.45178283178],
14156  [ 0.17851577064, -0.14266740295, 0.94319459024],
14157  [ 0.52867500970, 0.71947605740, 0.03017001414],
14158  [ 0.52867500970, 0.28840432722, 0.72765872515],
14159  [ 0.02191979834, 0.55482130806, -0.66731869687],
14160  [ 0.43189337632, 0.71947605740, -0.26769322561],
14161  [-0.64143138531, -0.14266740295, -0.61643758112],
14162  [ 0.43189337632, 0.02198734639, 0.86086721557],
14163  [-0.64143138531, -0.67550136463, 0.24570587923],
14164  [ 0.02191979834, -0.40908438379, 0.89231347449],
14165  [ 0.44842565299, 0.60033076150, -0.55686493317],
14166  [ 0.02191979834, 0.28840432723, -0.83197344621],
14167  [ 0.68527098200, 0.55482130806, -0.18536585095],
14168  [-0.38805377963, -0.14266740295, -0.80052718729],
14169  [ 0.68527098199, 0.02198734639, 0.67677760940],
14170  [-0.38805377963, -0.84015611396, 0.32803325390],
14171  [ 0.02191979834, -0.67550136463, 0.72765872515],
14172  [ 0.29182968069, 0.43567601216, -0.77240079826],
14173  [-0.48483541301, -0.40908438379, -0.66731869687],
14174  [-0.48483541301, -0.84015611396, 0.03017001414],
14175  [-0.13467617395, 0.02198734639, -0.88285456196],
14176  [-0.13467617395, -0.84015611396, 0.51212286007],
14177  [ 0.70180325867, 0.43567601216, -0.47453755850],
14178  [-0.38805377963, -0.67550136463, -0.53411020645],
14179  [-0.38805377963, -0.84015611396, -0.26769322562],
14180  [ 0.17851577064, 0.02198734639, -0.88285456196],
14181  [ 0.84186695429, 0.28840432722, -0.23624696670],
14182  [ 0.84186695429, -0.14266740295, 0.46124174432],
14183  [ 0.17851577064, -0.84015611396, 0.51212286007],
14184  [ 0.44842565299, 0.16925903132, -0.82328191401],
14185  [ 0.70180325867, 0.16925903132, -0.63919230784],
14186  [ 0.93864858767, 0.02198734639, -0.10303847628],
14187  [ 0.93864858767, -0.14266740295, 0.16337850456],
14188  [-0.13467617395, -0.84015611396, -0.45178283178],
14189  [ 0.43189337632, -0.14266740295, -0.80052718729],
14190  [ 0.84186695429, 0.02198734639, -0.40090171603],
14191  [ 0.84186695429, -0.40908438379, 0.29658699498],
14192  [ 0.43189337632, -0.84015611396, 0.32803325390],
14193  [ 0.68527098199, -0.14266740295, -0.61643758112],
14194  [ 0.68527098199, -0.67550136463, 0.24570587923],
14195  [ 0.17851577064, -0.84015611396, -0.45178283178],
14196  [ 0.52867500970, -0.40908438379, -0.66731869687],
14197  [ 0.52867500970, -0.84015611396, 0.03017001414],
14198  [ 0.43189337632, -0.67550136463, -0.53411020645],
14199  [ 0.43189337632, -0.84015611396, -0.26769322562]
14200  ],
14201  [
14202  [0.93358510231, 138.06173000477, 74.18720315277],
14203  [0.95264227068, 146.89433256115, 56.85873829753],
14204  [0.88081629681, 118.34047371993, 68.13508204868],
14205  [0.90099028926, 124.96975685783, 48.71733832669],
14206  [0.93358510231, 152.15542564733, 87.61430842656],
14207  [0.96423194303, 168.40289318130, 60.83243712699],
14208  [0.86811370490, 123.97496206683, 88.00836845451],
14209  [0.92072235444, 149.25370372981, 37.78524082960],
14210  [0.95264227068, 169.59270165933, 79.59389312691],
14211  [0.89333828576, 100.60229971210, 55.02152324377],
14212  [0.86811370490, 139.14105502438, 102.32913315247],
14213  [0.93270874235, 178.03675170248, 43.48084621557],
14214  [0.86016928340, 118.34047371990, 108.13216183987],
14215  [0.88081629681, 160.13031954858, 105.55799709081],
14216  [0.93270874235, -169.86402107737, 60.36199416643],
14217  [0.94454303350, 176.75705620072, 24.29887970046],
14218  [0.90099028926, 76.06522828282, 55.36127348735],
14219  [0.90099028926, 178.59240496263, 96.56679074598],
14220  [0.92072235444, -170.94106941432, 79.77896790972],
14221  [0.86016928340, 100.60229971208, 121.68342424626],
14222  [0.89333828576, 178.42177901696, 116.66467330405],
14223  [0.94454303350, -152.85943813919, 71.69951390841],
14224  [0.96338346195, -133.34956679214, 11.75047499343],
14225  [0.90099028926, 59.02408059676, 68.64897626500],
14226  [0.92072235444, 52.10149359181, 49.78672561873],
14227  [0.86811370490, 76.06522828284, 121.36035872664],
14228  [0.97048333489, -38.63137793734, 13.61941034978],
14229  [0.89333828576, 53.69134721478, 88.06462649888],
14230  [0.94454303350, 28.61347820378, 39.61181698889],
14231  [0.86811370490, 87.73754344443, 140.23726129595],
14232  [0.88081629681, 59.02408059678, 107.69289557544],
14233  [0.90099028926, -167.46037423764, 133.17098241028],
14234  [0.96338346195, 2.91436628467, 26.67245590466],
14235  [0.96338346195, -133.51804832378, 75.22376410744],
14236  [0.98186243811, -86.93287717127, 24.66039123927],
14237  [0.93358510231, 53.24158127963, 126.61821699332],
14238  [0.88081629681, 85.65366439861, 160.82995871383],
14239  [0.90099028926, 38.99494026567, 101.87256851131],
14240  [0.90099028926, -159.81412256490, 152.68498654371],
14241  [0.96338346195, 1.83774031102, 45.37201414303],
14242  [0.98186243811, -114.79140976514, 70.48261384860],
14243  [0.99311116773, -88.14142286061, 42.88625198659],
14244  [0.93358510231, 56.18456363744, 145.82738215450],
14245  [0.92072235444, -139.84368945518, 136.45032811212],
14246  [0.97048333489, -119.98828863954, 88.21852372856],
14247  [0.89333828576, 170.72764701318, 171.21355734678],
14248  [0.99311116773, -99.10697923282, 58.95739897915],
14249  [0.95264227068, 31.83180698459, 119.87621057883],
14250  [0.94454303350, -119.87598020527, 124.43489540067],
14251  [0.96338346195, -114.79140976514, 106.13298839791],
14252  [0.90099028926, 7.02161557054, 168.48467373611],
14253  [0.92072235444, 18.91028488619, 104.86774444881],
14254  [0.97048333489, -9.61827819504, 61.62306013888],
14255  [1.00000000000, -78.00423628262, 59.19466387860],
14256  [0.95264227068, 20.67910013500, 149.79249260302],
14257  [0.96423194303, 13.55949803502, 131.52165445315],
14258  [0.94454303350, 1.34187791515, 96.26275556695],
14259  [0.96338346195, -8.64237406268, 80.23612074132],
14260  [0.96338346195, -99.10697923282, 117.96644026808],
14261  [0.92072235444, -18.27994669415, 150.39543571783],
14262  [0.93270874235, 1.49607467299, 115.45646702172],
14263  [0.98186243811, -25.91628579880, 72.41828196253],
14264  [1.00000000000, -62.79396984972, 70.85055459392],
14265  [0.93270874235, -11.76048501692, 131.36939717911],
14266  [0.99311116773, -44.58865402664, 75.67568330577],
14267  [0.97048333489, -78.00423628260, 117.74410953458],
14268  [0.94454303350, -37.73241017492, 134.95077255466],
14269  [0.99311116773, -57.81951398921, 88.25912693878],
14270  [0.96338346195, -57.40648803178, 123.67014249249],
14271  [0.98186243811, -62.79396984970, 105.82131670293]
14272  ],
14273  [
14274  [46,53,62,67,69,65,58,49,44,40],
14275  [53,46,41],
14276  [15,22,34,41,46,40,33,21,14,11],
14277  [34,22,26],
14278  [40,44,33],
14279  [17,18,21,33,44,49,48,43,31,20],
14280  [21,18,14],
14281  [49,58,48],
14282  [45,38,43,48,58,65,68,66,59,50],
14283  [43,38,31],
14284  [65,69,68],
14285  [60,63,66,68,69,67,64,61,57,56],
14286  [66,63,59],
14287  [67,62,64],
14288  [39,52,61,64,62,53,41,34,26,32],
14289  [61,52,57],
14290  [9,2,6,12,19,25,30,27,23,16],
14291  [2,9,3],
14292  [22,15,7,3,9,16,24,28,32,26],
14293  [7,15,11],
14294  [16,23,24],
14295  [52,39,28,24,23,27,37,51,56,57],
14296  [28,39,32],
14297  [27,30,37],
14298  [56,51,60],
14299  [25,19,29],
14300  [38,45,36,29,19,12,10,13,20,31],
14301  [36,45,50],
14302  [12,6,10],
14303  [20,13,17],
14304  [1,5,8,4,0],
14305  [10,6,0,4],
14306  [13,10,4],
14307  [17,13,4,8],
14308  [18,17,8],
14309  [14,18,8,5],
14310  [11,14,5],
14311  [7,11,5,1],
14312  [7,1,3],
14313  [2,3,1,0],
14314  [6,2,0],
14315  [42,54,55,47,35],
14316  [37,30,35,47],
14317  [51,37,47],
14318  [60,51,47,55],
14319  [63,60,55],
14320  [59,63,55,54],
14321  [50,59,54],
14322  [36,50,54,42],
14323  [36,42,29],
14324  [25,29,42,35],
14325  [30,25,35]
14326  ],
14327  [
14328  [0,1],
14329  [0,2],
14330  [0,4],
14331  [0,6],
14332  [1,3],
14333  [1,5],
14334  [1,7],
14335  [2,3],
14336  [2,6],
14337  [2,9],
14338  [3,7],
14339  [3,9],
14340  [4,8],
14341  [4,10],
14342  [4,13],
14343  [5,8],
14344  [5,11],
14345  [5,14],
14346  [6,10],
14347  [6,12],
14348  [7,11],
14349  [7,15],
14350  [8,17],
14351  [8,18],
14352  [9,16],
14353  [10,12],
14354  [10,13],
14355  [11,14],
14356  [11,15],
14357  [12,19],
14358  [13,17],
14359  [13,20],
14360  [14,18],
14361  [14,21],
14362  [15,22],
14363  [16,23],
14364  [16,24],
14365  [17,18],
14366  [17,20],
14367  [18,21],
14368  [19,25],
14369  [19,29],
14370  [20,31],
14371  [21,33],
14372  [22,26],
14373  [22,34],
14374  [23,24],
14375  [23,27],
14376  [24,28],
14377  [25,29],
14378  [25,30],
14379  [25,35],
14380  [26,32],
14381  [26,34],
14382  [27,30],
14383  [27,37],
14384  [28,32],
14385  [28,39],
14386  [29,36],
14387  [29,42],
14388  [30,35],
14389  [30,37],
14390  [31,38],
14391  [31,43],
14392  [32,39],
14393  [33,40],
14394  [33,44],
14395  [34,41],
14396  [35,42],
14397  [35,47],
14398  [36,42],
14399  [36,45],
14400  [36,50],
14401  [37,47],
14402  [37,51],
14403  [38,43],
14404  [38,45],
14405  [39,52],
14406  [40,44],
14407  [40,46],
14408  [41,46],
14409  [41,53],
14410  [42,54],
14411  [43,48],
14412  [44,49],
14413  [45,50],
14414  [46,53],
14415  [47,51],
14416  [47,55],
14417  [48,49],
14418  [48,58],
14419  [49,58],
14420  [50,54],
14421  [50,59],
14422  [51,56],
14423  [51,60],
14424  [52,57],
14425  [52,61],
14426  [53,62],
14427  [54,55],
14428  [54,59],
14429  [55,60],
14430  [55,63],
14431  [56,57],
14432  [56,60],
14433  [57,61],
14434  [58,65],
14435  [59,63],
14436  [59,66],
14437  [60,63],
14438  [61,64],
14439  [62,64],
14440  [62,67],
14441  [63,66],
14442  [64,67],
14443  [65,68],
14444  [65,69],
14445  [66,68],
14446  [67,69],
14447  [68,69]
14448  ]
14449  ],
14450  [
14451  "johnson_metabidiminished_icosahedron",
14452  "Metabidiminished Icosahedron",
14453  "J62",
14454  "johnson",
14455  "Polyhedron Database #106",
14456  [
14457  [ 0.04819488343, 0.35929506613, 0.75360576470],
14458  [ 0.53014371769, -0.46064526478, 0.59701109587],
14459  [ 0.82800447811, 0.35929506613, 0.18704093042],
14460  [-0.43375395084, -0.46064526478, 0.59701109587],
14461  [ 0.04819488343, 0.86604605937, -0.06633456621],
14462  [ 0.82800447811, -0.46064526478, -0.31971006283],
14463  [-0.73161471125, 0.35929506613, 0.18704093042],
14464  [-0.73161471125, -0.46064526478, -0.31971006283],
14465  [-0.43375395084, 0.35929506613, -0.72968022828],
14466  [ 0.04819488343, -0.46064526478, -0.88627489711]
14467  ],
14468  [
14469  [0.83626391762, 82.36010002814, 25.68932334532],
14470  [0.92177473927, -40.98758509987, 49.63341231685],
14471  [0.92177473927, 23.45741502350, 78.29259060583],
14472  [0.86991884588, -133.27784422807, 46.66335588017],
14473  [0.86991884588, 86.81481352879, 94.37326267714],
14474  [1.00000000000, -29.08858119332, 108.64539162511],
14475  [0.83626391762, 153.84440324035, 77.07575553197],
14476  [0.92177473927, -147.80432410417, 110.29427021590],
14477  [0.92177473927, 140.36374154976, 142.33562661115],
14478  [1.00000000000, -84.02717517055, 152.40882117487]
14479  ],
14480  [
14481  [5,9,7,3,1],
14482  [4,8,9,5,2],
14483  [0,3,6],
14484  [1,3,0],
14485  [2,5,1],
14486  [0,2,1],
14487  [0,4,2],
14488  [6,8,4],
14489  [0,6,4],
14490  [8,7,9],
14491  [8,6,7],
14492  [6,3,7]
14493  ],
14494  [
14495  [0,1],
14496  [0,2],
14497  [0,3],
14498  [0,4],
14499  [0,6],
14500  [1,2],
14501  [1,3],
14502  [1,5],
14503  [2,4],
14504  [2,5],
14505  [3,6],
14506  [3,7],
14507  [4,6],
14508  [4,8],
14509  [5,9],
14510  [6,7],
14511  [6,8],
14512  [7,8],
14513  [7,9],
14514  [8,9]
14515  ]
14516  ],
14517  [
14518  "johnson_metabidiminished_rhombicosidodecahedron",
14519  "Metabidiminished Rhombicosidodecahedron",
14520  "J81",
14521  "johnson",
14522  "Polyhedron Database #125",
14523  [
14524  [-0.79612575929, -0.32884175635, -0.08997483629],
14525  [-0.79612575929, 0.01981001981, -0.30545348419],
14526  [-0.79612575929, -0.11336310845, 0.25867693987],
14527  [-0.79612575929, 0.23528866771, 0.04319829197],
14528  [-0.66947058787, -0.32884175635, -0.47977937227],
14529  [-0.59119338708, -0.67749353251, -0.02338827216],
14530  [-0.66947058787, 0.23528866771, 0.43300282795],
14531  [-0.59119338708, -0.32884175635, 0.54074215190],
14532  [-0.59119338708, 0.23528866771, -0.58751869622],
14533  [-0.46453821566, -0.67749353251, -0.41319280814],
14534  [-0.46453821566, -0.67749353251, 0.36641626382],
14535  [-0.59119338708, 0.58394044387, -0.02338827216],
14536  [-0.46453821566, -0.11336310844, -0.76184458430],
14537  [-0.46453821566, 0.01981001981, 0.71506803998],
14538  [-0.46453821566, 0.58394044387, -0.41319280814],
14539  [-0.46453821566, 0.58394044387, 0.36641626382],
14540  [-0.25960584345, -0.32884175635, 0.78165460411],
14541  [-0.25960584345, 0.23528866771, -0.82843114843],
14542  [-0.13295067202, -0.67749353251, -0.65410526035],
14543  [-0.13295067202, -0.32884175635, -0.86958390825],
14544  [-0.13295067202, -0.67749353251, 0.60732871603],
14545  [-0.25960584345, 0.79941909177, 0.08435105179],
14546  [-0.13295067202, 0.58394044387, -0.65410526035],
14547  [-0.13295067202, 0.23528866771, 0.82280736393],
14548  [-0.13295067202, 0.79941909177, -0.30545348419],
14549  [-0.13295067202, 0.58394044387, 0.60732871603],
14550  [ 0.07198170019, 0.01981001981, -0.93617047238],
14551  [ 0.07198170019, -0.11336310845, 0.88939392806],
14552  [ 0.27691407240, -0.67749353251, -0.65410526035],
14553  [ 0.07198170019, 0.79941909177, 0.32526350400],
14554  [ 0.27691407240, -0.32884175635, -0.86958390825],
14555  [ 0.27691407240, -0.67749353251, 0.60732871603],
14556  [ 0.27691407240, 0.58394044387, -0.65410526035],
14557  [ 0.27691407240, 0.23528866771, 0.82280736393],
14558  [ 0.27691407240, 0.79941909177, -0.30545348419],
14559  [ 0.27691407240, 0.58394044387, 0.60732871603],
14560  [ 0.40356924382, -0.32884175635, 0.78165460411],
14561  [ 0.40356924382, 0.23528866771, -0.82843114843],
14562  [ 0.60850161603, -0.67749353251, -0.41319280814],
14563  [ 0.40356924382, 0.79941909177, 0.08435105179],
14564  [ 0.60850161603, -0.67749353251, 0.36641626382],
14565  [ 0.60850161603, -0.11336310844, -0.76184458430],
14566  [ 0.60850161603, 0.01981001981, 0.71506803998],
14567  [ 0.73515678745, -0.67749353251, -0.02338827216],
14568  [ 0.60850161603, 0.58394044387, 0.36641626382],
14569  [ 0.73515678745, -0.32884175635, 0.54074215190],
14570  [ 0.81343398824, -0.32884175635, -0.47977937227],
14571  [ 0.81343398824, 0.23528866771, 0.43300282795],
14572  [ 0.94008915966, -0.32884175635, -0.08997483629],
14573  [ 0.94008915966, -0.11336310845, 0.25867693987]
14574  ],
14575  [
14576  [0.86605346053, -157.55680376220, 95.96325455844],
14577  [0.85294225625, 178.57460163322, 110.98462555635],
14578  [0.84473734272, -171.89593457093, 72.16831812031],
14579  [0.83129000607, 163.53537227364, 87.02126201391],
14580  [0.88685738132, -153.83988066564, 122.75093479886],
14581  [0.89947435694, -131.10855239305, 91.48998170361],
14582  [0.83129000607, 160.63572888912, 58.60866178301],
14583  [0.86605346053, -150.91570823296, 51.36366929030],
14584  [0.86605346053, 158.29797152461, 132.71766157967],
14585  [0.91952245057, -124.43733388196, 116.70236456370],
14586  [0.89947435694, -124.43733388196, 65.96045265335],
14587  [0.83129000607, 135.35362589967, 91.61222452964],
14588  [0.89947435694, -166.28592578121, 147.88563501278],
14589  [0.85294225625, 177.55812719076, 33.03322781967],
14590  [0.85294225625, 128.50306555185, 118.97528718576],
14591  [0.83129000607, 128.50306555186, 63.84632162630],
14592  [0.88685738132, -128.28951171499, 28.19123079338],
14593  [0.89947435694, 137.81302751519, 157.07521199725],
14594  [0.95106627497, -101.10258355924, 133.45304725994],
14595  [0.93914267042, -112.01347609134, 157.80958253687],
14596  [0.91952245057, -101.10258355926, 48.66329961921],
14597  [0.84473734272, 107.99084811858, 84.26919253436],
14598  [0.88685738132, 102.82637014164, 137.52347354158],
14599  [0.86605346053, 119.46876936925, 18.18288150233],
14600  [0.86605346053, 99.44238786020, 110.65229588036],
14601  [0.85294225625, 102.82637014166, 44.59888890327],
14602  [0.93914267042, 15.38738952742, 175.44041496423],
14603  [0.89947435694, -57.58584792519, 8.58596617928],
14604  [0.98159695481, -67.76853747707, 131.78739646548],
14605  [0.86605346053, 84.85481947591, 67.94046716717],
14606  [0.97004869862, -49.89963289595, 153.69312390162],
14607  [0.95106627497, -67.76853747709, 50.31423441000],
14608  [0.91952245057, 64.62892993779, 135.34512433192],
14609  [0.89947435694, 40.35392897538, 23.82767074809],
14610  [0.89947435694, 70.89421531420, 109.85196349557],
14611  [0.88685738132, 64.62892993779, 46.77934117876],
14612  [0.93914267042, -39.17430281626, 33.66358843716],
14613  [0.95106627497, 30.24301168599, 150.58148371073],
14614  [1.00000000000, -48.07089785432, 114.40556045556],
14615  [0.89947435694, 63.21407138988, 84.61900031571],
14616  [0.98159695481, -48.07089785433, 68.08159189904],
14617  [0.98159695481, -10.55315342487, 140.90738566729],
14618  [0.93914267042, 1.86462905420, 40.41177254626],
14619  [1.00000000000, -42.66252981733, 91.34017148523],
14620  [0.91952245057, 43.82002439112, 66.51647291459],
14621  [0.97004869862, -24.09936572676, 56.12118676304],
14622  [1.00000000000, -22.01169124502, 118.67099346240],
14623  [0.95106627497, 16.13270043692, 62.91695564466],
14624  [1.00000000000, -19.27975923521, 95.16215944298],
14625  [0.98159695481, -6.87596095407, 74.72057657713]
14626  ],
14627  [
14628  [35,29,39,44],
14629  [25,29,35],
14630  [25,15,21,29],
14631  [29,21,24,34,39],
14632  [15,11,21],
14633  [6,3,11,15],
14634  [21,11,14,24],
14635  [14,22,24],
14636  [14,8,17,22],
14637  [11,3,1,8,14],
14638  [8,12,17],
14639  [1,4,12,8],
14640  [33,23,25,35],
14641  [27,23,33],
14642  [27,16,13,23],
14643  [23,13,6,15,25],
14644  [16,7,13],
14645  [20,10,7,16],
14646  [13,7,2,6],
14647  [2,3,6],
14648  [2,0,1,3],
14649  [7,10,5,0,2],
14650  [0,4,1],
14651  [5,9,4,0],
14652  [42,36,27,33],
14653  [45,36,42],
14654  [45,40,31,36],
14655  [36,31,20,16,27],
14656  [28,18,9,5,10,20,31,40,43,38],
14657  [47,49,45,42],
14658  [44,39,34,32,37,41,46,48,49,47],
14659  [49,48,43,40,45],
14660  [48,46,38,43],
14661  [46,41,30,28,38],
14662  [30,19,18,28],
14663  [24,22,32,34],
14664  [37,26,30,41],
14665  [32,22,17,26,37],
14666  [26,19,30],
14667  [17,12,19,26],
14668  [47,42,33,35,44],
14669  [12,4,9,18,19]
14670  ],
14671  [
14672  [0,1],
14673  [0,2],
14674  [0,4],
14675  [0,5],
14676  [1,3],
14677  [1,4],
14678  [1,8],
14679  [2,3],
14680  [2,6],
14681  [2,7],
14682  [3,6],
14683  [3,11],
14684  [4,9],
14685  [4,12],
14686  [5,9],
14687  [5,10],
14688  [6,13],
14689  [6,15],
14690  [7,10],
14691  [7,13],
14692  [7,16],
14693  [8,12],
14694  [8,14],
14695  [8,17],
14696  [9,18],
14697  [10,20],
14698  [11,14],
14699  [11,15],
14700  [11,21],
14701  [12,17],
14702  [12,19],
14703  [13,16],
14704  [13,23],
14705  [14,22],
14706  [14,24],
14707  [15,21],
14708  [15,25],
14709  [16,20],
14710  [16,27],
14711  [17,22],
14712  [17,26],
14713  [18,19],
14714  [18,28],
14715  [19,26],
14716  [19,30],
14717  [20,31],
14718  [21,24],
14719  [21,29],
14720  [22,24],
14721  [22,32],
14722  [23,25],
14723  [23,27],
14724  [23,33],
14725  [24,34],
14726  [25,29],
14727  [25,35],
14728  [26,30],
14729  [26,37],
14730  [27,33],
14731  [27,36],
14732  [28,30],
14733  [28,38],
14734  [29,35],
14735  [29,39],
14736  [30,41],
14737  [31,36],
14738  [31,40],
14739  [32,34],
14740  [32,37],
14741  [33,35],
14742  [33,42],
14743  [34,39],
14744  [35,44],
14745  [36,42],
14746  [36,45],
14747  [37,41],
14748  [38,43],
14749  [38,46],
14750  [39,44],
14751  [40,43],
14752  [40,45],
14753  [41,46],
14754  [42,45],
14755  [42,47],
14756  [43,48],
14757  [44,47],
14758  [45,49],
14759  [46,48],
14760  [47,49],
14761  [48,49]
14762  ]
14763  ],
14764  [
14765  "johnson_metabigyrate_rhombicosidodecahedron",
14766  "Metabigyrate Rhombicosidodecahedron",
14767  "J74",
14768  "johnson",
14769  "Polyhedron Database #118",
14770  [
14771  [-0.58622753083, -0.68915166553, 0.42591916311],
14772  [-0.72461706486, -0.68915163540, -0.00000001599],
14773  [-0.22391906247, -0.92459403303, 0.30819798579],
14774  [-0.36230859650, -0.92459400290, -0.11772119331],
14775  [-0.22391903382, -0.68915171427, 0.68915169005],
14776  [-0.58622753760, -0.68915163540, -0.42591919728],
14777  [-0.72461701850, -0.30819796126, 0.61639602565],
14778  [-0.94853598825, -0.30819791252, -0.07275568259],
14779  [ 0.22391886609, -0.92459408177, 0.30819798223],
14780  [-0.00000010366, -0.92459403303, -0.38095372601],
14781  [-0.94853595960, -0.07275559376, 0.30819802167],
14782  [-0.36230852149, -0.30819801001, 0.87962855259],
14783  [ 0.22391889474, -0.68915176302, 0.68915168650],
14784  [-0.81014646098, -0.30819791252, -0.49867486389],
14785  [-0.22391904476, -0.68915166553, -0.68915172998],
14786  [ 0.36230839335, -0.92459408177, -0.11772119906],
14787  [-0.58622744488, 0.07275571287, 0.80687288599],
14788  [-0.98678586534, 0.13783044817, -0.08518382070],
14789  [ 0.58622738757, -0.68915179314, 0.42591915380],
14790  [ 0.22391888379, -0.68915171427, -0.68915173354],
14791  [-0.81014638597, 0.30819808037, 0.49867488201],
14792  [-0.00000000000, -0.07275572138, 0.99734972415],
14793  [ 0.36230846836, -0.30819808888, 0.87962854684],
14794  [-0.84839633807, 0.13783044817, -0.51110300199],
14795  [-0.58622747353, -0.07275559376, -0.80687287142],
14796  [-0.22391900516, -0.30819796126, -0.92459404874],
14797  [ 0.72461691484, -0.68915179314, -0.00000002750],
14798  [ 0.58622738081, -0.68915176302, -0.42591920659],
14799  [-0.22391892339, 0.30819800150, 0.92459405755],
14800  [-0.84839629171, 0.51878412230, 0.10529303964],
14801  [ 0.72461696120, -0.30819811901, 0.61639601414],
14802  [ 0.22391892339, -0.30819801001, -0.92459405229],
14803  [-0.58622738081, 0.68915175451, 0.42591921185],
14804  [ 0.22391900516, 0.30819795276, 0.92459405400],
14805  [ 0.58622747353, 0.07275558526, 0.80687287668],
14806  [-0.62447733291, 0.51878412230, -0.58385867215],
14807  [-0.36230846836, 0.30819811564, -0.87962861212],
14808  [ 0.00000000000, 0.07275573467, -0.99734976249],
14809  [ 0.94853592001, -0.30819811901, -0.07275569766],
14810  [ 0.81014638597, -0.30819808888, -0.49867487675],
14811  [-0.22391888379, 0.68915170576, 0.68915173880],
14812  [-0.62447730425, 0.75422644106, -0.20290496789],
14813  [ 0.94853594866, -0.07275580025, 0.30819800661],
14814  [ 0.58622744488, -0.07275572138, -0.80687288073],
14815  [-0.36230839335, 0.92459407326, 0.11772120432],
14816  [ 0.22391904476, 0.68915165702, 0.68915173524],
14817  [ 0.81014646098, 0.30819790401, 0.49867486915],
14818  [-0.22391889474, 0.68915177631, -0.68915172484],
14819  [ 0.36230852149, 0.30819800150, -0.87962854733],
14820  [ 0.98678589399, 0.13783023336, -0.08518383637],
14821  [ 0.84839635996, 0.13783026348, -0.51110301547],
14822  [ 0.00000010366, 0.92459407326, 0.38095373126],
14823  [-0.22391886609, 0.92459407326, -0.30819797698],
14824  [ 0.58622753760, 0.68915162689, 0.42591920254],
14825  [ 0.22391903382, 0.68915170576, -0.68915168479],
14826  [ 0.84839640632, 0.51878393762, 0.10529302617],
14827  [ 0.62447743657, 0.51878398636, -0.58385868207],
14828  [ 0.36230859650, 0.92459407326, 0.11772119857],
14829  [ 0.22391906247, 0.92459407326, -0.30819798053],
14830  [ 0.62447746522, 0.75422630512, -0.20290497781]
14831  ],
14832  [
14833  [0.99999993475, -130.38618283979, 64.79114092254],
14834  [0.99999993363, -136.43700546014, 90.00000091615],
14835  [0.99999993544, -103.61382831907, 72.04933254486],
14836  [0.99999993432, -111.39807518933, 96.76060479242],
14837  [0.99999993544, -108.00000512538, 46.43700123757],
14838  [0.99999993251, -130.38618440217, 115.20886130219],
14839  [0.99999993363, -156.95872231601, 51.94656884902],
14840  [0.99999993182, -162.00000615475, 94.17228028590],
14841  [0.99999993544, -76.38618386711, 72.04933275902],
14842  [0.99999993363, -90.00000642377, 112.39277272314],
14843  [0.99999993182, -175.61382775587, 72.04933031666],
14844  [0.99999993432, -139.61382488750, 28.40240467772],
14845  [0.99999993544, -72.00000652430, 46.43700151874],
14846  [0.99999993070, -159.17206080316, 119.91237064150],
14847  [0.99999993182, -108.00000713941, 133.56300211723],
14848  [0.99999993432, -68.60193738376, 96.76060512438],
14849  [0.99999993251, 172.92529174846, 36.20847523865],
14850  [0.99999992989, 172.04858909635, 94.88659570141],
14851  [0.99999993475, -49.61382930662, 64.79114151209],
14852  [0.99999993182, -72.00000615624, 133.56300239840],
14853  [0.99999993070, 159.17204866998, 60.08762816051],
14854  [0.99999993363, -89.99999999999, 4.17228250656],
14855  [0.99999993432, -40.38618649494, 28.40240537076],
14856  [0.99999992877, 170.77234801598, 120.73733054171],
14857  [0.99999992889, -172.92530355529, 143.79152363199],
14858  [0.99999992958, -126.00000964425, 157.60723020326],
14859  [0.99999993363, -43.56300701251, 90.00000157545],
14860  [0.99999993251, -49.61382839675, 115.20886189174],
14861  [0.99999993182, 125.99999613716, 22.39276878253],
14862  [0.99999992877, 148.55471598604, 83.95594948326],
14863  [0.99999993363, -23.04128987788, 51.94656968630],
14864  [0.99999992958, -54.00000461496, 157.60723073807],
14865  [0.99999992889, 130.38617195233, 64.79113767754],
14866  [0.99999993182, 53.99998960361, 22.39276931734],
14867  [0.99999993251, 7.07469562579, 36.20847614159],
14868  [0.99999992696, 140.28191545237, 125.72240430111],
14869  [1.00000000000, 139.61381104942, 151.59759553449],
14870  [0.99999997284, 89.99999999999, 175.82771689372],
14871  [0.99999993182, -18.00000633842, 94.17228115124],
14872  [0.99999993070, -20.82795185563, 119.91237149191],
14873  [0.99999992958, 107.99999405161, 46.43699706381],
14874  [0.99999992696, 129.62375657846, 101.70688614750],
14875  [0.99999993182, -4.38618469425, 72.04933122387],
14876  [0.99999992889, -7.07470907043, 143.79152453494],
14877  [0.99999992708, 111.39806279532, 83.23939452301],
14878  [0.99999992958, 71.99999265270, 46.43699734497],
14879  [0.99999993070, 20.82793867121, 60.08762901093],
14880  [0.99999997103, 107.99999315092, 133.56299957391],
14881  [0.99999992708, 40.38617433191, 151.59759545680],
14882  [0.99999992989, 7.95139844173, 94.88659660254],
14883  [0.99999992877, 9.22763959809, 120.73733143981],
14884  [0.99999997284, 89.99999357622, 67.60722787656],
14885  [0.99999992596, 103.61381625349, 107.95066710038],
14886  [0.99999992889, 49.61381524873, 64.79113826708],
14887  [0.99999992596, 71.99999466673, 133.56299886360],
14888  [0.99999992877, 31.44527149101, 83.95595025951],
14889  [0.99999992696, 39.71807249309, 125.72240500098],
14890  [1.00000000000, 68.60192629184, 83.23939535028],
14891  [0.99999997103, 76.38617225133, 107.95066647798],
14892  [0.99999992696, 50.37623109408, 101.70688672776]
14893  ],
14894  [
14895  [31,25,14,19],
14896  [37,25,31],
14897  [37,36,24,25],
14898  [25,24,13,5,14],
14899  [24,23,13],
14900  [36,35,23,24],
14901  [13,23,17,7],
14902  [17,10,7],
14903  [17,29,20,10],
14904  [23,35,41,29,17],
14905  [29,32,20],
14906  [41,44,32,29],
14907  [43,48,37,31],
14908  [56,54,48],
14909  [56,59,58,54],
14910  [48,54,47,36,37],
14911  [59,57,58],
14912  [55,53,57,59],
14913  [54,58,52,47],
14914  [47,35,36],
14915  [47,52,41,35],
14916  [58,57,51,44,52],
14917  [52,44,41],
14918  [51,40,32,44],
14919  [43,50,56,48],
14920  [39,50,43],
14921  [39,38,49,50],
14922  [50,49,55,59,56],
14923  [38,42,49],
14924  [30,34,46,42],
14925  [49,42,46,55],
14926  [46,53,55],
14927  [53,45,51,57],
14928  [46,34,33,45,53],
14929  [45,40,51],
14930  [33,28,40,45],
14931  [27,26,38,39],
14932  [15,26,27],
14933  [15,8,18,26],
14934  [26,18,30,42,38],
14935  [8,12,18],
14936  [2,4,12,8],
14937  [18,12,22,30],
14938  [22,34,30],
14939  [22,21,33,34],
14940  [12,4,11,21,22],
14941  [21,28,33],
14942  [11,16,28,21],
14943  [19,9,15,27],
14944  [14,9,19],
14945  [14,5,3,9],
14946  [9,3,2,8,15],
14947  [5,1,3],
14948  [13,7,1,5],
14949  [3,1,0,2],
14950  [0,4,2],
14951  [0,6,11,4],
14952  [1,7,10,6,0],
14953  [6,16,11],
14954  [10,20,16,6],
14955  [27,39,43,31,19],
14956  [20,32,40,28,16]
14957  ],
14958  [
14959  [0,1],
14960  [0,2],
14961  [0,4],
14962  [0,6],
14963  [1,3],
14964  [1,5],
14965  [1,7],
14966  [2,3],
14967  [2,4],
14968  [2,8],
14969  [3,5],
14970  [3,9],
14971  [4,11],
14972  [4,12],
14973  [5,13],
14974  [5,14],
14975  [6,10],
14976  [6,11],
14977  [6,16],
14978  [7,10],
14979  [7,13],
14980  [7,17],
14981  [8,12],
14982  [8,15],
14983  [8,18],
14984  [9,14],
14985  [9,15],
14986  [9,19],
14987  [10,17],
14988  [10,20],
14989  [11,16],
14990  [11,21],
14991  [12,18],
14992  [12,22],
14993  [13,23],
14994  [13,24],
14995  [14,19],
14996  [14,25],
14997  [15,26],
14998  [15,27],
14999  [16,20],
15000  [16,28],
15001  [17,23],
15002  [17,29],
15003  [18,26],
15004  [18,30],
15005  [19,27],
15006  [19,31],
15007  [20,29],
15008  [20,32],
15009  [21,22],
15010  [21,28],
15011  [21,33],
15012  [22,30],
15013  [22,34],
15014  [23,24],
15015  [23,35],
15016  [24,25],
15017  [24,36],
15018  [25,31],
15019  [25,37],
15020  [26,27],
15021  [26,38],
15022  [27,39],
15023  [28,33],
15024  [28,40],
15025  [29,32],
15026  [29,41],
15027  [30,34],
15028  [30,42],
15029  [31,37],
15030  [31,43],
15031  [32,40],
15032  [32,44],
15033  [33,34],
15034  [33,45],
15035  [34,46],
15036  [35,36],
15037  [35,41],
15038  [35,47],
15039  [36,37],
15040  [36,47],
15041  [37,48],
15042  [38,39],
15043  [38,42],
15044  [38,49],
15045  [39,43],
15046  [39,50],
15047  [40,45],
15048  [40,51],
15049  [41,44],
15050  [41,52],
15051  [42,46],
15052  [42,49],
15053  [43,48],
15054  [43,50],
15055  [44,51],
15056  [44,52],
15057  [45,51],
15058  [45,53],
15059  [46,53],
15060  [46,55],
15061  [47,52],
15062  [47,54],
15063  [48,54],
15064  [48,56],
15065  [49,50],
15066  [49,55],
15067  [50,56],
15068  [51,57],
15069  [52,58],
15070  [53,55],
15071  [53,57],
15072  [54,56],
15073  [54,58],
15074  [55,59],
15075  [56,59],
15076  [57,58],
15077  [57,59],
15078  [58,59]
15079  ]
15080  ],
15081  [
15082  "johnson_metagyrate_diminished_rhombicosidodecahedron",
15083  "Metagyrate Diminished Rhombicosidodecahedron",
15084  "J78",
15085  "johnson",
15086  "Polyhedron Database #122",
15087  [
15088  [-0.55321297349, -0.01066203605, 0.76143233488],
15089  [-0.34190442063, -0.37016161865, 0.83009064569],
15090  [-0.21130855286, 0.21152092494, 0.87252381538],
15091  [ 0.00000000000, -0.14797865766, 0.94118212618],
15092  [-0.68380884127, -0.37016161865, 0.58168254359],
15093  [ 0.21130855286, 0.21152092494, 0.87252381538],
15094  [-0.76452152635, 0.21152092494, 0.47059106309],
15095  [-0.21130855286, 0.57102050754, 0.65034085439],
15096  [-0.21130855286, -0.72966120124, 0.65034085439],
15097  [ 0.34190442064, -0.37016161865, 0.83009064569],
15098  [-0.89511739413, -0.14797865766, 0.29084127179],
15099  [-0.55321297349, 0.57102050754, 0.40193275229],
15100  [-0.55321297349, -0.72966120124, 0.40193275229],
15101  [ 0.21130855286, 0.57102050754, 0.65034085439],
15102  [ 0.21130855286, -0.72966120124, 0.65034085439],
15103  [ 0.55321297349, -0.01066203605, 0.76143233488],
15104  [-0.89511739413, 0.21152092494, 0.06865831081],
15105  [-0.00000000000, 0.79320346853, 0.35949958260],
15106  [ 0.68380884127, -0.37016161864, 0.58168254359],
15107  [-0.89511739413, -0.37016161865, -0.06865831081],
15108  [-0.68380884127, 0.57102050754, 0.00000000000],
15109  [-0.68380884127, -0.72966120124, 0.00000000000],
15110  [-0.34190442064, 0.79320346853, 0.11109148049],
15111  [ 0.55321297349, 0.57102050754, 0.40193275229],
15112  [ 0.55321297349, -0.72966120124, 0.40193275229],
15113  [ 0.76452152635, 0.21152092494, 0.47059106309],
15114  [-0.89511739413, -0.01066203605, -0.29084127179],
15115  [ 0.34190442063, 0.79320346853, 0.11109148049],
15116  [ 0.89511739413, -0.14797865766, 0.29084127179],
15117  [-0.76452152635, -0.37016161865, -0.47059106309],
15118  [-0.55321297349, 0.57102050754, -0.40193275229],
15119  [-0.55321297349, -0.72966120124, -0.40193275229],
15120  [-0.21130855286, 0.79320346853, -0.29084127179],
15121  [ 0.80061733644, 0.41024740662, 0.09936324084],
15122  [ 0.68380884127, -0.72966120124, -0.00000000000],
15123  [-0.68380884127, 0.21152092494, -0.58168254359],
15124  [ 0.21130855286, 0.79320346853, -0.29084127179],
15125  [ 0.58930878359, 0.63243036761, -0.19147803095],
15126  [ 0.89511739413, -0.37016161864, -0.06865831081],
15127  [ 0.93121320422, 0.05074782403, -0.08038655046],
15128  [-0.55321297349, -0.14797865766, -0.76143233488],
15129  [-0.21130855286, 0.57102050754, -0.65034085439],
15130  [-0.21130855286, -0.72966120124, -0.65034085439],
15131  [ 0.55321297349, -0.72966120124, -0.40193275229],
15132  [-0.34190442064, 0.21152092494, -0.83009064569],
15133  [ 0.21130855286, 0.57102050754, -0.65034085439],
15134  [ 0.21130855286, -0.72966120124, -0.65034085439],
15135  [ 0.76452152635, -0.37016161864, -0.47059106309],
15136  [ 0.58930878359, 0.41024740662, -0.55097761355],
15137  [-0.21130855286, -0.37016161865, -0.87252381538],
15138  [ 0.80061733644, 0.05074782403, -0.48231930274],
15139  [-0.00000000000, -0.01066203605, -0.94118212618],
15140  [ 0.21130855286, -0.37016161865, -0.87252381538],
15141  [ 0.34190442064, 0.21152092494, -0.83009064569],
15142  [ 0.55321297349, -0.14797865766, -0.76143233488]
15143  ],
15144  [
15145  [0.94124251586, -178.89587902821, 36.00505936902],
15146  [0.97106577369, -132.72750132952, 31.25966748279],
15147  [0.92232869119, 134.97122238703, 18.91492540415],
15148  [0.95274418275, -89.99999999984, 8.93526016571],
15149  [0.97106577369, -151.57228676917, 53.20064626834],
15150  [0.92232869119, 45.02877761293, 18.91492540418],
15151  [0.92232869119, 164.53477767263, 59.32147762344],
15152  [0.89087538490, 110.30720654253, 43.11343435831],
15153  [1.00000000000, -106.15091992084, 49.43269423512],
15154  [0.97106577369, -47.27249867034, 31.25966748282],
15155  [0.95274418275, -170.61290105826, 72.22577748954],
15156  [0.89087538490, 134.09252726873, 63.18147713219],
15157  [1.00000000000, -127.16859907789, 66.30094011689],
15158  [0.89087538490, 69.69279345748, 43.11343435833],
15159  [1.00000000000, -73.84908007906, 49.43269423513],
15160  [0.94124251586, -1.10412097171, 36.00505936905],
15161  [0.92232869119, 166.70459888667, 85.73094312146],
15162  [0.87086835536, 90.00000000002, 65.61878155780],
15163  [0.97106577369, -28.42771323074, 53.20064626837],
15164  [0.97106577369, -157.53323421364, 94.05442815562],
15165  [0.89087538490, 140.13613772631, 89.99999999998],
15166  [1.00000000000, -133.14200112373, 89.99999999998],
15167  [0.87086835536, 113.31809665427, 82.67115026512],
15168  [0.89087538490, 45.90747273131, 63.18147713221],
15169  [1.00000000000, -52.83140092202, 66.30094011691],
15170  [0.92232869119, 15.46522232741, 59.32147762347],
15171  [0.94124251586, -179.31756350389, 107.99880557642],
15172  [0.87086835536, 66.68190334577, 82.67115026514],
15173  [0.95274418275, -9.38709894166, 72.22577748957],
15174  [0.97106577369, -154.16493060773, 118.98711799515],
15175  [0.89087538490, 134.09252726874, 116.81852286778],
15176  [1.00000000000, -127.16859907790, 113.69905988308],
15177  [0.87086835536, 104.91709431404, 109.50973258053],
15178  [0.90507685181, 27.13122995115, 83.69711765841],
15179  [1.00000000000, -46.85799887620, 90.00000000001],
15180  [0.92232869119, 162.81172019543, 129.09937175184],
15181  [0.87086835536, 75.08290568603, 109.50973258055],
15182  [0.88539078865, 47.02142951607, 102.48968584521],
15183  [0.97106577369, -22.46676578629, 94.05442815566],
15184  [0.93605308122, 3.11933165579, 94.92652648966],
15185  [0.95274418275, -165.02457730646, 143.05369410522],
15186  [0.89087538490, 110.30720654257, 136.88656564166],
15187  [1.00000000000, -106.15091992088, 130.56730576487],
15188  [1.00000000000, -52.83140092204, 113.69905988310],
15189  [0.92232869119, 148.25678032576, 154.15732953495],
15190  [0.89087538490, 69.69279345752, 136.88656564167],
15191  [1.00000000000, -73.84908007908, 130.56730576487],
15192  [0.97106577369, -25.83506939220, 118.98711799519],
15193  [0.90507685181, 34.84371247594, 127.50013851276],
15194  [0.97106577369, -119.72009459652, 153.96444613297],
15195  [0.93605308122, 3.62689051952, 121.01544898760],
15196  [0.94124251586, -90.00000000107, 179.35096139267],
15197  [0.97106577369, -60.27990540346, 153.96444613298],
15198  [0.92232869119, 31.74321967433, 154.15732953498],
15199  [0.95274418275, -14.97542269348, 143.05369410525]
15200  ],
15201  [
15202  [29,19,21,31],
15203  [26,19,29],
15204  [26,16,10,19],
15205  [19,10,4,12,21],
15206  [16,6,10],
15207  [20,11,6,16],
15208  [10,6,0,4],
15209  [0,1,4],
15210  [0,2,3,1],
15211  [6,11,7,2,0],
15212  [2,5,3],
15213  [7,13,5,2],
15214  [40,35,26,29],
15215  [44,35,40],
15216  [44,41,30,35],
15217  [35,30,20,16,26],
15218  [41,32,30],
15219  [45,36,32,41],
15220  [30,32,22,20],
15221  [22,11,20],
15222  [22,17,7,11],
15223  [32,36,27,17,22],
15224  [17,13,7],
15225  [27,23,13,17],
15226  [49,51,44,40],
15227  [52,51,49],
15228  [52,54,53,51],
15229  [51,53,45,41,44],
15230  [53,48,45],
15231  [54,50,48,53],
15232  [45,48,37,36],
15233  [37,27,36],
15234  [37,33,23,27],
15235  [48,50,39,33,37],
15236  [33,25,23],
15237  [39,28,25,33],
15238  [42,46,52,49],
15239  [31,21,12,8,14,24,34,43,46,42],
15240  [46,43,47,54,52],
15241  [43,34,38,47],
15242  [47,50,54],
15243  [47,38,39,50],
15244  [34,24,18,28,38],
15245  [38,28,39],
15246  [18,15,25,28],
15247  [4,1,8,12],
15248  [14,9,18,24],
15249  [8,1,3,9,14],
15250  [9,15,18],
15251  [3,5,15,9],
15252  [42,49,40,29,31],
15253  [5,13,23,25,15]
15254  ],
15255  [
15256  [0,1],
15257  [0,2],
15258  [0,4],
15259  [0,6],
15260  [1,3],
15261  [1,4],
15262  [1,8],
15263  [2,3],
15264  [2,5],
15265  [2,7],
15266  [3,5],
15267  [3,9],
15268  [4,10],
15269  [4,12],
15270  [5,13],
15271  [5,15],
15272  [6,10],
15273  [6,11],
15274  [6,16],
15275  [7,11],
15276  [7,13],
15277  [7,17],
15278  [8,12],
15279  [8,14],
15280  [9,14],
15281  [9,15],
15282  [9,18],
15283  [10,16],
15284  [10,19],
15285  [11,20],
15286  [11,22],
15287  [12,21],
15288  [13,17],
15289  [13,23],
15290  [14,24],
15291  [15,18],
15292  [15,25],
15293  [16,20],
15294  [16,26],
15295  [17,22],
15296  [17,27],
15297  [18,24],
15298  [18,28],
15299  [19,21],
15300  [19,26],
15301  [19,29],
15302  [20,22],
15303  [20,30],
15304  [21,31],
15305  [22,32],
15306  [23,25],
15307  [23,27],
15308  [23,33],
15309  [24,34],
15310  [25,28],
15311  [25,33],
15312  [26,29],
15313  [26,35],
15314  [27,36],
15315  [27,37],
15316  [28,38],
15317  [28,39],
15318  [29,31],
15319  [29,40],
15320  [30,32],
15321  [30,35],
15322  [30,41],
15323  [31,42],
15324  [32,36],
15325  [32,41],
15326  [33,37],
15327  [33,39],
15328  [34,38],
15329  [34,43],
15330  [35,40],
15331  [35,44],
15332  [36,37],
15333  [36,45],
15334  [37,48],
15335  [38,39],
15336  [38,47],
15337  [39,50],
15338  [40,44],
15339  [40,49],
15340  [41,44],
15341  [41,45],
15342  [42,46],
15343  [42,49],
15344  [43,46],
15345  [43,47],
15346  [44,51],
15347  [45,48],
15348  [45,53],
15349  [46,52],
15350  [47,50],
15351  [47,54],
15352  [48,50],
15353  [48,53],
15354  [49,51],
15355  [49,52],
15356  [50,54],
15357  [51,52],
15358  [51,53],
15359  [52,54],
15360  [53,54]
15361  ]
15362  ],
15363  [
15364  "johnson_parabiaugmented_dodecahedron",
15365  "Parabiaugmented Dodecahedron",
15366  "J59",
15367  "johnson",
15368  "Polyhedron Database #103",
15369  [
15370  [ 0.85065080835, 0.44721359550, -0.27639320225],
15371  [ 0.79854751227, 0.16035745659, 0.25946381511],
15372  [ 0.79854751227, -0.16035745659, -0.25946381511],
15373  [ 0.49352950421, 0.67928508682, 0.16035745659],
15374  [ 0.49352950421, -0.16035745659, 0.67928508682],
15375  [ 0.49352950421, 0.16035745659, -0.67928508682],
15376  [ 0.49352950421, -0.67928508682, -0.16035745659],
15377  [ 0.30501800805, 0.67928508682, -0.41982127170],
15378  [ 0.30501800805, -0.67928508682, 0.41982127170],
15379  [ 0.00000000000, 0.67928508682, 0.51892763023],
15380  [-0.00000000000, 0.16035745659, 0.83964254341],
15381  [ 0.00000000000, -0.16035745659, -0.83964254341],
15382  [ 0.00000000000, -0.67928508682, -0.51892763023],
15383  [-0.30501800805, 0.67928508682, -0.41982127170],
15384  [-0.30501800805, -0.67928508682, 0.41982127170],
15385  [-0.49352950421, 0.67928508682, 0.16035745659],
15386  [-0.49352950421, -0.16035745659, 0.67928508682],
15387  [-0.49352950421, 0.16035745659, -0.67928508682],
15388  [-0.49352950421, -0.67928508682, -0.16035745659],
15389  [-0.79854751227, 0.16035745659, 0.25946381511],
15390  [-0.79854751227, -0.16035745659, -0.25946381511],
15391  [-0.85065080835, -0.44721359550, 0.27639320225]
15392  ],
15393  [
15394  [1.00000000000, 27.73230144770, 106.04505713532],
15395  [0.85481817633, 11.35462809222, 72.33019289294],
15396  [0.85481817633, -11.35462809223, 107.66980710704],
15397  [0.85481817633, 53.99999999999, 79.18768303642],
15398  [0.85481817633, -18.00000000000, 37.37736814064],
15399  [0.85481817633, 17.99999999999, 142.62263185933],
15400  [0.85481817633, -53.99999999999, 100.81231696356],
15401  [0.85481817633, 65.81858573661, 119.41445098643],
15402  [0.85481817633, -65.81858573663, 60.58554901355],
15403  [0.85481817633, 89.99999999999, 52.62263185935],
15404  [0.85481817633, 90.00000000003, 10.81231696358],
15405  [0.85481817633, -89.99999999996, 169.18768303641],
15406  [0.85481817633, -89.99999999999, 127.37736814064],
15407  [0.85481817633, 114.18141426336, 119.41445098644],
15408  [0.85481817633, -114.18141426338, 60.58554901356],
15409  [0.85481817633, 126.00000000000, 79.18768303643],
15410  [0.85481817633, -162.00000000000, 37.37736814065],
15411  [0.85481817633, 161.99999999999, 142.62263185935],
15412  [0.85481817633, -125.99999999999, 100.81231696357],
15413  [0.85481817633, 168.64537190776, 72.33019289295],
15414  [0.85481817633, -168.64537190776, 107.66980710705],
15415  [1.00000000000, -152.26769855229, 73.95494286467]
15416  ],
15417  [
15418  [12,18,14,8,6],
15419  [20,18,12,11,17],
15420  [11,12,6,2,5],
15421  [2,6,8,4,1],
15422  [4,8,14,16,10],
15423  [10,9,3,1,4],
15424  [5,7,13,17,11],
15425  [17,13,15,19,20],
15426  [19,15,9,10,16],
15427  [13,7,3,9,15],
15428  [3,7,0],
15429  [1,3,0],
15430  [7,5,0],
15431  [5,2,0],
15432  [1,0,2],
15433  [14,18,21],
15434  [16,14,21],
15435  [18,20,21],
15436  [20,19,21],
15437  [16,21,19]
15438  ],
15439  [
15440  [0,1],
15441  [0,2],
15442  [0,3],
15443  [0,5],
15444  [0,7],
15445  [1,2],
15446  [1,3],
15447  [1,4],
15448  [2,5],
15449  [2,6],
15450  [3,7],
15451  [3,9],
15452  [4,8],
15453  [4,10],
15454  [5,7],
15455  [5,11],
15456  [6,8],
15457  [6,12],
15458  [7,13],
15459  [8,14],
15460  [9,10],
15461  [9,15],
15462  [10,16],
15463  [11,12],
15464  [11,17],
15465  [12,18],
15466  [13,15],
15467  [13,17],
15468  [14,16],
15469  [14,18],
15470  [14,21],
15471  [15,19],
15472  [16,19],
15473  [16,21],
15474  [17,20],
15475  [18,20],
15476  [18,21],
15477  [19,20],
15478  [19,21],
15479  [20,21]
15480  ]
15481  ],
15482  [
15483  "johnson_parabiaugmented_hexagonal_prism",
15484  "Parabiaugmented Hexagonal Prism",
15485  "J55",
15486  "johnson",
15487  "Polyhedron Database #99",
15488  [
15489  [-0.86602540378, 0.00000000000, 0.50000000000],
15490  [-0.31783724520, 0.31783724520, 0.55051025722],
15491  [-0.63567449039, 0.31783724520, -0.00000000000],
15492  [-0.31783724520, -0.31783724520, 0.55051025722],
15493  [ 0.31783724520, 0.31783724520, 0.55051025722],
15494  [-0.63567449039, -0.31783724520, -0.00000000000],
15495  [ 0.31783724520, -0.31783724520, 0.55051025722],
15496  [-0.31783724520, 0.31783724520, -0.55051025722],
15497  [ 0.63567449039, 0.31783724520, 0.00000000000],
15498  [-0.31783724520, -0.31783724520, -0.55051025722],
15499  [ 0.31783724520, 0.31783724520, -0.55051025722],
15500  [ 0.63567449039, -0.31783724520, 0.00000000000],
15501  [ 0.31783724520, -0.31783724520, -0.55051025722],
15502  [ 0.86602540378, 0.00000000000, -0.50000000000]
15503  ],
15504  [
15505  [1.00000000000, 179.99999999999, 59.99999999999],
15506  [0.71070568604, 134.99999999999, 39.23152048359],
15507  [0.71070568604, 153.43494882292, 90.00000000000],
15508  [0.71070568604, -135.00000000000, 39.23152048358],
15509  [0.71070568604, 45.00000000000, 39.23152048359],
15510  [0.71070568604, -153.43494882291, 89.99999999999],
15511  [0.71070568604, -44.99999999999, 39.23152048358],
15512  [0.71070568604, 135.00000000000, 140.76847951641],
15513  [0.71070568604, 26.56505117708, 89.99999999999],
15514  [0.71070568604, -134.99999999999, 140.76847951640],
15515  [0.71070568604, 44.99999999999, 140.76847951641],
15516  [0.71070568604, -26.56505117707, 89.99999999999],
15517  [0.71070568604, -45.00000000001, 140.76847951639],
15518  [1.00000000000, 0.00000000000, 119.99999999999]
15519  ],
15520  [
15521  [3,6,11,12,9,5],
15522  [1,2,7,10,8,4],
15523  [7,2,5,9],
15524  [10,7,9,12],
15525  [4,8,11,6],
15526  [1,4,6,3],
15527  [11,13,12],
15528  [13,10,12],
15529  [8,13,11],
15530  [10,13,8],
15531  [5,0,3],
15532  [0,1,3],
15533  [2,0,5],
15534  [1,0,2]
15535  ],
15536  [
15537  [0,1],
15538  [0,2],
15539  [0,3],
15540  [0,5],
15541  [1,2],
15542  [1,3],
15543  [1,4],
15544  [2,5],
15545  [2,7],
15546  [3,5],
15547  [3,6],
15548  [4,6],
15549  [4,8],
15550  [5,9],
15551  [6,11],
15552  [7,9],
15553  [7,10],
15554  [8,10],
15555  [8,11],
15556  [8,13],
15557  [9,12],
15558  [10,12],
15559  [10,13],
15560  [11,12],
15561  [11,13],
15562  [12,13]
15563  ]
15564  ],
15565  [
15566  "johnson_parabiaugmented_truncated_dodecahedron",
15567  "Parabiaugmented Truncated Dodecahedron",
15568  "J69",
15569  "johnson",
15570  "Polyhedron Database #113",
15571  [
15572  [-0.41777457947, -0.08389390482, -0.84650375692],
15573  [-0.51639777949, -0.35538028373, -0.71076056747],
15574  [-0.15957568972, 0.08389390482, -0.93039766175],
15575  [-0.67597346922, -0.08389390482, -0.65891128284],
15576  [-0.41777457947, -0.62686666264, -0.57501737801],
15577  [ 0.15957568972, 0.08389390482, -0.93039766175],
15578  [-0.00000000000, 0.35538028373, -0.87854837712],
15579  [-0.83554915894, 0.08389390482, -0.43927418856],
15580  [-0.15957568972, -0.79465447229, -0.49112347319],
15581  [ 0.41777457947, -0.08389390482, -0.84650375692],
15582  [ 0.43462143328, 0.23396788409, -0.86969146193],
15583  [ 0.27504574356, 0.50545426300, -0.81784217730],
15584  [-0.41777457947, -0.79465447229, -0.30353099910],
15585  [-0.00000000000, 0.62686666264, -0.71076056747],
15586  [-0.83554915894, 0.35538028373, -0.27148637891],
15587  [ 0.15957568972, -0.79465447229, -0.49112347319],
15588  [ 0.51639777949, -0.35538028373, -0.71076056747],
15589  [-0.93417235896, 0.08389390482, -0.13574318945],
15590  [ 0.41777457947, -0.62686666264, -0.57501737801],
15591  [-0.15957568972, 0.79465447229, -0.49112347319],
15592  [-0.67597346922, 0.62686666264, -0.21963709428],
15593  [ 0.67597346922, -0.08389390482, -0.65891128284],
15594  [ 0.69282032303, 0.23396788409, -0.68209898784],
15595  [-0.51639777949, -0.79465447229, 0.00000000000],
15596  [-0.41777457947, 0.79465447229, -0.30353099910],
15597  [ 0.43462143328, 0.67324207265, -0.59820508302],
15598  [ 0.15957568972, 0.79465447229, -0.49112347319],
15599  [-0.93417235896, -0.08389390482, 0.13574318945],
15600  [ 0.41777457947, -0.79465447229, -0.30353099910],
15601  [-0.67597346922, -0.62686666264, 0.21963709428],
15602  [ 0.69282032303, 0.50545426300, -0.51431117819],
15603  [-0.83554915894, -0.35538028373, 0.27148637891],
15604  [-0.51639777949, 0.79465447229, 0.00000000000],
15605  [ 0.83554915894, 0.08389390482, -0.43927418856],
15606  [-0.41777457947, -0.79465447229, 0.30353099910],
15607  [ 0.41777457947, 0.79465447229, -0.30353099910],
15608  [-0.83554915894, -0.08389390482, 0.43927418856],
15609  [ 0.51639777949, -0.79465447229, -0.00000000000],
15610  [ 0.83554915894, 0.35538028373, -0.27148637891],
15611  [-0.69282032303, -0.50545426300, 0.51431117819],
15612  [ 0.67597346922, 0.62686666264, -0.21963709428],
15613  [-0.41777457947, 0.79465447229, 0.30353099910],
15614  [ 0.93417235896, 0.08389390482, -0.13574318945],
15615  [-0.15957568972, -0.79465447229, 0.49112347319],
15616  [-0.43462143328, -0.67324207265, 0.59820508302],
15617  [ 0.41777457947, -0.79465447229, 0.30353099910],
15618  [ 0.51639777949, 0.79465447229, -0.00000000000],
15619  [-0.69282032303, -0.23396788409, 0.68209898784],
15620  [-0.67597346922, 0.08389390482, 0.65891128284],
15621  [ 0.67597346922, -0.62686666264, 0.21963709428],
15622  [ 0.15957568972, -0.79465447229, 0.49112347319],
15623  [-0.41777457947, 0.62686666264, 0.57501737801],
15624  [ 0.93417235896, -0.08389390482, 0.13574318945],
15625  [-0.51639777949, 0.35538028373, 0.71076056747],
15626  [-0.15957568972, 0.79465447229, 0.49112347319],
15627  [ 0.83554915894, -0.35538028373, 0.27148637891],
15628  [ 0.00000000000, -0.62686666264, 0.71076056747],
15629  [ 0.41777457947, 0.79465447229, 0.30353099910],
15630  [-0.27504574356, -0.50545426300, 0.81784217730],
15631  [-0.43462143328, -0.23396788409, 0.86969146193],
15632  [-0.41777457947, 0.08389390482, 0.84650375692],
15633  [ 0.15957568972, 0.79465447229, 0.49112347319],
15634  [ 0.83554915894, -0.08389390482, 0.43927418856],
15635  [ 0.00000000000, -0.35538028373, 0.87854837712],
15636  [-0.15957568972, -0.08389390482, 0.93039766175],
15637  [ 0.41777457947, 0.62686666264, 0.57501737801],
15638  [ 0.67597346922, 0.08389390482, 0.65891128284],
15639  [ 0.15957568972, -0.08389390482, 0.93039766175],
15640  [ 0.51639777949, 0.35538028373, 0.71076056747],
15641  [ 0.41777457947, 0.08389390482, 0.84650375692]
15642  ],
15643  [
15644  [0.94770374960, -168.64537190776, 153.28013898830],
15645  [0.94770374960, -145.46460289539, 138.58880169320],
15646  [0.94770374960, 152.26769855232, 169.03360469452],
15647  [0.94770374960, -172.92529490520, 134.04884571041],
15648  [0.94770374960, -123.68142749990, 127.35473359040],
15649  [0.94770374960, 27.73230144773, 169.03360469455],
15650  [0.94770374960, 90.00000000003, 157.97624948384],
15651  [0.94770374960, 174.26639258734, 117.61410888587],
15652  [0.94770374960, -101.35462809223, 121.21324176779],
15653  [0.94770374960, -11.35462809223, 153.28013898833],
15654  [1.00000000000, 28.29472150821, 150.42280516293],
15655  [1.00000000000, 61.44693246452, 144.86936714484],
15656  [0.94770374960, -117.73230144770, 108.67988715813],
15657  [0.94770374960, 90.00000000001, 138.58880169322],
15658  [0.94770374960, 156.95871796353, 106.64659156938],
15659  [0.94770374960, -78.64537190778, 121.21324176780],
15660  [0.94770374960, -34.53539710460, 138.58880169322],
15661  [0.94770374960, 174.86828470418, 98.23501459354],
15662  [0.94770374960, -56.31857250010, 127.35473359041],
15663  [0.94770374960, 101.35462809223, 121.21324176781],
15664  [0.94770374960, 137.15857755564, 103.40054301124],
15665  [0.94770374960, -7.07470509479, 134.04884571044],
15666  [1.00000000000, 18.66000818099, 133.00788389657],
15667  [0.94770374960, -123.01739809413, 89.99999999999],
15668  [0.94770374960, 117.73230144770, 108.67988715813],
15669  [1.00000000000, 57.15513367416, 126.74145405611],
15670  [0.94770374960, 78.64537190778, 121.21324176780],
15671  [0.94770374960, -174.86828470418, 81.76498540642],
15672  [0.94770374960, -62.26769855230, 108.67988715815],
15673  [0.94770374960, -137.15857755564, 76.59945698873],
15674  [1.00000000000, 36.11300912328, 120.95142428592],
15675  [0.94770374960, -156.95871796352, 73.35340843058],
15676  [0.94770374960, 123.01739809413, 89.99999999999],
15677  [0.94770374960, 5.73360741265, 117.61410888590],
15678  [0.94770374960, -117.73230144769, 71.32011284184],
15679  [0.94770374960, 62.26769855230, 108.67988715815],
15680  [0.94770374960, -174.26639258734, 62.38589111409],
15681  [0.94770374960, -56.98260190585, 90.00000000000],
15682  [0.94770374960, 23.04128203647, 106.64659156940],
15683  [1.00000000000, -143.88699087670, 59.04857571407],
15684  [0.94770374960, 42.84142244435, 103.40054301126],
15685  [0.94770374960, 117.73230144769, 71.32011284184],
15686  [0.94770374960, 5.13171529581, 98.23501459357],
15687  [0.94770374960, -101.35462809221, 58.78675823219],
15688  [1.00000000000, -122.84486632582, 53.25854594388],
15689  [0.94770374960, -62.26769855229, 71.32011284186],
15690  [0.94770374960, 56.98260190586, 90.00000000000],
15691  [1.00000000000, -161.33999181900, 46.99211610342],
15692  [0.94770374960, 172.92529490520, 45.95115428955],
15693  [0.94770374960, -42.84142244435, 76.59945698874],
15694  [0.94770374960, -78.64537190776, 58.78675823218],
15695  [0.94770374960, 123.68142749989, 52.64526640958],
15696  [0.94770374960, -5.13171529581, 81.76498540645],
15697  [0.94770374960, 145.46460289539, 41.41119830677],
15698  [0.94770374960, 101.35462809221, 58.78675823218],
15699  [0.94770374960, -23.04128203647, 73.35340843061],
15700  [0.94770374960, -89.99999999998, 41.41119830677],
15701  [0.94770374960, 62.26769855229, 71.32011284186],
15702  [1.00000000000, -118.55306753547, 35.13063285515],
15703  [1.00000000000, -151.70527849178, 29.57719483705],
15704  [0.94770374960, 168.64537190776, 26.71986101166],
15705  [0.94770374960, 78.64537190776, 58.78675823220],
15706  [0.94770374960, -5.73360741264, 62.38589111412],
15707  [0.94770374960, -89.99999999996, 22.02375051615],
15708  [0.94770374960, -152.26769855226, 10.96639530544],
15709  [0.94770374960, 56.31857250008, 52.64526640959],
15710  [0.94770374960, 7.07470509479, 45.95115428958],
15711  [0.94770374960, -27.73230144767, 10.96639530546],
15712  [0.94770374960, 34.53539710460, 41.41119830678],
15713  [0.94770374960, 11.35462809222, 26.71986101169]
15714  ],
15715  [
15716  [8,12,23,34,43,50,45,37,28,15],
15717  [12,8,4],
15718  [2,0,1,4,8,15,18,16,9,5],
15719  [1,0,3],
15720  [15,28,18],
15721  [33,21,16,18,28,37,49,55,52,42],
15722  [16,21,9],
15723  [37,45,49],
15724  [66,62,55,49,45,50,56,63,67,69],
15725  [55,62,52],
15726  [50,43,56],
15727  [64,60,53,51,54,61,65,68,69,67],
15728  [67,63,64],
15729  [34,23,29],
15730  [17,27,31,29,23,12,4,1,3,7],
15731  [31,27,36],
15732  [19,26,35,46,57,61,54,41,32,24],
15733  [26,19,13],
15734  [0,2,6,13,19,24,20,14,7,3],
15735  [6,2,5],
15736  [24,32,20],
15737  [27,17,14,20,32,41,51,53,48,36],
15738  [14,17,7],
15739  [41,54,51],
15740  [48,53,60],
15741  [61,57,65],
15742  [62,66,68,65,57,46,40,38,42,52],
15743  [68,66,69],
15744  [46,35,40],
15745  [42,38,33],
15746  [11,10,22,30,25],
15747  [40,35,25,30],
15748  [38,40,30],
15749  [33,38,30,22],
15750  [21,33,22],
15751  [9,21,22,10],
15752  [5,9,10],
15753  [6,5,10,11],
15754  [6,11,13],
15755  [26,13,11,25],
15756  [35,26,25],
15757  [39,47,59,58,44],
15758  [56,43,44,58],
15759  [63,56,58],
15760  [64,63,58,59],
15761  [60,64,59],
15762  [48,60,59,47],
15763  [36,48,47],
15764  [31,36,47,39],
15765  [31,39,29],
15766  [34,29,39,44],
15767  [43,34,44]
15768  ],
15769  [
15770  [0,1],
15771  [0,2],
15772  [0,3],
15773  [1,3],
15774  [1,4],
15775  [2,5],
15776  [2,6],
15777  [3,7],
15778  [4,8],
15779  [4,12],
15780  [5,6],
15781  [5,9],
15782  [5,10],
15783  [6,11],
15784  [6,13],
15785  [7,14],
15786  [7,17],
15787  [8,12],
15788  [8,15],
15789  [9,10],
15790  [9,16],
15791  [9,21],
15792  [10,11],
15793  [10,22],
15794  [11,13],
15795  [11,25],
15796  [12,23],
15797  [13,19],
15798  [13,26],
15799  [14,17],
15800  [14,20],
15801  [15,18],
15802  [15,28],
15803  [16,18],
15804  [16,21],
15805  [17,27],
15806  [18,28],
15807  [19,24],
15808  [19,26],
15809  [20,24],
15810  [20,32],
15811  [21,22],
15812  [21,33],
15813  [22,30],
15814  [22,33],
15815  [23,29],
15816  [23,34],
15817  [24,32],
15818  [25,26],
15819  [25,30],
15820  [25,35],
15821  [26,35],
15822  [27,31],
15823  [27,36],
15824  [28,37],
15825  [29,31],
15826  [29,34],
15827  [29,39],
15828  [30,38],
15829  [30,40],
15830  [31,36],
15831  [31,39],
15832  [32,41],
15833  [33,38],
15834  [33,42],
15835  [34,43],
15836  [34,44],
15837  [35,40],
15838  [35,46],
15839  [36,47],
15840  [36,48],
15841  [37,45],
15842  [37,49],
15843  [38,40],
15844  [38,42],
15845  [39,44],
15846  [39,47],
15847  [40,46],
15848  [41,51],
15849  [41,54],
15850  [42,52],
15851  [43,44],
15852  [43,50],
15853  [43,56],
15854  [44,58],
15855  [45,49],
15856  [45,50],
15857  [46,57],
15858  [47,48],
15859  [47,59],
15860  [48,53],
15861  [48,60],
15862  [49,55],
15863  [50,56],
15864  [51,53],
15865  [51,54],
15866  [52,55],
15867  [52,62],
15868  [53,60],
15869  [54,61],
15870  [55,62],
15871  [56,58],
15872  [56,63],
15873  [57,61],
15874  [57,65],
15875  [58,59],
15876  [58,63],
15877  [59,60],
15878  [59,64],
15879  [60,64],
15880  [61,65],
15881  [62,66],
15882  [63,64],
15883  [63,67],
15884  [64,67],
15885  [65,68],
15886  [66,68],
15887  [66,69],
15888  [67,69],
15889  [68,69]
15890  ]
15891  ],
15892  [
15893  "johnson_parabidiminished_rhombicosidodecahedron",
15894  "Parabidiminished Rhombicosidodecahedron",
15895  "J80",
15896  "johnson",
15897  "Polyhedron Database #124",
15898  [
15899  [ 0.58622749983, 0.68915175777, 0.42591920971],
15900  [ 0.22391897979, 0.68915175777, 0.68915175777],
15901  [ 0.81014647962, 0.30819803544, 0.49867489661],
15902  [ 0.22391897979, 0.30819803544, 0.92459410632],
15903  [ 0.58622749983, 0.07275568690, 0.80687293205],
15904  [ 0.72461704007, 0.68915175777, 0.00000000000],
15905  [ 0.94853601986, 0.30819803544, 0.07275568690],
15906  [-0.22391897979, 0.68915175777, 0.68915175777],
15907  [ 0.94853601986, -0.07275568690, 0.30819803544],
15908  [-0.22391897979, 0.30819803544, 0.92459410632],
15909  [ 0.72461704007, -0.30819803544, 0.61639607088],
15910  [-0.00000000000, -0.07275568690, 0.99734979321],
15911  [ 0.36230852003, -0.30819803544, 0.87962861894],
15912  [ 0.58622749983, 0.68915175777, -0.42591920971],
15913  [ 0.94853601986, 0.07275568690, -0.30819803544],
15914  [-0.58622749983, 0.68915175777, 0.42591920971],
15915  [ 0.94853601986, -0.30819803544, -0.07275568690],
15916  [ 0.72461704007, 0.30819803544, -0.61639607088],
15917  [-0.58622749983, 0.07275568690, 0.80687293205],
15918  [ 0.58622749983, -0.68915175777, 0.42591920971],
15919  [-0.36230852003, -0.30819803544, 0.87962861894],
15920  [ 0.22391897979, 0.68915175777, -0.68915175777],
15921  [ 0.22391897979, -0.68915175777, 0.68915175777],
15922  [-0.81014647962, 0.30819803544, 0.49867489661],
15923  [-0.72461704007, 0.68915175777, -0.00000000000],
15924  [ 0.72461704007, -0.68915175777, 0.00000000000],
15925  [ 0.81014647962, -0.30819803544, -0.49867489661],
15926  [-0.22391897979, 0.68915175777, -0.68915175777],
15927  [-0.22391897979, -0.68915175777, 0.68915175777],
15928  [ 0.36230852003, 0.30819803544, -0.87962861894],
15929  [-0.58622749983, 0.68915175777, -0.42591920971],
15930  [ 0.58622749983, -0.07275568690, -0.80687293205],
15931  [-0.72461704007, -0.30819803544, 0.61639607088],
15932  [-0.94853601986, 0.30819803544, 0.07275568690],
15933  [ 0.58622749983, -0.68915175777, -0.42591920971],
15934  [-0.94853601986, -0.07275568690, 0.30819803544],
15935  [-0.58622749983, -0.68915175777, 0.42591920971],
15936  [-0.36230852003, 0.30819803544, -0.87962861894],
15937  [ 0.00000000000, 0.07275568690, -0.99734979321],
15938  [-0.72461704007, 0.30819803544, -0.61639607088],
15939  [ 0.22391897979, -0.30819803544, -0.92459410632],
15940  [-0.94853601986, 0.07275568690, -0.30819803544],
15941  [ 0.22391897979, -0.68915175777, -0.68915175777],
15942  [-0.94853601986, -0.30819803544, -0.07275568690],
15943  [-0.72461704007, -0.68915175777, -0.00000000000],
15944  [-0.58622749983, -0.07275568690, -0.80687293205],
15945  [-0.22391897979, -0.30819803544, -0.92459410632],
15946  [-0.81014647962, -0.30819803544, -0.49867489661],
15947  [-0.22391897979, -0.68915175777, -0.68915175777],
15948  [-0.58622749983, -0.68915175777, -0.42591920971]
15949  ],
15950  [
15951  [1.00000000000, 49.61382244080, 64.79113973109],
15952  [1.00000000000, 71.99999999999, 46.43699940042],
15953  [1.00000000000, 20.82794635300, 60.08762947998],
15954  [1.00000000000, 54.00000000001, 22.39277092895],
15955  [1.00000000000, 7.07470509478, 36.20847605288],
15956  [1.00000000000, 43.56300059957, 89.99999999999],
15957  [1.00000000000, 18.00000000000, 85.82771975187],
15958  [1.00000000000, 108.00000000000, 46.43699940042],
15959  [1.00000000000, -4.38617755920, 72.04933075284],
15960  [1.00000000000, 126.00000000002, 22.39277092895],
15961  [1.00000000000, -23.04128203648, 51.94656853438],
15962  [1.00000000000, -90.00000000007, 4.17228024813],
15963  [1.00000000000, -40.38617755921, 28.40240364405],
15964  [1.00000000000, 49.61382244080, 115.20886026888],
15965  [1.00000000000, 4.38617755920, 107.95066924714],
15966  [1.00000000000, 130.38617755919, 64.79113973110],
15967  [1.00000000000, -18.00000000000, 94.17228024812],
15968  [1.00000000000, 23.04128203647, 128.05343146559],
15969  [1.00000000000, 172.92529490521, 36.20847605289],
15970  [1.00000000000, -49.61382244080, 64.79113973110],
15971  [1.00000000000, -139.61382244078, 28.40240364406],
15972  [1.00000000000, 71.99999999999, 133.56300059956],
15973  [1.00000000000, -72.00000000000, 46.43699940043],
15974  [1.00000000000, 159.17205364699, 60.08762947999],
15975  [1.00000000000, 136.43699940041, 89.99999999999],
15976  [1.00000000000, -43.56300059957, 89.99999999999],
15977  [1.00000000000, -20.82794635300, 119.91237052000],
15978  [1.00000000000, 107.99999999999, 133.56300059956],
15979  [1.00000000000, -108.00000000000, 46.43699940042],
15980  [1.00000000000, 40.38617755920, 151.59759635593],
15981  [1.00000000000, 130.38617755918, 115.20886026889],
15982  [1.00000000000, -7.07470509478, 143.79152394710],
15983  [1.00000000000, -156.95871796352, 51.94656853439],
15984  [1.00000000000, 161.99999999999, 85.82771975187],
15985  [1.00000000000, -49.61382244080, 115.20886026889],
15986  [1.00000000000, -175.61382244079, 72.04933075285],
15987  [1.00000000000, -130.38617755919, 64.79113973111],
15988  [1.00000000000, 139.61382244078, 151.59759635594],
15989  [1.00000000000, 89.99999999992, 175.82771975186],
15990  [1.00000000000, 156.95871796351, 128.05343146560],
15991  [1.00000000000, -53.99999999996, 157.60722907103],
15992  [1.00000000000, 175.61382244079, 107.95066924714],
15993  [1.00000000000, -71.99999999999, 133.56300059957],
15994  [1.00000000000, -161.99999999999, 94.17228024812],
15995  [1.00000000000, -136.43699940042, 90.00000000000],
15996  [1.00000000000, -172.92529490521, 143.79152394711],
15997  [1.00000000000, -125.99999999998, 157.60722907104],
15998  [1.00000000000, -159.17205364699, 119.91237052001],
15999  [1.00000000000, -107.99999999999, 133.56300059957],
16000  [1.00000000000, -130.38617755919, 115.20886026889]
16001  ],
16002  [
16003  [12,10,19,22],
16004  [4,10,12],
16005  [4,2,8,10],
16006  [10,8,16,25,19],
16007  [2,6,8],
16008  [0,5,6,2],
16009  [8,6,14,16],
16010  [14,26,16],
16011  [14,17,31,26],
16012  [6,5,13,17,14],
16013  [17,29,31],
16014  [13,21,29,17],
16015  [11,3,4,12],
16016  [9,3,11],
16017  [9,7,1,3],
16018  [3,1,0,2,4],
16019  [30,27,21,13,5,0,1,7,15,24],
16020  [20,18,9,11],
16021  [32,18,20],
16022  [32,35,23,18],
16023  [18,23,15,7,9],
16024  [35,33,23],
16025  [43,41,33,35],
16026  [23,33,24,15],
16027  [33,41,39,30,24],
16028  [39,37,27,30],
16029  [28,36,32,20],
16030  [22,19,25,34,42,48,49,44,36,28],
16031  [36,44,43,35,32],
16032  [44,49,47,43],
16033  [47,41,43],
16034  [47,45,39,41],
16035  [49,48,46,45,47],
16036  [45,37,39],
16037  [46,38,37,45],
16038  [16,26,34,25],
16039  [42,40,46,48],
16040  [34,26,31,40,42],
16041  [40,38,46],
16042  [31,29,38,40],
16043  [28,20,11,12,22],
16044  [29,21,27,37,38]
16045  ],
16046  [
16047  [0,1],
16048  [0,2],
16049  [0,5],
16050  [1,3],
16051  [1,7],
16052  [2,4],
16053  [2,6],
16054  [2,8],
16055  [3,4],
16056  [3,9],
16057  [3,11],
16058  [4,10],
16059  [4,12],
16060  [5,6],
16061  [5,13],
16062  [6,8],
16063  [6,14],
16064  [7,9],
16065  [7,15],
16066  [8,10],
16067  [8,16],
16068  [9,11],
16069  [9,18],
16070  [10,12],
16071  [10,19],
16072  [11,12],
16073  [11,20],
16074  [12,22],
16075  [13,17],
16076  [13,21],
16077  [14,16],
16078  [14,17],
16079  [14,26],
16080  [15,23],
16081  [15,24],
16082  [16,25],
16083  [16,26],
16084  [17,29],
16085  [17,31],
16086  [18,20],
16087  [18,23],
16088  [18,32],
16089  [19,22],
16090  [19,25],
16091  [20,28],
16092  [20,32],
16093  [21,27],
16094  [21,29],
16095  [22,28],
16096  [23,33],
16097  [23,35],
16098  [24,30],
16099  [24,33],
16100  [25,34],
16101  [26,31],
16102  [26,34],
16103  [27,30],
16104  [27,37],
16105  [28,36],
16106  [29,31],
16107  [29,38],
16108  [30,39],
16109  [31,40],
16110  [32,35],
16111  [32,36],
16112  [33,35],
16113  [33,41],
16114  [34,42],
16115  [35,43],
16116  [36,44],
16117  [37,38],
16118  [37,39],
16119  [37,45],
16120  [38,40],
16121  [38,46],
16122  [39,41],
16123  [39,45],
16124  [40,42],
16125  [40,46],
16126  [41,43],
16127  [41,47],
16128  [42,48],
16129  [43,44],
16130  [43,47],
16131  [44,49],
16132  [45,46],
16133  [45,47],
16134  [46,48],
16135  [47,49],
16136  [48,49]
16137  ]
16138  ],
16139  [
16140  "johnson_parabigyrate_rhombicosidodecahedron",
16141  "Parabigyrate Rhombicosidodecahedron",
16142  "J73",
16143  "johnson",
16144  "Polyhedron Database #117",
16145  [
16146  [ 0.36230850004, -0.30819801706, 0.87962856150],
16147  [ 0.72461699471, -0.30819801706, 0.61639603048],
16148  [ 0.58622746438, 0.07275567931, 0.80687287901],
16149  [ 0.22391896876, -0.68915171342, 0.68915171367],
16150  [ 0.00000000500, -0.07275568456, 0.99734972866],
16151  [ 0.58622746343, -0.68915171342, 0.42591918264],
16152  [ 0.22391896935, 0.30819801180, 0.92459404616],
16153  [ 0.94853595846, -0.07275568456, 0.30819801549],
16154  [ 0.81014642814, 0.30819801180, 0.49867486402],
16155  [-0.22391896030, -0.68915171342, 0.68915171479],
16156  [-0.36230849063, -0.30819801706, 0.87962856332],
16157  [ 0.22391896780, -0.92459404591, 0.30819801731],
16158  [-0.22391895971, 0.30819801180, 0.92459404728],
16159  [ 0.72461699316, -0.68915171342, 0.00000000162],
16160  [ 0.94853595751, -0.30819801706, -0.07275568087],
16161  [ 0.22391896876, 0.68915170816, 0.68915171367],
16162  [ 0.58622746343, 0.68915170816, 0.42591918264],
16163  [ 0.98678588305, 0.13783033953, -0.08518383517],
16164  [ 0.84839635273, 0.51878403589, 0.10529301336],
16165  [-0.22391896125, -0.92459404591, 0.30819801843],
16166  [-0.58622745534, 0.07275567931, 0.80687288195],
16167  [ 0.36230849754, -0.92459404591, -0.11772116371],
16168  [-0.62447738147, -0.51878404115, 0.58385870375],
16169  [-0.22391896030, 0.68915170816, 0.68915171479],
16170  [ 0.58622746129, -0.68915171342, -0.42591917870],
16171  [ 0.81014642564, -0.30819801706, -0.49867486120],
16172  [ 0.00000000346, 0.92459404065, 0.38095369980],
16173  [ 0.36230849813, 0.92459404065, 0.11772116878],
16174  [-0.62447738243, -0.75422637364, 0.20290500739],
16175  [-0.84839634618, -0.13783034479, 0.51110302238],
16176  [ 0.84839635118, 0.13783033953, -0.51110301549],
16177  [ 0.62447738743, 0.75422636838, -0.20290500050],
16178  [-0.36230849313, -0.92459404591, -0.11772116190],
16179  [ 0.00000000155, -0.92459404591, -0.38095369292],
16180  [-0.81014642064, 0.30819801180, 0.49867486808],
16181  [-0.58622745629, 0.68915170816, 0.42591918558],
16182  [ 0.22391896530, -0.68915171342, -0.68915170791],
16183  [ 0.62447738647, 0.51878403589, -0.58385869687],
16184  [-0.36230849254, 0.92459404065, 0.11772117060],
16185  [ 0.58622746034, -0.07275568456, -0.80687287506],
16186  [ 0.22391896626, 0.92459404065, -0.30819801155],
16187  [-0.84839634773, -0.51878404115, -0.10529300648],
16188  [-0.98678587805, -0.13783034479, 0.08518384205],
16189  [-0.58622745843, -0.68915171342, -0.42591917576],
16190  [-0.22391896375, -0.68915171342, -0.68915170679],
16191  [-0.94853595251, 0.30819801180, 0.07275568775],
16192  [-0.72461702963, 0.68915172996, -0.00000000821],
16193  [ 0.22391896471, -0.30819801706, -0.92459404040],
16194  [-0.22391896280, 0.92459404065, -0.30819801042],
16195  [ 0.36230849563, 0.30819801180, -0.87962855644],
16196  [ 0.22391896530, 0.68915170816, -0.68915170791],
16197  [-0.81014642314, -0.30819801706, -0.49867485713],
16198  [-0.94853595346, 0.07275567931, -0.30819800861],
16199  [-0.22391896435, -0.30819801706, -0.92459403928],
16200  [-0.58622752552, 0.68915174343, -0.42591919756],
16201  [ 0.00000000000, 0.07275570111, -0.99734976537],
16202  [-0.22391896376, 0.68915172996, -0.68915175038],
16203  [-0.58622745938, -0.07275568456, -0.80687287212],
16204  [-0.72461703117, 0.30819803360, -0.61639603707],
16205  [-0.36230849504, 0.30819804707, -0.87962862516]
16206  ],
16207  [
16208  [0.99999993656, -40.38617743313, 28.40240384151],
16209  [0.99999993656, -23.04128209727, 51.94656862891],
16210  [0.99999993587, 7.07470478772, 36.20847617870],
16211  [0.99999993656, -71.99999974627, 46.43699943116],
16212  [0.99999993544, -89.99999606190, 4.17228038401],
16213  [0.99999993656, -49.61382237655, 64.79113973417],
16214  [0.99999993475, 53.99999918131, 22.39277090345],
16215  [0.99999993544, -4.38617770198, 72.04933075606],
16216  [0.99999993475, 20.82794610245, 60.08762948339],
16217  [0.99999993544, -107.99999961779, 46.43699928138],
16218  [0.99999993475, -139.61382183230, 28.40240343072],
16219  [0.99999993587, -76.38617740486, 72.04933065459],
16220  [0.99999993363, 125.99999964614, 22.39277057888],
16221  [0.99999993544, -43.56300060998, 89.99999990690],
16222  [0.99999993475, -18.00000010248, 94.17228017477],
16223  [0.99999993294, 71.99999961782, 46.43699923371],
16224  [0.99999993294, 49.61382216083, 64.79113963644],
16225  [0.99999993363, 7.95140457547, 94.88659651498],
16226  [0.99999993294, 31.44527793232, 83.95595102273],
16227  [0.99999993475, -103.61382221193, 72.04933056618],
16228  [0.99999993294, 172.92529510423, 36.20847566418],
16229  [0.99999993475, -68.60193103217, 96.76060308200],
16230  [0.99999993363, -140.28192204812, 54.27759374404],
16231  [0.99999993182, 107.99999974630, 46.43699908393],
16232  [0.99999993363, -49.61382247955, 115.20886009515],
16233  [0.99999993294, -20.82794648604, 119.91237038987],
16234  [0.99999993070, 89.99999978588, 67.60722883136],
16235  [0.99999993070, 68.60193088980, 83.23939659817],
16236  [0.99999993294, -129.62376261749, 78.29311161251],
16237  [0.99999993182, -170.77235490496, 59.26266820361],
16238  [0.99999993182, 9.22764469560, 120.73733133757],
16239  [0.99999993070, 50.37623696091, 101.70688801134],
16240  [0.99999993294, -111.39806873086, 96.76060298949],
16241  [0.99999993294, -89.99999990422, 112.39277068925],
16242  [0.99999993070, 159.17205372127, 60.08762908134],
16243  [0.99999993001, 130.38617749497, 64.79113937122],
16244  [0.99999993182, -72.00000000611, 133.56300037183],
16245  [0.99999993001, 39.71807744091, 125.72240591951],
16246  [0.99999992889, 111.39806880987, 83.23939648105],
16247  [0.99999993070, -7.07470534214, 143.79152384349],
16248  [0.99999992889, 76.38617742080, 107.95066912810],
16249  [0.99999993070, -148.55472165891, 96.04404859429],
16250  [0.99999993001, -172.04859508528, 85.11340307146],
16251  [0.99999993070, -130.38617738221, 115.20885998809],
16252  [0.99999993070, -107.99999987764, 133.56300034407],
16253  [0.99999992889, 162.00000009602, 85.82771940530],
16254  [0.99999997327, 136.43700014306, 90.00000047066],
16255  [0.99999993001, -54.00000021021, 157.60722888982],
16256  [0.99999992777, 103.61382237695, 107.95066908127],
16257  [0.99999992889, 40.38617729497, 151.59759636142],
16258  [0.99999992820, 71.99999987767, 133.56300056930],
16259  [0.99999992889, -159.17205345516, 119.91237025490],
16260  [0.99999992820, 175.61382259072, 107.95066896391],
16261  [0.99999992889, -125.99999974536, 157.60722887667],
16262  [1.00000000000, 130.38617938691, 115.20885949941],
16263  [0.99999997327, 89.99999999999, 175.82771882380],
16264  [0.99999997215, 107.99999947350, 133.56300153301],
16265  [0.99999992777, -172.92529464641, 143.79152378782],
16266  [0.99999997215, 156.95871783361, 128.05343025469],
16267  [1.00000000000, 139.61381942277, 151.59759710532]
16268  ],
16269  [
16270  [36,33,21,24],
16271  [44,33,36],
16272  [44,43,32,33],
16273  [33,32,19,11,21],
16274  [32,28,19],
16275  [43,41,28,32],
16276  [19,28,22,9],
16277  [22,10,9],
16278  [22,29,20,10],
16279  [28,41,42,29,22],
16280  [29,34,20],
16281  [42,45,34,29],
16282  [47,53,44,36],
16283  [55,53,47],
16284  [55,59,57,53],
16285  [53,57,51,43,44],
16286  [59,58,57],
16287  [56,54,58,59],
16288  [57,58,52,51],
16289  [51,41,43],
16290  [51,52,42,41],
16291  [58,54,46,45,52],
16292  [52,45,42],
16293  [46,35,34,45],
16294  [39,49,55,47],
16295  [37,50,49],
16296  [37,31,40,50],
16297  [49,50,56,59,55],
16298  [31,27,40],
16299  [18,16,27,31],
16300  [50,40,48,56],
16301  [48,54,56],
16302  [48,38,46,54],
16303  [40,27,26,38,48],
16304  [38,35,46],
16305  [26,23,35,38],
16306  [39,30,37,49],
16307  [25,30,39],
16308  [25,14,17,30],
16309  [30,17,18,31,37],
16310  [14,7,17],
16311  [1,2,8,7],
16312  [17,7,8,18],
16313  [8,16,18],
16314  [16,15,26,27],
16315  [8,2,6,15,16],
16316  [15,23,26],
16317  [6,12,23,15],
16318  [24,13,14,25],
16319  [21,13,24],
16320  [21,11,5,13],
16321  [13,5,1,7,14],
16322  [11,3,5],
16323  [19,9,3,11],
16324  [5,3,0,1],
16325  [0,2,1],
16326  [0,4,6,2],
16327  [3,9,10,4,0],
16328  [4,12,6],
16329  [10,20,12,4],
16330  [25,39,47,36,24],
16331  [20,34,35,23,12]
16332  ],
16333  [
16334  [0,1],
16335  [0,2],
16336  [0,3],
16337  [0,4],
16338  [1,2],
16339  [1,5],
16340  [1,7],
16341  [2,6],
16342  [2,8],
16343  [3,5],
16344  [3,9],
16345  [3,11],
16346  [4,6],
16347  [4,10],
16348  [4,12],
16349  [5,11],
16350  [5,13],
16351  [6,12],
16352  [6,15],
16353  [7,8],
16354  [7,14],
16355  [7,17],
16356  [8,16],
16357  [8,18],
16358  [9,10],
16359  [9,19],
16360  [9,22],
16361  [10,20],
16362  [10,22],
16363  [11,19],
16364  [11,21],
16365  [12,20],
16366  [12,23],
16367  [13,14],
16368  [13,21],
16369  [13,24],
16370  [14,17],
16371  [14,25],
16372  [15,16],
16373  [15,23],
16374  [15,26],
16375  [16,18],
16376  [16,27],
16377  [17,18],
16378  [17,30],
16379  [18,31],
16380  [19,28],
16381  [19,32],
16382  [20,29],
16383  [20,34],
16384  [21,24],
16385  [21,33],
16386  [22,28],
16387  [22,29],
16388  [23,26],
16389  [23,35],
16390  [24,25],
16391  [24,36],
16392  [25,30],
16393  [25,39],
16394  [26,27],
16395  [26,38],
16396  [27,31],
16397  [27,40],
16398  [28,32],
16399  [28,41],
16400  [29,34],
16401  [29,42],
16402  [30,37],
16403  [30,39],
16404  [31,37],
16405  [31,40],
16406  [32,33],
16407  [32,43],
16408  [33,36],
16409  [33,44],
16410  [34,35],
16411  [34,45],
16412  [35,38],
16413  [35,46],
16414  [36,44],
16415  [36,47],
16416  [37,49],
16417  [37,50],
16418  [38,46],
16419  [38,48],
16420  [39,47],
16421  [39,49],
16422  [40,48],
16423  [40,50],
16424  [41,42],
16425  [41,43],
16426  [41,51],
16427  [42,45],
16428  [42,52],
16429  [43,44],
16430  [43,51],
16431  [44,53],
16432  [45,46],
16433  [45,52],
16434  [46,54],
16435  [47,53],
16436  [47,55],
16437  [48,54],
16438  [48,56],
16439  [49,50],
16440  [49,55],
16441  [50,56],
16442  [51,52],
16443  [51,57],
16444  [52,58],
16445  [53,55],
16446  [53,57],
16447  [54,56],
16448  [54,58],
16449  [55,59],
16450  [56,59],
16451  [57,58],
16452  [57,59],
16453  [58,59]
16454  ]
16455  ],
16456  [
16457  "johnson_paragyrate_diminished_rhombicosidodecahedron",
16458  "Paragyrate Diminished Rhombicosidodecahedron",
16459  "J77",
16460  "johnson",
16461  "Polyhedron Database #121",
16462  [
16463  [-0.89511739413, -0.01066203605, -0.29084127179],
16464  [-0.68380884127, 0.21152092494, -0.58168254359],
16465  [-0.89511739413, 0.21152092494, 0.06865831081],
16466  [-0.55321297349, 0.57102050754, -0.40193275229],
16467  [-0.68380884127, 0.57102050754, -0.00000000000],
16468  [-0.76452152635, -0.37016161865, -0.47059106309],
16469  [-0.89511739413, -0.37016161865, -0.06865831081],
16470  [-0.55321297349, -0.14797865766, -0.76143233488],
16471  [-0.89511739413, -0.14797865766, 0.29084127179],
16472  [-0.34190442064, 0.21152092494, -0.83009064569],
16473  [-0.76452152635, 0.21152092494, 0.47059106309],
16474  [-0.21130855286, 0.57102050754, -0.65034085439],
16475  [-0.34190442064, 0.79320346853, -0.11109148049],
16476  [-0.55321297349, 0.57102050754, 0.40193275229],
16477  [-0.55321297349, -0.72966120124, -0.40193275229],
16478  [-0.68380884127, -0.72966120124, 0.00000000000],
16479  [-0.21130855286, -0.37016161865, -0.87252381538],
16480  [-0.68380884127, -0.37016161865, 0.58168254359],
16481  [ 0.00000000000, 0.79320346853, -0.35949958260],
16482  [ 0.00000000000, -0.01066203605, -0.94118212618],
16483  [-0.21130855286, 0.79320346853, 0.29084127179],
16484  [-0.55321297349, -0.01066203605, 0.76143233488],
16485  [-0.21130855286, -0.72966120124, -0.65034085439],
16486  [-0.55321297349, -0.72966120124, 0.40193275229],
16487  [ 0.21130855286, 0.57102050754, -0.65034085439],
16488  [-0.21130855286, 0.57102050754, 0.65034085439],
16489  [ 0.34190442064, 0.21152092494, -0.83009064569],
16490  [ 0.21130855286, -0.37016161865, -0.87252381538],
16491  [-0.21130855286, 0.21152092494, 0.87252381538],
16492  [-0.34190442064, -0.37016161865, 0.83009064569],
16493  [ 0.34190442064, 0.79320346853, -0.11109148049],
16494  [ 0.21130855286, 0.79320346853, 0.29084127179],
16495  [ 0.21130855286, -0.72966120124, -0.65034085439],
16496  [-0.21130855286, -0.72966120124, 0.65034085439],
16497  [ 0.55321297349, 0.57102050754, -0.40193275229],
16498  [ 0.21130855286, 0.57102050754, 0.65034085439],
16499  [ 0.55321297349, -0.14797865766, -0.76143233488],
16500  [-0.00000000000, -0.14797865766, 0.94118212618],
16501  [ 0.68380884127, 0.21152092494, -0.58168254359],
16502  [ 0.21130855286, 0.21152092494, 0.87252381538],
16503  [ 0.68380884127, 0.57102050754, -0.00000000000],
16504  [ 0.55321297349, 0.57102050754, 0.40193275229],
16505  [ 0.55321297349, -0.72966120124, -0.40193275229],
16506  [ 0.21130855286, -0.72966120124, 0.65034085439],
16507  [ 0.76452152635, -0.37016161865, -0.47059106309],
16508  [ 0.34190442064, -0.37016161865, 0.83009064569],
16509  [ 0.89511739413, -0.01066203605, -0.29084127179],
16510  [ 0.55321297349, -0.01066203605, 0.76143233488],
16511  [ 0.89511739413, 0.21152092494, 0.06865831081],
16512  [ 0.76452152635, 0.21152092494, 0.47059106309],
16513  [ 0.68380884127, -0.72966120124, 0.00000000000],
16514  [ 0.55321297349, -0.72966120124, 0.40193275229],
16515  [ 0.89511739413, -0.37016161865, -0.06865831081],
16516  [ 0.68380884127, -0.37016161865, 0.58168254359],
16517  [ 0.89511739413, -0.14797865766, 0.29084127179]
16518  ],
16519  [
16520  [0.94124251586, -179.31756350391, 107.99880557644],
16521  [0.92232869119, 162.81172019540, 129.09937175186],
16522  [0.92232869119, 166.70459888665, 85.73094312148],
16523  [0.89087538490, 134.09252726870, 116.81852286780],
16524  [0.89087538490, 140.13613772628, 90.00000000001],
16525  [0.97106577369, -154.16493060775, 118.98711799516],
16526  [0.97106577369, -157.53323421366, 94.05442815563],
16527  [0.95274418275, -165.02457730647, 143.05369410523],
16528  [0.95274418275, -170.61290105830, 72.22577748956],
16529  [0.92232869119, 148.25678032571, 154.15732953498],
16530  [0.92232869119, 164.53477767260, 59.32147762346],
16531  [0.89087538490, 110.30720654252, 136.88656564168],
16532  [0.87086835536, 113.31809665424, 97.32884973488],
16533  [0.89087538490, 134.09252726870, 63.18147713221],
16534  [1.00000000000, -127.16859907793, 113.69905988308],
16535  [1.00000000000, -133.14200112376, 89.99999999998],
16536  [0.97106577369, -119.72009459651, 153.96444613297],
16537  [0.97106577369, -151.57228676923, 53.20064626834],
16538  [0.87086835536, 89.99999999999, 114.38121844220],
16539  [0.94124251586, -89.99999999999, 179.35096139266],
16540  [0.87086835536, 104.91709431400, 70.49026741946],
16541  [0.94124251586, -178.89587902827, 36.00505936905],
16542  [1.00000000000, -106.15091992088, 130.56730576486],
16543  [1.00000000000, -127.16859907793, 66.30094011689],
16544  [0.89087538490, 69.69279345746, 136.88656564167],
16545  [0.89087538490, 110.30720654252, 43.11343435834],
16546  [0.92232869119, 31.74321967426, 154.15732953497],
16547  [0.97106577369, -60.27990540348, 153.96444613297],
16548  [0.92232869119, 134.97122238702, 18.91492540417],
16549  [0.97106577369, -132.72750132961, 31.25966748280],
16550  [0.87086835536, 66.68190334573, 97.32884973487],
16551  [0.87086835536, 75.08290568598, 70.49026741946],
16552  [1.00000000000, -73.84908007910, 130.56730576486],
16553  [1.00000000000, -106.15091992089, 49.43269423511],
16554  [0.89087538490, 45.90747273128, 116.81852286780],
16555  [0.89087538490, 69.69279345747, 43.11343435833],
16556  [0.95274418275, -14.97542269352, 143.05369410523],
16557  [0.95274418275, -89.99999999999, 8.93526016570],
16558  [0.92232869119, 17.18827980459, 129.09937175186],
16559  [0.92232869119, 45.02877761297, 18.91492540417],
16560  [0.89087538490, 39.86386227371, 90.00000000000],
16561  [0.89087538490, 45.90747273129, 63.18147713221],
16562  [1.00000000000, -52.83140092206, 113.69905988309],
16563  [1.00000000000, -73.84908007910, 49.43269423511],
16564  [0.97106577369, -25.83506939224, 118.98711799516],
16565  [0.97106577369, -47.27249867039, 31.25966748280],
16566  [0.94124251586, -0.68243649607, 107.99880557644],
16567  [0.94124251586, -1.10412097172, 36.00505936904],
16568  [0.92232869119, 13.29540111334, 85.73094312148],
16569  [0.92232869119, 15.46522232739, 59.32147762346],
16570  [1.00000000000, -46.85799887623, 89.99999999998],
16571  [1.00000000000, -52.83140092206, 66.30094011688],
16572  [0.97106577369, -22.46676578632, 94.05442815563],
16573  [0.97106577369, -28.42771323077, 53.20064626834],
16574  [0.95274418275, -9.38709894169, 72.22577748956]
16575  ],
16576  [
16577  [27,16,22,32],
16578  [19,16,27],
16579  [19,9,7,16],
16580  [16,7,5,14,22],
16581  [9,1,7],
16582  [11,3,1,9],
16583  [7,1,0,5],
16584  [0,6,5],
16585  [0,2,8,6],
16586  [1,3,4,2,0],
16587  [2,10,8],
16588  [4,13,10,2],
16589  [36,26,19,27],
16590  [38,26,36],
16591  [38,34,24,26],
16592  [26,24,11,9,19],
16593  [24,18,11],
16594  [34,30,18,24],
16595  [11,18,12,3],
16596  [12,4,3],
16597  [12,20,13,4],
16598  [18,30,31,20,12],
16599  [20,25,13],
16600  [31,35,25,20],
16601  [44,46,38,36],
16602  [52,46,44],
16603  [52,54,48,46],
16604  [46,48,40,34,38],
16605  [54,49,48],
16606  [53,47,49,54],
16607  [48,49,41,40],
16608  [40,30,34],
16609  [40,41,31,30],
16610  [49,47,39,35,41],
16611  [41,35,31],
16612  [39,28,25,35],
16613  [42,50,52,44],
16614  [32,22,14,15,23,33,43,51,50,42],
16615  [50,51,53,54,52],
16616  [51,43,45,53],
16617  [45,47,53],
16618  [45,37,39,47],
16619  [43,33,29,37,45],
16620  [37,28,39],
16621  [29,21,28,37],
16622  [5,6,15,14],
16623  [23,17,29,33],
16624  [15,6,8,17,23],
16625  [17,21,29],
16626  [8,10,21,17],
16627  [42,44,36,27,32],
16628  [10,13,25,28,21]
16629  ],
16630  [
16631  [0,1],
16632  [0,2],
16633  [0,5],
16634  [0,6],
16635  [1,3],
16636  [1,7],
16637  [1,9],
16638  [2,4],
16639  [2,8],
16640  [2,10],
16641  [3,4],
16642  [3,11],
16643  [3,12],
16644  [4,12],
16645  [4,13],
16646  [5,6],
16647  [5,7],
16648  [5,14],
16649  [6,8],
16650  [6,15],
16651  [7,9],
16652  [7,16],
16653  [8,10],
16654  [8,17],
16655  [9,11],
16656  [9,19],
16657  [10,13],
16658  [10,21],
16659  [11,18],
16660  [11,24],
16661  [12,18],
16662  [12,20],
16663  [13,20],
16664  [13,25],
16665  [14,15],
16666  [14,22],
16667  [15,23],
16668  [16,19],
16669  [16,22],
16670  [16,27],
16671  [17,21],
16672  [17,23],
16673  [17,29],
16674  [18,24],
16675  [18,30],
16676  [19,26],
16677  [19,27],
16678  [20,25],
16679  [20,31],
16680  [21,28],
16681  [21,29],
16682  [22,32],
16683  [23,33],
16684  [24,26],
16685  [24,34],
16686  [25,28],
16687  [25,35],
16688  [26,36],
16689  [26,38],
16690  [27,32],
16691  [27,36],
16692  [28,37],
16693  [28,39],
16694  [29,33],
16695  [29,37],
16696  [30,31],
16697  [30,34],
16698  [30,40],
16699  [31,35],
16700  [31,41],
16701  [32,42],
16702  [33,43],
16703  [34,38],
16704  [34,40],
16705  [35,39],
16706  [35,41],
16707  [36,38],
16708  [36,44],
16709  [37,39],
16710  [37,45],
16711  [38,46],
16712  [39,47],
16713  [40,41],
16714  [40,48],
16715  [41,49],
16716  [42,44],
16717  [42,50],
16718  [43,45],
16719  [43,51],
16720  [44,46],
16721  [44,52],
16722  [45,47],
16723  [45,53],
16724  [46,48],
16725  [46,52],
16726  [47,49],
16727  [47,53],
16728  [48,49],
16729  [48,54],
16730  [49,54],
16731  [50,51],
16732  [50,52],
16733  [51,53],
16734  [52,54],
16735  [53,54]
16736  ]
16737  ],
16738  [
16739  "johnson_pentagonal_cupola",
16740  "Pentagonal Cupola",
16741  "J5",
16742  "johnson",
16743  "Polyhedron Database #49",
16744  [
16745  [ 0.30722035250, -0.10767686506, -0.94552702116],
16746  [-0.30722035250, -0.10767686506, -0.94552702116],
16747  [ 0.80431332487, -0.10767686506, -0.58436783636],
16748  [ 0.30722035250, 0.21535373011, -0.42285253878],
16749  [-0.30722035250, 0.21535373011, -0.42285253878],
16750  [-0.80431332487, -0.10767686506, -0.58436783636],
16751  [ 0.99418594475, -0.10767686506, 0.00000000000],
16752  [ 0.49709297237, 0.21535373011, 0.16151529758],
16753  [-0.49709297237, 0.21535373011, 0.16151529758],
16754  [-0.99418594475, -0.10767686506, -0.00000000000],
16755  [ 0.00000000000, 0.21535373011, 0.52267448238],
16756  [ 0.80431332487, -0.10767686506, 0.58436783636],
16757  [-0.80431332487, -0.10767686506, 0.58436783636],
16758  [ 0.30722035250, -0.10767686506, 0.94552702116],
16759  [-0.30722035250, -0.10767686506, 0.94552702116]
16760  ],
16761  [
16762  [1.00000000000, -19.31492121303, 161.00148636537],
16763  [1.00000000000, -160.68507878696, 161.00148636537],
16764  [1.00000000000, -7.62509363515, 125.75834309459],
16765  [0.56530155104, 35.02948816948, 138.41849317790],
16766  [0.56530155104, 144.97051183050, 138.41849317790],
16767  [1.00000000000, -172.37490636484, 125.75834309458],
16768  [1.00000000000, -6.18141426338, 89.99999999999],
16769  [0.56530155104, 23.42352770491, 73.39839025197],
16770  [0.56530155104, 156.57647229507, 73.39839025196],
16771  [1.00000000000, -173.81858573662, 89.99999999999],
16772  [0.56530155104, 89.99999999997, 22.39277092895],
16773  [1.00000000000, -7.62509363516, 54.24165690541],
16774  [1.00000000000, -172.37490636484, 54.24165690540],
16775  [1.00000000000, -19.31492121306, 18.99851363462],
16776  [1.00000000000, -160.68507878694, 18.99851363462]
16777  ],
16778  [
16779  [0,1,5,9,12,14,13,11,6,2],
16780  [7,10,8,4,3],
16781  [1,0,3,4],
16782  [5,1,4],
16783  [9,5,4,8],
16784  [12,9,8],
16785  [14,12,8,10],
16786  [13,14,10],
16787  [11,13,10,7],
16788  [6,11,7],
16789  [2,6,7,3],
16790  [0,2,3]
16791  ],
16792  [
16793  [0,1],
16794  [0,2],
16795  [0,3],
16796  [1,4],
16797  [1,5],
16798  [2,3],
16799  [2,6],
16800  [3,4],
16801  [3,7],
16802  [4,5],
16803  [4,8],
16804  [5,9],
16805  [6,7],
16806  [6,11],
16807  [7,10],
16808  [7,11],
16809  [8,9],
16810  [8,10],
16811  [8,12],
16812  [9,12],
16813  [10,13],
16814  [10,14],
16815  [11,13],
16816  [12,14],
16817  [13,14]
16818  ]
16819  ],
16820  [
16821  "johnson_pentagonal_dipyramid",
16822  "Pentagonal Dipyramid",
16823  "J13",
16824  "johnson",
16825  "Polyhedron Database #57",
16826  [
16827  [ 0.00000000000, 0.61803398875, 0.00000000000],
16828  [ 0.00000000000, -0.00000000000, 1.00000000000],
16829  [ 0.95105651630, -0.00000000000, 0.30901699437],
16830  [-0.95105651630, -0.00000000000, 0.30901699437],
16831  [ 0.58778525229, 0.00000000000, -0.80901699437],
16832  [-0.58778525229, -0.00000000000, -0.80901699437],
16833  [ 0.00000000000, -0.61803398875, 0.00000000000]
16834  ],
16835  [
16836  [0.61803398875, 89.99999999999, 89.99999999999],
16837  [1.00000000000, -0.00000000000, 0.00000000000],
16838  [1.00000000000, -0.00000000000, 72.00000000000],
16839  [1.00000000000, -179.99999999999, 72.00000000000],
16840  [1.00000000000, 0.00000000000, 143.99999999999],
16841  [1.00000000000, -179.99999999999, 143.99999999999],
16842  [0.61803398875, -89.99999999999, 89.99999999999]
16843  ],
16844  [
16845  [0,2,1],
16846  [0,5,4],
16847  [0,4,2],
16848  [0,1,3],
16849  [0,3,5],
16850  [6,1,2],
16851  [6,4,5],
16852  [6,2,4],
16853  [6,3,1],
16854  [6,5,3]
16855  ],
16856  [
16857  [0,1],
16858  [0,2],
16859  [0,3],
16860  [0,4],
16861  [0,5],
16862  [1,2],
16863  [1,3],
16864  [1,6],
16865  [2,4],
16866  [2,6],
16867  [3,5],
16868  [3,6],
16869  [4,5],
16870  [4,6],
16871  [5,6]
16872  ]
16873  ],
16874  [
16875  "johnson_pentagonal_gyrobicupola",
16876  "Pentagonal Gyrobicupola",
16877  "J31",
16878  "johnson",
16879  "Polyhedron Database #75",
16880  [
16881  [ 0.80901699437, 0.00000000000, 0.58778525229],
16882  [ 0.30901699437, 0.00000000000, 0.95105651630],
16883  [ 1.00000000000, 0.00000000000, -0.00000000000],
16884  [-0.30901699437, 0.00000000000, 0.95105651630],
16885  [ 0.30901699438, -0.32491969623, 0.42532540418],
16886  [ 0.50000000000, 0.32491969623, 0.16245984812],
16887  [ 0.00000000000, 0.32491969623, 0.52573111212],
16888  [ 0.50000000000, -0.32491969623, -0.16245984812],
16889  [-0.30901699437, -0.32491969623, 0.42532540418],
16890  [ 0.80901699437, 0.00000000000, -0.58778525229],
16891  [-0.80901699437, 0.00000000000, 0.58778525229],
16892  [ 0.30901699437, 0.32491969623, -0.42532540418],
16893  [-0.50000000000, 0.32491969623, 0.16245984812],
16894  [-0.00000000000, -0.32491969623, -0.52573111212],
16895  [-0.50000000000, -0.32491969623, -0.16245984812],
16896  [-0.30901699438, 0.32491969623, -0.42532540418],
16897  [ 0.30901699437, -0.00000000000, -0.95105651630],
16898  [-1.00000000000, 0.00000000000, 0.00000000000],
16899  [-0.30901699437, -0.00000000000, -0.95105651630],
16900  [-0.80901699437, -0.00000000000, -0.58778525229]
16901  ],
16902  [
16903  [1.00000000000, 0.00000000001, 54.00000000000],
16904  [1.00000000000, 0.00000000002, 18.00000000000],
16905  [1.00000000000, 0.00000000000, 89.99999999999],
16906  [1.00000000000, 179.99999999997, 18.00000000000],
16907  [0.61803398875, -46.43699940041, 46.51292225447],
16908  [0.61803398875, 33.01739809414, 74.75983771732],
16909  [0.61803398875, 89.99999999999, 31.71747441146],
16910  [0.61803398875, -33.01739809415, 105.24016228267],
16911  [0.61803398875, -133.56300059956, 46.51292225447],
16912  [1.00000000000, 0.00000000000, 125.99999999999],
16913  [1.00000000000, 179.99999999999, 54.00000000000],
16914  [0.61803398875, 46.43699940043, 133.48707774552],
16915  [0.61803398875, 146.98260190584, 74.75983771731],
16916  [0.61803398875, -89.99999999999, 148.28252558853],
16917  [0.61803398875, -146.98260190585, 105.24016228267],
16918  [0.61803398875, 133.56300059958, 133.48707774551],
16919  [1.00000000000, -0.00000000002, 161.99999999999],
16920  [1.00000000000, 179.99999999999, 89.99999999999],
16921  [1.00000000000, -179.99999999997, 161.99999999999],
16922  [1.00000000000, -179.99999999998, 125.99999999999]
16923  ],
16924  [
16925  [13,14,8,4,7],
16926  [0,2,7,4],
16927  [1,0,4],
16928  [3,1,4,8],
16929  [10,3,8],
16930  [17,10,8,14],
16931  [19,17,14],
16932  [18,19,14,13],
16933  [16,18,13],
16934  [9,16,13,7],
16935  [2,9,7],
16936  [12,15,11,5,6],
16937  [0,1,6,5],
16938  [2,0,5],
16939  [9,2,5,11],
16940  [16,9,11],
16941  [18,16,11,15],
16942  [19,18,15],
16943  [17,19,15,12],
16944  [10,17,12],
16945  [3,10,12,6],
16946  [1,3,6]
16947  ],
16948  [
16949  [0,1],
16950  [0,2],
16951  [0,4],
16952  [0,5],
16953  [1,3],
16954  [1,4],
16955  [1,6],
16956  [2,5],
16957  [2,7],
16958  [2,9],
16959  [3,6],
16960  [3,8],
16961  [3,10],
16962  [4,7],
16963  [4,8],
16964  [5,6],
16965  [5,11],
16966  [6,12],
16967  [7,9],
16968  [7,13],
16969  [8,10],
16970  [8,14],
16971  [9,11],
16972  [9,16],
16973  [10,12],
16974  [10,17],
16975  [11,15],
16976  [11,16],
16977  [12,15],
16978  [12,17],
16979  [13,14],
16980  [13,16],
16981  [13,18],
16982  [14,17],
16983  [14,19],
16984  [15,18],
16985  [15,19],
16986  [16,18],
16987  [17,19],
16988  [18,19]
16989  ]
16990  ],
16991  [
16992  "johnson_pentagonal_gyrocupolarotunda",
16993  "Pentagonal Gyrocupolarotunda",
16994  "J33",
16995  "johnson",
16996  "Polyhedron Database #77",
16997  [
16998  [ 0.48929794886, -0.52375640567, 0.15898254091],
16999  [ 0.97859589772, -0.20579132385, 0.00000000000],
17000  [ 0.79170071188, -0.20579132385, 0.57520423663],
17001  [ 0.30240276302, -0.52375640567, -0.41622169572],
17002  [ 0.79170071188, -0.20579132385, -0.57520423663],
17003  [-0.00000000000, -0.52375640567, 0.51447830962],
17004  [ 0.30240276302, -0.20579132385, 0.93070000534],
17005  [ 0.30240276302, -0.20579132385, -0.93070000534],
17006  [-0.30240276302, -0.52375640567, -0.41622169572],
17007  [-0.48929794886, -0.52375640567, 0.15898254091],
17008  [ 0.79170071188, 0.30868698577, 0.25723915481],
17009  [-0.30240276302, -0.20579132385, 0.93070000534],
17010  [ 0.48929794886, 0.30868698577, -0.67346085053],
17011  [-0.30240276302, -0.20579132385, -0.93070000534],
17012  [ 0.00000000000, 0.30868698577, 0.83244339144],
17013  [-0.79170071188, -0.20579132385, 0.57520423663],
17014  [ 0.48929794886, 0.62665206759, -0.15898254091],
17015  [-0.79170071188, -0.20579132385, -0.57520423663],
17016  [ 0.30240276302, 0.62665206759, 0.41622169572],
17017  [-0.97859589772, -0.20579132385, 0.00000000000],
17018  [ 0.00000000000, 0.62665206759, -0.51447830962],
17019  [-0.48929794886, 0.30868698577, -0.67346085053],
17020  [-0.30240276302, 0.62665206759, 0.41622169572],
17021  [-0.79170071188, 0.30868698577, 0.25723915481],
17022  [-0.48929794886, 0.62665206759, -0.15898254091]
17023  ],
17024  [
17025  [0.73417212120, -46.94813165232, 77.49371610816],
17026  [1.00000000000, -11.87582630949, 89.99999999999],
17027  [1.00000000000, -14.57076836071, 54.88606373435],
17028  [0.73417212120, -59.99902685056, 124.53618426143],
17029  [1.00000000000, -14.57076836072, 125.11393626563],
17030  [0.73417212120, -89.99999999999, 45.51200522128],
17031  [1.00000000000, -34.23609575664, 21.45580279234],
17032  [1.00000000000, -34.23609575667, 158.54419720764],
17033  [0.73417212120, -120.00097314944, 124.53618426143],
17034  [0.73417212120, -133.05186834768, 77.49371610816],
17035  [0.88783424981, 21.30099109945, 73.15774001182],
17036  [1.00000000000, -145.76390424335, 21.45580279234],
17037  [0.88783424981, 32.24689857204, 139.33595894372],
17038  [1.00000000000, -145.76390424332, 158.54419720764],
17039  [0.88783424981, 89.99999999998, 20.34580761434],
17040  [1.00000000000, -165.42923163929, 54.88606373435],
17041  [0.81079019783, 52.01682666814, 101.30802279485],
17042  [1.00000000000, -165.42923163928, 125.11393626564],
17043  [0.81079019783, 64.23949134904, 59.11255988195],
17044  [1.00000000000, -168.12417369050, 89.99999999999],
17045  [0.81079019783, 89.99999999998, 129.38582952635],
17046  [0.88783424981, 147.75310142795, 139.33595894372],
17047  [0.81079019783, 115.76050865093, 59.11255988196],
17048  [0.88783424981, 158.69900890053, 73.15774001182],
17049  [0.81079019783, 127.98317333184, 101.30802279485]
17050  ],
17051  [
17052  [3,8,9,5,0],
17053  [6,2,0,5],
17054  [11,6,5],
17055  [15,11,5,9],
17056  [19,15,9],
17057  [17,19,9,8],
17058  [13,17,8],
17059  [7,13,8,3],
17060  [4,7,3],
17061  [1,4,3,0],
17062  [2,1,0],
17063  [16,18,22,24,20],
17064  [21,13,7,12,20],
17065  [24,21,20],
17066  [17,13,21],
17067  [23,19,17,21,24],
17068  [22,23,24],
17069  [15,19,23],
17070  [14,11,15,23,22],
17071  [18,14,22],
17072  [6,11,14],
17073  [10,2,6,14,18],
17074  [16,10,18],
17075  [1,2,10],
17076  [12,4,1,10,16],
17077  [20,12,16],
17078  [7,4,12]
17079  ],
17080  [
17081  [0,1],
17082  [0,2],
17083  [0,3],
17084  [0,5],
17085  [1,2],
17086  [1,4],
17087  [1,10],
17088  [2,6],
17089  [2,10],
17090  [3,4],
17091  [3,7],
17092  [3,8],
17093  [4,7],
17094  [4,12],
17095  [5,6],
17096  [5,9],
17097  [5,11],
17098  [6,11],
17099  [6,14],
17100  [7,12],
17101  [7,13],
17102  [8,9],
17103  [8,13],
17104  [8,17],
17105  [9,15],
17106  [9,19],
17107  [10,16],
17108  [10,18],
17109  [11,14],
17110  [11,15],
17111  [12,16],
17112  [12,20],
17113  [13,17],
17114  [13,21],
17115  [14,18],
17116  [14,22],
17117  [15,19],
17118  [15,23],
17119  [16,18],
17120  [16,20],
17121  [17,19],
17122  [17,21],
17123  [18,22],
17124  [19,23],
17125  [20,21],
17126  [20,24],
17127  [21,24],
17128  [22,23],
17129  [22,24],
17130  [23,24]
17131  ]
17132  ],
17133  [
17134  "johnson_pentagonal_orthobicupola",
17135  "Pentagonal Orthobicupola",
17136  "J30",
17137  "johnson",
17138  "Polyhedron Database #74",
17139  [
17140  [ 0.30901699438, 0.00000000000, 0.95105651630],
17141  [-0.30901699437, 0.00000000000, 0.95105651630],
17142  [ 0.80901699437, 0.00000000000, 0.58778525229],
17143  [ 0.00000000000, 0.32491969623, 0.52573111212],
17144  [-0.00000000000, -0.32491969623, 0.52573111212],
17145  [-0.80901699437, 0.00000000000, 0.58778525229],
17146  [ 0.50000000000, 0.32491969623, 0.16245984812],
17147  [ 0.50000000000, -0.32491969623, 0.16245984812],
17148  [ 1.00000000000, 0.00000000000, -0.00000000000],
17149  [-0.50000000000, 0.32491969623, 0.16245984812],
17150  [-0.50000000000, -0.32491969623, 0.16245984812],
17151  [-1.00000000000, 0.00000000000, 0.00000000000],
17152  [ 0.30901699437, 0.32491969623, -0.42532540418],
17153  [ 0.30901699437, -0.32491969623, -0.42532540418],
17154  [ 0.80901699437, -0.00000000000, -0.58778525229],
17155  [-0.30901699438, 0.32491969623, -0.42532540418],
17156  [-0.30901699438, -0.32491969623, -0.42532540418],
17157  [-0.80901699437, -0.00000000000, -0.58778525229],
17158  [ 0.30901699437, -0.00000000000, -0.95105651630],
17159  [-0.30901699438, 0.00000000000, -0.95105651630]
17160  ],
17161  [
17162  [1.00000000000, 0.00000000000, 18.00000000000],
17163  [1.00000000000, 179.99999999999, 17.99999999999],
17164  [1.00000000000, 0.00000000001, 54.00000000000],
17165  [0.61803398875, 89.99999999998, 31.71747441146],
17166  [0.61803398875, -89.99999999999, 31.71747441146],
17167  [1.00000000000, 179.99999999998, 53.99999999999],
17168  [0.61803398875, 33.01739809414, 74.75983771732],
17169  [0.61803398875, -33.01739809414, 74.75983771731],
17170  [1.00000000000, 0.00000000000, 90.00000000000],
17171  [0.61803398875, 146.98260190585, 74.75983771731],
17172  [0.61803398875, -146.98260190585, 74.75983771731],
17173  [1.00000000000, 179.99999999999, 89.99999999999],
17174  [0.61803398875, 46.43699940043, 133.48707774551],
17175  [0.61803398875, -46.43699940043, 133.48707774551],
17176  [1.00000000000, -0.00000000001, 125.99999999999],
17177  [0.61803398875, 133.56300059957, 133.48707774552],
17178  [0.61803398875, -133.56300059957, 133.48707774551],
17179  [1.00000000000, -179.99999999998, 125.99999999999],
17180  [1.00000000000, -0.00000000002, 162.00000000000],
17181  [1.00000000000, 179.99999999999, 161.99999999999]
17182  ],
17183  [
17184  [13,16,10,4,7],
17185  [0,2,7,4],
17186  [1,0,4],
17187  [5,1,4,10],
17188  [11,5,10],
17189  [17,11,10,16],
17190  [19,17,16],
17191  [18,19,16,13],
17192  [14,18,13],
17193  [8,14,13,7],
17194  [2,8,7],
17195  [9,15,12,6,3],
17196  [2,0,3,6],
17197  [8,2,6],
17198  [14,8,6,12],
17199  [18,14,12],
17200  [19,18,12,15],
17201  [17,19,15],
17202  [11,17,15,9],
17203  [5,11,9],
17204  [1,5,9,3],
17205  [0,1,3]
17206  ],
17207  [
17208  [0,1],
17209  [0,2],
17210  [0,3],
17211  [0,4],
17212  [1,3],
17213  [1,4],
17214  [1,5],
17215  [2,6],
17216  [2,7],
17217  [2,8],
17218  [3,6],
17219  [3,9],
17220  [4,7],
17221  [4,10],
17222  [5,9],
17223  [5,10],
17224  [5,11],
17225  [6,8],
17226  [6,12],
17227  [7,8],
17228  [7,13],
17229  [8,14],
17230  [9,11],
17231  [9,15],
17232  [10,11],
17233  [10,16],
17234  [11,17],
17235  [12,14],
17236  [12,15],
17237  [12,18],
17238  [13,14],
17239  [13,16],
17240  [13,18],
17241  [14,18],
17242  [15,17],
17243  [15,19],
17244  [16,17],
17245  [16,19],
17246  [17,19],
17247  [18,19]
17248  ]
17249  ],
17250  [
17251  "johnson_pentagonal_orthobirotunda",
17252  "Pentagonal Orthobirotunda",
17253  "J34",
17254  "johnson",
17255  "Polyhedron Database #78",
17256  [
17257  [ 0.80901699437, -0.52573111212, 0.26286555606],
17258  [ 1.00000000000, -0.00000000000, 0.00000000000],
17259  [ 0.50000000000, -0.85065080835, -0.16245984812],
17260  [ 0.80901699437, -0.00000000000, 0.58778525229],
17261  [ 0.30901699437, -0.85065080835, 0.42532540418],
17262  [ 0.80901699437, -0.00000000000, -0.58778525229],
17263  [ 0.50000000000, -0.52573111212, -0.68819096024],
17264  [ 0.80901699437, 0.52573111212, 0.26286555606],
17265  [ 0.30901699438, 0.00000000000, 0.95105651630],
17266  [-0.00000000000, -0.85065080835, -0.52573111212],
17267  [-0.00000000000, -0.52573111212, 0.85065080835],
17268  [ 0.30901699437, -0.00000000000, -0.95105651630],
17269  [ 0.50000000000, 0.52573111212, -0.68819096024],
17270  [-0.30901699438, -0.85065080835, 0.42532540418],
17271  [ 0.50000000000, 0.85065080835, -0.16245984812],
17272  [ 0.30901699438, 0.85065080835, 0.42532540418],
17273  [-0.50000000000, -0.85065080835, -0.16245984812],
17274  [ 0.00000000000, 0.52573111212, 0.85065080835],
17275  [-0.30901699437, 0.00000000000, 0.95105651630],
17276  [-0.50000000000, -0.52573111212, -0.68819096024],
17277  [-0.30901699438, 0.00000000000, -0.95105651630],
17278  [ 0.00000000000, 0.85065080835, -0.52573111212],
17279  [-0.80901699437, -0.52573111212, 0.26286555606],
17280  [-0.30901699437, 0.85065080835, 0.42532540418],
17281  [-0.80901699437, 0.00000000000, 0.58778525229],
17282  [-0.50000000000, 0.52573111212, -0.68819096024],
17283  [-0.80901699437, 0.00000000000, -0.58778525229],
17284  [-0.50000000000, 0.85065080835, -0.16245984812],
17285  [-1.00000000000, 0.00000000000, 0.00000000000],
17286  [-0.80901699437, 0.52573111212, 0.26286555606]
17287  ],
17288  [
17289  [1.00000000000, -33.01739809414, 74.75983771732],
17290  [1.00000000000, -0.00000000001, 89.99999999999],
17291  [1.00000000000, -59.55361568294, 99.34970354257],
17292  [1.00000000000, -0.00000000001, 54.00000000000],
17293  [1.00000000000, -70.03537125612, 64.82873782805],
17294  [1.00000000000, -0.00000000001, 125.99999999999],
17295  [1.00000000000, -46.43699940043, 133.48707774551],
17296  [1.00000000000, 33.01739809413, 74.75983771732],
17297  [1.00000000000, 0.00000000000, 18.00000000000],
17298  [1.00000000000, -90.00000000000, 121.71747441145],
17299  [1.00000000000, -90.00000000000, 31.71747441146],
17300  [1.00000000000, -0.00000000002, 161.99999999999],
17301  [1.00000000000, 46.43699940041, 133.48707774551],
17302  [1.00000000000, -109.96462874389, 64.82873782806],
17303  [1.00000000000, 59.55361568292, 99.34970354257],
17304  [1.00000000000, 70.03537125611, 64.82873782806],
17305  [1.00000000000, -120.44638431706, 99.34970354256],
17306  [1.00000000000, 89.99999999998, 31.71747441146],
17307  [1.00000000000, 179.99999999997, 18.00000000000],
17308  [1.00000000000, -133.56300059957, 133.48707774551],
17309  [1.00000000000, 179.99999999999, 161.99999999999],
17310  [1.00000000000, 89.99999999998, 121.71747441145],
17311  [1.00000000000, -146.98260190586, 74.75983771731],
17312  [1.00000000000, 109.96462874387, 64.82873782806],
17313  [1.00000000000, 179.99999999998, 54.00000000000],
17314  [1.00000000000, 133.56300059956, 133.48707774552],
17315  [1.00000000000, 179.99999999998, 125.99999999999],
17316  [1.00000000000, 120.44638431705, 99.34970354257],
17317  [1.00000000000, 179.99999999998, 89.99999999999],
17318  [1.00000000000, 146.98260190584, 74.75983771732]
17319  ],
17320  [
17321  [23,27,21,14,15],
17322  [7,3,8,17,15],
17323  [14,7,15],
17324  [1,3,7],
17325  [12,5,1,7,14],
17326  [21,12,14],
17327  [11,5,12],
17328  [25,20,11,12,21],
17329  [27,25,21],
17330  [26,20,25],
17331  [29,28,26,25,27],
17332  [23,29,27],
17333  [24,28,29],
17334  [17,18,24,29,23],
17335  [15,17,23],
17336  [8,18,17],
17337  [2,9,16,13,4],
17338  [10,8,3,0,4],
17339  [13,10,4],
17340  [18,8,10],
17341  [22,24,18,10,13],
17342  [16,22,13],
17343  [28,24,22],
17344  [19,26,28,22,16],
17345  [9,19,16],
17346  [20,26,19],
17347  [6,11,20,19,9],
17348  [2,6,9],
17349  [5,11,6],
17350  [0,1,5,6,2],
17351  [4,0,2],
17352  [3,1,0]
17353  ],
17354  [
17355  [0,1],
17356  [0,2],
17357  [0,3],
17358  [0,4],
17359  [1,3],
17360  [1,5],
17361  [1,7],
17362  [2,4],
17363  [2,6],
17364  [2,9],
17365  [3,7],
17366  [3,8],
17367  [4,10],
17368  [4,13],
17369  [5,6],
17370  [5,11],
17371  [5,12],
17372  [6,9],
17373  [6,11],
17374  [7,14],
17375  [7,15],
17376  [8,10],
17377  [8,17],
17378  [8,18],
17379  [9,16],
17380  [9,19],
17381  [10,13],
17382  [10,18],
17383  [11,12],
17384  [11,20],
17385  [12,14],
17386  [12,21],
17387  [13,16],
17388  [13,22],
17389  [14,15],
17390  [14,21],
17391  [15,17],
17392  [15,23],
17393  [16,19],
17394  [16,22],
17395  [17,18],
17396  [17,23],
17397  [18,24],
17398  [19,20],
17399  [19,26],
17400  [20,25],
17401  [20,26],
17402  [21,25],
17403  [21,27],
17404  [22,24],
17405  [22,28],
17406  [23,27],
17407  [23,29],
17408  [24,28],
17409  [24,29],
17410  [25,26],
17411  [25,27],
17412  [26,28],
17413  [27,29],
17414  [28,29]
17415  ]
17416  ],
17417  [
17418  "johnson_pentagonal_orthocupolarontunda",
17419  "Pentagonal Orthocupolarontunda",
17420  "J32",
17421  "johnson",
17422  "Polyhedron Database #76",
17423  [
17424  [-0.97859589772, -0.20579132385, 0.00000000000],
17425  [-0.79170071188, -0.20579132385, 0.57520423663],
17426  [-0.79170071188, -0.20579132385, -0.57520423663],
17427  [-0.48929794886, -0.52375640567, -0.15898254091],
17428  [-0.79170071188, 0.30868698577, 0.25723915481],
17429  [-0.30240276302, -0.52375640567, 0.41622169572],
17430  [-0.30240276302, -0.20579132385, 0.93070000534],
17431  [-0.30240276302, -0.20579132385, -0.93070000534],
17432  [-0.48929794886, 0.30868698577, -0.67346085053],
17433  [ 0.00000000000, -0.52375640567, -0.51447830962],
17434  [-0.48929794886, 0.62665206759, -0.15898254091],
17435  [-0.30240276302, 0.62665206759, 0.41622169572],
17436  [ 0.30240276302, -0.52375640567, 0.41622169572],
17437  [-0.00000000000, 0.30868698577, 0.83244339144],
17438  [ 0.30240276302, -0.20579132385, 0.93070000534],
17439  [ 0.48929794886, -0.52375640567, -0.15898254091],
17440  [ 0.30240276302, -0.20579132385, -0.93070000534],
17441  [-0.00000000000, 0.62665206759, -0.51447830962],
17442  [ 0.30240276302, 0.62665206759, 0.41622169572],
17443  [ 0.79170071188, -0.20579132385, 0.57520423663],
17444  [ 0.48929794886, 0.30868698577, -0.67346085053],
17445  [ 0.79170071188, -0.20579132385, -0.57520423663],
17446  [ 0.48929794886, 0.62665206759, -0.15898254091],
17447  [ 0.97859589772, -0.20579132385, 0.00000000000],
17448  [ 0.79170071188, 0.30868698577, 0.25723915481]
17449  ],
17450  [
17451  [1.00000000000, -168.12417369050, 89.99999999999],
17452  [1.00000000000, -165.42923163927, 54.88606373436],
17453  [1.00000000000, -165.42923163928, 125.11393626564],
17454  [0.73417212120, -133.05186834767, 102.50628389183],
17455  [0.88783424981, 158.69900890054, 73.15774001182],
17456  [0.73417212120, -120.00097314944, 55.46381573856],
17457  [1.00000000000, -145.76390424332, 21.45580279235],
17458  [1.00000000000, -145.76390424334, 158.54419720765],
17459  [0.88783424981, 147.75310142793, 139.33595894371],
17460  [0.73417212120, -89.99999999998, 134.48799477872],
17461  [0.81079019783, 127.98317333184, 101.30802279484],
17462  [0.81079019783, 115.76050865095, 59.11255988195],
17463  [0.73417212120, -59.99902685056, 55.46381573856],
17464  [0.88783424981, 90.00000000001, 20.34580761433],
17465  [1.00000000000, -34.23609575666, 21.45580279234],
17466  [0.73417212120, -46.94813165231, 102.50628389183],
17467  [1.00000000000, -34.23609575664, 158.54419720764],
17468  [0.81079019783, 89.99999999999, 129.38582952634],
17469  [0.81079019783, 64.23949134905, 59.11255988195],
17470  [1.00000000000, -14.57076836071, 54.88606373435],
17471  [0.88783424981, 32.24689857206, 139.33595894371],
17472  [1.00000000000, -14.57076836070, 125.11393626564],
17473  [0.81079019783, 52.01682666816, 101.30802279484],
17474  [1.00000000000, -11.87582630949, 89.99999999999],
17475  [0.88783424981, 21.30099109945, 73.15774001182]
17476  ],
17477  [
17478  [12,15,9,3,5],
17479  [0,1,5,3],
17480  [2,0,3],
17481  [7,2,3,9],
17482  [16,7,9],
17483  [21,16,9,15],
17484  [23,21,15],
17485  [19,23,15,12],
17486  [14,19,12],
17487  [6,14,12,5],
17488  [1,6,5],
17489  [11,10,17,22,18],
17490  [24,19,14,13,18],
17491  [22,24,18],
17492  [23,19,24],
17493  [20,21,23,24,22],
17494  [17,20,22],
17495  [16,21,20],
17496  [8,7,16,20,17],
17497  [10,8,17],
17498  [2,7,8],
17499  [4,0,2,8,10],
17500  [11,4,10],
17501  [1,0,4],
17502  [13,6,1,4,11],
17503  [18,13,11],
17504  [14,6,13]
17505  ],
17506  [
17507  [0,1],
17508  [0,2],
17509  [0,3],
17510  [0,4],
17511  [1,4],
17512  [1,5],
17513  [1,6],
17514  [2,3],
17515  [2,7],
17516  [2,8],
17517  [3,5],
17518  [3,9],
17519  [4,10],
17520  [4,11],
17521  [5,6],
17522  [5,12],
17523  [6,13],
17524  [6,14],
17525  [7,8],
17526  [7,9],
17527  [7,16],
17528  [8,10],
17529  [8,17],
17530  [9,15],
17531  [9,16],
17532  [10,11],
17533  [10,17],
17534  [11,13],
17535  [11,18],
17536  [12,14],
17537  [12,15],
17538  [12,19],
17539  [13,14],
17540  [13,18],
17541  [14,19],
17542  [15,21],
17543  [15,23],
17544  [16,20],
17545  [16,21],
17546  [17,20],
17547  [17,22],
17548  [18,22],
17549  [18,24],
17550  [19,23],
17551  [19,24],
17552  [20,21],
17553  [20,22],
17554  [21,23],
17555  [22,24],
17556  [23,24]
17557  ]
17558  ],
17559  [
17560  "johnson_pentagonal_pyramid",
17561  "Pentagonal Pyramid",
17562  "J2",
17563  "johnson",
17564  "Polyhedron Database #46",
17565  [
17566  [ 0.00000000000, 0.51231760759, 0.00000000000],
17567  [ 0.00000000000, -0.10246352152, 0.99473676254],
17568  [ 0.94605088002, -0.10246352152, 0.30739056456],
17569  [-0.94605088002, -0.10246352152, 0.30739056456],
17570  [ 0.58469159894, -0.10246352152, -0.80475894583],
17571  [-0.58469159894, -0.10246352152, -0.80475894583]
17572  ],
17573  [
17574  [0.51231760759, 89.99999999999, 89.99999999999],
17575  [1.00000000000, -89.99999999999, 5.88104874729],
17576  [1.00000000000, -6.18141426337, 72.09795604403],
17577  [1.00000000000, -173.81858573661, 72.09795604404],
17578  [1.00000000000, -9.93979324212, 143.58698182134],
17579  [1.00000000000, -170.06020675786, 143.58698182134]
17580  ],
17581  [
17582  [0,2,1],
17583  [0,5,4],
17584  [0,4,2],
17585  [0,1,3],
17586  [0,3,5],
17587  [1,2,4,5,3]
17588  ],
17589  [
17590  [0,1],
17591  [0,2],
17592  [0,3],
17593  [0,4],
17594  [0,5],
17595  [1,2],
17596  [1,3],
17597  [2,4],
17598  [3,5],
17599  [4,5]
17600  ]
17601  ],
17602  [
17603  "johnson_pentagonal_rotunda",
17604  "Pentagonal Rotunda",
17605  "J6",
17606  "johnson",
17607  "Polyhedron Database #50",
17608  [
17609  [-0.29220218217, -0.32537191156, -0.89930584559],
17610  [-0.47279306233, 0.17175213337, -0.65074382312],
17611  [-0.76499524450, -0.32537191156, -0.55580157885],
17612  [ 0.29220218217, -0.32537191156, -0.89930584559],
17613  [-0.00000000000, 0.47899168976, -0.49712404493],
17614  [ 0.47279306233, 0.17175213337, -0.65074382312],
17615  [-0.47279306233, 0.47899168976, -0.15361977820],
17616  [-0.94558612467, -0.32537191156, -0.00000000000],
17617  [ 0.76499524450, -0.32537191156, -0.55580157885],
17618  [ 0.47279306233, 0.47899168976, -0.15361977819],
17619  [-0.76499524450, 0.17175213337, 0.24856202246],
17620  [-0.29220218217, 0.47899168976, 0.40218180066],
17621  [ 0.29220218217, 0.47899168976, 0.40218180066],
17622  [-0.76499524450, -0.32537191156, 0.55580157885],
17623  [ 0.94558612467, -0.32537191156, 0.00000000000],
17624  [ 0.76499524450, 0.17175213337, 0.24856202246],
17625  [-0.00000000000, 0.17175213337, 0.80436360132],
17626  [-0.29220218217, -0.32537191156, 0.89930584559],
17627  [ 0.76499524450, -0.32537191156, 0.55580157885],
17628  [ 0.29220218217, -0.32537191156, 0.89930584559]
17629  ],
17630  [
17631  [1.00000000000, -131.92561392578, 154.06697321909],
17632  [0.82249595649, 160.03537125611, 142.29608915044],
17633  [1.00000000000, -156.95871796350, 123.76594330353],
17634  [1.00000000000, -48.07438607416, 154.06697321908],
17635  [0.69033713133, 89.99999999999, 136.06420572229],
17636  [0.82249595649, 19.96462874388, 142.29608915042],
17637  [0.69033713133, 134.62685873238, 102.85759532880],
17638  [1.00000000000, -161.01189134548, 90.00000000000],
17639  [1.00000000000, -23.04128203647, 123.76594330352],
17640  [0.69033713133, 45.37314126762, 102.85759532877],
17641  [0.82249595649, 167.34612388850, 72.40993812016],
17642  [0.69033713133, 121.38469498319, 54.36725809145],
17643  [0.69033713133, 58.61530501681, 54.36725809145],
17644  [1.00000000000, -156.95871796352, 56.23405669646],
17645  [1.00000000000, -18.98810865450, 89.99999999999],
17646  [0.82249595649, 12.65387611150, 72.40993812013],
17647  [0.82249595649, 89.99999999999, 12.05310532627],
17648  [1.00000000000, -131.92561392583, 25.93302678090],
17649  [1.00000000000, -23.04128203647, 56.23405669645],
17650  [1.00000000000, -48.07438607417, 25.93302678088]
17651  ],
17652  [
17653  [7,13,17,19,18,14,8,3,0,2],
17654  [6,4,9,12,11],
17655  [16,17,13,10,11],
17656  [12,16,11],
17657  [19,17,16],
17658  [15,18,19,16,12],
17659  [9,15,12],
17660  [14,18,15],
17661  [5,8,14,15,9],
17662  [4,5,9],
17663  [3,8,5],
17664  [1,0,3,5,4],
17665  [6,1,4],
17666  [2,0,1],
17667  [10,7,2,1,6],
17668  [11,10,6],
17669  [13,7,10]
17670  ],
17671  [
17672  [0,1],
17673  [0,2],
17674  [0,3],
17675  [1,2],
17676  [1,4],
17677  [1,6],
17678  [2,7],
17679  [3,5],
17680  [3,8],
17681  [4,5],
17682  [4,6],
17683  [4,9],
17684  [5,8],
17685  [5,9],
17686  [6,10],
17687  [6,11],
17688  [7,10],
17689  [7,13],
17690  [8,14],
17691  [9,12],
17692  [9,15],
17693  [10,11],
17694  [10,13],
17695  [11,12],
17696  [11,16],
17697  [12,15],
17698  [12,16],
17699  [13,17],
17700  [14,15],
17701  [14,18],
17702  [15,18],
17703  [16,17],
17704  [16,19],
17705  [17,19],
17706  [18,19]
17707  ]
17708  ],
17709  [
17710  "johnson_snub_disphenoid",
17711  "Snub Disphenoid",
17712  "J84",
17713  "johnson",
17714  "Polyhedron Database #128",
17715  [
17716  [ 0.00000000000, -0.84283351224, -0.53775339178],
17717  [ 0.69326703905, -0.22094137669, 0.00026677772],
17718  [-0.00000000000, -0.84310218220, 0.53775339178],
17719  [ 0.00028497351, 0.22102981081, -0.69305025916],
17720  [-0.00014605391, 0.22110974715, 0.69321339349],
17721  [ 0.53754860652, 0.84323276157, 0.00007378079],
17722  [-0.69299662942, -0.22119808183, -0.00002037069],
17723  [-0.53795793575, 0.84270283344, -0.00048332214]
17724  ],
17725  [
17726  [0.99977349421, -89.99999999999, 122.53911291991],
17727  [0.72762239557, -17.67686815088, 89.97899289847],
17728  [1.00000000000, -89.99999999999, 57.46916694571],
17729  [0.72744272641, 89.92612865103, 162.31129699367],
17730  [0.72762239557, 90.03784668607, 17.69078660021],
17731  [1.00000000000, 57.48308262375, 89.99577267229],
17732  [0.72744272641, -162.29740035216, 90.00160446282],
17733  [0.99977349421, 122.55302315979, 90.02769859374]
17734  ],
17735  [
17736  [3,7,6],
17737  [5,7,3],
17738  [1,5,3],
17739  [6,7,4],
17740  [5,4,7],
17741  [1,4,5],
17742  [1,2,4],
17743  [0,2,1],
17744  [3,0,1],
17745  [4,2,6],
17746  [0,6,2],
17747  [3,6,0]
17748  ],
17749  [
17750  [0,1],
17751  [0,2],
17752  [0,3],
17753  [0,6],
17754  [1,2],
17755  [1,3],
17756  [1,4],
17757  [1,5],
17758  [2,4],
17759  [2,6],
17760  [3,5],
17761  [3,6],
17762  [3,7],
17763  [4,5],
17764  [4,6],
17765  [4,7],
17766  [5,7],
17767  [6,7]
17768  ]
17769  ],
17770  [
17771  "johnson_snub_square_antiprism",
17772  "Snub Square Antiprism",
17773  "J85",
17774  "johnson",
17775  "Polyhedron Database #129",
17776  [
17777  [ 0.69897419247, -0.15122858467, -0.69897424376],
17778  [ 0.00000000000, 0.15122995753, -0.98849860898],
17779  [ 0.40739112242, 0.55150159459, -0.40739099521],
17780  [ 0.98849856935, 0.15122947501, -0.00000010945],
17781  [ 0.00000025688, -0.55150079443, -0.57613872651],
17782  [-0.40739178266, 0.55150112587, -0.40739076769],
17783  [ 0.57613858381, -0.55150079443, -0.00000001868],
17784  [-0.69897384132, -0.15122890635, -0.69897436488],
17785  [ 0.40739134994, 0.55150046300, 0.40739190987],
17786  [ 0.69897407135, -0.15122936127, 0.69897379003],
17787  [-0.40739155514, 0.55149999428, 0.40739213739],
17788  [-0.57613845095, -0.55150079443, -0.00000039958],
17789  [-0.98849849952, 0.15122879262, -0.00000003963],
17790  [-0.00000012402, -0.55150079443, 0.57613830825],
17791  [ 0.00000006983, 0.15122831010, 0.98849845990],
17792  [-0.69897396243, -0.15122968295, 0.69897366891]
17793  ],
17794  [
17795  [1.00000000000, -12.20822353109, 134.34476525818],
17796  [1.00000000000, 89.99999999999, 171.30178888258],
17797  [0.79755185314, 53.54692658375, 120.71725810997],
17798  [0.99999988786, 8.69818413241, 90.00000627123],
17799  [0.79755185314, -89.99997331269, 136.25166325658],
17800  [0.79755175005, 126.45314106607, 120.71724349746],
17801  [0.79755175005, -43.74834383206, 90.00000134168],
17802  [0.99999988786, -167.79174533025, 134.34478124187],
17803  [0.79755165408, 53.54685510687, 59.28265696064],
17804  [0.99999971564, -12.20828639554, 45.65525516955],
17805  [0.79755155100, 126.45318195780, 59.28263354814],
17806  [0.79755165408, -136.25164956798, 90.00002870530],
17807  [0.99999971564, 171.30185391070, 90.00000227042],
17808  [0.79755155100, -90.00001288452, 43.74835752067],
17809  [0.99999960350, 89.99997354423, 8.69811910429],
17810  [0.99999960350, -167.79168656983, 45.65525859340]
17811  ],
17812  [
17813  [6,4,11,13],
17814  [14,9,13],
17815  [6,13,9],
17816  [3,6,9],
17817  [12,15,11],
17818  [13,11,15],
17819  [14,13,15],
17820  [1,7,4],
17821  [11,4,7],
17822  [12,11,7],
17823  [3,0,6],
17824  [4,6,0],
17825  [1,4,0],
17826  [8,10,5,2],
17827  [0,3,2],
17828  [8,2,3],
17829  [9,8,3],
17830  [7,1,5],
17831  [2,5,1],
17832  [0,2,1],
17833  [15,12,10],
17834  [5,10,12],
17835  [7,5,12],
17836  [9,14,8],
17837  [10,8,14],
17838  [15,10,14]
17839  ],
17840  [
17841  [0,1],
17842  [0,2],
17843  [0,3],
17844  [0,4],
17845  [0,6],
17846  [1,2],
17847  [1,4],
17848  [1,5],
17849  [1,7],
17850  [2,3],
17851  [2,5],
17852  [2,8],
17853  [3,6],
17854  [3,8],
17855  [3,9],
17856  [4,6],
17857  [4,7],
17858  [4,11],
17859  [5,7],
17860  [5,10],
17861  [5,12],
17862  [6,9],
17863  [6,13],
17864  [7,11],
17865  [7,12],
17866  [8,9],
17867  [8,10],
17868  [8,14],
17869  [9,13],
17870  [9,14],
17871  [10,12],
17872  [10,14],
17873  [10,15],
17874  [11,12],
17875  [11,13],
17876  [11,15],
17877  [12,15],
17878  [13,14],
17879  [13,15],
17880  [14,15]
17881  ]
17882  ],
17883  [
17884  "johnson_sphenocorona",
17885  "Sphenocorona",
17886  "J86",
17887  "johnson",
17888  "Polyhedron Database #130",
17889  [
17890  [-0.85403606889, -0.14090095692, -0.50076872245],
17891  [-0.85403606889, -0.14090095692, 0.50076872245],
17892  [-0.50076681316, 0.65125231843, 0.00000029828],
17893  [-0.00000018523, 0.29461011438, -0.79064155301],
17894  [-0.00000000000, -0.66406067604, -0.50076783510],
17895  [ 0.00000000000, -0.66406067604, 0.50076783510],
17896  [-0.00000007600, 0.29461011438, 0.79064155301],
17897  [ 0.50076740481, 0.65125209317, -0.00000029828],
17898  [ 0.85403590368, -0.14090068722, -0.50076783510],
17899  [ 0.85403590368, -0.14090068722, 0.50076783510]
17900  ],
17901  [
17902  [1.00000000000, -170.63159419601, 120.05087131307],
17903  [1.00000000000, -170.63159419601, 59.94912868691],
17904  [0.82152113997, 127.55772895056, 89.99997919682],
17905  [0.84374710954, 90.00003602392, 159.56352007927],
17906  [0.83171209329, -89.99999999999, 127.01992849259],
17907  [0.83171209329, -89.99999999999, 52.98007150740],
17908  [0.84374710954, 90.00001478077, 20.43647992072],
17909  [0.82152132205, 52.44222876176, 90.00002080316],
17910  [0.99999937655, -9.36838996980, 120.05083324218],
17911  [0.99999937655, -9.36838996980, 59.94916675783]
17912  ],
17913  [
17914  [5,4,0,1],
17915  [9,8,4,5],
17916  [2,3,7],
17917  [6,1,2],
17918  [0,3,2],
17919  [1,0,2],
17920  [6,5,1],
17921  [9,5,6],
17922  [0,4,3],
17923  [8,3,4],
17924  [6,7,9],
17925  [7,8,9],
17926  [3,8,7],
17927  [2,7,6]
17928  ],
17929  [
17930  [0,1],
17931  [0,2],
17932  [0,3],
17933  [0,4],
17934  [1,2],
17935  [1,5],
17936  [1,6],
17937  [2,3],
17938  [2,6],
17939  [2,7],
17940  [3,4],
17941  [3,7],
17942  [3,8],
17943  [4,5],
17944  [4,8],
17945  [5,6],
17946  [5,9],
17947  [6,7],
17948  [6,9],
17949  [7,8],
17950  [7,9],
17951  [8,9]
17952  ]
17953  ],
17954  [
17955  "johnson_sphenomegacorona",
17956  "Sphenomegacorona",
17957  "J88",
17958  "johnson",
17959  "Polyhedron Database #132",
17960  [
17961  [-0.38062673459, -0.07568233029, -0.45266707378],
17962  [-0.65067556375, 0.47356515451, -0.00000000115],
17963  [ 0.00000002502, 0.57963465654, -0.38062644927],
17964  [-0.97676588021, -0.21430915812, -0.00000007292],
17965  [ 0.38062679410, -0.07568233029, -0.45266702374],
17966  [-0.38062676435, -0.68772767221, -0.00000005004],
17967  [-0.00000002502, 0.58003807863, 0.38062644927],
17968  [-0.38062679410, -0.07568236147, 0.45266701586],
17969  [ 0.65067556375, 0.47356515451, 0.00000008439],
17970  [ 0.38062676435, -0.68772767221, 0.00000000000],
17971  [ 0.38062673459, -0.07568236147, 0.45266706590],
17972  [ 0.97676588021, -0.21430915812, 0.00000005549]
17973  ],
17974  [
17975  [0.59624827538, -168.75420429327, 139.39304068534],
17976  [0.80476247727, 143.95267199098, 90.00000008217],
17977  [0.69343552617, 89.99999752684, 123.29155031251],
17978  [1.00000000000, -167.62499970338, 90.00000417805],
17979  [0.59624827538, -11.24579399326, 139.39303329753],
17980  [0.78603185995, -118.96258267297, 90.00000364750],
17981  [0.69377277732, 90.00000247142, 56.72673733898],
17982  [0.59624827335, -168.75420149171, 40.60696763902],
17983  [0.80476247727, 36.04732800900, 89.99999399195],
17984  [0.78603185995, -61.03741732702, 89.99999999999],
17985  [0.59624827335, -11.24580022175, 40.60696025120],
17986  [1.00000000000, -12.37500029661, 89.99999682062]
17987  ],
17988  [
17989  [10,9,5,7],
17990  [10,7,6],
17991  [1,7,3],
17992  [7,5,3],
17993  [8,11,10],
17994  [11,9,10],
17995  [6,7,1],
17996  [8,10,6],
17997  [0,5,9,4],
17998  [0,4,2],
17999  [8,4,11],
18000  [4,9,11],
18001  [1,3,0],
18002  [3,5,0],
18003  [6,2,8],
18004  [2,4,8],
18005  [6,1,2],
18006  [1,0,2]
18007  ],
18008  [
18009  [0,1],
18010  [0,2],
18011  [0,3],
18012  [0,4],
18013  [0,5],
18014  [1,2],
18015  [1,3],
18016  [1,6],
18017  [1,7],
18018  [2,4],
18019  [2,6],
18020  [2,8],
18021  [3,5],
18022  [3,7],
18023  [4,8],
18024  [4,9],
18025  [4,11],
18026  [5,7],
18027  [5,9],
18028  [6,7],
18029  [6,8],
18030  [6,10],
18031  [7,10],
18032  [8,10],
18033  [8,11],
18034  [9,10],
18035  [9,11],
18036  [10,11]
18037  ]
18038  ],
18039  [
18040  "johnson_square_cupola",
18041  "Square Cupola",
18042  "J4",
18043  "johnson",
18044  "Polyhedron Database #48",
18045  [
18046  [-0.90920355930, -0.17753303803, -0.37660444522],
18047  [-0.90920355930, -0.17753303803, 0.37660444522],
18048  [-0.37660444522, 0.35506607605, -0.37660444522],
18049  [-0.37660444522, 0.35506607605, 0.37660444522],
18050  [-0.37660444522, -0.17753303803, -0.90920355930],
18051  [-0.37660444522, -0.17753303803, 0.90920355930],
18052  [ 0.37660444522, 0.35506607605, -0.37660444522],
18053  [ 0.37660444522, 0.35506607605, 0.37660444522],
18054  [ 0.37660444522, -0.17753303803, -0.90920355930],
18055  [ 0.37660444522, -0.17753303803, 0.90920355930],
18056  [ 0.90920355930, -0.17753303803, -0.37660444522],
18057  [ 0.90920355930, -0.17753303803, 0.37660444522]
18058  ],
18059  [
18060  [1.00000000000, -168.95132206550, 112.12351211134],
18061  [1.00000000000, -168.95132206551, 67.87648788864],
18062  [0.64010447170, 136.68614334171, 126.03989343030],
18063  [0.64010447170, 136.68614334171, 53.96010656970],
18064  [1.00000000000, -154.76059817930, 155.39552032235],
18065  [1.00000000000, -154.76059817931, 24.60447967764],
18066  [0.64010447170, 43.31385665828, 126.03989343029],
18067  [0.64010447170, 43.31385665828, 53.96010656970],
18068  [1.00000000000, -25.23940182068, 155.39552032235],
18069  [1.00000000000, -25.23940182066, 24.60447967763],
18070  [1.00000000000, -11.04867793448, 112.12351211135],
18071  [1.00000000000, -11.04867793448, 67.87648788864]
18072  ],
18073  [
18074  [0,1,5,9,11,10,8,4],
18075  [6,7,3,2],
18076  [1,0,2,3],
18077  [5,1,3],
18078  [9,5,3,7],
18079  [11,9,7],
18080  [10,11,7,6],
18081  [8,10,6],
18082  [4,8,6,2],
18083  [0,4,2]
18084  ],
18085  [
18086  [0,1],
18087  [0,2],
18088  [0,4],
18089  [1,3],
18090  [1,5],
18091  [2,3],
18092  [2,4],
18093  [2,6],
18094  [3,5],
18095  [3,7],
18096  [4,8],
18097  [5,9],
18098  [6,7],
18099  [6,8],
18100  [6,10],
18101  [7,9],
18102  [7,11],
18103  [8,10],
18104  [9,11],
18105  [10,11]
18106  ]
18107  ],
18108  [
18109  "johnson_square_gyrobicupola",
18110  "Square Gyrobicupola",
18111  "J29",
18112  "johnson",
18113  "Polyhedron Database #73",
18114  [
18115  [ 0.38268343237, 0.00000000000, 0.92387953251],
18116  [-0.38268343237, -0.00000000000, 0.92387953251],
18117  [ 0.92387953251, 0.00000000000, 0.38268343237],
18118  [ 0.38268343237, 0.54119610015, 0.38268343237],
18119  [ 0.00000000000, -0.54119610015, 0.54119610015],
18120  [-0.38268343237, 0.54119610015, 0.38268343237],
18121  [-0.92387953251, -0.00000000000, 0.38268343237],
18122  [ 0.54119610015, -0.54119610015, -0.00000000000],
18123  [ 0.92387953251, 0.00000000000, -0.38268343237],
18124  [ 0.38268343237, 0.54119610015, -0.38268343237],
18125  [-0.54119610015, -0.54119610015, 0.00000000000],
18126  [-0.38268343237, 0.54119610015, -0.38268343237],
18127  [ 0.00000000000, -0.54119610015, -0.54119610015],
18128  [-0.92387953251, -0.00000000000, -0.38268343237],
18129  [ 0.38268343237, 0.00000000000, -0.92387953251],
18130  [-0.38268343237, 0.00000000000, -0.92387953251]
18131  ],
18132  [
18133  [1.00000000000, 0.00000000000, 22.50000000000],
18134  [1.00000000000, -179.99999999997, 22.49999999999],
18135  [1.00000000000, 0.00000000001, 67.50000000000],
18136  [0.76536686473, 54.73561031725, 60.00000000000],
18137  [0.76536686473, -89.99999999998, 45.00000000000],
18138  [0.76536686473, 125.26438968275, 60.00000000000],
18139  [1.00000000000, -179.99999999998, 67.49999999999],
18140  [0.76536686473, -44.99999999999, 89.99999999999],
18141  [1.00000000000, 0.00000000001, 112.50000000000],
18142  [0.76536686473, 54.73561031725, 119.99999999999],
18143  [0.76536686473, -134.99999999999, 89.99999999999],
18144  [0.76536686473, 125.26438968275, 119.99999999999],
18145  [0.76536686473, -89.99999999999, 135.00000000000],
18146  [1.00000000000, -179.99999999998, 112.49999999999],
18147  [1.00000000000, 0.00000000001, 157.50000000000],
18148  [1.00000000000, 179.99999999999, 157.49999999999]
18149  ],
18150  [
18151  [12,10,4,7],
18152  [0,2,7,4],
18153  [1,0,4],
18154  [6,1,4,10],
18155  [13,6,10],
18156  [15,13,10,12],
18157  [14,15,12],
18158  [8,14,12,7],
18159  [2,8,7],
18160  [11,9,3,5],
18161  [0,1,5,3],
18162  [2,0,3],
18163  [8,2,3,9],
18164  [14,8,9],
18165  [15,14,9,11],
18166  [13,15,11],
18167  [6,13,11,5],
18168  [1,6,5]
18169  ],
18170  [
18171  [0,1],
18172  [0,2],
18173  [0,3],
18174  [0,4],
18175  [1,4],
18176  [1,5],
18177  [1,6],
18178  [2,3],
18179  [2,7],
18180  [2,8],
18181  [3,5],
18182  [3,9],
18183  [4,7],
18184  [4,10],
18185  [5,6],
18186  [5,11],
18187  [6,10],
18188  [6,13],
18189  [7,8],
18190  [7,12],
18191  [8,9],
18192  [8,14],
18193  [9,11],
18194  [9,14],
18195  [10,12],
18196  [10,13],
18197  [11,13],
18198  [11,15],
18199  [12,14],
18200  [12,15],
18201  [13,15],
18202  [14,15]
18203  ]
18204  ],
18205  [
18206  "johnson_square_orthobicupola",
18207  "square orthobicupola",
18208  "J28",
18209  "johnson",
18210  "Polyhedron Database #72",
18211  [
18212  [ 0.38268343237, 0.00000000000, -0.92387953251],
18213  [-0.38268343237, 0.00000000000, -0.92387953251],
18214  [ 0.92387953251, -0.00000000000, -0.38268343237],
18215  [ 0.38268343237, -0.54119610015, -0.38268343237],
18216  [ 0.38268343237, 0.54119610015, -0.38268343237],
18217  [-0.38268343237, -0.54119610015, -0.38268343237],
18218  [-0.38268343237, 0.54119610015, -0.38268343237],
18219  [-0.92387953251, 0.00000000000, -0.38268343237],
18220  [ 0.92387953251, 0.00000000000, 0.38268343237],
18221  [ 0.38268343237, -0.54119610015, 0.38268343237],
18222  [ 0.38268343237, 0.54119610015, 0.38268343237],
18223  [-0.38268343237, -0.54119610015, 0.38268343237],
18224  [-0.38268343237, 0.54119610015, 0.38268343237],
18225  [-0.92387953251, 0.00000000000, 0.38268343237],
18226  [ 0.38268343237, 0.00000000000, 0.92387953251],
18227  [-0.38268343237, 0.00000000000, 0.92387953251]
18228  ],
18229  [
18230  [1.00000000000, 0.00000000000, 157.49999999999],
18231  [1.00000000000, 179.99999999999, 157.49999999999],
18232  [1.00000000000, -0.00000000001, 112.49999999999],
18233  [0.76536686473, -54.73561031725, 119.99999999999],
18234  [0.76536686473, 54.73561031725, 119.99999999999],
18235  [0.76536686473, -125.26438968274, 119.99999999999],
18236  [0.76536686473, 125.26438968274, 119.99999999999],
18237  [1.00000000000, 179.99999999999, 112.49999999999],
18238  [1.00000000000, 0.00000000000, 67.50000000000],
18239  [0.76536686473, -54.73561031725, 60.00000000000],
18240  [0.76536686473, 54.73561031725, 60.00000000000],
18241  [0.76536686473, -125.26438968274, 59.99999999999],
18242  [0.76536686473, 125.26438968274, 59.99999999999],
18243  [1.00000000000, 179.99999999998, 67.50000000000],
18244  [1.00000000000, 0.00000000000, 22.50000000000],
18245  [1.00000000000, 179.99999999999, 22.50000000000]
18246  ],
18247  [
18248  [11,9,3,5],
18249  [0,1,5,3],
18250  [2,0,3],
18251  [8,2,3,9],
18252  [14,8,9],
18253  [15,14,9,11],
18254  [13,15,11],
18255  [7,13,11,5],
18256  [1,7,5],
18257  [10,12,6,4],
18258  [1,0,4,6],
18259  [7,1,6],
18260  [13,7,6,12],
18261  [15,13,12],
18262  [14,15,12,10],
18263  [8,14,10],
18264  [2,8,10,4],
18265  [0,2,4]
18266  ],
18267  [
18268  [0,1],
18269  [0,2],
18270  [0,3],
18271  [0,4],
18272  [1,5],
18273  [1,6],
18274  [1,7],
18275  [2,3],
18276  [2,4],
18277  [2,8],
18278  [3,5],
18279  [3,9],
18280  [4,6],
18281  [4,10],
18282  [5,7],
18283  [5,11],
18284  [6,7],
18285  [6,12],
18286  [7,13],
18287  [8,9],
18288  [8,10],
18289  [8,14],
18290  [9,11],
18291  [9,14],
18292  [10,12],
18293  [10,14],
18294  [11,13],
18295  [11,15],
18296  [12,13],
18297  [12,15],
18298  [13,15],
18299  [14,15]
18300  ]
18301  ],
18302  [
18303  "johnson_square_pyramid",
18304  "Square Pyramid",
18305  "J1",
18306  "johnson",
18307  "Exact Mathematics",
18308  [
18309  [ 0.00000000000, 1.00000000000, 0.00000000000],
18310  [-1.00000000000, 0.00000000000, 0.00000000000],
18311  [ 0.00000000000, 0.00000000000, -1.00000000000],
18312  [ 1.00000000000, 0.00000000000, 0.00000000000],
18313  [ 0.00000000000, 0.00000000000, 1.00000000000]
18314  ],
18315  [
18316  [1.00000000000, 89.99999999999, 89.99999999999],
18317  [1.00000000000, 179.99999999999, 89.99999999999],
18318  [1.00000000000, 0.00000000000, 179.99999999999],
18319  [1.00000000000, 0.00000000000, 89.99999999999],
18320  [1.00000000000, 0.00000000000, 0.00000000000]
18321  ],
18322  [
18323  [0,1,2],
18324  [0,2,3],
18325  [0,3,4],
18326  [0,4,1],
18327  [4,3,2,1]
18328  ],
18329  [
18330  [0,1],
18331  [0,2],
18332  [0,3],
18333  [0,4],
18334  [1,2],
18335  [1,4],
18336  [2,3],
18337  [3,4]
18338  ]
18339  ],
18340  [
18341  "johnson_triangular_cupola",
18342  "Triangular Cupola",
18343  "J3",
18344  "johnson",
18345  "Polyhedron Database #47",
18346  [
18347  [ 0.48245064068, -0.26261286572, 0.83562902180],
18348  [ 0.96490128135, -0.26261286572, 0.00000000000],
18349  [ 0.48245064068, 0.52522573144, 0.27854300727],
18350  [-0.48245064068, -0.26261286572, 0.83562902180],
18351  [-0.48245064068, 0.52522573144, 0.27854300727],
18352  [ 0.48245064068, -0.26261286572, -0.83562902180],
18353  [ 0.00000000000, 0.52522573144, -0.55708601453],
18354  [-0.96490128135, -0.26261286572, -0.00000000000],
18355  [-0.48245064068, -0.26261286572, -0.83562902180]
18356  ],
18357  [
18358  [1.00000000000, -28.56082521782, 33.31860684000],
18359  [1.00000000000, -15.22515701068, 89.99999999999],
18360  [0.76564149349, 47.43070269790, 68.66603725294],
18361  [1.00000000000, -151.43917478219, 33.31860684000],
18362  [0.76564149349, 132.56929730209, 68.66603725295],
18363  [1.00000000000, -28.56082521781, 146.68139315999],
18364  [0.76564149349, 89.99999999999, 136.68614334171],
18365  [1.00000000000, -164.77484298931, 90.00000000000],
18366  [1.00000000000, -151.43917478217, 146.68139315999]
18367  ],
18368  [
18369  [1,5,8,7,3,0],
18370  [4,6,2],
18371  [5,1,2,6],
18372  [8,5,6],
18373  [7,8,6,4],
18374  [3,7,4],
18375  [0,3,4,2],
18376  [1,0,2]
18377  ],
18378  [
18379  [0,1],
18380  [0,2],
18381  [0,3],
18382  [1,2],
18383  [1,5],
18384  [2,4],
18385  [2,6],
18386  [3,4],
18387  [3,7],
18388  [4,6],
18389  [4,7],
18390  [5,6],
18391  [5,8],
18392  [6,8],
18393  [7,8]
18394  ]
18395  ],
18396  [
18397  "johnson_triangular_dipyramid",
18398  "Triangular Dipyramid",
18399  "J12",
18400  "johnson",
18401  "Exact Mathematics",
18402  [
18403  [ 0.00000000000, 1.00000000000, 0.00000000000],
18404  [-0.61237243570, 0.00000000000, 0.35355339059],
18405  [ 0.61237243570, 0.00000000000, 0.35355339059],
18406  [ 0.00000000000, 0.00000000000, -0.70710678119],
18407  [ 0.00000000000, -1.00000000000, 0.00000000000]
18408  ],
18409  [
18410  [1.00000000000, 89.99999999999, 89.99999999999],
18411  [0.70710678119, 179.99999999999, 59.99999999999],
18412  [0.70710678119, 0.00000000000, 59.99999999999],
18413  [0.70710678119, 0.00000000000, 179.99999999999],
18414  [1.00000000000, -89.99999999999, 89.99999999999]
18415  ],
18416  [
18417  [0,2,1],
18418  [0,1,3],
18419  [0,3,2],
18420  [4,1,2],
18421  [4,3,1],
18422  [4,2,3]
18423  ],
18424  [
18425  [0,1],
18426  [0,2],
18427  [0,3],
18428  [1,2],
18429  [1,3],
18430  [1,4],
18431  [2,3],
18432  [2,4],
18433  [3,4]
18434  ]
18435  ],
18436  [
18437  "johnson_triangular_hebesphenorotunda",
18438  "Triangular Hebesphenorotunda",
18439  "J92",
18440  "johnson",
18441  "Polyhedron Database #136",
18442  [
18443  [-0.33030426902, -0.43569508663, 0.57210377877],
18444  [-0.66060857153, -0.43569508663, 0.00000000055],
18445  [ 0.33030428777, -0.43569508663, 0.57210375093],
18446  [-0.86474803514, -0.05429283479, 0.49926252367],
18447  [-0.33030431724, -0.43569508663, -0.57210380551],
18448  [ 0.66060854206, -0.43569508663, -0.00000005513],
18449  [ 0.33030423955, -0.43569508663, -0.57210383335],
18450  [-0.33030449832, 0.18142681974, 0.80782441422],
18451  [ 0.86474804776, -0.05429283479, 0.49926245077],
18452  [ 0.33030436734, 0.18142672510, 0.80782416491],
18453  [-0.86474847801, 0.18142672510, -0.11786013753],
18454  [-0.00000005682, -0.05429283479, -0.99852505632],
18455  [-0.53444426109, 0.18142681974, -0.68996432181],
18456  [ 0.86474871520, 0.18142681974, -0.11786017428],
18457  [ 0.00000000000, 0.56282961963, 0.38140339437],
18458  [ 0.53444406646, 0.18142672510, -0.68996410925],
18459  [-0.33030479992, 0.56282956114, -0.19070155631],
18460  [ 0.33030502095, 0.56282920888, -0.19070142869]
18461  ],
18462  [
18463  [0.79134938702, -127.16608531772, 43.70165880957],
18464  [0.79134941290, -146.59371423888, 89.99999995994],
18465  [0.79134937471, -52.83391311595, 43.70166079553],
18466  [0.99999997187, -176.40742461325, 60.04877813013],
18467  [0.79134942648, -127.16608934514, 136.29834100287],
18468  [0.79134938829, -33.40628693591, 90.00000399191],
18469  [0.79134941417, -52.83391714338, 136.29834485270],
18470  [0.89140172579, 151.22126582657, 25.00911035272],
18471  [0.99999994638, -3.59257533445, 60.04878210920],
18472  [0.89140143206, 28.77873114833, 25.00910778612],
18473  [0.89140148015, 168.15103816748, 97.59783386698],
18474  [1.00000000000, -90.00005996535, 176.88771941200],
18475  [0.89140177502, 161.24928487827, 140.71642098684],
18476  [0.89140173437, 11.84896468079, 97.59783407018],
18477  [0.67988655669, 89.99999999999, 55.87633708196],
18478  [0.89140147454, 18.75071237490, 140.71642301870],
18479  [0.67988635765, 120.40716806194, 106.28947196340],
18480  [0.67988613763, 59.59279954772, 106.28946617754]
18481  ],
18482  [
18483  [15,17,16,12,11],
18484  [4,11,12],
18485  [4,6,11],
18486  [15,11,6],
18487  [5,13,15,6],
18488  [17,15,13],
18489  [9,14,17,13,8],
18490  [8,13,5],
18491  [8,5,2],
18492  [9,8,2],
18493  [14,9,7],
18494  [0,7,9,2],
18495  [17,14,16],
18496  [14,7,3,10,16],
18497  [7,0,3],
18498  [0,1,3],
18499  [10,3,1],
18500  [10,1,4,12],
18501  [16,10,12],
18502  [0,2,5,6,4,1]
18503  ],
18504  [
18505  [0,1],
18506  [0,2],
18507  [0,3],
18508  [0,7],
18509  [1,3],
18510  [1,4],
18511  [1,10],
18512  [2,5],
18513  [2,8],
18514  [2,9],
18515  [3,7],
18516  [3,10],
18517  [4,6],
18518  [4,11],
18519  [4,12],
18520  [5,6],
18521  [5,8],
18522  [5,13],
18523  [6,11],
18524  [6,15],
18525  [7,9],
18526  [7,14],
18527  [8,9],
18528  [8,13],
18529  [9,14],
18530  [10,12],
18531  [10,16],
18532  [11,12],
18533  [11,15],
18534  [12,16],
18535  [13,15],
18536  [13,17],
18537  [14,16],
18538  [14,17],
18539  [15,17],
18540  [16,17]
18541  ]
18542  ],
18543  [
18544  "johnson_triangular_orthobicupola",
18545  "Triangular Orthobicupola",
18546  "J27",
18547  "johnson",
18548  "Polyhedron Database #71",
18549  [
18550  [-0.50000000000, -0.00000000000, -0.86602540378],
18551  [ 0.50000000000, 0.00000000000, -0.86602540378],
18552  [ 0.00000000000, 0.81649658093, -0.57735026919],
18553  [ 0.00000000000, -0.81649658093, -0.57735026919],
18554  [-1.00000000000, -0.00000000000, -0.00000000000],
18555  [-0.50000000000, 0.81649658093, 0.28867513459],
18556  [-0.50000000000, -0.81649658093, 0.28867513459],
18557  [ 1.00000000000, 0.00000000000, 0.00000000000],
18558  [ 0.50000000000, 0.81649658093, 0.28867513459],
18559  [ 0.50000000000, -0.81649658093, 0.28867513459],
18560  [-0.50000000000, 0.00000000000, 0.86602540378],
18561  [ 0.50000000000, 0.00000000000, 0.86602540378]
18562  ],
18563  [
18564  [1.00000000000, -179.99999999998, 150.00000000000],
18565  [1.00000000000, 0.00000000000, 149.99999999998],
18566  [1.00000000000, 89.99999999999, 125.26438968275],
18567  [1.00000000000, -89.99999999999, 125.26438968275],
18568  [1.00000000000, -179.99999999998, 89.99999999999],
18569  [1.00000000000, 121.48215410529, 73.22134511904],
18570  [1.00000000000, -121.48215410529, 73.22134511904],
18571  [1.00000000000, 0.00000000001, 89.99999999999],
18572  [1.00000000000, 58.51784589470, 73.22134511903],
18573  [1.00000000000, -58.51784589470, 73.22134511903],
18574  [1.00000000000, 179.99999999999, 30.00000000000],
18575  [1.00000000000, 0.00000000001, 29.99999999999]
18576  ],
18577  [
18578  [8,5,2],
18579  [4,0,2,5],
18580  [10,4,5],
18581  [11,10,5,8],
18582  [7,11,8],
18583  [1,7,8,2],
18584  [0,1,2],
18585  [9,3,6],
18586  [0,4,6,3],
18587  [1,0,3],
18588  [7,1,3,9],
18589  [11,7,9],
18590  [10,11,9,6],
18591  [4,10,6]
18592  ],
18593  [
18594  [0,1],
18595  [0,2],
18596  [0,3],
18597  [0,4],
18598  [1,2],
18599  [1,3],
18600  [1,7],
18601  [2,5],
18602  [2,8],
18603  [3,6],
18604  [3,9],
18605  [4,5],
18606  [4,6],
18607  [4,10],
18608  [5,8],
18609  [5,10],
18610  [6,9],
18611  [6,10],
18612  [7,8],
18613  [7,9],
18614  [7,11],
18615  [8,11],
18616  [9,11],
18617  [10,11]
18618  ]
18619  ],
18620  [
18621  "johnson_triaugmented_dodecahedron",
18622  "Triaugmented Dodecahedron",
18623  "J61",
18624  "johnson",
18625  "Polyhedron Database #105",
18626  [
18627  [ 0.30633525313, 0.66269059455, -0.43655239923],
18628  [-0.30633525313, 0.66269059455, -0.43655239923],
18629  [ 0.49566085152, 0.66269059455, 0.14613187809],
18630  [-0.49566085152, 0.66269059455, 0.14613187809],
18631  [ 0.85432441306, 0.42961688362, -0.29250492399],
18632  [ 0.00000000000, 0.66269059455, 0.50625056619],
18633  [-0.85432441306, 0.42961688362, -0.29250492399],
18634  [ 0.49566085152, 0.14152193315, -0.69713672994],
18635  [-0.49566085152, 0.14152193315, -0.69713672994],
18636  [ 0.80199610465, 0.14152193315, 0.24566623548],
18637  [ 0.00000000000, -0.18057801347, -0.85818670325],
18638  [-0.80199610465, 0.14152193315, 0.24566623548],
18639  [ 0.80199610465, -0.18057801347, -0.27550242592],
18640  [-0.00000000000, 0.14152193315, 0.82835051281],
18641  [-0.80199610465, -0.18057801347, -0.27550242592],
18642  [ 0.49566085152, -0.18057801348, 0.66730053950],
18643  [-0.49566085152, -0.18057801347, 0.66730053950],
18644  [ 0.00000000000, -0.70174667488, -0.53608675663],
18645  [ 0.49566085152, -0.70174667488, -0.17596806853],
18646  [-0.00000000000, -0.46867296395, 0.88337175236],
18647  [-0.49566085152, -0.70174667488, -0.17596806853],
18648  [ 0.30633525313, -0.70174667488, 0.40671620879],
18649  [-0.30633525313, -0.70174667488, 0.40671620879]
18650  ],
18651  [
18652  [0.85063394518, 65.19079478502, 120.87777015729],
18653  [0.85063394518, 114.80920521493, 120.87777015730],
18654  [0.84035291969, 53.20526961347, 79.98572915626],
18655  [0.84035291969, 126.79473038649, 79.98572915627],
18656  [1.00000000000, 26.69659927212, 107.00798183264],
18657  [0.83393552501, 89.99999999999, 52.62263185934],
18658  [1.00000000000, 153.30340072785, 107.00798183267],
18659  [0.86701081742, 15.93519426294, 143.52046229529],
18660  [0.86701081742, 164.06480573703, 143.52046229531],
18661  [0.85063394518, 10.00750928001, 73.21365082505],
18662  [0.87697938207, -89.99999999993, 168.11727938701],
18663  [0.85063394518, 169.99249071996, 73.21365082508],
18664  [0.86701081742, -12.68914757871, 108.52758761823],
18665  [0.84035291969, 90.00000000008, 9.69525438969],
18666  [0.86701081742, -167.31085242129, 108.52758761825],
18667  [0.85063394518, -20.01757671622, 38.32790876038],
18668  [0.85063394518, -159.98242328379, 38.32790876041],
18669  [0.88308403130, -89.99999999999, 127.37736814065],
18670  [0.87697938207, -54.76550324456, 101.57511557864],
18671  [1.00000000000, -90.00000000002, 27.94819018462],
18672  [0.87697938207, -125.23449675544, 101.57511557866],
18673  [0.86701081742, -66.41716516327, 62.02400123461],
18674  [0.86701081742, -113.58283483674, 62.02400123463]
18675  ],
18676  [
18677  [22,21,18,17,20],
18678  [12,18,21,15,9],
18679  [16,22,20,14,11],
18680  [14,20,17,10,8],
18681  [10,17,18,12,7],
18682  [7,0,1,8,10],
18683  [11,3,5,13,16],
18684  [13,5,2,9,15],
18685  [5,3,1,0,2],
18686  [1,3,6],
18687  [8,1,6],
18688  [3,11,6],
18689  [11,14,6],
18690  [8,6,14],
18691  [21,22,19],
18692  [15,21,19],
18693  [22,16,19],
18694  [16,13,19],
18695  [15,19,13],
18696  [2,0,4],
18697  [9,2,4],
18698  [0,7,4],
18699  [7,12,4],
18700  [9,4,12]
18701  ],
18702  [
18703  [0,1],
18704  [0,2],
18705  [0,4],
18706  [0,7],
18707  [1,3],
18708  [1,6],
18709  [1,8],
18710  [2,4],
18711  [2,5],
18712  [2,9],
18713  [3,5],
18714  [3,6],
18715  [3,11],
18716  [4,7],
18717  [4,9],
18718  [4,12],
18719  [5,13],
18720  [6,8],
18721  [6,11],
18722  [6,14],
18723  [7,10],
18724  [7,12],
18725  [8,10],
18726  [8,14],
18727  [9,12],
18728  [9,15],
18729  [10,17],
18730  [11,14],
18731  [11,16],
18732  [12,18],
18733  [13,15],
18734  [13,16],
18735  [13,19],
18736  [14,20],
18737  [15,19],
18738  [15,21],
18739  [16,19],
18740  [16,22],
18741  [17,18],
18742  [17,20],
18743  [18,21],
18744  [19,21],
18745  [19,22],
18746  [20,22],
18747  [21,22]
18748  ]
18749  ],
18750  [
18751  "johnson_triaugmented_hexagonal_prism",
18752  "Triaugmented Hexagonal Prism",
18753  "J57",
18754  "johnson",
18755  "Polyhedron Database #101",
18756  [
18757  [ 0.31783724520, -0.31783724520, -0.55051025722],
18758  [ 0.86602540378, 0.00000000000, -0.50000000000],
18759  [-0.31783724520, -0.31783724520, -0.55051025722],
18760  [ 0.31783724520, 0.31783724520, -0.55051025722],
18761  [ 0.63567449039, -0.31783724520, 0.00000000000],
18762  [-0.31783724520, 0.31783724520, -0.55051025722],
18763  [-0.86602540378, 0.00000000000, -0.50000000000],
18764  [ 0.63567449039, 0.31783724520, -0.00000000000],
18765  [-0.63567449039, -0.31783724520, 0.00000000000],
18766  [ 0.31783724520, -0.31783724520, 0.55051025722],
18767  [-0.63567449039, 0.31783724520, -0.00000000000],
18768  [-0.31783724520, -0.31783724520, 0.55051025722],
18769  [ 0.31783724520, 0.31783724520, 0.55051025722],
18770  [-0.31783724520, 0.31783724520, 0.55051025722],
18771  [ 0.00000000000, 0.00000000000, 1.00000000000]
18772  ],
18773  [
18774  [0.71070568604, -44.99999999998, 140.76847951640],
18775  [1.00000000000, 0.00000000001, 119.99999999999],
18776  [0.71070568604, -134.99999999998, 140.76847951640],
18777  [0.71070568604, 45.00000000000, 140.76847951640],
18778  [0.71070568604, -26.56505117707, 89.99999999999],
18779  [0.71070568604, 134.99999999999, 140.76847951640],
18780  [1.00000000000, 179.99999999999, 120.00000000000],
18781  [0.71070568604, 26.56505117708, 89.99999999999],
18782  [0.71070568604, -153.43494882291, 89.99999999999],
18783  [0.71070568604, -45.00000000000, 39.23152048359],
18784  [0.71070568604, 153.43494882292, 90.00000000000],
18785  [0.71070568604, -134.99999999999, 39.23152048359],
18786  [0.71070568604, 45.00000000001, 39.23152048359],
18787  [0.71070568604, 135.00000000001, 39.23152048359],
18788  [1.00000000000, 0.00000000000, 0.00000000000]
18789  ],
18790  [
18791  [2,8,11,9,4,0],
18792  [5,3,7,12,13,10],
18793  [12,7,4,9],
18794  [10,13,11,8],
18795  [3,5,2,0],
18796  [11,14,9],
18797  [14,12,9],
18798  [13,14,11],
18799  [12,14,13],
18800  [2,6,8],
18801  [6,10,8],
18802  [5,6,2],
18803  [10,6,5],
18804  [4,1,0],
18805  [1,3,0],
18806  [7,1,4],
18807  [3,1,7]
18808  ],
18809  [
18810  [0,1],
18811  [0,2],
18812  [0,3],
18813  [0,4],
18814  [1,3],
18815  [1,4],
18816  [1,7],
18817  [2,5],
18818  [2,6],
18819  [2,8],
18820  [3,5],
18821  [3,7],
18822  [4,7],
18823  [4,9],
18824  [5,6],
18825  [5,10],
18826  [6,8],
18827  [6,10],
18828  [7,12],
18829  [8,10],
18830  [8,11],
18831  [9,11],
18832  [9,12],
18833  [9,14],
18834  [10,13],
18835  [11,13],
18836  [11,14],
18837  [12,13],
18838  [12,14],
18839  [13,14]
18840  ]
18841  ],
18842  [
18843  "johnson_triaugmented_triangular_prism",
18844  "Triaugmented Triangular Prism",
18845  "J51",
18846  "johnson",
18847  "Polyhedron Database #95",
18848  [
18849  [-0.00000000000, -0.50211797591, -0.57979589711],
18850  [-0.86602540378, 0.00000000000, -0.50000000000],
18851  [-0.50211797591, -0.50211797591, 0.28989794856],
18852  [ 0.50211797591, -0.50211797591, 0.28989794856],
18853  [ 0.86602540378, 0.00000000000, -0.50000000000],
18854  [-0.00000000000, 0.50211797591, -0.57979589711],
18855  [-0.50211797591, 0.50211797591, 0.28989794856],
18856  [-0.00000000000, 0.00000000000, 1.00000000000],
18857  [ 0.50211797591, 0.50211797591, 0.28989794856]
18858  ],
18859  [
18860  [0.76699787747, -89.99999999999, 139.10660535086],
18861  [1.00000000000, 179.99999999999, 119.99999999999],
18862  [0.76699787747, -134.99999999999, 67.79234570140],
18863  [0.76699787747, -45.00000000000, 67.79234570139],
18864  [1.00000000000, 0.00000000000, 119.99999999999],
18865  [0.76699787747, 89.99999999999, 139.10660535086],
18866  [0.76699787747, 134.99999999999, 67.79234570140],
18867  [1.00000000000, 89.99999999999, 0.00000000001],
18868  [0.76699787747, 45.00000000000, 67.79234570140]
18869  ],
18870  [
18871  [0,5,1],
18872  [5,4,8],
18873  [5,0,4],
18874  [0,3,4],
18875  [4,3,8],
18876  [8,6,5],
18877  [7,6,8],
18878  [3,7,8],
18879  [2,7,3],
18880  [2,6,7],
18881  [0,2,3],
18882  [1,2,0],
18883  [1,6,2],
18884  [5,6,1]
18885  ],
18886  [
18887  [0,1],
18888  [0,2],
18889  [0,3],
18890  [0,4],
18891  [0,5],
18892  [1,2],
18893  [1,5],
18894  [1,6],
18895  [2,3],
18896  [2,6],
18897  [2,7],
18898  [3,4],
18899  [3,7],
18900  [3,8],
18901  [4,5],
18902  [4,8],
18903  [5,6],
18904  [5,8],
18905  [6,7],
18906  [6,8],
18907  [7,8]
18908  ]
18909  ],
18910  [
18911  "johnson_triaugmented_truncated_dodecahedron",
18912  "Triaugmented Truncated Dodecahedron",
18913  "J71",
18914  "johnson",
18915  "Polyhedron Database #115",
18916  [
18917  [-0.13358612244, 0.73757049153, 0.55581336427],
18918  [-0.38221514374, 0.73757049153, 0.37517380660],
18919  [ 0.17373624906, 0.73757049153, 0.55581336427],
18920  [-0.38221514374, 0.57600155938, 0.63659783035],
18921  [-0.47718297929, 0.73757049153, 0.08289286258],
18922  [-0.65709262922, 0.62065811392, 0.30291798353],
18923  [ 0.42236527036, 0.73757049153, 0.37517380660],
18924  [-0.65709262922, 0.45908918177, 0.56434200728],
18925  [ 0.42236527036, 0.57600155938, 0.63659783035],
18926  [-0.38221514374, 0.73757049153, -0.20938808145],
18927  [-0.47718297929, 0.31457753563, 0.76730984222],
18928  [ 0.51733310591, 0.73757049153, 0.08289286258],
18929  [-0.63084416504, 0.57600155938, -0.12860361537],
18930  [-0.81075381497, 0.45908918177, 0.09142150559],
18931  [-0.13358612244, 0.73757049153, -0.39002763912],
18932  [ 0.42236527036, 0.73757049153, -0.20938808145],
18933  [ 0.17373624906, 0.73757049153, -0.39002763912],
18934  [ 0.51733310591, 0.31457753563, 0.76730984222],
18935  [-0.81075381497, 0.19766515802, 0.51441446148],
18936  [-0.38221514374, 0.05315351188, 0.89802185410],
18937  [-0.63084416504, 0.05315351188, 0.71738229643],
18938  [-0.90572165052, 0.19766515802, 0.22213351746],
18939  [ 0.67099429167, 0.57600155938, -0.12860361537],
18940  [-0.78450535080, 0.31457753563, -0.17853116117],
18941  [ 0.43858771338, 0.62065811392, -0.49314038246],
18942  [ 0.42236527036, 0.05315351188, 0.89802185410],
18943  [ 0.02007506331, 0.57600155938, -0.60152411707],
18944  [-0.13358612244, -0.10841542027, 0.97880632017],
18945  [ 0.17373624906, -0.10841542027, 0.97880632017],
18946  [ 0.67099429166, 0.05315351188, 0.71738229643],
18947  [-0.78450535080, -0.10841542027, 0.50588581848],
18948  [ 0.68721673468, 0.45908918177, -0.41235591639],
18949  [-0.87947318634, 0.05315351188, -0.04781914930],
18950  [ 0.28492652763, 0.45908918177, -0.70463686041],
18951  [ 0.82465547742, 0.31457753563, -0.17853116117],
18952  [-0.87947318634, -0.10841542027, 0.21360487445],
18953  [-0.78450535080, 0.05315351188, -0.34010009332],
18954  [ 0.02007506331, -0.36983944401, 0.92887877437],
18955  [ 0.02007506331, 0.31457753563, -0.76309304922],
18956  [ 0.82465547742, -0.10841542027, 0.50588581848],
18957  [ 0.91962331297, 0.05315351188, -0.04781914930],
18958  [-0.78450535080, -0.36983944401, 0.34431688633],
18959  [ 0.68721673468, 0.19766515802, -0.57392484854],
18960  [ 0.91962331297, -0.10841542027, 0.21360487445],
18961  [ 0.43858771338, 0.19766515802, -0.75456440621],
18962  [ 0.82465547742, 0.05315351188, -0.34010009332],
18963  [-0.63084416504, -0.10841542027, -0.55159657127],
18964  [-0.13358612244, 0.05315351188, -0.81302059502],
18965  [ 0.17373624906, 0.05315351188, -0.81302059502],
18966  [ 0.02007506331, -0.63126346776, 0.76730984222],
18967  [-0.38221514374, -0.10841542027, -0.73223612894],
18968  [ 0.82465547742, -0.36983944402, 0.34431688633],
18969  [-0.63084416504, -0.63126346776, 0.29438934053],
18970  [ 0.67099429166, -0.10841542027, -0.55159657127],
18971  [ 0.42236527036, -0.10841542027, -0.73223612894],
18972  [-0.47718297929, -0.36983944402, -0.60152411707],
18973  [-0.13358612244, -0.79283239991, 0.55581336427],
18974  [-0.13358612244, -0.25292706641, -0.84061986354],
18975  [-0.38221514374, -0.79283239991, 0.37517380660],
18976  [ 0.17373624906, -0.79283239991, 0.55581336427],
18977  [ 0.67099429166, -0.63126346776, 0.29438934053],
18978  [ 0.17373624906, -0.25292706641, -0.84061986354],
18979  [-0.47718297929, -0.79283239991, 0.08289286258],
18980  [ 0.51733310591, -0.36983944402, -0.60152411707],
18981  [ 0.42236527036, -0.79283239991, 0.37517380660],
18982  [-0.38221514374, -0.63126346776, -0.47081210519],
18983  [-0.22855395799, -0.51435109015, -0.70990785167],
18984  [-0.38221514374, -0.79283239991, -0.20938808145],
18985  [ 0.51733310591, -0.79283239991, 0.08289286258],
18986  [ 0.26870408461, -0.51435109015, -0.70990785167],
18987  [ 0.42236527036, -0.63126346776, -0.47081210519],
18988  [-0.13358612244, -0.79283239991, -0.39002763912],
18989  [ 0.02007506331, -0.67592002230, -0.62912338559],
18990  [ 0.42236527036, -0.79283239991, -0.20938808145],
18991  [ 0.17373624906, -0.79283239991, -0.39002763912]
18992  ],
18993  [
18994  [0.93315806699, 100.26591999526, 53.44271686870],
18995  [0.91151194794, 117.39356524507, 65.69492714139],
18996  [0.93974624773, 76.74547714575, 53.73999401968],
18997  [0.93974624773, 123.56690587301, 47.35806022131],
18998  [0.88237466666, 122.90149113237, 84.60951786527],
18999  [0.95328197429, 136.63332204021, 71.47229013724],
19000  [0.92906298858, 60.20265185338, 66.18282421765],
19001  [0.98031398102, 145.05925607965, 54.85310084944],
19002  [0.95677950209, 53.74848279768, 48.29044987420],
19003  [0.85670415823, 117.39356524508, 104.14703947529],
19004  [0.95677950209, 146.60557938109, 36.68122373737],
19005  [0.90471818768, 54.95411967985, 84.74302441497],
19006  [0.86387559687, 137.60189805267, 98.56134348358],
19007  [0.93618508693, 150.47930042902, 84.39595054595],
19008  [0.84497162163, 100.26591999527, 117.48954005520],
19009  [0.87535479677, 60.20265185337, 103.83954520072],
19010  [0.85224179285, 76.74547714576, 117.23550814860],
19011  [0.97742363506, 31.30275538742, 38.27626634734],
19012  [0.98031398102, 166.29835357382, 58.34894899358],
19013  [0.97742363506, 172.08282587792, 23.25391864193],
19014  [0.95677950209, 175.18376227673, 41.42793697069],
19015  [0.95328197429, 167.68877404761, 76.52507810026],
19016  [0.89361626313, 40.64377762237, 98.27437854500],
19017  [0.86387559687, 158.14978781856, 101.92686945872],
19018  [0.90595977478, 54.75308293796, 122.97883715629],
19019  [0.99381133414, 7.17280892411, 25.36274309990],
19020  [0.83307386706, 88.00390988248, 136.22430391808],
19021  [0.99381133414, -140.93801143510, 9.96900490522],
19022  [1.00000000000, -31.96511287302, 11.81709800849],
19023  [0.98371540320, 4.52928663735, 43.17577705026],
19024  [0.93974624773, -172.13179507886, 57.43053587686],
19025  [0.92361632674, 33.74456077535, 116.51666025224],
19026  [0.88237466666, 176.54137051042, 93.10659229419],
19027  [0.88795219917, 58.17483991121, 142.51876696528],
19028  [0.90049378558, 20.88012257295, 101.43517915512],
19029  [0.91151194794, -172.97242393673, 76.44720346378],
19030  [0.85670415823, 176.12389580445, 113.38993257320],
19031  [1.00000000000, -86.89300652506, 21.73929442905],
19032  [0.82563492892, 86.34856699522, 157.55552562237],
19033  [0.97351477704, -7.48958255130, 58.69130109561],
19034  [0.92239850640, 3.30797104550, 92.97167023915],
19035  [0.93315806699, -154.75939859936, 68.34726029127],
19036  [0.91691225692, 16.04690052907, 128.75063659092],
19037  [0.95030941461, -6.72362906131, 77.01040947499],
19038  [0.89487325367, 24.26040291923, 147.48045746853],
19039  [0.89361626313, 3.68792179349, 112.37014185968],
19040  [0.84497162163, -170.24853845378, 130.75296319276],
19041  [0.82563492892, 158.30254110590, 169.97163206061],
19042  [0.83307386706, 17.01116140240, 167.40310406711],
19043  [0.99381133414, -88.17852775294, 39.45823518451],
19044  [0.83307386706, -164.16399893398, 151.51680495365],
19045  [0.96715665173, -24.15516210418, 69.14467742953],
19046  [0.93974624773, -134.98096495533, 71.74391203281],
19047  [0.87535479677, -9.17820344397, 129.06049435439],
19048  [0.85224179285, -14.39623935176, 149.22556072303],
19049  [0.85224179285, -142.22261776373, 134.89533663907],
19050  [0.97742363506, -99.56406375049, 55.34375951799],
19051  [0.88795219917, -117.84125112955, 161.20812506915],
19052  [0.95677950209, -115.73816730314, 66.91343056090],
19053  [0.98371540320, -77.63993728377, 55.59670900788],
19054  [0.96715665173, -43.25249448328, 72.27874735751],
19055  [0.89487325367, -55.51472779918, 159.94654207222],
19056  [0.92906298858, -121.04252325117, 84.88114880242],
19057  [0.87535479677, -35.56083036377, 133.40709638664],
19058  [0.97351477704, -61.95445176581, 67.33262336188],
19059  [0.87535479677, -121.19391662121, 122.53759488008],
19060  [0.90595977478, -113.95816093305, 141.59115335929],
19061  [0.90471818768, -115.73816730314, 103.38187217142],
19062  [0.95030941461, -56.87504678536, 84.99588813908],
19063  [0.91691225692, -62.41681417892, 140.73595257108],
19064  [0.89361626313, -56.21434180680, 121.79365083026],
19065  [0.89361626313, -99.56406375048, 115.87822418572],
19066  [0.92361632674, -88.29879521851, 132.93375360942],
19067  [0.92239850640, -61.95445176582, 103.12074420241],
19068  [0.90049378558, -77.63993728379, 115.66613412701]
19069  ],
19070  [
19071  [73,74,71,67,62,58,56,59,64,68],
19072  [74,73,70],
19073  [45,53,63,70,73,68,60,51,43,40],
19074  [63,53,54],
19075  [68,64,60],
19076  [29,39,51,60,64,59,49,37,28,25],
19077  [51,39,43],
19078  [59,56,49],
19079  [19,27,37,49,56,58,52,41,30,20],
19080  [37,27,28],
19081  [58,62,52],
19082  [32,35,41,52,62,67,65,55,46,36],
19083  [41,35,30],
19084  [67,71,65],
19085  [46,55,50],
19086  [0,1,4,9,14,16,15,11,6,2],
19087  [1,0,3],
19088  [27,19,10,3,0,2,8,17,25,28],
19089  [10,19,20],
19090  [2,6,8],
19091  [39,29,17,8,6,11,22,34,40,43],
19092  [17,29,25],
19093  [11,15,22],
19094  [40,34,45],
19095  [16,14,26],
19096  [50,47,38,26,14,9,12,23,36,46],
19097  [38,47,48],
19098  [9,4,12],
19099  [36,23,32],
19100  [7,18,21,13,5],
19101  [12,4,5,13],
19102  [23,12,13],
19103  [32,23,13,21],
19104  [35,32,21],
19105  [30,35,21,18],
19106  [20,30,18],
19107  [10,20,18,7],
19108  [10,7,3],
19109  [1,3,7,5],
19110  [4,1,5],
19111  [33,44,42,31,24],
19112  [22,15,24,31],
19113  [34,22,31],
19114  [45,34,31,42],
19115  [53,45,42],
19116  [54,53,42,44],
19117  [48,54,44],
19118  [38,48,44,33],
19119  [38,33,26],
19120  [16,26,33,24],
19121  [15,16,24],
19122  [69,61,57,66,72],
19123  [65,71,72,66],
19124  [55,65,66],
19125  [50,55,66,57],
19126  [47,50,57],
19127  [48,47,57,61],
19128  [54,48,61],
19129  [63,54,61,69],
19130  [63,69,70],
19131  [74,70,69,72],
19132  [71,74,72]
19133  ],
19134  [
19135  [0,1],
19136  [0,2],
19137  [0,3],
19138  [1,3],
19139  [1,4],
19140  [1,5],
19141  [2,6],
19142  [2,8],
19143  [3,7],
19144  [3,10],
19145  [4,5],
19146  [4,9],
19147  [4,12],
19148  [5,7],
19149  [5,13],
19150  [6,8],
19151  [6,11],
19152  [7,10],
19153  [7,18],
19154  [8,17],
19155  [9,12],
19156  [9,14],
19157  [10,19],
19158  [10,20],
19159  [11,15],
19160  [11,22],
19161  [12,13],
19162  [12,23],
19163  [13,21],
19164  [13,23],
19165  [14,16],
19166  [14,26],
19167  [15,16],
19168  [15,22],
19169  [15,24],
19170  [16,24],
19171  [16,26],
19172  [17,25],
19173  [17,29],
19174  [18,20],
19175  [18,21],
19176  [18,30],
19177  [19,20],
19178  [19,27],
19179  [20,30],
19180  [21,32],
19181  [21,35],
19182  [22,31],
19183  [22,34],
19184  [23,32],
19185  [23,36],
19186  [24,31],
19187  [24,33],
19188  [25,28],
19189  [25,29],
19190  [26,33],
19191  [26,38],
19192  [27,28],
19193  [27,37],
19194  [28,37],
19195  [29,39],
19196  [30,35],
19197  [30,41],
19198  [31,34],
19199  [31,42],
19200  [32,35],
19201  [32,36],
19202  [33,38],
19203  [33,44],
19204  [34,40],
19205  [34,45],
19206  [35,41],
19207  [36,46],
19208  [37,49],
19209  [38,47],
19210  [38,48],
19211  [39,43],
19212  [39,51],
19213  [40,43],
19214  [40,45],
19215  [41,52],
19216  [42,44],
19217  [42,45],
19218  [42,53],
19219  [43,51],
19220  [44,48],
19221  [44,54],
19222  [45,53],
19223  [46,50],
19224  [46,55],
19225  [47,48],
19226  [47,50],
19227  [47,57],
19228  [48,54],
19229  [48,61],
19230  [49,56],
19231  [49,59],
19232  [50,55],
19233  [50,57],
19234  [51,60],
19235  [52,58],
19236  [52,62],
19237  [53,54],
19238  [53,63],
19239  [54,61],
19240  [54,63],
19241  [55,65],
19242  [55,66],
19243  [56,58],
19244  [56,59],
19245  [57,61],
19246  [57,66],
19247  [58,62],
19248  [59,64],
19249  [60,64],
19250  [60,68],
19251  [61,69],
19252  [62,67],
19253  [63,69],
19254  [63,70],
19255  [64,68],
19256  [65,66],
19257  [65,67],
19258  [65,71],
19259  [66,72],
19260  [67,71],
19261  [68,73],
19262  [69,70],
19263  [69,72],
19264  [70,73],
19265  [70,74],
19266  [71,72],
19267  [71,74],
19268  [72,74],
19269  [73,74]
19270  ]
19271  ],
19272  [
19273  "johnson_tridiminished_icosahedron",
19274  "Tridiminished Icosahedron",
19275  "J63",
19276  "johnson",
19277  "Polyhedron Database #107",
19278  [
19279  [ 0.77548248538, 0.41459730052, 0.21583002982],
19280  [-0.03437071055, 0.94087180934, -0.04730722459],
19281  [ 0.77548248538, -0.43693274218, -0.31044447901],
19282  [-0.53488751153, 0.41459730052, -0.73620950036],
19283  [-0.03437071055, 0.41459730052, 0.80422281810],
19284  [-0.03437071055, -0.43693274218, -0.89883726729],
19285  [ 0.46614609043, -0.43693274218, 0.64159505117],
19286  [-0.84422390648, -0.43693274218, -0.31044447901],
19287  [-0.53488751153, -0.43693274218, 0.64159505117]
19288  ],
19289  [
19290  [0.90545381356, 28.13035994191, 76.20983879655],
19291  [0.94268715959, 92.09212491089, 92.87650388507],
19292  [0.94268715959, -29.39836349886, 109.22742659258],
19293  [1.00000000000, 142.22033543401, 137.40951634570],
19294  [0.90545381356, 94.73906544008, 27.35224942956],
19295  [1.00000000000, -94.49783112827, 154.00564962065],
19296  [0.90545381356, -43.14720705893, 44.87973249265],
19297  [1.00000000000, -152.63592616876, 108.08601889323],
19298  [0.94268715959, -140.75569730421, 47.10927298373]
19299  ],
19300  [
19301  [2,5,7,8,6],
19302  [1,3,5,2,0],
19303  [6,4,0],
19304  [6,8,4],
19305  [0,2,6],
19306  [4,1,0],
19307  [3,1,4,8,7],
19308  [3,7,5]
19309  ],
19310  [
19311  [0,1],
19312  [0,2],
19313  [0,4],
19314  [0,6],
19315  [1,3],
19316  [1,4],
19317  [2,5],
19318  [2,6],
19319  [3,5],
19320  [3,7],
19321  [4,6],
19322  [4,8],
19323  [5,7],
19324  [6,8],
19325  [7,8]
19326  ]
19327  ],
19328  [
19329  "johnson_tridiminished_rhombicosidodecahedron",
19330  "Tridiminished Rhombicosidodecahedron",
19331  "J83",
19332  "johnson",
19333  "Polyhedron Database #127",
19334  [
19335  [ 0.68621932859, -0.30213756917, 0.52995307974],
19336  [ 0.55516309869, -0.66290441995, 0.34956965436],
19337  [ 0.89827276299, -0.07917139338, 0.23808656646],
19338  [ 0.68621932859, -0.66290441995, -0.05377994682],
19339  [ 0.89827276299, -0.30213756917, -0.12268028431],
19340  [ 0.34310966429, -0.30213756917, 0.77923684262],
19341  [ 0.55516309869, 0.05862928160, 0.71033650513],
19342  [ 0.21205343440, -0.66290441995, 0.59885341723],
19343  [ 0.76721653310, 0.28159545740, 0.41846999185],
19344  [ 0.55516309869, -0.66290441995, -0.45712954800],
19345  [ 0.76721653310, -0.30213756917, -0.52602988550],
19346  [-0.00000000000, -0.07917139338, 0.89071993052],
19347  [ 0.21205343440, 0.28159545740, 0.82181959303],
19348  [-0.21205343440, -0.66290441995, 0.59885341723],
19349  [ 0.55516309869, 0.64236230817, 0.34956965436],
19350  [ 0.21205343440, -0.66290441995, -0.70641331088],
19351  [ 0.55516309869, -0.07917139338, -0.81789639878],
19352  [-0.34310966429, -0.30213756917, 0.77923684262],
19353  [ 0.21205343440, 0.64236230817, 0.59885341723],
19354  [ 0.21205343440, -0.30213756917, -0.92937948668],
19355  [-0.21205343440, 0.28159545740, 0.82181959303],
19356  [-0.55516309869, -0.66290441995, 0.34956965436],
19357  [ 0.34310966429, 0.86532848397, 0.05770314107],
19358  [-0.21205343440, -0.66290441995, -0.70641331088],
19359  [ 0.34310966429, 0.28159545740, -0.88679673627],
19360  [-0.55516309869, 0.05862928160, 0.71033650513],
19361  [-0.21205343440, 0.64236230817, 0.59885341723],
19362  [-0.68621932859, -0.30213756917, 0.52995307974],
19363  [-0.00000000000, 0.86532848397, 0.30698690395],
19364  [-0.68621932859, -0.66290441995, -0.05377994682],
19365  [ 0.21205343440, 0.86532848397, -0.34564646011],
19366  [-0.55516309869, -0.66290441995, -0.45712954800],
19367  [ 0.21205343440, 0.64236230817, -0.70641331088],
19368  [-0.21205343440, -0.30213756917, -0.92937948668],
19369  [ 0.00000000000, 0.05862928160, -0.99827982417],
19370  [-0.76721653310, 0.28159545740, 0.41846999185],
19371  [-0.55516309869, 0.64236230817, 0.34956965436],
19372  [-0.89827276299, -0.07917139338, 0.23808656646],
19373  [-0.34310966429, 0.86532848397, 0.05770314107],
19374  [-0.89827276299, -0.30213756917, -0.12268028432],
19375  [-0.21205343440, 0.86532848397, -0.34564646011],
19376  [-0.76721653310, -0.30213756917, -0.52602988550],
19377  [-0.21205343440, 0.64236230817, -0.70641331088],
19378  [-0.55516309869, -0.07917139338, -0.81789639878],
19379  [-0.34310966429, 0.28159545740, -0.88679673627]
19380  ],
19381  [
19382  [0.91816901732, -23.76355786798, 54.74723014455],
19383  [0.93265603487, -50.05480919707, 67.98737377951],
19384  [0.93265603487, -5.03688337902, 75.20994147564],
19385  [0.95563147687, -44.00994041043, 93.22613147770],
19386  [0.95563147687, -18.59056783835, 97.37576596937],
19387  [0.90344972707, -41.36669401386, 30.40011234322],
19388  [0.90344972707, 6.02850764266, 38.16365027191],
19389  [0.91816901732, -72.26128562929, 49.29037998848],
19390  [0.91816901732, 20.15491313126, 62.88578516628],
19391  [0.97806735954, -50.05480919706, 117.86438882336],
19392  [0.97806735954, -21.49501797452, 122.53575569254],
19393  [0.89423157188, -90.00000000014, 5.07937098470],
19394  [0.89423157188, 53.01868752786, 23.21629911897],
19395  [0.91816901732, -107.73871437072, 49.29037998849],
19396  [0.91816901732, 49.16470870445, 67.62141846378],
19397  [0.99167973400, -72.26128562926, 135.42563842532],
19398  [0.99167973400, -8.11618274595, 145.56402569603],
19399  [0.90344972707, -138.63330598616, 30.40011234323],
19400  [0.90344972707, 71.73116823996, 48.48225654390],
19401  [1.00000000000, -54.93713360264, 158.33829401187],
19402  [0.89423157188, 126.98131247218, 23.21629911899],
19403  [0.93265603487, -129.94519080293, 67.98737377953],
19404  [0.93265603487, 68.37127811185, 86.45286235273],
19405  [0.99167973400, -107.73871437069, 135.42563842533],
19406  [0.99167973400, 39.37626054546, 153.41059578042],
19407  [0.90344972707, 173.97149235734, 38.16365027194],
19408  [0.90344972707, 108.26883176006, 48.48225654390],
19409  [0.91816901732, -156.23644213202, 54.74723014458],
19410  [0.91816901732, 90.00000000000, 70.46717584405],
19411  [0.95563147687, -135.99005958956, 93.22613147772],
19412  [0.95563147687, 76.23070386936, 111.20428543091],
19413  [0.97806735954, -129.94519080291, 117.86438882338],
19414  [0.97806735954, 71.73116823993, 136.24091079743],
19415  [1.00000000000, -125.06286639728, 158.33829401189],
19416  [1.00000000000, 89.99999999970, 176.63886213771],
19417  [0.91816901732, 159.84508686874, 62.88578516630],
19418  [0.91816901732, 130.83529129556, 67.62141846380],
19419  [0.93265603487, -174.96311662096, 75.20994147568],
19420  [0.93265603487, 111.62872188814, 86.45286235274],
19421  [0.95563147687, -161.40943216163, 97.37576596942],
19422  [0.95563147687, 103.76929613061, 111.20428543092],
19423  [0.97806735954, -158.50498202545, 122.53575569257],
19424  [0.97806735954, 108.26883176003, 136.24091079744],
19425  [0.99167973400, -171.88381725403, 145.56402569606],
19426  [0.99167973400, 140.62373945450, 153.41059578044]
19427  ],
19428  [
19429  [25,27,37,35],
19430  [17,27,25],
19431  [17,13,21,27],
19432  [27,21,29,39,37],
19433  [3,9,15,23,31,29,21,13,7,1],
19434  [20,11,17,25],
19435  [12,11,20],
19436  [12,6,5,11],
19437  [11,5,7,13,17],
19438  [6,0,5],
19439  [8,2,0,6],
19440  [5,0,1,7],
19441  [0,2,4,3,1],
19442  [4,10,9,3],
19443  [26,18,12,20],
19444  [28,18,26],
19445  [28,22,14,18],
19446  [18,14,8,6,12],
19447  [24,16,10,4,2,8,14,22,30,32],
19448  [36,38,28,26],
19449  [35,37,39,41,43,44,42,40,38,36],
19450  [38,40,30,22,28],
19451  [40,42,32,30],
19452  [42,44,34,24,32],
19453  [34,19,16,24],
19454  [29,31,41,39],
19455  [43,33,34,44],
19456  [41,31,23,33,43],
19457  [33,19,34],
19458  [23,15,19,33],
19459  [36,26,20,25,35],
19460  [15,9,10,16,19]
19461  ],
19462  [
19463  [0,1],
19464  [0,2],
19465  [0,5],
19466  [0,6],
19467  [1,3],
19468  [1,7],
19469  [2,4],
19470  [2,8],
19471  [3,4],
19472  [3,9],
19473  [4,10],
19474  [5,6],
19475  [5,7],
19476  [5,11],
19477  [6,8],
19478  [6,12],
19479  [7,13],
19480  [8,14],
19481  [9,10],
19482  [9,15],
19483  [10,16],
19484  [11,12],
19485  [11,17],
19486  [11,20],
19487  [12,18],
19488  [12,20],
19489  [13,17],
19490  [13,21],
19491  [14,18],
19492  [14,22],
19493  [15,19],
19494  [15,23],
19495  [16,19],
19496  [16,24],
19497  [17,25],
19498  [17,27],
19499  [18,26],
19500  [18,28],
19501  [19,33],
19502  [19,34],
19503  [20,25],
19504  [20,26],
19505  [21,27],
19506  [21,29],
19507  [22,28],
19508  [22,30],
19509  [23,31],
19510  [23,33],
19511  [24,32],
19512  [24,34],
19513  [25,27],
19514  [25,35],
19515  [26,28],
19516  [26,36],
19517  [27,37],
19518  [28,38],
19519  [29,31],
19520  [29,39],
19521  [30,32],
19522  [30,40],
19523  [31,41],
19524  [32,42],
19525  [33,34],
19526  [33,43],
19527  [34,44],
19528  [35,36],
19529  [35,37],
19530  [36,38],
19531  [37,39],
19532  [38,40],
19533  [39,41],
19534  [40,42],
19535  [41,43],
19536  [42,44],
19537  [43,44]
19538  ]
19539  ],
19540  [
19541  "johnson_trigyrate_rhombicosidodecahedron",
19542  "Trigyrate Rhombicosidodecahedron",
19543  "J75",
19544  "johnson",
19545  "Polyhedron Database #119",
19546  [
19547  [ 0.81014642261, -0.30819801214, -0.49867486605],
19548  [ 0.58622745890, -0.68915170731, -0.42591918399],
19549  [ 0.94853595364, -0.30819801214, -0.07275568693],
19550  [ 0.72461703139, -0.68915172911, 0.00000000860],
19551  [ 0.84839634805, 0.13783034304, -0.51110302027],
19552  [ 0.58622745831, -0.07275568039, -0.80687287916],
19553  [ 0.98678587908, 0.13783034304, -0.08518384115],
19554  [ 0.36230849555, -0.92459403906, -0.11772117019],
19555  [ 0.22391896430, -0.68915170731, -0.68915171272],
19556  [ 0.94853595423, -0.07275568039, 0.30819800824],
19557  [ 0.22391896394, -0.30819801214, -0.92459404447],
19558  [ 0.58622752731, -0.68915174258, 0.42591919647],
19559  [ 0.00000000095, -0.92459403906, -0.38095369892],
19560  [ 0.72461703235, -0.30819803394, 0.61639603551],
19561  [ 0.22391896585, -0.92459403906, 0.30819800936],
19562  [ 0.62447738411, 0.51878403820, -0.58385870162],
19563  [ 0.36230849437, 0.30819801477, -0.87962856052],
19564  [ 0.84839634900, 0.51878403820, 0.10529300665],
19565  [-0.22391896335, -0.68915170731, -0.68915171203],
19566  [ 0.00000000000, 0.07275568302, -0.99734972583],
19567  [ 0.81014642416, 0.30819801477, 0.49867485603],
19568  [-0.22391896371, -0.30819801214, -0.92459404378],
19569  [ 0.36230849694, -0.51878403557, 0.77433554017],
19570  [ 0.62447738470, 0.75422636995, -0.20290500646],
19571  [-0.36230849283, -0.92459403906, -0.11772116907],
19572  [ 0.58622746081, 0.07275568302, 0.80687286984],
19573  [-0.22391896180, -0.92459403906, 0.30819801005],
19574  [ 0.22391896430, 0.68915170994, -0.68915171272],
19575  [ 0.00000000256, -0.75422636732, 0.65661437486],
19576  [ 0.58622746022, 0.68915170994, 0.42591917467],
19577  [-0.58622745713, -0.68915170731, -0.42591918218],
19578  [ 0.22391896686, -0.13783034041, 0.96481238797],
19579  [-0.36230849401, 0.30819801477, -0.87962855939],
19580  [ 0.22391896489, 0.92459404169, -0.30819801756],
19581  [-0.58622745772, -0.07275568039, -0.80687287734],
19582  [ 0.36230849592, 0.92459404169, 0.11772116156],
19583  [-0.22391896335, 0.68915170994, -0.68915171203],
19584  [-0.72461702830, -0.68915172911, 0.00000001084],
19585  [ 0.22391896680, 0.30819801477, 0.92459403627],
19586  [-0.58622752290, -0.68915174258, 0.42591919829],
19587  [-0.81014642107, -0.30819801214, -0.49867486354],
19588  [-0.36230849145, -0.51878403557, 0.77433554130],
19589  [ 0.22391896644, 0.68915170994, 0.68915170452],
19590  [-0.22391896078, -0.13783034041, 0.96481238866],
19591  [-0.22391896276, 0.92459404169, -0.30819801686],
19592  [-0.62447738283, 0.51878403820, -0.58385869969],
19593  [-0.84839634654, 0.13783034304, -0.51110301764],
19594  [ 0.00000000214, 0.92459404169, 0.38095369141],
19595  [-0.94853595077, -0.30819801214, -0.07275568399],
19596  [-0.22391896085, 0.30819801477, 0.92459403697],
19597  [-0.72461702735, -0.30819803394, 0.61639603776],
19598  [-0.22391898684, 0.68915173173, 0.68915174049],
19599  [-0.36230849246, 0.92459404169, 0.11772116269],
19600  [-0.62447738224, 0.75422636995, -0.20290500453],
19601  [-0.58622745522, 0.07275568302, 0.80687287165],
19602  [-0.98678587625, 0.13783034304, -0.08518383809],
19603  [-0.94853595018, -0.07275568039, 0.30819801118],
19604  [-0.58622749727, 0.68915174521, 0.42591923356],
19605  [-0.84839634559, 0.51878403820, 0.10529300928],
19606  [-0.81014644515, 0.30819803657, 0.49867489381]
19607  ],
19608  [
19609  [0.99999993139, -20.82794625364, 119.91237076139],
19610  [0.99999993027, -49.61382234416, 115.20886052090],
19611  [0.99999993001, -17.99999990276, 94.17228054250],
19612  [0.99999997396, -43.56299975178, 89.99999950735],
19613  [0.99999993208, 9.22764496004, 120.73733164675],
19614  [0.99999993251, -7.07470496475, 143.79152409877],
19615  [0.99999993070, 7.95140480699, 94.88659687324],
19616  [0.99999992846, -68.60193099443, 96.76060349837],
19617  [0.99999993070, -71.99999993198, 133.56300081327],
19618  [0.99999992889, -4.38617747094, 72.04933107129],
19619  [0.99999993208, -53.99999987008, 157.60722921332],
19620  [1.00000000000, -49.61382049157, 64.79114056952],
19621  [0.99999992889, -89.99999994082, 112.39277115638],
19622  [0.99999997215, -23.04128215601, 51.94656985846],
19623  [0.99999992665, -76.38617742215, 72.04933096210],
19624  [0.99999993251, 39.71807767282, 125.72240615218],
19625  [0.99999993294, 40.38617766555, 151.59759642355],
19626  [0.99999993027, 31.44527815788, 83.95595139326],
19627  [0.99999993001, -107.99999999622, 133.56300079611],
19628  [0.99999993251, 89.99999999999, 175.82771969239],
19629  [0.99999992846, 20.82794637973, 60.08762980391],
19630  [0.99999993139, -126.00000010249, 157.60722920519],
19631  [0.99999992565, -55.07031437910, 39.25516564935],
19632  [0.99999993139, 50.37623714233, 101.70688835168],
19633  [0.99999992734, -111.39806885915, 96.76060344119],
19634  [0.99999992665, 7.07470518792, 36.20847634635],
19635  [0.99999992596, -103.61382234103, 72.04933090746],
19636  [0.99999993251, 71.99999999621, 133.56300071454],
19637  [0.99999992522, -89.99999980532, 48.95782221870],
19638  [0.99999992889, 49.61382238836, 64.79114003198],
19639  [0.99999992846, -130.38617757042, 115.20886045472],
19640  [0.99999992522, -31.61382184960, 15.24452363152],
19641  [0.99999993182, 139.61382230595, 151.59759640696],
19642  [0.99999993139, 76.38617751532, 107.95066944356],
19643  [0.99999993070, -172.92529502820, 143.79152406436],
19644  [0.99999993001, 68.60193103016, 83.23939700984],
19645  [0.99999993182, 107.99999993197, 133.56300069739],
19646  [0.99999997172, -136.43700012618, 89.99999937870],
19647  [0.99999992596, 53.99999975385, 22.39277116748],
19648  [0.99999999819, -130.38617929570, 64.79114040561],
19649  [0.99999992889, -159.17205371004, 119.91237067797],
19650  [0.99999992453, -124.92968521333, 39.25516546918],
19651  [0.99999992734, 71.99999983560, 46.43699965184],
19652  [0.99999992453, -148.38617745588, 15.24452333482],
19653  [0.99999993070, 103.61382235966, 107.95066941460],
19654  [0.99999993058, 140.28192226938, 125.72240609513],
19655  [0.99999992946, 170.77235502383, 120.73733156082],
19656  [0.99999992846, 89.99999986765, 67.60722929848],
19657  [0.99999992708, -162.00000004638, 94.17228038589],
19658  [0.99999992526, 125.99999952143, 22.39277096689],
19659  [0.99999996991, -156.95871770158, 51.94656959463],
19660  [0.99999997172, 108.00000116584, 46.43699922618],
19661  [0.99999992889, 111.39806878419, 83.23939693745],
19662  [0.99999992946, 129.62376274669, 101.70688826136],
19663  [0.99999992484, 172.92529474527, 36.20847602836],
19664  [0.99999992765, 172.04859517050, 94.88659671233],
19665  [0.99999992596, -175.61382251042, 72.04933083984],
19666  [1.00000000000, 130.38617795168, 64.79113822081],
19667  [0.99999992765, 148.55472173940, 83.95595122587],
19668  [0.99999997103, 159.17205276679, 60.08762870951]
19669  ],
19670  [
19671  [30,24,12,18],
19672  [37,24,30],
19673  [37,39,26,24],
19674  [24,26,14,7,12],
19675  [26,28,14],
19676  [39,41,28,26],
19677  [14,28,22,11],
19678  [22,13,11],
19679  [22,31,25,13],
19680  [28,41,43,31,22],
19681  [31,38,25],
19682  [43,49,38,31],
19683  [40,48,37,30],
19684  [55,56,48],
19685  [55,58,59,56],
19686  [48,56,50,39,37],
19687  [58,57,59],
19688  [53,52,57,58],
19689  [56,59,54,50],
19690  [50,41,39],
19691  [50,54,43,41],
19692  [59,57,51,49,54],
19693  [54,49,43],
19694  [51,42,38,49],
19695  [40,46,55,48],
19696  [34,46,40],
19697  [34,32,45,46],
19698  [46,45,53,58,55],
19699  [32,36,45],
19700  [27,33,44,36],
19701  [45,36,44,53],
19702  [44,52,53],
19703  [52,47,51,57],
19704  [44,33,35,47,52],
19705  [47,42,51],
19706  [35,29,42,47],
19707  [21,19,32,34],
19708  [10,19,21],
19709  [10,5,16,19],
19710  [19,16,27,36,32],
19711  [16,15,27],
19712  [5,4,15,16],
19713  [27,15,23,33],
19714  [23,35,33],
19715  [23,17,29,35],
19716  [15,4,6,17,23],
19717  [17,20,29],
19718  [6,9,20,17],
19719  [18,8,10,21],
19720  [12,8,18],
19721  [12,7,1,8],
19722  [8,1,0,5,10],
19723  [7,3,1],
19724  [14,11,3,7],
19725  [1,3,2,0],
19726  [0,4,5],
19727  [0,2,6,4],
19728  [3,11,13,9,2],
19729  [2,9,6],
19730  [13,25,20,9],
19731  [21,34,40,30,18],
19732  [25,38,42,29,20]
19733  ],
19734  [
19735  [0,1],
19736  [0,2],
19737  [0,4],
19738  [0,5],
19739  [1,3],
19740  [1,7],
19741  [1,8],
19742  [2,3],
19743  [2,6],
19744  [2,9],
19745  [3,7],
19746  [3,11],
19747  [4,5],
19748  [4,6],
19749  [4,15],
19750  [5,10],
19751  [5,16],
19752  [6,9],
19753  [6,17],
19754  [7,12],
19755  [7,14],
19756  [8,10],
19757  [8,12],
19758  [8,18],
19759  [9,13],
19760  [9,20],
19761  [10,19],
19762  [10,21],
19763  [11,13],
19764  [11,14],
19765  [11,22],
19766  [12,18],
19767  [12,24],
19768  [13,22],
19769  [13,25],
19770  [14,26],
19771  [14,28],
19772  [15,16],
19773  [15,23],
19774  [15,27],
19775  [16,19],
19776  [16,27],
19777  [17,20],
19778  [17,23],
19779  [17,29],
19780  [18,21],
19781  [18,30],
19782  [19,21],
19783  [19,32],
19784  [20,25],
19785  [20,29],
19786  [21,34],
19787  [22,28],
19788  [22,31],
19789  [23,33],
19790  [23,35],
19791  [24,26],
19792  [24,30],
19793  [24,37],
19794  [25,31],
19795  [25,38],
19796  [26,28],
19797  [26,39],
19798  [27,33],
19799  [27,36],
19800  [28,41],
19801  [29,35],
19802  [29,42],
19803  [30,37],
19804  [30,40],
19805  [31,38],
19806  [31,43],
19807  [32,34],
19808  [32,36],
19809  [32,45],
19810  [33,35],
19811  [33,44],
19812  [34,40],
19813  [34,46],
19814  [35,47],
19815  [36,44],
19816  [36,45],
19817  [37,39],
19818  [37,48],
19819  [38,42],
19820  [38,49],
19821  [39,41],
19822  [39,50],
19823  [40,46],
19824  [40,48],
19825  [41,43],
19826  [41,50],
19827  [42,47],
19828  [42,51],
19829  [43,49],
19830  [43,54],
19831  [44,52],
19832  [44,53],
19833  [45,46],
19834  [45,53],
19835  [46,55],
19836  [47,51],
19837  [47,52],
19838  [48,55],
19839  [48,56],
19840  [49,51],
19841  [49,54],
19842  [50,54],
19843  [50,56],
19844  [51,57],
19845  [52,53],
19846  [52,57],
19847  [53,58],
19848  [54,59],
19849  [55,56],
19850  [55,58],
19851  [56,59],
19852  [57,58],
19853  [57,59],
19854  [58,59]
19855  ]
19856  ],
19857  [
19858  "platonic_cube",
19859  "Cube",
19860  "Hexahedron",
19861  "platonic",
19862  "Exact Mathematics",
19863  [
19864  [ 1.00000000000, 1.00000000000, 1.00000000000],
19865  [ 1.00000000000, 1.00000000000, -1.00000000000],
19866  [ 1.00000000000, -1.00000000000, 1.00000000000],
19867  [ 1.00000000000, -1.00000000000, -1.00000000000],
19868  [-1.00000000000, 1.00000000000, 1.00000000000],
19869  [-1.00000000000, 1.00000000000, -1.00000000000],
19870  [-1.00000000000, -1.00000000000, 1.00000000000],
19871  [-1.00000000000, -1.00000000000, -1.00000000000]
19872  ],
19873  [
19874  [1.73205080757, 45.00000000000, 54.73561031724],
19875  [1.73205080757, 45.00000000000, 125.26438968275],
19876  [1.73205080757, -45.00000000000, 54.73561031724],
19877  [1.73205080757, -45.00000000000, 125.26438968275],
19878  [1.73205080757, 134.99999999999, 54.73561031724],
19879  [1.73205080757, 134.99999999999, 125.26438968275],
19880  [1.73205080757, -134.99999999999, 54.73561031724],
19881  [1.73205080757, -134.99999999999, 125.26438968275]
19882  ],
19883  [
19884  [6,4,0,2],
19885  [5,1,0,4],
19886  [7,5,4,6],
19887  [1,3,2,0],
19888  [3,7,6,2],
19889  [7,3,1,5]
19890  ],
19891  [
19892  [0,1],
19893  [0,2],
19894  [0,4],
19895  [1,3],
19896  [1,5],
19897  [2,3],
19898  [2,6],
19899  [3,7],
19900  [4,5],
19901  [4,6],
19902  [5,7],
19903  [6,7]
19904  ]
19905  ],
19906  [
19907  "platonic_dodecahedron",
19908  "Dodecahedron",
19909  empty_str,
19910  "platonic",
19911  "Exact Mathematics",
19912  [
19913  [ 0.57735026919, 0.57735026919, 0.57735026919],
19914  [-0.00000000000, 0.93417235896, -0.35682208977],
19915  [-0.57735026919, 0.57735026919, 0.57735026919],
19916  [-0.00000000000, 0.93417235896, 0.35682208977],
19917  [-0.93417235896, 0.35682208977, -0.00000000000],
19918  [-0.57735026919, 0.57735026919, -0.57735026919],
19919  [ 0.93417235896, -0.35682208977, -0.00000000000],
19920  [ 0.93417235896, 0.35682208977, -0.00000000000],
19921  [ 0.57735026919, 0.57735026919, -0.57735026919],
19922  [ 0.57735026919, -0.57735026919, 0.57735026919],
19923  [ 0.35682208977, 0.00000000000, 0.93417235896],
19924  [-0.35682208977, 0.00000000000, 0.93417235896],
19925  [-0.93417235896, -0.35682208977, -0.00000000000],
19926  [-0.57735026919, -0.57735026919, 0.57735026919],
19927  [-0.00000000000, -0.93417235896, 0.35682208977],
19928  [ 0.35682208977, 0.00000000000, -0.93417235896],
19929  [ 0.57735026919, -0.57735026919, -0.57735026919],
19930  [-0.00000000000, -0.93417235896, -0.35682208977],
19931  [-0.35682208977, 0.00000000000, -0.93417235896],
19932  [-0.57735026919, -0.57735026919, -0.57735026919]
19933  ],
19934  [
19935  [1.00000000000, 45.00000000000, 54.73561031724],
19936  [1.00000000000, 89.99999999999, 110.90515744788],
19937  [1.00000000000, 134.99999999999, 54.73561031724],
19938  [1.00000000000, 89.99999999999, 69.09484255211],
19939  [1.00000000000, 159.09484255210, 89.99999999999],
19940  [1.00000000000, 134.99999999999, 125.26438968275],
19941  [1.00000000000, -20.90515744789, 89.99999999999],
19942  [1.00000000000, 20.90515744789, 89.99999999999],
19943  [1.00000000000, 45.00000000000, 125.26438968275],
19944  [1.00000000000, -45.00000000000, 54.73561031724],
19945  [1.00000000000, 0.00000000000, 20.90515744789],
19946  [1.00000000000, 179.99999999999, 20.90515744789],
19947  [1.00000000000, -159.09484255210, 89.99999999999],
19948  [1.00000000000, -134.99999999999, 54.73561031724],
19949  [1.00000000000, -89.99999999999, 69.09484255211],
19950  [1.00000000000, 0.00000000000, 159.09484255210],
19951  [1.00000000000, -45.00000000000, 125.26438968275],
19952  [1.00000000000, -89.99999999999, 110.90515744788],
19953  [1.00000000000, 179.99999999999, 159.09484255210],
19954  [1.00000000000, -134.99999999999, 125.26438968275]
19955  ],
19956  [
19957  [2,4,5,1,3],
19958  [0,7,6,9,10],
19959  [8,15,16,6,7],
19960  [8,7,0,3,1],
19961  [5,18,15,8,1],
19962  [0,10,11,2,3],
19963  [6,16,17,14,9],
19964  [11,13,12,4,2],
19965  [11,10,9,14,13],
19966  [19,17,16,15,18],
19967  [19,12,13,14,17],
19968  [18,5,4,12,19]
19969  ],
19970  [
19971  [0,3],
19972  [0,7],
19973  [0,10],
19974  [1,3],
19975  [1,5],
19976  [1,8],
19977  [2,3],
19978  [2,4],
19979  [2,11],
19980  [4,5],
19981  [4,12],
19982  [5,18],
19983  [6,7],
19984  [6,9],
19985  [6,16],
19986  [7,8],
19987  [8,15],
19988  [9,10],
19989  [9,14],
19990  [10,11],
19991  [11,13],
19992  [12,13],
19993  [12,19],
19994  [13,14],
19995  [14,17],
19996  [15,16],
19997  [15,18],
19998  [16,17],
19999  [17,19],
20000  [18,19]
20001  ]
20002  ],
20003  [
20004  "platonic_icosahedron",
20005  "Icosahedron",
20006  empty_str,
20007  "platonic",
20008  "Exact Mathematics",
20009  [
20010  [-1.00000000000, 0.00000000000, 0.61803398875],
20011  [ 1.00000000000, 0.00000000000, 0.61803398875],
20012  [-1.00000000000, 0.00000000000, -0.61803398875],
20013  [ 1.00000000000, 0.00000000000, -0.61803398875],
20014  [ 0.00000000000, 0.61803398875, 1.00000000000],
20015  [ 0.00000000000, 0.61803398875, -1.00000000000],
20016  [ 0.00000000000, -0.61803398875, 1.00000000000],
20017  [ 0.00000000000, -0.61803398875, -1.00000000000],
20018  [ 0.61803398875, 1.00000000000, 0.00000000000],
20019  [-0.61803398875, 1.00000000000, 0.00000000000],
20020  [ 0.61803398875, -1.00000000000, 0.00000000000],
20021  [-0.61803398875, -1.00000000000, 0.00000000000]
20022  ],
20023  [
20024  [1.17557050458, 179.99999999999, 58.28252558853],
20025  [1.17557050458, 0.00000000000, 58.28252558853],
20026  [1.17557050458, 179.99999999999, 121.71747441145],
20027  [1.17557050458, 0.00000000000, 121.71747441145],
20028  [1.17557050458, 89.99999999999, 31.71747441146],
20029  [1.17557050458, 89.99999999999, 148.28252558853],
20030  [1.17557050458, -89.99999999999, 31.71747441146],
20031  [1.17557050458, -89.99999999999, 148.28252558853],
20032  [1.17557050458, 58.28252558853, 89.99999999999],
20033  [1.17557050458, 121.71747441145, 89.99999999999],
20034  [1.17557050458, -58.28252558853, 89.99999999999],
20035  [1.17557050458, -121.71747441145, 89.99999999999]
20036  ],
20037  [
20038  [4,8,1],
20039  [10,6,1],
20040  [4,6,0],
20041  [6,4,1],
20042  [8,3,1],
20043  [3,10,1],
20044  [4,9,8],
20045  [2,9,0],
20046  [9,4,0],
20047  [11,6,10],
20048  [11,2,0],
20049  [6,11,0],
20050  [5,3,8],
20051  [9,5,8],
20052  [5,9,2],
20053  [3,7,10],
20054  [7,11,10],
20055  [11,7,2],
20056  [7,5,2],
20057  [5,7,3]
20058  ],
20059  [
20060  [0,2],
20061  [0,4],
20062  [0,6],
20063  [0,9],
20064  [0,11],
20065  [1,3],
20066  [1,4],
20067  [1,6],
20068  [1,8],
20069  [1,10],
20070  [2,5],
20071  [2,7],
20072  [2,9],
20073  [2,11],
20074  [3,5],
20075  [3,7],
20076  [3,8],
20077  [3,10],
20078  [4,6],
20079  [4,8],
20080  [4,9],
20081  [5,7],
20082  [5,8],
20083  [5,9],
20084  [6,10],
20085  [6,11],
20086  [7,10],
20087  [7,11],
20088  [8,9],
20089  [10,11]
20090  ]
20091  ],
20092  [
20093  "platonic_octahedron",
20094  "Octahedron",
20095  empty_str,
20096  "platonic",
20097  "Exact Mathematics",
20098  [
20099  [ 0.00000000000, 0.00000000000, 1.00000000000],
20100  [ 0.00000000000, 1.00000000000, 0.00000000000],
20101  [-1.00000000000, 0.00000000000, 0.00000000000],
20102  [ 1.00000000000, 0.00000000000, 0.00000000000],
20103  [ 0.00000000000, -1.00000000000, 0.00000000000],
20104  [ 0.00000000000, 0.00000000000, -1.00000000000]
20105  ],
20106  [
20107  [1.00000000000, 0.00000000000, 0.00000000000],
20108  [1.00000000000, 89.99999999999, 89.99999999999],
20109  [1.00000000000, 179.99999999999, 89.99999999999],
20110  [1.00000000000, 0.00000000000, 89.99999999999],
20111  [1.00000000000, -89.99999999999, 89.99999999999],
20112  [1.00000000000, 0.00000000000, 179.99999999999]
20113  ],
20114  [
20115  [1,0,2],
20116  [0,1,3],
20117  [5,1,2],
20118  [1,5,3],
20119  [4,0,3],
20120  [0,4,2],
20121  [4,5,2],
20122  [5,4,3]
20123  ],
20124  [
20125  [0,1],
20126  [0,2],
20127  [0,3],
20128  [0,4],
20129  [1,2],
20130  [1,3],
20131  [2,4],
20132  [3,4],
20133  [1,5],
20134  [2,5],
20135  [3,5],
20136  [4,5]
20137  ]
20138  ],
20139  [
20140  "platonic_tetrahedron",
20141  "Tetrahedron",
20142  empty_str,
20143  "platonic",
20144  "Exact Mathematics",
20145  [
20146  [ 1.00000000000, 1.00000000000, -1.00000000000],
20147  [-1.00000000000, 1.00000000000, 1.00000000000],
20148  [ 1.00000000000, -1.00000000000, 1.00000000000],
20149  [-1.00000000000, -1.00000000000, -1.00000000000]
20150  ],
20151  [
20152  [1.73205080757, 45.00000000000, 125.26438968275],
20153  [1.73205080757, 134.99999999999, 54.73561031724],
20154  [1.73205080757, -45.00000000000, 54.73561031724],
20155  [1.73205080757, -134.99999999999, 125.26438968275]
20156  ],
20157  [
20158  [0,2,1],
20159  [3,0,1],
20160  [2,3,1],
20161  [3,2,0]
20162  ],
20163  [
20164  [0,1],
20165  [0,2],
20166  [0,3],
20167  [1,2],
20168  [1,3],
20169  [2,3]
20170  ]
20171  ],
20172  [
20173  "prisms_decagonal_prism",
20174  "Decagonal Prism",
20175  empty_str,
20176  "prisms",
20177  "Polyhedron Database #26",
20178  [
20179  [-0.95542256321, 0.29524180884, -0.00000000000],
20180  [-0.77295309045, 0.29524180884, 0.56158329236],
20181  [-0.77295309045, 0.29524180884, -0.56158329236],
20182  [-0.95542256321, -0.29524180884, -0.00000000000],
20183  [-0.77295309045, -0.29524180884, 0.56158329236],
20184  [-0.77295309045, -0.29524180884, -0.56158329236],
20185  [-0.29524180884, 0.29524180884, 0.90866085456],
20186  [-0.29524180884, 0.29524180884, -0.90866085456],
20187  [-0.29524180884, -0.29524180884, 0.90866085456],
20188  [-0.29524180884, -0.29524180884, -0.90866085456],
20189  [ 0.29524180884, 0.29524180884, 0.90866085456],
20190  [ 0.29524180884, 0.29524180884, -0.90866085456],
20191  [ 0.29524180884, -0.29524180884, 0.90866085456],
20192  [ 0.29524180884, -0.29524180884, -0.90866085456],
20193  [ 0.77295309045, 0.29524180884, 0.56158329236],
20194  [ 0.77295309045, 0.29524180884, -0.56158329236],
20195  [ 0.95542256321, 0.29524180884, -0.00000000000],
20196  [ 0.77295309045, -0.29524180884, 0.56158329236],
20197  [ 0.77295309045, -0.29524180884, -0.56158329236],
20198  [ 0.95542256321, -0.29524180884, -0.00000000000]
20199  ],
20200  [
20201  [0.99999999999, 162.82796214954, 89.99999999999],
20202  [0.99999999999, 159.09484255227, 55.83463617203],
20203  [0.99999999999, 159.09484255227, 124.16536382795],
20204  [0.99999999999, -162.82796214954, 89.99999999999],
20205  [0.99999999999, -159.09484255227, 55.83463617203],
20206  [0.99999999999, -159.09484255227, 124.16536382795],
20207  [0.99999999999, 134.99999999999, 24.67905738915],
20208  [0.99999999999, 134.99999999999, 155.32094261084],
20209  [0.99999999999, -134.99999999999, 24.67905738915],
20210  [0.99999999999, -134.99999999999, 155.32094261084],
20211  [0.99999999999, 45.00000000000, 24.67905738915],
20212  [0.99999999999, 45.00000000000, 155.32094261084],
20213  [0.99999999999, -45.00000000000, 24.67905738915],
20214  [0.99999999999, -45.00000000000, 155.32094261084],
20215  [0.99999999999, 20.90515744772, 55.83463617203],
20216  [0.99999999999, 20.90515744772, 124.16536382795],
20217  [0.99999999999, 17.17203785045, 89.99999999999],
20218  [0.99999999999, -20.90515744772, 55.83463617203],
20219  [0.99999999999, -20.90515744772, 124.16536382795],
20220  [0.99999999999, -17.17203785045, 89.99999999999]
20221  ],
20222  [
20223  [17,19,18,13,9,5,3,4,8,12],
20224  [1,0,2,7,11,15,16,14,10,6],
20225  [2,5,9,7],
20226  [0,3,5,2],
20227  [1,4,3,0],
20228  [6,8,4,1],
20229  [10,12,8,6],
20230  [14,17,12,10],
20231  [16,19,17,14],
20232  [15,18,19,16],
20233  [11,13,18,15],
20234  [7,9,13,11]
20235  ],
20236  [
20237  [0,1],
20238  [0,2],
20239  [0,3],
20240  [1,4],
20241  [1,6],
20242  [2,5],
20243  [2,7],
20244  [3,4],
20245  [3,5],
20246  [4,8],
20247  [5,9],
20248  [6,8],
20249  [6,10],
20250  [7,9],
20251  [7,11],
20252  [8,12],
20253  [9,13],
20254  [10,12],
20255  [10,14],
20256  [11,13],
20257  [11,15],
20258  [12,17],
20259  [13,18],
20260  [14,16],
20261  [14,17],
20262  [15,16],
20263  [15,18],
20264  [16,19],
20265  [17,19],
20266  [18,19]
20267  ]
20268  ],
20269  [
20270  "prisms_hexagonal_prism",
20271  "Hexagonal Prism",
20272  empty_str,
20273  "prisms",
20274  "Polyhedron Database #24",
20275  [
20276  [-0.89442719100, 0.44721359550, 0.00000000000],
20277  [-0.44721359550, 0.44721359550, 0.77459666924],
20278  [-0.44721359550, 0.44721359550, -0.77459666924],
20279  [ 0.44721359550, 0.44721359550, 0.77459666924],
20280  [ 0.44721359550, 0.44721359550, -0.77459666924],
20281  [-0.89442719100, -0.44721359550, 0.00000000000],
20282  [ 0.89442719100, 0.44721359550, 0.00000000000],
20283  [-0.44721359550, -0.44721359550, 0.77459666924],
20284  [-0.44721359550, -0.44721359550, -0.77459666924],
20285  [ 0.44721359550, -0.44721359550, 0.77459666924],
20286  [ 0.44721359550, -0.44721359550, -0.77459666924],
20287  [ 0.89442719100, -0.44721359550, 0.00000000000]
20288  ],
20289  [
20290  [1.00000000000, 153.43494882291, 89.99999999994],
20291  [1.00000000000, 135.00000000000, 39.23152048360],
20292  [1.00000000000, 135.00000000000, 140.76847951642],
20293  [1.00000000000, 45.00000000000, 39.23152048360],
20294  [1.00000000000, 45.00000000000, 140.76847951642],
20295  [1.00000000000, -153.43494882291, 89.99999999994],
20296  [1.00000000000, 26.56505117708, 89.99999999994],
20297  [1.00000000000, -134.99999999998, 39.23152048360],
20298  [1.00000000000, -134.99999999998, 140.76847951642],
20299  [1.00000000000, -44.99999999999, 39.23152048360],
20300  [1.00000000000, -44.99999999999, 140.76847951642],
20301  [1.00000000000, -26.56505117707, 89.99999999994]
20302  ],
20303  [
20304  [11,10,8,5,7,9],
20305  [0,2,4,6,3,1],
20306  [0,5,8,2],
20307  [1,7,5,0],
20308  [3,9,7,1],
20309  [6,11,9,3],
20310  [4,10,11,6],
20311  [2,8,10,4]
20312  ],
20313  [
20314  [0,1],
20315  [0,2],
20316  [0,5],
20317  [1,3],
20318  [1,7],
20319  [2,4],
20320  [2,8],
20321  [3,6],
20322  [3,9],
20323  [4,6],
20324  [4,10],
20325  [5,7],
20326  [5,8],
20327  [6,11],
20328  [7,9],
20329  [8,10],
20330  [9,11],
20331  [10,11]
20332  ]
20333  ],
20334  [
20335  "prisms_octagonal_prism",
20336  "Octagonal Prism",
20337  empty_str,
20338  "prisms",
20339  "Polyhedron Database #25",
20340  [
20341  [-0.86285620946, 0.35740674434, 0.35740674434],
20342  [-0.86285620946, 0.35740674434, -0.35740674434],
20343  [-0.35740674434, 0.35740674434, 0.86285620946],
20344  [-0.35740674434, 0.35740674434, -0.86285620946],
20345  [-0.86285620946, -0.35740674434, 0.35740674434],
20346  [-0.86285620946, -0.35740674434, -0.35740674434],
20347  [-0.35740674434, -0.35740674434, 0.86285620946],
20348  [ 0.35740674434, 0.35740674434, 0.86285620946],
20349  [-0.35740674434, -0.35740674434, -0.86285620946],
20350  [ 0.35740674434, 0.35740674434, -0.86285620946],
20351  [ 0.86285620946, 0.35740674434, 0.35740674434],
20352  [ 0.86285620946, 0.35740674434, -0.35740674434],
20353  [ 0.35740674434, -0.35740674434, 0.86285620946],
20354  [ 0.35740674434, -0.35740674434, -0.86285620946],
20355  [ 0.86285620946, -0.35740674434, 0.35740674434],
20356  [ 0.86285620946, -0.35740674434, -0.35740674434]
20357  ],
20358  [
20359  [1.00000000000, 157.50000000001, 69.05897952780],
20360  [1.00000000000, 157.50000000001, 110.94102047226],
20361  [1.00000000000, 134.99999999999, 30.36119340482],
20362  [1.00000000000, 134.99999999999, 149.63880659514],
20363  [1.00000000000, -157.50000000001, 69.05897952780],
20364  [1.00000000000, -157.50000000001, 110.94102047226],
20365  [1.00000000000, -134.99999999999, 30.36119340482],
20366  [1.00000000000, 45.00000000000, 30.36119340482],
20367  [1.00000000000, -134.99999999999, 149.63880659514],
20368  [1.00000000000, 45.00000000000, 149.63880659514],
20369  [1.00000000000, 22.49999999998, 69.05897952780],
20370  [1.00000000000, 22.49999999998, 110.94102047226],
20371  [1.00000000000, -45.00000000000, 30.36119340482],
20372  [1.00000000000, -45.00000000000, 149.63880659514],
20373  [1.00000000000, -22.49999999998, 69.05897952780],
20374  [1.00000000000, -22.49999999998, 110.94102047226]
20375  ],
20376  [
20377  [14,15,13,8,5,4,6,12],
20378  [0,1,3,9,11,10,7,2],
20379  [1,5,8,3],
20380  [0,4,5,1],
20381  [2,6,4,0],
20382  [7,12,6,2],
20383  [10,14,12,7],
20384  [11,15,14,10],
20385  [9,13,15,11],
20386  [3,8,13,9]
20387  ],
20388  [
20389  [0,1],
20390  [0,2],
20391  [0,4],
20392  [1,3],
20393  [1,5],
20394  [2,6],
20395  [2,7],
20396  [3,8],
20397  [3,9],
20398  [4,5],
20399  [4,6],
20400  [5,8],
20401  [6,12],
20402  [7,10],
20403  [7,12],
20404  [8,13],
20405  [9,11],
20406  [9,13],
20407  [10,11],
20408  [10,14],
20409  [11,15],
20410  [12,14],
20411  [13,15],
20412  [14,15]
20413  ]
20414  ],
20415  [
20416  "prisms_pentagonal_prism",
20417  "Pentagonal Prism",
20418  empty_str,
20419  "prisms",
20420  "Polyhedron Database #23",
20421  [
20422  [-0.81990936291, -0.50673185397, -0.26640470114],
20423  [-0.81990936291, 0.50673185397, -0.26640470114],
20424  [-0.50673185397, -0.50673185397, 0.69745656233],
20425  [-0.50673185397, 0.50673185397, 0.69745656233],
20426  [ 0.00000000000, -0.50673185397, -0.86210372240],
20427  [ 0.00000000000, 0.50673185397, -0.86210372240],
20428  [ 0.50673185397, -0.50673185397, 0.69745656233],
20429  [ 0.50673185397, 0.50673185397, 0.69745656233],
20430  [ 0.81990936291, -0.50673185397, -0.26640470114],
20431  [ 0.81990936291, 0.50673185397, -0.26640470114]
20432  ],
20433  [
20434  [1.00000000000, -148.28252558848, 105.45043708638],
20435  [1.00000000000, 148.28252558848, 105.45043708638],
20436  [1.00000000000, -134.99999999999, 45.77670183604],
20437  [1.00000000000, 134.99999999999, 45.77670183604],
20438  [1.00000000000, -89.99999999999, 149.55361568293],
20439  [1.00000000000, 89.99999999999, 149.55361568293],
20440  [1.00000000000, -45.00000000000, 45.77670183604],
20441  [1.00000000000, 45.00000000000, 45.77670183604],
20442  [1.00000000000, -31.71747441151, 105.45043708638],
20443  [1.00000000000, 31.71747441151, 105.45043708638]
20444  ],
20445  [
20446  [8,4,0,2,6],
20447  [1,5,9,7,3],
20448  [1,0,4,5],
20449  [3,2,0,1],
20450  [7,6,2,3],
20451  [9,8,6,7],
20452  [5,4,8,9]
20453  ],
20454  [
20455  [0,1],
20456  [0,2],
20457  [0,4],
20458  [1,3],
20459  [1,5],
20460  [2,3],
20461  [2,6],
20462  [3,7],
20463  [4,5],
20464  [4,8],
20465  [5,9],
20466  [6,7],
20467  [6,8],
20468  [7,9],
20469  [8,9]
20470  ]
20471  ],
20472  [
20473  "prisms_square_prism",
20474  "Square Prism",
20475  "Cube",
20476  "prisms",
20477  "Polyhedron Database #1",
20478  [
20479  [-0.57735026919, -0.57735026919, -0.57735026919],
20480  [-0.57735026919, -0.57735026919, 0.57735026919],
20481  [-0.57735026919, 0.57735026919, -0.57735026919],
20482  [-0.57735026919, 0.57735026919, 0.57735026919],
20483  [ 0.57735026919, -0.57735026919, -0.57735026919],
20484  [ 0.57735026919, -0.57735026919, 0.57735026919],
20485  [ 0.57735026919, 0.57735026919, -0.57735026919],
20486  [ 0.57735026919, 0.57735026919, 0.57735026919]
20487  ],
20488  [
20489  [1.00000000000, -134.99999999999, 125.26438968275],
20490  [1.00000000000, -134.99999999999, 54.73561031724],
20491  [1.00000000000, 134.99999999999, 125.26438968275],
20492  [1.00000000000, 134.99999999999, 54.73561031724],
20493  [1.00000000000, -45.00000000000, 125.26438968275],
20494  [1.00000000000, -45.00000000000, 54.73561031724],
20495  [1.00000000000, 45.00000000000, 125.26438968275],
20496  [1.00000000000, 45.00000000000, 54.73561031724]
20497  ],
20498  [
20499  [5,4,0,1],
20500  [7,5,1,3],
20501  [1,0,2,3],
20502  [4,6,2,0],
20503  [7,6,4,5],
20504  [3,2,6,7]
20505  ],
20506  [
20507  [0,1],
20508  [0,2],
20509  [0,4],
20510  [1,3],
20511  [1,5],
20512  [2,3],
20513  [2,6],
20514  [3,7],
20515  [4,5],
20516  [4,6],
20517  [5,7],
20518  [6,7]
20519  ]
20520  ],
20521  [
20522  "prisms_triangular_prism",
20523  "Triangular Prism",
20524  empty_str,
20525  "prisms",
20526  "Polyhedron Database #22",
20527  [
20528  [-0.65465367071, -0.65465367071, 0.37796447301],
20529  [-0.65465367071, 0.65465367071, 0.37796447301],
20530  [ 0.00000000000, -0.65465367071, -0.75592894602],
20531  [ 0.00000000000, 0.65465367071, -0.75592894602],
20532  [ 0.65465367071, -0.65465367071, 0.37796447301],
20533  [ 0.65465367071, 0.65465367071, 0.37796447301]
20534  ],
20535  [
20536  [1.00000000000, -134.99999999999, 67.79234570143],
20537  [1.00000000000, 134.99999999999, 67.79234570143],
20538  [1.00000000000, -89.99999999999, 139.10660535081],
20539  [1.00000000000, 89.99999999999, 139.10660535081],
20540  [1.00000000000, -45.00000000000, 67.79234570143],
20541  [1.00000000000, 45.00000000000, 67.79234570143]
20542  ],
20543  [
20544  [2,0,4],
20545  [3,5,1],
20546  [1,0,2,3],
20547  [5,4,0,1],
20548  [3,2,4,5]
20549  ],
20550  [
20551  [0,1],
20552  [0,2],
20553  [0,4],
20554  [1,3],
20555  [1,5],
20556  [2,3],
20557  [2,4],
20558  [3,5],
20559  [4,5]
20560  ]
20561  ],
20562  [
20563  "pyramids_pentagonal_dipyramid",
20564  "Pentagonal Dipyramid",
20565  "J13",
20566  "pyramids",
20567  "Polyhedron Database #57",
20568  [
20569  [ 0.00000000000, 0.61803398875, 0.00000000000],
20570  [ 0.00000000000, -0.00000000000, 1.00000000000],
20571  [ 0.95105651630, -0.00000000000, 0.30901699437],
20572  [-0.95105651630, -0.00000000000, 0.30901699437],
20573  [ 0.58778525229, 0.00000000000, -0.80901699437],
20574  [-0.58778525229, -0.00000000000, -0.80901699437],
20575  [ 0.00000000000, -0.61803398875, 0.00000000000]
20576  ],
20577  [
20578  [0.61803398875, 89.99999999999, 89.99999999999],
20579  [1.00000000000, -0.00000000000, 0.00000000000],
20580  [1.00000000000, -0.00000000000, 72.00000000000],
20581  [1.00000000000, -179.99999999999, 72.00000000000],
20582  [1.00000000000, 0.00000000000, 143.99999999999],
20583  [1.00000000000, -179.99999999999, 143.99999999999],
20584  [0.61803398875, -89.99999999999, 89.99999999999]
20585  ],
20586  [
20587  [0,2,1],
20588  [0,5,4],
20589  [0,4,2],
20590  [0,1,3],
20591  [0,3,5],
20592  [6,1,2],
20593  [6,4,5],
20594  [6,2,4],
20595  [6,3,1],
20596  [6,5,3]
20597  ],
20598  [
20599  [0,1],
20600  [0,2],
20601  [0,3],
20602  [0,4],
20603  [0,5],
20604  [1,2],
20605  [1,3],
20606  [1,6],
20607  [2,4],
20608  [2,6],
20609  [3,5],
20610  [3,6],
20611  [4,5],
20612  [4,6],
20613  [5,6]
20614  ]
20615  ],
20616  [
20617  "pyramids_pentagonal_pyramid",
20618  "Pentagonal Pyramid",
20619  "J2",
20620  "pyramids",
20621  "Polyhedron Database #46",
20622  [
20623  [ 0.00000000000, 0.51231760759, 0.00000000000],
20624  [ 0.00000000000, -0.10246352152, 0.99473676254],
20625  [ 0.94605088002, -0.10246352152, 0.30739056456],
20626  [-0.94605088002, -0.10246352152, 0.30739056456],
20627  [ 0.58469159894, -0.10246352152, -0.80475894583],
20628  [-0.58469159894, -0.10246352152, -0.80475894583]
20629  ],
20630  [
20631  [0.51231760759, 89.99999999999, 89.99999999999],
20632  [1.00000000000, -89.99999999999, 5.88104874729],
20633  [1.00000000000, -6.18141426337, 72.09795604403],
20634  [1.00000000000, -173.81858573661, 72.09795604404],
20635  [1.00000000000, -9.93979324212, 143.58698182134],
20636  [1.00000000000, -170.06020675786, 143.58698182134]
20637  ],
20638  [
20639  [0,2,1],
20640  [0,5,4],
20641  [0,4,2],
20642  [0,1,3],
20643  [0,3,5],
20644  [1,2,4,5,3]
20645  ],
20646  [
20647  [0,1],
20648  [0,2],
20649  [0,3],
20650  [0,4],
20651  [0,5],
20652  [1,2],
20653  [1,3],
20654  [2,4],
20655  [3,5],
20656  [4,5]
20657  ]
20658  ],
20659  [
20660  "pyramids_square_dipryamid",
20661  "Square Dipryamid",
20662  "Octahedron",
20663  "pyramids",
20664  "Exact Mathematics",
20665  [
20666  [ 0.00000000000, 1.00000000000, 0.00000000000],
20667  [-1.00000000000, 0.00000000000, 0.00000000000],
20668  [ 0.00000000000, 0.00000000000, -1.00000000000],
20669  [ 1.00000000000, 0.00000000000, 0.00000000000],
20670  [ 0.00000000000, 0.00000000000, 1.00000000000],
20671  [ 0.00000000000, -1.00000000000, 0.00000000000]
20672  ],
20673  [
20674  [1.00000000000, 89.99999999999, 89.99999999999],
20675  [1.00000000000, 179.99999999999, 89.99999999999],
20676  [1.00000000000, 0.00000000000, 179.99999999999],
20677  [1.00000000000, 0.00000000000, 89.99999999999],
20678  [1.00000000000, 0.00000000000, 0.00000000000],
20679  [1.00000000000, -89.99999999999, 89.99999999999]
20680  ],
20681  [
20682  [0,1,2],
20683  [0,2,3],
20684  [0,3,4],
20685  [0,4,1],
20686  [5,2,1],
20687  [5,3,2],
20688  [5,4,3],
20689  [5,1,4]
20690  ],
20691  [
20692  [0,1],
20693  [0,2],
20694  [0,3],
20695  [0,4],
20696  [1,2],
20697  [1,4],
20698  [1,5],
20699  [2,3],
20700  [2,5],
20701  [3,4],
20702  [3,5],
20703  [4,5]
20704  ]
20705  ],
20706  [
20707  "pyramids_square_pyramid",
20708  "Square Pyramid",
20709  "J1",
20710  "pyramids",
20711  "Exact Mathematics",
20712  [
20713  [ 0.00000000000, 1.00000000000, 0.00000000000],
20714  [-1.00000000000, 0.00000000000, 0.00000000000],
20715  [ 0.00000000000, 0.00000000000, -1.00000000000],
20716  [ 1.00000000000, 0.00000000000, 0.00000000000],
20717  [ 0.00000000000, 0.00000000000, 1.00000000000]
20718  ],
20719  [
20720  [1.00000000000, 89.99999999999, 89.99999999999],
20721  [1.00000000000, 179.99999999999, 89.99999999999],
20722  [1.00000000000, 0.00000000000, 179.99999999999],
20723  [1.00000000000, 0.00000000000, 89.99999999999],
20724  [1.00000000000, 0.00000000000, 0.00000000000]
20725  ],
20726  [
20727  [0,1,2],
20728  [0,2,3],
20729  [0,3,4],
20730  [0,4,1],
20731  [4,3,2,1]
20732  ],
20733  [
20734  [0,1],
20735  [0,2],
20736  [0,3],
20737  [0,4],
20738  [1,2],
20739  [1,4],
20740  [2,3],
20741  [3,4]
20742  ]
20743  ],
20744  [
20745  "pyramids_triangular_dipyramid",
20746  "Triangular Dipyramid",
20747  "J12",
20748  "pyramids",
20749  "Exact Mathematics",
20750  [
20751  [ 0.00000000000, 1.00000000000, 0.00000000000],
20752  [-0.61237243570, 0.00000000000, 0.35355339059],
20753  [ 0.61237243570, 0.00000000000, 0.35355339059],
20754  [ 0.00000000000, 0.00000000000, -0.70710678119],
20755  [ 0.00000000000, -1.00000000000, 0.00000000000]
20756  ],
20757  [
20758  [1.00000000000, 89.99999999999, 89.99999999999],
20759  [0.70710678119, 179.99999999999, 59.99999999999],
20760  [0.70710678119, 0.00000000000, 59.99999999999],
20761  [0.70710678119, 0.00000000000, 179.99999999999],
20762  [1.00000000000, -89.99999999999, 89.99999999999]
20763  ],
20764  [
20765  [0,2,1],
20766  [0,1,3],
20767  [0,3,2],
20768  [4,1,2],
20769  [4,3,1],
20770  [4,2,3]
20771  ],
20772  [
20773  [0,1],
20774  [0,2],
20775  [0,3],
20776  [1,2],
20777  [1,3],
20778  [1,4],
20779  [2,3],
20780  [2,4],
20781  [3,4]
20782  ]
20783  ],
20784  [
20785  "pyramids_triangular_pyramid",
20786  "Triangular Pyramid",
20787  "Tetrahedron",
20788  "pyramids",
20789  "Exact Mathematics",
20790  [
20791  [ 0.00000000000, 1.00000000000, 0.00000000000],
20792  [-0.81649658093, -0.33333333333, 0.47140452079],
20793  [ 0.81649658093, -0.33333333333, 0.47140452079],
20794  [-0.00000000000, -0.33333333333, -0.94280904158]
20795  ],
20796  [
20797  [1.00000000000, 89.99999999999, 89.99999999999],
20798  [1.00000000000, -157.79234570139, 61.87449429794],
20799  [1.00000000000, -22.20765429859, 61.87449429794],
20800  [1.00000000000, -89.99999999999, 160.52877936550]
20801  ],
20802  [
20803  [0,2,1],
20804  [0,1,3],
20805  [0,3,2],
20806  [1,2,3]
20807  ],
20808  [
20809  [0,1],
20810  [0,2],
20811  [0,3],
20812  [1,2],
20813  [1,3],
20814  [2,3]
20815  ]
20816  ],
20817  [
20818  "trapezohedron_decagonal_trapezohedron",
20819  "Decagonal Trapezohedron",
20820  empty_str,
20821  "trapezohedron",
20822  "George W. Hart, 1997. george@li.net",
20823  [
20824  [ 0.08157055488, -0.02508562274, 0.26071794615],
20825  [-0.00298807954, 0.02508563214, 0.27316418436],
20826  [-0.08725421480, -0.02508563451, 0.25887120879],
20827  [-0.00000000660, -0.99999999536, -0.00000000747],
20828  [ 0.21923812649, -0.02508563811, 0.16297927459],
20829  [ 0.15814447884, 0.02508563160, 0.22275080640],
20830  [-0.00000000000, 1.00000000000, -0.00000000000],
20831  [-0.16297928808, 0.02508564700, 0.21923811357],
20832  [-0.22275082301, -0.02508562356, 0.15814446589],
20833  [ 0.27316413424, -0.02508562845, 0.00298807495],
20834  [ 0.25887121980, 0.02508563643, 0.08725421294],
20835  [-0.26071794390, 0.02508563415, 0.08157054936],
20836  [-0.27316412166, -0.02508563048, -0.00298808116],
20837  [ 0.22275080881, -0.02508563042, -0.15814448224],
20838  [ 0.26071794489, 0.02508562885, -0.08157054801],
20839  [-0.25887121794, 0.02508563696, -0.08725420881],
20840  [-0.21923811508, -0.02508563337, -0.16297929533],
20841  [ 0.08725419904, -0.02508564175, -0.25887120317],
20842  [ 0.16297928994, 0.02508562639, -0.21923810944],
20843  [-0.15814447873, 0.02508562100, -0.22275080783],
20844  [-0.08157054158, -0.02508562972, -0.26071793387],
20845  [ 0.00298807400, 0.02508561395, -0.27316415966]
20846  ],
20847  [
20848  [0.27432989509, -17.09438091172, 18.12481356295],
20849  [0.27432989114, 96.79279130227, 5.28383970309],
20850  [0.27432989228, -163.96002773134, 19.32627339448],
20851  [0.99999999536, -90.00000037787, 90.00000042785],
20852  [0.27432989135, -6.52750264244, 53.55152986257],
20853  [0.27432988692, 9.01343241109, 35.71001165929],
20854  [1.00000000000, 89.99999999999, 89.99999999999],
20855  [0.27432988986, 171.24974747226, 36.94842526900],
20856  [0.27432989220, -173.57456962451, 54.79697096798],
20857  [0.27432984085, -5.24695718319, 89.37590650495],
20858  [0.27432990225, 5.53490397494, 71.45417161203],
20859  [0.27432989235, 174.50406060693, 72.70180860768],
20860  [0.27432982858, -174.75304215454, 90.62409482042],
20861  [0.27432989072, -6.42543252564, 125.20303342952],
20862  [0.27432989240, 5.49593821872, 107.29819109356],
20863  [0.27432989923, 174.46509587012, 108.54582768974],
20864  [0.27432989412, -173.47249824405, 126.44847509514],
20865  [0.27432988263, -16.03997941196, 160.67372880945],
20866  [0.27432988578, 8.75024535050, 143.05157442959],
20867  [0.27432988704, 170.98657132818, 144.28998881634],
20868  [0.27432988010, -162.90561198533, 161.87518775511],
20869  [0.27432986483, 83.20721630672, 174.71616371452]
20870  ],
20871  [
20872  [2,1,0,3],
20873  [5,4,3,0],
20874  [6,5,0,1],
20875  [7,6,1,2],
20876  [8,7,2,3],
20877  [10,9,3,4],
20878  [6,10,4,5],
20879  [8,11,6,7],
20880  [12,11,8,3],
20881  [14,13,3,9],
20882  [6,14,9,10],
20883  [12,15,6,11],
20884  [16,15,12,3],
20885  [18,17,3,13],
20886  [6,18,13,14],
20887  [16,19,6,15],
20888  [20,19,16,3],
20889  [21,20,3,17],
20890  [6,21,17,18],
20891  [20,21,6,19]
20892  ],
20893  [
20894  [0,1],
20895  [0,3],
20896  [0,5],
20897  [1,2],
20898  [1,6],
20899  [2,3],
20900  [2,7],
20901  [3,4],
20902  [3,8],
20903  [3,9],
20904  [3,12],
20905  [3,13],
20906  [3,16],
20907  [3,17],
20908  [3,20],
20909  [4,5],
20910  [4,10],
20911  [5,6],
20912  [6,7],
20913  [6,10],
20914  [6,11],
20915  [6,14],
20916  [6,15],
20917  [6,18],
20918  [6,19],
20919  [6,21],
20920  [7,8],
20921  [8,11],
20922  [9,10],
20923  [9,14],
20924  [11,12],
20925  [12,15],
20926  [13,14],
20927  [13,18],
20928  [15,16],
20929  [16,19],
20930  [17,18],
20931  [17,21],
20932  [19,20],
20933  [20,21]
20934  ]
20935  ],
20936  [
20937  "trapezohedron_enneagonal_trapezohedron",
20938  "Enneagonal Trapezohedron",
20939  empty_str,
20940  "trapezohedron",
20941  "George W. Hart, 1997. george@li.net",
20942  [
20943  [ 0.09967569853, -0.03109121041, 0.28700473236],
20944  [-0.00449688147, 0.03109120560, 0.30378732765],
20945  [-0.10812707432, -0.03109120337, 0.28392868530],
20946  [-0.00000000000, -1.00000000000, -0.00000000000],
20947  [ 0.26083909572, -0.03109119912, 0.15578806357],
20948  [ 0.19182591719, 0.03109121011, 0.23560511930],
20949  [ 0.00000000000, 1.00000000000, 0.00000000000],
20950  [-0.19871552184, 0.03109120431, 0.22982403661],
20951  [-0.26533596988, -0.03109120286, 0.14799923301],
20952  [ 0.29995285209, -0.03109119664, -0.04832353760],
20953  [ 0.29839124041, 0.03109120428, 0.05718066821],
20954  [-0.29995285209, 0.03109119664, 0.04832353760],
20955  [-0.29839124041, -0.03109120428, -0.05718066821],
20956  [ 0.19871552184, -0.03109120431, -0.22982403661],
20957  [ 0.26533596988, 0.03109120286, -0.14799923301],
20958  [-0.26083909572, 0.03109119912, -0.15578806357],
20959  [-0.19182591719, -0.03109121011, -0.23560511930],
20960  [ 0.00449688147, -0.03109120560, -0.30378732765],
20961  [ 0.10812707432, 0.03109120337, -0.28392868530],
20962  [-0.09967569853, 0.03109121041, -0.28700473236]
20963  ],
20964  [
20965  [0.30540730941, -17.32393663862, 19.99136596564],
20966  [0.30540731073, 98.22991277939, 5.90398591727],
20967  [0.30540731076, -163.95777128867, 21.61622610532],
20968  [1.00000000000, -89.99999999999, 89.99999999999],
20969  [0.30540729734, -6.79740536654, 59.32955244196],
20970  [0.30540729869, 9.20645860564, 39.51611872633],
20971  [1.00000000000, 89.99999999999, 89.99999999999],
20972  [0.30540728448, 171.10754696024, 41.19115786195],
20973  [0.30540728999, -173.31674427607, 61.01397561204],
20974  [0.30540717128, -5.91778120996, 99.10397657184],
20975  [0.30540730861, 5.94853149631, 79.20896763446],
20976  [0.30540717128, 174.08221879003, 80.89602342815],
20977  [0.30540730861, -174.05146850368, 100.79103236553],
20978  [0.30540728448, -8.89245303975, 138.80884213804],
20979  [0.30540728999, 6.68325572392, 118.98602438795],
20980  [0.30540729734, 173.20259463344, 120.67044755803],
20981  [0.30540729869, -170.79354139435, 140.48388127366],
20982  [0.30540731073, -81.77008722060, 174.09601408272],
20983  [0.30540731076, 16.04222871132, 158.38377389467],
20984  [0.30540730941, 162.67606336137, 160.00863403435]
20985  ],
20986  [
20987  [2,1,0,3],
20988  [5,4,3,0],
20989  [6,5,0,1],
20990  [7,6,1,2],
20991  [8,7,2,3],
20992  [10,9,3,4],
20993  [6,10,4,5],
20994  [8,11,6,7],
20995  [12,11,8,3],
20996  [14,13,3,9],
20997  [6,14,9,10],
20998  [12,15,6,11],
20999  [16,15,12,3],
21000  [18,17,3,13],
21001  [6,18,13,14],
21002  [16,19,6,15],
21003  [17,19,16,3],
21004  [6,19,17,18]
21005  ],
21006  [
21007  [0,1],
21008  [0,3],
21009  [0,5],
21010  [1,2],
21011  [1,6],
21012  [2,3],
21013  [2,7],
21014  [3,4],
21015  [3,8],
21016  [3,9],
21017  [3,12],
21018  [3,13],
21019  [3,16],
21020  [3,17],
21021  [4,5],
21022  [4,10],
21023  [5,6],
21024  [6,7],
21025  [6,10],
21026  [6,11],
21027  [6,14],
21028  [6,15],
21029  [6,18],
21030  [6,19],
21031  [7,8],
21032  [8,11],
21033  [9,10],
21034  [9,14],
21035  [11,12],
21036  [12,15],
21037  [13,14],
21038  [13,18],
21039  [15,16],
21040  [16,19],
21041  [17,18],
21042  [17,19]
21043  ]
21044  ],
21045  [
21046  "trapezohedron_heptagonal_trapezohedron",
21047  "Heptagonal Trapezohedron",
21048  empty_str,
21049  "trapezohedron",
21050  "George W. Hart, 1997. george@li.net",
21051  [
21052  [ 0.15933687369, -0.05209510052, 0.35802671535],
21053  [-0.01178440532, 0.05209506563, 0.39170460464],
21054  [-0.18057162842, -0.05209509977, 0.34780059309],
21055  [ 0.00000000000, -1.00000000000, 0.00000000000],
21056  [ 0.37926145196, -0.05209508876, 0.09865141109],
21057  [ 0.29889951735, 0.05209507083, 0.25343724148],
21058  [-0.00000000000, 1.00000000000, -0.00000000000],
21059  [-0.31359442195, 0.05209507236, 0.23501040648],
21060  [-0.38450602213, -0.05209507830, 0.07567352614],
21061  [ 0.31359442195, -0.05209507236, -0.23501040648],
21062  [ 0.38450602213, 0.05209507830, -0.07567352614],
21063  [-0.37926145196, 0.05209508876, -0.09865141109],
21064  [-0.29889951735, -0.05209507083, -0.25343724148],
21065  [ 0.01178440532, -0.05209506563, -0.39170460464],
21066  [ 0.18057162842, 0.05209509977, -0.34780059309],
21067  [-0.15933687369, 0.05209510052, -0.35802671535]
21068  ],
21069  [
21070  [0.39532931553, -18.10512730588, 25.09015092726],
21071  [0.39532931256, 102.74633327200, 7.76474182503],
21072  [0.39532931205, -163.90709508767, 28.38484324140],
21073  [1.00000000000, -89.99999999999, 89.99999999999],
21074  [0.39532929075, -7.82116460645, 75.54956589793],
21075  [0.39532929722, 9.88674610587, 50.12768809629],
21076  [1.00000000000, 89.99999999999, 89.99999999999],
21077  [0.39532929211, 170.56801928124, 53.52532102116],
21078  [0.39532930678, -172.28422195910, 78.96439512595],
21079  [0.39532929211, -9.43198071875, 126.47467897883],
21080  [0.39532930678, 7.71577804089, 101.03560487404],
21081  [0.39532929075, 172.17883539354, 104.45043410206],
21082  [0.39532929722, -170.11325389411, 129.87231190370],
21083  [0.39532931256, -77.25366672798, 172.23525817496],
21084  [0.39532931205, 16.09290491232, 151.61515675859],
21085  [0.39532931553, 161.89487269411, 154.90984907273]
21086  ],
21087  [
21088  [2,1,0,3],
21089  [5,4,3,0],
21090  [6,5,0,1],
21091  [7,6,1,2],
21092  [8,7,2,3],
21093  [10,9,3,4],
21094  [6,10,4,5],
21095  [8,11,6,7],
21096  [12,11,8,3],
21097  [14,13,3,9],
21098  [6,14,9,10],
21099  [12,15,6,11],
21100  [13,15,12,3],
21101  [6,15,13,14]
21102  ],
21103  [
21104  [0,1],
21105  [0,3],
21106  [0,5],
21107  [1,2],
21108  [1,6],
21109  [2,3],
21110  [2,7],
21111  [3,4],
21112  [3,8],
21113  [3,9],
21114  [3,12],
21115  [3,13],
21116  [4,5],
21117  [4,10],
21118  [5,6],
21119  [6,7],
21120  [6,10],
21121  [6,11],
21122  [6,14],
21123  [6,15],
21124  [7,8],
21125  [8,11],
21126  [9,10],
21127  [9,14],
21128  [11,12],
21129  [12,15],
21130  [13,14],
21131  [13,15]
21132  ]
21133  ],
21134  [
21135  "trapezohedron_hexagonal_trapezohedron",
21136  "Hexagonal Trapezohedron",
21137  empty_str,
21138  "trapezohedron",
21139  "George W. Hart, 1997. george@li.net",
21140  [
21141  [ 0.21077945274, -0.07179671220, 0.40719463133],
21142  [-0.02105696444, 0.07179681426, 0.45803062041],
21143  [-0.24725117903, -0.07179674075, 0.38613767351],
21144  [ 0.00000001746, -1.00000000000, -0.00000001939],
21145  [ 0.45803058721, -0.07179671638, 0.02105695657],
21146  [ 0.38613769213, 0.07179681752, 0.24725117466],
21147  [-0.00000000000, 0.99999999466, -0.00000000000],
21148  [-0.40719463483, 0.07179675601, 0.21077944864],
21149  [-0.45803063391, -0.07179678648, -0.02105696269],
21150  [ 0.24725117677, -0.07179676068, -0.38613770590],
21151  [ 0.40719468018, 0.07179677996, -0.21077948352],
21152  [-0.38613769009, 0.07179672747, -0.24725120767],
21153  [-0.21077946131, -0.07179681703, -0.40719467592],
21154  [ 0.02105695713, 0.07179664363, -0.45803045003]
21155  ],
21156  [
21157  [0.46410151192, -18.81011682832, 28.67176760585],
21158  [0.46410152717, 106.34564790761, 9.27753217454],
21159  [0.46410151952, -163.80777174223, 33.69410290051],
21160  [1.00000000000, -89.99999899976, 90.00000111118],
21161  [0.46410147891, -8.90867366573, 87.39951472962],
21162  [0.46410154456, 10.53305205986, 57.80839267192],
21163  [0.99999999466, 89.99999999999, 89.99999999999],
21164  [0.46410151990, 170.00036088461, 62.98866993565],
21165  [0.46410153612, -171.09131867014, 92.60048570555],
21166  [0.46410154835, -16.19223265656, 146.30589896998],
21167  [0.46410157924, 9.99964129133, 117.01133116296],
21168  [0.46410154652, 169.46696080222, 122.19161199084],
21169  [0.46410157115, -161.18985834971, 151.32823049523],
21170  [0.46410133229, 73.65432069463, 170.72248463514]
21171  ],
21172  [
21173  [2,1,0,3],
21174  [5,4,3,0],
21175  [6,5,0,1],
21176  [7,6,1,2],
21177  [8,7,2,3],
21178  [10,9,3,4],
21179  [6,10,4,5],
21180  [8,11,6,7],
21181  [12,11,8,3],
21182  [13,12,3,9],
21183  [6,13,9,10],
21184  [12,13,6,11]
21185  ],
21186  [
21187  [0,1],
21188  [0,3],
21189  [0,5],
21190  [1,2],
21191  [1,6],
21192  [2,3],
21193  [2,7],
21194  [3,4],
21195  [3,8],
21196  [3,9],
21197  [3,12],
21198  [4,5],
21199  [4,10],
21200  [5,6],
21201  [6,7],
21202  [6,10],
21203  [6,11],
21204  [6,13],
21205  [7,8],
21206  [8,11],
21207  [9,10],
21208  [9,13],
21209  [11,12],
21210  [12,13]
21211  ]
21212  ],
21213  [
21214  "trapezohedron_octagonal_trapezohedron",
21215  "Octagonal Trapezohedron",
21216  empty_str,
21217  "trapezohedron",
21218  "George W. Hart, 1997. george@li.net",
21219  [
21220  [ 0.12440374180, -0.03956610710, 0.31883630933],
21221  [-0.00707929049, 0.03956612081, 0.34217358778],
21222  [-0.13748458654, -0.03956612082, 0.31341805381],
21223  [ 0.00000000328, -0.99999999972, -0.00000000691],
21224  [ 0.31341805431, -0.03956611462, 0.13748458160],
21225  [ 0.23694744249, 0.03956612970, 0.24695906900],
21226  [ 0.00000000000, 1.00000000000, 0.00000000000],
21227  [-0.24695908004, 0.03956613350, 0.23694744807],
21228  [-0.31883629862, -0.03956614368, 0.12440375701],
21229  [ 0.31883630448, -0.03956613242, -0.12440374250],
21230  [ 0.34217360200, 0.03956614317, 0.00707928788],
21231  [-0.34217356974, 0.03956611153, -0.00707929452],
21232  [-0.31341804435, -0.03956612986, -0.13748455659],
21233  [ 0.13748456384, -0.03956610907, -0.31341806002],
21234  [ 0.24695907885, 0.03956612319, -0.23694744766],
21235  [-0.23694744654, 0.03956610486, -0.24695907595],
21236  [-0.12440376449, -0.03956612279, -0.31883631554],
21237  [ 0.00707928976, 0.03956611334, -0.34217359479]
21238  ],
21239  [
21240  [0.34452628340, -17.64305529000, 22.26612222536],
21241  [0.34452628121, 100.14419358069, 6.69971877848],
21242  [0.34452629204, -163.94492938135, 24.53507780455],
21243  [0.99999999972, -89.99999981201, 90.00000039578],
21244  [0.34452628981, -7.19499886627, 66.48094949675],
21245  [0.34452627024, 9.47994070259, 44.20846013907],
21246  [1.00000000000, 89.99999999999, 89.99999999999],
21247  [0.34452628242, 170.89780636105, 46.54785043727],
21248  [0.34452628318, -172.92601715801, 68.83306913392],
21249  [0.34452628207, -7.07398072018, 111.16692834963],
21250  [0.34452629784, 6.59591976996, 88.82260986090],
21251  [0.34452626231, 173.40408484199, 91.17739136390],
21252  [0.34452627252, -172.80499816432, 113.51904721890],
21253  [0.34452628728, -16.05506861288, 155.46492641463],
21254  [0.34452628011, 9.10219134903, 133.45214983518],
21255  [0.34452627515, 170.52006530125, 135.79154067723],
21256  [0.34452629914, -162.35694116392, 157.73387410580],
21257  [0.34452628730, 79.85580556086, 173.30028259374]
21258  ],
21259  [
21260  [2,1,0,3],
21261  [5,4,3,0],
21262  [6,5,0,1],
21263  [7,6,1,2],
21264  [8,7,2,3],
21265  [10,9,3,4],
21266  [6,10,4,5],
21267  [8,11,6,7],
21268  [12,11,8,3],
21269  [14,13,3,9],
21270  [6,14,9,10],
21271  [12,15,6,11],
21272  [16,15,12,3],
21273  [17,16,3,13],
21274  [6,17,13,14],
21275  [16,17,6,15]
21276  ],
21277  [
21278  [0,1],
21279  [0,3],
21280  [0,5],
21281  [1,2],
21282  [1,6],
21283  [2,3],
21284  [2,7],
21285  [3,4],
21286  [3,8],
21287  [3,9],
21288  [3,12],
21289  [3,13],
21290  [3,16],
21291  [4,5],
21292  [4,10],
21293  [5,6],
21294  [6,7],
21295  [6,10],
21296  [6,11],
21297  [6,14],
21298  [6,15],
21299  [6,17],
21300  [7,8],
21301  [8,11],
21302  [9,10],
21303  [9,14],
21304  [11,12],
21305  [12,15],
21306  [13,14],
21307  [13,17],
21308  [15,16],
21309  [16,17]
21310  ]
21311  ],
21312  [
21313  "trapezohedron_pentagonal_trapezohedron",
21314  "Pentagonal Trapezohedron",
21315  empty_str,
21316  "trapezohedron",
21317  "George W. Hart, 1997. george@li.net",
21318  [
21319  [ 0.29061700374, -0.10557280512, 0.47022819599],
21320  [-0.04127909262, 0.10557281662, 0.55124299653],
21321  [-0.35740800281, -0.10557280588, 0.42170170398],
21322  [ 0.00000000000, -1.00000000000, 0.00000000000],
21323  [ 0.53701907744, -0.10557277682, -0.13108468003],
21324  [ 0.51150729951, 0.10557282394, 0.20960220829],
21325  [-0.00000000000, 1.00000000000, -0.00000000000],
21326  [-0.53701907744, 0.10557277682, 0.13108468003],
21327  [-0.51150729951, -0.10557282394, -0.20960220829],
21328  [ 0.04127909262, -0.10557281662, -0.55124299653],
21329  [ 0.35740800281, 0.10557280588, -0.42170170398],
21330  [-0.29061700374, 0.10557280512, -0.47022819599]
21331  ],
21332  [
21333  [0.56277741279, -19.96462853971, 33.32693587180],
21334  [0.56277741988, 111.35555548884, 11.62015183686],
21335  [0.56277742044, -163.54367316283, 41.46828745750],
21336  [1.00000000000, -89.99999999999, 89.99999999999],
21337  [0.56277730416, -11.12196599899, 103.46931672415],
21338  [0.56277741988, 11.66183878548, 68.13367063006],
21339  [1.00000000000, 89.99999999999, 89.99999999999],
21340  [0.56277730416, 168.87803400100, 76.53068327584],
21341  [0.56277741988, -168.33816121451, 111.86632936993],
21342  [0.56277741988, -68.64444451115, 168.37984816312],
21343  [0.56277742044, 16.45632683715, 138.53171254249],
21344  [0.56277741279, 160.03537146028, 146.67306412819]
21345  ],
21346  [
21347  [2,1,0,3],
21348  [5,4,3,0],
21349  [6,5,0,1],
21350  [7,6,1,2],
21351  [8,7,2,3],
21352  [10,9,3,4],
21353  [6,10,4,5],
21354  [8,11,6,7],
21355  [9,11,8,3],
21356  [6,11,9,10]
21357  ],
21358  [
21359  [0,1],
21360  [0,3],
21361  [0,5],
21362  [1,2],
21363  [1,6],
21364  [2,3],
21365  [2,7],
21366  [3,4],
21367  [3,8],
21368  [3,9],
21369  [4,5],
21370  [4,10],
21371  [5,6],
21372  [6,7],
21373  [6,10],
21374  [6,11],
21375  [7,8],
21376  [8,11],
21377  [9,10],
21378  [9,11]
21379  ]
21380  ],
21381  [
21382  "trapezohedron_square_trapezohedron",
21383  "Square Trapezohedron",
21384  empty_str,
21385  "trapezohedron",
21386  "George W. Hart, 1997. george@li.net",
21387  [
21388  [ 0.42339344824, -0.17157294543, 0.55319018257],
21389  [-0.09178014666, 0.17157285464, 0.69054892905],
21390  [-0.55319020733, -0.17157287656, 0.42339344003],
21391  [-0.00000002205, -0.99999998335, -0.00000000805],
21392  [ 0.55319017981, -0.17157290218, -0.42339346671],
21393  [ 0.69054891796, 0.17157284736, 0.09178015628],
21394  [-0.00000000000, 1.00000000000, -0.00000000000],
21395  [-0.69054887577, 0.17157293950, -0.09178015299],
21396  [-0.42339347576, -0.17157283330, -0.55319020925],
21397  [ 0.09178018156, 0.17157289932, -0.69054887093]
21398  ],
21399  [
21400  [0.71743896305, -22.05940926920, 39.55061574902],
21401  [0.71743896130, 118.14383936173, 15.73644755891],
21402  [0.71743896083, -162.76863505583, 53.83265949178],
21403  [0.99999998335, -90.00000126364, 90.00000046134],
21404  [0.71743896148, -17.23136817104, 126.16734310920],
21405  [0.71743895011, 13.95309503880, 82.65015437581],
21406  [1.00000000000, 89.99999999999, 89.99999999999],
21407  [0.71743893111, 166.04689694206, 97.34984555507],
21408  [0.71743897305, -157.94060506039, 140.44938663065],
21409  [0.71743892050, 61.85615778289, 164.26354688847]
21410  ],
21411  [
21412  [2,1,0,3],
21413  [5,4,3,0],
21414  [6,5,0,1],
21415  [7,6,1,2],
21416  [8,7,2,3],
21417  [9,8,3,4],
21418  [6,9,4,5],
21419  [8,9,6,7]
21420  ],
21421  [
21422  [0,1],
21423  [0,3],
21424  [0,5],
21425  [1,2],
21426  [1,6],
21427  [2,3],
21428  [2,7],
21429  [3,4],
21430  [3,8],
21431  [4,5],
21432  [4,9],
21433  [5,6],
21434  [6,7],
21435  [6,9],
21436  [7,8],
21437  [8,9]
21438  ]
21439  ],
21440  [
21441  "trapezohedron_triangular_trapezohedron",
21442  "Triangular Trapezohedron",
21443  "Cube",
21444  "trapezohedron",
21445  "Exact Mathematics",
21446  [
21447  [ 0.00000000000, 1.00000000000, 0.00000000000],
21448  [ 0.00000000000, 0.33333333333, 0.94280904158],
21449  [-0.81649658093, 0.33333333333, -0.47140452079],
21450  [-0.81649658093, -0.33333333333, 0.47140452079],
21451  [ 0.81649658093, 0.33333333333, -0.47140452079],
21452  [ 0.81649658093, -0.33333333333, 0.47140452079],
21453  [-0.00000000000, -0.33333333333, -0.94280904158],
21454  [ 0.00000000000, -1.00000000000, 0.00000000000]
21455  ],
21456  [
21457  [1.00000000000, 89.99999999999, 89.99999999999],
21458  [1.00000000000, 89.99999999999, 19.47122063449],
21459  [1.00000000000, 157.79234570139, 118.12550570205],
21460  [1.00000000000, -157.79234570139, 61.87449429794],
21461  [1.00000000000, 22.20765429859, 118.12550570205],
21462  [1.00000000000, -22.20765429859, 61.87449429794],
21463  [1.00000000000, -89.99999999999, 160.52877936550],
21464  [1.00000000000, -89.99999999999, 89.99999999999]
21465  ],
21466  [
21467  [6,4,0,2],
21468  [5,1,0,4],
21469  [7,5,4,6],
21470  [1,3,2,0],
21471  [3,7,6,2],
21472  [7,3,1,5]
21473  ],
21474  [
21475  [0,1],
21476  [0,2],
21477  [0,4],
21478  [1,3],
21479  [1,5],
21480  [2,3],
21481  [2,6],
21482  [3,7],
21483  [4,5],
21484  [4,6],
21485  [5,7],
21486  [6,7]
21487  ]
21488  ]
21489 ];
21490 
21491 //! @}
21492 //! @}
21493 
21494 //----------------------------------------------------------------------------//
21495 // openscad-amu auxiliary scripts
21496 //----------------------------------------------------------------------------//
21497 
21498 /*
21499 BEGIN_SCOPE db;
21500 BEGIN_SCOPE autotest;
21501  BEGIN_OPENSCAD;
21502  include <math/math_polytope.scad>;
21503  include <units/units_coordinate.scad>;
21504  include <datatypes/datatypes_table.scad>;
21505  include <database/geometry/polyhedra/polyhedra_all.scad>;
21506 
21507  coordinates_positive_angles = false;
21508 
21509  tc = dtc_polyhedra_polyhedra_all;
21510  tr = dtr_polyhedra_polyhedra_all;
21511 
21512  log_echo("checking table: ");
21513  log_echo("colums = dtc_polyhedra_polyhedra_all");
21514  log_echo(" rows = dtr_polyhedra_polyhedra_all");
21515  table_check (tr, tc, verbose=true);
21516 
21517  echo();
21518  log_echo("confirming calculations stored in table:");
21519  log_echo(" (1) spherical with converted cartesian coordinates:");
21520  log_echo(" (2) edge list from faces definition:");
21521 
21522  for ( id = get_table_ridl( tr ) )
21523  {
21524  c = get_table_v(tr, tc, id, "c");
21525  s = get_table_v(tr, tc, id, "s");
21526  f = get_table_v(tr, tc, id, "f");
21527  e = get_table_v(tr, tc, id, "e");
21528 
21529  // convert stored spherical and compare with cartesian coordinates.
21530  for( i = [0 : len(c)-1] )
21531  {
21532  cc = convert_coordinate(s[i], from="s");
21533 
21534  if ( !n_almost_equal(c[i], cc) )
21535  {
21536  cs = convert_coordinate(c[i], to="s");
21537 
21538  n = get_table_v(tr, tc, id, "n");
21539  o = get_table_v(tr, tc, id, "o");
21540  g = get_table_v(tr, tc, id, "g");
21541  d = get_table_v(tr, tc, id, "d");
21542 
21543  log_warn("coordinate mismatch");
21544  log_info(str("id=", id,", n=", n, ", o=", o, ", g=", g, ", d=", d));
21545  echo(i=i, dt_c=c[i], c_c=cc, dt_s=s[i], c_s=cs);
21546  }
21547  }
21548 
21549  // re-create sorted edge list and compare with stored.
21550  ce = qsort2(polytope_faces2edges(f, d=1), d=1);
21551 
21552  if ( e != ce )
21553  {
21554  se = qsort2(e, d=1);
21555  if ( se == ce )
21556  {
21557  log_info(str("edge-list not sorted: id=", id));
21558  }
21559  else
21560  {
21561  n = get_table_v(tr, tc, id, "n");
21562  o = get_table_v(tr, tc, id, "o");
21563  g = get_table_v(tr, tc, id, "g");
21564  d = get_table_v(tr, tc, id, "d");
21565 
21566  log_warn("edge-list mismatch");
21567  log_info(str("id=", id,", n=", n, ", o=", o, ", g=", g, ", d=", d));
21568  echo(l=len(e), dt_e=e);
21569  echo(l=len(se), st_e=se);
21570  echo(l=len(ce), cl_e=ce);
21571  }
21572  }
21573  }
21574 
21575  echo();
21576  log_echo(str(get_table_size(tr)," polyhedra checked."));
21577 
21578  END_OPENSCAD;
21579 
21580  BEGIN_MFSCRIPT;
21581  include --path "${INCLUDE_PATH}" {config_base,config_csg}.mfs;
21582  include --path "${INCLUDE_PATH}" script_std.mfs;
21583  END_MFSCRIPT;
21584 END_SCOPE;
21585 END_SCOPE;
21586 */
21587 
21588 //----------------------------------------------------------------------------//
21589 // end of file
21590 //----------------------------------------------------------------------------//
dtr_polyhedra_polyhedra_all
dtr_polyhedra_polyhedra_all
Definition: polyhedra_all.scad:140
empty_str
empty_str
A string with no characters (the empty string).
Definition: constants.scad:77
dtc_polyhedra_polyhedra_all
dtc_polyhedra_polyhedra_all
Definition: polyhedra_all.scad:125