omdl  v0.9.5
OpenSCAD Mechanical Design Library
johnson.scad
Go to the documentation of this file.
1 //! Polyhedra data table: \c johnson.
2 /***************************************************************************//**
3  \file
4  \author Roy Allen Sutton
5  \date 2017-2023
6 
7  \copyright
8 
9  This file is part of [omdl] (https://github.com/royasutton/omdl),
10  an OpenSCAD mechanical design library.
11 
12  The \em omdl is free software; you can redistribute it and/or modify
13  it under the terms of the [GNU Lesser General Public License]
14  (http://www.gnu.org/licenses/lgpl.html) as published by the Free
15  Software Foundation; either version 2.1 of the License, or (at
16  your option) any later version.
17 
18  The \em omdl is distributed in the hope that it will be useful,
19  but WITHOUT ANY WARRANTY; without even the implied warranty of
20  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
21  Lesser General Public License for more details.
22 
23  You should have received a copy of the GNU Lesser General Public
24  License along with the \em omdl; if not, write to the Free Software
25  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
26  02110-1301, USA; or see <http://www.gnu.org/licenses/>.
27 
28  \details
29 
30  This [omdl] formatted data table has been assembled using a script
31  that converts the polyhedra data obtained from [Anthony Thyssen]'s
32  [Studies into Polyhedra]. The vertices are tabulated in both their
33  original Cartesian as well as their converted spherical coordinate
34  form, which is convenient when scaling. The data originates from
35  one of three sources:
36 
37  \li Exact Mathematics as presented by [Anthony Thyssen],
38  \li the [Polyhedron Database] maintained by [Netlib], and
39  \li an [Encyclopedia of Polyhedra] by [George W. Hart].
40 
41  [omdl]: https://github.com/royasutton/omdl
42 
43  [Anthony Thyssen]: http://www.ict.griffith.edu.au/anthony/anthony.html
44  [Studies into Polyhedra]: http://www.ict.griffith.edu.au/anthony/graphics/polyhedra
45 
46  [George W. Hart]: http://www.georgehart.com
47  [Encyclopedia of Polyhedra]: http://www.georgehart.com/virtual-polyhedra/vp.html
48 
49  [Netlib]: http://www.netlib.org
50  [Polyhedron Database]: http://www.netlib.org/polyhedra
51 
52  \amu_pathid parent (++path_parent)
53  \amu_pathid group (++path)
54 
55  \ingroup \amu_eval(${group})
56 *******************************************************************************/
57 
58 //----------------------------------------------------------------------------//
59 /***************************************************************************//**
60  \addtogroup \amu_eval(${group})
61  @{
62  <br>
63  ### Johnson ###
64  \amu_include (include/amu/includes_required.amu)
65 
66  \amu_eval
67  (
68  ++global
69  title="Examples"
70  stem=johnson scope=db_dim size=qvga view=diag
71  )
72 
73  \amu_define object_stem (${stem}_${scope}_${size}_${view}_${shape})
74  \amu_make files_png (append=db_dim extension=png)
75  \amu_make files_stl (append=db_dim extension=stl)
76  \amu_word files_cnt (words="${files_png}" ++count)
77  \amu_seq cell_num (prefix="(" suffix=")" last="${files_cnt}" ++number)
78  \amu_eval object_prefix (shape="" ${object_stem})
79  \amu_filename cell_txt (files="${files_png}" separator="^" ++stem)
80  \amu_replace cell_id (text="${cell_txt}" search="${object_prefix}" replace="id: ")
81  \amu_replace cell_end (text="${cell_txt}" search="${object_prefix}")
82  \amu_replace cell_end (text="${cell_end}" search="_" replace="<br>")
83  \amu_combine cell_end (p="<center>" s="</center>" j="" f="^" t="^" ${cell_end})
84 
85  \htmlonly
86  \amu_image_table
87  (
88  type=html columns=4 image_width="200" cell_files="${files_png}"
89  table_caption="${title}" cell_captions="${cell_num}"
90  cell_titles="${cell_id}" cell_end="${cell_end}"
91  cell_urls="${files_stl}"
92  )
93  \endhtmlonly
94 
95  \amu_make eps_files (append=db_dim extension=png2eps)
96 
97  \latexonly
98  \amu_image_table
99  (
100  type=latex columns=4 image_width="1.25in" cell_files="${eps_files}"
101  table_caption="${title}" cell_captions="${cell_num}"
102  )
103  \endlatexonly
104 
105  \b Autostats
106 
107  \amu_scope scope (index=1)
108  \amu_file heading (file="${scope}.log" last=1 ++rmecho ++rmnl ++read ++quiet)
109  \amu_file texts (file="${scope}.log" first=2 ++rmecho ++rmnl ++read ++quiet)
110  \amu_word columns (tokenizer="^" words="${heading}" ++count)
111 
112  \amu_table table
113  (
114  columns=${columns} column_headings="${heading}" cell_texts="${texts}"
115  )
116 
117  \amu_if ( -w ${heading} )
118  { ${table} }
119  else
120  { \note Statistics table not available. To build and include, remove
121  \c db_autostat from \c scopes_exclude in library makefile.
122  For more information see \ref lb. }
123  endif
124 *******************************************************************************/
125 //----------------------------------------------------------------------------//
126 
127 //! <map> \c johnson polyhedra data table columns definition.
128 //! \hideinitializer
129 dtc_polyhedra_johnson =
130 [
131  ["id", "identifier"],
132  ["n", "name"],
133  ["o", "other name"],
134  ["g", "group"],
135  ["d", "data source"],
136  ["c", "cartesian vertices"],
137  ["s", "spherical vertices"],
138  ["f", "faces"],
139  ["e", "edges"]
140 ];
141 
142 //! <table> \c johnson polyhedra data table rows.
143 //! \hideinitializer
144 dtr_polyhedra_johnson =
145 [
146  [
147  "augmented_dodecahedron",
148  "Augmented Dodecahedron",
149  "J58",
150  "johnson",
151  "Polyhedron Database #102",
152  [
153  [ 0.27773636804, 0.69088866138, -0.42699267518],
154  [ 0.47567343901, 0.14601464965, -0.69942968105],
155  [ 0.85065080835, 0.44721359550, -0.27639320225],
156  [-0.36280144887, 0.69088866138, -0.42699267518],
157  [-0.04253254042, -0.19073600920, -0.86780501047],
158  [ 0.47567343901, 0.69088866138, 0.18219498953],
159  [-0.56073851984, 0.14601464965, -0.69942968105],
160  [ 0.79594234746, -0.19073600920, -0.25861734576],
161  [ 0.79594234746, 0.14601464965, 0.28625666598],
162  [-0.56073851984, 0.69088866138, 0.18219498953],
163  [-0.04253254042, 0.69088866138, 0.55869367185],
164  [-0.04253254042, -0.73561002093, -0.53105435163],
165  [ 0.47567343901, -0.73561002093, -0.15455566931],
166  [-0.88100742830, -0.19073600920, -0.25861734576],
167  [-0.88100742830, 0.14601464965, 0.28625666598],
168  [ 0.47567343901, -0.19073600920, 0.72706900127],
169  [-0.56073851984, -0.73561002093, -0.15455566931],
170  [-0.04253254042, 0.14601464965, 0.89544433069],
171  [ 0.27773636804, -0.73561002093, 0.45463199540],
172  [-0.56073851984, -0.19073600920, 0.72706900127],
173  [-0.36280144888, -0.73561002093, 0.45463199540]
174  ],
175  [
176  [0.85836319656, 68.09993525174, 119.83142881234],
177  [0.85836319656, 17.06460429813, 144.57166127999],
178  [1.00000000000, 27.73230144769, 106.04505713531],
179  [0.88953627154, 117.70499212965, 118.68652279556],
180  [0.88953627154, -102.57081209745, 167.30927604114],
181  [0.85836319656, 55.45278028813, 77.74525379095],
182  [0.90826749599, 165.40447769496, 140.36018810267],
183  [0.85836319656, -13.47598249654, 107.53517687421],
184  [0.85836319656, 10.39525699122, 70.51917868900],
185  [0.90826749599, 129.06344822202, 78.42817586420],
186  [0.88953627154, 93.52280129087, 51.09190891299],
187  [0.90826749599, -93.30912412291, 125.78104858240],
188  [0.88953627154, -57.11175340200, 100.00584177064],
189  [0.93778315481, -167.78412914715, 106.00821689124],
190  [0.93778315481, 170.58956755276, 72.22690021815],
191  [0.88953627154, -21.84984732462, 35.17887830685],
192  [0.93778315481, -127.31743617720, 99.48617409343],
193  [0.90826749599, 106.24028907744, 9.63919240680],
194  [0.90826749599, -69.31550702301, 59.96370032475],
195  [0.93778315481, -161.21418990362, 39.16720701454],
196  [0.93778315481, -116.25242657785, 61.00099891251]
197  ],
198  [
199  [12,11,16,20,18],
200  [13,16,11,4,6],
201  [4,11,12,7,1],
202  [7,12,18,15,8],
203  [15,18,20,19,17],
204  [19,20,16,13,14],
205  [14,9,10,17,19],
206  [17,10,5,8,15],
207  [1,0,3,6,4],
208  [6,3,9,14,13],
209  [0,5,10,9,3],
210  [5,0,2],
211  [8,5,2],
212  [0,1,2],
213  [1,7,2],
214  [8,2,7]
215  ],
216  [
217  [0,1],
218  [0,2],
219  [0,3],
220  [0,5],
221  [1,2],
222  [1,4],
223  [1,7],
224  [2,5],
225  [2,7],
226  [2,8],
227  [3,6],
228  [3,9],
229  [4,6],
230  [4,11],
231  [5,8],
232  [5,10],
233  [6,13],
234  [7,8],
235  [7,12],
236  [8,15],
237  [9,10],
238  [9,14],
239  [10,17],
240  [11,12],
241  [11,16],
242  [12,18],
243  [13,14],
244  [13,16],
245  [14,19],
246  [15,17],
247  [15,18],
248  [16,20],
249  [17,19],
250  [18,20],
251  [19,20]
252  ]
253  ],
254  [
255  "augmented_hexagonal_prism",
256  "Augmented Hexagonal Prism",
257  "J54",
258  "johnson",
259  "Polyhedron Database #98",
260  [
261  [-0.76081614824, -0.34432368230, 0.04166666667],
262  [-0.41649246594, -0.34432368230, -0.55471944532],
263  [-0.76081614824, 0.34432368230, 0.04166666667],
264  [-0.41649246594, -0.34432368230, 0.63805277865],
265  [-0.41649246594, 0.34432368230, -0.55471944532],
266  [ 0.27215489865, -0.34432368230, -0.55471944532],
267  [-0.41649246594, 0.34432368230, 0.63805277865],
268  [ 0.27215489865, -0.34432368230, 0.63805277865],
269  [ 0.27215489865, 0.34432368230, -0.55471944532],
270  [ 0.61647858094, -0.34432368230, 0.04166666667],
271  [ 0.86602540378, 0.00000000000, -0.50000000000],
272  [ 0.27215489865, 0.34432368230, 0.63805277865],
273  [ 0.61647858094, 0.34432368230, 0.04166666667]
274  ],
275  [
276  [0.83614360054, -155.64984928691, 87.14365655167],
277  [0.77442781161, -140.41869582976, 135.74950155013],
278  [0.83614360054, 155.64984928692, 87.14365655166],
279  [0.83614360054, -140.41869582976, 40.26263642377],
280  [0.77442781161, 140.41869582977, 135.74950155013],
281  [0.70734768683, -51.67700624032, 141.64901851704],
282  [0.83614360054, 140.41869582978, 40.26263642377],
283  [0.77442781161, -51.67700624032, 34.52265131214],
284  [0.70734768683, 51.67700624031, 141.64901851704],
285  [0.70734768683, -29.18480325296, 86.62300879256],
286  [1.00000000000, 0.00000000000, 119.99999999999],
287  [0.77442781161, 51.67700624031, 34.52265131213],
288  [0.70734768683, 29.18480325297, 86.62300879256]
289  ],
290  [
291  [3,7,9,5,1,0],
292  [6,2,4,8,12,11],
293  [4,2,0,1],
294  [8,4,1,5],
295  [11,12,9,7],
296  [6,11,7,3],
297  [2,6,3,0],
298  [9,10,5],
299  [10,8,5],
300  [12,10,9],
301  [8,10,12]
302  ],
303  [
304  [0,1],
305  [0,2],
306  [0,3],
307  [1,4],
308  [1,5],
309  [2,4],
310  [2,6],
311  [3,6],
312  [3,7],
313  [4,8],
314  [5,8],
315  [5,9],
316  [5,10],
317  [6,11],
318  [7,9],
319  [7,11],
320  [8,10],
321  [8,12],
322  [9,10],
323  [9,12],
324  [10,12],
325  [11,12]
326  ]
327  ],
328  [
329  "augmented_pentagonal_prism",
330  "Augmented Pentagonal Prism",
331  "J52",
332  "johnson",
333  "Polyhedron Database #96",
334  [
335  [-0.73290407084, -0.39418110105, 0.23813496807],
336  [-0.48928675267, -0.39418110105, -0.51164204143],
337  [-0.09510565163, -0.39418110105, 0.70152264392],
338  [ 0.29907544942, -0.39418110105, -0.51164204143],
339  [ 0.54269276758, -0.39418110105, 0.23813496807],
340  [-0.73290407084, 0.39418110105, 0.23813496807],
341  [-0.48928675267, 0.39418110105, -0.51164204143],
342  [-0.09510565163, 0.39418110105, 0.70152264392],
343  [ 0.95105651630, 0.00000000000, -0.30901699437],
344  [ 0.29907544942, 0.39418110105, -0.51164204143],
345  [ 0.54269276758, 0.39418110105, 0.23813496807]
346  ],
347  [
348  [0.86558383794, -151.72710252576, 74.03114138961],
349  [0.81028257128, -141.14425100408, 129.15618921159],
350  [0.81028257128, -103.56473270009, 30.02864629380],
351  [0.71176010244, -52.81146402183, 135.95883895948],
352  [0.71176010244, -35.99251743913, 70.45348921848],
353  [0.86558383794, 151.72710252578, 74.03114138960],
354  [0.81028257128, 141.14425100410, 129.15618921159],
355  [0.81028257128, 103.56473270011, 30.02864629380],
356  [1.00000000000, 0.00000000001, 107.99999999999],
357  [0.71176010244, 52.81146402184, 135.95883895948],
358  [0.71176010244, 35.99251743914, 70.45348921849]
359  ],
360  [
361  [2,4,3,1,0],
362  [5,6,9,10,7],
363  [6,5,0,1],
364  [9,6,1,3],
365  [7,10,4,2],
366  [5,7,2,0],
367  [4,8,3],
368  [8,9,3],
369  [10,8,4],
370  [9,8,10]
371  ],
372  [
373  [0,1],
374  [0,2],
375  [0,5],
376  [1,3],
377  [1,6],
378  [2,4],
379  [2,7],
380  [3,4],
381  [3,8],
382  [3,9],
383  [4,8],
384  [4,10],
385  [5,6],
386  [5,7],
387  [6,9],
388  [7,10],
389  [8,9],
390  [8,10],
391  [9,10]
392  ]
393  ],
394  [
395  "augmented_sphenocorona",
396  "Augmented Sphenocorona",
397  "J87",
398  "johnson",
399  "Polyhedron Database #131",
400  [
401  [-0.93889108552, -0.34421436568, 0.00000000000],
402  [-0.20334578174, -0.45080219293, -0.42910203723],
403  [-0.59321618873, 0.31373367521, -0.42910412877],
404  [ 0.22575776842, 0.24969022637, -0.67749213070],
405  [ 0.65485935422, -0.45080219293, -0.42910230038],
406  [-0.20334619338, -0.45080177957, 0.42910284551],
407  [-0.59321723274, 0.31373532865, 0.42910243456],
408  [ 0.65485915337, -0.45080219293, 0.42910304636],
409  [ 0.01948424333, 0.73443056504, -0.00000065668],
410  [ 0.75129860035, 0.28614150457, 0.00000025149],
411  [ 0.22575736241, 0.24969142419, 0.67749267583]
412  ],
413  [
414  [1.00000000000, -159.86615488841, 89.99999999999],
415  [0.65475238255, -114.27896474679, 130.94736002540],
416  [0.79653287368, 152.12702286609, 122.59619941938],
417  [0.75650999088, 47.88164526254, 153.57909651454],
418  [0.90343354772, -34.54334676781, 118.35728635715],
419  [0.65475275551, -114.27902791099, 49.05257464813],
420  [0.79653338976, 152.12693974662, 57.40396896886],
421  [0.90343375645, -34.54335497541, 61.64266702645],
422  [0.73468897542, 88.48031500256, 90.00005121225],
423  [0.80394436843, 20.84996351053, 89.99998207655],
424  [0.75651075326, 47.88183325842, 26.42092690931]
425  ],
426  [
427  [1,0,5],
428  [7,4,1,5],
429  [8,3,9],
430  [10,6,8],
431  [2,3,8],
432  [6,2,8],
433  [10,5,6],
434  [7,5,10],
435  [2,1,3],
436  [4,3,1],
437  [10,9,7],
438  [9,4,7],
439  [3,4,9],
440  [8,9,10],
441  [5,0,6],
442  [0,2,6],
443  [1,2,0]
444  ],
445  [
446  [0,1],
447  [0,2],
448  [0,5],
449  [0,6],
450  [1,2],
451  [1,3],
452  [1,4],
453  [1,5],
454  [2,3],
455  [2,6],
456  [2,8],
457  [3,4],
458  [3,8],
459  [3,9],
460  [4,7],
461  [4,9],
462  [5,6],
463  [5,7],
464  [5,10],
465  [6,8],
466  [6,10],
467  [7,9],
468  [7,10],
469  [8,9],
470  [8,10],
471  [9,10]
472  ]
473  ],
474  [
475  "augmented_triangular_prism",
476  "Augmented Triangular Prism",
477  "J49",
478  "johnson",
479  "Polyhedron Database #93",
480  [
481  [ 0.43001398570, 0.57060707521, 0.41061160655],
482  [-0.71120016472, 0.57060707521, 0.41061160655],
483  [ 0.43001398570, -0.57060707521, 0.41061160655],
484  [ 0.84355853704, 0.00000000000, -0.48702874844],
485  [-0.14059308951, 0.57060707521, -0.57770883887],
486  [-0.71120016472, -0.57060707521, 0.41061160655],
487  [-0.14059308951, -0.57060707521, -0.57770883887]
488  ],
489  [
490  [0.82407909427, 52.99803303787, 60.11457316328],
491  [1.00000000000, 141.25937990129, 65.75673924112],
492  [0.82407909427, -52.99803303787, 60.11457316328],
493  [0.97405749687, 0.00000000000, 119.99999999999],
494  [0.82407909427, 103.84152264315, 134.51015501195],
495  [1.00000000000, -141.25937990129, 65.75673924112],
496  [0.82407909427, -103.84152264315, 134.51015501194]
497  ],
498  [
499  [5,1,0,2],
500  [6,4,1,5],
501  [2,3,6],
502  [2,0,3],
503  [4,3,0],
504  [6,5,2],
505  [4,0,1],
506  [3,4,6]
507  ],
508  [
509  [0,1],
510  [0,2],
511  [0,3],
512  [0,4],
513  [1,4],
514  [1,5],
515  [2,3],
516  [2,5],
517  [2,6],
518  [3,4],
519  [3,6],
520  [4,6],
521  [5,6]
522  ]
523  ],
524  [
525  "augmented_tridiminished_icosahedron",
526  "Augmented Tridiminished Icosahedron",
527  "J64",
528  "johnson",
529  "George W. Hart, Jan 1996. george@li.net",
530  [
531  [-0.73091453612, -0.39599533022, -0.17606739267],
532  [ 0.05841648846, -0.39599413782, -0.74954949000],
533  [-0.42941716067, -0.39599533022, 0.75184733858],
534  [-0.42941691445, 0.43395652800, -0.59104248537],
535  [ 0.84774736630, -0.39599441163, -0.17606658565],
536  [ 0.54624869633, -0.39599533022, 0.75184733858],
537  [ 0.05841488181, 0.43395592793, 0.91035365059],
538  [ 0.05841547154, 0.94689494300, 0.08040251034],
539  [ 0.84774631800, 0.43395652800, 0.33687224588],
540  [-0.82723798991, -0.26878605428, -1.13859728183]
541  ],
542  [
543  [0.84973412750, -151.55202367670, 101.95848639001],
544  [0.84973424155, -81.60833172960, 151.89657685252],
545  [0.95209548889, -137.31870046990, 37.84471910510],
546  [0.84973429619, 134.69874183379, 134.07198063021],
547  [0.95209590572, -25.03792269813, 100.65677509345],
548  [1.01018530989, -35.93970722840, 41.90384299537],
549  [1.01018503995, 82.33348912051, 25.68703258673],
550  [0.95209608973, 86.46980516921, 85.15572258294],
551  [1.01018562548, 27.10764897684, 70.52013410055],
552  [1.43281973923, -161.99999136161, 142.62267586606]
553  ],
554  [
555  [8,5,6],
556  [8,4,5],
557  [6,7,8],
558  [5,2,6],
559  [0,1,9],
560  [3,0,9],
561  [1,3,9],
562  [7,3,1,4,8],
563  [2,0,3,7,6],
564  [0,2,5,4,1]
565  ],
566  [
567  [0,1],
568  [0,2],
569  [0,3],
570  [0,9],
571  [1,3],
572  [1,4],
573  [1,9],
574  [2,5],
575  [2,6],
576  [3,7],
577  [3,9],
578  [4,5],
579  [4,8],
580  [5,6],
581  [5,8],
582  [6,7],
583  [6,8],
584  [7,8]
585  ]
586  ],
587  [
588  "augmented_truncated_cube",
589  "Augmented Truncated Cube",
590  "J66",
591  "johnson",
592  "Polyhedron Database #110",
593  [
594  [-0.74979229800, 0.25321139622, 0.61130638691],
595  [-0.74979229800, -0.25321139623, 0.61130638691],
596  [-0.74979229800, 0.61130638691, 0.25321139623],
597  [-0.74979229800, -0.61130638691, 0.25321139622],
598  [-0.74979229800, 0.61130638691, -0.25321139622],
599  [-0.74979229800, -0.61130638691, -0.25321139622],
600  [-0.74979229800, 0.25321139623, -0.61130638691],
601  [-0.74979229800, -0.25321139622, -0.61130638691],
602  [-0.39169730731, 0.61130638691, 0.61130638691],
603  [-0.39169730731, -0.61130638691, 0.61130638691],
604  [-0.39169730731, 0.61130638691, -0.61130638691],
605  [-0.39169730731, -0.61130638691, -0.61130638691],
606  [ 0.11472548514, 0.61130638691, 0.61130638691],
607  [ 0.11472548514, -0.61130638691, 0.61130638691],
608  [ 0.11472548514, 0.61130638691, -0.61130638691],
609  [ 0.11472548514, -0.61130638691, -0.61130638691],
610  [ 0.47282047583, 0.25321139622, 0.61130638691],
611  [ 0.47282047583, -0.25321139623, 0.61130638691],
612  [ 0.47282047583, 0.61130638691, 0.25321139623],
613  [ 0.47282047583, -0.61130638691, 0.25321139622],
614  [ 0.47282047583, 0.61130638691, -0.25321139622],
615  [ 0.47282047583, -0.61130638691, -0.25321139623],
616  [ 0.47282047583, 0.25321139623, -0.61130638691],
617  [ 0.47282047583, -0.25321139622, -0.61130638691],
618  [ 0.83091546652, 0.00000000000, 0.35809499069],
619  [ 0.83091546652, 0.35809499069, -0.00000000000],
620  [ 0.83091546652, -0.35809499069, -0.00000000000],
621  [ 0.83091546652, 0.00000000000, -0.35809499069]
622  ],
623  [
624  [1.00000000000, 161.33972610333, 52.31597669768],
625  [1.00000000000, -161.33972610331, 52.31597669769],
626  [1.00000000000, 140.80960571745, 75.33237221050],
627  [1.00000000000, -140.80960571744, 75.33237221051],
628  [1.00000000000, 140.80960571745, 104.66762778946],
629  [1.00000000000, -140.80960571745, 104.66762778948],
630  [1.00000000000, 161.33972610332, 127.68402330229],
631  [1.00000000000, -161.33972610333, 127.68402330229],
632  [0.94911420699, 122.64989987378, 49.90319627792],
633  [0.94911420699, -122.64989987377, 49.90319627793],
634  [0.94911420699, 122.64989987378, 130.09680372205],
635  [0.94911420699, -122.64989987379, 130.09680372206],
636  [0.87209686062, 79.37078926845, 45.49579789248],
637  [0.87209686062, -79.37078926845, 45.49579789250],
638  [0.87209686062, 79.37078926846, 134.50420210749],
639  [0.87209686062, -79.37078926847, 134.50420210751],
640  [0.81324701796, 28.17055914015, 41.26336495107],
641  [0.81324701796, -28.17055914017, 41.26336495108],
642  [0.81324701796, 52.27951543544, 71.85887908857],
643  [0.81324701796, -52.27951543543, 71.85887908859],
644  [0.81324701796, 52.27951543544, 108.14112091140],
645  [0.81324701796, -52.27951543543, 108.14112091143],
646  [0.81324701796, 28.17055914018, 138.73663504892],
647  [0.81324701796, -28.17055914016, 138.73663504893],
648  [0.90479419475, 0.00000000000, 66.68567769914],
649  [0.90479419475, 23.31432230086, 89.99999999999],
650  [0.90479419475, -23.31432230085, 90.00000000000],
651  [0.90479419475, 0.00000000001, 113.31432230086]
652  ],
653  [
654  [27,26,24,25],
655  [16,18,25,24],
656  [17,16,24],
657  [19,17,24,26],
658  [21,19,26],
659  [23,21,26,27],
660  [22,23,27],
661  [20,22,27,25],
662  [18,20,25],
663  [22,14,10,6,7,11,15,23],
664  [18,12,8,2,4,10,14,20],
665  [17,13,9,1,0,8,12,16],
666  [21,15,11,5,3,9,13,19],
667  [2,0,1,3,5,7,6,4],
668  [23,15,21],
669  [11,7,5],
670  [19,13,17],
671  [9,3,1],
672  [16,12,18],
673  [8,0,2],
674  [20,14,22],
675  [10,4,6]
676  ],
677  [
678  [0,1],
679  [0,2],
680  [0,8],
681  [1,3],
682  [1,9],
683  [2,4],
684  [2,8],
685  [3,5],
686  [3,9],
687  [4,6],
688  [4,10],
689  [5,7],
690  [5,11],
691  [6,7],
692  [6,10],
693  [7,11],
694  [8,12],
695  [9,13],
696  [10,14],
697  [11,15],
698  [12,16],
699  [12,18],
700  [13,17],
701  [13,19],
702  [14,20],
703  [14,22],
704  [15,21],
705  [15,23],
706  [16,17],
707  [16,18],
708  [16,24],
709  [17,19],
710  [17,24],
711  [18,20],
712  [18,25],
713  [19,21],
714  [19,26],
715  [20,22],
716  [20,25],
717  [21,23],
718  [21,26],
719  [22,23],
720  [22,27],
721  [23,27],
722  [24,25],
723  [24,26],
724  [25,27],
725  [26,27]
726  ]
727  ],
728  [
729  "augmented_truncated_dodecahedron",
730  "Augmented Truncated Dodecahedron",
731  "J68",
732  "johnson",
733  "Polyhedron Database #112",
734  [
735  [-0.03851423300, -0.38441940297, 0.92235479967],
736  [-0.03851423300, -0.65306162919, 0.75632477305],
737  [-0.19641817172, -0.11577717675, 0.97366089947],
738  [-0.19641817172, -0.81909165581, 0.53898864663],
739  [ 0.11938970571, -0.11577717675, 0.97366089947],
740  [ 0.11938970571, -0.81909165581, 0.53898864663],
741  [-0.45191211152, 0.05025284987, 0.89064588616],
742  [-0.45191211152, -0.81909165581, 0.35336143372],
743  [ 0.37488364551, 0.05025284987, 0.89064588616],
744  [ 0.37488364551, -0.81909165581, 0.35336143372],
745  [-0.70740605132, 0.05025284987, 0.70501867325],
746  [-0.70740605132, -0.65306162919, 0.27034642041],
747  [-0.86530999004, -0.11577717675, 0.48768254683],
748  [-0.86530999004, -0.38441940297, 0.32165252021],
749  [ 0.63037758531, 0.05025284987, 0.70501867325],
750  [-0.54950211261, 0.31889507609, 0.75632477305],
751  [ 0.63037758531, -0.65306162919, 0.27034642041],
752  [-0.54950211261, -0.81909165581, 0.05301029399],
753  [ 0.47247364660, 0.31889507609, 0.75632477305],
754  [ 0.47247364660, -0.81909165581, 0.05301029399],
755  [ 0.78828152403, -0.11577717675, 0.48768254683],
756  [ 0.78828152403, -0.38441940297, 0.32165252021],
757  [-0.96289999112, -0.11577717675, 0.18733140710],
758  [-0.45191211152, 0.58753730232, 0.62200365994],
759  [-0.45191211152, -0.81909165581, -0.24734084574],
760  [ 0.37488364551, 0.58753730232, 0.62200365994],
761  [ 0.37488364551, -0.81909165581, -0.24734084574],
762  [ 0.88587152512, -0.11577717675, 0.18733140710],
763  [-0.19641817172, 0.75356732894, 0.53898864663],
764  [ 0.11938970571, 0.75356732894, 0.53898864663],
765  [-0.19641817172, -0.81909165581, -0.43296805866],
766  [ 0.11938970571, -0.81909165581, -0.43296805866],
767  [-0.96289999112, 0.05025284987, -0.08131081912],
768  [-0.45191211152, 0.75356732894, 0.35336143372],
769  [-0.45191211152, -0.65306162919, -0.51598307196],
770  [ 0.37488364551, 0.75356732894, 0.35336143372],
771  [ 0.37488364551, -0.65306162919, -0.51598307196],
772  [ 0.88587152512, 0.05025284987, -0.08131081912],
773  [-0.86530999004, 0.31889507609, -0.21563193223],
774  [-0.86530999004, 0.05025284987, -0.38166195885],
775  [-0.54950211261, 0.75356732894, 0.05301029399],
776  [-0.54950211261, -0.38441940297, -0.65030418508],
777  [ 0.47247364660, 0.75356732894, 0.05301029399],
778  [-0.70740605132, 0.58753730232, -0.16432583243],
779  [ 0.47247364660, -0.38441940297, -0.65030418508],
780  [-0.70740605132, -0.11577717675, -0.59899808527],
781  [ 0.78828152403, 0.31889507609, -0.21563193223],
782  [ 0.78828152403, 0.05025284987, -0.38166195885],
783  [ 0.63037758531, 0.58753730232, -0.16432583243],
784  [ 0.63037758531, -0.11577717675, -0.59899808527],
785  [-0.45191211152, 0.75356732894, -0.24734084574],
786  [-0.45191211152, -0.11577717675, -0.78462529819],
787  [ 0.37488364551, 0.75356732894, -0.24734084574],
788  [ 0.37488364551, -0.11577717675, -0.78462529819],
789  [ 0.64704794768, 0.46739684642, -0.45591284402],
790  [ 0.64704794768, 0.19875462020, -0.62194287064],
791  [-0.19641817172, 0.75356732894, -0.43296805866],
792  [-0.19641817172, 0.05025284987, -0.86764031150],
793  [ 0.11938970571, 0.75356732894, -0.43296805866],
794  [ 0.11938970571, 0.05025284987, -0.86764031150],
795  [ 0.39155400788, 0.63342687304, -0.53892785733],
796  [ 0.39155400788, 0.19875462020, -0.80757008355],
797  [-0.03851423300, 0.58753730232, -0.65030418508],
798  [-0.03851423300, 0.31889507609, -0.81633421169],
799  [ 0.23365006916, 0.46739684642, -0.75626398375]
800  ],
801  [
802  [1.00000000000, -95.72126112155, 22.72719775062],
803  [1.00000000000, -93.37510259055, 40.85873946672],
804  [1.00000000000, -149.48310428469, 13.17941036547],
805  [1.00000000000, -103.48489724682, 57.38518185222],
806  [0.98776201772, -44.11991696242, 9.69295648908],
807  [0.98776201772, -81.70704420209, 56.92977806848],
808  [1.00000000000, 173.65474951771, 27.04547882984],
809  [1.00000000000, -118.88655355039, 69.30694618686],
810  [0.96763277700, 7.63493884668, 23.00981515016],
811  [0.96763277700, -65.40727491295, 68.58125692566],
812  [1.00000000000, 175.93663715162, 45.16894734660],
813  [1.00000000000, -137.28748653415, 74.31511808259],
814  [1.00000000000, -172.37917180792, 60.81162441972],
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816  [0.94707580405, 4.55790322760, 41.89101133951],
817  [0.98776201772, 149.87192453544, 40.03110782121],
818  [0.94707580405, -46.01256425046, 73.41402160486],
819  [0.98776201772, -123.85638297522, 86.92362540718],
820  [0.94707580405, 34.01729757595, 37.00438214972],
821  [0.94707580405, -60.02251906212, 86.79132940792],
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825  [0.96763277700, 127.56616215954, 49.99835355923],
826  [0.96763277700, -118.88655355038, 104.80999268679],
827  [0.93414473304, 57.45970936772, 48.25215319837],
828  [0.93414473304, -65.40727491295, 105.35375377719],
829  [0.91283392233, -7.44595282122, 78.15764581783],
830  [0.94707580405, 104.60915509827, 55.31193580409],
831  [0.93414473304, 80.99730267312, 54.76115199685],
832  [0.94707580405, -103.48489724681, 117.20419496133],
833  [0.93414473304, -81.70704420208, 117.61263225760],
834  [0.96763277700, 177.01249724481, 94.82028624910],
835  [0.94707580405, 120.95099218291, 68.09258431123],
836  [0.94707580405, -124.68284654781, 123.01216425217],
837  [0.91283392233, 63.55063624099, 67.22559417048],
838  [0.91283392233, -60.14244247728, 124.41993488351],
839  [0.89101355615, 3.24673907449, 95.23589934712],
840  [0.94707580405, 159.76950549616, 103.16062846333],
841  [0.94707580405, 176.67628272662, 113.76522348900],
842  [0.93414473304, 126.09957137106, 86.74686532933],
843  [0.93414473304, -145.02422343268, 134.11887101442],
844  [0.89101355615, 57.91300118555, 86.58920929992],
845  [0.93414473304, 140.28861536852, 100.13164576895],
846  [0.89101355615, -39.13288508080, 136.87362683013],
847  [0.93414473304, -170.70512773844, 129.88331565772],
848  [0.87725649663, 22.02553079857, 104.22927014705],
849  [0.87725649663, 3.64766279262, 115.78931112286],
850  [0.87725649663, 42.98544557657, 100.79630030050],
851  [0.87725649663, -10.40714319556, 133.06349129256],
852  [0.91283392233, 120.95099218290, 105.72135909135],
853  [0.91283392233, -165.63023159008, 149.26595933447],
854  [0.87725649663, 63.55063624098, 106.37651081871],
855  [0.87725649663, -17.16251685320, 153.43250038610],
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857  [0.91923195113, 17.07546012197, 132.57772158490],
858  [0.89101355615, 104.60915509825, 119.07326263571],
859  [0.89101355615, 165.64893193935, 166.84748060496],
860  [0.87725649663, 80.99730267311, 119.57403949439],
861  [0.87725649663, 22.82692786820, 171.50871814279],
862  [0.91923195113, 58.27763841734, 125.89350994440],
863  [0.91923195113, 26.91255956918, 151.46518300649],
864  [0.87725649663, 93.75048586378, 137.84168437532],
865  [0.87725649663, 96.88648664222, 158.52127983275],
866  [0.91923195113, 63.43969099919, 145.35729477421]
867  ],
868  [
869  [30,24,17,7,3,5,9,19,26,31],
870  [24,30,34],
871  [57,51,41,34,30,31,36,44,53,59],
872  [41,51,45],
873  [31,26,36],
874  [47,49,44,36,26,19,16,21,27,37],
875  [44,49,53],
876  [19,9,16],
877  [14,20,21,16,9,5,1,0,4,8],
878  [21,20,27],
879  [5,3,1],
880  [6,2,0,1,3,7,11,13,12,10],
881  [0,2,4],
882  [7,17,11],
883  [32,22,13,11,17,24,34,41,45,39],
884  [13,22,12],
885  [56,58,52,42,35,29,28,33,40,50],
886  [58,56,62],
887  [51,57,63,62,56,50,43,38,39,45],
888  [63,57,59],
889  [50,40,43],
890  [22,32,38,43,40,33,23,15,10,12],
891  [38,32,39],
892  [33,28,23],
893  [2,6,15,23,28,29,25,18,8,4],
894  [15,6,10],
895  [29,35,25],
896  [20,14,18,25,35,42,48,46,37,27],
897  [18,14,8],
898  [42,52,48],
899  [37,46,47],
900  [64,61,55,54,60],
901  [48,52,60,54],
902  [46,48,54],
903  [47,46,54,55],
904  [49,47,55],
905  [53,49,55,61],
906  [59,53,61],
907  [63,59,61,64],
908  [63,64,62],
909  [58,62,64,60],
910  [52,58,60]
911  ],
912  [
913  [0,1],
914  [0,2],
915  [0,4],
916  [1,3],
917  [1,5],
918  [2,4],
919  [2,6],
920  [3,5],
921  [3,7],
922  [4,8],
923  [5,9],
924  [6,10],
925  [6,15],
926  [7,11],
927  [7,17],
928  [8,14],
929  [8,18],
930  [9,16],
931  [9,19],
932  [10,12],
933  [10,15],
934  [11,13],
935  [11,17],
936  [12,13],
937  [12,22],
938  [13,22],
939  [14,18],
940  [14,20],
941  [15,23],
942  [16,19],
943  [16,21],
944  [17,24],
945  [18,25],
946  [19,26],
947  [20,21],
948  [20,27],
949  [21,27],
950  [22,32],
951  [23,28],
952  [23,33],
953  [24,30],
954  [24,34],
955  [25,29],
956  [25,35],
957  [26,31],
958  [26,36],
959  [27,37],
960  [28,29],
961  [28,33],
962  [29,35],
963  [30,31],
964  [30,34],
965  [31,36],
966  [32,38],
967  [32,39],
968  [33,40],
969  [34,41],
970  [35,42],
971  [36,44],
972  [37,46],
973  [37,47],
974  [38,39],
975  [38,43],
976  [39,45],
977  [40,43],
978  [40,50],
979  [41,45],
980  [41,51],
981  [42,48],
982  [42,52],
983  [43,50],
984  [44,49],
985  [44,53],
986  [45,51],
987  [46,47],
988  [46,48],
989  [46,54],
990  [47,49],
991  [47,55],
992  [48,52],
993  [48,54],
994  [49,53],
995  [49,55],
996  [50,56],
997  [51,57],
998  [52,58],
999  [52,60],
1000  [53,59],
1001  [53,61],
1002  [54,55],
1003  [54,60],
1004  [55,61],
1005  [56,58],
1006  [56,62],
1007  [57,59],
1008  [57,63],
1009  [58,60],
1010  [58,62],
1011  [59,61],
1012  [59,63],
1013  [60,64],
1014  [61,64],
1015  [62,63],
1016  [62,64],
1017  [63,64]
1018  ]
1019  ],
1020  [
1021  "augmented_truncated_tetrahedron",
1022  "Augmented Truncated Tetrahedron",
1023  "J65",
1024  "johnson",
1025  "Polyhedron Database #109",
1026  [
1027  [ 0.86350605182, -0.49544035708, 0.09431940974],
1028  [ 0.86350605182, 0.07622159340, 0.49854545146],
1029  [ 0.51343603081, -0.49544035708, -0.51201965285],
1030  [ 0.51343603081, 0.64788354387, 0.29643243060],
1031  [ 0.16336600980, 0.07622159340, -0.71413267372],
1032  [ 0.51343603081, -0.49544035708, 0.70065847233],
1033  [ 0.16336600980, 0.64788354387, -0.30990663199],
1034  [-0.18670401120, -0.49544035708, -0.51201965285],
1035  [-0.42008402521, 0.45732956038, -0.64676166676],
1036  [-0.18670401120, 0.64788354387, 0.29643243060],
1037  [-0.18670401120, -0.49544035708, 0.70065847233],
1038  [-0.53677403221, -0.49544035708, 0.09431940974],
1039  [-0.77015404622, -0.11433239009, -0.44464864590],
1040  [-0.53677403221, 0.07622159340, 0.49854545146],
1041  [-0.77015404622, 0.45732956038, -0.04042260417]
1042  ],
1043  [
1044  [1.00000000000, -29.84523633110, 84.58785102731],
1045  [1.00000000000, 5.04441855310, 60.09618558877],
1046  [0.87820375202, -43.97810392352, 125.66398182365],
1047  [0.87820375202, 51.60380975674, 70.27268664848],
1048  [0.73653490082, 25.01232048431, 165.83248980473],
1049  [1.00000000000, -43.97810392352, 45.52014277060],
1050  [0.73653490082, 75.84769483407, 114.88276802804],
1051  [0.73653490082, -110.64864556054, 134.04105621432],
1052  [0.89661673452, 132.56929730208, 136.16486933020],
1053  [0.73653490082, 106.07567286245, 66.26738432360],
1054  [0.87820375202, -110.64864556054, 37.07649367132],
1055  [0.73653490082, -137.29310940924, 82.64259653599],
1056  [0.89661673452, -171.55588834533, 119.73032226169],
1057  [0.73653490082, 171.91806526131, 47.39971717089],
1058  [0.89661673452, 149.29749457184, 92.58396906195]
1059  ],
1060  [
1061  [7,4,8,12],
1062  [11,7,12],
1063  [10,5,0,2,7,11],
1064  [11,13,10],
1065  [11,12,14,13],
1066  [9,13,14],
1067  [9,3,1,5,10,13],
1068  [6,3,9],
1069  [5,1,0],
1070  [6,4,2,0,1,3],
1071  [7,2,4],
1072  [8,6,9,14],
1073  [8,4,6],
1074  [12,8,14]
1075  ],
1076  [
1077  [0,1],
1078  [0,2],
1079  [0,5],
1080  [1,3],
1081  [1,5],
1082  [2,4],
1083  [2,7],
1084  [3,6],
1085  [3,9],
1086  [4,6],
1087  [4,7],
1088  [4,8],
1089  [5,10],
1090  [6,8],
1091  [6,9],
1092  [7,11],
1093  [7,12],
1094  [8,12],
1095  [8,14],
1096  [9,13],
1097  [9,14],
1098  [10,11],
1099  [10,13],
1100  [11,12],
1101  [11,13],
1102  [12,14],
1103  [13,14]
1104  ]
1105  ],
1106  [
1107  "biaugmented_pentagonal_prism",
1108  "Biaugmented Pentagonal Prism",
1109  "J53",
1110  "johnson",
1111  "Polyhedron Database #97",
1112  [
1113  [-0.36369162410, -0.36369162410, -0.44830751692],
1114  [ 0.36369162410, -0.36369162410, -0.44830751692],
1115  [-0.58846540921, -0.36369162410, 0.24347506112],
1116  [-0.96524266869, 0.00000000000, -0.26135529559],
1117  [ 0.58846540921, -0.36369162410, 0.24347506112],
1118  [-0.00000000000, -0.36369162410, 0.67102020718],
1119  [ 0.96524266869, 0.00000000000, -0.26135529559],
1120  [-0.36369162410, 0.36369162410, -0.44830751692],
1121  [ 0.36369162410, 0.36369162410, -0.44830751692],
1122  [-0.58846540921, 0.36369162410, 0.24347506112],
1123  [ 0.58846540921, 0.36369162410, 0.24347506112],
1124  [-0.00000000000, 0.36369162410, 0.67102020718]
1125  ],
1126  [
1127  [0.68229233075, -134.99999999999, 131.07609296051],
1128  [0.68229233075, -44.99999999999, 131.07609296050],
1129  [0.73337796576, -148.28252558853, 70.61031963181],
1130  [1.00000000000, 179.99999999999, 105.15049579085],
1131  [0.73337796576, -31.71747441145, 70.61031963179],
1132  [0.76324289442, -89.99999999999, 28.45760506532],
1133  [1.00000000000, 0.00000000000, 105.15049579083],
1134  [0.68229233075, 134.99999999998, 131.07609296050],
1135  [0.68229233075, 44.99999999999, 131.07609296049],
1136  [0.73337796576, 148.28252558853, 70.61031963181],
1137  [0.73337796576, 31.71747441146, 70.61031963179],
1138  [0.76324289442, 90.00000000001, 28.45760506531]
1139  ],
1140  [
1141  [1,0,2,5,4],
1142  [10,11,9,7,8],
1143  [11,10,4,5],
1144  [9,11,5,2],
1145  [8,7,0,1],
1146  [0,3,2],
1147  [3,9,2],
1148  [7,3,0],
1149  [9,3,7],
1150  [4,6,1],
1151  [6,8,1],
1152  [10,6,4],
1153  [8,6,10]
1154  ],
1155  [
1156  [0,1],
1157  [0,2],
1158  [0,3],
1159  [0,7],
1160  [1,4],
1161  [1,6],
1162  [1,8],
1163  [2,3],
1164  [2,5],
1165  [2,9],
1166  [3,7],
1167  [3,9],
1168  [4,5],
1169  [4,6],
1170  [4,10],
1171  [5,11],
1172  [6,8],
1173  [6,10],
1174  [7,8],
1175  [7,9],
1176  [8,10],
1177  [9,11],
1178  [10,11]
1179  ]
1180  ],
1181  [
1182  "biaugmented_triangular_prism",
1183  "Biaugmented Triangular Prism",
1184  "J50",
1185  "johnson",
1186  "Polyhedron Database #94",
1187  [
1188  [ 0.53205720493, 0.53205720493, 0.43963660619],
1189  [ 0.91766293548, 0.00000000000, -0.39735970712],
1190  [ 0.53205720493, -0.53205720493, 0.43963660619],
1191  [-0.00000000000, 0.53205720493, -0.48191350527],
1192  [-0.53205720493, 0.53205720493, 0.43963660619],
1193  [ 0.00000000000, -0.53205720493, -0.48191350527],
1194  [-0.53205720493, -0.53205720493, 0.43963660619],
1195  [-0.91766293548, 0.00000000000, -0.39735970712]
1196  ],
1197  [
1198  [0.87146433325, 45.00000000000, 59.70313904049],
1199  [1.00000000000, 0.00000000000, 113.41322444636],
1200  [0.87146433325, -45.00000000000, 59.70313904050],
1201  [0.71786175262, 90.00000000000, 132.16886918696],
1202  [0.87146433325, 135.00000000000, 59.70313904050],
1203  [0.71786175262, -89.99999999998, 132.16886918696],
1204  [0.87146433325, -135.00000000000, 59.70313904050],
1205  [1.00000000000, 179.99999999998, 113.41322444637]
1206  ],
1207  [
1208  [2,6,4,0],
1209  [1,0,3],
1210  [2,0,1],
1211  [5,2,1],
1212  [3,0,4],
1213  [5,6,2],
1214  [7,3,4],
1215  [6,7,4],
1216  [5,7,6],
1217  [5,3,7],
1218  [3,5,1]
1219  ],
1220  [
1221  [0,1],
1222  [0,2],
1223  [0,3],
1224  [0,4],
1225  [1,2],
1226  [1,3],
1227  [1,5],
1228  [2,5],
1229  [2,6],
1230  [3,4],
1231  [3,5],
1232  [3,7],
1233  [4,6],
1234  [4,7],
1235  [5,6],
1236  [5,7],
1237  [6,7]
1238  ]
1239  ],
1240  [
1241  "biaugmented_truncated_cube",
1242  "Biaugmented Truncated Cube",
1243  "J67",
1244  "johnson",
1245  "Polyhedron Database #111",
1246  [
1247  [-0.59153329257, -0.24502111238, 0.59153329257],
1248  [-0.24502111238, -0.59153329257, 0.59153329257],
1249  [-0.59153329257, 0.24502111238, 0.59153329257],
1250  [-0.93804547277, -0.00000000000, 0.34651218019],
1251  [ 0.24502111238, -0.59153329257, 0.59153329257],
1252  [-0.24502111238, 0.59153329257, 0.59153329257],
1253  [-0.59153329257, -0.59153329257, 0.24502111238],
1254  [ 0.59153329257, -0.24502111238, 0.59153329257],
1255  [ 0.24502111238, 0.59153329257, 0.59153329257],
1256  [-0.93804547277, -0.34651218019, 0.00000000000],
1257  [ 0.59153329257, 0.24502111238, 0.59153329257],
1258  [-0.59153329257, 0.59153329257, 0.24502111238],
1259  [-0.93804547277, 0.34651218019, 0.00000000000],
1260  [ 0.59153329257, -0.59153329257, 0.24502111238],
1261  [-0.59153329257, -0.59153329257, -0.24502111238],
1262  [ 0.93804547277, 0.00000000000, 0.34651218019],
1263  [-0.93804547277, 0.00000000000, -0.34651218019],
1264  [ 0.59153329257, 0.59153329257, 0.24502111238],
1265  [-0.59153329257, 0.59153329257, -0.24502111238],
1266  [ 0.93804547277, -0.34651218019, -0.00000000000],
1267  [ 0.59153329257, -0.59153329257, -0.24502111238],
1268  [-0.59153329257, -0.24502111238, -0.59153329257],
1269  [ 0.93804547277, 0.34651218019, -0.00000000000],
1270  [-0.24502111238, -0.59153329257, -0.59153329257],
1271  [-0.59153329257, 0.24502111238, -0.59153329257],
1272  [ 0.59153329257, 0.59153329257, -0.24502111238],
1273  [ 0.24502111238, -0.59153329257, -0.59153329257],
1274  [-0.24502111238, 0.59153329257, -0.59153329257],
1275  [ 0.93804547277, 0.00000000000, -0.34651218019],
1276  [ 0.59153329257, -0.24502111238, -0.59153329257],
1277  [ 0.24502111238, 0.59153329257, -0.59153329257],
1278  [ 0.59153329257, 0.24502111238, -0.59153329257]
1279  ],
1280  [
1281  [0.87169869677, -157.49999999998, 47.26579039909],
1282  [0.87169869677, -112.49999999999, 47.26579039910],
1283  [0.87169869677, 157.49999999999, 47.26579039909],
1284  [1.00000000000, -179.99999999998, 69.72586777264],
1285  [0.87169869677, -67.49999999998, 47.26579039910],
1286  [0.87169869677, 112.49999999999, 47.26579039909],
1287  [0.87169869677, -134.99999999999, 73.67505006310],
1288  [0.87169869677, -22.50000000000, 47.26579039911],
1289  [0.87169869677, 67.49999999999, 47.26579039909],
1290  [1.00000000000, -159.72586777263, 89.99999999999],
1291  [0.87169869677, 22.49999999999, 47.26579039910],
1292  [0.87169869677, 135.00000000000, 73.67505006309],
1293  [1.00000000000, 159.72586777264, 89.99999999998],
1294  [0.87169869677, -44.99999999999, 73.67505006310],
1295  [0.87169869677, -134.99999999999, 106.32494993689],
1296  [1.00000000000, 0.00000000000, 69.72586777265],
1297  [1.00000000000, 179.99999999999, 110.27413222734],
1298  [0.87169869677, 45.00000000000, 73.67505006310],
1299  [0.87169869677, 135.00000000000, 106.32494993688],
1300  [1.00000000000, -20.27413222735, 90.00000000001],
1301  [0.87169869677, -44.99999999999, 106.32494993690],
1302  [0.87169869677, -157.50000000000, 132.73420960089],
1303  [1.00000000000, 20.27413222736, 90.00000000000],
1304  [0.87169869677, -112.50000000000, 132.73420960089],
1305  [0.87169869677, 157.49999999999, 132.73420960088],
1306  [0.87169869677, 45.00000000000, 106.32494993689],
1307  [0.87169869677, -67.50000000000, 132.73420960090],
1308  [0.87169869677, 112.50000000001, 132.73420960089],
1309  [1.00000000000, 0.00000000001, 110.27413222735],
1310  [0.87169869677, -22.50000000000, 132.73420960090],
1311  [0.87169869677, 67.50000000000, 132.73420960089],
1312  [0.87169869677, 22.50000000001, 132.73420960090]
1313  ],
1314  [
1315  [19,15,22,28],
1316  [25,31,28,22],
1317  [17,25,22],
1318  [10,17,22,15],
1319  [7,10,15],
1320  [13,7,15,19],
1321  [20,13,19],
1322  [29,20,19,28],
1323  [31,29,28],
1324  [12,3,9,16],
1325  [14,21,16,9],
1326  [6,14,9],
1327  [0,6,9,3],
1328  [2,0,3],
1329  [11,2,3,12],
1330  [18,11,12],
1331  [24,18,12,16],
1332  [21,24,16],
1333  [20,26,23,14,6,1,4,13],
1334  [31,30,27,24,21,23,26,29],
1335  [17,8,5,11,18,27,30,25],
1336  [7,4,1,0,2,5,8,10],
1337  [13,4,7],
1338  [1,6,0],
1339  [10,8,17],
1340  [5,2,11],
1341  [25,30,31],
1342  [27,18,24],
1343  [29,26,20],
1344  [23,21,14]
1345  ],
1346  [
1347  [0,1],
1348  [0,2],
1349  [0,3],
1350  [0,6],
1351  [1,4],
1352  [1,6],
1353  [2,3],
1354  [2,5],
1355  [2,11],
1356  [3,9],
1357  [3,12],
1358  [4,7],
1359  [4,13],
1360  [5,8],
1361  [5,11],
1362  [6,9],
1363  [6,14],
1364  [7,10],
1365  [7,13],
1366  [7,15],
1367  [8,10],
1368  [8,17],
1369  [9,14],
1370  [9,16],
1371  [10,15],
1372  [10,17],
1373  [11,12],
1374  [11,18],
1375  [12,16],
1376  [12,18],
1377  [13,19],
1378  [13,20],
1379  [14,21],
1380  [14,23],
1381  [15,19],
1382  [15,22],
1383  [16,21],
1384  [16,24],
1385  [17,22],
1386  [17,25],
1387  [18,24],
1388  [18,27],
1389  [19,20],
1390  [19,28],
1391  [20,26],
1392  [20,29],
1393  [21,23],
1394  [21,24],
1395  [22,25],
1396  [22,28],
1397  [23,26],
1398  [24,27],
1399  [25,30],
1400  [25,31],
1401  [26,29],
1402  [27,30],
1403  [28,29],
1404  [28,31],
1405  [29,31],
1406  [30,31]
1407  ]
1408  ],
1409  [
1410  "bigyrate_diminished_rhombicosidodecahedron",
1411  "Bigyrate Diminished Rhombicosidodecahedron",
1412  "J79",
1413  "johnson",
1414  "Polyhedron Database #123",
1415  [
1416  [-0.55321297349, -0.72966120124, -0.40193275229],
1417  [-0.21130855286, -0.72966120124, -0.65034085439],
1418  [-0.68380884127, -0.72966120124, -0.00000000000],
1419  [ 0.21130855286, -0.72966120124, -0.65034085439],
1420  [-0.76452152635, -0.37016161864, -0.47059106309],
1421  [-0.21130855286, -0.37016161865, -0.87252381538],
1422  [-0.55321297349, -0.14797865766, -0.76143233488],
1423  [-0.89511739413, -0.37016161864, -0.06865831081],
1424  [ 0.21130855286, -0.37016161865, -0.87252381538],
1425  [-0.55321297349, -0.72966120124, 0.40193275229],
1426  [ 0.55321297349, -0.72966120124, -0.40193275229],
1427  [-0.80061733644, 0.05074782403, -0.48231930274],
1428  [-0.00000000000, -0.01066203605, -0.94118212618],
1429  [-0.21130855286, -0.72966120124, 0.65034085439],
1430  [ 0.68380884127, -0.72966120124, -0.00000000000],
1431  [-0.34190442064, 0.21152092494, -0.83009064569],
1432  [-0.93121320422, 0.05074782403, -0.08038655046],
1433  [-0.89511739413, -0.14797865766, 0.29084127179],
1434  [-0.68380884127, -0.37016161865, 0.58168254359],
1435  [ 0.55321297349, -0.14797865766, -0.76143233488],
1436  [ 0.76452152635, -0.37016161865, -0.47059106309],
1437  [ 0.21130855286, -0.72966120124, 0.65034085439],
1438  [ 0.55321297349, -0.72966120124, 0.40193275229],
1439  [-0.58930878359, 0.41024740662, -0.55097761355],
1440  [ 0.34190442064, 0.21152092494, -0.83009064569],
1441  [-0.34190442064, -0.37016161865, 0.83009064569],
1442  [ 0.89511739413, -0.37016161865, -0.06865831081],
1443  [-0.21130855286, 0.57102050754, -0.65034085439],
1444  [-0.80061733644, 0.41024740662, 0.09936324084],
1445  [ 0.80061733644, 0.05074782403, -0.48231930274],
1446  [-0.76452152635, 0.21152092494, 0.47059106309],
1447  [-0.55321297349, -0.01066203605, 0.76143233488],
1448  [ 0.34190442064, -0.37016161865, 0.83009064569],
1449  [ 0.68380884127, -0.37016161865, 0.58168254359],
1450  [-0.58930878359, 0.63243036761, -0.19147803095],
1451  [ 0.21130855286, 0.57102050754, -0.65034085439],
1452  [ 0.58930878359, 0.41024740662, -0.55097761355],
1453  [-0.00000000000, -0.14797865766, 0.94118212618],
1454  [ 0.89511739413, -0.14797865766, 0.29084127179],
1455  [ 0.93121320422, 0.05074782403, -0.08038655046],
1456  [-0.21130855286, 0.79320346853, -0.29084127179],
1457  [-0.55321297349, 0.57102050754, 0.40193275229],
1458  [-0.21130855286, 0.21152092494, 0.87252381538],
1459  [ 0.55321297349, -0.01066203605, 0.76143233488],
1460  [-0.34190442064, 0.79320346853, 0.11109148049],
1461  [ 0.21130855286, 0.79320346853, -0.29084127179],
1462  [ 0.58930878359, 0.63243036761, -0.19147803095],
1463  [ 0.21130855286, 0.21152092494, 0.87252381538],
1464  [ 0.76452152635, 0.21152092494, 0.47059106309],
1465  [ 0.80061733644, 0.41024740662, 0.09936324084],
1466  [-0.21130855286, 0.57102050754, 0.65034085439],
1467  [ 0.00000000000, 0.79320346853, 0.35949958260],
1468  [ 0.34190442064, 0.79320346853, 0.11109148049],
1469  [ 0.21130855286, 0.57102050754, 0.65034085439],
1470  [ 0.55321297349, 0.57102050754, 0.40193275229]
1471  ],
1472  [
1473  [1.00000000000, -127.16859907795, 113.69905988309],
1474  [1.00000000000, -106.15091992090, 130.56730576487],
1475  [1.00000000000, -133.14200112378, 89.99999999999],
1476  [1.00000000000, -73.84908007912, 130.56730576487],
1477  [0.97106577369, -154.16493060777, 118.98711799517],
1478  [0.97106577369, -119.72009459654, 153.96444613297],
1479  [0.95274418275, -165.02457730650, 143.05369410523],
1480  [0.97106577369, -157.53323421368, 94.05442815564],
1481  [0.97106577369, -60.27990540349, 153.96444613297],
1482  [1.00000000000, -127.16859907795, 66.30094011690],
1483  [1.00000000000, -52.83140092207, 113.69905988310],
1484  [0.93605308122, 176.37310948048, 121.01544898759],
1485  [0.94124251586, -90.00000000053, 179.35096139267],
1486  [1.00000000000, -106.15091992090, 49.43269423512],
1487  [1.00000000000, -46.85799887624, 90.00000000000],
1488  [0.92232869119, 148.25678032568, 154.15732953496],
1489  [0.93605308122, 176.88066834420, 94.92652648964],
1490  [0.95274418275, -170.61290105831, 72.22577748956],
1491  [0.97106577369, -151.57228676923, 53.20064626834],
1492  [0.95274418275, -14.97542269352, 143.05369410524],
1493  [0.97106577369, -25.83506939224, 118.98711799517],
1494  [1.00000000000, -73.84908007912, 49.43269423513],
1495  [1.00000000000, -52.83140092208, 66.30094011690],
1496  [0.90507685181, 145.15628752408, 127.50013851274],
1497  [0.92232869119, 31.74321967428, 154.15732953496],
1498  [0.97106577369, -132.72750132960, 31.25966748281],
1499  [0.97106577369, -22.46676578634, 94.05442815564],
1500  [0.89087538490, 110.30720654251, 136.88656564166],
1501  [0.90507685181, 152.86877004885, 83.69711765839],
1502  [0.93605308122, 3.62689051947, 121.01544898759],
1503  [0.92232869119, 164.53477767259, 59.32147762345],
1504  [0.94124251586, -178.89587902826, 36.00505936904],
1505  [0.97106577369, -47.27249867043, 31.25966748281],
1506  [0.97106577369, -28.42771323080, 53.20064626835],
1507  [0.88539078865, 132.97857048394, 102.48968584521],
1508  [0.89087538490, 69.69279345746, 136.88656564167],
1509  [0.90507685181, 34.84371247589, 127.50013851275],
1510  [0.95274418275, -89.99999999999, 8.93526016571],
1511  [0.95274418275, -9.38709894171, 72.22577748957],
1512  [0.93605308122, 3.11933165575, 94.92652648964],
1513  [0.87086835536, 104.91709431399, 109.50973258054],
1514  [0.89087538490, 134.09252726868, 63.18147713219],
1515  [0.92232869119, 134.97122238702, 18.91492540417],
1516  [0.94124251586, -1.10412097176, 36.00505936904],
1517  [0.87086835536, 113.31809665423, 82.67115026512],
1518  [0.87086835536, 75.08290568597, 109.50973258054],
1519  [0.88539078865, 47.02142951602, 102.48968584521],
1520  [0.92232869119, 45.02877761291, 18.91492540417],
1521  [0.92232869119, 15.46522232737, 59.32147762346],
1522  [0.90507685181, 27.13122995110, 83.69711765840],
1523  [0.89087538490, 110.30720654249, 43.11343435832],
1524  [0.87086835536, 89.99999999997, 65.61878155780],
1525  [0.87086835536, 66.68190334572, 82.67115026512],
1526  [0.89087538490, 69.69279345745, 43.11343435832],
1527  [0.89087538490, 45.90747273126, 63.18147713220]
1528  ],
1529  [
1530  [4,7,2,0],
1531  [16,17,7],
1532  [16,28,30,17],
1533  [7,17,18,9,2],
1534  [28,41,30],
1535  [34,44,41,28],
1536  [17,30,31,18],
1537  [31,25,18],
1538  [31,42,37,25],
1539  [30,41,50,42,31],
1540  [42,47,37],
1541  [50,53,47,42],
1542  [4,11,16,7],
1543  [6,11,4],
1544  [6,15,23,11],
1545  [11,23,34,28,16],
1546  [15,27,23],
1547  [35,45,40,27],
1548  [23,27,40,34],
1549  [40,44,34],
1550  [44,51,50,41],
1551  [40,45,52,51,44],
1552  [51,53,50],
1553  [52,54,53,51],
1554  [5,12,15,6],
1555  [8,12,5],
1556  [8,19,24,12],
1557  [12,24,35,27,15],
1558  [24,36,35],
1559  [19,29,36,24],
1560  [35,36,46,45],
1561  [46,52,45],
1562  [46,49,54,52],
1563  [36,29,39,49,46],
1564  [49,48,54],
1565  [39,38,48,49],
1566  [1,3,8,5],
1567  [0,2,9,13,21,22,14,10,3,1],
1568  [3,10,20,19,8],
1569  [10,14,26,20],
1570  [20,29,19],
1571  [20,26,39,29],
1572  [14,22,33,38,26],
1573  [26,38,39],
1574  [33,43,48,38],
1575  [18,25,13,9],
1576  [21,32,33,22],
1577  [13,25,37,32,21],
1578  [32,43,33],
1579  [37,47,43,32],
1580  [1,5,6,4,0],
1581  [47,53,54,48,43]
1582  ],
1583  [
1584  [0,1],
1585  [0,2],
1586  [0,4],
1587  [1,3],
1588  [1,5],
1589  [2,7],
1590  [2,9],
1591  [3,8],
1592  [3,10],
1593  [4,6],
1594  [4,7],
1595  [4,11],
1596  [5,6],
1597  [5,8],
1598  [5,12],
1599  [6,11],
1600  [6,15],
1601  [7,16],
1602  [7,17],
1603  [8,12],
1604  [8,19],
1605  [9,13],
1606  [9,18],
1607  [10,14],
1608  [10,20],
1609  [11,16],
1610  [11,23],
1611  [12,15],
1612  [12,24],
1613  [13,21],
1614  [13,25],
1615  [14,22],
1616  [14,26],
1617  [15,23],
1618  [15,27],
1619  [16,17],
1620  [16,28],
1621  [17,18],
1622  [17,30],
1623  [18,25],
1624  [18,31],
1625  [19,20],
1626  [19,24],
1627  [19,29],
1628  [20,26],
1629  [20,29],
1630  [21,22],
1631  [21,32],
1632  [22,33],
1633  [23,27],
1634  [23,34],
1635  [24,35],
1636  [24,36],
1637  [25,31],
1638  [25,37],
1639  [26,38],
1640  [26,39],
1641  [27,35],
1642  [27,40],
1643  [28,30],
1644  [28,34],
1645  [28,41],
1646  [29,36],
1647  [29,39],
1648  [30,31],
1649  [30,41],
1650  [31,42],
1651  [32,33],
1652  [32,37],
1653  [32,43],
1654  [33,38],
1655  [33,43],
1656  [34,40],
1657  [34,44],
1658  [35,36],
1659  [35,45],
1660  [36,46],
1661  [37,42],
1662  [37,47],
1663  [38,39],
1664  [38,48],
1665  [39,49],
1666  [40,44],
1667  [40,45],
1668  [41,44],
1669  [41,50],
1670  [42,47],
1671  [42,50],
1672  [43,47],
1673  [43,48],
1674  [44,51],
1675  [45,46],
1676  [45,52],
1677  [46,49],
1678  [46,52],
1679  [47,53],
1680  [48,49],
1681  [48,54],
1682  [49,54],
1683  [50,51],
1684  [50,53],
1685  [51,52],
1686  [51,53],
1687  [52,54],
1688  [53,54]
1689  ]
1690  ],
1691  [
1692  "bilunabirotunda",
1693  "Bilunabirotunda",
1694  "J91",
1695  "johnson",
1696  "Polyhedron Database #135",
1697  [
1698  [-0.35682086408, 0.57734949231, 0.35682213618],
1699  [-0.93417064306, 0.35682356646, 0.00000116931],
1700  [-0.35681953153, 0.57735068800, -0.35682057578],
1701  [ 0.35682043619, 0.57734996964, 0.35682142985],
1702  [ 0.00000000000, -0.00000066389, 0.57735009037],
1703  [-0.93417273185, -0.35682111354, 0.00000085109],
1704  [ 0.35682176874, 0.57734891250, -0.35682128211],
1705  [-0.35682213060, -0.57735066013, 0.35682255952],
1706  [ 0.93417028120, 0.35682356646, -0.00000151094],
1707  [-0.00000036186, -0.00000066389, -0.57735043200],
1708  [-0.35682291126, -0.57735066013, -0.35682212048],
1709  [ 0.35682254940, -0.57735066013, 0.35682177886],
1710  [ 0.93417236999, -0.35682111354, -0.00000119271],
1711  [ 0.35682176874, -0.57735066013, -0.35682290114]
1712  ],
1713  [
1714  [0.76679567172, 121.71742087282, 62.26765009896],
1715  [0.99999892397, 159.09472843326, 89.99993300336],
1716  [0.76679522580, 121.71727211655, 117.73223569281],
1717  [0.76679550333, 58.28263103836, 62.26770311112],
1718  [0.57735009037, -89.99999999999, 0.00006588373],
1719  [1.00000000000, -159.09490242769, 89.99995123630],
1720  [0.76679525871, 58.28248843089, 117.73229402714],
1721  [0.76679733738, -121.71745999299, 62.26767979378],
1722  [0.99999858593, 20.90527896486, 90.00008657035],
1723  [0.57735043200, -118.59337848677, 179.99992496492],
1724  [0.76679749635, -121.71751605242, 117.73227689872],
1725  [0.76679716899, -58.28250993304, 62.26773908073],
1726  [0.99999966196, -20.90510497038, 90.00006833738],
1727  [0.76679732796, -58.28256599250, 117.73234941542]
1728  ],
1729  [
1730  [10,7,11,13],
1731  [12,13,11],
1732  [4,11,7],
1733  [5,7,10],
1734  [9,10,13],
1735  [8,6,9,13,12],
1736  [4,3,8,12,11],
1737  [1,0,4,7,5],
1738  [9,2,1,5,10],
1739  [6,8,3],
1740  [0,3,4],
1741  [0,1,2],
1742  [6,2,9],
1743  [3,0,2,6]
1744  ],
1745  [
1746  [0,1],
1747  [0,2],
1748  [0,3],
1749  [0,4],
1750  [1,2],
1751  [1,5],
1752  [2,6],
1753  [2,9],
1754  [3,4],
1755  [3,6],
1756  [3,8],
1757  [4,7],
1758  [4,11],
1759  [5,7],
1760  [5,10],
1761  [6,8],
1762  [6,9],
1763  [7,10],
1764  [7,11],
1765  [8,12],
1766  [9,10],
1767  [9,13],
1768  [10,13],
1769  [11,12],
1770  [11,13],
1771  [12,13]
1772  ]
1773  ],
1774  [
1775  "diminished_rhombicosidodecahedron",
1776  "Diminished Rhombicosidodecahedron",
1777  "J76",
1778  "johnson",
1779  "Polyhedron Database #120",
1780  [
1781  [-0.00000000000, -0.01066203605, -0.94118212618],
1782  [ 0.34190442064, 0.21152092494, -0.83009064569],
1783  [-0.34190442064, 0.21152092494, -0.83009064569],
1784  [ 0.21130855286, -0.37016161865, -0.87252381538],
1785  [ 0.21130855286, 0.57102050754, -0.65034085439],
1786  [-0.21130855286, -0.37016161865, -0.87252381538],
1787  [ 0.55321297349, -0.14797865766, -0.76143233488],
1788  [-0.21130855286, 0.57102050754, -0.65034085439],
1789  [-0.55321297349, -0.14797865766, -0.76143233488],
1790  [ 0.68380884127, 0.21152092494, -0.58168254359],
1791  [-0.68380884127, 0.21152092494, -0.58168254359],
1792  [ 0.55321297349, 0.57102050754, -0.40193275229],
1793  [ 0.21130855286, -0.72966120124, -0.65034085439],
1794  [-0.55321297349, 0.57102050754, -0.40193275229],
1795  [-0.21130855286, -0.72966120124, -0.65034085439],
1796  [ 0.21130855286, 0.79320346853, -0.29084127179],
1797  [-0.21130855286, 0.79320346853, -0.29084127179],
1798  [ 0.76452152635, -0.37016161865, -0.47059106309],
1799  [ 0.89511739413, -0.01066203605, -0.29084127179],
1800  [-0.76452152635, -0.37016161865, -0.47059106309],
1801  [ 0.55321297349, -0.72966120124, -0.40193275229],
1802  [-0.89511739413, -0.01066203605, -0.29084127179],
1803  [-0.55321297349, -0.72966120124, -0.40193275229],
1804  [ 0.68380884127, 0.57102050754, -0.00000000000],
1805  [ 0.34190442064, 0.79320346853, 0.11109148049],
1806  [-0.68380884127, 0.57102050754, -0.00000000000],
1807  [ 0.89511739413, -0.37016161865, -0.06865831081],
1808  [-0.34190442064, 0.79320346853, 0.11109148049],
1809  [ 0.89511739413, 0.21152092494, 0.06865831081],
1810  [-0.89511739413, -0.37016161865, -0.06865831081],
1811  [-0.89511739413, 0.21152092494, 0.06865831081],
1812  [ 0.68380884127, -0.72966120124, 0.00000000000],
1813  [ 0.00000000000, 0.79320346853, 0.35949958260],
1814  [-0.68380884127, -0.72966120124, 0.00000000000],
1815  [ 0.55321297349, 0.57102050754, 0.40193275229],
1816  [ 0.89511739413, -0.14797865766, 0.29084127179],
1817  [-0.55321297349, 0.57102050754, 0.40193275229],
1818  [ 0.76452152635, 0.21152092494, 0.47059106309],
1819  [-0.89511739413, -0.14797865766, 0.29084127179],
1820  [-0.76452152635, 0.21152092494, 0.47059106309],
1821  [ 0.21130855286, 0.57102050754, 0.65034085439],
1822  [ 0.55321297349, -0.72966120124, 0.40193275229],
1823  [-0.21130855286, 0.57102050754, 0.65034085439],
1824  [-0.55321297349, -0.72966120124, 0.40193275229],
1825  [ 0.68380884127, -0.37016161865, 0.58168254359],
1826  [-0.68380884127, -0.37016161864, 0.58168254359],
1827  [ 0.55321297349, -0.01066203605, 0.76143233488],
1828  [ 0.21130855286, -0.72966120124, 0.65034085439],
1829  [-0.55321297349, -0.01066203605, 0.76143233488],
1830  [ 0.21130855286, 0.21152092494, 0.87252381538],
1831  [-0.21130855286, -0.72966120124, 0.65034085439],
1832  [-0.21130855286, 0.21152092494, 0.87252381538],
1833  [ 0.34190442064, -0.37016161865, 0.83009064569],
1834  [-0.34190442064, -0.37016161865, 0.83009064569],
1835  [-0.00000000000, -0.14797865766, 0.94118212618]
1836  ],
1837  [
1838  [0.94124251586, -89.99999999999, 179.35096139266],
1839  [0.92232869119, 31.74321967425, 154.15732953497],
1840  [0.92232869119, 148.25678032569, 154.15732953498],
1841  [0.97106577369, -60.27990540348, 153.96444613297],
1842  [0.89087538490, 69.69279345744, 136.88656564167],
1843  [0.97106577369, -119.72009459652, 153.96444613297],
1844  [0.95274418275, -14.97542269353, 143.05369410523],
1845  [0.89087538490, 110.30720654250, 136.88656564167],
1846  [0.95274418275, -165.02457730649, 143.05369410524],
1847  [0.92232869119, 17.18827980458, 129.09937175185],
1848  [0.92232869119, 162.81172019538, 129.09937175186],
1849  [0.89087538490, 45.90747273127, 116.81852286779],
1850  [1.00000000000, -73.84908007911, 130.56730576486],
1851  [0.89087538490, 134.09252726868, 116.81852286780],
1852  [1.00000000000, -106.15091992089, 130.56730576486],
1853  [0.87086835536, 75.08290568597, 109.50973258055],
1854  [0.87086835536, 104.91709431399, 109.50973258056],
1855  [0.97106577369, -25.83506939225, 118.98711799516],
1856  [0.94124251586, -0.68243649609, 107.99880557643],
1857  [0.97106577369, -154.16493060776, 118.98711799517],
1858  [1.00000000000, -52.83140092207, 113.69905988308],
1859  [0.94124251586, -179.31756350393, 107.99880557645],
1860  [1.00000000000, -127.16859907795, 113.69905988309],
1861  [0.89087538490, 39.86386227369, 90.00000000000],
1862  [0.87086835536, 66.68190334573, 82.67115026513],
1863  [0.89087538490, 140.13613772627, 90.00000000001],
1864  [0.97106577369, -22.46676578634, 94.05442815563],
1865  [0.87086835536, 113.31809665424, 82.67115026513],
1866  [0.92232869119, 13.29540111333, 85.73094312148],
1867  [0.97106577369, -157.53323421367, 94.05442815564],
1868  [0.92232869119, 166.70459888663, 85.73094312148],
1869  [1.00000000000, -46.85799887624, 89.99999999998],
1870  [0.87086835536, 89.99999999998, 65.61878155780],
1871  [1.00000000000, -133.14200112378, 89.99999999999],
1872  [0.89087538490, 45.90747273128, 63.18147713220],
1873  [0.95274418275, -9.38709894171, 72.22577748956],
1874  [0.89087538490, 134.09252726869, 63.18147713220],
1875  [0.92232869119, 15.46522232737, 59.32147762345],
1876  [0.95274418275, -170.61290105831, 72.22577748956],
1877  [0.92232869119, 164.53477767258, 59.32147762346],
1878  [0.89087538490, 69.69279345747, 43.11343435832],
1879  [1.00000000000, -52.83140092207, 66.30094011689],
1880  [0.89087538490, 110.30720654251, 43.11343435833],
1881  [1.00000000000, -127.16859907795, 66.30094011689],
1882  [0.97106577369, -28.42771323078, 53.20064626834],
1883  [0.97106577369, -151.57228676924, 53.20064626835],
1884  [0.94124251586, -1.10412097174, 36.00505936904],
1885  [1.00000000000, -73.84908007912, 49.43269423512],
1886  [0.94124251586, -178.89587902827, 36.00505936904],
1887  [0.92232869119, 45.02877761295, 18.91492540417],
1888  [1.00000000000, -106.15091992091, 49.43269423512],
1889  [0.92232869119, 134.97122238703, 18.91492540417],
1890  [0.97106577369, -47.27249867041, 31.25966748280],
1891  [0.97106577369, -132.72750132962, 31.25966748281],
1892  [0.95274418275, -90.00000000003, 8.93526016570]
1893  ],
1894  [
1895  [26,17,20,31],
1896  [18,17,26],
1897  [18,9,6,17],
1898  [17,6,3,12,20],
1899  [9,1,6],
1900  [11,4,1,9],
1901  [6,1,0,3],
1902  [0,5,3],
1903  [0,2,8,5],
1904  [1,4,7,2,0],
1905  [2,10,8],
1906  [7,13,10,2],
1907  [35,28,18,26],
1908  [37,28,35],
1909  [37,34,23,28],
1910  [28,23,11,9,18],
1911  [34,24,23],
1912  [40,32,24,34],
1913  [23,24,15,11],
1914  [15,4,11],
1915  [15,16,7,4],
1916  [24,32,27,16,15],
1917  [16,13,7],
1918  [27,25,13,16],
1919  [44,46,37,35],
1920  [52,46,44],
1921  [52,54,49,46],
1922  [46,49,40,34,37],
1923  [54,51,49],
1924  [53,48,51,54],
1925  [49,51,42,40],
1926  [42,32,40],
1927  [42,36,27,32],
1928  [51,48,39,36,42],
1929  [36,25,27],
1930  [39,30,25,36],
1931  [41,47,52,44],
1932  [31,20,12,14,22,33,43,50,47,41],
1933  [47,50,53,54,52],
1934  [50,43,45,53],
1935  [45,48,53],
1936  [45,38,39,48],
1937  [43,33,29,38,45],
1938  [38,30,39],
1939  [29,21,30,38],
1940  [3,5,14,12],
1941  [22,19,29,33],
1942  [14,5,8,19,22],
1943  [19,21,29],
1944  [8,10,21,19],
1945  [41,44,35,26,31],
1946  [10,13,25,30,21]
1947  ],
1948  [
1949  [0,1],
1950  [0,2],
1951  [0,3],
1952  [0,5],
1953  [1,4],
1954  [1,6],
1955  [1,9],
1956  [2,7],
1957  [2,8],
1958  [2,10],
1959  [3,5],
1960  [3,6],
1961  [3,12],
1962  [4,7],
1963  [4,11],
1964  [4,15],
1965  [5,8],
1966  [5,14],
1967  [6,9],
1968  [6,17],
1969  [7,13],
1970  [7,16],
1971  [8,10],
1972  [8,19],
1973  [9,11],
1974  [9,18],
1975  [10,13],
1976  [10,21],
1977  [11,15],
1978  [11,23],
1979  [12,14],
1980  [12,20],
1981  [13,16],
1982  [13,25],
1983  [14,22],
1984  [15,16],
1985  [15,24],
1986  [16,27],
1987  [17,18],
1988  [17,20],
1989  [17,26],
1990  [18,26],
1991  [18,28],
1992  [19,21],
1993  [19,22],
1994  [19,29],
1995  [20,31],
1996  [21,29],
1997  [21,30],
1998  [22,33],
1999  [23,24],
2000  [23,28],
2001  [23,34],
2002  [24,32],
2003  [24,34],
2004  [25,27],
2005  [25,30],
2006  [25,36],
2007  [26,31],
2008  [26,35],
2009  [27,32],
2010  [27,36],
2011  [28,35],
2012  [28,37],
2013  [29,33],
2014  [29,38],
2015  [30,38],
2016  [30,39],
2017  [31,41],
2018  [32,40],
2019  [32,42],
2020  [33,43],
2021  [34,37],
2022  [34,40],
2023  [35,37],
2024  [35,44],
2025  [36,39],
2026  [36,42],
2027  [37,46],
2028  [38,39],
2029  [38,45],
2030  [39,48],
2031  [40,42],
2032  [40,49],
2033  [41,44],
2034  [41,47],
2035  [42,51],
2036  [43,45],
2037  [43,50],
2038  [44,46],
2039  [44,52],
2040  [45,48],
2041  [45,53],
2042  [46,49],
2043  [46,52],
2044  [47,50],
2045  [47,52],
2046  [48,51],
2047  [48,53],
2048  [49,51],
2049  [49,54],
2050  [50,53],
2051  [51,54],
2052  [52,54],
2053  [53,54]
2054  ]
2055  ],
2056  [
2057  "disphenocingulum",
2058  "Disphenocingulum",
2059  "J90",
2060  "johnson",
2061  "Polyhedron Database #134",
2062  [
2063  [ 0.00000000000, -0.91099133441, -0.41242344695],
2064  [-0.00000026941, -0.26807547450, -0.92917444640],
2065  [-0.63276566284, -0.38185995726, -0.41242285227],
2066  [-0.00000000000, -0.91099226144, 0.41242344695],
2067  [ 0.63276548747, -0.38185974754, -0.41242285227],
2068  [-0.63276566284, -0.38186088429, 0.41242404163],
2069  [-0.41242406575, 0.38186068828, -0.63276369390],
2070  [-0.92917618537, 0.26807755920, 0.00000096470],
2071  [ 0.63276548747, -0.38186067457, 0.41242404163],
2072  [ 0.41242213988, 0.38186051513, -0.63276470534],
2073  [ 0.00000005633, -0.26807756307, 0.92917589152],
2074  [ 0.92917573249, 0.26807647101, -0.00000055446],
2075  [-0.41242245950, 0.38186097642, 0.63276511948],
2076  [-0.41242261897, 0.91099145800, -0.00000168831],
2077  [ 0.41242374613, 0.38186018357, 0.63276410804],
2078  [ 0.41242427492, 0.91099004546, -0.00000337405]
2079  ],
2080  [
2081  [0.99999915548, -89.99999999999, 114.35718504061],
2082  [0.96707270248, -90.00005758053, 163.90665705704],
2083  [0.84634627671, -148.88995597866, 119.16314147038],
2084  [1.00000000000, -89.99999999999, 65.64283686524],
2085  [0.84634605097, -31.11003712587, 119.16314999824],
2086  [0.84634727455, -148.88989444680, 60.83680402029],
2087  [0.84634572580, 137.20360395663, 138.38653985796],
2088  [0.96707495118, 163.90656694593, 89.99994284506],
2089  [0.84634704881, -31.11009865775, 60.83679549241],
2090  [0.84634546540, 42.79651647173, 138.38666280992],
2091  [0.96707466992, -89.99998796164, 16.09343810026],
2092  [0.96707421440, 16.09337854721, 90.00003285006],
2093  [0.84634613891, 137.20347115975, 41.61334630397],
2094  [0.99999892660, 114.35713890324, 90.00009673303],
2095  [0.84634565196, 42.79638042682, 41.61341229735],
2096  [0.99999832274, 65.64274128447, 90.00019331888]
2097  ],
2098  [
2099  [7,6,13],
2100  [15,13,6,9],
2101  [11,15,9],
2102  [7,13,12],
2103  [14,12,13,15],
2104  [11,14,15],
2105  [14,10,12],
2106  [5,7,12],
2107  [10,5,12],
2108  [3,5,10],
2109  [3,0,2,5],
2110  [2,6,7],
2111  [2,7,5],
2112  [1,6,2],
2113  [0,1,2],
2114  [8,4,0,3],
2115  [8,3,10],
2116  [14,8,10],
2117  [14,11,8],
2118  [11,4,8],
2119  [9,4,11],
2120  [6,1,9],
2121  [9,1,4],
2122  [4,1,0]
2123  ],
2124  [
2125  [0,1],
2126  [0,2],
2127  [0,3],
2128  [0,4],
2129  [1,2],
2130  [1,4],
2131  [1,6],
2132  [1,9],
2133  [2,5],
2134  [2,6],
2135  [2,7],
2136  [3,5],
2137  [3,8],
2138  [3,10],
2139  [4,8],
2140  [4,9],
2141  [4,11],
2142  [5,7],
2143  [5,10],
2144  [5,12],
2145  [6,7],
2146  [6,9],
2147  [6,13],
2148  [7,12],
2149  [7,13],
2150  [8,10],
2151  [8,11],
2152  [8,14],
2153  [9,11],
2154  [9,15],
2155  [10,12],
2156  [10,14],
2157  [11,14],
2158  [11,15],
2159  [12,13],
2160  [12,14],
2161  [13,15],
2162  [14,15]
2163  ]
2164  ],
2165  [
2166  "elongated_pentagonal_cupola",
2167  "Elongated Pentagonal Cupola",
2168  "J20",
2169  "johnson",
2170  "Polyhedron Database #64",
2171  [
2172  [-0.28328429192, 0.16705488720, -0.87185940159],
2173  [-0.74164790473, 0.16705488720, -0.53883874359],
2174  [ 0.28328429192, 0.16705488720, -0.87185940159],
2175  [-0.28328429192, 0.46491761888, -0.38990737776],
2176  [-0.28328429192, -0.39951369664, -0.87185940159],
2177  [-0.74164790473, -0.39951369664, -0.53883874360],
2178  [ 0.28328429192, 0.46491761888, -0.38990737776],
2179  [-0.91672722562, 0.16705488720, 0.00000000000],
2180  [ 0.28328429192, -0.39951369664, -0.87185940159],
2181  [-0.45836361281, 0.46491761888, 0.14893136584],
2182  [ 0.74164790473, 0.16705488720, -0.53883874359],
2183  [-0.91672722562, -0.39951369664, -0.00000000000],
2184  [ 0.45836361281, 0.46491761888, 0.14893136584],
2185  [-0.74164790473, 0.16705488720, 0.53883874359],
2186  [ 0.74164790473, -0.39951369664, -0.53883874359],
2187  [ 0.00000000000, 0.46491761888, 0.48195202384],
2188  [ 0.91672722562, 0.16705488720, 0.00000000000],
2189  [-0.74164790473, -0.39951369664, 0.53883874359],
2190  [-0.28328429192, 0.16705488720, 0.87185940159],
2191  [ 0.91672722562, -0.39951369664, -0.00000000000],
2192  [ 0.74164790473, 0.16705488720, 0.53883874359],
2193  [ 0.28328429192, 0.16705488720, 0.87185940159],
2194  [-0.28328429192, -0.39951369664, 0.87185940159],
2195  [ 0.74164790473, -0.39951369664, 0.53883874359],
2196  [ 0.28328429192, -0.39951369664, 0.87185940159]
2197  ],
2198  [
2199  [0.93182409366, 149.47182597893, 159.33309630884],
2200  [0.93182409366, 167.30607932837, 125.32841466616],
2201  [0.93182409366, 30.52817402105, 159.33309630884],
2202  [0.66964628396, 121.35484908292, 125.60956519624],
2203  [1.00000000000, -125.33941614972, 150.67543818218],
2204  [1.00000000000, -151.68937377151, 122.60462203056],
2205  [0.66964628396, 58.64515091705, 125.60956519625],
2206  [0.93182409366, 169.67233386045, 89.99999999999],
2207  [1.00000000000, -54.66058385029, 150.67543818217],
2208  [0.66964628396, 134.59328689184, 77.14978588814],
2209  [0.93182409366, 12.69392067161, 125.32841466616],
2210  [1.00000000000, -156.45221917111, 90.00000000000],
2211  [0.66964628396, 45.40671310815, 77.14978588814],
2212  [0.93182409366, 167.30607932839, 54.67158533383],
2213  [1.00000000000, -28.31062622849, 122.60462203056],
2214  [0.66964628396, 89.99999999999, 43.96934678934],
2215  [0.93182409366, 10.32766613953, 89.99999999999],
2216  [1.00000000000, -151.68937377150, 57.39537796944],
2217  [0.93182409366, 149.47182597897, 20.66690369115],
2218  [1.00000000000, -23.54778082888, 90.00000000000],
2219  [0.93182409366, 12.69392067159, 54.67158533382],
2220  [0.93182409366, 30.52817402101, 20.66690369114],
2221  [1.00000000000, -125.33941614971, 29.32456181783],
2222  [1.00000000000, -28.31062622849, 57.39537796944],
2223  [1.00000000000, -54.66058385030, 29.32456181783]
2224  ],
2225  [
2226  [24,23,19,14,8,4,5,11,17,22],
2227  [0,4,8,2],
2228  [1,5,4,0],
2229  [7,11,5,1],
2230  [13,17,11,7],
2231  [18,22,17,13],
2232  [21,24,22,18],
2233  [20,23,24,21],
2234  [16,19,23,20],
2235  [10,14,19,16],
2236  [2,8,14,10],
2237  [3,6,12,15,9],
2238  [18,13,9,15],
2239  [21,18,15],
2240  [20,21,15,12],
2241  [16,20,12],
2242  [10,16,12,6],
2243  [2,10,6],
2244  [0,2,6,3],
2245  [1,0,3],
2246  [7,1,3,9],
2247  [13,7,9]
2248  ],
2249  [
2250  [0,1],
2251  [0,2],
2252  [0,3],
2253  [0,4],
2254  [1,3],
2255  [1,5],
2256  [1,7],
2257  [2,6],
2258  [2,8],
2259  [2,10],
2260  [3,6],
2261  [3,9],
2262  [4,5],
2263  [4,8],
2264  [5,11],
2265  [6,10],
2266  [6,12],
2267  [7,9],
2268  [7,11],
2269  [7,13],
2270  [8,14],
2271  [9,13],
2272  [9,15],
2273  [10,14],
2274  [10,16],
2275  [11,17],
2276  [12,15],
2277  [12,16],
2278  [12,20],
2279  [13,17],
2280  [13,18],
2281  [14,19],
2282  [15,18],
2283  [15,21],
2284  [16,19],
2285  [16,20],
2286  [17,22],
2287  [18,21],
2288  [18,22],
2289  [19,23],
2290  [20,21],
2291  [20,23],
2292  [21,24],
2293  [22,24],
2294  [23,24]
2295  ]
2296  ],
2297  [
2298  "elongated_pentagonal_dipyramid",
2299  "Elongated Pentagonal Dipyramid",
2300  "J16",
2301  "johnson",
2302  "Polyhedron Database #60",
2303  [
2304  [-0.78872229263, 0.48745718453, -0.25627140773],
2305  [-0.48745718453, 0.48745718453, 0.67092725579],
2306  [-0.78872229263, -0.48745718453, -0.25627140773],
2307  [ 0.00000000000, 1.00000000000, 0.00000000000],
2308  [-0.48745718453, -0.48745718453, 0.67092725579],
2309  [-0.00000000000, 0.48745718453, -0.82931169612],
2310  [ 0.00000000000, -0.48745718453, -0.82931169612],
2311  [ 0.48745718453, 0.48745718453, 0.67092725579],
2312  [-0.00000000000, -1.00000000000, 0.00000000000],
2313  [ 0.78872229263, 0.48745718453, -0.25627140773],
2314  [ 0.48745718453, -0.48745718453, 0.67092725579],
2315  [ 0.78872229263, -0.48745718453, -0.25627140773]
2316  ],
2317  [
2318  [0.96196278310, 148.28252558853, 105.45043708632],
2319  [0.96196278310, 135.00000000000, 45.77670183608],
2320  [0.96196278310, -148.28252558853, 105.45043708632],
2321  [1.00000000000, 89.99999999999, 89.99999999999],
2322  [0.96196278310, -134.99999999999, 45.77670183608],
2323  [0.96196278310, 89.99999999999, 149.55361568292],
2324  [0.96196278310, -89.99999999999, 149.55361568292],
2325  [0.96196278310, 45.00000000000, 45.77670183608],
2326  [1.00000000000, -89.99999999999, 89.99999999999],
2327  [0.96196278310, 31.71747441146, 105.45043708632],
2328  [0.96196278310, -44.99999999999, 45.77670183608],
2329  [0.96196278310, -31.71747441146, 105.45043708632]
2330  ],
2331  [
2332  [7,9,11,10],
2333  [8,10,11],
2334  [3,9,7],
2335  [9,5,6,11],
2336  [8,11,6],
2337  [3,5,9],
2338  [5,0,2,6],
2339  [8,6,2],
2340  [3,0,5],
2341  [0,1,4,2],
2342  [8,2,4],
2343  [3,1,0],
2344  [1,7,10,4],
2345  [8,4,10],
2346  [3,7,1]
2347  ],
2348  [
2349  [0,1],
2350  [0,2],
2351  [0,3],
2352  [0,5],
2353  [1,3],
2354  [1,4],
2355  [1,7],
2356  [2,4],
2357  [2,6],
2358  [2,8],
2359  [3,5],
2360  [3,7],
2361  [3,9],
2362  [4,8],
2363  [4,10],
2364  [5,6],
2365  [5,9],
2366  [6,8],
2367  [6,11],
2368  [7,9],
2369  [7,10],
2370  [8,10],
2371  [8,11],
2372  [9,11],
2373  [10,11]
2374  ]
2375  ],
2376  [
2377  "elongated_pentagonal_gyrobicupola",
2378  "Elongated Pentagonal Gyrobicupola",
2379  "J39",
2380  "johnson",
2381  "Polyhedron Database #83",
2382  [
2383  [ 0.95542256322, -0.29524180884, 0.00000000000],
2384  [ 0.95542256322, 0.29524180884, 0.00000000000],
2385  [ 0.77295309045, -0.29524180884, -0.56158329237],
2386  [ 0.77295309045, 0.29524180884, -0.56158329237],
2387  [ 0.77295309045, -0.29524180884, 0.56158329237],
2388  [ 0.77295309045, 0.29524180884, 0.56158329237],
2389  [ 0.47771128161, -0.60567741786, -0.15521780451],
2390  [ 0.29524180884, -0.29524180884, -0.90866085457],
2391  [ 0.29524180884, 0.29524180884, -0.90866085457],
2392  [ 0.47771128161, 0.60567741786, 0.15521780451],
2393  [ 0.29524180884, 0.60567741786, -0.40636548786],
2394  [ 0.29524180884, -0.60567741786, 0.40636548786],
2395  [ 0.00000000000, -0.60567741786, -0.50229536671],
2396  [ 0.29524180884, -0.29524180884, 0.90866085457],
2397  [ 0.29524180884, 0.29524180884, 0.90866085457],
2398  [-0.29524180884, -0.29524180884, -0.90866085457],
2399  [-0.29524180884, 0.29524180884, -0.90866085457],
2400  [-0.00000000000, 0.60567741786, 0.50229536671],
2401  [-0.29524180884, 0.60567741786, -0.40636548786],
2402  [-0.29524180884, -0.60567741786, 0.40636548786],
2403  [-0.47771128161, -0.60567741786, -0.15521780451],
2404  [-0.29524180884, -0.29524180884, 0.90866085457],
2405  [-0.29524180884, 0.29524180884, 0.90866085457],
2406  [-0.47771128161, 0.60567741786, 0.15521780451],
2407  [-0.77295309045, -0.29524180884, -0.56158329237],
2408  [-0.77295309045, 0.29524180884, -0.56158329237],
2409  [-0.77295309045, -0.29524180884, 0.56158329237],
2410  [-0.77295309045, 0.29524180884, 0.56158329237],
2411  [-0.95542256322, -0.29524180884, -0.00000000000],
2412  [-0.95542256322, 0.29524180884, -0.00000000000]
2413  ],
2414  [
2415  [1.00000000000, -17.17203785052, 89.99999999999],
2416  [1.00000000000, 17.17203785052, 89.99999999999],
2417  [1.00000000000, -20.90515744788, 124.16536382817],
2418  [1.00000000000, 20.90515744789, 124.16536382816],
2419  [1.00000000000, -20.90515744789, 55.83463617183],
2420  [1.00000000000, 20.90515744789, 55.83463617182],
2421  [0.78685816379, -51.73636802935, 101.37693750355],
2422  [1.00000000000, -44.99999999999, 155.32094261067],
2423  [1.00000000000, 45.00000000000, 155.32094261066],
2424  [0.78685816379, 51.73636802935, 78.62306249645],
2425  [0.78685816379, 64.01274853923, 121.09379417367],
2426  [0.78685816379, -64.01274853925, 58.90620582632],
2427  [0.78685816379, -89.99999999999, 129.66931460377],
2428  [1.00000000000, -45.00000000000, 24.67905738933],
2429  [1.00000000000, 44.99999999998, 24.67905738932],
2430  [1.00000000000, -135.00000000001, 155.32094261067],
2431  [1.00000000000, 134.99999999999, 155.32094261066],
2432  [0.78685816379, 89.99999999999, 50.33068539622],
2433  [0.78685816379, 115.98725146074, 121.09379417367],
2434  [0.78685816379, -115.98725146076, 58.90620582632],
2435  [0.78685816379, -128.26363197064, 101.37693750354],
2436  [1.00000000000, -134.99999999999, 24.67905738933],
2437  [1.00000000000, 135.00000000000, 24.67905738931],
2438  [0.78685816379, 128.26363197064, 78.62306249644],
2439  [1.00000000000, -159.09484255210, 124.16536382817],
2440  [1.00000000000, 159.09484255210, 124.16536382816],
2441  [1.00000000000, -159.09484255209, 55.83463617183],
2442  [1.00000000000, 159.09484255211, 55.83463617182],
2443  [1.00000000000, -162.82796214947, 89.99999999999],
2444  [1.00000000000, 162.82796214947, 89.99999999999]
2445  ],
2446  [
2447  [12,20,19,11,6],
2448  [4,0,6,11],
2449  [13,4,11],
2450  [21,13,11,19],
2451  [26,21,19],
2452  [28,26,19,20],
2453  [24,28,20],
2454  [15,24,20,12],
2455  [7,15,12],
2456  [2,7,12,6],
2457  [0,2,6],
2458  [23,18,10,9,17],
2459  [5,14,17,9],
2460  [1,5,9],
2461  [3,1,9,10],
2462  [8,3,10],
2463  [16,8,10,18],
2464  [25,16,18],
2465  [29,25,18,23],
2466  [27,29,23],
2467  [22,27,23,17],
2468  [14,22,17],
2469  [15,16,25,24],
2470  [7,8,16,15],
2471  [2,3,8,7],
2472  [0,1,3,2],
2473  [4,5,1,0],
2474  [13,14,5,4],
2475  [21,22,14,13],
2476  [26,27,22,21],
2477  [28,29,27,26],
2478  [24,25,29,28]
2479  ],
2480  [
2481  [0,1],
2482  [0,2],
2483  [0,4],
2484  [0,6],
2485  [1,3],
2486  [1,5],
2487  [1,9],
2488  [2,3],
2489  [2,6],
2490  [2,7],
2491  [3,8],
2492  [3,10],
2493  [4,5],
2494  [4,11],
2495  [4,13],
2496  [5,9],
2497  [5,14],
2498  [6,11],
2499  [6,12],
2500  [7,8],
2501  [7,12],
2502  [7,15],
2503  [8,10],
2504  [8,16],
2505  [9,10],
2506  [9,17],
2507  [10,18],
2508  [11,13],
2509  [11,19],
2510  [12,15],
2511  [12,20],
2512  [13,14],
2513  [13,21],
2514  [14,17],
2515  [14,22],
2516  [15,16],
2517  [15,24],
2518  [16,18],
2519  [16,25],
2520  [17,22],
2521  [17,23],
2522  [18,23],
2523  [18,25],
2524  [19,20],
2525  [19,21],
2526  [19,26],
2527  [20,24],
2528  [20,28],
2529  [21,22],
2530  [21,26],
2531  [22,27],
2532  [23,27],
2533  [23,29],
2534  [24,25],
2535  [24,28],
2536  [25,29],
2537  [26,27],
2538  [26,28],
2539  [27,29],
2540  [28,29]
2541  ]
2542  ],
2543  [
2544  "elongated_pentagonal_gyrobirotunda",
2545  "Elongated Pentagonal Gyrobirotunda",
2546  "J43",
2547  "johnson",
2548  "Polyhedron Database #87",
2549  [
2550  [-0.00000000000, -0.91077745739, 0.41289759398],
2551  [-0.39268894732, -0.91077745739, 0.12759237348],
2552  [-0.39268894732, -0.65559271043, 0.54048996746],
2553  [ 0.39268894732, -0.91077745739, 0.12759237348],
2554  [ 0.39268894732, -0.65559271043, 0.54048996746],
2555  [-0.24269511645, -0.91077745739, -0.33404117047],
2556  [ 0.24269511645, -0.91077745739, -0.33404117047],
2557  [-0.24269511645, -0.24269511645, 0.74693876445],
2558  [-0.63538406377, -0.65559271043, -0.20644879699],
2559  [ 0.24269511645, -0.24269511645, 0.74693876445],
2560  [-0.63538406377, -0.24269511645, 0.46163354395],
2561  [ 0.63538406377, -0.65559271043, -0.20644879699],
2562  [ 0.63538406377, -0.24269511645, 0.46163354395],
2563  [-0.78537789464, -0.24269511645, -0.00000000000],
2564  [ 0.00000000000, -0.65559271043, -0.66808234094],
2565  [-0.24269511645, 0.24269511645, 0.74693876445],
2566  [ 0.78537789464, -0.24269511645, 0.00000000000],
2567  [ 0.24269511645, 0.24269511645, 0.74693876445],
2568  [-0.63538406377, 0.24269511645, 0.46163354395],
2569  [-0.63538406377, -0.24269511645, -0.46163354395],
2570  [ 0.63538406377, 0.24269511645, 0.46163354395],
2571  [ 0.63538406377, -0.24269511645, -0.46163354395],
2572  [-0.24269511645, -0.24269511645, -0.74693876445],
2573  [-0.78537789464, 0.24269511645, -0.00000000000],
2574  [ 0.24269511645, -0.24269511645, -0.74693876445],
2575  [-0.00000000000, 0.65559271043, 0.66808234094],
2576  [ 0.78537789464, 0.24269511645, 0.00000000000],
2577  [-0.63538406377, 0.24269511645, -0.46163354395],
2578  [-0.63538406377, 0.65559271043, 0.20644879699],
2579  [ 0.63538406377, 0.24269511645, -0.46163354395],
2580  [-0.24269511645, 0.24269511645, -0.74693876445],
2581  [ 0.63538406377, 0.65559271043, 0.20644879699],
2582  [ 0.24269511645, 0.24269511645, -0.74693876445],
2583  [-0.24269511645, 0.91077745739, 0.33404117047],
2584  [ 0.24269511645, 0.91077745739, 0.33404117047],
2585  [-0.39268894732, 0.65559271043, -0.54048996746],
2586  [-0.39268894732, 0.91077745739, -0.12759237348],
2587  [ 0.39268894732, 0.65559271043, -0.54048996746],
2588  [ 0.39268894732, 0.91077745739, -0.12759237348],
2589  [ 0.00000000000, 0.91077745739, -0.41289759398]
2590  ],
2591  [
2592  [1.00000000000, -90.00000000000, 65.61301243341],
2593  [1.00000000000, -113.32367419882, 82.66951315513],
2594  [0.93602126912, -120.92089564577, 54.72977482643],
2595  [1.00000000000, -66.67632580118, 82.66951315513],
2596  [0.93602126912, -59.07910435423, 54.72977482643],
2597  [1.00000000000, -104.92091111802, 109.51424256836],
2598  [1.00000000000, -75.07908888197, 109.51424256836],
2599  [0.82202150637, -134.99999999999, 24.67905738933],
2600  [0.93602126912, -134.10317859661, 102.74192321090],
2601  [0.82202150637, -45.00000000001, 24.67905738933],
2602  [0.82202150637, -159.09484255210, 55.83463617183],
2603  [0.93602126912, -45.89682140339, 102.74192321089],
2604  [0.82202150637, -20.90515744789, 55.83463617183],
2605  [0.82202150637, -162.82796214948, 90.00000000000],
2606  [0.93602126912, -89.99999999999, 135.54060237763],
2607  [0.82202150637, 135.00000000000, 24.67905738933],
2608  [0.82202150637, -17.17203785051, 89.99999999999],
2609  [0.82202150637, 45.00000000000, 24.67905738932],
2610  [0.82202150637, 159.09484255210, 55.83463617182],
2611  [0.82202150637, -159.09484255210, 124.16536382816],
2612  [0.82202150637, 20.90515744789, 55.83463617182],
2613  [0.82202150637, -20.90515744789, 124.16536382816],
2614  [0.82202150637, -134.99999999999, 155.32094261067],
2615  [0.82202150637, 162.82796214948, 89.99999999999],
2616  [0.82202150637, -44.99999999999, 155.32094261066],
2617  [0.93602126912, 89.99999999999, 44.45939762235],
2618  [0.82202150637, 17.17203785051, 89.99999999999],
2619  [0.82202150637, 159.09484255209, 124.16536382816],
2620  [0.93602126912, 134.10317859660, 77.25807678910],
2621  [0.82202150637, 20.90515744789, 124.16536382816],
2622  [0.82202150637, 134.99999999998, 155.32094261066],
2623  [0.93602126912, 45.89682140338, 77.25807678908],
2624  [0.82202150637, 45.00000000000, 155.32094261066],
2625  [1.00000000000, 104.92091111802, 70.48575743163],
2626  [1.00000000000, 75.07908888197, 70.48575743163],
2627  [0.93602126912, 120.92089564576, 125.27022517356],
2628  [1.00000000000, 113.32367419881, 97.33048684486],
2629  [0.93602126912, 59.07910435422, 125.27022517356],
2630  [1.00000000000, 66.67632580117, 97.33048684486],
2631  [1.00000000000, 89.99999999999, 114.38698756658]
2632  ],
2633  [
2634  [3,6,5,1,0],
2635  [2,7,9,4,0],
2636  [1,2,0],
2637  [10,7,2],
2638  [8,13,10,2,1],
2639  [5,8,1],
2640  [19,13,8],
2641  [14,22,19,8,5],
2642  [6,14,5],
2643  [24,22,14],
2644  [11,21,24,14,6],
2645  [3,11,6],
2646  [16,21,11],
2647  [4,12,16,11,3],
2648  [0,4,3],
2649  [9,12,4],
2650  [36,39,38,34,33],
2651  [25,15,18,28,33],
2652  [34,25,33],
2653  [17,15,25],
2654  [31,20,17,25,34],
2655  [38,31,34],
2656  [26,20,31],
2657  [37,29,26,31,38],
2658  [39,37,38],
2659  [32,29,37],
2660  [35,30,32,37,39],
2661  [36,35,39],
2662  [27,30,35],
2663  [28,23,27,35,36],
2664  [33,28,36],
2665  [18,23,28],
2666  [21,29,32,24],
2667  [16,26,29,21],
2668  [12,20,26,16],
2669  [9,17,20,12],
2670  [7,15,17,9],
2671  [10,18,15,7],
2672  [13,23,18,10],
2673  [19,27,23,13],
2674  [22,30,27,19],
2675  [24,32,30,22]
2676  ],
2677  [
2678  [0,1],
2679  [0,2],
2680  [0,3],
2681  [0,4],
2682  [1,2],
2683  [1,5],
2684  [1,8],
2685  [2,7],
2686  [2,10],
2687  [3,4],
2688  [3,6],
2689  [3,11],
2690  [4,9],
2691  [4,12],
2692  [5,6],
2693  [5,8],
2694  [5,14],
2695  [6,11],
2696  [6,14],
2697  [7,9],
2698  [7,10],
2699  [7,15],
2700  [8,13],
2701  [8,19],
2702  [9,12],
2703  [9,17],
2704  [10,13],
2705  [10,18],
2706  [11,16],
2707  [11,21],
2708  [12,16],
2709  [12,20],
2710  [13,19],
2711  [13,23],
2712  [14,22],
2713  [14,24],
2714  [15,17],
2715  [15,18],
2716  [15,25],
2717  [16,21],
2718  [16,26],
2719  [17,20],
2720  [17,25],
2721  [18,23],
2722  [18,28],
2723  [19,22],
2724  [19,27],
2725  [20,26],
2726  [20,31],
2727  [21,24],
2728  [21,29],
2729  [22,24],
2730  [22,30],
2731  [23,27],
2732  [23,28],
2733  [24,32],
2734  [25,33],
2735  [25,34],
2736  [26,29],
2737  [26,31],
2738  [27,30],
2739  [27,35],
2740  [28,33],
2741  [28,36],
2742  [29,32],
2743  [29,37],
2744  [30,32],
2745  [30,35],
2746  [31,34],
2747  [31,38],
2748  [32,37],
2749  [33,34],
2750  [33,36],
2751  [34,38],
2752  [35,36],
2753  [35,39],
2754  [36,39],
2755  [37,38],
2756  [37,39],
2757  [38,39]
2758  ]
2759  ],
2760  [
2761  "elongated_pentagonal_gyrocupolarotunda",
2762  "Elongated Pentagonal Gyrocupolarotunda",
2763  "J41",
2764  "johnson",
2765  "Polyhedron Database #85",
2766  [
2767  [-0.89321946966, -0.44962092814, -0.00000000000],
2768  [-0.72262973066, -0.44962092814, 0.52502123133],
2769  [-0.89321946966, 0.10241906353, 0.00000000000],
2770  [-0.72262973066, -0.44962092814, -0.52502123133],
2771  [-0.72262973066, 0.10241906353, 0.52502123133],
2772  [-0.44660973483, -0.73984552689, 0.14511229938],
2773  [-0.72262973066, 0.10241906353, -0.52502123133],
2774  [-0.72262973066, 0.57201232868, 0.23479663258],
2775  [-0.27601999583, -0.44962092814, 0.84950219710],
2776  [-0.27601999583, -0.73984552689, -0.37990893195],
2777  [-0.27601999583, -0.44962092814, -0.84950219710],
2778  [-0.27601999583, 0.10241906353, 0.84950219710],
2779  [-0.00000000000, -0.73984552689, 0.46959326515],
2780  [-0.44660973483, 0.57201232868, -0.61470556453],
2781  [-0.27601999583, 0.10241906353, -0.84950219710],
2782  [-0.44660973483, 0.86223692743, -0.14511229938],
2783  [-0.27601999583, 0.86223692743, 0.37990893195],
2784  [ 0.27601999583, -0.44962092814, 0.84950219710],
2785  [ 0.27601999583, -0.73984552689, -0.37990893195],
2786  [ 0.00000000000, 0.57201232868, 0.75981786390],
2787  [ 0.44660973483, -0.73984552689, 0.14511229938],
2788  [ 0.27601999583, -0.44962092814, -0.84950219710],
2789  [ 0.27601999583, 0.10241906353, 0.84950219710],
2790  [-0.00000000000, 0.86223692743, -0.46959326515],
2791  [ 0.27601999583, 0.10241906353, -0.84950219710],
2792  [ 0.72262973066, -0.44962092814, 0.52502123133],
2793  [ 0.27601999583, 0.86223692743, 0.37990893195],
2794  [ 0.72262973066, -0.44962092814, -0.52502123133],
2795  [ 0.44660973483, 0.57201232868, -0.61470556453],
2796  [ 0.72262973066, 0.10241906353, 0.52502123133],
2797  [ 0.89321946966, -0.44962092814, -0.00000000000],
2798  [ 0.44660973483, 0.86223692743, -0.14511229938],
2799  [ 0.72262973066, 0.10241906353, -0.52502123133],
2800  [ 0.72262973066, 0.57201232868, 0.23479663258],
2801  [ 0.89321946966, 0.10241906353, -0.00000000000]
2802  ],
2803  [
2804  [1.00000000000, -153.28063430469, 89.99999999999],
2805  [1.00000000000, -148.11008551483, 58.33032745305],
2806  [0.89907212478, 173.45887114425, 89.99999999999],
2807  [1.00000000000, -148.11008551484, 121.66967254694],
2808  [0.89907212478, 171.93313809187, 54.27052003414],
2809  [0.87629289529, -121.11739323402, 80.46802815740],
2810  [0.89907212478, 171.93313809186, 125.72947996584],
2811  [0.95106324210, 141.63590425572, 75.70715252401],
2812  [1.00000000000, -121.54555176267, 31.84243318692],
2813  [0.87629289529, -110.45943215682, 115.69249417880],
2814  [1.00000000000, -121.54555176272, 148.15756681307],
2815  [0.89907212478, 159.64229159257, 19.11460700872],
2816  [0.87629289529, -90.00000000000, 57.59596906291],
2817  [0.95106324210, 127.98162962275, 130.26585133679],
2818  [0.89907212478, 159.64229159254, 160.88539299124],
2819  [0.98181991918, 117.38263757869, 98.49941439443],
2820  [0.98181991918, 107.75095108054, 67.23554569143],
2821  [1.00000000000, -58.45444823730, 31.84243318693],
2822  [0.87629289529, -69.54056784319, 115.69249417881],
2823  [0.95106324210, 89.99999999999, 36.97346571500],
2824  [0.87629289529, -58.88260676597, 80.46802815741],
2825  [1.00000000000, -58.45444823730, 148.15756681308],
2826  [0.89907212478, 20.35770840741, 19.11460700874],
2827  [0.98181991918, 89.99999999999, 118.57368669056],
2828  [0.89907212478, 20.35770840746, 160.88539299126],
2829  [1.00000000000, -31.88991448515, 58.33032745305],
2830  [0.98181991918, 72.24904891944, 67.23554569143],
2831  [1.00000000000, -31.88991448516, 121.66967254695],
2832  [0.95106324210, 52.01837037725, 130.26585133680],
2833  [0.89907212478, 8.06686190811, 54.27052003415],
2834  [1.00000000000, -26.71936569530, 90.00000000001],
2835  [0.98181991918, 62.61736242130, 98.49941439444],
2836  [0.89907212478, 8.06686190812, 125.72947996585],
2837  [0.95106324210, 38.36409574425, 75.70715252401],
2838  [0.89907212478, 6.54112885574, 90.00000000000]
2839  ],
2840  [
2841  [12,20,18,9,5],
2842  [3,0,5,9],
2843  [10,3,9],
2844  [21,10,9,18],
2845  [27,21,18],
2846  [30,27,18,20],
2847  [25,30,20],
2848  [17,25,20,12],
2849  [8,17,12],
2850  [1,8,12,5],
2851  [0,1,5],
2852  [23,31,26,16,15],
2853  [7,2,6,13,15],
2854  [16,7,15],
2855  [4,2,7],
2856  [19,11,4,7,16],
2857  [26,19,16],
2858  [22,11,19],
2859  [33,29,22,19,26],
2860  [31,33,26],
2861  [34,29,33],
2862  [28,32,34,33,31],
2863  [23,28,31],
2864  [24,32,28],
2865  [13,14,24,28,23],
2866  [15,13,23],
2867  [6,14,13],
2868  [17,22,29,25],
2869  [8,11,22,17],
2870  [1,4,11,8],
2871  [0,2,4,1],
2872  [3,6,2,0],
2873  [10,14,6,3],
2874  [21,24,14,10],
2875  [27,32,24,21],
2876  [30,34,32,27],
2877  [25,29,34,30]
2878  ],
2879  [
2880  [0,1],
2881  [0,2],
2882  [0,3],
2883  [0,5],
2884  [1,4],
2885  [1,5],
2886  [1,8],
2887  [2,4],
2888  [2,6],
2889  [2,7],
2890  [3,6],
2891  [3,9],
2892  [3,10],
2893  [4,7],
2894  [4,11],
2895  [5,9],
2896  [5,12],
2897  [6,13],
2898  [6,14],
2899  [7,15],
2900  [7,16],
2901  [8,11],
2902  [8,12],
2903  [8,17],
2904  [9,10],
2905  [9,18],
2906  [10,14],
2907  [10,21],
2908  [11,19],
2909  [11,22],
2910  [12,17],
2911  [12,20],
2912  [13,14],
2913  [13,15],
2914  [13,23],
2915  [14,24],
2916  [15,16],
2917  [15,23],
2918  [16,19],
2919  [16,26],
2920  [17,22],
2921  [17,25],
2922  [18,20],
2923  [18,21],
2924  [18,27],
2925  [19,22],
2926  [19,26],
2927  [20,25],
2928  [20,30],
2929  [21,24],
2930  [21,27],
2931  [22,29],
2932  [23,28],
2933  [23,31],
2934  [24,28],
2935  [24,32],
2936  [25,29],
2937  [25,30],
2938  [26,31],
2939  [26,33],
2940  [27,30],
2941  [27,32],
2942  [28,31],
2943  [28,32],
2944  [29,33],
2945  [29,34],
2946  [30,34],
2947  [31,33],
2948  [32,34],
2949  [33,34]
2950  ]
2951  ],
2952  [
2953  "elongated_pentagonal_orthobicupola",
2954  "Elongated Pentagonal Orthobicupola",
2955  "J38",
2956  "johnson",
2957  "Polyhedron Database #82",
2958  [
2959  [ 0.95542256322, 0.29524180884, -0.00000000000],
2960  [ 0.77295309045, 0.29524180884, 0.56158329237],
2961  [ 0.95542256322, -0.29524180884, -0.00000000000],
2962  [ 0.77295309045, 0.29524180884, -0.56158329237],
2963  [ 0.47771128161, 0.60567741786, 0.15521780451],
2964  [ 0.77295309045, -0.29524180884, 0.56158329237],
2965  [ 0.29524180884, 0.29524180884, 0.90866085457],
2966  [ 0.77295309045, -0.29524180884, -0.56158329237],
2967  [ 0.29524180884, 0.60567741786, -0.40636548786],
2968  [ 0.00000000000, 0.60567741786, 0.50229536671],
2969  [ 0.29524180884, -0.29524180884, 0.90866085457],
2970  [ 0.29524180884, 0.29524180884, -0.90866085457],
2971  [ 0.47771128161, -0.60567741786, 0.15521780451],
2972  [-0.29524180884, 0.29524180884, 0.90866085457],
2973  [ 0.29524180884, -0.29524180884, -0.90866085457],
2974  [ 0.29524180884, -0.60567741786, -0.40636548786],
2975  [-0.29524180884, 0.60567741786, -0.40636548786],
2976  [ 0.00000000000, -0.60567741786, 0.50229536671],
2977  [-0.47771128161, 0.60567741786, 0.15521780451],
2978  [-0.29524180884, -0.29524180884, 0.90866085457],
2979  [-0.29524180884, 0.29524180884, -0.90866085457],
2980  [-0.77295309045, 0.29524180884, 0.56158329237],
2981  [-0.29524180884, -0.29524180884, -0.90866085457],
2982  [-0.29524180884, -0.60567741786, -0.40636548786],
2983  [-0.47771128161, -0.60567741786, 0.15521780451],
2984  [-0.77295309045, 0.29524180884, -0.56158329237],
2985  [-0.77295309045, -0.29524180884, 0.56158329237],
2986  [-0.95542256322, 0.29524180884, 0.00000000000],
2987  [-0.77295309045, -0.29524180884, -0.56158329237],
2988  [-0.95542256322, -0.29524180884, 0.00000000000]
2989  ],
2990  [
2991  [1.00000000000, 17.17203785052, 89.99999999999],
2992  [1.00000000000, 20.90515744789, 55.83463617182],
2993  [1.00000000000, -17.17203785051, 90.00000000000],
2994  [1.00000000000, 20.90515744790, 124.16536382816],
2995  [0.78685816379, 51.73636802936, 78.62306249644],
2996  [1.00000000000, -20.90515744789, 55.83463617183],
2997  [1.00000000000, 44.99999999999, 24.67905738932],
2998  [1.00000000000, -20.90515744788, 124.16536382818],
2999  [0.78685816379, 64.01274853924, 121.09379417366],
3000  [0.78685816379, 89.99999999998, 50.33068539622],
3001  [1.00000000000, -45.00000000001, 24.67905738933],
3002  [1.00000000000, 45.00000000002, 155.32094261066],
3003  [0.78685816379, -51.73636802935, 78.62306249646],
3004  [1.00000000000, 135.00000000001, 24.67905738931],
3005  [1.00000000000, -44.99999999998, 155.32094261068],
3006  [0.78685816379, -64.01274853923, 121.09379417368],
3007  [0.78685816379, 115.98725146076, 121.09379417367],
3008  [0.78685816379, -89.99999999999, 50.33068539624],
3009  [0.78685816379, 128.26363197064, 78.62306249644],
3010  [1.00000000000, -134.99999999997, 24.67905738933],
3011  [1.00000000000, 134.99999999998, 155.32094261065],
3012  [1.00000000000, 159.09484255211, 55.83463617181],
3013  [1.00000000000, -135.00000000000, 155.32094261067],
3014  [0.78685816379, -115.98725146075, 121.09379417368],
3015  [0.78685816379, -128.26363197063, 78.62306249646],
3016  [1.00000000000, 159.09484255210, 124.16536382816],
3017  [1.00000000000, -159.09484255209, 55.83463617183],
3018  [1.00000000000, 162.82796214948, 89.99999999999],
3019  [1.00000000000, -159.09484255210, 124.16536382817],
3020  [1.00000000000, -162.82796214947, 89.99999999999]
3021  ],
3022  [
3023  [15,23,24,17,12],
3024  [10,5,12,17],
3025  [19,10,17],
3026  [26,19,17,24],
3027  [29,26,24],
3028  [28,29,24,23],
3029  [22,28,23],
3030  [14,22,23,15],
3031  [7,14,15],
3032  [2,7,15,12],
3033  [5,2,12],
3034  [18,16,8,4,9],
3035  [1,6,9,4],
3036  [0,1,4],
3037  [3,0,4,8],
3038  [11,3,8],
3039  [20,11,8,16],
3040  [25,20,16],
3041  [27,25,16,18],
3042  [21,27,18],
3043  [13,21,18,9],
3044  [6,13,9],
3045  [14,11,20,22],
3046  [7,3,11,14],
3047  [2,0,3,7],
3048  [5,1,0,2],
3049  [10,6,1,5],
3050  [19,13,6,10],
3051  [26,21,13,19],
3052  [29,27,21,26],
3053  [28,25,27,29],
3054  [22,20,25,28]
3055  ],
3056  [
3057  [0,1],
3058  [0,2],
3059  [0,3],
3060  [0,4],
3061  [1,4],
3062  [1,5],
3063  [1,6],
3064  [2,5],
3065  [2,7],
3066  [2,12],
3067  [3,7],
3068  [3,8],
3069  [3,11],
3070  [4,8],
3071  [4,9],
3072  [5,10],
3073  [5,12],
3074  [6,9],
3075  [6,10],
3076  [6,13],
3077  [7,14],
3078  [7,15],
3079  [8,11],
3080  [8,16],
3081  [9,13],
3082  [9,18],
3083  [10,17],
3084  [10,19],
3085  [11,14],
3086  [11,20],
3087  [12,15],
3088  [12,17],
3089  [13,19],
3090  [13,21],
3091  [14,15],
3092  [14,22],
3093  [15,23],
3094  [16,18],
3095  [16,20],
3096  [16,25],
3097  [17,19],
3098  [17,24],
3099  [18,21],
3100  [18,27],
3101  [19,26],
3102  [20,22],
3103  [20,25],
3104  [21,26],
3105  [21,27],
3106  [22,23],
3107  [22,28],
3108  [23,24],
3109  [23,28],
3110  [24,26],
3111  [24,29],
3112  [25,27],
3113  [25,28],
3114  [26,29],
3115  [27,29],
3116  [28,29]
3117  ]
3118  ],
3119  [
3120  "elongated_pentagonal_orthobirotunda",
3121  "Elongated Pentagonal Orthobirotunda",
3122  "J42",
3123  "johnson",
3124  "Polyhedron Database #86",
3125  [
3126  [ 0.39268894732, 0.91077745739, -0.12759237348],
3127  [ 0.63538406377, 0.65559271043, 0.20644879699],
3128  [ 0.24269511645, 0.91077745739, 0.33404117047],
3129  [ 0.39268894732, 0.65559271043, -0.54048996746],
3130  [ 0.00000000000, 0.91077745739, -0.41289759398],
3131  [ 0.78537789464, 0.24269511645, 0.00000000000],
3132  [-0.24269511645, 0.91077745739, 0.33404117047],
3133  [ 0.63538406377, 0.24269511645, -0.46163354395],
3134  [-0.39268894732, 0.91077745739, -0.12759237348],
3135  [ 0.63538406377, 0.24269511645, 0.46163354395],
3136  [ 0.00000000000, 0.65559271043, 0.66808234094],
3137  [ 0.24269511645, 0.24269511645, -0.74693876445],
3138  [-0.39268894732, 0.65559271043, -0.54048996746],
3139  [ 0.24269511645, 0.24269511645, 0.74693876445],
3140  [ 0.78537789464, -0.24269511645, -0.00000000000],
3141  [-0.63538406377, 0.65559271043, 0.20644879699],
3142  [ 0.63538406377, -0.24269511645, -0.46163354395],
3143  [ 0.63538406377, -0.24269511645, 0.46163354395],
3144  [-0.24269511645, 0.24269511645, -0.74693876445],
3145  [-0.24269511645, 0.24269511645, 0.74693876445],
3146  [ 0.24269511645, -0.24269511645, -0.74693876445],
3147  [ 0.24269511645, -0.24269511645, 0.74693876445],
3148  [-0.63538406377, 0.24269511645, -0.46163354395],
3149  [-0.63538406377, 0.24269511645, 0.46163354395],
3150  [ 0.63538406377, -0.65559271043, 0.20644879699],
3151  [-0.78537789464, 0.24269511645, 0.00000000000],
3152  [-0.24269511645, -0.24269511645, -0.74693876445],
3153  [ 0.39268894732, -0.65559271043, -0.54048996746],
3154  [-0.24269511645, -0.24269511645, 0.74693876445],
3155  [-0.63538406377, -0.24269511645, -0.46163354395],
3156  [ 0.39268894732, -0.91077745739, -0.12759237348],
3157  [-0.63538406377, -0.24269511645, 0.46163354395],
3158  [ 0.00000000000, -0.65559271043, 0.66808234094],
3159  [-0.78537789464, -0.24269511645, -0.00000000000],
3160  [ 0.24269511645, -0.91077745739, 0.33404117047],
3161  [-0.39268894732, -0.65559271043, -0.54048996746],
3162  [-0.00000000000, -0.91077745739, -0.41289759398],
3163  [-0.63538406377, -0.65559271043, 0.20644879699],
3164  [-0.24269511645, -0.91077745739, 0.33404117047],
3165  [-0.39268894732, -0.91077745739, -0.12759237348]
3166  ],
3167  [
3168  [1.00000000000, 66.67632580117, 97.33048684486],
3169  [0.93602126912, 45.89682140339, 77.25807678909],
3170  [1.00000000000, 75.07908888197, 70.48575743162],
3171  [0.93602126912, 59.07910435423, 125.27022517356],
3172  [1.00000000000, 89.99999999999, 114.38698756658],
3173  [0.82202150637, 17.17203785051, 89.99999999999],
3174  [1.00000000000, 104.92091111801, 70.48575743162],
3175  [0.82202150637, 20.90515744789, 124.16536382816],
3176  [1.00000000000, 113.32367419881, 97.33048684485],
3177  [0.82202150637, 20.90515744789, 55.83463617182],
3178  [0.93602126912, 89.99999999999, 44.45939762235],
3179  [0.82202150637, 45.00000000001, 155.32094261066],
3180  [0.93602126912, 120.92089564576, 125.27022517355],
3181  [0.82202150637, 44.99999999999, 24.67905738932],
3182  [0.82202150637, -17.17203785052, 90.00000000000],
3183  [0.93602126912, 134.10317859660, 77.25807678908],
3184  [0.82202150637, -20.90515744789, 124.16536382818],
3185  [0.82202150637, -20.90515744789, 55.83463617183],
3186  [0.82202150637, 134.99999999998, 155.32094261065],
3187  [0.82202150637, 134.99999999999, 24.67905738931],
3188  [0.82202150637, -45.00000000000, 155.32094261068],
3189  [0.82202150637, -45.00000000001, 24.67905738934],
3190  [0.82202150637, 159.09484255209, 124.16536382816],
3191  [0.82202150637, 159.09484255210, 55.83463617181],
3192  [0.93602126912, -45.89682140338, 77.25807678910],
3193  [0.82202150637, 162.82796214947, 89.99999999998],
3194  [0.82202150637, -135.00000000000, 155.32094261067],
3195  [0.93602126912, -59.07910435422, 125.27022517357],
3196  [0.82202150637, -134.99999999998, 24.67905738932],
3197  [0.82202150637, -159.09484255210, 124.16536382817],
3198  [1.00000000000, -66.67632580117, 97.33048684488],
3199  [0.82202150637, -159.09484255209, 55.83463617183],
3200  [0.93602126912, -89.99999999999, 44.45939762237],
3201  [0.82202150637, -162.82796214948, 89.99999999999],
3202  [1.00000000000, -75.07908888196, 70.48575743164],
3203  [0.93602126912, -120.92089564578, 125.27022517357],
3204  [1.00000000000, -90.00000000000, 114.38698756659],
3205  [0.93602126912, -134.10317859660, 77.25807678910],
3206  [1.00000000000, -104.92091111802, 70.48575743164],
3207  [1.00000000000, -113.32367419882, 97.33048684487]
3208  ],
3209  [
3210  [2,6,8,4,0],
3211  [3,7,5,1,0],
3212  [4,3,0],
3213  [11,7,3],
3214  [12,18,11,3,4],
3215  [8,12,4],
3216  [22,18,12],
3217  [15,25,22,12,8],
3218  [6,15,8],
3219  [23,25,15],
3220  [10,19,23,15,6],
3221  [2,10,6],
3222  [13,19,10],
3223  [1,9,13,10,2],
3224  [0,1,2],
3225  [5,9,1],
3226  [36,39,38,34,30],
3227  [24,14,16,27,30],
3228  [34,24,30],
3229  [17,14,24],
3230  [32,21,17,24,34],
3231  [38,32,34],
3232  [28,21,32],
3233  [37,31,28,32,38],
3234  [39,37,38],
3235  [33,31,37],
3236  [35,29,33,37,39],
3237  [36,35,39],
3238  [26,29,35],
3239  [27,20,26,35,36],
3240  [30,27,36],
3241  [16,20,27],
3242  [19,28,31,23],
3243  [13,21,28,19],
3244  [9,17,21,13],
3245  [5,14,17,9],
3246  [7,16,14,5],
3247  [11,20,16,7],
3248  [18,26,20,11],
3249  [22,29,26,18],
3250  [25,33,29,22],
3251  [23,31,33,25]
3252  ],
3253  [
3254  [0,1],
3255  [0,2],
3256  [0,3],
3257  [0,4],
3258  [1,2],
3259  [1,5],
3260  [1,9],
3261  [2,6],
3262  [2,10],
3263  [3,4],
3264  [3,7],
3265  [3,11],
3266  [4,8],
3267  [4,12],
3268  [5,7],
3269  [5,9],
3270  [5,14],
3271  [6,8],
3272  [6,10],
3273  [6,15],
3274  [7,11],
3275  [7,16],
3276  [8,12],
3277  [8,15],
3278  [9,13],
3279  [9,17],
3280  [10,13],
3281  [10,19],
3282  [11,18],
3283  [11,20],
3284  [12,18],
3285  [12,22],
3286  [13,19],
3287  [13,21],
3288  [14,16],
3289  [14,17],
3290  [14,24],
3291  [15,23],
3292  [15,25],
3293  [16,20],
3294  [16,27],
3295  [17,21],
3296  [17,24],
3297  [18,22],
3298  [18,26],
3299  [19,23],
3300  [19,28],
3301  [20,26],
3302  [20,27],
3303  [21,28],
3304  [21,32],
3305  [22,25],
3306  [22,29],
3307  [23,25],
3308  [23,31],
3309  [24,30],
3310  [24,34],
3311  [25,33],
3312  [26,29],
3313  [26,35],
3314  [27,30],
3315  [27,36],
3316  [28,31],
3317  [28,32],
3318  [29,33],
3319  [29,35],
3320  [30,34],
3321  [30,36],
3322  [31,33],
3323  [31,37],
3324  [32,34],
3325  [32,38],
3326  [33,37],
3327  [34,38],
3328  [35,36],
3329  [35,39],
3330  [36,39],
3331  [37,38],
3332  [37,39],
3333  [38,39]
3334  ]
3335  ],
3336  [
3337  "elongated_pentagonal_orthocupolarotunda",
3338  "Elongated Pentagonal Orthocupolarotunda",
3339  "J40",
3340  "johnson",
3341  "Polyhedron Database #84",
3342  [
3343  [ 0.89321946966, -0.44962092814, 0.00000000000],
3344  [ 0.72262973066, -0.44962092814, 0.52502123133],
3345  [ 0.72262973066, -0.44962092814, -0.52502123133],
3346  [ 0.89321946966, 0.10241906353, -0.00000000000],
3347  [ 0.44660973483, -0.73984552689, -0.14511229938],
3348  [ 0.72262973066, 0.10241906353, 0.52502123133],
3349  [ 0.27601999583, -0.73984552689, 0.37990893195],
3350  [ 0.72262973066, 0.10241906353, -0.52502123133],
3351  [ 0.27601999583, -0.44962092814, 0.84950219710],
3352  [ 0.27601999583, -0.44962092814, -0.84950219710],
3353  [ 0.72262973066, 0.57201232868, 0.23479663258],
3354  [-0.00000000000, -0.73984552689, -0.46959326515],
3355  [ 0.27601999583, 0.10241906353, 0.84950219710],
3356  [ 0.27601999583, 0.10241906353, -0.84950219710],
3357  [-0.27601999583, -0.73984552689, 0.37990893195],
3358  [ 0.44660973483, 0.57201232868, -0.61470556453],
3359  [-0.27601999583, -0.44962092814, 0.84950219710],
3360  [ 0.44660973483, 0.86223692743, -0.14511229938],
3361  [-0.44660973483, -0.73984552689, -0.14511229938],
3362  [-0.27601999583, -0.44962092814, -0.84950219710],
3363  [ 0.27601999583, 0.86223692743, 0.37990893195],
3364  [-0.00000000000, 0.57201232868, 0.75981786390],
3365  [-0.27601999583, 0.10241906353, 0.84950219710],
3366  [-0.27601999583, 0.10241906353, -0.84950219710],
3367  [-0.72262973066, -0.44962092814, 0.52502123133],
3368  [-0.00000000000, 0.86223692743, -0.46959326515],
3369  [-0.72262973066, -0.44962092814, -0.52502123133],
3370  [-0.89321946966, -0.44962092814, 0.00000000000],
3371  [-0.27601999583, 0.86223692743, 0.37990893195],
3372  [-0.72262973066, 0.10241906353, 0.52502123133],
3373  [-0.44660973483, 0.57201232868, -0.61470556453],
3374  [-0.72262973066, 0.10241906353, -0.52502123133],
3375  [-0.44660973483, 0.86223692743, -0.14511229938],
3376  [-0.89321946966, 0.10241906353, 0.00000000000],
3377  [-0.72262973066, 0.57201232868, 0.23479663258]
3378  ],
3379  [
3380  [1.00000000000, -26.71936569529, 89.99999999999],
3381  [1.00000000000, -31.88991448516, 58.33032745305],
3382  [1.00000000000, -31.88991448516, 121.66967254695],
3383  [0.89907212478, 6.54112885574, 89.99999999999],
3384  [0.87629289529, -58.88260676597, 99.53197184259],
3385  [0.89907212478, 8.06686190811, 54.27052003414],
3386  [0.87629289529, -69.54056784318, 64.30750582120],
3387  [0.89907212478, 8.06686190813, 125.72947996585],
3388  [1.00000000000, -58.45444823730, 31.84243318692],
3389  [1.00000000000, -58.45444823730, 148.15756681307],
3390  [0.95106324210, 38.36409574426, 75.70715252401],
3391  [0.87629289529, -89.99999999999, 122.40403093709],
3392  [0.89907212478, 20.35770840741, 19.11460700874],
3393  [0.89907212478, 20.35770840745, 160.88539299125],
3394  [0.87629289529, -110.45943215680, 64.30750582120],
3395  [0.95106324210, 52.01837037724, 130.26585133679],
3396  [1.00000000000, -121.54555176269, 31.84243318692],
3397  [0.98181991918, 62.61736242130, 98.49941439444],
3398  [0.87629289529, -121.11739323402, 99.53197184259],
3399  [1.00000000000, -121.54555176269, 148.15756681307],
3400  [0.98181991918, 72.24904891944, 67.23554569144],
3401  [0.95106324210, 90.00000000000, 36.97346571501],
3402  [0.89907212478, 159.64229159257, 19.11460700873],
3403  [0.89907212478, 159.64229159256, 160.88539299125],
3404  [1.00000000000, -148.11008551483, 58.33032745304],
3405  [0.98181991918, 90.00000000000, 118.57368669057],
3406  [1.00000000000, -148.11008551484, 121.66967254695],
3407  [1.00000000000, -153.28063430469, 89.99999999999],
3408  [0.98181991918, 107.75095108054, 67.23554569144],
3409  [0.89907212478, 171.93313809188, 54.27052003414],
3410  [0.95106324210, 127.98162962274, 130.26585133680],
3411  [0.89907212478, 171.93313809187, 125.72947996585],
3412  [0.98181991918, 117.38263757869, 98.49941439444],
3413  [0.89907212478, 173.45887114426, 89.99999999999],
3414  [0.95106324210, 141.63590425573, 75.70715252401]
3415  ],
3416  [
3417  [11,18,14,6,4],
3418  [1,0,4,6],
3419  [8,1,6],
3420  [16,8,6,14],
3421  [24,16,14],
3422  [27,24,14,18],
3423  [26,27,18],
3424  [19,26,18,11],
3425  [9,19,11],
3426  [2,9,11,4],
3427  [0,2,4],
3428  [28,32,25,17,20],
3429  [10,5,12,21,20],
3430  [17,10,20],
3431  [3,5,10],
3432  [15,7,3,10,17],
3433  [25,15,17],
3434  [13,7,15],
3435  [30,23,13,15,25],
3436  [32,30,25],
3437  [31,23,30],
3438  [34,33,31,30,32],
3439  [28,34,32],
3440  [29,33,34],
3441  [21,22,29,34,28],
3442  [20,21,28],
3443  [12,22,21],
3444  [19,23,31,26],
3445  [9,13,23,19],
3446  [2,7,13,9],
3447  [0,3,7,2],
3448  [1,5,3,0],
3449  [8,12,5,1],
3450  [16,22,12,8],
3451  [24,29,22,16],
3452  [27,33,29,24],
3453  [26,31,33,27]
3454  ],
3455  [
3456  [0,1],
3457  [0,2],
3458  [0,3],
3459  [0,4],
3460  [1,5],
3461  [1,6],
3462  [1,8],
3463  [2,4],
3464  [2,7],
3465  [2,9],
3466  [3,5],
3467  [3,7],
3468  [3,10],
3469  [4,6],
3470  [4,11],
3471  [5,10],
3472  [5,12],
3473  [6,8],
3474  [6,14],
3475  [7,13],
3476  [7,15],
3477  [8,12],
3478  [8,16],
3479  [9,11],
3480  [9,13],
3481  [9,19],
3482  [10,17],
3483  [10,20],
3484  [11,18],
3485  [11,19],
3486  [12,21],
3487  [12,22],
3488  [13,15],
3489  [13,23],
3490  [14,16],
3491  [14,18],
3492  [14,24],
3493  [15,17],
3494  [15,25],
3495  [16,22],
3496  [16,24],
3497  [17,20],
3498  [17,25],
3499  [18,26],
3500  [18,27],
3501  [19,23],
3502  [19,26],
3503  [20,21],
3504  [20,28],
3505  [21,22],
3506  [21,28],
3507  [22,29],
3508  [23,30],
3509  [23,31],
3510  [24,27],
3511  [24,29],
3512  [25,30],
3513  [25,32],
3514  [26,27],
3515  [26,31],
3516  [27,33],
3517  [28,32],
3518  [28,34],
3519  [29,33],
3520  [29,34],
3521  [30,31],
3522  [30,32],
3523  [31,33],
3524  [32,34],
3525  [33,34]
3526  ]
3527  ],
3528  [
3529  "elongated_pentagonal_pyramid",
3530  "Elongated Pentagonal Pyramid",
3531  "J9",
3532  "johnson",
3533  "Polyhedron Database #53",
3534  [
3535  [-0.00000000000, -0.57203305118, 0.82023057024],
3536  [-0.00000000000, 0.39220581415, 0.82023057024],
3537  [-0.78008562869, -0.57203305118, 0.25346518551],
3538  [ 0.78008562869, -0.57203305118, 0.25346518551],
3539  [-0.78008562869, 0.39220581415, 0.25346518551],
3540  [ 0.78008562869, 0.39220581415, 0.25346518551],
3541  [-0.00000000000, 0.89913618517, 0.00000000000],
3542  [-0.48211943267, -0.57203305118, -0.66358047063],
3543  [ 0.48211943267, -0.57203305118, -0.66358047063],
3544  [-0.48211943267, 0.39220581415, -0.66358047063],
3545  [ 0.48211943267, 0.39220581415, -0.66358047063]
3546  ],
3547  [
3548  [1.00000000000, -89.99999999999, 34.89211861905],
3549  [0.90917742438, 89.99999999999, 25.55550959478],
3550  [1.00000000000, -143.74758289659, 75.31734079704],
3551  [1.00000000000, -36.25241710340, 75.31734079703],
3552  [0.90917742438, 153.30799531701, 73.81228658369],
3553  [0.90917742438, 26.69200468298, 73.81228658369],
3554  [0.89913618517, 89.99999999999, 89.99999999999],
3555  [1.00000000000, -130.12477362434, 131.57351491595],
3556  [1.00000000000, -49.87522637565, 131.57351491594],
3557  [0.90917742438, 140.87152731453, 136.87541787966],
3558  [0.90917742438, 39.12847268545, 136.87541787966]
3559  ],
3560  [
3561  [7,2,0,3,8],
3562  [5,3,0,1],
3563  [5,1,6],
3564  [10,8,3,5],
3565  [10,5,6],
3566  [9,7,8,10],
3567  [9,10,6],
3568  [4,2,7,9],
3569  [4,9,6],
3570  [1,0,2,4],
3571  [1,4,6]
3572  ],
3573  [
3574  [0,1],
3575  [0,2],
3576  [0,3],
3577  [1,4],
3578  [1,5],
3579  [1,6],
3580  [2,4],
3581  [2,7],
3582  [3,5],
3583  [3,8],
3584  [4,6],
3585  [4,9],
3586  [5,6],
3587  [5,10],
3588  [6,9],
3589  [6,10],
3590  [7,8],
3591  [7,9],
3592  [8,10],
3593  [9,10]
3594  ]
3595  ],
3596  [
3597  "elongated_pentagonal_rotunds",
3598  "Elongated Pentagonal Rotunds",
3599  "J21",
3600  "johnson",
3601  "Polyhedron Database #65",
3602  [
3603  [ 0.68097260340, 0.42283845042, 0.22126141144],
3604  [ 0.42086421431, 0.69633259576, -0.13674707267],
3605  [ 0.84172842862, -0.01968437246, 0.00000000000],
3606  [ 0.26010838909, 0.69633259576, 0.35800848411],
3607  [ 0.68097260340, -0.01968437246, 0.49475555678],
3608  [ 0.42086421431, 0.42283845042, -0.57926989555],
3609  [ 0.68097260340, -0.01968437246, -0.49475555678],
3610  [ 0.84172842862, -0.53990115064, 0.00000000000],
3611  [-0.00000000000, 0.69633259576, -0.44252282288],
3612  [ 0.68097260340, -0.53990115064, 0.49475555678],
3613  [-0.00000000000, 0.42283845042, 0.71601696822],
3614  [ 0.26010838909, -0.01968437246, 0.80053130699],
3615  [ 0.68097260340, -0.53990115064, -0.49475555678],
3616  [-0.26010838909, 0.69633259576, 0.35800848411],
3617  [ 0.26010838909, -0.01968437246, -0.80053130699],
3618  [-0.42086421431, 0.69633259576, -0.13674707267],
3619  [ 0.26010838909, -0.53990115064, 0.80053130699],
3620  [ 0.26010838909, -0.53990115064, -0.80053130699],
3621  [-0.26010838909, -0.01968437246, 0.80053130699],
3622  [-0.42086421431, 0.42283845042, -0.57926989555],
3623  [-0.26010838909, -0.01968437246, -0.80053130699],
3624  [-0.68097260340, 0.42283845042, 0.22126141144],
3625  [-0.26010838909, -0.53990115064, 0.80053130699],
3626  [-0.68097260340, -0.01968437246, 0.49475555678],
3627  [-0.26010838909, -0.53990115064, -0.80053130699],
3628  [-0.68097260340, -0.01968437246, -0.49475555678],
3629  [-0.84172842862, -0.01968437246, -0.00000000000],
3630  [-0.68097260340, -0.53990115064, 0.49475555678],
3631  [-0.68097260340, -0.53990115064, -0.49475555678],
3632  [-0.84172842862, -0.53990115064, -0.00000000000]
3633  ],
3634  [
3635  [0.83154834732, 31.83751590051, 74.56864717223],
3636  [0.82504880625, 58.85118673122, 99.54047056804],
3637  [0.84195856315, -1.33965527789, 89.99999999999],
3638  [0.82504880625, 69.51730608160, 64.28315347175],
3639  [0.84195856315, -1.65574574906, 54.01137741034],
3640  [0.83154834732, 45.13406996974, 134.15613296486],
3641  [0.84195856315, -1.65574574906, 125.98862258965],
3642  [1.00000000000, -32.67690999588, 89.99999999999],
3643  [0.82504880625, 89.99999999999, 122.43616115368],
3644  [1.00000000000, -38.40872777727, 60.34636723232],
3645  [0.83154834732, 89.99999999999, 30.56365623923],
3646  [0.84195856315, -4.32775647929, 18.04813673204],
3647  [1.00000000000, -38.40872777727, 119.65363276766],
3648  [0.82504880625, 110.48269391840, 64.28315347176],
3649  [0.84195856315, -4.32775647929, 161.95186326793],
3650  [0.82504880625, 121.14881326877, 99.54047056805],
3651  [1.00000000000, -64.27660964891, 36.81913157227],
3652  [1.00000000000, -64.27660964889, 143.18086842771],
3653  [0.84195856315, -175.67224352070, 18.04813673206],
3654  [0.83154834732, 134.86593003026, 134.15613296486],
3655  [0.84195856315, -175.67224352067, 161.95186326795],
3656  [0.83154834732, 148.16248409948, 74.56864717223],
3657  [1.00000000000, -115.72339035110, 36.81913157227],
3658  [0.84195856315, -178.34425425092, 54.01137741034],
3659  [1.00000000000, -115.72339035107, 143.18086842772],
3660  [0.84195856315, -178.34425425092, 125.98862258965],
3661  [0.84195856315, -178.66034472209, 89.99999999999],
3662  [1.00000000000, -141.59127222271, 60.34636723233],
3663  [1.00000000000, -141.59127222271, 119.65363276766],
3664  [1.00000000000, -147.32309000410, 90.00000000001]
3665  ],
3666  [
3667  [28,29,27,22,16,9,7,12,17,24],
3668  [1,3,13,15,8],
3669  [19,20,14,5,8],
3670  [15,19,8],
3671  [25,20,19],
3672  [21,26,25,19,15],
3673  [13,21,15],
3674  [23,26,21],
3675  [10,18,23,21,13],
3676  [3,10,13],
3677  [11,18,10],
3678  [0,4,11,10,3],
3679  [1,0,3],
3680  [2,4,0],
3681  [5,6,2,0,1],
3682  [8,5,1],
3683  [14,6,5],
3684  [4,9,16,11],
3685  [2,7,9,4],
3686  [6,12,7,2],
3687  [14,17,12,6],
3688  [20,24,17,14],
3689  [25,28,24,20],
3690  [26,29,28,25],
3691  [23,27,29,26],
3692  [18,22,27,23],
3693  [11,16,22,18]
3694  ],
3695  [
3696  [0,1],
3697  [0,2],
3698  [0,3],
3699  [0,4],
3700  [1,3],
3701  [1,5],
3702  [1,8],
3703  [2,4],
3704  [2,6],
3705  [2,7],
3706  [3,10],
3707  [3,13],
3708  [4,9],
3709  [4,11],
3710  [5,6],
3711  [5,8],
3712  [5,14],
3713  [6,12],
3714  [6,14],
3715  [7,9],
3716  [7,12],
3717  [8,15],
3718  [8,19],
3719  [9,16],
3720  [10,11],
3721  [10,13],
3722  [10,18],
3723  [11,16],
3724  [11,18],
3725  [12,17],
3726  [13,15],
3727  [13,21],
3728  [14,17],
3729  [14,20],
3730  [15,19],
3731  [15,21],
3732  [16,22],
3733  [17,24],
3734  [18,22],
3735  [18,23],
3736  [19,20],
3737  [19,25],
3738  [20,24],
3739  [20,25],
3740  [21,23],
3741  [21,26],
3742  [22,27],
3743  [23,26],
3744  [23,27],
3745  [24,28],
3746  [25,26],
3747  [25,28],
3748  [26,29],
3749  [27,29],
3750  [28,29]
3751  ]
3752  ],
3753  [
3754  "elongated_square_cupola",
3755  "Elongated Square Cupola",
3756  "J19",
3757  "johnson",
3758  "Polyhedron Database #63",
3759  [
3760  [-0.33282985348, 0.17212538424, 0.80352234624],
3761  [-0.33282985348, 0.64281787700, 0.33282985348],
3762  [-0.80352234624, 0.17212538424, 0.33282985348],
3763  [ 0.33282985348, 0.17212538424, 0.80352234624],
3764  [-0.33282985348, -0.49353432273, 0.80352234624],
3765  [ 0.33282985348, 0.64281787700, 0.33282985348],
3766  [-0.80352234624, -0.49353432273, 0.33282985348],
3767  [-0.33282985348, 0.64281787700, -0.33282985348],
3768  [-0.80352234624, 0.17212538424, -0.33282985348],
3769  [ 0.33282985348, -0.49353432273, 0.80352234624],
3770  [ 0.33282985348, 0.64281787700, -0.33282985348],
3771  [-0.80352234624, -0.49353432273, -0.33282985348],
3772  [ 0.80352234624, 0.17212538424, 0.33282985348],
3773  [-0.33282985348, 0.17212538424, -0.80352234624],
3774  [ 0.80352234624, -0.49353432273, 0.33282985348],
3775  [ 0.80352234624, 0.17212538424, -0.33282985348],
3776  [ 0.33282985348, 0.17212538424, -0.80352234624],
3777  [-0.33282985348, -0.49353432273, -0.80352234624],
3778  [ 0.80352234624, -0.49353432273, -0.33282985348],
3779  [ 0.33282985348, -0.49353432273, -0.80352234624]
3780  ],
3781  [
3782  [0.88659518394, 152.65392550023, 25.00088274745],
3783  [0.79672218855, 117.37362787137, 65.30744968158],
3784  [0.88659518394, 167.90919548879, 67.95082162559],
3785  [0.88659518394, 27.34607449974, 25.00088274746],
3786  [1.00000000000, -123.99495287766, 36.53220956805],
3787  [0.79672218855, 62.62637212861, 65.30744968159],
3788  [1.00000000000, -148.44118967741, 70.55937362985],
3789  [0.79672218855, 117.37362787138, 114.69255031840],
3790  [0.88659518394, 167.90919548879, 112.04917837437],
3791  [1.00000000000, -56.00504712230, 36.53220956806],
3792  [0.79672218855, 62.62637212862, 114.69255031841],
3793  [1.00000000000, -148.44118967742, 109.44062637012],
3794  [0.88659518394, 12.09080451120, 67.95082162561],
3795  [0.88659518394, 152.65392550025, 154.99911725252],
3796  [1.00000000000, -31.55881032258, 70.55937362987],
3797  [0.88659518394, 12.09080451120, 112.04917837440],
3798  [0.88659518394, 27.34607449977, 154.99911725255],
3799  [1.00000000000, -123.99495287769, 143.46779043193],
3800  [1.00000000000, -31.55881032258, 109.44062637014],
3801  [1.00000000000, -56.00504712233, 143.46779043193]
3802  ],
3803  [
3804  [19,17,11,6,4,9,14,18],
3805  [0,4,6,2],
3806  [3,9,4,0],
3807  [12,14,9,3],
3808  [15,18,14,12],
3809  [16,19,18,15],
3810  [13,17,19,16],
3811  [8,11,17,13],
3812  [2,6,11,8],
3813  [1,7,10,5],
3814  [15,12,5,10],
3815  [16,15,10],
3816  [13,16,10,7],
3817  [8,13,7],
3818  [2,8,7,1],
3819  [0,2,1],
3820  [3,0,1,5],
3821  [12,3,5]
3822  ],
3823  [
3824  [0,1],
3825  [0,2],
3826  [0,3],
3827  [0,4],
3828  [1,2],
3829  [1,5],
3830  [1,7],
3831  [2,6],
3832  [2,8],
3833  [3,5],
3834  [3,9],
3835  [3,12],
3836  [4,6],
3837  [4,9],
3838  [5,10],
3839  [5,12],
3840  [6,11],
3841  [7,8],
3842  [7,10],
3843  [7,13],
3844  [8,11],
3845  [8,13],
3846  [9,14],
3847  [10,15],
3848  [10,16],
3849  [11,17],
3850  [12,14],
3851  [12,15],
3852  [13,16],
3853  [13,17],
3854  [14,18],
3855  [15,16],
3856  [15,18],
3857  [16,19],
3858  [17,19],
3859  [18,19]
3860  ]
3861  ],
3862  [
3863  "elongated_square_dipyramid",
3864  "Elongated Square Dipyramid",
3865  "J15",
3866  "johnson",
3867  "Polyhedron Database #59",
3868  [
3869  [-0.41421356237, 0.41421356237, -0.41421356237],
3870  [-0.41421356237, 0.41421356237, 0.41421356237],
3871  [ 0.00000000000, 1.00000000000, 0.00000000000],
3872  [-0.41421356237, -0.41421356237, -0.41421356237],
3873  [-0.41421356237, -0.41421356237, 0.41421356237],
3874  [ 0.41421356237, 0.41421356237, -0.41421356237],
3875  [ 0.41421356237, 0.41421356237, 0.41421356237],
3876  [-0.00000000000, -1.00000000000, 0.00000000000],
3877  [ 0.41421356237, -0.41421356237, -0.41421356237],
3878  [ 0.41421356237, -0.41421356237, 0.41421356237]
3879  ],
3880  [
3881  [0.71743893521, 134.99999999999, 125.26438968275],
3882  [0.71743893521, 134.99999999999, 54.73561031724],
3883  [1.00000000000, 89.99999999999, 89.99999999999],
3884  [0.71743893521, -134.99999999999, 125.26438968275],
3885  [0.71743893521, -134.99999999999, 54.73561031724],
3886  [0.71743893521, 45.00000000000, 125.26438968275],
3887  [0.71743893521, 45.00000000000, 54.73561031724],
3888  [1.00000000000, -89.99999999999, 89.99999999999],
3889  [0.71743893521, -45.00000000000, 125.26438968275],
3890  [0.71743893521, -45.00000000000, 54.73561031724]
3891  ],
3892  [
3893  [6,5,8,9],
3894  [7,9,8],
3895  [2,5,6],
3896  [5,0,3,8],
3897  [7,8,3],
3898  [2,0,5],
3899  [0,1,4,3],
3900  [7,3,4],
3901  [2,1,0],
3902  [1,6,9,4],
3903  [7,4,9],
3904  [2,6,1]
3905  ],
3906  [
3907  [0,1],
3908  [0,2],
3909  [0,3],
3910  [0,5],
3911  [1,2],
3912  [1,4],
3913  [1,6],
3914  [2,5],
3915  [2,6],
3916  [3,4],
3917  [3,7],
3918  [3,8],
3919  [4,7],
3920  [4,9],
3921  [5,6],
3922  [5,8],
3923  [6,9],
3924  [7,8],
3925  [7,9],
3926  [8,9]
3927  ]
3928  ],
3929  [
3930  "elongated_square_gyrobicupola",
3931  "Elongated Square Gyrobicupola",
3932  "J37",
3933  "johnson",
3934  "George W. Hart, Jan 1996. george@li.net",
3935  [
3936  [-0.86285600000, 0.35740700000, 0.35740700000],
3937  [-0.86285600000, 0.35740700000, -0.35740700000],
3938  [-0.35740700000, 0.35740700000, 0.86285600000],
3939  [-0.35740700000, 0.86285600000, 0.35740700000],
3940  [-0.35740700000, 0.86285600000, -0.35740700000],
3941  [-0.35740700000, 0.35740700000, -0.86285600000],
3942  [ 0.35740700000, 0.35740700000, 0.86285600000],
3943  [ 0.35740700000, 0.86285600000, 0.35740700000],
3944  [ 0.35740700000, 0.86285600000, -0.35740700000],
3945  [ 0.35740700000, 0.35740700000, -0.86285600000],
3946  [ 0.86285600000, 0.35740700000, 0.35740700000],
3947  [ 0.86285600000, 0.35740700000, -0.35740700000],
3948  [ 0.86285600000, -0.35740700000, 0.35740700000],
3949  [ 0.86285600000, -0.35740700000, -0.35740700000],
3950  [ 0.35740700000, -0.35740700000, 0.86285600000],
3951  [ 0.50544900000, -0.86285600000, 0.00000000000],
3952  [ 0.35740700000, -0.35740700000, -0.86285600000],
3953  [ 0.00000000000, -0.86285600000, 0.50544900000],
3954  [ 0.00000000000, -0.86285600000, -0.50544900000],
3955  [-0.35740700000, -0.35740700000, 0.86285600000],
3956  [-0.50544900000, -0.86285600000, 0.00000000000],
3957  [-0.35740700000, -0.35740700000, -0.86285600000],
3958  [-0.86285600000, -0.35740700000, 0.35740700000],
3959  [-0.86285600000, -0.35740700000, -0.35740700000]
3960  ],
3961  [
3962  [1.00000000202, 157.49998059201, 69.05896388757],
3963  [1.00000000202, 157.49998059201, 110.94103611242],
3964  [1.00000000202, 134.99999999999, 30.36121734578],
3965  [1.00000000202, 112.50001940798, 69.05896388757],
3966  [1.00000000202, 112.50001940798, 110.94103611242],
3967  [1.00000000202, 134.99999999999, 149.63878265421],
3968  [1.00000000202, 45.00000000000, 30.36121734578],
3969  [1.00000000202, 67.49998059201, 69.05896388757],
3970  [1.00000000202, 67.49998059201, 110.94103611242],
3971  [1.00000000202, 45.00000000000, 149.63878265421],
3972  [1.00000000202, 22.50001940798, 69.05896388757],
3973  [1.00000000202, 22.50001940798, 110.94103611242],
3974  [1.00000000202, -22.50001940798, 69.05896388757],
3975  [1.00000000202, -22.50001940798, 110.94103611242],
3976  [1.00000000202, -45.00000000000, 30.36121734578],
3977  [0.99999958417, -59.63882352400, 89.99999999999],
3978  [1.00000000202, -45.00000000000, 149.63878265421],
3979  [0.99999958417, -89.99999999999, 59.63882352400],
3980  [0.99999958417, -89.99999999999, 120.36117647599],
3981  [1.00000000202, -134.99999999999, 30.36121734578],
3982  [0.99999958417, -120.36117647599, 89.99999999999],
3983  [1.00000000202, -134.99999999999, 149.63878265421],
3984  [1.00000000202, -157.49998059201, 69.05896388757],
3985  [1.00000000202, -157.49998059201, 110.94103611242]
3986  ],
3987  [
3988  [0,3,2],
3989  [1,5,4],
3990  [6,7,10],
3991  [8,9,11],
3992  [12,13,15],
3993  [14,17,19],
3994  [16,21,18],
3995  [20,23,22],
3996  [0,1,4,3],
3997  [2,3,7,6],
3998  [3,4,8,7],
3999  [4,5,9,8],
4000  [7,8,11,10],
4001  [12,15,17,14],
4002  [13,16,18,15],
4003  [15,18,20,17],
4004  [17,20,22,19],
4005  [18,21,23,20],
4006  [0,2,19,22],
4007  [2,6,14,19],
4008  [6,10,12,14],
4009  [10,11,13,12],
4010  [9,16,13,11],
4011  [5,21,16,9],
4012  [1,23,21,5],
4013  [0,22,23,1]
4014  ],
4015  [
4016  [0,1],
4017  [0,2],
4018  [0,3],
4019  [0,22],
4020  [1,4],
4021  [1,5],
4022  [1,23],
4023  [2,3],
4024  [2,6],
4025  [2,19],
4026  [3,4],
4027  [3,7],
4028  [4,5],
4029  [4,8],
4030  [5,9],
4031  [5,21],
4032  [6,7],
4033  [6,10],
4034  [6,14],
4035  [7,8],
4036  [7,10],
4037  [8,9],
4038  [8,11],
4039  [9,11],
4040  [9,16],
4041  [10,11],
4042  [10,12],
4043  [11,13],
4044  [12,13],
4045  [12,14],
4046  [12,15],
4047  [13,15],
4048  [13,16],
4049  [14,17],
4050  [14,19],
4051  [15,17],
4052  [15,18],
4053  [16,18],
4054  [16,21],
4055  [17,19],
4056  [17,20],
4057  [18,20],
4058  [18,21],
4059  [19,22],
4060  [20,22],
4061  [20,23],
4062  [21,23],
4063  [22,23]
4064  ]
4065  ],
4066  [
4067  "elongated_square_pyramid",
4068  "Elongated Square Pyramid",
4069  "J8",
4070  "johnson",
4071  "Polyhedron Database #52",
4072  [
4073  [ 0.46599025767, -0.59099025767, -0.46599025767],
4074  [ 0.46599025767, -0.59099025767, 0.46599025767],
4075  [-0.46599025767, -0.59099025767, -0.46599025767],
4076  [-0.46599025767, -0.59099025767, 0.46599025767],
4077  [ 0.46599025767, 0.34099025767, -0.46599025767],
4078  [ 0.46599025767, 0.34099025767, 0.46599025767],
4079  [-0.46599025767, 0.34099025767, -0.46599025767],
4080  [-0.46599025767, 0.34099025767, 0.46599025767],
4081  [-0.00000000000, 1.00000000000, 0.00000000000]
4082  ],
4083  [
4084  [0.88519112351, -51.74455319034, 121.76449119291],
4085  [0.88519112351, -51.74455319034, 58.23550880708],
4086  [0.88519112351, -128.25544680965, 121.76449119291],
4087  [0.88519112351, -128.25544680965, 58.23550880708],
4088  [0.74200282770, 36.19495113046, 128.90395833721],
4089  [0.74200282770, 36.19495113046, 51.09604166278],
4090  [0.74200282770, 143.80504886953, 128.90395833721],
4091  [0.74200282770, 143.80504886953, 51.09604166278],
4092  [1.00000000000, 89.99999999999, 89.99999999999]
4093  ],
4094  [
4095  [0,2,3,1],
4096  [5,1,3,7],
4097  [5,7,8],
4098  [4,0,1,5],
4099  [4,5,8],
4100  [6,2,0,4],
4101  [6,4,8],
4102  [7,3,2,6],
4103  [7,6,8]
4104  ],
4105  [
4106  [0,1],
4107  [0,2],
4108  [0,4],
4109  [1,3],
4110  [1,5],
4111  [2,3],
4112  [2,6],
4113  [3,7],
4114  [4,5],
4115  [4,6],
4116  [4,8],
4117  [5,7],
4118  [5,8],
4119  [6,7],
4120  [6,8],
4121  [7,8]
4122  ]
4123  ],
4124  [
4125  "elongated_triangular_cupola",
4126  "Elongated Triangular Cupola",
4127  "J18",
4128  "johnson",
4129  "Polyhedron Database #62",
4130  [
4131  [-0.39744851381, 0.18815267000, 0.68840101930],
4132  [ 0.39744851381, 0.18815267000, 0.68840101930],
4133  [-0.39744851381, 0.83718337523, 0.22946700643],
4134  [-0.39744851381, -0.60674435761, 0.68840101930],
4135  [ 0.39744851381, 0.83718337523, 0.22946700643],
4136  [ 0.39744851381, -0.60674435761, 0.68840101930],
4137  [-0.79489702761, 0.18815267000, -0.00000000000],
4138  [-0.79489702761, -0.60674435761, 0.00000000000],
4139  [ 0.79489702761, 0.18815267000, -0.00000000000],
4140  [ 0.00000000000, 0.83718337523, -0.45893401287],
4141  [ 0.79489702761, -0.60674435761, 0.00000000000],
4142  [-0.39744851381, 0.18815267000, -0.68840101930],
4143  [ 0.39744851381, 0.18815267000, -0.68840101930],
4144  [-0.39744851381, -0.60674435761, -0.68840101930],
4145  [ 0.39744851381, -0.60674435761, -0.68840101930]
4146  ],
4147  [
4148  [0.81686150095, 154.66706138696, 32.56951168616],
4149  [0.81686150095, 25.33293861303, 32.56951168616],
4150  [0.95472322268, 115.39579012297, 76.09284596359],
4151  [1.00000000000, -123.22684459476, 46.49633140652],
4152  [0.95472322268, 64.60420987700, 76.09284596359],
4153  [1.00000000000, -56.77315540524, 46.49633140652],
4154  [0.81686150095, 166.68314145253, 89.99999999999],
4155  [1.00000000000, -142.64553072758, 89.99999999999],
4156  [0.81686150095, 13.31685854744, 89.99999999999],
4157  [0.95472322268, 89.99999999999, 118.73103152952],
4158  [1.00000000000, -37.35446927244, 89.99999999999],
4159  [0.81686150095, 154.66706138695, 147.43048831383],
4160  [0.81686150095, 25.33293861300, 147.43048831382],
4161  [1.00000000000, -123.22684459476, 133.50366859346],
4162  [1.00000000000, -56.77315540525, 133.50366859346]
4163  ],
4164  [
4165  [13,7,3,5,10,14],
4166  [1,5,3,0],
4167  [8,10,5,1],
4168  [12,14,10,8],
4169  [11,13,14,12],
4170  [6,7,13,11],
4171  [0,3,7,6],
4172  [2,9,4],
4173  [12,8,4,9],
4174  [11,12,9],
4175  [6,11,9,2],
4176  [0,6,2],
4177  [1,0,2,4],
4178  [8,1,4]
4179  ],
4180  [
4181  [0,1],
4182  [0,2],
4183  [0,3],
4184  [0,6],
4185  [1,4],
4186  [1,5],
4187  [1,8],
4188  [2,4],
4189  [2,6],
4190  [2,9],
4191  [3,5],
4192  [3,7],
4193  [4,8],
4194  [4,9],
4195  [5,10],
4196  [6,7],
4197  [6,11],
4198  [7,13],
4199  [8,10],
4200  [8,12],
4201  [9,11],
4202  [9,12],
4203  [10,14],
4204  [11,12],
4205  [11,13],
4206  [12,14],
4207  [13,14]
4208  ]
4209  ],
4210  [
4211  "elongated_triangular_dipyramid",
4212  "Elongated Triangular Dipyramid",
4213  "J14",
4214  "johnson",
4215  "Polyhedron Database #58",
4216  [
4217  [-0.37979589711, 0.37979589711, 0.21927526344],
4218  [ 0.00000000000, 1.00000000000, 0.00000000000],
4219  [-0.37979589711, -0.37979589711, 0.21927526344],
4220  [-0.00000000000, 0.37979589711, -0.43855052687],
4221  [ 0.00000000000, -0.37979589711, -0.43855052687],
4222  [ 0.37979589711, 0.37979589711, 0.21927526344],
4223  [-0.00000000000, -1.00000000000, 0.00000000000],
4224  [ 0.37979589711, -0.37979589711, 0.21927526344]
4225  ],
4226  [
4227  [0.58014781572, 134.99999999999, 67.79234570140],
4228  [1.00000000000, 89.99999999999, 89.99999999999],
4229  [0.58014781572, -134.99999999999, 67.79234570140],
4230  [0.58014781572, 89.99999999999, 139.10660535086],
4231  [0.58014781572, -89.99999999999, 139.10660535086],
4232  [0.58014781572, 45.00000000000, 67.79234570140],
4233  [1.00000000000, -89.99999999999, 89.99999999999],
4234  [0.58014781572, -45.00000000000, 67.79234570140]
4235  ],
4236  [
4237  [5,3,4,7],
4238  [6,7,4],
4239  [1,3,5],
4240  [3,0,2,4],
4241  [6,4,2],
4242  [1,0,3],
4243  [0,5,7,2],
4244  [6,2,7],
4245  [1,5,0]
4246  ],
4247  [
4248  [0,1],
4249  [0,2],
4250  [0,3],
4251  [0,5],
4252  [1,3],
4253  [1,5],
4254  [2,4],
4255  [2,6],
4256  [2,7],
4257  [3,4],
4258  [3,5],
4259  [4,6],
4260  [4,7],
4261  [5,7],
4262  [6,7]
4263  ]
4264  ],
4265  [
4266  "elongated_triangular_gyrobicupola",
4267  "Elongated Triangular gyrobicupola",
4268  "J36",
4269  "johnson",
4270  "Polyhedron Database #80",
4271  [
4272  [-0.69563696953, 0.34781848477, -0.00000000000],
4273  [-0.69563696953, -0.34781848477, -0.00000000000],
4274  [-0.34781848477, 0.34781848477, 0.60243928743],
4275  [-0.34781848477, 0.91580369196, 0.20081309581],
4276  [-0.34781848477, -0.34781848477, 0.60243928743],
4277  [-0.34781848477, 0.34781848477, -0.60243928743],
4278  [-0.34781848477, -0.91580369196, -0.20081309581],
4279  [-0.34781848477, -0.34781848477, -0.60243928743],
4280  [ 0.00000000000, -0.91580369196, 0.40162619162],
4281  [-0.00000000000, 0.91580369196, -0.40162619162],
4282  [ 0.34781848477, 0.34781848477, 0.60243928743],
4283  [ 0.34781848477, 0.91580369196, 0.20081309581],
4284  [ 0.34781848477, -0.34781848477, 0.60243928743],
4285  [ 0.34781848477, 0.34781848477, -0.60243928743],
4286  [ 0.34781848477, -0.91580369196, -0.20081309581],
4287  [ 0.34781848477, -0.34781848477, -0.60243928743],
4288  [ 0.69563696953, 0.34781848477, 0.00000000000],
4289  [ 0.69563696953, -0.34781848477, 0.00000000000]
4290  ],
4291  [
4292  [0.77774577577, 153.43494882292, 90.00000000000],
4293  [0.77774577577, -153.43494882291, 89.99999999999],
4294  [0.77774577577, 135.00000000002, 39.23152048360],
4295  [1.00000000000, 110.79657166067, 78.41548931875],
4296  [0.77774577577, -135.00000000000, 39.23152048359],
4297  [0.77774577577, 134.99999999998, 140.76847951640],
4298  [1.00000000000, -110.79657166066, 101.58451068125],
4299  [0.77774577577, -134.99999999997, 140.76847951640],
4300  [1.00000000000, -89.99999999999, 66.32012099849],
4301  [1.00000000000, 89.99999999999, 113.67987900150],
4302  [0.77774577577, 45.00000000001, 39.23152048359],
4303  [1.00000000000, 69.20342833933, 78.41548931874],
4304  [0.77774577577, -45.00000000001, 39.23152048359],
4305  [0.77774577577, 44.99999999999, 140.76847951639],
4306  [1.00000000000, -69.20342833932, 101.58451068124],
4307  [0.77774577577, -44.99999999997, 140.76847951639],
4308  [0.77774577577, 26.56505117708, 89.99999999999],
4309  [0.77774577577, -26.56505117707, 89.99999999999]
4310  ],
4311  [
4312  [9,11,3],
4313  [10,2,3,11],
4314  [16,10,11],
4315  [13,16,11,9],
4316  [5,13,9],
4317  [0,5,9,3],
4318  [2,0,3],
4319  [6,8,14],
4320  [12,17,14,8],
4321  [4,12,8],
4322  [1,4,8,6],
4323  [7,1,6],
4324  [15,7,6,14],
4325  [17,15,14],
4326  [0,1,7,5],
4327  [2,4,1,0],
4328  [10,12,4,2],
4329  [16,17,12,10],
4330  [13,15,17,16],
4331  [5,7,15,13]
4332  ],
4333  [
4334  [0,1],
4335  [0,2],
4336  [0,3],
4337  [0,5],
4338  [1,4],
4339  [1,6],
4340  [1,7],
4341  [2,3],
4342  [2,4],
4343  [2,10],
4344  [3,9],
4345  [3,11],
4346  [4,8],
4347  [4,12],
4348  [5,7],
4349  [5,9],
4350  [5,13],
4351  [6,7],
4352  [6,8],
4353  [6,14],
4354  [7,15],
4355  [8,12],
4356  [8,14],
4357  [9,11],
4358  [9,13],
4359  [10,11],
4360  [10,12],
4361  [10,16],
4362  [11,16],
4363  [12,17],
4364  [13,15],
4365  [13,16],
4366  [14,15],
4367  [14,17],
4368  [15,17],
4369  [16,17]
4370  ]
4371  ],
4372  [
4373  "elongated_triangular_orthobicupola",
4374  "Elongated Triangular Orthobicupola",
4375  "J35",
4376  "johnson",
4377  "Polyhedron Database #79",
4378  [
4379  [-0.34781848477, -0.00000000000, 0.69563696953],
4380  [-0.91580369196, -0.20081309581, 0.34781848477],
4381  [-0.34781848477, -0.60243928743, 0.34781848477],
4382  [ 0.34781848477, 0.00000000000, 0.69563696953],
4383  [-0.34781848477, 0.60243928743, 0.34781848477],
4384  [-0.91580369196, 0.40162619162, 0.00000000000],
4385  [ 0.34781848477, -0.60243928743, 0.34781848477],
4386  [ 0.34781848477, 0.60243928743, 0.34781848477],
4387  [-0.91580369196, -0.20081309581, -0.34781848477],
4388  [ 0.91580369196, -0.20081309581, 0.34781848477],
4389  [-0.34781848477, -0.60243928743, -0.34781848477],
4390  [-0.34781848477, 0.60243928743, -0.34781848477],
4391  [ 0.91580369196, 0.40162619162, 0.00000000000],
4392  [ 0.34781848477, -0.60243928743, -0.34781848477],
4393  [-0.34781848477, -0.00000000000, -0.69563696953],
4394  [ 0.34781848477, 0.60243928743, -0.34781848477],
4395  [ 0.91580369196, -0.20081309581, -0.34781848477],
4396  [ 0.34781848477, 0.00000000000, -0.69563696953]
4397  ],
4398  [
4399  [0.77774577577, -179.99999999997, 26.56505117707],
4400  [1.00000000000, -167.63219484137, 69.64605818337],
4401  [0.77774577577, -119.99999999999, 63.43494882292],
4402  [0.77774577577, 0.00000000002, 26.56505117708],
4403  [0.77774577577, 119.99999999999, 63.43494882292],
4404  [1.00000000000, 156.32012099849, 89.99999999999],
4405  [0.77774577577, -60.00000000000, 63.43494882291],
4406  [0.77774577577, 60.00000000000, 63.43494882292],
4407  [1.00000000000, -167.63219484136, 110.35394181662],
4408  [1.00000000000, -12.36780515862, 69.64605818337],
4409  [0.77774577577, -119.99999999999, 116.56505117707],
4410  [0.77774577577, 119.99999999999, 116.56505117707],
4411  [1.00000000000, 23.67987900150, 89.99999999999],
4412  [0.77774577577, -60.00000000000, 116.56505117707],
4413  [0.77774577577, -179.99999999997, 153.43494882291],
4414  [0.77774577577, 60.00000000000, 116.56505117707],
4415  [1.00000000000, -12.36780515862, 110.35394181661],
4416  [0.77774577577, 0.00000000002, 153.43494882292]
4417  ],
4418  [
4419  [12,16,9],
4420  [13,6,9,16],
4421  [17,13,16],
4422  [15,17,16,12],
4423  [7,15,12],
4424  [3,7,12,9],
4425  [6,3,9],
4426  [5,1,8],
4427  [2,10,8,1],
4428  [0,2,1],
4429  [4,0,1,5],
4430  [11,4,5],
4431  [14,11,5,8],
4432  [10,14,8],
4433  [3,0,4,7],
4434  [6,2,0,3],
4435  [13,10,2,6],
4436  [17,14,10,13],
4437  [15,11,14,17],
4438  [7,4,11,15]
4439  ],
4440  [
4441  [0,1],
4442  [0,2],
4443  [0,3],
4444  [0,4],
4445  [1,2],
4446  [1,5],
4447  [1,8],
4448  [2,6],
4449  [2,10],
4450  [3,6],
4451  [3,7],
4452  [3,9],
4453  [4,5],
4454  [4,7],
4455  [4,11],
4456  [5,8],
4457  [5,11],
4458  [6,9],
4459  [6,13],
4460  [7,12],
4461  [7,15],
4462  [8,10],
4463  [8,14],
4464  [9,12],
4465  [9,16],
4466  [10,13],
4467  [10,14],
4468  [11,14],
4469  [11,15],
4470  [12,15],
4471  [12,16],
4472  [13,16],
4473  [13,17],
4474  [14,17],
4475  [15,17],
4476  [16,17]
4477  ]
4478  ],
4479  [
4480  "elongated_triangular_pyramid",
4481  "Elongated Triangular Pyramid",
4482  "J7",
4483  "johnson",
4484  "Polyhedron Database #51",
4485  [
4486  [ 0.00000000000, -0.60976187997, -0.51164228135],
4487  [ 0.00000000000, 0.27642854663, -0.51164228135],
4488  [ 0.44309521330, -0.60976187997, 0.25582114067],
4489  [ 0.44309521330, 0.27642854663, 0.25582114067],
4490  [-0.44309521330, -0.60976187997, 0.25582114067],
4491  [ 0.00000000000, 1.00000000000, 0.00000000000],
4492  [-0.44309521330, 0.27642854663, 0.25582114067]
4493  ],
4494  [
4495  [0.79598201884, -89.99999999999, 129.99952097856],
4496  [0.58154154233, 89.99999999999, 151.61866820813],
4497  [0.79598201884, -53.99524781249, 71.25295650495],
4498  [0.58154154233, 31.95831192805, 63.90238759393],
4499  [0.79598201884, -126.00475218750, 71.25295650495],
4500  [1.00000000000, 89.99999999999, 89.99999999999],
4501  [0.58154154233, 148.04168807192, 63.90238759393]
4502  ],
4503  [
4504  [4,2,0],
4505  [1,0,2,3],
4506  [1,3,5],
4507  [6,4,0,1],
4508  [6,1,5],
4509  [3,2,4,6],
4510  [3,6,5]
4511  ],
4512  [
4513  [0,1],
4514  [0,2],
4515  [0,4],
4516  [1,3],
4517  [1,5],
4518  [1,6],
4519  [2,3],
4520  [2,4],
4521  [3,5],
4522  [3,6],
4523  [4,6],
4524  [5,6]
4525  ]
4526  ],
4527  [
4528  "gyrate_bidiminished_rhombicosidodecahedron",
4529  "Gyrate Bidiminished Rhombicosidodecahedron",
4530  "J82",
4531  "johnson",
4532  "Polyhedron Database #126",
4533  [
4534  [-0.79612575929, -0.11336310844, 0.25867693987],
4535  [-0.66947058787, 0.23528866771, 0.43300282795],
4536  [-0.59119338708, -0.32884175635, 0.54074215190],
4537  [-0.46453821566, 0.01981001981, 0.71506803998],
4538  [-0.83113238770, 0.07936685332, -0.10134917936],
4539  [-0.79612575929, -0.32884175635, -0.08997483629],
4540  [-0.70447721628, 0.42801862948, 0.07297670872],
4541  [-0.46453821566, -0.67749353251, 0.36641626382],
4542  [-0.25960584345, -0.32884175635, 0.78165460411],
4543  [-0.46453821566, 0.58394044387, 0.36641626382],
4544  [-0.59119338708, -0.67749353251, -0.02338827216],
4545  [-0.13295067202, 0.23528866771, 0.82280736393],
4546  [-0.70447721628, 0.07936685332, -0.49115371534],
4547  [-0.66947058787, -0.32884175635, -0.47977937227],
4548  [-0.13295067202, -0.67749353251, 0.60732871603],
4549  [-0.13295067202, 0.58394044387, 0.60732871603],
4550  [-0.49954484407, 0.64349727738, -0.20908850331],
4551  [ 0.07198170019, -0.11336310845, 0.88939392806],
4552  [-0.46453821566, -0.67749353251, -0.41319280814],
4553  [-0.25960584345, 0.79941909177, 0.08435105179],
4554  [-0.49954484407, 0.42801862948, -0.55774027947],
4555  [-0.46453821566, -0.11336310844, -0.76184458430],
4556  [ 0.27691407240, 0.23528866771, 0.82280736393],
4557  [ 0.07198170019, 0.79941909177, 0.32526350400],
4558  [ 0.27691407240, -0.67749353251, 0.60732871603],
4559  [ 0.27691407240, 0.58394044387, 0.60732871603],
4560  [ 0.40356924382, -0.32884175635, 0.78165460411],
4561  [-0.13295067202, 0.79941909177, -0.30545348419],
4562  [-0.25960584345, 0.23528866771, -0.82843114843],
4563  [-0.13295067202, -0.67749353251, -0.65410526035],
4564  [-0.13295067202, 0.58394044387, -0.65410526035],
4565  [-0.13295067202, -0.32884175635, -0.86958390825],
4566  [ 0.60850161603, 0.01981001981, 0.71506803998],
4567  [ 0.40356924382, 0.79941909177, 0.08435105179],
4568  [ 0.60850161603, -0.67749353251, 0.36641626382],
4569  [ 0.27691407240, 0.79941909177, -0.30545348419],
4570  [ 0.60850161603, 0.58394044387, 0.36641626382],
4571  [ 0.73515678745, -0.32884175635, 0.54074215190],
4572  [ 0.07198170019, 0.01981001981, -0.93617047238],
4573  [ 0.27691407240, -0.67749353251, -0.65410526035],
4574  [ 0.27691407240, 0.58394044387, -0.65410526035],
4575  [ 0.81343398824, 0.23528866771, 0.43300282795],
4576  [ 0.27691407240, -0.32884175635, -0.86958390825],
4577  [ 0.73515678745, -0.67749353251, -0.02338827216],
4578  [ 0.60850161603, -0.67749353251, -0.41319280814],
4579  [ 0.40356924382, 0.23528866771, -0.82843114843],
4580  [ 0.94008915966, -0.11336310845, 0.25867693987],
4581  [ 0.60850161603, -0.11336310844, -0.76184458430],
4582  [ 0.94008915966, -0.32884175635, -0.08997483629],
4583  [ 0.81343398824, -0.32884175635, -0.47977937227]
4584  ],
4585  [
4586  [0.84473734272, -171.89593457093, 72.16831812031],
4587  [0.83129000607, 160.63572888912, 58.60866178300],
4588  [0.86605346053, -150.91570823295, 51.36366929030],
4589  [0.85294225625, 177.55812719079, 33.03322781967],
4590  [0.84104209137, 174.54522686018, 96.92120742169],
4591  [0.86605346053, -157.55680376221, 95.96325455843],
4592  [0.82753470952, 148.71842507240, 84.94076100373],
4593  [0.89947435694, -124.43733388196, 65.96045265335],
4594  [0.88685738132, -128.28951171496, 28.19123079339],
4595  [0.83129000607, 128.50306555186, 63.84632162628],
4596  [0.89947435694, -131.10855239305, 91.48998170361],
4597  [0.86605346053, 119.46876936925, 18.18288150231],
4598  [0.86244954505, 173.57212452891, 124.71445327691],
4599  [0.88685738132, -153.83988066566, 122.75093479887],
4600  [0.91952245057, -101.10258355925, 48.66329961924],
4601  [0.85294225625, 102.82637014166, 44.59888890325],
4602  [0.84104209137, 127.82207342079, 104.39506542626],
4603  [0.89947435694, -57.58584792520, 8.58596617930],
4604  [0.91952245057, -124.43733388197, 116.70236456372],
4605  [0.84473734272, 107.99084811856, 84.26919253434],
4606  [0.86244954505, 139.40946233766, 130.29274684595],
4607  [0.89947435694, -166.28592578126, 147.88563501278],
4608  [0.89947435694, 40.35392897533, 23.82767074809],
4609  [0.86605346053, 84.85481947589, 67.94046716716],
4610  [0.95106627497, -67.76853747710, 50.31423441003],
4611  [0.88685738132, 64.62892993778, 46.77934117875],
4612  [0.93914267042, -39.17430281628, 33.66358843717],
4613  [0.86605346053, 99.44238786019, 110.65229588034],
4614  [0.89947435694, 137.81302751516, 157.07521199724],
4615  [0.95106627497, -101.10258355926, 133.45304725996],
4616  [0.88685738132, 102.82637014164, 137.52347354156],
4617  [0.93914267042, -112.01347609137, 157.80958253688],
4618  [0.93914267042, 1.86462905416, 40.41177254627],
4619  [0.89947435694, 63.21407138989, 84.61900031570],
4620  [0.98159695481, -48.07089785435, 68.08159189905],
4621  [0.89947435694, 70.89421531419, 109.85196349555],
4622  [0.91952245057, 43.82002439110, 66.51647291458],
4623  [0.97004869862, -24.09936572679, 56.12118676306],
4624  [0.93914267042, 15.38738952758, 175.44041496423],
4625  [0.98159695481, -67.76853747708, 131.78739646551],
4626  [0.91952245057, 64.62892993780, 135.34512433191],
4627  [0.95106627497, 16.13270043691, 62.91695564466],
4628  [0.97004869862, -49.89963289594, 153.69312390164],
4629  [1.00000000000, -42.66252981734, 91.34017148525],
4630  [1.00000000000, -48.07089785433, 114.40556045558],
4631  [0.95106627497, 30.24301168600, 150.58148371072],
4632  [0.98159695481, -6.87596095408, 74.72057657713],
4633  [0.98159695481, -10.55315342486, 140.90738566729],
4634  [1.00000000000, -19.27975923521, 95.16215944299],
4635  [1.00000000000, -22.01169124502, 118.67099346243]
4636  ],
4637  [
4638  [25,23,33,36],
4639  [15,23,25],
4640  [15,9,19,23],
4641  [23,19,27,35,33],
4642  [19,16,27],
4643  [9,6,16,19],
4644  [27,16,20,30],
4645  [20,28,30],
4646  [20,12,21,28],
4647  [16,6,4,12,20],
4648  [12,13,21],
4649  [4,5,13,12],
4650  [22,11,15,25],
4651  [17,11,22],
4652  [17,8,3,11],
4653  [11,3,1,9,15],
4654  [8,2,3],
4655  [14,7,2,8],
4656  [3,2,0,1],
4657  [1,6,9],
4658  [1,0,4,6],
4659  [2,7,10,5,0],
4660  [0,5,4],
4661  [10,18,13,5],
4662  [32,26,17,22],
4663  [37,26,32],
4664  [37,34,24,26],
4665  [26,24,14,8,17],
4666  [39,29,18,10,7,14,24,34,43,44],
4667  [41,46,37,32],
4668  [36,33,35,40,45,47,49,48,46,41],
4669  [46,48,43,34,37],
4670  [48,49,44,43],
4671  [49,47,42,39,44],
4672  [42,31,29,39],
4673  [27,30,40,35],
4674  [45,38,42,47],
4675  [40,30,28,38,45],
4676  [38,31,42],
4677  [28,21,31,38],
4678  [41,32,22,25,36],
4679  [21,13,18,29,31]
4680  ],
4681  [
4682  [0,1],
4683  [0,2],
4684  [0,4],
4685  [0,5],
4686  [1,3],
4687  [1,6],
4688  [1,9],
4689  [2,3],
4690  [2,7],
4691  [2,8],
4692  [3,8],
4693  [3,11],
4694  [4,5],
4695  [4,6],
4696  [4,12],
4697  [5,10],
4698  [5,13],
4699  [6,9],
4700  [6,16],
4701  [7,10],
4702  [7,14],
4703  [8,14],
4704  [8,17],
4705  [9,15],
4706  [9,19],
4707  [10,18],
4708  [11,15],
4709  [11,17],
4710  [11,22],
4711  [12,13],
4712  [12,20],
4713  [12,21],
4714  [13,18],
4715  [13,21],
4716  [14,24],
4717  [15,23],
4718  [15,25],
4719  [16,19],
4720  [16,20],
4721  [16,27],
4722  [17,22],
4723  [17,26],
4724  [18,29],
4725  [19,23],
4726  [19,27],
4727  [20,28],
4728  [20,30],
4729  [21,28],
4730  [21,31],
4731  [22,25],
4732  [22,32],
4733  [23,25],
4734  [23,33],
4735  [24,26],
4736  [24,34],
4737  [25,36],
4738  [26,32],
4739  [26,37],
4740  [27,30],
4741  [27,35],
4742  [28,30],
4743  [28,38],
4744  [29,31],
4745  [29,39],
4746  [30,40],
4747  [31,38],
4748  [31,42],
4749  [32,37],
4750  [32,41],
4751  [33,35],
4752  [33,36],
4753  [34,37],
4754  [34,43],
4755  [35,40],
4756  [36,41],
4757  [37,46],
4758  [38,42],
4759  [38,45],
4760  [39,42],
4761  [39,44],
4762  [40,45],
4763  [41,46],
4764  [42,47],
4765  [43,44],
4766  [43,48],
4767  [44,49],
4768  [45,47],
4769  [46,48],
4770  [47,49],
4771  [48,49]
4772  ]
4773  ],
4774  [
4775  "gyrate_rhombicosidodecahedron",
4776  "Gyrate Rhombicosidodecahedron",
4777  "J72",
4778  "johnson",
4779  "Polyhedron Database #116",
4780  [
4781  [-0.22391883643, -0.68915170697, -0.68915174456],
4782  [-0.58622734404, -0.68915176147, -0.42591923920],
4783  [-0.22391886846, -0.30819800523, -0.92459405956],
4784  [-0.81014634819, -0.30819809340, -0.49867491894],
4785  [-0.58622739587, -0.07275572390, -0.80687290726],
4786  [ 0.00000013569, -0.92459402197, -0.38095372899],
4787  [ 0.22391908801, -0.68915165248, -0.68915171731],
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4790  [-0.72461689934, -0.68915179515, -0.00000007133],
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4793  [-0.36230847558, 0.30819799866, -0.87962855976],
4794  [-0.94853593552, 0.07275557466, -0.30819806608],
4795  [-0.72461698319, 0.30819794416, -0.61639605440],
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4800  [-0.58622739587, -0.68915179515, 0.42591911337],
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4806  [-0.94853598734, 0.30819788967, 0.07275563566],
4807  [-0.58622751176, 0.68915164590, -0.42591918470],
4808  [ 0.72461706705, -0.68915161880, 0.00000001684],
4809  [-0.72461698319, -0.30819812708, 0.61639596623],
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4817  [ 0.22391900415, -0.68915170697, 0.68915169006],
4818  [-0.81014648388, 0.30819788967, 0.49867482036],
4819  [-0.22391905598, 0.92459406990, -0.30819798832],
4820  [-0.36230850761, -0.30819809340, 0.87962851567],
4821  [-0.58622751176, 0.07275557466, 0.80687283593],
4822  [ 0.22391886846, 0.92459406990, -0.30819796107],
4823  [ 0.98678585901, 0.13783046089, -0.08518376977],
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4829  [ 0.36230847558, -0.30819800523, 0.87962855976],
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4831  [ 0.84839627169, 0.51878412896, 0.10529308309],
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4833  [ 0.36230837193, 0.92459406990, 0.11772122363],
4834  [-0.22391908801, 0.68915164590, 0.68915171731],
4835  [-0.00000013569, 0.92459406990, 0.38095372899],
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4839  [ 0.58622734404, 0.68915175489, 0.42591923920],
4840  [ 0.22391883643, 0.68915170040, 0.68915174456]
4841  ],
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4843  [0.99999992378, -107.99999046038, 133.56300370786],
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4886  [0.99999991925, 130.38618660694, 64.79114020323],
4887  [1.00000000000, 111.39807457246, 83.23939644770],
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4889  [0.99999991903, 50.37624374108, 101.70688416918],
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4894  [0.99999992050, 126.00001733900, 22.39277100444],
4895  [0.99999991847, 68.60193828489, 83.23939335025],
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4899  [0.99999992050, 20.82795261694, 60.08762538293],
4900  [0.99999992050, 54.00001029464, 22.39276690641],
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4902  [0.99999991925, 72.00000937903, 46.43699604533]
4903  ],
4904  [
4905  [48,45,33,36],
4906  [55,45,48],
4907  [55,56,47,45],
4908  [45,47,35,27,33],
4909  [47,42,35],
4910  [56,50,42,47],
4911  [35,42,31,23],
4912  [31,18,23],
4913  [31,34,20,18],
4914  [42,50,46,34,31],
4915  [34,30,20],
4916  [46,41,30,34],
4917  [49,57,55,48],
4918  [51,57,49],
4919  [51,53,59,57],
4920  [57,59,58,56,55],
4921  [53,54,59],
4922  [43,44,54,53],
4923  [59,54,52,58],
4924  [58,50,56],
4925  [58,52,46,50],
4926  [54,44,38,41,52],
4927  [52,41,46],
4928  [38,24,30,41],
4929  [39,40,51,49],
4930  [28,40,39],
4931  [28,22,37,40],
4932  [40,37,43,53,51],
4933  [22,25,37],
4934  [11,13,25,22],
4935  [37,25,32,43],
4936  [32,44,43],
4937  [32,26,38,44],
4938  [25,13,14,26,32],
4939  [26,24,38],
4940  [14,12,24,26],
4941  [29,19,28,39],
4942  [17,19,29],
4943  [17,7,9,19],
4944  [19,9,11,22,28],
4945  [7,1,9],
4946  [5,0,1,7],
4947  [9,1,3,11],
4948  [3,13,11],
4949  [3,4,14,13],
4950  [1,0,2,4,3],
4951  [4,12,14],
4952  [2,10,12,4],
4953  [36,21,17,29],
4954  [33,21,36],
4955  [33,27,15,21],
4956  [21,15,5,7,17],
4957  [27,16,15],
4958  [35,23,16,27],
4959  [15,16,6,5],
4960  [6,0,5],
4961  [6,8,2,0],
4962  [16,23,18,8,6],
4963  [8,10,2],
4964  [18,20,10,8],
4965  [29,39,49,48,36],
4966  [20,30,24,12,10]
4967  ],
4968  [
4969  [0,1],
4970  [0,2],
4971  [0,5],
4972  [0,6],
4973  [1,3],
4974  [1,7],
4975  [1,9],
4976  [2,4],
4977  [2,8],
4978  [2,10],
4979  [3,4],
4980  [3,11],
4981  [3,13],
4982  [4,12],
4983  [4,14],
4984  [5,6],
4985  [5,7],
4986  [5,15],
4987  [6,8],
4988  [6,16],
4989  [7,9],
4990  [7,17],
4991  [8,10],
4992  [8,18],
4993  [9,11],
4994  [9,19],
4995  [10,12],
4996  [10,20],
4997  [11,13],
4998  [11,22],
4999  [12,14],
5000  [12,24],
5001  [13,14],
5002  [13,25],
5003  [14,26],
5004  [15,16],
5005  [15,21],
5006  [15,27],
5007  [16,23],
5008  [16,27],
5009  [17,19],
5010  [17,21],
5011  [17,29],
5012  [18,20],
5013  [18,23],
5014  [18,31],
5015  [19,28],
5016  [19,29],
5017  [20,30],
5018  [20,34],
5019  [21,33],
5020  [21,36],
5021  [22,25],
5022  [22,28],
5023  [22,37],
5024  [23,31],
5025  [23,35],
5026  [24,26],
5027  [24,30],
5028  [24,38],
5029  [25,32],
5030  [25,37],
5031  [26,32],
5032  [26,38],
5033  [27,33],
5034  [27,35],
5035  [28,39],
5036  [28,40],
5037  [29,36],
5038  [29,39],
5039  [30,34],
5040  [30,41],
5041  [31,34],
5042  [31,42],
5043  [32,43],
5044  [32,44],
5045  [33,36],
5046  [33,45],
5047  [34,46],
5048  [35,42],
5049  [35,47],
5050  [36,48],
5051  [37,40],
5052  [37,43],
5053  [38,41],
5054  [38,44],
5055  [39,40],
5056  [39,49],
5057  [40,51],
5058  [41,46],
5059  [41,52],
5060  [42,47],
5061  [42,50],
5062  [43,44],
5063  [43,53],
5064  [44,54],
5065  [45,47],
5066  [45,48],
5067  [45,55],
5068  [46,50],
5069  [46,52],
5070  [47,56],
5071  [48,49],
5072  [48,55],
5073  [49,51],
5074  [49,57],
5075  [50,56],
5076  [50,58],
5077  [51,53],
5078  [51,57],
5079  [52,54],
5080  [52,58],
5081  [53,54],
5082  [53,59],
5083  [54,59],
5084  [55,56],
5085  [55,57],
5086  [56,58],
5087  [57,59],
5088  [58,59]
5089  ]
5090  ],
5091  [
5092  "gyrobifastigium",
5093  "Gyrobifastigium",
5094  "J26",
5095  "johnson",
5096  "Exact Mathematics",
5097  [
5098  [-0.50000000000, 0.50000000000, 0.00000000000],
5099  [ 0.50000000000, 0.50000000000, 0.00000000000],
5100  [ 0.50000000000, -0.50000000000, 0.00000000000],
5101  [-0.50000000000, -0.50000000000, 0.00000000000],
5102  [ 0.00000000000, 0.50000000000, 0.86602540378],
5103  [ 0.00000000000, -0.50000000000, 0.86602540378],
5104  [-0.50000000000, 0.00000000000, -0.86602540378],
5105  [ 0.50000000000, 0.00000000000, -0.86602540378]
5106  ],
5107  [
5108  [0.70710678119, 134.99999999999, 89.99999999999],
5109  [0.70710678119, 45.00000000000, 89.99999999999],
5110  [0.70710678119, -45.00000000000, 89.99999999999],
5111  [0.70710678119, -134.99999999999, 89.99999999999],
5112  [1.00000000000, 89.99999999999, 30.00000000000],
5113  [1.00000000000, -89.99999999999, 30.00000000000],
5114  [1.00000000000, 179.99999999999, 149.99999999999],
5115  [1.00000000000, 0.00000000000, 149.99999999999]
5116  ],
5117  [
5118  [4,0,1],
5119  [5,2,3],
5120  [6,0,3],
5121  [7,2,1],
5122  [0,4,5,3],
5123  [2,5,4,1],
5124  [0,6,7,1],
5125  [2,7,6,3]
5126  ],
5127  [
5128  [0,1],
5129  [0,3],
5130  [0,4],
5131  [0,6],
5132  [1,2],
5133  [1,4],
5134  [1,7],
5135  [2,3],
5136  [2,5],
5137  [2,7],
5138  [3,5],
5139  [3,6],
5140  [4,5],
5141  [6,7]
5142  ]
5143  ],
5144  [
5145  "gyroelongated_pentagonal_bicupola",
5146  "Gyroelongated Pentagonal Bicupola",
5147  "J46",
5148  "johnson",
5149  "Polyhedron Database #90",
5150  [
5151  [ 0.00000000000, -0.25750808025, -0.96627614511],
5152  [-0.56796286774, -0.25750808025, -0.78173382265],
5153  [ 0.15698107577, -0.57147023180, -0.48313807255],
5154  [-0.41098179196, -0.57147023180, -0.29859575010],
5155  [ 0.56796286774, -0.25750808025, -0.78173382265],
5156  [-0.29859575010, 0.25750808025, -0.91898322435],
5157  [-0.91898322435, -0.25750808025, -0.29859575010],
5158  [ 0.29859575010, 0.25750808025, -0.91898322435],
5159  [-0.78173382265, 0.25750808025, -0.56796286774],
5160  [ 0.50800143238, -0.57147023180, 0.00000000000],
5161  [-0.41098179196, -0.57147023180, 0.29859575010],
5162  [ 0.91898322435, -0.25750808025, -0.29859575010],
5163  [-0.91898322435, -0.25750808025, 0.29859575010],
5164  [ 0.78173382265, 0.25750808025, -0.56796286774],
5165  [-0.96627614511, 0.25750808025, -0.00000000000],
5166  [-0.29859575010, 0.57147023180, -0.41098179196],
5167  [ 0.15698107577, -0.57147023180, 0.48313807255],
5168  [ 0.29859575010, 0.57147023180, -0.41098179196],
5169  [ 0.91898322435, -0.25750808025, 0.29859575010],
5170  [-0.56796286774, -0.25750808025, 0.78173382265],
5171  [ 0.96627614511, 0.25750808025, 0.00000000000],
5172  [-0.48313807255, 0.57147023180, 0.15698107577],
5173  [-0.78173382265, 0.25750808025, 0.56796286774],
5174  [ 0.56796286774, -0.25750808025, 0.78173382265],
5175  [ 0.48313807255, 0.57147023180, 0.15698107577],
5176  [-0.00000000000, -0.25750808025, 0.96627614511],
5177  [ 0.00000000000, 0.57147023180, 0.50800143238],
5178  [ 0.78173382265, 0.25750808025, 0.56796286774],
5179  [-0.29859575010, 0.25750808025, 0.91898322435],
5180  [ 0.29859575010, 0.25750808025, 0.91898322435]
5181  ],
5182  [
5183  [1.00000000000, -89.99999999999, 165.07774833350],
5184  [1.00000000000, -155.61098626196, 141.41959783207],
5185  [0.76461995863, -74.63989772271, 129.18799659412],
5186  [0.76461995863, -125.72239323903, 112.98656321525],
5187  [1.00000000000, -24.38901373804, 141.41959783207],
5188  [1.00000000000, 139.22561430133, 156.77788602884],
5189  [1.00000000000, -164.34660886024, 107.37328013248],
5190  [1.00000000000, 40.77438569864, 156.77788602883],
5191  [1.00000000000, 161.76778911694, 124.60829214701],
5192  [0.76461995863, -48.36489848415, 89.99999999999],
5193  [0.76461995863, -125.72239323904, 67.01343678474],
5194  [1.00000000000, -15.65339113976, 107.37328013247],
5195  [1.00000000000, -164.34660886024, 72.62671986752],
5196  [1.00000000000, 18.23221088303, 124.60829214701],
5197  [1.00000000000, 165.07774833350, 90.00000000000],
5198  [0.76461995863, 117.58726882398, 122.51348704618],
5199  [0.76461995863, -74.63989772272, 50.81200340587],
5200  [0.76461995863, 62.41273117600, 122.51348704617],
5201  [1.00000000000, -15.65339113976, 72.62671986751],
5202  [1.00000000000, -155.61098626196, 38.58040216792],
5203  [1.00000000000, 14.92225166648, 89.99999999999],
5204  [0.76461995863, 130.21218041830, 78.15258661285],
5205  [1.00000000000, 161.76778911695, 55.39170785299],
5206  [1.00000000000, -24.38901373804, 38.58040216791],
5207  [0.76461995863, 49.78781958168, 78.15258661285],
5208  [1.00000000000, -90.00000000002, 14.92225166648],
5209  [0.76461995863, 89.99999999999, 48.36489848416],
5210  [1.00000000000, 18.23221088303, 55.39170785298],
5211  [1.00000000000, 139.22561430134, 23.22211397116],
5212  [1.00000000000, 40.77438569866, 23.22211397116]
5213  ],
5214  [
5215  [3,10,16,9,2],
5216  [11,4,2,9],
5217  [18,11,9],
5218  [23,18,9,16],
5219  [25,23,16],
5220  [19,25,16,10],
5221  [12,19,10],
5222  [6,12,10,3],
5223  [1,6,3],
5224  [0,1,3,2],
5225  [4,0,2],
5226  [26,21,15,17,24],
5227  [13,20,24,17],
5228  [7,13,17],
5229  [5,7,17,15],
5230  [8,5,15],
5231  [14,8,15,21],
5232  [22,14,21],
5233  [28,22,21,26],
5234  [29,28,26],
5235  [27,29,26,24],
5236  [20,27,24],
5237  [12,22,19],
5238  [14,22,12],
5239  [6,14,12],
5240  [8,14,6],
5241  [1,8,6],
5242  [5,8,1],
5243  [0,5,1],
5244  [7,5,0],
5245  [4,7,0],
5246  [13,7,4],
5247  [11,13,4],
5248  [20,13,11],
5249  [18,20,11],
5250  [27,20,18],
5251  [23,27,18],
5252  [29,27,23],
5253  [25,29,23],
5254  [28,29,25],
5255  [19,28,25],
5256  [22,28,19]
5257  ],
5258  [
5259  [0,1],
5260  [0,2],
5261  [0,4],
5262  [0,5],
5263  [0,7],
5264  [1,3],
5265  [1,5],
5266  [1,6],
5267  [1,8],
5268  [2,3],
5269  [2,4],
5270  [2,9],
5271  [3,6],
5272  [3,10],
5273  [4,7],
5274  [4,11],
5275  [4,13],
5276  [5,7],
5277  [5,8],
5278  [5,15],
5279  [6,8],
5280  [6,12],
5281  [6,14],
5282  [7,13],
5283  [7,17],
5284  [8,14],
5285  [8,15],
5286  [9,11],
5287  [9,16],
5288  [9,18],
5289  [10,12],
5290  [10,16],
5291  [10,19],
5292  [11,13],
5293  [11,18],
5294  [11,20],
5295  [12,14],
5296  [12,19],
5297  [12,22],
5298  [13,17],
5299  [13,20],
5300  [14,21],
5301  [14,22],
5302  [15,17],
5303  [15,21],
5304  [16,23],
5305  [16,25],
5306  [17,24],
5307  [18,20],
5308  [18,23],
5309  [18,27],
5310  [19,22],
5311  [19,25],
5312  [19,28],
5313  [20,24],
5314  [20,27],
5315  [21,22],
5316  [21,26],
5317  [22,28],
5318  [23,25],
5319  [23,27],
5320  [23,29],
5321  [24,26],
5322  [24,27],
5323  [25,28],
5324  [25,29],
5325  [26,28],
5326  [26,29],
5327  [27,29],
5328  [28,29]
5329  ]
5330  ],
5331  [
5332  "gyroelongated_pentagonal_birotunda",
5333  "Gyroelongated Pentagonal Birotunda",
5334  "J48",
5335  "johnson",
5336  "Polyhedron Database #92",
5337  [
5338  [-0.13158165180, -0.90481393343, -0.40496668354],
5339  [ 0.34448523671, -0.90481393343, -0.25028317474],
5340  [-0.42580716982, -0.90481393343, -0.00000000000],
5341  [ 0.34448523671, -0.90481393343, 0.25028317474],
5342  [-0.13158165180, -0.90481393343, 0.40496668354],
5343  [ 0.21290358491, -0.64165062983, -0.65524985828],
5344  [-0.55738882162, -0.64165062983, -0.40496668354],
5345  [ 0.68897047342, -0.64165062983, -0.00000000000],
5346  [-0.55738882162, -0.64165062983, 0.40496668354],
5347  [ 0.21290358491, -0.64165062983, 0.65524985828],
5348  [-0.00000000000, -0.21584346001, -0.80993336708],
5349  [ 0.47606688851, -0.21584346001, -0.65524985828],
5350  [-0.47606688851, -0.21584346001, -0.65524985828],
5351  [ 0.77029240653, -0.21584346001, -0.25028317474],
5352  [-0.77029240653, -0.21584346001, -0.25028317474],
5353  [ 0.77029240653, -0.21584346001, 0.25028317474],
5354  [-0.77029240653, -0.21584346001, 0.25028317474],
5355  [ 0.47606688851, -0.21584346001, 0.65524985828],
5356  [-0.47606688851, -0.21584346001, 0.65524985828],
5357  [ 0.00000000000, -0.21584346001, 0.80993336708],
5358  [ 0.25028317474, 0.21584346001, -0.77029240653],
5359  [-0.25028317474, 0.21584346001, -0.77029240653],
5360  [ 0.65524985828, 0.21584346001, -0.47606688851],
5361  [-0.65524985828, 0.21584346001, -0.47606688851],
5362  [ 0.80993336708, 0.21584346001, 0.00000000000],
5363  [-0.80993336708, 0.21584346001, 0.00000000000],
5364  [ 0.65524985828, 0.21584346001, 0.47606688851],
5365  [-0.65524985828, 0.21584346001, 0.47606688851],
5366  [ 0.25028317474, 0.21584346001, 0.77029240653],
5367  [-0.25028317474, 0.21584346001, 0.77029240653],
5368  [ 0.40496668354, 0.64165062983, -0.55738882162],
5369  [-0.40496668354, 0.64165062983, -0.55738882162],
5370  [ 0.65524985828, 0.64165062983, 0.21290358491],
5371  [-0.65524985828, 0.64165062983, 0.21290358491],
5372  [-0.00000000000, 0.64165062983, 0.68897047342],
5373  [-0.00000000000, 0.90481393343, -0.42580716982],
5374  [ 0.40496668354, 0.90481393343, -0.13158165180],
5375  [-0.40496668354, 0.90481393343, -0.13158165180],
5376  [ 0.25028317474, 0.90481393343, 0.34448523671],
5377  [-0.25028317474, 0.90481393343, 0.34448523671]
5378  ],
5379  [
5380  [1.00000000000, -98.27417835556, 113.88903937721],
5381  [1.00000000000, -69.15692238051, 104.49426963502],
5382  [1.00000000000, -115.20176532942, 89.99999999999],
5383  [1.00000000000, -69.15692238051, 75.50573036498],
5384  [1.00000000000, -98.27417835556, 66.11096062278],
5385  [0.94148597653, -71.64384150295, 134.10489156378],
5386  [0.94148597653, -130.98018062352, 115.47616921029],
5387  [0.94148597653, -42.96329304615, 89.99999999999],
5388  [0.94148597653, -130.98018062351, 64.52383078970],
5389  [0.94148597653, -71.64384150294, 45.89510843621],
5390  [0.83820072676, -89.99999999999, 165.07774833351],
5391  [0.83820072676, -24.38901373803, 141.41959783208],
5392  [0.83820072676, -155.61098626195, 141.41959783207],
5393  [0.83820072676, -15.65339113975, 107.37328013248],
5394  [0.83820072676, -164.34660886022, 107.37328013247],
5395  [0.83820072676, -15.65339113975, 72.62671986751],
5396  [0.83820072676, -164.34660886022, 72.62671986751],
5397  [0.83820072676, -24.38901373804, 38.58040216792],
5398  [0.83820072676, -155.61098626193, 38.58040216791],
5399  [0.83820072676, -89.99999999997, 14.92225166649],
5400  [0.83820072676, 40.77438569867, 156.77788602883],
5401  [0.83820072676, 139.22561430134, 156.77788602883],
5402  [0.83820072676, 18.23221088305, 124.60829214701],
5403  [0.83820072676, 161.76778911696, 124.60829214700],
5404  [0.83820072676, 14.92225166649, 89.99999999999],
5405  [0.83820072676, 165.07774833352, 89.99999999999],
5406  [0.83820072676, 18.23221088304, 55.39170785298],
5407  [0.83820072676, 161.76778911696, 55.39170785298],
5408  [0.83820072676, 40.77438569864, 23.22211397115],
5409  [0.83820072676, 139.22561430135, 23.22211397115],
5410  [0.94148597653, 57.74263745303, 126.30126224760],
5411  [0.94148597653, 122.25736254697, 126.30126224760],
5412  [0.94148597653, 44.39922157046, 76.93032995022],
5413  [0.94148597653, 135.60077842954, 76.93032995021],
5414  [0.94148597653, 90.00000000000, 42.96329304615],
5415  [1.00000000000, 90.00000000000, 115.20176532942],
5416  [1.00000000000, 65.88818952781, 97.56099948825],
5417  [1.00000000000, 114.11181047220, 97.56099948825],
5418  [1.00000000000, 74.53787103493, 69.84962412329],
5419  [1.00000000000, 105.46212896507, 69.84962412329]
5420  ],
5421  [
5422  [2,4,3,1,0],
5423  [5,10,12,6,0],
5424  [1,5,0],
5425  [11,10,5],
5426  [7,13,11,5,1],
5427  [3,7,1],
5428  [15,13,7],
5429  [9,17,15,7,3],
5430  [4,9,3],
5431  [19,17,9],
5432  [8,18,19,9,4],
5433  [2,8,4],
5434  [16,18,8],
5435  [6,14,16,8,2],
5436  [0,6,2],
5437  [12,14,6],
5438  [36,38,39,37,35],
5439  [31,21,20,30,35],
5440  [37,31,35],
5441  [23,21,31],
5442  [33,25,23,31,37],
5443  [39,33,37],
5444  [27,25,33],
5445  [34,29,27,33,39],
5446  [38,34,39],
5447  [28,29,34],
5448  [32,26,28,34,38],
5449  [36,32,38],
5450  [24,26,32],
5451  [30,22,24,32,36],
5452  [35,30,36],
5453  [20,22,30],
5454  [19,28,17],
5455  [29,28,19],
5456  [18,29,19],
5457  [27,29,18],
5458  [16,27,18],
5459  [25,27,16],
5460  [14,25,16],
5461  [23,25,14],
5462  [12,23,14],
5463  [21,23,12],
5464  [10,21,12],
5465  [20,21,10],
5466  [11,20,10],
5467  [22,20,11],
5468  [13,22,11],
5469  [24,22,13],
5470  [15,24,13],
5471  [26,24,15],
5472  [17,26,15],
5473  [28,26,17]
5474  ],
5475  [
5476  [0,1],
5477  [0,2],
5478  [0,5],
5479  [0,6],
5480  [1,3],
5481  [1,5],
5482  [1,7],
5483  [2,4],
5484  [2,6],
5485  [2,8],
5486  [3,4],
5487  [3,7],
5488  [3,9],
5489  [4,8],
5490  [4,9],
5491  [5,10],
5492  [5,11],
5493  [6,12],
5494  [6,14],
5495  [7,13],
5496  [7,15],
5497  [8,16],
5498  [8,18],
5499  [9,17],
5500  [9,19],
5501  [10,11],
5502  [10,12],
5503  [10,20],
5504  [10,21],
5505  [11,13],
5506  [11,20],
5507  [11,22],
5508  [12,14],
5509  [12,21],
5510  [12,23],
5511  [13,15],
5512  [13,22],
5513  [13,24],
5514  [14,16],
5515  [14,23],
5516  [14,25],
5517  [15,17],
5518  [15,24],
5519  [15,26],
5520  [16,18],
5521  [16,25],
5522  [16,27],
5523  [17,19],
5524  [17,26],
5525  [17,28],
5526  [18,19],
5527  [18,27],
5528  [18,29],
5529  [19,28],
5530  [19,29],
5531  [20,21],
5532  [20,22],
5533  [20,30],
5534  [21,23],
5535  [21,31],
5536  [22,24],
5537  [22,30],
5538  [23,25],
5539  [23,31],
5540  [24,26],
5541  [24,32],
5542  [25,27],
5543  [25,33],
5544  [26,28],
5545  [26,32],
5546  [27,29],
5547  [27,33],
5548  [28,29],
5549  [28,34],
5550  [29,34],
5551  [30,35],
5552  [30,36],
5553  [31,35],
5554  [31,37],
5555  [32,36],
5556  [32,38],
5557  [33,37],
5558  [33,39],
5559  [34,38],
5560  [34,39],
5561  [35,36],
5562  [35,37],
5563  [36,38],
5564  [37,39],
5565  [38,39]
5566  ]
5567  ],
5568  [
5569  "gyroelongated_pentagonal_cupola",
5570  "gyroelongated pentagonal cupola",
5571  "J24",
5572  "johnson",
5573  "Polyhedron Database #68",
5574  [
5575  [-0.00000000000, -0.35911189524, 0.93329447736],
5576  [ 0.28840384708, 0.13832582951, 0.88761578021],
5577  [-0.28840385178, 0.13832653369, 0.88761580994],
5578  [ 0.54857671146, -0.35911189524, 0.75505106765],
5579  [-0.54857672984, -0.35911189524, 0.75505112419],
5580  [ 0.75505106047, 0.13832544914, 0.54857669736],
5581  [ 0.00000021769, 0.44157195567, 0.49066187278],
5582  [-0.75505110012, 0.13832681641, 0.54857677519],
5583  [ 0.88761574621, -0.35911189524, 0.28840381931],
5584  [ 0.46664743108, 0.44157149822, 0.15162278994],
5585  [-0.88761581268, -0.35911189524, 0.28840391080],
5586  [-0.46664703065, 0.44157223840, 0.15162283804],
5587  [ 0.93329441363, 0.13832533606, -0.00000003247],
5588  [-0.93329450983, 0.13832681641, 0.00000006373],
5589  [ 0.88761571648, -0.35911189524, -0.28840387955],
5590  [ 0.28840402137, 0.44157149822, -0.39695392153],
5591  [-0.88761584241, -0.35911189524, -0.28840378806],
5592  [-0.28840367749, 0.44157195567, -0.39695389180],
5593  [ 0.75505100392, 0.13832533606, -0.54857674393],
5594  [-0.75505115667, 0.13832653369, -0.54857666611],
5595  [ 0.54857663364, -0.35911189524, -0.75505109294],
5596  [-0.54857680766, -0.35911189524, -0.75505103639],
5597  [ 0.28840375558, 0.13832544914, -0.88761577868],
5598  [-0.28840394328, 0.13832570615, -0.88761574896],
5599  [-0.00000009620, -0.35911189524, -0.93329444610]
5600  ],
5601  [
5602  [0.99999996738, -89.99999999999, 21.04566520958],
5603  [0.94348957991, 25.62356242295, 19.81709963233],
5604  [0.94348971256, 154.37632420856, 19.81711666092],
5605  [0.99999993821, -33.20975101489, 40.97016377448],
5606  [0.99999999099, -146.79024986445, 40.97016231526],
5607  [0.94348949474, 10.38147358880, 54.44854706042],
5608  [0.66010216288, 89.99997175420, 41.98568152514],
5609  [0.94348977218, 169.61842656071, 54.44855329201],
5610  [0.99999991461, -22.02728871644, 73.23757940544],
5611  [0.66010202499, 43.41846480197, 76.72082576446],
5612  [1.00000000000, -157.97271277536, 73.23757540434],
5613  [0.66010224810, 136.58146270532, 76.72082604522],
5614  [0.94348945999, 8.43054311795, 90.00000197190],
5615  [0.94348977218, 171.56936881140, 89.99999612993],
5616  [0.99999990560, -22.02728938359, 106.76242435445],
5617  [0.66010202499, 56.85020284935, 126.96681600965],
5618  [0.99999999099, -157.97271344252, 106.76241740614],
5619  [0.66010216288, 123.14973869757, 126.96680377196],
5620  [0.94348945999, 10.38146604644, 125.55145792390],
5621  [0.94348971256, 169.61844807857, 125.55144115342],
5622  [0.99999991461, -33.20975473982, 139.02983999249],
5623  [0.99999996738, -146.79025358942, 139.02983156929],
5624  [0.94348949474, 25.62350807743, 160.18291444669],
5625  [0.94348956182, 154.37646495354, 160.18289781655],
5626  [0.99999993821, -90.00001534856, 158.95433414730]
5627  ],
5628  [
5629  [24,21,16,10,4,0,3,8,14,20],
5630  [5,3,1],
5631  [8,3,5],
5632  [12,8,5],
5633  [14,8,12],
5634  [18,14,12],
5635  [20,14,18],
5636  [22,20,18],
5637  [24,20,22],
5638  [23,24,22],
5639  [21,24,23],
5640  [6,11,17,15,9],
5641  [18,12,9,15],
5642  [22,18,15],
5643  [23,22,15,17],
5644  [19,23,17],
5645  [13,19,17,11],
5646  [7,13,11],
5647  [2,7,11,6],
5648  [1,2,6],
5649  [5,1,6,9],
5650  [12,5,9],
5651  [19,21,23],
5652  [19,16,21],
5653  [16,13,10],
5654  [16,19,13],
5655  [13,7,10],
5656  [4,10,7],
5657  [4,7,2],
5658  [4,2,0],
5659  [0,2,1],
5660  [0,1,3]
5661  ],
5662  [
5663  [0,1],
5664  [0,2],
5665  [0,3],
5666  [0,4],
5667  [1,2],
5668  [1,3],
5669  [1,5],
5670  [1,6],
5671  [2,4],
5672  [2,6],
5673  [2,7],
5674  [3,5],
5675  [3,8],
5676  [4,7],
5677  [4,10],
5678  [5,8],
5679  [5,9],
5680  [5,12],
5681  [6,9],
5682  [6,11],
5683  [7,10],
5684  [7,11],
5685  [7,13],
5686  [8,12],
5687  [8,14],
5688  [9,12],
5689  [9,15],
5690  [10,13],
5691  [10,16],
5692  [11,13],
5693  [11,17],
5694  [12,14],
5695  [12,18],
5696  [13,16],
5697  [13,19],
5698  [14,18],
5699  [14,20],
5700  [15,17],
5701  [15,18],
5702  [15,22],
5703  [16,19],
5704  [16,21],
5705  [17,19],
5706  [17,23],
5707  [18,20],
5708  [18,22],
5709  [19,21],
5710  [19,23],
5711  [20,22],
5712  [20,24],
5713  [21,23],
5714  [21,24],
5715  [22,23],
5716  [22,24],
5717  [23,24]
5718  ]
5719  ],
5720  [
5721  "gyroelongated_pentagonal_cupolarotunda",
5722  "Gyroelongated Pentagonal Cupolarotunda",
5723  "J47",
5724  "johnson",
5725  "Polyhedron Database #91",
5726  [
5727  [-0.86573509887, -0.41397609515, 0.28129438534],
5728  [-0.86573509887, -0.41397609516, -0.28129438534],
5729  [-0.38716850632, -0.70974651523, 0.28129438534],
5730  [-0.38716850632, -0.70974651523, -0.28129438534],
5731  [-0.53505371636, -0.41397609515, 0.73643826167],
5732  [-0.53505371636, -0.41397609516, -0.73643826167],
5733  [-0.91028775266, 0.07119877509, 0.00000000000],
5734  [ 0.14788521004, -0.70974651523, 0.45514387633],
5735  [ 0.14788521004, -0.70974651523, -0.45514387633],
5736  [-0.73643826167, 0.07119877509, 0.53505371636],
5737  [-0.73643826167, 0.07119877509, -0.53505371636],
5738  [ 0.00000000000, -0.41397609515, 0.91028775266],
5739  [ 0.00000000000, -0.41397609516, -0.91028775266],
5740  [ 0.47856659255, -0.70974651523, 0.00000000000],
5741  [-0.28129438534, 0.07119877509, 0.86573509887],
5742  [-0.28129438534, 0.07119877509, -0.86573509887],
5743  [ 0.53505371636, -0.41397609515, 0.73643826167],
5744  [-0.73643826167, 0.54976536764, 0.23928329628],
5745  [ 0.53505371636, -0.41397609516, -0.73643826167],
5746  [-0.45514387633, 0.54976536764, -0.62645180259],
5747  [ 0.86573509887, -0.41397609515, 0.28129438534],
5748  [ 0.86573509887, -0.41397609516, -0.28129438534],
5749  [ 0.28129438534, 0.07119877509, 0.86573509887],
5750  [ 0.28129438534, 0.07119877509, -0.86573509887],
5751  [-0.45514387633, 0.84553578772, -0.14788521004],
5752  [-0.00000000000, 0.54976536764, 0.77433701263],
5753  [ 0.73643826167, 0.07119877509, 0.53505371636],
5754  [-0.28129438534, 0.84553578772, 0.38716850632],
5755  [ 0.73643826167, 0.07119877509, -0.53505371636],
5756  [ 0.91028775266, 0.07119877509, 0.00000000000],
5757  [ 0.00000000000, 0.84553578772, -0.47856659255],
5758  [ 0.45514387633, 0.54976536764, -0.62645180259],
5759  [ 0.28129438534, 0.84553578772, 0.38716850632],
5760  [ 0.73643826167, 0.54976536764, 0.23928329628],
5761  [ 0.45514387633, 0.84553578772, -0.14788521004]
5762  ],
5763  [
5764  [1.00000000000, -154.44386591911, 73.66252713746],
5765  [1.00000000000, -154.44386591911, 106.33747286253],
5766  [0.85601758124, -118.61257768585, 70.81568013754],
5767  [0.85601758124, -118.61257768586, 109.18431986244],
5768  [1.00000000000, -142.27054237741, 42.57111254634],
5769  [1.00000000000, -142.27054237739, 137.42888745365],
5770  [0.91306793735, 175.52767694268, 89.99999999999],
5771  [0.85601758124, -78.23005903945, 57.87966398235],
5772  [0.85601758124, -78.23005903945, 122.12033601762],
5773  [0.91306793735, 174.47781257704, 54.12665023030],
5774  [0.91306793735, 174.47781257705, 125.87334976970],
5775  [1.00000000000, -89.99999999999, 24.45485285534],
5776  [1.00000000000, -89.99999999999, 155.54514714463],
5777  [0.85601758124, -56.00907131426, 89.99999999999],
5778  [0.91306793735, 165.79610391270, 18.52940937577],
5779  [0.91306793735, 165.79610391273, 161.47059062423],
5780  [1.00000000000, -37.72945762258, 42.57111254634],
5781  [0.94965244621, 143.25795096894, 75.40592200318],
5782  [1.00000000000, -37.72945762258, 137.42888745364],
5783  [0.94965244621, 129.62093236985, 131.27427433626],
5784  [1.00000000000, -25.55613408088, 73.66252713746],
5785  [1.00000000000, -25.55613408088, 106.33747286252],
5786  [0.91306793735, 14.20389608731, 18.52940937576],
5787  [0.91306793735, 14.20389608726, 161.47059062422],
5788  [0.97157436763, 118.29315785010, 98.75513298565],
5789  [0.94965244621, 89.99999999999, 35.37406747839],
5790  [0.91306793735, 5.52218742296, 54.12665023029],
5791  [0.97157436763, 108.40134622826, 66.51580975184],
5792  [0.91306793735, 5.52218742295, 125.87334976969],
5793  [0.91306793735, 4.47232305731, 89.99999999999],
5794  [0.97157436763, 89.99999999999, 119.50951909523],
5795  [0.94965244621, 50.37906763014, 131.27427433626],
5796  [0.97157436763, 71.59865377173, 66.51580975183],
5797  [0.94965244621, 36.74204903105, 75.40592200317],
5798  [0.97157436763, 61.70684214989, 98.75513298565]
5799  ],
5800  [
5801  [2,7,13,8,3],
5802  [12,5,3,8],
5803  [18,12,8],
5804  [21,18,8,13],
5805  [20,21,13],
5806  [16,20,13,7],
5807  [11,16,7],
5808  [4,11,7,2],
5809  [0,4,2],
5810  [1,0,2,3],
5811  [5,1,3],
5812  [34,32,27,24,30],
5813  [19,15,23,31,30],
5814  [24,19,30],
5815  [10,15,19],
5816  [17,6,10,19,24],
5817  [27,17,24],
5818  [9,6,17],
5819  [25,14,9,17,27],
5820  [32,25,27],
5821  [22,14,25],
5822  [33,26,22,25,32],
5823  [34,33,32],
5824  [29,26,33],
5825  [31,28,29,33,34],
5826  [30,31,34],
5827  [23,28,31],
5828  [11,22,16],
5829  [14,22,11],
5830  [4,14,11],
5831  [9,14,4],
5832  [0,9,4],
5833  [6,9,0],
5834  [1,6,0],
5835  [10,6,1],
5836  [5,10,1],
5837  [15,10,5],
5838  [12,15,5],
5839  [23,15,12],
5840  [18,23,12],
5841  [28,23,18],
5842  [21,28,18],
5843  [29,28,21],
5844  [20,29,21],
5845  [26,29,20],
5846  [16,26,20],
5847  [22,26,16]
5848  ],
5849  [
5850  [0,1],
5851  [0,2],
5852  [0,4],
5853  [0,6],
5854  [0,9],
5855  [1,3],
5856  [1,5],
5857  [1,6],
5858  [1,10],
5859  [2,3],
5860  [2,4],
5861  [2,7],
5862  [3,5],
5863  [3,8],
5864  [4,9],
5865  [4,11],
5866  [4,14],
5867  [5,10],
5868  [5,12],
5869  [5,15],
5870  [6,9],
5871  [6,10],
5872  [6,17],
5873  [7,11],
5874  [7,13],
5875  [7,16],
5876  [8,12],
5877  [8,13],
5878  [8,18],
5879  [9,14],
5880  [9,17],
5881  [10,15],
5882  [10,19],
5883  [11,14],
5884  [11,16],
5885  [11,22],
5886  [12,15],
5887  [12,18],
5888  [12,23],
5889  [13,20],
5890  [13,21],
5891  [14,22],
5892  [14,25],
5893  [15,19],
5894  [15,23],
5895  [16,20],
5896  [16,22],
5897  [16,26],
5898  [17,24],
5899  [17,27],
5900  [18,21],
5901  [18,23],
5902  [18,28],
5903  [19,24],
5904  [19,30],
5905  [20,21],
5906  [20,26],
5907  [20,29],
5908  [21,28],
5909  [21,29],
5910  [22,25],
5911  [22,26],
5912  [23,28],
5913  [23,31],
5914  [24,27],
5915  [24,30],
5916  [25,27],
5917  [25,32],
5918  [26,29],
5919  [26,33],
5920  [27,32],
5921  [28,29],
5922  [28,31],
5923  [29,33],
5924  [30,31],
5925  [30,34],
5926  [31,34],
5927  [32,33],
5928  [32,34],
5929  [33,34]
5930  ]
5931  ],
5932  [
5933  "gyroelongated_pentagonal_pyramid",
5934  "Gyroelongated Pentagonal Pyramid",
5935  "J11",
5936  "johnson",
5937  "Polyhedron Database #55",
5938  [
5939  [ 0.00000000000, -0.51552832530, -0.85687253767],
5940  [ 0.81493421058, -0.51552832530, -0.26478817615],
5941  [-0.81493421058, -0.51552832530, -0.26478817615],
5942  [ 0.50365704074, -0.51552832530, 0.69322444499],
5943  [-0.50365704074, -0.51552832530, 0.69322444499],
5944  [ 0.50365704074, 0.34134421237, -0.69322444499],
5945  [-0.50365704074, 0.34134421237, -0.69322444499],
5946  [ 0.81493421058, 0.34134421237, 0.26478817615],
5947  [-0.81493421058, 0.34134421237, 0.26478817615],
5948  [ 0.00000000000, 0.34134421237, 0.85687253767],
5949  [ 0.00000000000, 0.87092056467, 0.00000000000]
5950  ],
5951  [
5952  [1.00000000000, -89.99999999999, 148.96722447522],
5953  [1.00000000000, -32.31749266871, 105.35436657410],
5954  [1.00000000000, -147.68250733128, 105.35436657410],
5955  [1.00000000000, -45.66734057222, 46.11410324701],
5956  [1.00000000000, -134.33265942777, 46.11410324701],
5957  [0.92235915842, 34.12672786951, 138.72721633441],
5958  [0.92235915842, 145.87327213048, 138.72721633441],
5959  [0.92235915842, 22.72691217199, 73.31695413023],
5960  [0.92235915842, 157.27308782800, 73.31695413023],
5961  [0.92235915842, 89.99999999999, 21.72038634979],
5962  [0.87092056467, 89.99999999999, 89.99999999999]
5963  ],
5964  [
5965  [8,2,6],
5966  [4,2,8],
5967  [9,4,8],
5968  [3,4,9],
5969  [7,3,9],
5970  [1,3,7],
5971  [5,1,7],
5972  [0,1,5],
5973  [6,0,5],
5974  [2,0,6],
5975  [10,8,6],
5976  [10,9,8],
5977  [10,7,9],
5978  [10,5,7],
5979  [10,6,5],
5980  [0,2,4,3,1]
5981  ],
5982  [
5983  [0,1],
5984  [0,2],
5985  [0,5],
5986  [0,6],
5987  [1,3],
5988  [1,5],
5989  [1,7],
5990  [2,4],
5991  [2,6],
5992  [2,8],
5993  [3,4],
5994  [3,7],
5995  [3,9],
5996  [4,8],
5997  [4,9],
5998  [5,6],
5999  [5,7],
6000  [5,10],
6001  [6,8],
6002  [6,10],
6003  [7,9],
6004  [7,10],
6005  [8,9],
6006  [8,10],
6007  [9,10]
6008  ]
6009  ],
6010  [
6011  "gyroelongated_pentagonal_rotunda",
6012  "Gyroelongated Pentagonal Rotunda",
6013  "J25",
6014  "johnson",
6015  "George W. Hart, Jan 1996. george@li.net",
6016  [
6017  [-0.29571105920, -0.04950715860, -0.91010535520],
6018  [-0.47847076326, 0.45358744372, -0.65855873086],
6019  [-0.77418187852, -0.04950726104, -0.56247669378],
6020  [ 0.29571126590, -0.04950646364, -0.91010527582],
6021  [-0.56247521145, -0.55954789069, -0.77418141284],
6022  [ 0.00000052303, -0.55954789069, -0.95694079064],
6023  [-0.00000070745, 0.76451703904, -0.50309479482],
6024  [ 0.47847074268, 0.45358748593, -0.65855883072],
6025  [-0.47847121983, 0.76451663624, -0.15546523031],
6026  [-0.91010477465, -0.55954789069, -0.29571054106],
6027  [ 0.56247731086, -0.55954752935, -0.77418047213],
6028  [-0.95694093209, -0.04950663948, 0.00000000000],
6029  [ 0.77418175981, -0.04950606747, -0.56247538966],
6030  [ 0.47846978647, 0.76451743521, -0.15546490866],
6031  [-0.77418226189, 0.45358836722, 0.25154596352],
6032  [-0.29571189915, 0.76451766217, 0.40701080265],
6033  [-0.91010512479, -0.55954660028, 0.29571170910],
6034  [ 0.91010596067, -0.55954540107, -0.29570979682],
6035  [ 0.29571042595, 0.76451835713, 0.40701088203],
6036  [-0.77418242144, -0.04950619415, 0.56247611515],
6037  [ 0.95694108050, -0.04950504154, 0.00000064329],
6038  [ 0.77418137644, 0.45358956078, 0.25154726763],
6039  [-0.00000111921, 0.45358920714, 0.81402306114],
6040  [-0.56247597879, -0.55954686649, 0.77418252668],
6041  [ 0.91010530014, -0.55954544802, 0.29571211403],
6042  [-0.29571142443, -0.04950491702, 0.91010501602],
6043  [ 0.77418171999, -0.04950411962, 0.56247643398],
6044  [ 0.29571120761, -0.04950452243, 0.91010599849],
6045  [ 0.00000000246, -0.55954544802, 0.95694236361],
6046  [ 0.56247573694, -0.55954544802, 0.77418298581]
6047  ],
6048  [
6049  [0.95822113672, -170.49583498694, 161.76596488434],
6050  [0.93186664410, 136.52927210381, 134.96779368112],
6051  [0.95822157196, -176.34104063324, 125.94445346544],
6052  [0.95822108920, -9.50402750993, 161.76595833857],
6053  [1.10852562688, -135.14948243355, 134.29784580563],
6054  [1.10852583135, -89.99994644362, 149.68407561018],
6055  [0.91519980089, 90.00005301896, 123.34714343572],
6056  [0.93186672465, 43.47073178910, 134.96779741265],
6057  [0.91519934065, 122.04030938060, 99.78028089231],
6058  [1.10852571775, -148.41609246609, 105.47157038289],
6059  [1.10852585277, -44.85039214107, 134.29776647842],
6060  [0.95822067128, -177.03848495436, 89.99999999999],
6061  [0.95822064887, -3.65887195234, 125.94439716652],
6062  [0.91519920407, 57.95979473503, 99.78026193281],
6063  [0.93186691822, 149.63423908245, 74.33944346159],
6064  [0.91519974680, 111.14624003449, 63.59435249830],
6065  [1.10852566545, -148.41616125470, 74.52836622701],
6066  [1.10852523627, -31.58376047971, 105.47153735774],
6067  [0.91519988663, 68.85387352729, 63.59435129650],
6068  [0.95822161583, -176.34112182907, 54.05559117250],
6069  [0.95822073693, -2.96141916771, 89.99996153518],
6070  [0.93186711559, 30.36585526022, 74.33936358877],
6071  [0.93186732581, 90.00014137402, 29.12738751736],
6072  [1.10852627715, -135.14957395225, 45.70210655316],
6073  [1.10852533581, -31.58378117786, 74.52833979468],
6074  [0.95822081147, -170.49626898878, 18.23404089897],
6075  [0.95822112907, -3.65872857032, 54.05554652187],
6076  [0.95822165731, -9.50366348139, 18.23400667270],
6077  [1.10852595625, -89.99999974766, 30.31577436289],
6078  [1.10852575909, -44.85036574328, 45.70204726816]
6079  ],
6080  [
6081  [11,9,2],
6082  [16,9,11],
6083  [19,16,11],
6084  [23,16,19],
6085  [25,23,19],
6086  [28,23,25],
6087  [27,28,25],
6088  [29,28,27],
6089  [26,29,27],
6090  [24,29,26],
6091  [18,22,15],
6092  [27,25,22],
6093  [13,21,18],
6094  [20,26,21],
6095  [6,7,13],
6096  [3,12,7],
6097  [8,1,6],
6098  [2,0,1],
6099  [15,14,8],
6100  [19,11,14],
6101  [20,24,26],
6102  [17,24,20],
6103  [12,17,20],
6104  [10,17,12],
6105  [3,10,12],
6106  [5,10,3],
6107  [0,5,3],
6108  [4,5,0],
6109  [2,4,0],
6110  [9,4,2],
6111  [8,6,13,18,15],
6112  [22,25,19,14,15],
6113  [21,26,27,22,18],
6114  [7,12,20,21,13],
6115  [1,0,3,7,6],
6116  [14,11,2,1,8],
6117  [29,24,17,10,5,4,9,16,23,28]
6118  ],
6119  [
6120  [0,1],
6121  [0,2],
6122  [0,3],
6123  [0,4],
6124  [0,5],
6125  [1,2],
6126  [1,6],
6127  [1,8],
6128  [2,4],
6129  [2,9],
6130  [2,11],
6131  [3,5],
6132  [3,7],
6133  [3,10],
6134  [3,12],
6135  [4,5],
6136  [4,9],
6137  [5,10],
6138  [6,7],
6139  [6,8],
6140  [6,13],
6141  [7,12],
6142  [7,13],
6143  [8,14],
6144  [8,15],
6145  [9,11],
6146  [9,16],
6147  [10,12],
6148  [10,17],
6149  [11,14],
6150  [11,16],
6151  [11,19],
6152  [12,17],
6153  [12,20],
6154  [13,18],
6155  [13,21],
6156  [14,15],
6157  [14,19],
6158  [15,18],
6159  [15,22],
6160  [16,19],
6161  [16,23],
6162  [17,20],
6163  [17,24],
6164  [18,21],
6165  [18,22],
6166  [19,23],
6167  [19,25],
6168  [20,21],
6169  [20,24],
6170  [20,26],
6171  [21,26],
6172  [22,25],
6173  [22,27],
6174  [23,25],
6175  [23,28],
6176  [24,26],
6177  [24,29],
6178  [25,27],
6179  [25,28],
6180  [26,27],
6181  [26,29],
6182  [27,28],
6183  [27,29],
6184  [28,29]
6185  ]
6186  ],
6187  [
6188  "gyroelongated_square_bicupola",
6189  "Gyroelongated Square Bicupola",
6190  "J45",
6191  "johnson",
6192  "Polyhedron Database #89",
6193  [
6194  [-0.67164442276, -0.31270999145, 0.67164442276],
6195  [-0.94984865176, -0.31270999145, -0.00000000000],
6196  [-0.19672009688, -0.82676437751, 0.47492432588],
6197  [-0.87754572834, 0.31270999145, 0.36349134228],
6198  [-0.00000000000, -0.31270999145, 0.94984865176],
6199  [-0.47492432588, -0.82676437751, -0.19672009688],
6200  [-0.36349134228, 0.31270999145, 0.87754572834],
6201  [-0.87754572834, 0.31270999145, -0.36349134228],
6202  [-0.67164442276, -0.31270999145, -0.67164442276],
6203  [ 0.47492432588, -0.82676437751, 0.19672009688],
6204  [-0.36349134228, 0.82676437751, 0.36349134228],
6205  [ 0.36349134228, 0.31270999145, 0.87754572834],
6206  [ 0.67164442276, -0.31270999145, 0.67164442276],
6207  [ 0.19672009688, -0.82676437751, -0.47492432588],
6208  [-0.36349134228, 0.82676437751, -0.36349134228],
6209  [-0.36349134228, 0.31270999145, -0.87754572834],
6210  [ 0.00000000000, -0.31270999145, -0.94984865176],
6211  [ 0.36349134228, 0.82676437751, 0.36349134228],
6212  [ 0.94984865176, -0.31270999145, 0.00000000000],
6213  [ 0.87754572834, 0.31270999145, 0.36349134228],
6214  [ 0.67164442276, -0.31270999145, -0.67164442276],
6215  [ 0.36349134228, 0.82676437751, -0.36349134228],
6216  [ 0.36349134228, 0.31270999145, -0.87754572834],
6217  [ 0.87754572834, 0.31270999145, -0.36349134228]
6218  ],
6219  [
6220  [1.00000000000, -155.03384957251, 47.80589064815],
6221  [1.00000000000, -161.77737671141, 90.00000000000],
6222  [0.97354570912, -103.38406577317, 60.80197889730],
6223  [1.00000000000, 160.38667322856, 68.68523321432],
6224  [1.00000000000, -90.00000000001, 18.22262328858],
6225  [0.97354570912, -119.87466799726, 101.65777569438],
6226  [1.00000000000, 139.29473544052, 28.65229139610],
6227  [1.00000000000, 160.38667322856, 111.31476678568],
6228  [1.00000000000, -155.03384957250, 132.19410935183],
6229  [0.97354570912, -60.12533200274, 78.34222430560],
6230  [0.97354570912, 113.73294603803, 68.07648537032],
6231  [1.00000000000, 40.70526455949, 28.65229139609],
6232  [1.00000000000, -24.96615042748, 47.80589064815],
6233  [0.97354570912, -76.61593422683, 119.19802110269],
6234  [0.97354570912, 113.73294603803, 111.92351462968],
6235  [1.00000000000, 139.29473544050, 151.34770860390],
6236  [1.00000000000, -89.99999999999, 161.77737671141],
6237  [0.97354570912, 66.26705396195, 68.07648537032],
6238  [1.00000000000, -18.22262328858, 89.99999999999],
6239  [1.00000000000, 19.61332677142, 68.68523321431],
6240  [1.00000000000, -24.96615042748, 132.19410935183],
6241  [0.97354570912, 66.26705396195, 111.92351462967],
6242  [1.00000000000, 40.70526455946, 151.34770860389],
6243  [1.00000000000, 19.61332677142, 111.31476678567]
6244  ],
6245  [
6246  [2,9,13,5],
6247  [16,8,5,13],
6248  [20,16,13],
6249  [18,20,13,9],
6250  [12,18,9],
6251  [4,12,9,2],
6252  [0,4,2],
6253  [1,0,2,5],
6254  [8,1,5],
6255  [17,10,14,21],
6256  [15,22,21,14],
6257  [7,15,14],
6258  [3,7,14,10],
6259  [6,3,10],
6260  [11,6,10,17],
6261  [19,11,17],
6262  [23,19,17,21],
6263  [22,23,21],
6264  [4,11,12],
6265  [6,11,4],
6266  [0,6,4],
6267  [3,6,0],
6268  [1,3,0],
6269  [7,3,1],
6270  [8,7,1],
6271  [15,7,8],
6272  [16,15,8],
6273  [22,15,16],
6274  [20,22,16],
6275  [23,22,20],
6276  [18,23,20],
6277  [19,23,18],
6278  [12,19,18],
6279  [11,19,12]
6280  ],
6281  [
6282  [0,1],
6283  [0,2],
6284  [0,3],
6285  [0,4],
6286  [0,6],
6287  [1,3],
6288  [1,5],
6289  [1,7],
6290  [1,8],
6291  [2,4],
6292  [2,5],
6293  [2,9],
6294  [3,6],
6295  [3,7],
6296  [3,10],
6297  [4,6],
6298  [4,11],
6299  [4,12],
6300  [5,8],
6301  [5,13],
6302  [6,10],
6303  [6,11],
6304  [7,8],
6305  [7,14],
6306  [7,15],
6307  [8,15],
6308  [8,16],
6309  [9,12],
6310  [9,13],
6311  [9,18],
6312  [10,14],
6313  [10,17],
6314  [11,12],
6315  [11,17],
6316  [11,19],
6317  [12,18],
6318  [12,19],
6319  [13,16],
6320  [13,20],
6321  [14,15],
6322  [14,21],
6323  [15,16],
6324  [15,22],
6325  [16,20],
6326  [16,22],
6327  [17,19],
6328  [17,21],
6329  [18,19],
6330  [18,20],
6331  [18,23],
6332  [19,23],
6333  [20,22],
6334  [20,23],
6335  [21,22],
6336  [21,23],
6337  [22,23]
6338  ]
6339  ],
6340  [
6341  "gyroelongated_square_cupola",
6342  "Gyroelongated Square Cupola",
6343  "J23",
6344  "johnson",
6345  "George W. Hart, Jan 1996. george@li.net",
6346  [
6347  [-0.96831824071, -0.48735789808, -0.00000021782],
6348  [-0.89460886676, 0.15022236527, -0.37055936263],
6349  [-0.89460971347, 0.15022270720, 0.37055897703],
6350  [-0.68470429246, -0.48735861816, -0.68470365097],
6351  [-0.68470496770, -0.48735791416, 0.68470376160],
6352  [-0.37055870008, 0.15022287729, -0.89460872578],
6353  [-0.37055878003, 0.67427256429, -0.37055942621],
6354  [-0.37055962674, 0.67427290622, 0.37055891344],
6355  [-0.37055949289, 0.15022274465, 0.89460972991],
6356  [ 0.00000044250, -0.48735861593, -0.96831714338],
6357  [-0.00000000000, -0.48735834348, 0.96831813960],
6358  [ 0.37055989763, 0.15022262334, -0.89460821149],
6359  [ 0.37055981768, 0.67427231034, -0.37055891192],
6360  [ 0.37055897097, 0.67427265227, 0.37055942773],
6361  [ 0.37055911845, 0.15022321079, 0.89460955045],
6362  [ 0.68470442408, -0.48735832740, -0.68470348109],
6363  [ 0.68470373520, -0.48735834348, 0.68470462523],
6364  [ 0.89460914945, 0.15022268476, -0.37055889419],
6365  [ 0.89460930250, 0.15022302892, 0.37055946742],
6366  [ 0.96831769709, -0.48735834348, 0.00000049832]
6367  ],
6368  [
6369  [1.08404701748, -153.28373061952, 90.00001151235],
6370  [0.97990102804, 170.46784429609, 112.21975466419],
6371  [0.97990170765, 170.46783185384, 67.78028592334],
6372  [1.08404680732, -144.55751073826, 129.16960868243],
6373  [1.08404698719, -144.55757653316, 50.83039152070],
6374  [0.97990072727, 157.93258151997, 155.91745452484],
6375  [0.85397399771, 118.79179713591, 115.71681727051],
6376  [0.85397441259, 118.79184013101, 64.28323432190],
6377  [0.97990192348, 157.93264181446, 24.08255807837],
6378  [1.08404636002, -89.99994797752, 153.28367065477],
6379  [1.08404712741, -89.99999999999, 26.71629281115],
6380  [0.97990067168, 22.06732028695, 155.91738810322],
6381  [0.85397402430, 61.20812603511, 115.71677811230],
6382  [0.85397415069, 61.20819355785, 64.28318755987],
6383  [0.97990168950, 22.06744024340, 24.08255318471],
6384  [1.08404665244, -35.44246790965, 129.16960377050],
6385  [1.08404694722, -35.44249603594, 50.83033092297],
6386  [0.97990115796, 9.53217264748, 112.21972197428],
6387  [0.97990156721, 9.53219248419, 67.78025159509],
6388  [1.08404673214, -26.71630332593, 89.99997366202]
6389  ],
6390  [
6391  [2,0,1],
6392  [4,0,2],
6393  [8,4,2],
6394  [10,4,8],
6395  [14,10,8],
6396  [16,10,14],
6397  [18,16,14],
6398  [19,16,18],
6399  [18,14,13],
6400  [11,17,12],
6401  [1,5,6],
6402  [8,2,7],
6403  [17,19,18],
6404  [17,15,19],
6405  [11,15,17],
6406  [9,15,11],
6407  [5,9,11],
6408  [3,9,5],
6409  [1,3,5],
6410  [0,3,1],
6411  [6,12,13,7],
6412  [14,8,7,13],
6413  [17,18,13,12],
6414  [5,11,12,6],
6415  [2,1,6,7],
6416  [16,19,15,9,3,0,4,10]
6417  ],
6418  [
6419  [0,1],
6420  [0,2],
6421  [0,3],
6422  [0,4],
6423  [1,2],
6424  [1,3],
6425  [1,5],
6426  [1,6],
6427  [2,4],
6428  [2,7],
6429  [2,8],
6430  [3,5],
6431  [3,9],
6432  [4,8],
6433  [4,10],
6434  [5,6],
6435  [5,9],
6436  [5,11],
6437  [6,7],
6438  [6,12],
6439  [7,8],
6440  [7,13],
6441  [8,10],
6442  [8,14],
6443  [9,11],
6444  [9,15],
6445  [10,14],
6446  [10,16],
6447  [11,12],
6448  [11,15],
6449  [11,17],
6450  [12,13],
6451  [12,17],
6452  [13,14],
6453  [13,18],
6454  [14,16],
6455  [14,18],
6456  [15,17],
6457  [15,19],
6458  [16,18],
6459  [16,19],
6460  [17,18],
6461  [17,19],
6462  [18,19]
6463  ]
6464  ],
6465  [
6466  "gyroelongated_square_dipyramid",
6467  "Gyroelongated Square Dipyramid",
6468  "J17",
6469  "johnson",
6470  "Polyhedron Database #61",
6471  [
6472  [-0.44343735335, 0.37288488082, -0.44343735335],
6473  [ 0.00000000000, -0.37288488082, -0.62711511918],
6474  [-0.62711511918, -0.37288488082, 0.00000000000],
6475  [ 0.44343735335, 0.37288488082, -0.44343735335],
6476  [ 0.00000000000, 1.00000000000, 0.00000000000],
6477  [ 0.00000000000, -1.00000000000, 0.00000000000],
6478  [-0.44343735335, 0.37288488082, 0.44343735335],
6479  [ 0.62711511918, -0.37288488082, 0.00000000000],
6480  [-0.00000000000, -0.37288488082, 0.62711511918],
6481  [ 0.44343735335, 0.37288488082, 0.44343735335]
6482  ],
6483  [
6484  [0.72960023783, 139.93964097363, 127.42924609280],
6485  [0.72960023783, -89.99999999998, 149.26413289763],
6486  [0.72960023783, -149.26413289763, 89.99999999999],
6487  [0.72960023783, 40.06035902637, 127.42924609279],
6488  [1.00000000000, 89.99999999999, 89.99999999999],
6489  [1.00000000000, -89.99999999999, 89.99999999999],
6490  [0.72960023783, 139.93964097364, 52.57075390718],
6491  [0.72960023783, -30.73586710236, 89.99999999999],
6492  [0.72960023783, -90.00000000001, 30.73586710237],
6493  [0.72960023783, 40.06035902636, 52.57075390719]
6494  ],
6495  [
6496  [9,8,6],
6497  [7,8,9],
6498  [3,7,9],
6499  [1,7,3],
6500  [0,1,3],
6501  [2,1,0],
6502  [6,2,0],
6503  [8,2,6],
6504  [4,9,6],
6505  [4,3,9],
6506  [4,0,3],
6507  [4,6,0],
6508  [5,8,7],
6509  [5,7,1],
6510  [5,1,2],
6511  [5,2,8]
6512  ],
6513  [
6514  [0,1],
6515  [0,2],
6516  [0,3],
6517  [0,4],
6518  [0,6],
6519  [1,2],
6520  [1,3],
6521  [1,5],
6522  [1,7],
6523  [2,5],
6524  [2,6],
6525  [2,8],
6526  [3,4],
6527  [3,7],
6528  [3,9],
6529  [4,6],
6530  [4,9],
6531  [5,7],
6532  [5,8],
6533  [6,8],
6534  [6,9],
6535  [7,8],
6536  [7,9],
6537  [8,9]
6538  ]
6539  ],
6540  [
6541  "gyroelongated_square_pyramid",
6542  "Gyroelongated Square Pyramid",
6543  "J10",
6544  "johnson",
6545  "Polyhedron Database #54",
6546  [
6547  [-0.49886702252, 0.29449549093, 0.49886702252],
6548  [-0.70550450907, -0.54449549093, 0.00000000000],
6549  [ 0.00000000000, -0.54449549093, 0.70550450907],
6550  [-0.49886702252, 0.29449549093, -0.49886702252],
6551  [ 0.49886702252, 0.29449549093, 0.49886702252],
6552  [ 0.00000000000, 1.00000000000, -0.00000000000],
6553  [ 0.00000000000, -0.54449549093, -0.70550450907],
6554  [ 0.70550450907, -0.54449549093, 0.00000000000],
6555  [ 0.49886702252, 0.29449549093, -0.49886702252]
6556  ],
6557  [
6558  [0.76450258763, 149.44542958801, 49.26676609489],
6559  [0.89118570004, -142.33969611372, 89.99999999999],
6560  [0.89118570004, -89.99999999999, 37.66030388627],
6561  [0.76450258763, 149.44542958801, 130.73323390511],
6562  [0.76450258763, 30.55457041198, 49.26676609488],
6563  [1.00000000000, 89.99999999999, 89.99999999999],
6564  [0.89118570004, -89.99999999999, 142.33969611372],
6565  [0.89118570004, -37.66030388627, 89.99999999999],
6566  [0.76450258763, 30.55457041197, 130.73323390510]
6567  ],
6568  [
6569  [8,7,4],
6570  [6,7,8],
6571  [3,6,8],
6572  [1,6,3],
6573  [0,1,3],
6574  [2,1,0],
6575  [4,2,0],
6576  [7,2,4],
6577  [5,8,4],
6578  [5,3,8],
6579  [5,0,3],
6580  [5,4,0],
6581  [2,7,6,1]
6582  ],
6583  [
6584  [0,1],
6585  [0,2],
6586  [0,3],
6587  [0,4],
6588  [0,5],
6589  [1,2],
6590  [1,3],
6591  [1,6],
6592  [2,4],
6593  [2,7],
6594  [3,5],
6595  [3,6],
6596  [3,8],
6597  [4,5],
6598  [4,7],
6599  [4,8],
6600  [5,8],
6601  [6,7],
6602  [6,8],
6603  [7,8]
6604  ]
6605  ],
6606  [
6607  "gyroelongated_triangular_bicupola",
6608  "Gyroelongated Triangular Bicupola",
6609  "J44",
6610  "johnson",
6611  "Polyhedron Database #88",
6612  [
6613  [ 0.63134418058, -0.31187184274, 0.36450673261],
6614  [ 0.72901346521, 0.31187184274, 0.00000000000],
6615  [ 0.36450673261, 0.31187184274, 0.63134418058],
6616  [ 0.36450673261, 0.90710884454, 0.21044806019],
6617  [ 0.63134418058, -0.31187184274, -0.36450673261],
6618  [-0.00000000000, -0.31187184274, 0.72901346521],
6619  [ 0.42089612038, -0.90710884454, 0.00000000000],
6620  [ 0.36450673261, 0.31187184274, -0.63134418058],
6621  [-0.36450673261, 0.31187184274, 0.63134418058],
6622  [ 0.00000000000, 0.90710884454, -0.42089612038],
6623  [-0.36450673261, 0.90710884454, 0.21044806019],
6624  [-0.21044806019, -0.90710884454, 0.36450673261],
6625  [ 0.00000000000, -0.31187184274, -0.72901346521],
6626  [-0.63134418058, -0.31187184274, 0.36450673261],
6627  [-0.21044806019, -0.90710884454, -0.36450673261],
6628  [-0.36450673261, 0.31187184274, -0.63134418058],
6629  [-0.72901346521, 0.31187184274, 0.00000000000],
6630  [-0.63134418058, -0.31187184274, -0.36450673261]
6631  ],
6632  [
6633  [0.79292160947, -26.28848321387, 62.63219484138],
6634  [0.79292160947, 23.16123122604, 89.99999999999],
6635  [0.79292160947, 40.55028556009, 37.22886588831],
6636  [1.00000000000, 68.10808531986, 77.85138899884],
6637  [0.79292160947, -26.28848321387, 117.36780515862],
6638  [0.79292160947, -90.00000000001, 23.16123122605],
6639  [1.00000000000, -65.10882375298, 89.99999999999],
6640  [0.79292160947, 40.55028556008, 142.77113411168],
6641  [0.79292160947, 139.44971443989, 37.22886588831],
6642  [1.00000000000, 89.99999999999, 114.89117624701],
6643  [1.00000000000, 111.89191468012, 77.85138899885],
6644  [1.00000000000, -103.06147965387, 68.62277065625],
6645  [0.79292160947, -89.99999999999, 156.83876877394],
6646  [0.79292160947, -153.71151678613, 62.63219484138],
6647  [1.00000000000, -103.06147965386, 111.37722934374],
6648  [0.79292160947, 139.44971443989, 142.77113411168],
6649  [0.79292160947, 156.83876877394, 89.99999999999],
6650  [0.79292160947, -153.71151678613, 117.36780515861]
6651  ],
6652  [
6653  [6,14,11],
6654  [17,13,11,14],
6655  [12,17,14],
6656  [4,12,14,6],
6657  [0,4,6],
6658  [5,0,6,11],
6659  [13,5,11],
6660  [3,10,9],
6661  [16,15,9,10],
6662  [8,16,10],
6663  [2,8,10,3],
6664  [1,2,3],
6665  [7,1,3,9],
6666  [15,7,9],
6667  [0,1,4],
6668  [2,1,0],
6669  [5,2,0],
6670  [8,2,5],
6671  [13,8,5],
6672  [16,8,13],
6673  [17,16,13],
6674  [15,16,17],
6675  [12,15,17],
6676  [7,15,12],
6677  [4,7,12],
6678  [1,7,4]
6679  ],
6680  [
6681  [0,1],
6682  [0,2],
6683  [0,4],
6684  [0,5],
6685  [0,6],
6686  [1,2],
6687  [1,3],
6688  [1,4],
6689  [1,7],
6690  [2,3],
6691  [2,5],
6692  [2,8],
6693  [3,9],
6694  [3,10],
6695  [4,6],
6696  [4,7],
6697  [4,12],
6698  [5,8],
6699  [5,11],
6700  [5,13],
6701  [6,11],
6702  [6,14],
6703  [7,9],
6704  [7,12],
6705  [7,15],
6706  [8,10],
6707  [8,13],
6708  [8,16],
6709  [9,10],
6710  [9,15],
6711  [10,16],
6712  [11,13],
6713  [11,14],
6714  [12,14],
6715  [12,15],
6716  [12,17],
6717  [13,16],
6718  [13,17],
6719  [14,17],
6720  [15,16],
6721  [15,17],
6722  [16,17]
6723  ]
6724  ],
6725  [
6726  "gyroelongated_triangular_cupola",
6727  "Gyroelongated Triangular Cupola",
6728  "J22",
6729  "johnson",
6730  "George W. Hart, Jan 1996. george@li.net",
6731  [
6732  [ 0.44529327448, 0.15936283250, -0.77127203187],
6733  [ 0.00000000000, -0.60262393500, -0.89058831560],
6734  [-0.44529488243, 0.15936276366, -0.77127156307],
6735  [ 0.00000001693, 0.88652471041, -0.51418057464],
6736  [ 0.77127140657, -0.60262419314, -0.44529512992],
6737  [-0.77127165651, -0.60262393500, -0.44529357949],
6738  [ 0.89058817596, 0.15936218866, -0.00000065070],
6739  [ 0.44529397235, 0.88652380844, 0.25709061076],
6740  [-0.89058829362, 0.15936188358, 0.00000126041],
6741  [-0.44529434033, 0.88652357219, 0.25709205307],
6742  [ 0.77127238676, -0.60262514463, 0.44529286947],
6743  [-0.77127162239, -0.60262514463, 0.44529422414],
6744  [ 0.44529492054, 0.15936147598, 0.77127119927],
6745  [-0.44529339214, 0.15936123973, 0.77127264158],
6746  [ 0.00000073025, -0.60262514463, 0.89058760558]
6747  ],
6748  [
6749  [0.90473375080, 19.69141822539, 148.48299894819],
6750  [1.07531537463, -89.99999999999, 145.91542858827],
6751  [0.90473413042, 160.30865526287, 148.48290294884],
6752  [1.02484522027, 89.99999890563, 120.11355143916],
6753  [1.07531542046, -38.00188799203, 114.46306257809],
6754  [1.07531481302, -141.99813292322, 114.46298654369],
6755  [0.90473399756, 10.14515657681, 90.00004120826],
6756  [1.02484475257, 63.32997959913, 75.47170388511],
6757  [0.90473405964, 169.85486375403, 89.99992017945],
6758  [1.02484506991, 116.67004551587, 75.47162518425],
6759  [1.07531572067, -38.00189655466, 65.53707702127],
6760  [1.07531573340, -141.99807589644, 65.53699803049],
6761  [0.90473361224, 19.69119630759, 31.51708760770],
6762  [0.90473404792, 160.30876824950, 31.51695787360],
6763  [1.07531546449, -89.99993057001, 34.08464599345]
6764  ],
6765  [
6766  [2,1,0],
6767  [5,1,2],
6768  [8,5,2],
6769  [11,5,8],
6770  [13,11,8],
6771  [14,11,13],
6772  [7,9,3],
6773  [13,8,9],
6774  [6,12,7],
6775  [2,0,3],
6776  [12,14,13],
6777  [10,14,12],
6778  [6,10,12],
6779  [4,10,6],
6780  [0,4,6],
6781  [1,4,0],
6782  [8,2,3,9],
6783  [12,13,9,7],
6784  [0,6,7,3],
6785  [14,10,4,1,5,11]
6786  ],
6787  [
6788  [0,1],
6789  [0,2],
6790  [0,3],
6791  [0,4],
6792  [0,6],
6793  [1,2],
6794  [1,4],
6795  [1,5],
6796  [2,3],
6797  [2,5],
6798  [2,8],
6799  [3,7],
6800  [3,9],
6801  [4,6],
6802  [4,10],
6803  [5,8],
6804  [5,11],
6805  [6,7],
6806  [6,10],
6807  [6,12],
6808  [7,9],
6809  [7,12],
6810  [8,9],
6811  [8,11],
6812  [8,13],
6813  [9,13],
6814  [10,12],
6815  [10,14],
6816  [11,13],
6817  [11,14],
6818  [12,13],
6819  [12,14],
6820  [13,14]
6821  ]
6822  ],
6823  [
6824  "hebesphenomegacorona",
6825  "Hebesphenomegacorona",
6826  "J89",
6827  "johnson",
6828  "Polyhedron Database #133",
6829  [
6830  [-0.44436577553, 0.10865575777, -0.63708044509],
6831  [-0.97875627619, -0.20502719776, -0.00000041459],
6832  [-0.74267607355, 0.65177442800, 0.00000045420],
6833  [-0.44436577553, -0.75892996467, -0.44436619012],
6834  [ 0.00000000000, 0.85380143750, -0.44436110679],
6835  [ 0.44436577553, 0.10865575777, -0.63708044509],
6836  [ 0.44436577553, -0.75892996467, -0.44436619012],
6837  [-0.44436577553, -0.75892996467, 0.44436536094],
6838  [-0.44436577553, 0.10865575777, 0.63707961591],
6839  [ 0.00000000000, 0.85380092963, 0.44436434428],
6840  [ 0.74267607355, 0.65177442800, 0.00000045420],
6841  [ 0.97875627619, -0.20502719776, -0.00000041459],
6842  [ 0.44436577553, -0.75892996467, 0.44436536094],
6843  [ 0.44436577553, 0.10865575777, 0.63707961591]
6844  ],
6845  [
6846  [0.78430766264, 166.25971517264, 144.31967335649],
6847  [1.00000000000, -168.16890881610, 90.00002375411],
6848  [0.98811823949, 138.72972856946, 89.99997366353],
6849  [0.98534102962, -120.34966351979, 116.80638771671],
6850  [0.96251425336, 89.99999999999, 117.49473099885],
6851  [0.78430766264, 13.74028482734, 144.31967335649],
6852  [0.98534102962, -59.65033648019, 116.80638771670],
6853  [0.98534065568, -120.34966351979, 63.19365531690],
6854  [0.78430698911, 166.25971517264, 35.68036197375],
6855  [0.96251529749, 89.99999999999, 62.50508409268],
6856  [0.98811823949, 41.27027143053, 89.99997366353],
6857  [1.00000000000, -11.83109118388, 90.00002375411],
6858  [0.98534065568, -59.65033648019, 63.19365531690],
6859  [0.78430698911, 13.74028482736, 35.68036197374]
6860  ],
6861  [
6862  [13,12,7,8],
6863  [13,8,9],
6864  [2,8,1],
6865  [8,7,1],
6866  [10,11,13],
6867  [11,12,13],
6868  [9,8,2],
6869  [10,13,9],
6870  [7,12,6,3],
6871  [11,6,12],
6872  [1,7,3],
6873  [0,3,6,5],
6874  [0,5,4],
6875  [10,5,11],
6876  [5,6,11],
6877  [2,1,0],
6878  [1,3,0],
6879  [9,4,10],
6880  [4,5,10],
6881  [9,2,4],
6882  [2,0,4]
6883  ],
6884  [
6885  [0,1],
6886  [0,2],
6887  [0,3],
6888  [0,4],
6889  [0,5],
6890  [1,2],
6891  [1,3],
6892  [1,7],
6893  [1,8],
6894  [2,4],
6895  [2,8],
6896  [2,9],
6897  [3,6],
6898  [3,7],
6899  [4,5],
6900  [4,9],
6901  [4,10],
6902  [5,6],
6903  [5,10],
6904  [5,11],
6905  [6,11],
6906  [6,12],
6907  [7,8],
6908  [7,12],
6909  [8,9],
6910  [8,13],
6911  [9,10],
6912  [9,13],
6913  [10,11],
6914  [10,13],
6915  [11,12],
6916  [11,13],
6917  [12,13]
6918  ]
6919  ],
6920  [
6921  "metabiaugmented_dodecahedron",
6922  "Metabiaugmented Dodecahedron",
6923  "J60",
6924  "johnson",
6925  "Polyhedron Database #104",
6926  [
6927  [ 0.00000000000, 0.65452059129, 0.55759222022],
6928  [ 0.50581020974, 0.65452059129, 0.19009959174],
6929  [-0.50581020974, 0.65452059129, 0.19009959174],
6930  [ 0.31260790148, 0.65452059129, -0.40451597176],
6931  [-0.31260790148, 0.65452059129, -0.40451597176],
6932  [ 0.87181791589, 0.41667436589, -0.25751892036],
6933  [-0.00000000000, 0.12268026311, 0.88628761962],
6934  [-0.87181791589, 0.41667436589, -0.25751892036],
6935  [ 0.81841811122, 0.12268026311, 0.29167205613],
6936  [-0.81841811122, 0.12268026311, 0.29167205613],
6937  [ 0.50581020974, -0.20601513629, 0.72193991992],
6938  [ 0.50581020974, 0.12268026311, -0.67043613585],
6939  [-0.50581020974, -0.20601513629, 0.72193991992],
6940  [-0.50581020974, 0.12268026311, -0.67043613585],
6941  [ 0.81841811122, -0.20601513629, -0.24016827205],
6942  [-0.81841811122, -0.20601513629, -0.24016827205],
6943  [ 0.00000000000, -0.20601513629, -0.83478383555],
6944  [ 0.31260790148, -0.73785546447, 0.45601975583],
6945  [-0.31260790148, -0.73785546447, 0.45601975583],
6946  [ 0.50581020974, -0.73785546447, -0.13859580767],
6947  [-0.50581020974, -0.73785546447, -0.13859580767],
6948  [ 0.00000000000, -0.73785546447, -0.50608843614]
6949  ],
6950  [
6951  [0.85982922053, 89.99999999999, 49.57201179471],
6952  [0.84875145213, 52.30333159337, 77.05735458332],
6953  [0.84875145213, 127.69666840662, 77.05735458333],
6954  [0.83051434419, 64.47022703079, 119.14797310171],
6955  [0.83051434419, 115.52977296919, 119.14797310172],
6956  [1.00000000000, 25.54487872109, 104.92289443691],
6957  [0.89473805756, 90.00000000004, 7.88082507815],
6958  [1.00000000000, 154.45512127889, 104.92289443692],
6959  [0.87745725825, 8.52512014166, 70.58512496627],
6960  [0.87745725825, 171.47487985833, 70.58512496628],
6961  [0.90525325331, -22.16093532961, 37.10792400551],
6962  [0.84875145213, 13.63337181501, 142.17697794898],
6963  [0.90525325331, -157.83906467039, 37.10792400552],
6964  [0.84875145213, 166.36662818497, 142.17697794900],
6965  [0.87745725825, -14.12915047757, 105.88511571547],
6966  [0.87745725825, -165.87084952241, 105.88511571547],
6967  [0.85982922053, -89.99999999997, 166.13706297176],
6968  [0.92201323430, -67.03903927567, 60.35719392757],
6969  [0.92201323430, -112.96096072433, 60.35719392758],
6970  [0.90525325331, -55.56881898970, 98.80671736121],
6971  [0.90525325331, -124.43118101028, 98.80671736121],
6972  [0.89473805756, -89.99999999999, 124.44587625521]
6973  ],
6974  [
6975  [1,8,10,6,0],
6976  [17,10,8,14,19],
6977  [3,1,0,2,4],
6978  [2,0,6,12,9],
6979  [12,6,10,17,18],
6980  [18,20,15,9,12],
6981  [4,13,16,11,3],
6982  [11,16,21,19,14],
6983  [19,21,20,18,17],
6984  [16,13,15,20,21],
6985  [15,13,7],
6986  [9,15,7],
6987  [13,4,7],
6988  [4,2,7],
6989  [9,7,2],
6990  [8,1,5],
6991  [14,8,5],
6992  [1,3,5],
6993  [3,11,5],
6994  [14,5,11]
6995  ],
6996  [
6997  [0,1],
6998  [0,2],
6999  [0,6],
7000  [1,3],
7001  [1,5],
7002  [1,8],
7003  [2,4],
7004  [2,7],
7005  [2,9],
7006  [3,4],
7007  [3,5],
7008  [3,11],
7009  [4,7],
7010  [4,13],
7011  [5,8],
7012  [5,11],
7013  [5,14],
7014  [6,10],
7015  [6,12],
7016  [7,9],
7017  [7,13],
7018  [7,15],
7019  [8,10],
7020  [8,14],
7021  [9,12],
7022  [9,15],
7023  [10,17],
7024  [11,14],
7025  [11,16],
7026  [12,18],
7027  [13,15],
7028  [13,16],
7029  [14,19],
7030  [15,20],
7031  [16,21],
7032  [17,18],
7033  [17,19],
7034  [18,20],
7035  [19,21],
7036  [20,21]
7037  ]
7038  ],
7039  [
7040  "metabiaugmented_hexagonal_prism",
7041  "Metabiaugmented Hexagonal Prism",
7042  "J56",
7043  "johnson",
7044  "Polyhedron Database #100",
7045  [
7046  [-0.89625815953, 0.00000000000, -0.44353276257],
7047  [-0.32893287329, -0.32893287329, -0.49580632172],
7048  [-0.32893287329, 0.32893287329, -0.49580632172],
7049  [-0.65786574658, -0.32893287329, 0.07392212710],
7050  [-0.65786574658, 0.32893287329, 0.07392212710],
7051  [ 0.32893287329, -0.32893287329, -0.49580632172],
7052  [ 0.32893287329, 0.32893287329, -0.49580632172],
7053  [ 0.89625815953, 0.00000000000, -0.44353276257],
7054  [-0.32893287329, -0.32893287329, 0.64365057591],
7055  [-0.32893287329, 0.32893287329, 0.64365057591],
7056  [ 0.65786574658, -0.32893287329, 0.07392212710],
7057  [ 0.65786574658, 0.32893287329, 0.07392212710],
7058  [ 0.32893287329, -0.32893287329, 0.64365057591],
7059  [ 0.32893287329, 0.32893287329, 0.64365057591]
7060  ],
7061  [
7062  [1.00000000000, 179.99999999999, 116.32950349168],
7063  [0.67986585362, -134.99999999998, 136.82529826622],
7064  [0.67986585362, 134.99999999999, 136.82529826623],
7065  [0.73922165589, -153.43494882292, 84.26083252128],
7066  [0.73922165589, 153.43494882291, 84.26083252129],
7067  [0.67986585362, -45.00000000000, 136.82529826621],
7068  [0.67986585362, 45.00000000000, 136.82529826623],
7069  [1.00000000000, 0.00000000000, 116.32950349167],
7070  [0.79415347014, -135.00000000000, 35.85652010693],
7071  [0.79415347014, 134.99999999998, 35.85652010693],
7072  [0.73922165589, -26.56505117708, 84.26083252129],
7073  [0.73922165589, 26.56505117708, 84.26083252129],
7074  [0.79415347014, -44.99999999999, 35.85652010693],
7075  [0.79415347014, 44.99999999999, 35.85652010693]
7076  ],
7077  [
7078  [10,5,1,3,8,12],
7079  [11,13,9,4,2,6],
7080  [9,13,12,8],
7081  [4,9,8,3],
7082  [6,2,1,5],
7083  [13,11,10,12],
7084  [1,0,3],
7085  [0,4,3],
7086  [2,0,1],
7087  [4,0,2],
7088  [10,7,5],
7089  [7,6,5],
7090  [11,7,10],
7091  [6,7,11]
7092  ],
7093  [
7094  [0,1],
7095  [0,2],
7096  [0,3],
7097  [0,4],
7098  [1,2],
7099  [1,3],
7100  [1,5],
7101  [2,4],
7102  [2,6],
7103  [3,4],
7104  [3,8],
7105  [4,9],
7106  [5,6],
7107  [5,7],
7108  [5,10],
7109  [6,7],
7110  [6,11],
7111  [7,10],
7112  [7,11],
7113  [8,9],
7114  [8,12],
7115  [9,13],
7116  [10,11],
7117  [10,12],
7118  [11,13],
7119  [12,13]
7120  ]
7121  ],
7122  [
7123  "metabiaugmented_truncated_dodecahedron",
7124  "Metabiaugmented Truncated Dodecahedron",
7125  "J70",
7126  "johnson",
7127  "Polyhedron Database #114",
7128  [
7129  [-0.66818117088, 0.60033076150, 0.25439741143],
7130  [-0.66818117088, 0.43567601216, 0.52081439227],
7131  [-0.38805377963, 0.71947605740, 0.32803325390],
7132  [-0.38805377963, 0.55482130806, 0.59445023474],
7133  [-0.82477714317, 0.43567601216, 0.03886154634],
7134  [-0.82477714317, 0.16925903132, 0.46993327652],
7135  [-0.48483541301, 0.71947605740, 0.03017001414],
7136  [-0.48483541301, 0.28840432722, 0.72765872515],
7137  [-0.92155877655, 0.16925903132, 0.17207003676],
7138  [-0.13467617395, 0.71947605740, 0.51212286007],
7139  [-0.64143138531, 0.55482130806, -0.18536585095],
7140  [-0.64143138531, 0.02198734639, 0.67677760940],
7141  [-0.38805377963, 0.71947605740, -0.26769322561],
7142  [-0.79802735760, 0.28840432722, -0.23624696670],
7143  [-0.79802735760, -0.14266740295, 0.46124174432],
7144  [-0.38805377963, 0.02198734639, 0.86086721557],
7145  [ 0.17851577064, 0.71947605740, 0.51212286007],
7146  [-0.89480899098, 0.02198734639, -0.10303847628],
7147  [-0.89480899098, -0.14266740295, 0.16337850456],
7148  [-0.13467617395, 0.71947605740, -0.45178283178],
7149  [-0.79802735760, 0.02198734639, -0.40090171603],
7150  [-0.79802735760, -0.40908438379, 0.29658699498],
7151  [-0.13467617395, -0.14266740295, 0.94319459024],
7152  [ 0.43189337632, 0.71947605740, 0.32803325390],
7153  [ 0.43189337632, 0.55482130806, 0.59445023474],
7154  [ 0.17851577064, 0.71947605740, -0.45178283178],
7155  [ 0.17851577064, -0.14266740295, 0.94319459024],
7156  [ 0.52867500970, 0.71947605740, 0.03017001414],
7157  [ 0.52867500970, 0.28840432722, 0.72765872515],
7158  [ 0.02191979834, 0.55482130806, -0.66731869687],
7159  [ 0.43189337632, 0.71947605740, -0.26769322561],
7160  [-0.64143138531, -0.14266740295, -0.61643758112],
7161  [ 0.43189337632, 0.02198734639, 0.86086721557],
7162  [-0.64143138531, -0.67550136463, 0.24570587923],
7163  [ 0.02191979834, -0.40908438379, 0.89231347449],
7164  [ 0.44842565299, 0.60033076150, -0.55686493317],
7165  [ 0.02191979834, 0.28840432723, -0.83197344621],
7166  [ 0.68527098200, 0.55482130806, -0.18536585095],
7167  [-0.38805377963, -0.14266740295, -0.80052718729],
7168  [ 0.68527098199, 0.02198734639, 0.67677760940],
7169  [-0.38805377963, -0.84015611396, 0.32803325390],
7170  [ 0.02191979834, -0.67550136463, 0.72765872515],
7171  [ 0.29182968069, 0.43567601216, -0.77240079826],
7172  [-0.48483541301, -0.40908438379, -0.66731869687],
7173  [-0.48483541301, -0.84015611396, 0.03017001414],
7174  [-0.13467617395, 0.02198734639, -0.88285456196],
7175  [-0.13467617395, -0.84015611396, 0.51212286007],
7176  [ 0.70180325867, 0.43567601216, -0.47453755850],
7177  [-0.38805377963, -0.67550136463, -0.53411020645],
7178  [-0.38805377963, -0.84015611396, -0.26769322562],
7179  [ 0.17851577064, 0.02198734639, -0.88285456196],
7180  [ 0.84186695429, 0.28840432722, -0.23624696670],
7181  [ 0.84186695429, -0.14266740295, 0.46124174432],
7182  [ 0.17851577064, -0.84015611396, 0.51212286007],
7183  [ 0.44842565299, 0.16925903132, -0.82328191401],
7184  [ 0.70180325867, 0.16925903132, -0.63919230784],
7185  [ 0.93864858767, 0.02198734639, -0.10303847628],
7186  [ 0.93864858767, -0.14266740295, 0.16337850456],
7187  [-0.13467617395, -0.84015611396, -0.45178283178],
7188  [ 0.43189337632, -0.14266740295, -0.80052718729],
7189  [ 0.84186695429, 0.02198734639, -0.40090171603],
7190  [ 0.84186695429, -0.40908438379, 0.29658699498],
7191  [ 0.43189337632, -0.84015611396, 0.32803325390],
7192  [ 0.68527098199, -0.14266740295, -0.61643758112],
7193  [ 0.68527098199, -0.67550136463, 0.24570587923],
7194  [ 0.17851577064, -0.84015611396, -0.45178283178],
7195  [ 0.52867500970, -0.40908438379, -0.66731869687],
7196  [ 0.52867500970, -0.84015611396, 0.03017001414],
7197  [ 0.43189337632, -0.67550136463, -0.53411020645],
7198  [ 0.43189337632, -0.84015611396, -0.26769322562]
7199  ],
7200  [
7201  [0.93358510231, 138.06173000477, 74.18720315277],
7202  [0.95264227068, 146.89433256115, 56.85873829753],
7203  [0.88081629681, 118.34047371993, 68.13508204868],
7204  [0.90099028926, 124.96975685783, 48.71733832669],
7205  [0.93358510231, 152.15542564733, 87.61430842656],
7206  [0.96423194303, 168.40289318130, 60.83243712699],
7207  [0.86811370490, 123.97496206683, 88.00836845451],
7208  [0.92072235444, 149.25370372981, 37.78524082960],
7209  [0.95264227068, 169.59270165933, 79.59389312691],
7210  [0.89333828576, 100.60229971210, 55.02152324377],
7211  [0.86811370490, 139.14105502438, 102.32913315247],
7212  [0.93270874235, 178.03675170248, 43.48084621557],
7213  [0.86016928340, 118.34047371990, 108.13216183987],
7214  [0.88081629681, 160.13031954858, 105.55799709081],
7215  [0.93270874235, -169.86402107737, 60.36199416643],
7216  [0.94454303350, 176.75705620072, 24.29887970046],
7217  [0.90099028926, 76.06522828282, 55.36127348735],
7218  [0.90099028926, 178.59240496263, 96.56679074598],
7219  [0.92072235444, -170.94106941432, 79.77896790972],
7220  [0.86016928340, 100.60229971208, 121.68342424626],
7221  [0.89333828576, 178.42177901696, 116.66467330405],
7222  [0.94454303350, -152.85943813919, 71.69951390841],
7223  [0.96338346195, -133.34956679214, 11.75047499343],
7224  [0.90099028926, 59.02408059676, 68.64897626500],
7225  [0.92072235444, 52.10149359181, 49.78672561873],
7226  [0.86811370490, 76.06522828284, 121.36035872664],
7227  [0.97048333489, -38.63137793734, 13.61941034978],
7228  [0.89333828576, 53.69134721478, 88.06462649888],
7229  [0.94454303350, 28.61347820378, 39.61181698889],
7230  [0.86811370490, 87.73754344443, 140.23726129595],
7231  [0.88081629681, 59.02408059678, 107.69289557544],
7232  [0.90099028926, -167.46037423764, 133.17098241028],
7233  [0.96338346195, 2.91436628467, 26.67245590466],
7234  [0.96338346195, -133.51804832378, 75.22376410744],
7235  [0.98186243811, -86.93287717127, 24.66039123927],
7236  [0.93358510231, 53.24158127963, 126.61821699332],
7237  [0.88081629681, 85.65366439861, 160.82995871383],
7238  [0.90099028926, 38.99494026567, 101.87256851131],
7239  [0.90099028926, -159.81412256490, 152.68498654371],
7240  [0.96338346195, 1.83774031102, 45.37201414303],
7241  [0.98186243811, -114.79140976514, 70.48261384860],
7242  [0.99311116773, -88.14142286061, 42.88625198659],
7243  [0.93358510231, 56.18456363744, 145.82738215450],
7244  [0.92072235444, -139.84368945518, 136.45032811212],
7245  [0.97048333489, -119.98828863954, 88.21852372856],
7246  [0.89333828576, 170.72764701318, 171.21355734678],
7247  [0.99311116773, -99.10697923282, 58.95739897915],
7248  [0.95264227068, 31.83180698459, 119.87621057883],
7249  [0.94454303350, -119.87598020527, 124.43489540067],
7250  [0.96338346195, -114.79140976514, 106.13298839791],
7251  [0.90099028926, 7.02161557054, 168.48467373611],
7252  [0.92072235444, 18.91028488619, 104.86774444881],
7253  [0.97048333489, -9.61827819504, 61.62306013888],
7254  [1.00000000000, -78.00423628262, 59.19466387860],
7255  [0.95264227068, 20.67910013500, 149.79249260302],
7256  [0.96423194303, 13.55949803502, 131.52165445315],
7257  [0.94454303350, 1.34187791515, 96.26275556695],
7258  [0.96338346195, -8.64237406268, 80.23612074132],
7259  [0.96338346195, -99.10697923282, 117.96644026808],
7260  [0.92072235444, -18.27994669415, 150.39543571783],
7261  [0.93270874235, 1.49607467299, 115.45646702172],
7262  [0.98186243811, -25.91628579880, 72.41828196253],
7263  [1.00000000000, -62.79396984972, 70.85055459392],
7264  [0.93270874235, -11.76048501692, 131.36939717911],
7265  [0.99311116773, -44.58865402664, 75.67568330577],
7266  [0.97048333489, -78.00423628260, 117.74410953458],
7267  [0.94454303350, -37.73241017492, 134.95077255466],
7268  [0.99311116773, -57.81951398921, 88.25912693878],
7269  [0.96338346195, -57.40648803178, 123.67014249249],
7270  [0.98186243811, -62.79396984970, 105.82131670293]
7271  ],
7272  [
7273  [46,53,62,67,69,65,58,49,44,40],
7274  [53,46,41],
7275  [15,22,34,41,46,40,33,21,14,11],
7276  [34,22,26],
7277  [40,44,33],
7278  [17,18,21,33,44,49,48,43,31,20],
7279  [21,18,14],
7280  [49,58,48],
7281  [45,38,43,48,58,65,68,66,59,50],
7282  [43,38,31],
7283  [65,69,68],
7284  [60,63,66,68,69,67,64,61,57,56],
7285  [66,63,59],
7286  [67,62,64],
7287  [39,52,61,64,62,53,41,34,26,32],
7288  [61,52,57],
7289  [9,2,6,12,19,25,30,27,23,16],
7290  [2,9,3],
7291  [22,15,7,3,9,16,24,28,32,26],
7292  [7,15,11],
7293  [16,23,24],
7294  [52,39,28,24,23,27,37,51,56,57],
7295  [28,39,32],
7296  [27,30,37],
7297  [56,51,60],
7298  [25,19,29],
7299  [38,45,36,29,19,12,10,13,20,31],
7300  [36,45,50],
7301  [12,6,10],
7302  [20,13,17],
7303  [1,5,8,4,0],
7304  [10,6,0,4],
7305  [13,10,4],
7306  [17,13,4,8],
7307  [18,17,8],
7308  [14,18,8,5],
7309  [11,14,5],
7310  [7,11,5,1],
7311  [7,1,3],
7312  [2,3,1,0],
7313  [6,2,0],
7314  [42,54,55,47,35],
7315  [37,30,35,47],
7316  [51,37,47],
7317  [60,51,47,55],
7318  [63,60,55],
7319  [59,63,55,54],
7320  [50,59,54],
7321  [36,50,54,42],
7322  [36,42,29],
7323  [25,29,42,35],
7324  [30,25,35]
7325  ],
7326  [
7327  [0,1],
7328  [0,2],
7329  [0,4],
7330  [0,6],
7331  [1,3],
7332  [1,5],
7333  [1,7],
7334  [2,3],
7335  [2,6],
7336  [2,9],
7337  [3,7],
7338  [3,9],
7339  [4,8],
7340  [4,10],
7341  [4,13],
7342  [5,8],
7343  [5,11],
7344  [5,14],
7345  [6,10],
7346  [6,12],
7347  [7,11],
7348  [7,15],
7349  [8,17],
7350  [8,18],
7351  [9,16],
7352  [10,12],
7353  [10,13],
7354  [11,14],
7355  [11,15],
7356  [12,19],
7357  [13,17],
7358  [13,20],
7359  [14,18],
7360  [14,21],
7361  [15,22],
7362  [16,23],
7363  [16,24],
7364  [17,18],
7365  [17,20],
7366  [18,21],
7367  [19,25],
7368  [19,29],
7369  [20,31],
7370  [21,33],
7371  [22,26],
7372  [22,34],
7373  [23,24],
7374  [23,27],
7375  [24,28],
7376  [25,29],
7377  [25,30],
7378  [25,35],
7379  [26,32],
7380  [26,34],
7381  [27,30],
7382  [27,37],
7383  [28,32],
7384  [28,39],
7385  [29,36],
7386  [29,42],
7387  [30,35],
7388  [30,37],
7389  [31,38],
7390  [31,43],
7391  [32,39],
7392  [33,40],
7393  [33,44],
7394  [34,41],
7395  [35,42],
7396  [35,47],
7397  [36,42],
7398  [36,45],
7399  [36,50],
7400  [37,47],
7401  [37,51],
7402  [38,43],
7403  [38,45],
7404  [39,52],
7405  [40,44],
7406  [40,46],
7407  [41,46],
7408  [41,53],
7409  [42,54],
7410  [43,48],
7411  [44,49],
7412  [45,50],
7413  [46,53],
7414  [47,51],
7415  [47,55],
7416  [48,49],
7417  [48,58],
7418  [49,58],
7419  [50,54],
7420  [50,59],
7421  [51,56],
7422  [51,60],
7423  [52,57],
7424  [52,61],
7425  [53,62],
7426  [54,55],
7427  [54,59],
7428  [55,60],
7429  [55,63],
7430  [56,57],
7431  [56,60],
7432  [57,61],
7433  [58,65],
7434  [59,63],
7435  [59,66],
7436  [60,63],
7437  [61,64],
7438  [62,64],
7439  [62,67],
7440  [63,66],
7441  [64,67],
7442  [65,68],
7443  [65,69],
7444  [66,68],
7445  [67,69],
7446  [68,69]
7447  ]
7448  ],
7449  [
7450  "metabidiminished_icosahedron",
7451  "Metabidiminished Icosahedron",
7452  "J62",
7453  "johnson",
7454  "Polyhedron Database #106",
7455  [
7456  [ 0.04819488343, 0.35929506613, 0.75360576470],
7457  [ 0.53014371769, -0.46064526478, 0.59701109587],
7458  [ 0.82800447811, 0.35929506613, 0.18704093042],
7459  [-0.43375395084, -0.46064526478, 0.59701109587],
7460  [ 0.04819488343, 0.86604605937, -0.06633456621],
7461  [ 0.82800447811, -0.46064526478, -0.31971006283],
7462  [-0.73161471125, 0.35929506613, 0.18704093042],
7463  [-0.73161471125, -0.46064526478, -0.31971006283],
7464  [-0.43375395084, 0.35929506613, -0.72968022828],
7465  [ 0.04819488343, -0.46064526478, -0.88627489711]
7466  ],
7467  [
7468  [0.83626391762, 82.36010002814, 25.68932334532],
7469  [0.92177473927, -40.98758509987, 49.63341231685],
7470  [0.92177473927, 23.45741502350, 78.29259060583],
7471  [0.86991884588, -133.27784422807, 46.66335588017],
7472  [0.86991884588, 86.81481352879, 94.37326267714],
7473  [1.00000000000, -29.08858119332, 108.64539162511],
7474  [0.83626391762, 153.84440324035, 77.07575553197],
7475  [0.92177473927, -147.80432410417, 110.29427021590],
7476  [0.92177473927, 140.36374154976, 142.33562661115],
7477  [1.00000000000, -84.02717517055, 152.40882117487]
7478  ],
7479  [
7480  [5,9,7,3,1],
7481  [4,8,9,5,2],
7482  [0,3,6],
7483  [1,3,0],
7484  [2,5,1],
7485  [0,2,1],
7486  [0,4,2],
7487  [6,8,4],
7488  [0,6,4],
7489  [8,7,9],
7490  [8,6,7],
7491  [6,3,7]
7492  ],
7493  [
7494  [0,1],
7495  [0,2],
7496  [0,3],
7497  [0,4],
7498  [0,6],
7499  [1,2],
7500  [1,3],
7501  [1,5],
7502  [2,4],
7503  [2,5],
7504  [3,6],
7505  [3,7],
7506  [4,6],
7507  [4,8],
7508  [5,9],
7509  [6,7],
7510  [6,8],
7511  [7,8],
7512  [7,9],
7513  [8,9]
7514  ]
7515  ],
7516  [
7517  "metabidiminished_rhombicosidodecahedron",
7518  "Metabidiminished Rhombicosidodecahedron",
7519  "J81",
7520  "johnson",
7521  "Polyhedron Database #125",
7522  [
7523  [-0.79612575929, -0.32884175635, -0.08997483629],
7524  [-0.79612575929, 0.01981001981, -0.30545348419],
7525  [-0.79612575929, -0.11336310845, 0.25867693987],
7526  [-0.79612575929, 0.23528866771, 0.04319829197],
7527  [-0.66947058787, -0.32884175635, -0.47977937227],
7528  [-0.59119338708, -0.67749353251, -0.02338827216],
7529  [-0.66947058787, 0.23528866771, 0.43300282795],
7530  [-0.59119338708, -0.32884175635, 0.54074215190],
7531  [-0.59119338708, 0.23528866771, -0.58751869622],
7532  [-0.46453821566, -0.67749353251, -0.41319280814],
7533  [-0.46453821566, -0.67749353251, 0.36641626382],
7534  [-0.59119338708, 0.58394044387, -0.02338827216],
7535  [-0.46453821566, -0.11336310844, -0.76184458430],
7536  [-0.46453821566, 0.01981001981, 0.71506803998],
7537  [-0.46453821566, 0.58394044387, -0.41319280814],
7538  [-0.46453821566, 0.58394044387, 0.36641626382],
7539  [-0.25960584345, -0.32884175635, 0.78165460411],
7540  [-0.25960584345, 0.23528866771, -0.82843114843],
7541  [-0.13295067202, -0.67749353251, -0.65410526035],
7542  [-0.13295067202, -0.32884175635, -0.86958390825],
7543  [-0.13295067202, -0.67749353251, 0.60732871603],
7544  [-0.25960584345, 0.79941909177, 0.08435105179],
7545  [-0.13295067202, 0.58394044387, -0.65410526035],
7546  [-0.13295067202, 0.23528866771, 0.82280736393],
7547  [-0.13295067202, 0.79941909177, -0.30545348419],
7548  [-0.13295067202, 0.58394044387, 0.60732871603],
7549  [ 0.07198170019, 0.01981001981, -0.93617047238],
7550  [ 0.07198170019, -0.11336310845, 0.88939392806],
7551  [ 0.27691407240, -0.67749353251, -0.65410526035],
7552  [ 0.07198170019, 0.79941909177, 0.32526350400],
7553  [ 0.27691407240, -0.32884175635, -0.86958390825],
7554  [ 0.27691407240, -0.67749353251, 0.60732871603],
7555  [ 0.27691407240, 0.58394044387, -0.65410526035],
7556  [ 0.27691407240, 0.23528866771, 0.82280736393],
7557  [ 0.27691407240, 0.79941909177, -0.30545348419],
7558  [ 0.27691407240, 0.58394044387, 0.60732871603],
7559  [ 0.40356924382, -0.32884175635, 0.78165460411],
7560  [ 0.40356924382, 0.23528866771, -0.82843114843],
7561  [ 0.60850161603, -0.67749353251, -0.41319280814],
7562  [ 0.40356924382, 0.79941909177, 0.08435105179],
7563  [ 0.60850161603, -0.67749353251, 0.36641626382],
7564  [ 0.60850161603, -0.11336310844, -0.76184458430],
7565  [ 0.60850161603, 0.01981001981, 0.71506803998],
7566  [ 0.73515678745, -0.67749353251, -0.02338827216],
7567  [ 0.60850161603, 0.58394044387, 0.36641626382],
7568  [ 0.73515678745, -0.32884175635, 0.54074215190],
7569  [ 0.81343398824, -0.32884175635, -0.47977937227],
7570  [ 0.81343398824, 0.23528866771, 0.43300282795],
7571  [ 0.94008915966, -0.32884175635, -0.08997483629],
7572  [ 0.94008915966, -0.11336310845, 0.25867693987]
7573  ],
7574  [
7575  [0.86605346053, -157.55680376220, 95.96325455844],
7576  [0.85294225625, 178.57460163322, 110.98462555635],
7577  [0.84473734272, -171.89593457093, 72.16831812031],
7578  [0.83129000607, 163.53537227364, 87.02126201391],
7579  [0.88685738132, -153.83988066564, 122.75093479886],
7580  [0.89947435694, -131.10855239305, 91.48998170361],
7581  [0.83129000607, 160.63572888912, 58.60866178301],
7582  [0.86605346053, -150.91570823296, 51.36366929030],
7583  [0.86605346053, 158.29797152461, 132.71766157967],
7584  [0.91952245057, -124.43733388196, 116.70236456370],
7585  [0.89947435694, -124.43733388196, 65.96045265335],
7586  [0.83129000607, 135.35362589967, 91.61222452964],
7587  [0.89947435694, -166.28592578121, 147.88563501278],
7588  [0.85294225625, 177.55812719076, 33.03322781967],
7589  [0.85294225625, 128.50306555185, 118.97528718576],
7590  [0.83129000607, 128.50306555186, 63.84632162630],
7591  [0.88685738132, -128.28951171499, 28.19123079338],
7592  [0.89947435694, 137.81302751519, 157.07521199725],
7593  [0.95106627497, -101.10258355924, 133.45304725994],
7594  [0.93914267042, -112.01347609134, 157.80958253687],
7595  [0.91952245057, -101.10258355926, 48.66329961921],
7596  [0.84473734272, 107.99084811858, 84.26919253436],
7597  [0.88685738132, 102.82637014164, 137.52347354158],
7598  [0.86605346053, 119.46876936925, 18.18288150233],
7599  [0.86605346053, 99.44238786020, 110.65229588036],
7600  [0.85294225625, 102.82637014166, 44.59888890327],
7601  [0.93914267042, 15.38738952742, 175.44041496423],
7602  [0.89947435694, -57.58584792519, 8.58596617928],
7603  [0.98159695481, -67.76853747707, 131.78739646548],
7604  [0.86605346053, 84.85481947591, 67.94046716717],
7605  [0.97004869862, -49.89963289595, 153.69312390162],
7606  [0.95106627497, -67.76853747709, 50.31423441000],
7607  [0.91952245057, 64.62892993779, 135.34512433192],
7608  [0.89947435694, 40.35392897538, 23.82767074809],
7609  [0.89947435694, 70.89421531420, 109.85196349557],
7610  [0.88685738132, 64.62892993779, 46.77934117876],
7611  [0.93914267042, -39.17430281626, 33.66358843716],
7612  [0.95106627497, 30.24301168599, 150.58148371073],
7613  [1.00000000000, -48.07089785432, 114.40556045556],
7614  [0.89947435694, 63.21407138988, 84.61900031571],
7615  [0.98159695481, -48.07089785433, 68.08159189904],
7616  [0.98159695481, -10.55315342487, 140.90738566729],
7617  [0.93914267042, 1.86462905420, 40.41177254626],
7618  [1.00000000000, -42.66252981733, 91.34017148523],
7619  [0.91952245057, 43.82002439112, 66.51647291459],
7620  [0.97004869862, -24.09936572676, 56.12118676304],
7621  [1.00000000000, -22.01169124502, 118.67099346240],
7622  [0.95106627497, 16.13270043692, 62.91695564466],
7623  [1.00000000000, -19.27975923521, 95.16215944298],
7624  [0.98159695481, -6.87596095407, 74.72057657713]
7625  ],
7626  [
7627  [35,29,39,44],
7628  [25,29,35],
7629  [25,15,21,29],
7630  [29,21,24,34,39],
7631  [15,11,21],
7632  [6,3,11,15],
7633  [21,11,14,24],
7634  [14,22,24],
7635  [14,8,17,22],
7636  [11,3,1,8,14],
7637  [8,12,17],
7638  [1,4,12,8],
7639  [33,23,25,35],
7640  [27,23,33],
7641  [27,16,13,23],
7642  [23,13,6,15,25],
7643  [16,7,13],
7644  [20,10,7,16],
7645  [13,7,2,6],
7646  [2,3,6],
7647  [2,0,1,3],
7648  [7,10,5,0,2],
7649  [0,4,1],
7650  [5,9,4,0],
7651  [42,36,27,33],
7652  [45,36,42],
7653  [45,40,31,36],
7654  [36,31,20,16,27],
7655  [28,18,9,5,10,20,31,40,43,38],
7656  [47,49,45,42],
7657  [44,39,34,32,37,41,46,48,49,47],
7658  [49,48,43,40,45],
7659  [48,46,38,43],
7660  [46,41,30,28,38],
7661  [30,19,18,28],
7662  [24,22,32,34],
7663  [37,26,30,41],
7664  [32,22,17,26,37],
7665  [26,19,30],
7666  [17,12,19,26],
7667  [47,42,33,35,44],
7668  [12,4,9,18,19]
7669  ],
7670  [
7671  [0,1],
7672  [0,2],
7673  [0,4],
7674  [0,5],
7675  [1,3],
7676  [1,4],
7677  [1,8],
7678  [2,3],
7679  [2,6],
7680  [2,7],
7681  [3,6],
7682  [3,11],
7683  [4,9],
7684  [4,12],
7685  [5,9],
7686  [5,10],
7687  [6,13],
7688  [6,15],
7689  [7,10],
7690  [7,13],
7691  [7,16],
7692  [8,12],
7693  [8,14],
7694  [8,17],
7695  [9,18],
7696  [10,20],
7697  [11,14],
7698  [11,15],
7699  [11,21],
7700  [12,17],
7701  [12,19],
7702  [13,16],
7703  [13,23],
7704  [14,22],
7705  [14,24],
7706  [15,21],
7707  [15,25],
7708  [16,20],
7709  [16,27],
7710  [17,22],
7711  [17,26],
7712  [18,19],
7713  [18,28],
7714  [19,26],
7715  [19,30],
7716  [20,31],
7717  [21,24],
7718  [21,29],
7719  [22,24],
7720  [22,32],
7721  [23,25],
7722  [23,27],
7723  [23,33],
7724  [24,34],
7725  [25,29],
7726  [25,35],
7727  [26,30],
7728  [26,37],
7729  [27,33],
7730  [27,36],
7731  [28,30],
7732  [28,38],
7733  [29,35],
7734  [29,39],
7735  [30,41],
7736  [31,36],
7737  [31,40],
7738  [32,34],
7739  [32,37],
7740  [33,35],
7741  [33,42],
7742  [34,39],
7743  [35,44],
7744  [36,42],
7745  [36,45],
7746  [37,41],
7747  [38,43],
7748  [38,46],
7749  [39,44],
7750  [40,43],
7751  [40,45],
7752  [41,46],
7753  [42,45],
7754  [42,47],
7755  [43,48],
7756  [44,47],
7757  [45,49],
7758  [46,48],
7759  [47,49],
7760  [48,49]
7761  ]
7762  ],
7763  [
7764  "metabigyrate_rhombicosidodecahedron",
7765  "Metabigyrate Rhombicosidodecahedron",
7766  "J74",
7767  "johnson",
7768  "Polyhedron Database #118",
7769  [
7770  [-0.58622753083, -0.68915166553, 0.42591916311],
7771  [-0.72461706486, -0.68915163540, -0.00000001599],
7772  [-0.22391906247, -0.92459403303, 0.30819798579],
7773  [-0.36230859650, -0.92459400290, -0.11772119331],
7774  [-0.22391903382, -0.68915171427, 0.68915169005],
7775  [-0.58622753760, -0.68915163540, -0.42591919728],
7776  [-0.72461701850, -0.30819796126, 0.61639602565],
7777  [-0.94853598825, -0.30819791252, -0.07275568259],
7778  [ 0.22391886609, -0.92459408177, 0.30819798223],
7779  [-0.00000010366, -0.92459403303, -0.38095372601],
7780  [-0.94853595960, -0.07275559376, 0.30819802167],
7781  [-0.36230852149, -0.30819801001, 0.87962855259],
7782  [ 0.22391889474, -0.68915176302, 0.68915168650],
7783  [-0.81014646098, -0.30819791252, -0.49867486389],
7784  [-0.22391904476, -0.68915166553, -0.68915172998],
7785  [ 0.36230839335, -0.92459408177, -0.11772119906],
7786  [-0.58622744488, 0.07275571287, 0.80687288599],
7787  [-0.98678586534, 0.13783044817, -0.08518382070],
7788  [ 0.58622738757, -0.68915179314, 0.42591915380],
7789  [ 0.22391888379, -0.68915171427, -0.68915173354],
7790  [-0.81014638597, 0.30819808037, 0.49867488201],
7791  [-0.00000000000, -0.07275572138, 0.99734972415],
7792  [ 0.36230846836, -0.30819808888, 0.87962854684],
7793  [-0.84839633807, 0.13783044817, -0.51110300199],
7794  [-0.58622747353, -0.07275559376, -0.80687287142],
7795  [-0.22391900516, -0.30819796126, -0.92459404874],
7796  [ 0.72461691484, -0.68915179314, -0.00000002750],
7797  [ 0.58622738081, -0.68915176302, -0.42591920659],
7798  [-0.22391892339, 0.30819800150, 0.92459405755],
7799  [-0.84839629171, 0.51878412230, 0.10529303964],
7800  [ 0.72461696120, -0.30819811901, 0.61639601414],
7801  [ 0.22391892339, -0.30819801001, -0.92459405229],
7802  [-0.58622738081, 0.68915175451, 0.42591921185],
7803  [ 0.22391900516, 0.30819795276, 0.92459405400],
7804  [ 0.58622747353, 0.07275558526, 0.80687287668],
7805  [-0.62447733291, 0.51878412230, -0.58385867215],
7806  [-0.36230846836, 0.30819811564, -0.87962861212],
7807  [ 0.00000000000, 0.07275573467, -0.99734976249],
7808  [ 0.94853592001, -0.30819811901, -0.07275569766],
7809  [ 0.81014638597, -0.30819808888, -0.49867487675],
7810  [-0.22391888379, 0.68915170576, 0.68915173880],
7811  [-0.62447730425, 0.75422644106, -0.20290496789],
7812  [ 0.94853594866, -0.07275580025, 0.30819800661],
7813  [ 0.58622744488, -0.07275572138, -0.80687288073],
7814  [-0.36230839335, 0.92459407326, 0.11772120432],
7815  [ 0.22391904476, 0.68915165702, 0.68915173524],
7816  [ 0.81014646098, 0.30819790401, 0.49867486915],
7817  [-0.22391889474, 0.68915177631, -0.68915172484],
7818  [ 0.36230852149, 0.30819800150, -0.87962854733],
7819  [ 0.98678589399, 0.13783023336, -0.08518383637],
7820  [ 0.84839635996, 0.13783026348, -0.51110301547],
7821  [ 0.00000010366, 0.92459407326, 0.38095373126],
7822  [-0.22391886609, 0.92459407326, -0.30819797698],
7823  [ 0.58622753760, 0.68915162689, 0.42591920254],
7824  [ 0.22391903382, 0.68915170576, -0.68915168479],
7825  [ 0.84839640632, 0.51878393762, 0.10529302617],
7826  [ 0.62447743657, 0.51878398636, -0.58385868207],
7827  [ 0.36230859650, 0.92459407326, 0.11772119857],
7828  [ 0.22391906247, 0.92459407326, -0.30819798053],
7829  [ 0.62447746522, 0.75422630512, -0.20290497781]
7830  ],
7831  [
7832  [0.99999993475, -130.38618283979, 64.79114092254],
7833  [0.99999993363, -136.43700546014, 90.00000091615],
7834  [0.99999993544, -103.61382831907, 72.04933254486],
7835  [0.99999993432, -111.39807518933, 96.76060479242],
7836  [0.99999993544, -108.00000512538, 46.43700123757],
7837  [0.99999993251, -130.38618440217, 115.20886130219],
7838  [0.99999993363, -156.95872231601, 51.94656884902],
7839  [0.99999993182, -162.00000615475, 94.17228028590],
7840  [0.99999993544, -76.38618386711, 72.04933275902],
7841  [0.99999993363, -90.00000642377, 112.39277272314],
7842  [0.99999993182, -175.61382775587, 72.04933031666],
7843  [0.99999993432, -139.61382488750, 28.40240467772],
7844  [0.99999993544, -72.00000652430, 46.43700151874],
7845  [0.99999993070, -159.17206080316, 119.91237064150],
7846  [0.99999993182, -108.00000713941, 133.56300211723],
7847  [0.99999993432, -68.60193738376, 96.76060512438],
7848  [0.99999993251, 172.92529174846, 36.20847523865],
7849  [0.99999992989, 172.04858909635, 94.88659570141],
7850  [0.99999993475, -49.61382930662, 64.79114151209],
7851  [0.99999993182, -72.00000615624, 133.56300239840],
7852  [0.99999993070, 159.17204866998, 60.08762816051],
7853  [0.99999993363, -89.99999999999, 4.17228250656],
7854  [0.99999993432, -40.38618649494, 28.40240537076],
7855  [0.99999992877, 170.77234801598, 120.73733054171],
7856  [0.99999992889, -172.92530355529, 143.79152363199],
7857  [0.99999992958, -126.00000964425, 157.60723020326],
7858  [0.99999993363, -43.56300701251, 90.00000157545],
7859  [0.99999993251, -49.61382839675, 115.20886189174],
7860  [0.99999993182, 125.99999613716, 22.39276878253],
7861  [0.99999992877, 148.55471598604, 83.95594948326],
7862  [0.99999993363, -23.04128987788, 51.94656968630],
7863  [0.99999992958, -54.00000461496, 157.60723073807],
7864  [0.99999992889, 130.38617195233, 64.79113767754],
7865  [0.99999993182, 53.99998960361, 22.39276931734],
7866  [0.99999993251, 7.07469562579, 36.20847614159],
7867  [0.99999992696, 140.28191545237, 125.72240430111],
7868  [1.00000000000, 139.61381104942, 151.59759553449],
7869  [0.99999997284, 89.99999999999, 175.82771689372],
7870  [0.99999993182, -18.00000633842, 94.17228115124],
7871  [0.99999993070, -20.82795185563, 119.91237149191],
7872  [0.99999992958, 107.99999405161, 46.43699706381],
7873  [0.99999992696, 129.62375657846, 101.70688614750],
7874  [0.99999993182, -4.38618469425, 72.04933122387],
7875  [0.99999992889, -7.07470907043, 143.79152453494],
7876  [0.99999992708, 111.39806279532, 83.23939452301],
7877  [0.99999992958, 71.99999265270, 46.43699734497],
7878  [0.99999993070, 20.82793867121, 60.08762901093],
7879  [0.99999997103, 107.99999315092, 133.56299957391],
7880  [0.99999992708, 40.38617433191, 151.59759545680],
7881  [0.99999992989, 7.95139844173, 94.88659660254],
7882  [0.99999992877, 9.22763959809, 120.73733143981],
7883  [0.99999997284, 89.99999357622, 67.60722787656],
7884  [0.99999992596, 103.61381625349, 107.95066710038],
7885  [0.99999992889, 49.61381524873, 64.79113826708],
7886  [0.99999992596, 71.99999466673, 133.56299886360],
7887  [0.99999992877, 31.44527149101, 83.95595025951],
7888  [0.99999992696, 39.71807249309, 125.72240500098],
7889  [1.00000000000, 68.60192629184, 83.23939535028],
7890  [0.99999997103, 76.38617225133, 107.95066647798],
7891  [0.99999992696, 50.37623109408, 101.70688672776]
7892  ],
7893  [
7894  [31,25,14,19],
7895  [37,25,31],
7896  [37,36,24,25],
7897  [25,24,13,5,14],
7898  [24,23,13],
7899  [36,35,23,24],
7900  [13,23,17,7],
7901  [17,10,7],
7902  [17,29,20,10],
7903  [23,35,41,29,17],
7904  [29,32,20],
7905  [41,44,32,29],
7906  [43,48,37,31],
7907  [56,54,48],
7908  [56,59,58,54],
7909  [48,54,47,36,37],
7910  [59,57,58],
7911  [55,53,57,59],
7912  [54,58,52,47],
7913  [47,35,36],
7914  [47,52,41,35],
7915  [58,57,51,44,52],
7916  [52,44,41],
7917  [51,40,32,44],
7918  [43,50,56,48],
7919  [39,50,43],
7920  [39,38,49,50],
7921  [50,49,55,59,56],
7922  [38,42,49],
7923  [30,34,46,42],
7924  [49,42,46,55],
7925  [46,53,55],
7926  [53,45,51,57],
7927  [46,34,33,45,53],
7928  [45,40,51],
7929  [33,28,40,45],
7930  [27,26,38,39],
7931  [15,26,27],
7932  [15,8,18,26],
7933  [26,18,30,42,38],
7934  [8,12,18],
7935  [2,4,12,8],
7936  [18,12,22,30],
7937  [22,34,30],
7938  [22,21,33,34],
7939  [12,4,11,21,22],
7940  [21,28,33],
7941  [11,16,28,21],
7942  [19,9,15,27],
7943  [14,9,19],
7944  [14,5,3,9],
7945  [9,3,2,8,15],
7946  [5,1,3],
7947  [13,7,1,5],
7948  [3,1,0,2],
7949  [0,4,2],
7950  [0,6,11,4],
7951  [1,7,10,6,0],
7952  [6,16,11],
7953  [10,20,16,6],
7954  [27,39,43,31,19],
7955  [20,32,40,28,16]
7956  ],
7957  [
7958  [0,1],
7959  [0,2],
7960  [0,4],
7961  [0,6],
7962  [1,3],
7963  [1,5],
7964  [1,7],
7965  [2,3],
7966  [2,4],
7967  [2,8],
7968  [3,5],
7969  [3,9],
7970  [4,11],
7971  [4,12],
7972  [5,13],
7973  [5,14],
7974  [6,10],
7975  [6,11],
7976  [6,16],
7977  [7,10],
7978  [7,13],
7979  [7,17],
7980  [8,12],
7981  [8,15],
7982  [8,18],
7983  [9,14],
7984  [9,15],
7985  [9,19],
7986  [10,17],
7987  [10,20],
7988  [11,16],
7989  [11,21],
7990  [12,18],
7991  [12,22],
7992  [13,23],
7993  [13,24],
7994  [14,19],
7995  [14,25],
7996  [15,26],
7997  [15,27],
7998  [16,20],
7999  [16,28],
8000  [17,23],
8001  [17,29],
8002  [18,26],
8003  [18,30],
8004  [19,27],
8005  [19,31],
8006  [20,29],
8007  [20,32],
8008  [21,22],
8009  [21,28],
8010  [21,33],
8011  [22,30],
8012  [22,34],
8013  [23,24],
8014  [23,35],
8015  [24,25],
8016  [24,36],
8017  [25,31],
8018  [25,37],
8019  [26,27],
8020  [26,38],
8021  [27,39],
8022  [28,33],
8023  [28,40],
8024  [29,32],
8025  [29,41],
8026  [30,34],
8027  [30,42],
8028  [31,37],
8029  [31,43],
8030  [32,40],
8031  [32,44],
8032  [33,34],
8033  [33,45],
8034  [34,46],
8035  [35,36],
8036  [35,41],
8037  [35,47],
8038  [36,37],
8039  [36,47],
8040  [37,48],
8041  [38,39],
8042  [38,42],
8043  [38,49],
8044  [39,43],
8045  [39,50],
8046  [40,45],
8047  [40,51],
8048  [41,44],
8049  [41,52],
8050  [42,46],
8051  [42,49],
8052  [43,48],
8053  [43,50],
8054  [44,51],
8055  [44,52],
8056  [45,51],
8057  [45,53],
8058  [46,53],
8059  [46,55],
8060  [47,52],
8061  [47,54],
8062  [48,54],
8063  [48,56],
8064  [49,50],
8065  [49,55],
8066  [50,56],
8067  [51,57],
8068  [52,58],
8069  [53,55],
8070  [53,57],
8071  [54,56],
8072  [54,58],
8073  [55,59],
8074  [56,59],
8075  [57,58],
8076  [57,59],
8077  [58,59]
8078  ]
8079  ],
8080  [
8081  "metagyrate_diminished_rhombicosidodecahedron",
8082  "Metagyrate Diminished Rhombicosidodecahedron",
8083  "J78",
8084  "johnson",
8085  "Polyhedron Database #122",
8086  [
8087  [-0.55321297349, -0.01066203605, 0.76143233488],
8088  [-0.34190442063, -0.37016161865, 0.83009064569],
8089  [-0.21130855286, 0.21152092494, 0.87252381538],
8090  [ 0.00000000000, -0.14797865766, 0.94118212618],
8091  [-0.68380884127, -0.37016161865, 0.58168254359],
8092  [ 0.21130855286, 0.21152092494, 0.87252381538],
8093  [-0.76452152635, 0.21152092494, 0.47059106309],
8094  [-0.21130855286, 0.57102050754, 0.65034085439],
8095  [-0.21130855286, -0.72966120124, 0.65034085439],
8096  [ 0.34190442064, -0.37016161865, 0.83009064569],
8097  [-0.89511739413, -0.14797865766, 0.29084127179],
8098  [-0.55321297349, 0.57102050754, 0.40193275229],
8099  [-0.55321297349, -0.72966120124, 0.40193275229],
8100  [ 0.21130855286, 0.57102050754, 0.65034085439],
8101  [ 0.21130855286, -0.72966120124, 0.65034085439],
8102  [ 0.55321297349, -0.01066203605, 0.76143233488],
8103  [-0.89511739413, 0.21152092494, 0.06865831081],
8104  [-0.00000000000, 0.79320346853, 0.35949958260],
8105  [ 0.68380884127, -0.37016161864, 0.58168254359],
8106  [-0.89511739413, -0.37016161865, -0.06865831081],
8107  [-0.68380884127, 0.57102050754, 0.00000000000],
8108  [-0.68380884127, -0.72966120124, 0.00000000000],
8109  [-0.34190442064, 0.79320346853, 0.11109148049],
8110  [ 0.55321297349, 0.57102050754, 0.40193275229],
8111  [ 0.55321297349, -0.72966120124, 0.40193275229],
8112  [ 0.76452152635, 0.21152092494, 0.47059106309],
8113  [-0.89511739413, -0.01066203605, -0.29084127179],
8114  [ 0.34190442063, 0.79320346853, 0.11109148049],
8115  [ 0.89511739413, -0.14797865766, 0.29084127179],
8116  [-0.76452152635, -0.37016161865, -0.47059106309],
8117  [-0.55321297349, 0.57102050754, -0.40193275229],
8118  [-0.55321297349, -0.72966120124, -0.40193275229],
8119  [-0.21130855286, 0.79320346853, -0.29084127179],
8120  [ 0.80061733644, 0.41024740662, 0.09936324084],
8121  [ 0.68380884127, -0.72966120124, -0.00000000000],
8122  [-0.68380884127, 0.21152092494, -0.58168254359],
8123  [ 0.21130855286, 0.79320346853, -0.29084127179],
8124  [ 0.58930878359, 0.63243036761, -0.19147803095],
8125  [ 0.89511739413, -0.37016161864, -0.06865831081],
8126  [ 0.93121320422, 0.05074782403, -0.08038655046],
8127  [-0.55321297349, -0.14797865766, -0.76143233488],
8128  [-0.21130855286, 0.57102050754, -0.65034085439],
8129  [-0.21130855286, -0.72966120124, -0.65034085439],
8130  [ 0.55321297349, -0.72966120124, -0.40193275229],
8131  [-0.34190442064, 0.21152092494, -0.83009064569],
8132  [ 0.21130855286, 0.57102050754, -0.65034085439],
8133  [ 0.21130855286, -0.72966120124, -0.65034085439],
8134  [ 0.76452152635, -0.37016161864, -0.47059106309],
8135  [ 0.58930878359, 0.41024740662, -0.55097761355],
8136  [-0.21130855286, -0.37016161865, -0.87252381538],
8137  [ 0.80061733644, 0.05074782403, -0.48231930274],
8138  [-0.00000000000, -0.01066203605, -0.94118212618],
8139  [ 0.21130855286, -0.37016161865, -0.87252381538],
8140  [ 0.34190442064, 0.21152092494, -0.83009064569],
8141  [ 0.55321297349, -0.14797865766, -0.76143233488]
8142  ],
8143  [
8144  [0.94124251586, -178.89587902821, 36.00505936902],
8145  [0.97106577369, -132.72750132952, 31.25966748279],
8146  [0.92232869119, 134.97122238703, 18.91492540415],
8147  [0.95274418275, -89.99999999984, 8.93526016571],
8148  [0.97106577369, -151.57228676917, 53.20064626834],
8149  [0.92232869119, 45.02877761293, 18.91492540418],
8150  [0.92232869119, 164.53477767263, 59.32147762344],
8151  [0.89087538490, 110.30720654253, 43.11343435831],
8152  [1.00000000000, -106.15091992084, 49.43269423512],
8153  [0.97106577369, -47.27249867034, 31.25966748282],
8154  [0.95274418275, -170.61290105826, 72.22577748954],
8155  [0.89087538490, 134.09252726873, 63.18147713219],
8156  [1.00000000000, -127.16859907789, 66.30094011689],
8157  [0.89087538490, 69.69279345748, 43.11343435833],
8158  [1.00000000000, -73.84908007906, 49.43269423513],
8159  [0.94124251586, -1.10412097171, 36.00505936905],
8160  [0.92232869119, 166.70459888667, 85.73094312146],
8161  [0.87086835536, 90.00000000002, 65.61878155780],
8162  [0.97106577369, -28.42771323074, 53.20064626837],
8163  [0.97106577369, -157.53323421364, 94.05442815562],
8164  [0.89087538490, 140.13613772631, 89.99999999998],
8165  [1.00000000000, -133.14200112373, 89.99999999998],
8166  [0.87086835536, 113.31809665427, 82.67115026512],
8167  [0.89087538490, 45.90747273131, 63.18147713221],
8168  [1.00000000000, -52.83140092202, 66.30094011691],
8169  [0.92232869119, 15.46522232741, 59.32147762347],
8170  [0.94124251586, -179.31756350389, 107.99880557642],
8171  [0.87086835536, 66.68190334577, 82.67115026514],
8172  [0.95274418275, -9.38709894166, 72.22577748957],
8173  [0.97106577369, -154.16493060773, 118.98711799515],
8174  [0.89087538490, 134.09252726874, 116.81852286778],
8175  [1.00000000000, -127.16859907790, 113.69905988308],
8176  [0.87086835536, 104.91709431404, 109.50973258053],
8177  [0.90507685181, 27.13122995115, 83.69711765841],
8178  [1.00000000000, -46.85799887620, 90.00000000001],
8179  [0.92232869119, 162.81172019543, 129.09937175184],
8180  [0.87086835536, 75.08290568603, 109.50973258055],
8181  [0.88539078865, 47.02142951607, 102.48968584521],
8182  [0.97106577369, -22.46676578629, 94.05442815566],
8183  [0.93605308122, 3.11933165579, 94.92652648966],
8184  [0.95274418275, -165.02457730646, 143.05369410522],
8185  [0.89087538490, 110.30720654257, 136.88656564166],
8186  [1.00000000000, -106.15091992088, 130.56730576487],
8187  [1.00000000000, -52.83140092204, 113.69905988310],
8188  [0.92232869119, 148.25678032576, 154.15732953495],
8189  [0.89087538490, 69.69279345752, 136.88656564167],
8190  [1.00000000000, -73.84908007908, 130.56730576487],
8191  [0.97106577369, -25.83506939220, 118.98711799519],
8192  [0.90507685181, 34.84371247594, 127.50013851276],
8193  [0.97106577369, -119.72009459652, 153.96444613297],
8194  [0.93605308122, 3.62689051952, 121.01544898760],
8195  [0.94124251586, -90.00000000107, 179.35096139267],
8196  [0.97106577369, -60.27990540346, 153.96444613298],
8197  [0.92232869119, 31.74321967433, 154.15732953498],
8198  [0.95274418275, -14.97542269348, 143.05369410525]
8199  ],
8200  [
8201  [29,19,21,31],
8202  [26,19,29],
8203  [26,16,10,19],
8204  [19,10,4,12,21],
8205  [16,6,10],
8206  [20,11,6,16],
8207  [10,6,0,4],
8208  [0,1,4],
8209  [0,2,3,1],
8210  [6,11,7,2,0],
8211  [2,5,3],
8212  [7,13,5,2],
8213  [40,35,26,29],
8214  [44,35,40],
8215  [44,41,30,35],
8216  [35,30,20,16,26],
8217  [41,32,30],
8218  [45,36,32,41],
8219  [30,32,22,20],
8220  [22,11,20],
8221  [22,17,7,11],
8222  [32,36,27,17,22],
8223  [17,13,7],
8224  [27,23,13,17],
8225  [49,51,44,40],
8226  [52,51,49],
8227  [52,54,53,51],
8228  [51,53,45,41,44],
8229  [53,48,45],
8230  [54,50,48,53],
8231  [45,48,37,36],
8232  [37,27,36],
8233  [37,33,23,27],
8234  [48,50,39,33,37],
8235  [33,25,23],
8236  [39,28,25,33],
8237  [42,46,52,49],
8238  [31,21,12,8,14,24,34,43,46,42],
8239  [46,43,47,54,52],
8240  [43,34,38,47],
8241  [47,50,54],
8242  [47,38,39,50],
8243  [34,24,18,28,38],
8244  [38,28,39],
8245  [18,15,25,28],
8246  [4,1,8,12],
8247  [14,9,18,24],
8248  [8,1,3,9,14],
8249  [9,15,18],
8250  [3,5,15,9],
8251  [42,49,40,29,31],
8252  [5,13,23,25,15]
8253  ],
8254  [
8255  [0,1],
8256  [0,2],
8257  [0,4],
8258  [0,6],
8259  [1,3],
8260  [1,4],
8261  [1,8],
8262  [2,3],
8263  [2,5],
8264  [2,7],
8265  [3,5],
8266  [3,9],
8267  [4,10],
8268  [4,12],
8269  [5,13],
8270  [5,15],
8271  [6,10],
8272  [6,11],
8273  [6,16],
8274  [7,11],
8275  [7,13],
8276  [7,17],
8277  [8,12],
8278  [8,14],
8279  [9,14],
8280  [9,15],
8281  [9,18],
8282  [10,16],
8283  [10,19],
8284  [11,20],
8285  [11,22],
8286  [12,21],
8287  [13,17],
8288  [13,23],
8289  [14,24],
8290  [15,18],
8291  [15,25],
8292  [16,20],
8293  [16,26],
8294  [17,22],
8295  [17,27],
8296  [18,24],
8297  [18,28],
8298  [19,21],
8299  [19,26],
8300  [19,29],
8301  [20,22],
8302  [20,30],
8303  [21,31],
8304  [22,32],
8305  [23,25],
8306  [23,27],
8307  [23,33],
8308  [24,34],
8309  [25,28],
8310  [25,33],
8311  [26,29],
8312  [26,35],
8313  [27,36],
8314  [27,37],
8315  [28,38],
8316  [28,39],
8317  [29,31],
8318  [29,40],
8319  [30,32],
8320  [30,35],
8321  [30,41],
8322  [31,42],
8323  [32,36],
8324  [32,41],
8325  [33,37],
8326  [33,39],
8327  [34,38],
8328  [34,43],
8329  [35,40],
8330  [35,44],
8331  [36,37],
8332  [36,45],
8333  [37,48],
8334  [38,39],
8335  [38,47],
8336  [39,50],
8337  [40,44],
8338  [40,49],
8339  [41,44],
8340  [41,45],
8341  [42,46],
8342  [42,49],
8343  [43,46],
8344  [43,47],
8345  [44,51],
8346  [45,48],
8347  [45,53],
8348  [46,52],
8349  [47,50],
8350  [47,54],
8351  [48,50],
8352  [48,53],
8353  [49,51],
8354  [49,52],
8355  [50,54],
8356  [51,52],
8357  [51,53],
8358  [52,54],
8359  [53,54]
8360  ]
8361  ],
8362  [
8363  "parabiaugmented_dodecahedron",
8364  "Parabiaugmented Dodecahedron",
8365  "J59",
8366  "johnson",
8367  "Polyhedron Database #103",
8368  [
8369  [ 0.85065080835, 0.44721359550, -0.27639320225],
8370  [ 0.79854751227, 0.16035745659, 0.25946381511],
8371  [ 0.79854751227, -0.16035745659, -0.25946381511],
8372  [ 0.49352950421, 0.67928508682, 0.16035745659],
8373  [ 0.49352950421, -0.16035745659, 0.67928508682],
8374  [ 0.49352950421, 0.16035745659, -0.67928508682],
8375  [ 0.49352950421, -0.67928508682, -0.16035745659],
8376  [ 0.30501800805, 0.67928508682, -0.41982127170],
8377  [ 0.30501800805, -0.67928508682, 0.41982127170],
8378  [ 0.00000000000, 0.67928508682, 0.51892763023],
8379  [-0.00000000000, 0.16035745659, 0.83964254341],
8380  [ 0.00000000000, -0.16035745659, -0.83964254341],
8381  [ 0.00000000000, -0.67928508682, -0.51892763023],
8382  [-0.30501800805, 0.67928508682, -0.41982127170],
8383  [-0.30501800805, -0.67928508682, 0.41982127170],
8384  [-0.49352950421, 0.67928508682, 0.16035745659],
8385  [-0.49352950421, -0.16035745659, 0.67928508682],
8386  [-0.49352950421, 0.16035745659, -0.67928508682],
8387  [-0.49352950421, -0.67928508682, -0.16035745659],
8388  [-0.79854751227, 0.16035745659, 0.25946381511],
8389  [-0.79854751227, -0.16035745659, -0.25946381511],
8390  [-0.85065080835, -0.44721359550, 0.27639320225]
8391  ],
8392  [
8393  [1.00000000000, 27.73230144770, 106.04505713532],
8394  [0.85481817633, 11.35462809222, 72.33019289294],
8395  [0.85481817633, -11.35462809223, 107.66980710704],
8396  [0.85481817633, 53.99999999999, 79.18768303642],
8397  [0.85481817633, -18.00000000000, 37.37736814064],
8398  [0.85481817633, 17.99999999999, 142.62263185933],
8399  [0.85481817633, -53.99999999999, 100.81231696356],
8400  [0.85481817633, 65.81858573661, 119.41445098643],
8401  [0.85481817633, -65.81858573663, 60.58554901355],
8402  [0.85481817633, 89.99999999999, 52.62263185935],
8403  [0.85481817633, 90.00000000003, 10.81231696358],
8404  [0.85481817633, -89.99999999996, 169.18768303641],
8405  [0.85481817633, -89.99999999999, 127.37736814064],
8406  [0.85481817633, 114.18141426336, 119.41445098644],
8407  [0.85481817633, -114.18141426338, 60.58554901356],
8408  [0.85481817633, 126.00000000000, 79.18768303643],
8409  [0.85481817633, -162.00000000000, 37.37736814065],
8410  [0.85481817633, 161.99999999999, 142.62263185935],
8411  [0.85481817633, -125.99999999999, 100.81231696357],
8412  [0.85481817633, 168.64537190776, 72.33019289295],
8413  [0.85481817633, -168.64537190776, 107.66980710705],
8414  [1.00000000000, -152.26769855229, 73.95494286467]
8415  ],
8416  [
8417  [12,18,14,8,6],
8418  [20,18,12,11,17],
8419  [11,12,6,2,5],
8420  [2,6,8,4,1],
8421  [4,8,14,16,10],
8422  [10,9,3,1,4],
8423  [5,7,13,17,11],
8424  [17,13,15,19,20],
8425  [19,15,9,10,16],
8426  [13,7,3,9,15],
8427  [3,7,0],
8428  [1,3,0],
8429  [7,5,0],
8430  [5,2,0],
8431  [1,0,2],
8432  [14,18,21],
8433  [16,14,21],
8434  [18,20,21],
8435  [20,19,21],
8436  [16,21,19]
8437  ],
8438  [
8439  [0,1],
8440  [0,2],
8441  [0,3],
8442  [0,5],
8443  [0,7],
8444  [1,2],
8445  [1,3],
8446  [1,4],
8447  [2,5],
8448  [2,6],
8449  [3,7],
8450  [3,9],
8451  [4,8],
8452  [4,10],
8453  [5,7],
8454  [5,11],
8455  [6,8],
8456  [6,12],
8457  [7,13],
8458  [8,14],
8459  [9,10],
8460  [9,15],
8461  [10,16],
8462  [11,12],
8463  [11,17],
8464  [12,18],
8465  [13,15],
8466  [13,17],
8467  [14,16],
8468  [14,18],
8469  [14,21],
8470  [15,19],
8471  [16,19],
8472  [16,21],
8473  [17,20],
8474  [18,20],
8475  [18,21],
8476  [19,20],
8477  [19,21],
8478  [20,21]
8479  ]
8480  ],
8481  [
8482  "parabiaugmented_hexagonal_prism",
8483  "Parabiaugmented Hexagonal Prism",
8484  "J55",
8485  "johnson",
8486  "Polyhedron Database #99",
8487  [
8488  [-0.86602540378, 0.00000000000, 0.50000000000],
8489  [-0.31783724520, 0.31783724520, 0.55051025722],
8490  [-0.63567449039, 0.31783724520, -0.00000000000],
8491  [-0.31783724520, -0.31783724520, 0.55051025722],
8492  [ 0.31783724520, 0.31783724520, 0.55051025722],
8493  [-0.63567449039, -0.31783724520, -0.00000000000],
8494  [ 0.31783724520, -0.31783724520, 0.55051025722],
8495  [-0.31783724520, 0.31783724520, -0.55051025722],
8496  [ 0.63567449039, 0.31783724520, 0.00000000000],
8497  [-0.31783724520, -0.31783724520, -0.55051025722],
8498  [ 0.31783724520, 0.31783724520, -0.55051025722],
8499  [ 0.63567449039, -0.31783724520, 0.00000000000],
8500  [ 0.31783724520, -0.31783724520, -0.55051025722],
8501  [ 0.86602540378, 0.00000000000, -0.50000000000]
8502  ],
8503  [
8504  [1.00000000000, 179.99999999999, 59.99999999999],
8505  [0.71070568604, 134.99999999999, 39.23152048359],
8506  [0.71070568604, 153.43494882292, 90.00000000000],
8507  [0.71070568604, -135.00000000000, 39.23152048358],
8508  [0.71070568604, 45.00000000000, 39.23152048359],
8509  [0.71070568604, -153.43494882291, 89.99999999999],
8510  [0.71070568604, -44.99999999999, 39.23152048358],
8511  [0.71070568604, 135.00000000000, 140.76847951641],
8512  [0.71070568604, 26.56505117708, 89.99999999999],
8513  [0.71070568604, -134.99999999999, 140.76847951640],
8514  [0.71070568604, 44.99999999999, 140.76847951641],
8515  [0.71070568604, -26.56505117707, 89.99999999999],
8516  [0.71070568604, -45.00000000001, 140.76847951639],
8517  [1.00000000000, 0.00000000000, 119.99999999999]
8518  ],
8519  [
8520  [3,6,11,12,9,5],
8521  [1,2,7,10,8,4],
8522  [7,2,5,9],
8523  [10,7,9,12],
8524  [4,8,11,6],
8525  [1,4,6,3],
8526  [11,13,12],
8527  [13,10,12],
8528  [8,13,11],
8529  [10,13,8],
8530  [5,0,3],
8531  [0,1,3],
8532  [2,0,5],
8533  [1,0,2]
8534  ],
8535  [
8536  [0,1],
8537  [0,2],
8538  [0,3],
8539  [0,5],
8540  [1,2],
8541  [1,3],
8542  [1,4],
8543  [2,5],
8544  [2,7],
8545  [3,5],
8546  [3,6],
8547  [4,6],
8548  [4,8],
8549  [5,9],
8550  [6,11],
8551  [7,9],
8552  [7,10],
8553  [8,10],
8554  [8,11],
8555  [8,13],
8556  [9,12],
8557  [10,12],
8558  [10,13],
8559  [11,12],
8560  [11,13],
8561  [12,13]
8562  ]
8563  ],
8564  [
8565  "parabiaugmented_truncated_dodecahedron",
8566  "Parabiaugmented Truncated Dodecahedron",
8567  "J69",
8568  "johnson",
8569  "Polyhedron Database #113",
8570  [
8571  [-0.41777457947, -0.08389390482, -0.84650375692],
8572  [-0.51639777949, -0.35538028373, -0.71076056747],
8573  [-0.15957568972, 0.08389390482, -0.93039766175],
8574  [-0.67597346922, -0.08389390482, -0.65891128284],
8575  [-0.41777457947, -0.62686666264, -0.57501737801],
8576  [ 0.15957568972, 0.08389390482, -0.93039766175],
8577  [-0.00000000000, 0.35538028373, -0.87854837712],
8578  [-0.83554915894, 0.08389390482, -0.43927418856],
8579  [-0.15957568972, -0.79465447229, -0.49112347319],
8580  [ 0.41777457947, -0.08389390482, -0.84650375692],
8581  [ 0.43462143328, 0.23396788409, -0.86969146193],
8582  [ 0.27504574356, 0.50545426300, -0.81784217730],
8583  [-0.41777457947, -0.79465447229, -0.30353099910],
8584  [-0.00000000000, 0.62686666264, -0.71076056747],
8585  [-0.83554915894, 0.35538028373, -0.27148637891],
8586  [ 0.15957568972, -0.79465447229, -0.49112347319],
8587  [ 0.51639777949, -0.35538028373, -0.71076056747],
8588  [-0.93417235896, 0.08389390482, -0.13574318945],
8589  [ 0.41777457947, -0.62686666264, -0.57501737801],
8590  [-0.15957568972, 0.79465447229, -0.49112347319],
8591  [-0.67597346922, 0.62686666264, -0.21963709428],
8592  [ 0.67597346922, -0.08389390482, -0.65891128284],
8593  [ 0.69282032303, 0.23396788409, -0.68209898784],
8594  [-0.51639777949, -0.79465447229, 0.00000000000],
8595  [-0.41777457947, 0.79465447229, -0.30353099910],
8596  [ 0.43462143328, 0.67324207265, -0.59820508302],
8597  [ 0.15957568972, 0.79465447229, -0.49112347319],
8598  [-0.93417235896, -0.08389390482, 0.13574318945],
8599  [ 0.41777457947, -0.79465447229, -0.30353099910],
8600  [-0.67597346922, -0.62686666264, 0.21963709428],
8601  [ 0.69282032303, 0.50545426300, -0.51431117819],
8602  [-0.83554915894, -0.35538028373, 0.27148637891],
8603  [-0.51639777949, 0.79465447229, 0.00000000000],
8604  [ 0.83554915894, 0.08389390482, -0.43927418856],
8605  [-0.41777457947, -0.79465447229, 0.30353099910],
8606  [ 0.41777457947, 0.79465447229, -0.30353099910],
8607  [-0.83554915894, -0.08389390482, 0.43927418856],
8608  [ 0.51639777949, -0.79465447229, -0.00000000000],
8609  [ 0.83554915894, 0.35538028373, -0.27148637891],
8610  [-0.69282032303, -0.50545426300, 0.51431117819],
8611  [ 0.67597346922, 0.62686666264, -0.21963709428],
8612  [-0.41777457947, 0.79465447229, 0.30353099910],
8613  [ 0.93417235896, 0.08389390482, -0.13574318945],
8614  [-0.15957568972, -0.79465447229, 0.49112347319],
8615  [-0.43462143328, -0.67324207265, 0.59820508302],
8616  [ 0.41777457947, -0.79465447229, 0.30353099910],
8617  [ 0.51639777949, 0.79465447229, -0.00000000000],
8618  [-0.69282032303, -0.23396788409, 0.68209898784],
8619  [-0.67597346922, 0.08389390482, 0.65891128284],
8620  [ 0.67597346922, -0.62686666264, 0.21963709428],
8621  [ 0.15957568972, -0.79465447229, 0.49112347319],
8622  [-0.41777457947, 0.62686666264, 0.57501737801],
8623  [ 0.93417235896, -0.08389390482, 0.13574318945],
8624  [-0.51639777949, 0.35538028373, 0.71076056747],
8625  [-0.15957568972, 0.79465447229, 0.49112347319],
8626  [ 0.83554915894, -0.35538028373, 0.27148637891],
8627  [ 0.00000000000, -0.62686666264, 0.71076056747],
8628  [ 0.41777457947, 0.79465447229, 0.30353099910],
8629  [-0.27504574356, -0.50545426300, 0.81784217730],
8630  [-0.43462143328, -0.23396788409, 0.86969146193],
8631  [-0.41777457947, 0.08389390482, 0.84650375692],
8632  [ 0.15957568972, 0.79465447229, 0.49112347319],
8633  [ 0.83554915894, -0.08389390482, 0.43927418856],
8634  [ 0.00000000000, -0.35538028373, 0.87854837712],
8635  [-0.15957568972, -0.08389390482, 0.93039766175],
8636  [ 0.41777457947, 0.62686666264, 0.57501737801],
8637  [ 0.67597346922, 0.08389390482, 0.65891128284],
8638  [ 0.15957568972, -0.08389390482, 0.93039766175],
8639  [ 0.51639777949, 0.35538028373, 0.71076056747],
8640  [ 0.41777457947, 0.08389390482, 0.84650375692]
8641  ],
8642  [
8643  [0.94770374960, -168.64537190776, 153.28013898830],
8644  [0.94770374960, -145.46460289539, 138.58880169320],
8645  [0.94770374960, 152.26769855232, 169.03360469452],
8646  [0.94770374960, -172.92529490520, 134.04884571041],
8647  [0.94770374960, -123.68142749990, 127.35473359040],
8648  [0.94770374960, 27.73230144773, 169.03360469455],
8649  [0.94770374960, 90.00000000003, 157.97624948384],
8650  [0.94770374960, 174.26639258734, 117.61410888587],
8651  [0.94770374960, -101.35462809223, 121.21324176779],
8652  [0.94770374960, -11.35462809223, 153.28013898833],
8653  [1.00000000000, 28.29472150821, 150.42280516293],
8654  [1.00000000000, 61.44693246452, 144.86936714484],
8655  [0.94770374960, -117.73230144770, 108.67988715813],
8656  [0.94770374960, 90.00000000001, 138.58880169322],
8657  [0.94770374960, 156.95871796353, 106.64659156938],
8658  [0.94770374960, -78.64537190778, 121.21324176780],
8659  [0.94770374960, -34.53539710460, 138.58880169322],
8660  [0.94770374960, 174.86828470418, 98.23501459354],
8661  [0.94770374960, -56.31857250010, 127.35473359041],
8662  [0.94770374960, 101.35462809223, 121.21324176781],
8663  [0.94770374960, 137.15857755564, 103.40054301124],
8664  [0.94770374960, -7.07470509479, 134.04884571044],
8665  [1.00000000000, 18.66000818099, 133.00788389657],
8666  [0.94770374960, -123.01739809413, 89.99999999999],
8667  [0.94770374960, 117.73230144770, 108.67988715813],
8668  [1.00000000000, 57.15513367416, 126.74145405611],
8669  [0.94770374960, 78.64537190778, 121.21324176780],
8670  [0.94770374960, -174.86828470418, 81.76498540642],
8671  [0.94770374960, -62.26769855230, 108.67988715815],
8672  [0.94770374960, -137.15857755564, 76.59945698873],
8673  [1.00000000000, 36.11300912328, 120.95142428592],
8674  [0.94770374960, -156.95871796352, 73.35340843058],
8675  [0.94770374960, 123.01739809413, 89.99999999999],
8676  [0.94770374960, 5.73360741265, 117.61410888590],
8677  [0.94770374960, -117.73230144769, 71.32011284184],
8678  [0.94770374960, 62.26769855230, 108.67988715815],
8679  [0.94770374960, -174.26639258734, 62.38589111409],
8680  [0.94770374960, -56.98260190585, 90.00000000000],
8681  [0.94770374960, 23.04128203647, 106.64659156940],
8682  [1.00000000000, -143.88699087670, 59.04857571407],
8683  [0.94770374960, 42.84142244435, 103.40054301126],
8684  [0.94770374960, 117.73230144769, 71.32011284184],
8685  [0.94770374960, 5.13171529581, 98.23501459357],
8686  [0.94770374960, -101.35462809221, 58.78675823219],
8687  [1.00000000000, -122.84486632582, 53.25854594388],
8688  [0.94770374960, -62.26769855229, 71.32011284186],
8689  [0.94770374960, 56.98260190586, 90.00000000000],
8690  [1.00000000000, -161.33999181900, 46.99211610342],
8691  [0.94770374960, 172.92529490520, 45.95115428955],
8692  [0.94770374960, -42.84142244435, 76.59945698874],
8693  [0.94770374960, -78.64537190776, 58.78675823218],
8694  [0.94770374960, 123.68142749989, 52.64526640958],
8695  [0.94770374960, -5.13171529581, 81.76498540645],
8696  [0.94770374960, 145.46460289539, 41.41119830677],
8697  [0.94770374960, 101.35462809221, 58.78675823218],
8698  [0.94770374960, -23.04128203647, 73.35340843061],
8699  [0.94770374960, -89.99999999998, 41.41119830677],
8700  [0.94770374960, 62.26769855229, 71.32011284186],
8701  [1.00000000000, -118.55306753547, 35.13063285515],
8702  [1.00000000000, -151.70527849178, 29.57719483705],
8703  [0.94770374960, 168.64537190776, 26.71986101166],
8704  [0.94770374960, 78.64537190776, 58.78675823220],
8705  [0.94770374960, -5.73360741264, 62.38589111412],
8706  [0.94770374960, -89.99999999996, 22.02375051615],
8707  [0.94770374960, -152.26769855226, 10.96639530544],
8708  [0.94770374960, 56.31857250008, 52.64526640959],
8709  [0.94770374960, 7.07470509479, 45.95115428958],
8710  [0.94770374960, -27.73230144767, 10.96639530546],
8711  [0.94770374960, 34.53539710460, 41.41119830678],
8712  [0.94770374960, 11.35462809222, 26.71986101169]
8713  ],
8714  [
8715  [8,12,23,34,43,50,45,37,28,15],
8716  [12,8,4],
8717  [2,0,1,4,8,15,18,16,9,5],
8718  [1,0,3],
8719  [15,28,18],
8720  [33,21,16,18,28,37,49,55,52,42],
8721  [16,21,9],
8722  [37,45,49],
8723  [66,62,55,49,45,50,56,63,67,69],
8724  [55,62,52],
8725  [50,43,56],
8726  [64,60,53,51,54,61,65,68,69,67],
8727  [67,63,64],
8728  [34,23,29],
8729  [17,27,31,29,23,12,4,1,3,7],
8730  [31,27,36],
8731  [19,26,35,46,57,61,54,41,32,24],
8732  [26,19,13],
8733  [0,2,6,13,19,24,20,14,7,3],
8734  [6,2,5],
8735  [24,32,20],
8736  [27,17,14,20,32,41,51,53,48,36],
8737  [14,17,7],
8738  [41,54,51],
8739  [48,53,60],
8740  [61,57,65],
8741  [62,66,68,65,57,46,40,38,42,52],
8742  [68,66,69],
8743  [46,35,40],
8744  [42,38,33],
8745  [11,10,22,30,25],
8746  [40,35,25,30],
8747  [38,40,30],
8748  [33,38,30,22],
8749  [21,33,22],
8750  [9,21,22,10],
8751  [5,9,10],
8752  [6,5,10,11],
8753  [6,11,13],
8754  [26,13,11,25],
8755  [35,26,25],
8756  [39,47,59,58,44],
8757  [56,43,44,58],
8758  [63,56,58],
8759  [64,63,58,59],
8760  [60,64,59],
8761  [48,60,59,47],
8762  [36,48,47],
8763  [31,36,47,39],
8764  [31,39,29],
8765  [34,29,39,44],
8766  [43,34,44]
8767  ],
8768  [
8769  [0,1],
8770  [0,2],
8771  [0,3],
8772  [1,3],
8773  [1,4],
8774  [2,5],
8775  [2,6],
8776  [3,7],
8777  [4,8],
8778  [4,12],
8779  [5,6],
8780  [5,9],
8781  [5,10],
8782  [6,11],
8783  [6,13],
8784  [7,14],
8785  [7,17],
8786  [8,12],
8787  [8,15],
8788  [9,10],
8789  [9,16],
8790  [9,21],
8791  [10,11],
8792  [10,22],
8793  [11,13],
8794  [11,25],
8795  [12,23],
8796  [13,19],
8797  [13,26],
8798  [14,17],
8799  [14,20],
8800  [15,18],
8801  [15,28],
8802  [16,18],
8803  [16,21],
8804  [17,27],
8805  [18,28],
8806  [19,24],
8807  [19,26],
8808  [20,24],
8809  [20,32],
8810  [21,22],
8811  [21,33],
8812  [22,30],
8813  [22,33],
8814  [23,29],
8815  [23,34],
8816  [24,32],
8817  [25,26],
8818  [25,30],
8819  [25,35],
8820  [26,35],
8821  [27,31],
8822  [27,36],
8823  [28,37],
8824  [29,31],
8825  [29,34],
8826  [29,39],
8827  [30,38],
8828  [30,40],
8829  [31,36],
8830  [31,39],
8831  [32,41],
8832  [33,38],
8833  [33,42],
8834  [34,43],
8835  [34,44],
8836  [35,40],
8837  [35,46],
8838  [36,47],
8839  [36,48],
8840  [37,45],
8841  [37,49],
8842  [38,40],
8843  [38,42],
8844  [39,44],
8845  [39,47],
8846  [40,46],
8847  [41,51],
8848  [41,54],
8849  [42,52],
8850  [43,44],
8851  [43,50],
8852  [43,56],
8853  [44,58],
8854  [45,49],
8855  [45,50],
8856  [46,57],
8857  [47,48],
8858  [47,59],
8859  [48,53],
8860  [48,60],
8861  [49,55],
8862  [50,56],
8863  [51,53],
8864  [51,54],
8865  [52,55],
8866  [52,62],
8867  [53,60],
8868  [54,61],
8869  [55,62],
8870  [56,58],
8871  [56,63],
8872  [57,61],
8873  [57,65],
8874  [58,59],
8875  [58,63],
8876  [59,60],
8877  [59,64],
8878  [60,64],
8879  [61,65],
8880  [62,66],
8881  [63,64],
8882  [63,67],
8883  [64,67],
8884  [65,68],
8885  [66,68],
8886  [66,69],
8887  [67,69],
8888  [68,69]
8889  ]
8890  ],
8891  [
8892  "parabidiminished_rhombicosidodecahedron",
8893  "Parabidiminished Rhombicosidodecahedron",
8894  "J80",
8895  "johnson",
8896  "Polyhedron Database #124",
8897  [
8898  [ 0.58622749983, 0.68915175777, 0.42591920971],
8899  [ 0.22391897979, 0.68915175777, 0.68915175777],
8900  [ 0.81014647962, 0.30819803544, 0.49867489661],
8901  [ 0.22391897979, 0.30819803544, 0.92459410632],
8902  [ 0.58622749983, 0.07275568690, 0.80687293205],
8903  [ 0.72461704007, 0.68915175777, 0.00000000000],
8904  [ 0.94853601986, 0.30819803544, 0.07275568690],
8905  [-0.22391897979, 0.68915175777, 0.68915175777],
8906  [ 0.94853601986, -0.07275568690, 0.30819803544],
8907  [-0.22391897979, 0.30819803544, 0.92459410632],
8908  [ 0.72461704007, -0.30819803544, 0.61639607088],
8909  [-0.00000000000, -0.07275568690, 0.99734979321],
8910  [ 0.36230852003, -0.30819803544, 0.87962861894],
8911  [ 0.58622749983, 0.68915175777, -0.42591920971],
8912  [ 0.94853601986, 0.07275568690, -0.30819803544],
8913  [-0.58622749983, 0.68915175777, 0.42591920971],
8914  [ 0.94853601986, -0.30819803544, -0.07275568690],
8915  [ 0.72461704007, 0.30819803544, -0.61639607088],
8916  [-0.58622749983, 0.07275568690, 0.80687293205],
8917  [ 0.58622749983, -0.68915175777, 0.42591920971],
8918  [-0.36230852003, -0.30819803544, 0.87962861894],
8919  [ 0.22391897979, 0.68915175777, -0.68915175777],
8920  [ 0.22391897979, -0.68915175777, 0.68915175777],
8921  [-0.81014647962, 0.30819803544, 0.49867489661],
8922  [-0.72461704007, 0.68915175777, -0.00000000000],
8923  [ 0.72461704007, -0.68915175777, 0.00000000000],
8924  [ 0.81014647962, -0.30819803544, -0.49867489661],
8925  [-0.22391897979, 0.68915175777, -0.68915175777],
8926  [-0.22391897979, -0.68915175777, 0.68915175777],
8927  [ 0.36230852003, 0.30819803544, -0.87962861894],
8928  [-0.58622749983, 0.68915175777, -0.42591920971],
8929  [ 0.58622749983, -0.07275568690, -0.80687293205],
8930  [-0.72461704007, -0.30819803544, 0.61639607088],
8931  [-0.94853601986, 0.30819803544, 0.07275568690],
8932  [ 0.58622749983, -0.68915175777, -0.42591920971],
8933  [-0.94853601986, -0.07275568690, 0.30819803544],
8934  [-0.58622749983, -0.68915175777, 0.42591920971],
8935  [-0.36230852003, 0.30819803544, -0.87962861894],
8936  [ 0.00000000000, 0.07275568690, -0.99734979321],
8937  [-0.72461704007, 0.30819803544, -0.61639607088],
8938  [ 0.22391897979, -0.30819803544, -0.92459410632],
8939  [-0.94853601986, 0.07275568690, -0.30819803544],
8940  [ 0.22391897979, -0.68915175777, -0.68915175777],
8941  [-0.94853601986, -0.30819803544, -0.07275568690],
8942  [-0.72461704007, -0.68915175777, -0.00000000000],
8943  [-0.58622749983, -0.07275568690, -0.80687293205],
8944  [-0.22391897979, -0.30819803544, -0.92459410632],
8945  [-0.81014647962, -0.30819803544, -0.49867489661],
8946  [-0.22391897979, -0.68915175777, -0.68915175777],
8947  [-0.58622749983, -0.68915175777, -0.42591920971]
8948  ],
8949  [
8950  [1.00000000000, 49.61382244080, 64.79113973109],
8951  [1.00000000000, 71.99999999999, 46.43699940042],
8952  [1.00000000000, 20.82794635300, 60.08762947998],
8953  [1.00000000000, 54.00000000001, 22.39277092895],
8954  [1.00000000000, 7.07470509478, 36.20847605288],
8955  [1.00000000000, 43.56300059957, 89.99999999999],
8956  [1.00000000000, 18.00000000000, 85.82771975187],
8957  [1.00000000000, 108.00000000000, 46.43699940042],
8958  [1.00000000000, -4.38617755920, 72.04933075284],
8959  [1.00000000000, 126.00000000002, 22.39277092895],
8960  [1.00000000000, -23.04128203648, 51.94656853438],
8961  [1.00000000000, -90.00000000007, 4.17228024813],
8962  [1.00000000000, -40.38617755921, 28.40240364405],
8963  [1.00000000000, 49.61382244080, 115.20886026888],
8964  [1.00000000000, 4.38617755920, 107.95066924714],
8965  [1.00000000000, 130.38617755919, 64.79113973110],
8966  [1.00000000000, -18.00000000000, 94.17228024812],
8967  [1.00000000000, 23.04128203647, 128.05343146559],
8968  [1.00000000000, 172.92529490521, 36.20847605289],
8969  [1.00000000000, -49.61382244080, 64.79113973110],
8970  [1.00000000000, -139.61382244078, 28.40240364406],
8971  [1.00000000000, 71.99999999999, 133.56300059956],
8972  [1.00000000000, -72.00000000000, 46.43699940043],
8973  [1.00000000000, 159.17205364699, 60.08762947999],
8974  [1.00000000000, 136.43699940041, 89.99999999999],
8975  [1.00000000000, -43.56300059957, 89.99999999999],
8976  [1.00000000000, -20.82794635300, 119.91237052000],
8977  [1.00000000000, 107.99999999999, 133.56300059956],
8978  [1.00000000000, -108.00000000000, 46.43699940042],
8979  [1.00000000000, 40.38617755920, 151.59759635593],
8980  [1.00000000000, 130.38617755918, 115.20886026889],
8981  [1.00000000000, -7.07470509478, 143.79152394710],
8982  [1.00000000000, -156.95871796352, 51.94656853439],
8983  [1.00000000000, 161.99999999999, 85.82771975187],
8984  [1.00000000000, -49.61382244080, 115.20886026889],
8985  [1.00000000000, -175.61382244079, 72.04933075285],
8986  [1.00000000000, -130.38617755919, 64.79113973111],
8987  [1.00000000000, 139.61382244078, 151.59759635594],
8988  [1.00000000000, 89.99999999992, 175.82771975186],
8989  [1.00000000000, 156.95871796351, 128.05343146560],
8990  [1.00000000000, -53.99999999996, 157.60722907103],
8991  [1.00000000000, 175.61382244079, 107.95066924714],
8992  [1.00000000000, -71.99999999999, 133.56300059957],
8993  [1.00000000000, -161.99999999999, 94.17228024812],
8994  [1.00000000000, -136.43699940042, 90.00000000000],
8995  [1.00000000000, -172.92529490521, 143.79152394711],
8996  [1.00000000000, -125.99999999998, 157.60722907104],
8997  [1.00000000000, -159.17205364699, 119.91237052001],
8998  [1.00000000000, -107.99999999999, 133.56300059957],
8999  [1.00000000000, -130.38617755919, 115.20886026889]
9000  ],
9001  [
9002  [12,10,19,22],
9003  [4,10,12],
9004  [4,2,8,10],
9005  [10,8,16,25,19],
9006  [2,6,8],
9007  [0,5,6,2],
9008  [8,6,14,16],
9009  [14,26,16],
9010  [14,17,31,26],
9011  [6,5,13,17,14],
9012  [17,29,31],
9013  [13,21,29,17],
9014  [11,3,4,12],
9015  [9,3,11],
9016  [9,7,1,3],
9017  [3,1,0,2,4],
9018  [30,27,21,13,5,0,1,7,15,24],
9019  [20,18,9,11],
9020  [32,18,20],
9021  [32,35,23,18],
9022  [18,23,15,7,9],
9023  [35,33,23],
9024  [43,41,33,35],
9025  [23,33,24,15],
9026  [33,41,39,30,24],
9027  [39,37,27,30],
9028  [28,36,32,20],
9029  [22,19,25,34,42,48,49,44,36,28],
9030  [36,44,43,35,32],
9031  [44,49,47,43],
9032  [47,41,43],
9033  [47,45,39,41],
9034  [49,48,46,45,47],
9035  [45,37,39],
9036  [46,38,37,45],
9037  [16,26,34,25],
9038  [42,40,46,48],
9039  [34,26,31,40,42],
9040  [40,38,46],
9041  [31,29,38,40],
9042  [28,20,11,12,22],
9043  [29,21,27,37,38]
9044  ],
9045  [
9046  [0,1],
9047  [0,2],
9048  [0,5],
9049  [1,3],
9050  [1,7],
9051  [2,4],
9052  [2,6],
9053  [2,8],
9054  [3,4],
9055  [3,9],
9056  [3,11],
9057  [4,10],
9058  [4,12],
9059  [5,6],
9060  [5,13],
9061  [6,8],
9062  [6,14],
9063  [7,9],
9064  [7,15],
9065  [8,10],
9066  [8,16],
9067  [9,11],
9068  [9,18],
9069  [10,12],
9070  [10,19],
9071  [11,12],
9072  [11,20],
9073  [12,22],
9074  [13,17],
9075  [13,21],
9076  [14,16],
9077  [14,17],
9078  [14,26],
9079  [15,23],
9080  [15,24],
9081  [16,25],
9082  [16,26],
9083  [17,29],
9084  [17,31],
9085  [18,20],
9086  [18,23],
9087  [18,32],
9088  [19,22],
9089  [19,25],
9090  [20,28],
9091  [20,32],
9092  [21,27],
9093  [21,29],
9094  [22,28],
9095  [23,33],
9096  [23,35],
9097  [24,30],
9098  [24,33],
9099  [25,34],
9100  [26,31],
9101  [26,34],
9102  [27,30],
9103  [27,37],
9104  [28,36],
9105  [29,31],
9106  [29,38],
9107  [30,39],
9108  [31,40],
9109  [32,35],
9110  [32,36],
9111  [33,35],
9112  [33,41],
9113  [34,42],
9114  [35,43],
9115  [36,44],
9116  [37,38],
9117  [37,39],
9118  [37,45],
9119  [38,40],
9120  [38,46],
9121  [39,41],
9122  [39,45],
9123  [40,42],
9124  [40,46],
9125  [41,43],
9126  [41,47],
9127  [42,48],
9128  [43,44],
9129  [43,47],
9130  [44,49],
9131  [45,46],
9132  [45,47],
9133  [46,48],
9134  [47,49],
9135  [48,49]
9136  ]
9137  ],
9138  [
9139  "parabigyrate_rhombicosidodecahedron",
9140  "Parabigyrate Rhombicosidodecahedron",
9141  "J73",
9142  "johnson",
9143  "Polyhedron Database #117",
9144  [
9145  [ 0.36230850004, -0.30819801706, 0.87962856150],
9146  [ 0.72461699471, -0.30819801706, 0.61639603048],
9147  [ 0.58622746438, 0.07275567931, 0.80687287901],
9148  [ 0.22391896876, -0.68915171342, 0.68915171367],
9149  [ 0.00000000500, -0.07275568456, 0.99734972866],
9150  [ 0.58622746343, -0.68915171342, 0.42591918264],
9151  [ 0.22391896935, 0.30819801180, 0.92459404616],
9152  [ 0.94853595846, -0.07275568456, 0.30819801549],
9153  [ 0.81014642814, 0.30819801180, 0.49867486402],
9154  [-0.22391896030, -0.68915171342, 0.68915171479],
9155  [-0.36230849063, -0.30819801706, 0.87962856332],
9156  [ 0.22391896780, -0.92459404591, 0.30819801731],
9157  [-0.22391895971, 0.30819801180, 0.92459404728],
9158  [ 0.72461699316, -0.68915171342, 0.00000000162],
9159  [ 0.94853595751, -0.30819801706, -0.07275568087],
9160  [ 0.22391896876, 0.68915170816, 0.68915171367],
9161  [ 0.58622746343, 0.68915170816, 0.42591918264],
9162  [ 0.98678588305, 0.13783033953, -0.08518383517],
9163  [ 0.84839635273, 0.51878403589, 0.10529301336],
9164  [-0.22391896125, -0.92459404591, 0.30819801843],
9165  [-0.58622745534, 0.07275567931, 0.80687288195],
9166  [ 0.36230849754, -0.92459404591, -0.11772116371],
9167  [-0.62447738147, -0.51878404115, 0.58385870375],
9168  [-0.22391896030, 0.68915170816, 0.68915171479],
9169  [ 0.58622746129, -0.68915171342, -0.42591917870],
9170  [ 0.81014642564, -0.30819801706, -0.49867486120],
9171  [ 0.00000000346, 0.92459404065, 0.38095369980],
9172  [ 0.36230849813, 0.92459404065, 0.11772116878],
9173  [-0.62447738243, -0.75422637364, 0.20290500739],
9174  [-0.84839634618, -0.13783034479, 0.51110302238],
9175  [ 0.84839635118, 0.13783033953, -0.51110301549],
9176  [ 0.62447738743, 0.75422636838, -0.20290500050],
9177  [-0.36230849313, -0.92459404591, -0.11772116190],
9178  [ 0.00000000155, -0.92459404591, -0.38095369292],
9179  [-0.81014642064, 0.30819801180, 0.49867486808],
9180  [-0.58622745629, 0.68915170816, 0.42591918558],
9181  [ 0.22391896530, -0.68915171342, -0.68915170791],
9182  [ 0.62447738647, 0.51878403589, -0.58385869687],
9183  [-0.36230849254, 0.92459404065, 0.11772117060],
9184  [ 0.58622746034, -0.07275568456, -0.80687287506],
9185  [ 0.22391896626, 0.92459404065, -0.30819801155],
9186  [-0.84839634773, -0.51878404115, -0.10529300648],
9187  [-0.98678587805, -0.13783034479, 0.08518384205],
9188  [-0.58622745843, -0.68915171342, -0.42591917576],
9189  [-0.22391896375, -0.68915171342, -0.68915170679],
9190  [-0.94853595251, 0.30819801180, 0.07275568775],
9191  [-0.72461702963, 0.68915172996, -0.00000000821],
9192  [ 0.22391896471, -0.30819801706, -0.92459404040],
9193  [-0.22391896280, 0.92459404065, -0.30819801042],
9194  [ 0.36230849563, 0.30819801180, -0.87962855644],
9195  [ 0.22391896530, 0.68915170816, -0.68915170791],
9196  [-0.81014642314, -0.30819801706, -0.49867485713],
9197  [-0.94853595346, 0.07275567931, -0.30819800861],
9198  [-0.22391896435, -0.30819801706, -0.92459403928],
9199  [-0.58622752552, 0.68915174343, -0.42591919756],
9200  [ 0.00000000000, 0.07275570111, -0.99734976537],
9201  [-0.22391896376, 0.68915172996, -0.68915175038],
9202  [-0.58622745938, -0.07275568456, -0.80687287212],
9203  [-0.72461703117, 0.30819803360, -0.61639603707],
9204  [-0.36230849504, 0.30819804707, -0.87962862516]
9205  ],
9206  [
9207  [0.99999993656, -40.38617743313, 28.40240384151],
9208  [0.99999993656, -23.04128209727, 51.94656862891],
9209  [0.99999993587, 7.07470478772, 36.20847617870],
9210  [0.99999993656, -71.99999974627, 46.43699943116],
9211  [0.99999993544, -89.99999606190, 4.17228038401],
9212  [0.99999993656, -49.61382237655, 64.79113973417],
9213  [0.99999993475, 53.99999918131, 22.39277090345],
9214  [0.99999993544, -4.38617770198, 72.04933075606],
9215  [0.99999993475, 20.82794610245, 60.08762948339],
9216  [0.99999993544, -107.99999961779, 46.43699928138],
9217  [0.99999993475, -139.61382183230, 28.40240343072],
9218  [0.99999993587, -76.38617740486, 72.04933065459],
9219  [0.99999993363, 125.99999964614, 22.39277057888],
9220  [0.99999993544, -43.56300060998, 89.99999990690],
9221  [0.99999993475, -18.00000010248, 94.17228017477],
9222  [0.99999993294, 71.99999961782, 46.43699923371],
9223  [0.99999993294, 49.61382216083, 64.79113963644],
9224  [0.99999993363, 7.95140457547, 94.88659651498],
9225  [0.99999993294, 31.44527793232, 83.95595102273],
9226  [0.99999993475, -103.61382221193, 72.04933056618],
9227  [0.99999993294, 172.92529510423, 36.20847566418],
9228  [0.99999993475, -68.60193103217, 96.76060308200],
9229  [0.99999993363, -140.28192204812, 54.27759374404],
9230  [0.99999993182, 107.99999974630, 46.43699908393],
9231  [0.99999993363, -49.61382247955, 115.20886009515],
9232  [0.99999993294, -20.82794648604, 119.91237038987],
9233  [0.99999993070, 89.99999978588, 67.60722883136],
9234  [0.99999993070, 68.60193088980, 83.23939659817],
9235  [0.99999993294, -129.62376261749, 78.29311161251],
9236  [0.99999993182, -170.77235490496, 59.26266820361],
9237  [0.99999993182, 9.22764469560, 120.73733133757],
9238  [0.99999993070, 50.37623696091, 101.70688801134],
9239  [0.99999993294, -111.39806873086, 96.76060298949],
9240  [0.99999993294, -89.99999990422, 112.39277068925],
9241  [0.99999993070, 159.17205372127, 60.08762908134],
9242  [0.99999993001, 130.38617749497, 64.79113937122],
9243  [0.99999993182, -72.00000000611, 133.56300037183],
9244  [0.99999993001, 39.71807744091, 125.72240591951],
9245  [0.99999992889, 111.39806880987, 83.23939648105],
9246  [0.99999993070, -7.07470534214, 143.79152384349],
9247  [0.99999992889, 76.38617742080, 107.95066912810],
9248  [0.99999993070, -148.55472165891, 96.04404859429],
9249  [0.99999993001, -172.04859508528, 85.11340307146],
9250  [0.99999993070, -130.38617738221, 115.20885998809],
9251  [0.99999993070, -107.99999987764, 133.56300034407],
9252  [0.99999992889, 162.00000009602, 85.82771940530],
9253  [0.99999997327, 136.43700014306, 90.00000047066],
9254  [0.99999993001, -54.00000021021, 157.60722888982],
9255  [0.99999992777, 103.61382237695, 107.95066908127],
9256  [0.99999992889, 40.38617729497, 151.59759636142],
9257  [0.99999992820, 71.99999987767, 133.56300056930],
9258  [0.99999992889, -159.17205345516, 119.91237025490],
9259  [0.99999992820, 175.61382259072, 107.95066896391],
9260  [0.99999992889, -125.99999974536, 157.60722887667],
9261  [1.00000000000, 130.38617938691, 115.20885949941],
9262  [0.99999997327, 89.99999999999, 175.82771882380],
9263  [0.99999997215, 107.99999947350, 133.56300153301],
9264  [0.99999992777, -172.92529464641, 143.79152378782],
9265  [0.99999997215, 156.95871783361, 128.05343025469],
9266  [1.00000000000, 139.61381942277, 151.59759710532]
9267  ],
9268  [
9269  [36,33,21,24],
9270  [44,33,36],
9271  [44,43,32,33],
9272  [33,32,19,11,21],
9273  [32,28,19],
9274  [43,41,28,32],
9275  [19,28,22,9],
9276  [22,10,9],
9277  [22,29,20,10],
9278  [28,41,42,29,22],
9279  [29,34,20],
9280  [42,45,34,29],
9281  [47,53,44,36],
9282  [55,53,47],
9283  [55,59,57,53],
9284  [53,57,51,43,44],
9285  [59,58,57],
9286  [56,54,58,59],
9287  [57,58,52,51],
9288  [51,41,43],
9289  [51,52,42,41],
9290  [58,54,46,45,52],
9291  [52,45,42],
9292  [46,35,34,45],
9293  [39,49,55,47],
9294  [37,50,49],
9295  [37,31,40,50],
9296  [49,50,56,59,55],
9297  [31,27,40],
9298  [18,16,27,31],
9299  [50,40,48,56],
9300  [48,54,56],
9301  [48,38,46,54],
9302  [40,27,26,38,48],
9303  [38,35,46],
9304  [26,23,35,38],
9305  [39,30,37,49],
9306  [25,30,39],
9307  [25,14,17,30],
9308  [30,17,18,31,37],
9309  [14,7,17],
9310  [1,2,8,7],
9311  [17,7,8,18],
9312  [8,16,18],
9313  [16,15,26,27],
9314  [8,2,6,15,16],
9315  [15,23,26],
9316  [6,12,23,15],
9317  [24,13,14,25],
9318  [21,13,24],
9319  [21,11,5,13],
9320  [13,5,1,7,14],
9321  [11,3,5],
9322  [19,9,3,11],
9323  [5,3,0,1],
9324  [0,2,1],
9325  [0,4,6,2],
9326  [3,9,10,4,0],
9327  [4,12,6],
9328  [10,20,12,4],
9329  [25,39,47,36,24],
9330  [20,34,35,23,12]
9331  ],
9332  [
9333  [0,1],
9334  [0,2],
9335  [0,3],
9336  [0,4],
9337  [1,2],
9338  [1,5],
9339  [1,7],
9340  [2,6],
9341  [2,8],
9342  [3,5],
9343  [3,9],
9344  [3,11],
9345  [4,6],
9346  [4,10],
9347  [4,12],
9348  [5,11],
9349  [5,13],
9350  [6,12],
9351  [6,15],
9352  [7,8],
9353  [7,14],
9354  [7,17],
9355  [8,16],
9356  [8,18],
9357  [9,10],
9358  [9,19],
9359  [9,22],
9360  [10,20],
9361  [10,22],
9362  [11,19],
9363  [11,21],
9364  [12,20],
9365  [12,23],
9366  [13,14],
9367  [13,21],
9368  [13,24],
9369  [14,17],
9370  [14,25],
9371  [15,16],
9372  [15,23],
9373  [15,26],
9374  [16,18],
9375  [16,27],
9376  [17,18],
9377  [17,30],
9378  [18,31],
9379  [19,28],
9380  [19,32],
9381  [20,29],
9382  [20,34],
9383  [21,24],
9384  [21,33],
9385  [22,28],
9386  [22,29],
9387  [23,26],
9388  [23,35],
9389  [24,25],
9390  [24,36],
9391  [25,30],
9392  [25,39],
9393  [26,27],
9394  [26,38],
9395  [27,31],
9396  [27,40],
9397  [28,32],
9398  [28,41],
9399  [29,34],
9400  [29,42],
9401  [30,37],
9402  [30,39],
9403  [31,37],
9404  [31,40],
9405  [32,33],
9406  [32,43],
9407  [33,36],
9408  [33,44],
9409  [34,35],
9410  [34,45],
9411  [35,38],
9412  [35,46],
9413  [36,44],
9414  [36,47],
9415  [37,49],
9416  [37,50],
9417  [38,46],
9418  [38,48],
9419  [39,47],
9420  [39,49],
9421  [40,48],
9422  [40,50],
9423  [41,42],
9424  [41,43],
9425  [41,51],
9426  [42,45],
9427  [42,52],
9428  [43,44],
9429  [43,51],
9430  [44,53],
9431  [45,46],
9432  [45,52],
9433  [46,54],
9434  [47,53],
9435  [47,55],
9436  [48,54],
9437  [48,56],
9438  [49,50],
9439  [49,55],
9440  [50,56],
9441  [51,52],
9442  [51,57],
9443  [52,58],
9444  [53,55],
9445  [53,57],
9446  [54,56],
9447  [54,58],
9448  [55,59],
9449  [56,59],
9450  [57,58],
9451  [57,59],
9452  [58,59]
9453  ]
9454  ],
9455  [
9456  "paragyrate_diminished_rhombicosidodecahedron",
9457  "Paragyrate Diminished Rhombicosidodecahedron",
9458  "J77",
9459  "johnson",
9460  "Polyhedron Database #121",
9461  [
9462  [-0.89511739413, -0.01066203605, -0.29084127179],
9463  [-0.68380884127, 0.21152092494, -0.58168254359],
9464  [-0.89511739413, 0.21152092494, 0.06865831081],
9465  [-0.55321297349, 0.57102050754, -0.40193275229],
9466  [-0.68380884127, 0.57102050754, -0.00000000000],
9467  [-0.76452152635, -0.37016161865, -0.47059106309],
9468  [-0.89511739413, -0.37016161865, -0.06865831081],
9469  [-0.55321297349, -0.14797865766, -0.76143233488],
9470  [-0.89511739413, -0.14797865766, 0.29084127179],
9471  [-0.34190442064, 0.21152092494, -0.83009064569],
9472  [-0.76452152635, 0.21152092494, 0.47059106309],
9473  [-0.21130855286, 0.57102050754, -0.65034085439],
9474  [-0.34190442064, 0.79320346853, -0.11109148049],
9475  [-0.55321297349, 0.57102050754, 0.40193275229],
9476  [-0.55321297349, -0.72966120124, -0.40193275229],
9477  [-0.68380884127, -0.72966120124, 0.00000000000],
9478  [-0.21130855286, -0.37016161865, -0.87252381538],
9479  [-0.68380884127, -0.37016161865, 0.58168254359],
9480  [ 0.00000000000, 0.79320346853, -0.35949958260],
9481  [ 0.00000000000, -0.01066203605, -0.94118212618],
9482  [-0.21130855286, 0.79320346853, 0.29084127179],
9483  [-0.55321297349, -0.01066203605, 0.76143233488],
9484  [-0.21130855286, -0.72966120124, -0.65034085439],
9485  [-0.55321297349, -0.72966120124, 0.40193275229],
9486  [ 0.21130855286, 0.57102050754, -0.65034085439],
9487  [-0.21130855286, 0.57102050754, 0.65034085439],
9488  [ 0.34190442064, 0.21152092494, -0.83009064569],
9489  [ 0.21130855286, -0.37016161865, -0.87252381538],
9490  [-0.21130855286, 0.21152092494, 0.87252381538],
9491  [-0.34190442064, -0.37016161865, 0.83009064569],
9492  [ 0.34190442064, 0.79320346853, -0.11109148049],
9493  [ 0.21130855286, 0.79320346853, 0.29084127179],
9494  [ 0.21130855286, -0.72966120124, -0.65034085439],
9495  [-0.21130855286, -0.72966120124, 0.65034085439],
9496  [ 0.55321297349, 0.57102050754, -0.40193275229],
9497  [ 0.21130855286, 0.57102050754, 0.65034085439],
9498  [ 0.55321297349, -0.14797865766, -0.76143233488],
9499  [-0.00000000000, -0.14797865766, 0.94118212618],
9500  [ 0.68380884127, 0.21152092494, -0.58168254359],
9501  [ 0.21130855286, 0.21152092494, 0.87252381538],
9502  [ 0.68380884127, 0.57102050754, -0.00000000000],
9503  [ 0.55321297349, 0.57102050754, 0.40193275229],
9504  [ 0.55321297349, -0.72966120124, -0.40193275229],
9505  [ 0.21130855286, -0.72966120124, 0.65034085439],
9506  [ 0.76452152635, -0.37016161865, -0.47059106309],
9507  [ 0.34190442064, -0.37016161865, 0.83009064569],
9508  [ 0.89511739413, -0.01066203605, -0.29084127179],
9509  [ 0.55321297349, -0.01066203605, 0.76143233488],
9510  [ 0.89511739413, 0.21152092494, 0.06865831081],
9511  [ 0.76452152635, 0.21152092494, 0.47059106309],
9512  [ 0.68380884127, -0.72966120124, 0.00000000000],
9513  [ 0.55321297349, -0.72966120124, 0.40193275229],
9514  [ 0.89511739413, -0.37016161865, -0.06865831081],
9515  [ 0.68380884127, -0.37016161865, 0.58168254359],
9516  [ 0.89511739413, -0.14797865766, 0.29084127179]
9517  ],
9518  [
9519  [0.94124251586, -179.31756350391, 107.99880557644],
9520  [0.92232869119, 162.81172019540, 129.09937175186],
9521  [0.92232869119, 166.70459888665, 85.73094312148],
9522  [0.89087538490, 134.09252726870, 116.81852286780],
9523  [0.89087538490, 140.13613772628, 90.00000000001],
9524  [0.97106577369, -154.16493060775, 118.98711799516],
9525  [0.97106577369, -157.53323421366, 94.05442815563],
9526  [0.95274418275, -165.02457730647, 143.05369410523],
9527  [0.95274418275, -170.61290105830, 72.22577748956],
9528  [0.92232869119, 148.25678032571, 154.15732953498],
9529  [0.92232869119, 164.53477767260, 59.32147762346],
9530  [0.89087538490, 110.30720654252, 136.88656564168],
9531  [0.87086835536, 113.31809665424, 97.32884973488],
9532  [0.89087538490, 134.09252726870, 63.18147713221],
9533  [1.00000000000, -127.16859907793, 113.69905988308],
9534  [1.00000000000, -133.14200112376, 89.99999999998],
9535  [0.97106577369, -119.72009459651, 153.96444613297],
9536  [0.97106577369, -151.57228676923, 53.20064626834],
9537  [0.87086835536, 89.99999999999, 114.38121844220],
9538  [0.94124251586, -89.99999999999, 179.35096139266],
9539  [0.87086835536, 104.91709431400, 70.49026741946],
9540  [0.94124251586, -178.89587902827, 36.00505936905],
9541  [1.00000000000, -106.15091992088, 130.56730576486],
9542  [1.00000000000, -127.16859907793, 66.30094011689],
9543  [0.89087538490, 69.69279345746, 136.88656564167],
9544  [0.89087538490, 110.30720654252, 43.11343435834],
9545  [0.92232869119, 31.74321967426, 154.15732953497],
9546  [0.97106577369, -60.27990540348, 153.96444613297],
9547  [0.92232869119, 134.97122238702, 18.91492540417],
9548  [0.97106577369, -132.72750132961, 31.25966748280],
9549  [0.87086835536, 66.68190334573, 97.32884973487],
9550  [0.87086835536, 75.08290568598, 70.49026741946],
9551  [1.00000000000, -73.84908007910, 130.56730576486],
9552  [1.00000000000, -106.15091992089, 49.43269423511],
9553  [0.89087538490, 45.90747273128, 116.81852286780],
9554  [0.89087538490, 69.69279345747, 43.11343435833],
9555  [0.95274418275, -14.97542269352, 143.05369410523],
9556  [0.95274418275, -89.99999999999, 8.93526016570],
9557  [0.92232869119, 17.18827980459, 129.09937175186],
9558  [0.92232869119, 45.02877761297, 18.91492540417],
9559  [0.89087538490, 39.86386227371, 90.00000000000],
9560  [0.89087538490, 45.90747273129, 63.18147713221],
9561  [1.00000000000, -52.83140092206, 113.69905988309],
9562  [1.00000000000, -73.84908007910, 49.43269423511],
9563  [0.97106577369, -25.83506939224, 118.98711799516],
9564  [0.97106577369, -47.27249867039, 31.25966748280],
9565  [0.94124251586, -0.68243649607, 107.99880557644],
9566  [0.94124251586, -1.10412097172, 36.00505936904],
9567  [0.92232869119, 13.29540111334, 85.73094312148],
9568  [0.92232869119, 15.46522232739, 59.32147762346],
9569  [1.00000000000, -46.85799887623, 89.99999999998],
9570  [1.00000000000, -52.83140092206, 66.30094011688],
9571  [0.97106577369, -22.46676578632, 94.05442815563],
9572  [0.97106577369, -28.42771323077, 53.20064626834],
9573  [0.95274418275, -9.38709894169, 72.22577748956]
9574  ],
9575  [
9576  [27,16,22,32],
9577  [19,16,27],
9578  [19,9,7,16],
9579  [16,7,5,14,22],
9580  [9,1,7],
9581  [11,3,1,9],
9582  [7,1,0,5],
9583  [0,6,5],
9584  [0,2,8,6],
9585  [1,3,4,2,0],
9586  [2,10,8],
9587  [4,13,10,2],
9588  [36,26,19,27],
9589  [38,26,36],
9590  [38,34,24,26],
9591  [26,24,11,9,19],
9592  [24,18,11],
9593  [34,30,18,24],
9594  [11,18,12,3],
9595  [12,4,3],
9596  [12,20,13,4],
9597  [18,30,31,20,12],
9598  [20,25,13],
9599  [31,35,25,20],
9600  [44,46,38,36],
9601  [52,46,44],
9602  [52,54,48,46],
9603  [46,48,40,34,38],
9604  [54,49,48],
9605  [53,47,49,54],
9606  [48,49,41,40],
9607  [40,30,34],
9608  [40,41,31,30],
9609  [49,47,39,35,41],
9610  [41,35,31],
9611  [39,28,25,35],
9612  [42,50,52,44],
9613  [32,22,14,15,23,33,43,51,50,42],
9614  [50,51,53,54,52],
9615  [51,43,45,53],
9616  [45,47,53],
9617  [45,37,39,47],
9618  [43,33,29,37,45],
9619  [37,28,39],
9620  [29,21,28,37],
9621  [5,6,15,14],
9622  [23,17,29,33],
9623  [15,6,8,17,23],
9624  [17,21,29],
9625  [8,10,21,17],
9626  [42,44,36,27,32],
9627  [10,13,25,28,21]
9628  ],
9629  [
9630  [0,1],
9631  [0,2],
9632  [0,5],
9633  [0,6],
9634  [1,3],
9635  [1,7],
9636  [1,9],
9637  [2,4],
9638  [2,8],
9639  [2,10],
9640  [3,4],
9641  [3,11],
9642  [3,12],
9643  [4,12],
9644  [4,13],
9645  [5,6],
9646  [5,7],
9647  [5,14],
9648  [6,8],
9649  [6,15],
9650  [7,9],
9651  [7,16],
9652  [8,10],
9653  [8,17],
9654  [9,11],
9655  [9,19],
9656  [10,13],
9657  [10,21],
9658  [11,18],
9659  [11,24],
9660  [12,18],
9661  [12,20],
9662  [13,20],
9663  [13,25],
9664  [14,15],
9665  [14,22],
9666  [15,23],
9667  [16,19],
9668  [16,22],
9669  [16,27],
9670  [17,21],
9671  [17,23],
9672  [17,29],
9673  [18,24],
9674  [18,30],
9675  [19,26],
9676  [19,27],
9677  [20,25],
9678  [20,31],
9679  [21,28],
9680  [21,29],
9681  [22,32],
9682  [23,33],
9683  [24,26],
9684  [24,34],
9685  [25,28],
9686  [25,35],
9687  [26,36],
9688  [26,38],
9689  [27,32],
9690  [27,36],
9691  [28,37],
9692  [28,39],
9693  [29,33],
9694  [29,37],
9695  [30,31],
9696  [30,34],
9697  [30,40],
9698  [31,35],
9699  [31,41],
9700  [32,42],
9701  [33,43],
9702  [34,38],
9703  [34,40],
9704  [35,39],
9705  [35,41],
9706  [36,38],
9707  [36,44],
9708  [37,39],
9709  [37,45],
9710  [38,46],
9711  [39,47],
9712  [40,41],
9713  [40,48],
9714  [41,49],
9715  [42,44],
9716  [42,50],
9717  [43,45],
9718  [43,51],
9719  [44,46],
9720  [44,52],
9721  [45,47],
9722  [45,53],
9723  [46,48],
9724  [46,52],
9725  [47,49],
9726  [47,53],
9727  [48,49],
9728  [48,54],
9729  [49,54],
9730  [50,51],
9731  [50,52],
9732  [51,53],
9733  [52,54],
9734  [53,54]
9735  ]
9736  ],
9737  [
9738  "pentagonal_cupola",
9739  "Pentagonal Cupola",
9740  "J5",
9741  "johnson",
9742  "Polyhedron Database #49",
9743  [
9744  [ 0.30722035250, -0.10767686506, -0.94552702116],
9745  [-0.30722035250, -0.10767686506, -0.94552702116],
9746  [ 0.80431332487, -0.10767686506, -0.58436783636],
9747  [ 0.30722035250, 0.21535373011, -0.42285253878],
9748  [-0.30722035250, 0.21535373011, -0.42285253878],
9749  [-0.80431332487, -0.10767686506, -0.58436783636],
9750  [ 0.99418594475, -0.10767686506, 0.00000000000],
9751  [ 0.49709297237, 0.21535373011, 0.16151529758],
9752  [-0.49709297237, 0.21535373011, 0.16151529758],
9753  [-0.99418594475, -0.10767686506, -0.00000000000],
9754  [ 0.00000000000, 0.21535373011, 0.52267448238],
9755  [ 0.80431332487, -0.10767686506, 0.58436783636],
9756  [-0.80431332487, -0.10767686506, 0.58436783636],
9757  [ 0.30722035250, -0.10767686506, 0.94552702116],
9758  [-0.30722035250, -0.10767686506, 0.94552702116]
9759  ],
9760  [
9761  [1.00000000000, -19.31492121303, 161.00148636537],
9762  [1.00000000000, -160.68507878696, 161.00148636537],
9763  [1.00000000000, -7.62509363515, 125.75834309459],
9764  [0.56530155104, 35.02948816948, 138.41849317790],
9765  [0.56530155104, 144.97051183050, 138.41849317790],
9766  [1.00000000000, -172.37490636484, 125.75834309458],
9767  [1.00000000000, -6.18141426338, 89.99999999999],
9768  [0.56530155104, 23.42352770491, 73.39839025197],
9769  [0.56530155104, 156.57647229507, 73.39839025196],
9770  [1.00000000000, -173.81858573662, 89.99999999999],
9771  [0.56530155104, 89.99999999997, 22.39277092895],
9772  [1.00000000000, -7.62509363516, 54.24165690541],
9773  [1.00000000000, -172.37490636484, 54.24165690540],
9774  [1.00000000000, -19.31492121306, 18.99851363462],
9775  [1.00000000000, -160.68507878694, 18.99851363462]
9776  ],
9777  [
9778  [0,1,5,9,12,14,13,11,6,2],
9779  [7,10,8,4,3],
9780  [1,0,3,4],
9781  [5,1,4],
9782  [9,5,4,8],
9783  [12,9,8],
9784  [14,12,8,10],
9785  [13,14,10],
9786  [11,13,10,7],
9787  [6,11,7],
9788  [2,6,7,3],
9789  [0,2,3]
9790  ],
9791  [
9792  [0,1],
9793  [0,2],
9794  [0,3],
9795  [1,4],
9796  [1,5],
9797  [2,3],
9798  [2,6],
9799  [3,4],
9800  [3,7],
9801  [4,5],
9802  [4,8],
9803  [5,9],
9804  [6,7],
9805  [6,11],
9806  [7,10],
9807  [7,11],
9808  [8,9],
9809  [8,10],
9810  [8,12],
9811  [9,12],
9812  [10,13],
9813  [10,14],
9814  [11,13],
9815  [12,14],
9816  [13,14]
9817  ]
9818  ],
9819  [
9820  "pentagonal_dipyramid",
9821  "Pentagonal Dipyramid",
9822  "J13",
9823  "johnson",
9824  "Polyhedron Database #57",
9825  [
9826  [ 0.00000000000, 0.61803398875, 0.00000000000],
9827  [ 0.00000000000, -0.00000000000, 1.00000000000],
9828  [ 0.95105651630, -0.00000000000, 0.30901699437],
9829  [-0.95105651630, -0.00000000000, 0.30901699437],
9830  [ 0.58778525229, 0.00000000000, -0.80901699437],
9831  [-0.58778525229, -0.00000000000, -0.80901699437],
9832  [ 0.00000000000, -0.61803398875, 0.00000000000]
9833  ],
9834  [
9835  [0.61803398875, 89.99999999999, 89.99999999999],
9836  [1.00000000000, -0.00000000000, 0.00000000000],
9837  [1.00000000000, -0.00000000000, 72.00000000000],
9838  [1.00000000000, -179.99999999999, 72.00000000000],
9839  [1.00000000000, 0.00000000000, 143.99999999999],
9840  [1.00000000000, -179.99999999999, 143.99999999999],
9841  [0.61803398875, -89.99999999999, 89.99999999999]
9842  ],
9843  [
9844  [0,2,1],
9845  [0,5,4],
9846  [0,4,2],
9847  [0,1,3],
9848  [0,3,5],
9849  [6,1,2],
9850  [6,4,5],
9851  [6,2,4],
9852  [6,3,1],
9853  [6,5,3]
9854  ],
9855  [
9856  [0,1],
9857  [0,2],
9858  [0,3],
9859  [0,4],
9860  [0,5],
9861  [1,2],
9862  [1,3],
9863  [1,6],
9864  [2,4],
9865  [2,6],
9866  [3,5],
9867  [3,6],
9868  [4,5],
9869  [4,6],
9870  [5,6]
9871  ]
9872  ],
9873  [
9874  "pentagonal_gyrobicupola",
9875  "Pentagonal Gyrobicupola",
9876  "J31",
9877  "johnson",
9878  "Polyhedron Database #75",
9879  [
9880  [ 0.80901699437, 0.00000000000, 0.58778525229],
9881  [ 0.30901699437, 0.00000000000, 0.95105651630],
9882  [ 1.00000000000, 0.00000000000, -0.00000000000],
9883  [-0.30901699437, 0.00000000000, 0.95105651630],
9884  [ 0.30901699438, -0.32491969623, 0.42532540418],
9885  [ 0.50000000000, 0.32491969623, 0.16245984812],
9886  [ 0.00000000000, 0.32491969623, 0.52573111212],
9887  [ 0.50000000000, -0.32491969623, -0.16245984812],
9888  [-0.30901699437, -0.32491969623, 0.42532540418],
9889  [ 0.80901699437, 0.00000000000, -0.58778525229],
9890  [-0.80901699437, 0.00000000000, 0.58778525229],
9891  [ 0.30901699437, 0.32491969623, -0.42532540418],
9892  [-0.50000000000, 0.32491969623, 0.16245984812],
9893  [-0.00000000000, -0.32491969623, -0.52573111212],
9894  [-0.50000000000, -0.32491969623, -0.16245984812],
9895  [-0.30901699438, 0.32491969623, -0.42532540418],
9896  [ 0.30901699437, -0.00000000000, -0.95105651630],
9897  [-1.00000000000, 0.00000000000, 0.00000000000],
9898  [-0.30901699437, -0.00000000000, -0.95105651630],
9899  [-0.80901699437, -0.00000000000, -0.58778525229]
9900  ],
9901  [
9902  [1.00000000000, 0.00000000001, 54.00000000000],
9903  [1.00000000000, 0.00000000002, 18.00000000000],
9904  [1.00000000000, 0.00000000000, 89.99999999999],
9905  [1.00000000000, 179.99999999997, 18.00000000000],
9906  [0.61803398875, -46.43699940041, 46.51292225447],
9907  [0.61803398875, 33.01739809414, 74.75983771732],
9908  [0.61803398875, 89.99999999999, 31.71747441146],
9909  [0.61803398875, -33.01739809415, 105.24016228267],
9910  [0.61803398875, -133.56300059956, 46.51292225447],
9911  [1.00000000000, 0.00000000000, 125.99999999999],
9912  [1.00000000000, 179.99999999999, 54.00000000000],
9913  [0.61803398875, 46.43699940043, 133.48707774552],
9914  [0.61803398875, 146.98260190584, 74.75983771731],
9915  [0.61803398875, -89.99999999999, 148.28252558853],
9916  [0.61803398875, -146.98260190585, 105.24016228267],
9917  [0.61803398875, 133.56300059958, 133.48707774551],
9918  [1.00000000000, -0.00000000002, 161.99999999999],
9919  [1.00000000000, 179.99999999999, 89.99999999999],
9920  [1.00000000000, -179.99999999997, 161.99999999999],
9921  [1.00000000000, -179.99999999998, 125.99999999999]
9922  ],
9923  [
9924  [13,14,8,4,7],
9925  [0,2,7,4],
9926  [1,0,4],
9927  [3,1,4,8],
9928  [10,3,8],
9929  [17,10,8,14],
9930  [19,17,14],
9931  [18,19,14,13],
9932  [16,18,13],
9933  [9,16,13,7],
9934  [2,9,7],
9935  [12,15,11,5,6],
9936  [0,1,6,5],
9937  [2,0,5],
9938  [9,2,5,11],
9939  [16,9,11],
9940  [18,16,11,15],
9941  [19,18,15],
9942  [17,19,15,12],
9943  [10,17,12],
9944  [3,10,12,6],
9945  [1,3,6]
9946  ],
9947  [
9948  [0,1],
9949  [0,2],
9950  [0,4],
9951  [0,5],
9952  [1,3],
9953  [1,4],
9954  [1,6],
9955  [2,5],
9956  [2,7],
9957  [2,9],
9958  [3,6],
9959  [3,8],
9960  [3,10],
9961  [4,7],
9962  [4,8],
9963  [5,6],
9964  [5,11],
9965  [6,12],
9966  [7,9],
9967  [7,13],
9968  [8,10],
9969  [8,14],
9970  [9,11],
9971  [9,16],
9972  [10,12],
9973  [10,17],
9974  [11,15],
9975  [11,16],
9976  [12,15],
9977  [12,17],
9978  [13,14],
9979  [13,16],
9980  [13,18],
9981  [14,17],
9982  [14,19],
9983  [15,18],
9984  [15,19],
9985  [16,18],
9986  [17,19],
9987  [18,19]
9988  ]
9989  ],
9990  [
9991  "pentagonal_gyrocupolarotunda",
9992  "Pentagonal Gyrocupolarotunda",
9993  "J33",
9994  "johnson",
9995  "Polyhedron Database #77",
9996  [
9997  [ 0.48929794886, -0.52375640567, 0.15898254091],
9998  [ 0.97859589772, -0.20579132385, 0.00000000000],
9999  [ 0.79170071188, -0.20579132385, 0.57520423663],
10000  [ 0.30240276302, -0.52375640567, -0.41622169572],
10001  [ 0.79170071188, -0.20579132385, -0.57520423663],
10002  [-0.00000000000, -0.52375640567, 0.51447830962],
10003  [ 0.30240276302, -0.20579132385, 0.93070000534],
10004  [ 0.30240276302, -0.20579132385, -0.93070000534],
10005  [-0.30240276302, -0.52375640567, -0.41622169572],
10006  [-0.48929794886, -0.52375640567, 0.15898254091],
10007  [ 0.79170071188, 0.30868698577, 0.25723915481],
10008  [-0.30240276302, -0.20579132385, 0.93070000534],
10009  [ 0.48929794886, 0.30868698577, -0.67346085053],
10010  [-0.30240276302, -0.20579132385, -0.93070000534],
10011  [ 0.00000000000, 0.30868698577, 0.83244339144],
10012  [-0.79170071188, -0.20579132385, 0.57520423663],
10013  [ 0.48929794886, 0.62665206759, -0.15898254091],
10014  [-0.79170071188, -0.20579132385, -0.57520423663],
10015  [ 0.30240276302, 0.62665206759, 0.41622169572],
10016  [-0.97859589772, -0.20579132385, 0.00000000000],
10017  [ 0.00000000000, 0.62665206759, -0.51447830962],
10018  [-0.48929794886, 0.30868698577, -0.67346085053],
10019  [-0.30240276302, 0.62665206759, 0.41622169572],
10020  [-0.79170071188, 0.30868698577, 0.25723915481],
10021  [-0.48929794886, 0.62665206759, -0.15898254091]
10022  ],
10023  [
10024  [0.73417212120, -46.94813165232, 77.49371610816],
10025  [1.00000000000, -11.87582630949, 89.99999999999],
10026  [1.00000000000, -14.57076836071, 54.88606373435],
10027  [0.73417212120, -59.99902685056, 124.53618426143],
10028  [1.00000000000, -14.57076836072, 125.11393626563],
10029  [0.73417212120, -89.99999999999, 45.51200522128],
10030  [1.00000000000, -34.23609575664, 21.45580279234],
10031  [1.00000000000, -34.23609575667, 158.54419720764],
10032  [0.73417212120, -120.00097314944, 124.53618426143],
10033  [0.73417212120, -133.05186834768, 77.49371610816],
10034  [0.88783424981, 21.30099109945, 73.15774001182],
10035  [1.00000000000, -145.76390424335, 21.45580279234],
10036  [0.88783424981, 32.24689857204, 139.33595894372],
10037  [1.00000000000, -145.76390424332, 158.54419720764],
10038  [0.88783424981, 89.99999999998, 20.34580761434],
10039  [1.00000000000, -165.42923163929, 54.88606373435],
10040  [0.81079019783, 52.01682666814, 101.30802279485],
10041  [1.00000000000, -165.42923163928, 125.11393626564],
10042  [0.81079019783, 64.23949134904, 59.11255988195],
10043  [1.00000000000, -168.12417369050, 89.99999999999],
10044  [0.81079019783, 89.99999999998, 129.38582952635],
10045  [0.88783424981, 147.75310142795, 139.33595894372],
10046  [0.81079019783, 115.76050865093, 59.11255988196],
10047  [0.88783424981, 158.69900890053, 73.15774001182],
10048  [0.81079019783, 127.98317333184, 101.30802279485]
10049  ],
10050  [
10051  [3,8,9,5,0],
10052  [6,2,0,5],
10053  [11,6,5],
10054  [15,11,5,9],
10055  [19,15,9],
10056  [17,19,9,8],
10057  [13,17,8],
10058  [7,13,8,3],
10059  [4,7,3],
10060  [1,4,3,0],
10061  [2,1,0],
10062  [16,18,22,24,20],
10063  [21,13,7,12,20],
10064  [24,21,20],
10065  [17,13,21],
10066  [23,19,17,21,24],
10067  [22,23,24],
10068  [15,19,23],
10069  [14,11,15,23,22],
10070  [18,14,22],
10071  [6,11,14],
10072  [10,2,6,14,18],
10073  [16,10,18],
10074  [1,2,10],
10075  [12,4,1,10,16],
10076  [20,12,16],
10077  [7,4,12]
10078  ],
10079  [
10080  [0,1],
10081  [0,2],
10082  [0,3],
10083  [0,5],
10084  [1,2],
10085  [1,4],
10086  [1,10],
10087  [2,6],
10088  [2,10],
10089  [3,4],
10090  [3,7],
10091  [3,8],
10092  [4,7],
10093  [4,12],
10094  [5,6],
10095  [5,9],
10096  [5,11],
10097  [6,11],
10098  [6,14],
10099  [7,12],
10100  [7,13],
10101  [8,9],
10102  [8,13],
10103  [8,17],
10104  [9,15],
10105  [9,19],
10106  [10,16],
10107  [10,18],
10108  [11,14],
10109  [11,15],
10110  [12,16],
10111  [12,20],
10112  [13,17],
10113  [13,21],
10114  [14,18],
10115  [14,22],
10116  [15,19],
10117  [15,23],
10118  [16,18],
10119  [16,20],
10120  [17,19],
10121  [17,21],
10122  [18,22],
10123  [19,23],
10124  [20,21],
10125  [20,24],
10126  [21,24],
10127  [22,23],
10128  [22,24],
10129  [23,24]
10130  ]
10131  ],
10132  [
10133  "pentagonal_orthobicupola",
10134  "Pentagonal Orthobicupola",
10135  "J30",
10136  "johnson",
10137  "Polyhedron Database #74",
10138  [
10139  [ 0.30901699438, 0.00000000000, 0.95105651630],
10140  [-0.30901699437, 0.00000000000, 0.95105651630],
10141  [ 0.80901699437, 0.00000000000, 0.58778525229],
10142  [ 0.00000000000, 0.32491969623, 0.52573111212],
10143  [-0.00000000000, -0.32491969623, 0.52573111212],
10144  [-0.80901699437, 0.00000000000, 0.58778525229],
10145  [ 0.50000000000, 0.32491969623, 0.16245984812],
10146  [ 0.50000000000, -0.32491969623, 0.16245984812],
10147  [ 1.00000000000, 0.00000000000, -0.00000000000],
10148  [-0.50000000000, 0.32491969623, 0.16245984812],
10149  [-0.50000000000, -0.32491969623, 0.16245984812],
10150  [-1.00000000000, 0.00000000000, 0.00000000000],
10151  [ 0.30901699437, 0.32491969623, -0.42532540418],
10152  [ 0.30901699437, -0.32491969623, -0.42532540418],
10153  [ 0.80901699437, -0.00000000000, -0.58778525229],
10154  [-0.30901699438, 0.32491969623, -0.42532540418],
10155  [-0.30901699438, -0.32491969623, -0.42532540418],
10156  [-0.80901699437, -0.00000000000, -0.58778525229],
10157  [ 0.30901699437, -0.00000000000, -0.95105651630],
10158  [-0.30901699438, 0.00000000000, -0.95105651630]
10159  ],
10160  [
10161  [1.00000000000, 0.00000000000, 18.00000000000],
10162  [1.00000000000, 179.99999999999, 17.99999999999],
10163  [1.00000000000, 0.00000000001, 54.00000000000],
10164  [0.61803398875, 89.99999999998, 31.71747441146],
10165  [0.61803398875, -89.99999999999, 31.71747441146],
10166  [1.00000000000, 179.99999999998, 53.99999999999],
10167  [0.61803398875, 33.01739809414, 74.75983771732],
10168  [0.61803398875, -33.01739809414, 74.75983771731],
10169  [1.00000000000, 0.00000000000, 90.00000000000],
10170  [0.61803398875, 146.98260190585, 74.75983771731],
10171  [0.61803398875, -146.98260190585, 74.75983771731],
10172  [1.00000000000, 179.99999999999, 89.99999999999],
10173  [0.61803398875, 46.43699940043, 133.48707774551],
10174  [0.61803398875, -46.43699940043, 133.48707774551],
10175  [1.00000000000, -0.00000000001, 125.99999999999],
10176  [0.61803398875, 133.56300059957, 133.48707774552],
10177  [0.61803398875, -133.56300059957, 133.48707774551],
10178  [1.00000000000, -179.99999999998, 125.99999999999],
10179  [1.00000000000, -0.00000000002, 162.00000000000],
10180  [1.00000000000, 179.99999999999, 161.99999999999]
10181  ],
10182  [
10183  [13,16,10,4,7],
10184  [0,2,7,4],
10185  [1,0,4],
10186  [5,1,4,10],
10187  [11,5,10],
10188  [17,11,10,16],
10189  [19,17,16],
10190  [18,19,16,13],
10191  [14,18,13],
10192  [8,14,13,7],
10193  [2,8,7],
10194  [9,15,12,6,3],
10195  [2,0,3,6],
10196  [8,2,6],
10197  [14,8,6,12],
10198  [18,14,12],
10199  [19,18,12,15],
10200  [17,19,15],
10201  [11,17,15,9],
10202  [5,11,9],
10203  [1,5,9,3],
10204  [0,1,3]
10205  ],
10206  [
10207  [0,1],
10208  [0,2],
10209  [0,3],
10210  [0,4],
10211  [1,3],
10212  [1,4],
10213  [1,5],
10214  [2,6],
10215  [2,7],
10216  [2,8],
10217  [3,6],
10218  [3,9],
10219  [4,7],
10220  [4,10],
10221  [5,9],
10222  [5,10],
10223  [5,11],
10224  [6,8],
10225  [6,12],
10226  [7,8],
10227  [7,13],
10228  [8,14],
10229  [9,11],
10230  [9,15],
10231  [10,11],
10232  [10,16],
10233  [11,17],
10234  [12,14],
10235  [12,15],
10236  [12,18],
10237  [13,14],
10238  [13,16],
10239  [13,18],
10240  [14,18],
10241  [15,17],
10242  [15,19],
10243  [16,17],
10244  [16,19],
10245  [17,19],
10246  [18,19]
10247  ]
10248  ],
10249  [
10250  "pentagonal_orthobirotunda",
10251  "Pentagonal Orthobirotunda",
10252  "J34",
10253  "johnson",
10254  "Polyhedron Database #78",
10255  [
10256  [ 0.80901699437, -0.52573111212, 0.26286555606],
10257  [ 1.00000000000, -0.00000000000, 0.00000000000],
10258  [ 0.50000000000, -0.85065080835, -0.16245984812],
10259  [ 0.80901699437, -0.00000000000, 0.58778525229],
10260  [ 0.30901699437, -0.85065080835, 0.42532540418],
10261  [ 0.80901699437, -0.00000000000, -0.58778525229],
10262  [ 0.50000000000, -0.52573111212, -0.68819096024],
10263  [ 0.80901699437, 0.52573111212, 0.26286555606],
10264  [ 0.30901699438, 0.00000000000, 0.95105651630],
10265  [-0.00000000000, -0.85065080835, -0.52573111212],
10266  [-0.00000000000, -0.52573111212, 0.85065080835],
10267  [ 0.30901699437, -0.00000000000, -0.95105651630],
10268  [ 0.50000000000, 0.52573111212, -0.68819096024],
10269  [-0.30901699438, -0.85065080835, 0.42532540418],
10270  [ 0.50000000000, 0.85065080835, -0.16245984812],
10271  [ 0.30901699438, 0.85065080835, 0.42532540418],
10272  [-0.50000000000, -0.85065080835, -0.16245984812],
10273  [ 0.00000000000, 0.52573111212, 0.85065080835],
10274  [-0.30901699437, 0.00000000000, 0.95105651630],
10275  [-0.50000000000, -0.52573111212, -0.68819096024],
10276  [-0.30901699438, 0.00000000000, -0.95105651630],
10277  [ 0.00000000000, 0.85065080835, -0.52573111212],
10278  [-0.80901699437, -0.52573111212, 0.26286555606],
10279  [-0.30901699437, 0.85065080835, 0.42532540418],
10280  [-0.80901699437, 0.00000000000, 0.58778525229],
10281  [-0.50000000000, 0.52573111212, -0.68819096024],
10282  [-0.80901699437, 0.00000000000, -0.58778525229],
10283  [-0.50000000000, 0.85065080835, -0.16245984812],
10284  [-1.00000000000, 0.00000000000, 0.00000000000],
10285  [-0.80901699437, 0.52573111212, 0.26286555606]
10286  ],
10287  [
10288  [1.00000000000, -33.01739809414, 74.75983771732],
10289  [1.00000000000, -0.00000000001, 89.99999999999],
10290  [1.00000000000, -59.55361568294, 99.34970354257],
10291  [1.00000000000, -0.00000000001, 54.00000000000],
10292  [1.00000000000, -70.03537125612, 64.82873782805],
10293  [1.00000000000, -0.00000000001, 125.99999999999],
10294  [1.00000000000, -46.43699940043, 133.48707774551],
10295  [1.00000000000, 33.01739809413, 74.75983771732],
10296  [1.00000000000, 0.00000000000, 18.00000000000],
10297  [1.00000000000, -90.00000000000, 121.71747441145],
10298  [1.00000000000, -90.00000000000, 31.71747441146],
10299  [1.00000000000, -0.00000000002, 161.99999999999],
10300  [1.00000000000, 46.43699940041, 133.48707774551],
10301  [1.00000000000, -109.96462874389, 64.82873782806],
10302  [1.00000000000, 59.55361568292, 99.34970354257],
10303  [1.00000000000, 70.03537125611, 64.82873782806],
10304  [1.00000000000, -120.44638431706, 99.34970354256],
10305  [1.00000000000, 89.99999999998, 31.71747441146],
10306  [1.00000000000, 179.99999999997, 18.00000000000],
10307  [1.00000000000, -133.56300059957, 133.48707774551],
10308  [1.00000000000, 179.99999999999, 161.99999999999],
10309  [1.00000000000, 89.99999999998, 121.71747441145],
10310  [1.00000000000, -146.98260190586, 74.75983771731],
10311  [1.00000000000, 109.96462874387, 64.82873782806],
10312  [1.00000000000, 179.99999999998, 54.00000000000],
10313  [1.00000000000, 133.56300059956, 133.48707774552],
10314  [1.00000000000, 179.99999999998, 125.99999999999],
10315  [1.00000000000, 120.44638431705, 99.34970354257],
10316  [1.00000000000, 179.99999999998, 89.99999999999],
10317  [1.00000000000, 146.98260190584, 74.75983771732]
10318  ],
10319  [
10320  [23,27,21,14,15],
10321  [7,3,8,17,15],
10322  [14,7,15],
10323  [1,3,7],
10324  [12,5,1,7,14],
10325  [21,12,14],
10326  [11,5,12],
10327  [25,20,11,12,21],
10328  [27,25,21],
10329  [26,20,25],
10330  [29,28,26,25,27],
10331  [23,29,27],
10332  [24,28,29],
10333  [17,18,24,29,23],
10334  [15,17,23],
10335  [8,18,17],
10336  [2,9,16,13,4],
10337  [10,8,3,0,4],
10338  [13,10,4],
10339  [18,8,10],
10340  [22,24,18,10,13],
10341  [16,22,13],
10342  [28,24,22],
10343  [19,26,28,22,16],
10344  [9,19,16],
10345  [20,26,19],
10346  [6,11,20,19,9],
10347  [2,6,9],
10348  [5,11,6],
10349  [0,1,5,6,2],
10350  [4,0,2],
10351  [3,1,0]
10352  ],
10353  [
10354  [0,1],
10355  [0,2],
10356  [0,3],
10357  [0,4],
10358  [1,3],
10359  [1,5],
10360  [1,7],
10361  [2,4],
10362  [2,6],
10363  [2,9],
10364  [3,7],
10365  [3,8],
10366  [4,10],
10367  [4,13],
10368  [5,6],
10369  [5,11],
10370  [5,12],
10371  [6,9],
10372  [6,11],
10373  [7,14],
10374  [7,15],
10375  [8,10],
10376  [8,17],
10377  [8,18],
10378  [9,16],
10379  [9,19],
10380  [10,13],
10381  [10,18],
10382  [11,12],
10383  [11,20],
10384  [12,14],
10385  [12,21],
10386  [13,16],
10387  [13,22],
10388  [14,15],
10389  [14,21],
10390  [15,17],
10391  [15,23],
10392  [16,19],
10393  [16,22],
10394  [17,18],
10395  [17,23],
10396  [18,24],
10397  [19,20],
10398  [19,26],
10399  [20,25],
10400  [20,26],
10401  [21,25],
10402  [21,27],
10403  [22,24],
10404  [22,28],
10405  [23,27],
10406  [23,29],
10407  [24,28],
10408  [24,29],
10409  [25,26],
10410  [25,27],
10411  [26,28],
10412  [27,29],
10413  [28,29]
10414  ]
10415  ],
10416  [
10417  "pentagonal_orthocupolarontunda",
10418  "Pentagonal Orthocupolarontunda",
10419  "J32",
10420  "johnson",
10421  "Polyhedron Database #76",
10422  [
10423  [-0.97859589772, -0.20579132385, 0.00000000000],
10424  [-0.79170071188, -0.20579132385, 0.57520423663],
10425  [-0.79170071188, -0.20579132385, -0.57520423663],
10426  [-0.48929794886, -0.52375640567, -0.15898254091],
10427  [-0.79170071188, 0.30868698577, 0.25723915481],
10428  [-0.30240276302, -0.52375640567, 0.41622169572],
10429  [-0.30240276302, -0.20579132385, 0.93070000534],
10430  [-0.30240276302, -0.20579132385, -0.93070000534],
10431  [-0.48929794886, 0.30868698577, -0.67346085053],
10432  [ 0.00000000000, -0.52375640567, -0.51447830962],
10433  [-0.48929794886, 0.62665206759, -0.15898254091],
10434  [-0.30240276302, 0.62665206759, 0.41622169572],
10435  [ 0.30240276302, -0.52375640567, 0.41622169572],
10436  [-0.00000000000, 0.30868698577, 0.83244339144],
10437  [ 0.30240276302, -0.20579132385, 0.93070000534],
10438  [ 0.48929794886, -0.52375640567, -0.15898254091],
10439  [ 0.30240276302, -0.20579132385, -0.93070000534],
10440  [-0.00000000000, 0.62665206759, -0.51447830962],
10441  [ 0.30240276302, 0.62665206759, 0.41622169572],
10442  [ 0.79170071188, -0.20579132385, 0.57520423663],
10443  [ 0.48929794886, 0.30868698577, -0.67346085053],
10444  [ 0.79170071188, -0.20579132385, -0.57520423663],
10445  [ 0.48929794886, 0.62665206759, -0.15898254091],
10446  [ 0.97859589772, -0.20579132385, 0.00000000000],
10447  [ 0.79170071188, 0.30868698577, 0.25723915481]
10448  ],
10449  [
10450  [1.00000000000, -168.12417369050, 89.99999999999],
10451  [1.00000000000, -165.42923163927, 54.88606373436],
10452  [1.00000000000, -165.42923163928, 125.11393626564],
10453  [0.73417212120, -133.05186834767, 102.50628389183],
10454  [0.88783424981, 158.69900890054, 73.15774001182],
10455  [0.73417212120, -120.00097314944, 55.46381573856],
10456  [1.00000000000, -145.76390424332, 21.45580279235],
10457  [1.00000000000, -145.76390424334, 158.54419720765],
10458  [0.88783424981, 147.75310142793, 139.33595894371],
10459  [0.73417212120, -89.99999999998, 134.48799477872],
10460  [0.81079019783, 127.98317333184, 101.30802279484],
10461  [0.81079019783, 115.76050865095, 59.11255988195],
10462  [0.73417212120, -59.99902685056, 55.46381573856],
10463  [0.88783424981, 90.00000000001, 20.34580761433],
10464  [1.00000000000, -34.23609575666, 21.45580279234],
10465  [0.73417212120, -46.94813165231, 102.50628389183],
10466  [1.00000000000, -34.23609575664, 158.54419720764],
10467  [0.81079019783, 89.99999999999, 129.38582952634],
10468  [0.81079019783, 64.23949134905, 59.11255988195],
10469  [1.00000000000, -14.57076836071, 54.88606373435],
10470  [0.88783424981, 32.24689857206, 139.33595894371],
10471  [1.00000000000, -14.57076836070, 125.11393626564],
10472  [0.81079019783, 52.01682666816, 101.30802279484],
10473  [1.00000000000, -11.87582630949, 89.99999999999],
10474  [0.88783424981, 21.30099109945, 73.15774001182]
10475  ],
10476  [
10477  [12,15,9,3,5],
10478  [0,1,5,3],
10479  [2,0,3],
10480  [7,2,3,9],
10481  [16,7,9],
10482  [21,16,9,15],
10483  [23,21,15],
10484  [19,23,15,12],
10485  [14,19,12],
10486  [6,14,12,5],
10487  [1,6,5],
10488  [11,10,17,22,18],
10489  [24,19,14,13,18],
10490  [22,24,18],
10491  [23,19,24],
10492  [20,21,23,24,22],
10493  [17,20,22],
10494  [16,21,20],
10495  [8,7,16,20,17],
10496  [10,8,17],
10497  [2,7,8],
10498  [4,0,2,8,10],
10499  [11,4,10],
10500  [1,0,4],
10501  [13,6,1,4,11],
10502  [18,13,11],
10503  [14,6,13]
10504  ],
10505  [
10506  [0,1],
10507  [0,2],
10508  [0,3],
10509  [0,4],
10510  [1,4],
10511  [1,5],
10512  [1,6],
10513  [2,3],
10514  [2,7],
10515  [2,8],
10516  [3,5],
10517  [3,9],
10518  [4,10],
10519  [4,11],
10520  [5,6],
10521  [5,12],
10522  [6,13],
10523  [6,14],
10524  [7,8],
10525  [7,9],
10526  [7,16],
10527  [8,10],
10528  [8,17],
10529  [9,15],
10530  [9,16],
10531  [10,11],
10532  [10,17],
10533  [11,13],
10534  [11,18],
10535  [12,14],
10536  [12,15],
10537  [12,19],
10538  [13,14],
10539  [13,18],
10540  [14,19],
10541  [15,21],
10542  [15,23],
10543  [16,20],
10544  [16,21],
10545  [17,20],
10546  [17,22],
10547  [18,22],
10548  [18,24],
10549  [19,23],
10550  [19,24],
10551  [20,21],
10552  [20,22],
10553  [21,23],
10554  [22,24],
10555  [23,24]
10556  ]
10557  ],
10558  [
10559  "pentagonal_pyramid",
10560  "Pentagonal Pyramid",
10561  "J2",
10562  "johnson",
10563  "Polyhedron Database #46",
10564  [
10565  [ 0.00000000000, 0.51231760759, 0.00000000000],
10566  [ 0.00000000000, -0.10246352152, 0.99473676254],
10567  [ 0.94605088002, -0.10246352152, 0.30739056456],
10568  [-0.94605088002, -0.10246352152, 0.30739056456],
10569  [ 0.58469159894, -0.10246352152, -0.80475894583],
10570  [-0.58469159894, -0.10246352152, -0.80475894583]
10571  ],
10572  [
10573  [0.51231760759, 89.99999999999, 89.99999999999],
10574  [1.00000000000, -89.99999999999, 5.88104874729],
10575  [1.00000000000, -6.18141426337, 72.09795604403],
10576  [1.00000000000, -173.81858573661, 72.09795604404],
10577  [1.00000000000, -9.93979324212, 143.58698182134],
10578  [1.00000000000, -170.06020675786, 143.58698182134]
10579  ],
10580  [
10581  [0,2,1],
10582  [0,5,4],
10583  [0,4,2],
10584  [0,1,3],
10585  [0,3,5],
10586  [1,2,4,5,3]
10587  ],
10588  [
10589  [0,1],
10590  [0,2],
10591  [0,3],
10592  [0,4],
10593  [0,5],
10594  [1,2],
10595  [1,3],
10596  [2,4],
10597  [3,5],
10598  [4,5]
10599  ]
10600  ],
10601  [
10602  "pentagonal_rotunda",
10603  "Pentagonal Rotunda",
10604  "J6",
10605  "johnson",
10606  "Polyhedron Database #50",
10607  [
10608  [-0.29220218217, -0.32537191156, -0.89930584559],
10609  [-0.47279306233, 0.17175213337, -0.65074382312],
10610  [-0.76499524450, -0.32537191156, -0.55580157885],
10611  [ 0.29220218217, -0.32537191156, -0.89930584559],
10612  [-0.00000000000, 0.47899168976, -0.49712404493],
10613  [ 0.47279306233, 0.17175213337, -0.65074382312],
10614  [-0.47279306233, 0.47899168976, -0.15361977820],
10615  [-0.94558612467, -0.32537191156, -0.00000000000],
10616  [ 0.76499524450, -0.32537191156, -0.55580157885],
10617  [ 0.47279306233, 0.47899168976, -0.15361977819],
10618  [-0.76499524450, 0.17175213337, 0.24856202246],
10619  [-0.29220218217, 0.47899168976, 0.40218180066],
10620  [ 0.29220218217, 0.47899168976, 0.40218180066],
10621  [-0.76499524450, -0.32537191156, 0.55580157885],
10622  [ 0.94558612467, -0.32537191156, 0.00000000000],
10623  [ 0.76499524450, 0.17175213337, 0.24856202246],
10624  [-0.00000000000, 0.17175213337, 0.80436360132],
10625  [-0.29220218217, -0.32537191156, 0.89930584559],
10626  [ 0.76499524450, -0.32537191156, 0.55580157885],
10627  [ 0.29220218217, -0.32537191156, 0.89930584559]
10628  ],
10629  [
10630  [1.00000000000, -131.92561392578, 154.06697321909],
10631  [0.82249595649, 160.03537125611, 142.29608915044],
10632  [1.00000000000, -156.95871796350, 123.76594330353],
10633  [1.00000000000, -48.07438607416, 154.06697321908],
10634  [0.69033713133, 89.99999999999, 136.06420572229],
10635  [0.82249595649, 19.96462874388, 142.29608915042],
10636  [0.69033713133, 134.62685873238, 102.85759532880],
10637  [1.00000000000, -161.01189134548, 90.00000000000],
10638  [1.00000000000, -23.04128203647, 123.76594330352],
10639  [0.69033713133, 45.37314126762, 102.85759532877],
10640  [0.82249595649, 167.34612388850, 72.40993812016],
10641  [0.69033713133, 121.38469498319, 54.36725809145],
10642  [0.69033713133, 58.61530501681, 54.36725809145],
10643  [1.00000000000, -156.95871796352, 56.23405669646],
10644  [1.00000000000, -18.98810865450, 89.99999999999],
10645  [0.82249595649, 12.65387611150, 72.40993812013],
10646  [0.82249595649, 89.99999999999, 12.05310532627],
10647  [1.00000000000, -131.92561392583, 25.93302678090],
10648  [1.00000000000, -23.04128203647, 56.23405669645],
10649  [1.00000000000, -48.07438607417, 25.93302678088]
10650  ],
10651  [
10652  [7,13,17,19,18,14,8,3,0,2],
10653  [6,4,9,12,11],
10654  [16,17,13,10,11],
10655  [12,16,11],
10656  [19,17,16],
10657  [15,18,19,16,12],
10658  [9,15,12],
10659  [14,18,15],
10660  [5,8,14,15,9],
10661  [4,5,9],
10662  [3,8,5],
10663  [1,0,3,5,4],
10664  [6,1,4],
10665  [2,0,1],
10666  [10,7,2,1,6],
10667  [11,10,6],
10668  [13,7,10]
10669  ],
10670  [
10671  [0,1],
10672  [0,2],
10673  [0,3],
10674  [1,2],
10675  [1,4],
10676  [1,6],
10677  [2,7],
10678  [3,5],
10679  [3,8],
10680  [4,5],
10681  [4,6],
10682  [4,9],
10683  [5,8],
10684  [5,9],
10685  [6,10],
10686  [6,11],
10687  [7,10],
10688  [7,13],
10689  [8,14],
10690  [9,12],
10691  [9,15],
10692  [10,11],
10693  [10,13],
10694  [11,12],
10695  [11,16],
10696  [12,15],
10697  [12,16],
10698  [13,17],
10699  [14,15],
10700  [14,18],
10701  [15,18],
10702  [16,17],
10703  [16,19],
10704  [17,19],
10705  [18,19]
10706  ]
10707  ],
10708  [
10709  "snub_disphenoid",
10710  "Snub Disphenoid",
10711  "J84",
10712  "johnson",
10713  "Polyhedron Database #128",
10714  [
10715  [ 0.00000000000, -0.84283351224, -0.53775339178],
10716  [ 0.69326703905, -0.22094137669, 0.00026677772],
10717  [-0.00000000000, -0.84310218220, 0.53775339178],
10718  [ 0.00028497351, 0.22102981081, -0.69305025916],
10719  [-0.00014605391, 0.22110974715, 0.69321339349],
10720  [ 0.53754860652, 0.84323276157, 0.00007378079],
10721  [-0.69299662942, -0.22119808183, -0.00002037069],
10722  [-0.53795793575, 0.84270283344, -0.00048332214]
10723  ],
10724  [
10725  [0.99977349421, -89.99999999999, 122.53911291991],
10726  [0.72762239557, -17.67686815088, 89.97899289847],
10727  [1.00000000000, -89.99999999999, 57.46916694571],
10728  [0.72744272641, 89.92612865103, 162.31129699367],
10729  [0.72762239557, 90.03784668607, 17.69078660021],
10730  [1.00000000000, 57.48308262375, 89.99577267229],
10731  [0.72744272641, -162.29740035216, 90.00160446282],
10732  [0.99977349421, 122.55302315979, 90.02769859374]
10733  ],
10734  [
10735  [3,7,6],
10736  [5,7,3],
10737  [1,5,3],
10738  [6,7,4],
10739  [5,4,7],
10740  [1,4,5],
10741  [1,2,4],
10742  [0,2,1],
10743  [3,0,1],
10744  [4,2,6],
10745  [0,6,2],
10746  [3,6,0]
10747  ],
10748  [
10749  [0,1],
10750  [0,2],
10751  [0,3],
10752  [0,6],
10753  [1,2],
10754  [1,3],
10755  [1,4],
10756  [1,5],
10757  [2,4],
10758  [2,6],
10759  [3,5],
10760  [3,6],
10761  [3,7],
10762  [4,5],
10763  [4,6],
10764  [4,7],
10765  [5,7],
10766  [6,7]
10767  ]
10768  ],
10769  [
10770  "snub_square_antiprism",
10771  "Snub Square Antiprism",
10772  "J85",
10773  "johnson",
10774  "Polyhedron Database #129",
10775  [
10776  [ 0.69897419247, -0.15122858467, -0.69897424376],
10777  [ 0.00000000000, 0.15122995753, -0.98849860898],
10778  [ 0.40739112242, 0.55150159459, -0.40739099521],
10779  [ 0.98849856935, 0.15122947501, -0.00000010945],
10780  [ 0.00000025688, -0.55150079443, -0.57613872651],
10781  [-0.40739178266, 0.55150112587, -0.40739076769],
10782  [ 0.57613858381, -0.55150079443, -0.00000001868],
10783  [-0.69897384132, -0.15122890635, -0.69897436488],
10784  [ 0.40739134994, 0.55150046300, 0.40739190987],
10785  [ 0.69897407135, -0.15122936127, 0.69897379003],
10786  [-0.40739155514, 0.55149999428, 0.40739213739],
10787  [-0.57613845095, -0.55150079443, -0.00000039958],
10788  [-0.98849849952, 0.15122879262, -0.00000003963],
10789  [-0.00000012402, -0.55150079443, 0.57613830825],
10790  [ 0.00000006983, 0.15122831010, 0.98849845990],
10791  [-0.69897396243, -0.15122968295, 0.69897366891]
10792  ],
10793  [
10794  [1.00000000000, -12.20822353109, 134.34476525818],
10795  [1.00000000000, 89.99999999999, 171.30178888258],
10796  [0.79755185314, 53.54692658375, 120.71725810997],
10797  [0.99999988786, 8.69818413241, 90.00000627123],
10798  [0.79755185314, -89.99997331269, 136.25166325658],
10799  [0.79755175005, 126.45314106607, 120.71724349746],
10800  [0.79755175005, -43.74834383206, 90.00000134168],
10801  [0.99999988786, -167.79174533025, 134.34478124187],
10802  [0.79755165408, 53.54685510687, 59.28265696064],
10803  [0.99999971564, -12.20828639554, 45.65525516955],
10804  [0.79755155100, 126.45318195780, 59.28263354814],
10805  [0.79755165408, -136.25164956798, 90.00002870530],
10806  [0.99999971564, 171.30185391070, 90.00000227042],
10807  [0.79755155100, -90.00001288452, 43.74835752067],
10808  [0.99999960350, 89.99997354423, 8.69811910429],
10809  [0.99999960350, -167.79168656983, 45.65525859340]
10810  ],
10811  [
10812  [6,4,11,13],
10813  [14,9,13],
10814  [6,13,9],
10815  [3,6,9],
10816  [12,15,11],
10817  [13,11,15],
10818  [14,13,15],
10819  [1,7,4],
10820  [11,4,7],
10821  [12,11,7],
10822  [3,0,6],
10823  [4,6,0],
10824  [1,4,0],
10825  [8,10,5,2],
10826  [0,3,2],
10827  [8,2,3],
10828  [9,8,3],
10829  [7,1,5],
10830  [2,5,1],
10831  [0,2,1],
10832  [15,12,10],
10833  [5,10,12],
10834  [7,5,12],
10835  [9,14,8],
10836  [10,8,14],
10837  [15,10,14]
10838  ],
10839  [
10840  [0,1],
10841  [0,2],
10842  [0,3],
10843  [0,4],
10844  [0,6],
10845  [1,2],
10846  [1,4],
10847  [1,5],
10848  [1,7],
10849  [2,3],
10850  [2,5],
10851  [2,8],
10852  [3,6],
10853  [3,8],
10854  [3,9],
10855  [4,6],
10856  [4,7],
10857  [4,11],
10858  [5,7],
10859  [5,10],
10860  [5,12],
10861  [6,9],
10862  [6,13],
10863  [7,11],
10864  [7,12],
10865  [8,9],
10866  [8,10],
10867  [8,14],
10868  [9,13],
10869  [9,14],
10870  [10,12],
10871  [10,14],
10872  [10,15],
10873  [11,12],
10874  [11,13],
10875  [11,15],
10876  [12,15],
10877  [13,14],
10878  [13,15],
10879  [14,15]
10880  ]
10881  ],
10882  [
10883  "sphenocorona",
10884  "Sphenocorona",
10885  "J86",
10886  "johnson",
10887  "Polyhedron Database #130",
10888  [
10889  [-0.85403606889, -0.14090095692, -0.50076872245],
10890  [-0.85403606889, -0.14090095692, 0.50076872245],
10891  [-0.50076681316, 0.65125231843, 0.00000029828],
10892  [-0.00000018523, 0.29461011438, -0.79064155301],
10893  [-0.00000000000, -0.66406067604, -0.50076783510],
10894  [ 0.00000000000, -0.66406067604, 0.50076783510],
10895  [-0.00000007600, 0.29461011438, 0.79064155301],
10896  [ 0.50076740481, 0.65125209317, -0.00000029828],
10897  [ 0.85403590368, -0.14090068722, -0.50076783510],
10898  [ 0.85403590368, -0.14090068722, 0.50076783510]
10899  ],
10900  [
10901  [1.00000000000, -170.63159419601, 120.05087131307],
10902  [1.00000000000, -170.63159419601, 59.94912868691],
10903  [0.82152113997, 127.55772895056, 89.99997919682],
10904  [0.84374710954, 90.00003602392, 159.56352007927],
10905  [0.83171209329, -89.99999999999, 127.01992849259],
10906  [0.83171209329, -89.99999999999, 52.98007150740],
10907  [0.84374710954, 90.00001478077, 20.43647992072],
10908  [0.82152132205, 52.44222876176, 90.00002080316],
10909  [0.99999937655, -9.36838996980, 120.05083324218],
10910  [0.99999937655, -9.36838996980, 59.94916675783]
10911  ],
10912  [
10913  [5,4,0,1],
10914  [9,8,4,5],
10915  [2,3,7],
10916  [6,1,2],
10917  [0,3,2],
10918  [1,0,2],
10919  [6,5,1],
10920  [9,5,6],
10921  [0,4,3],
10922  [8,3,4],
10923  [6,7,9],
10924  [7,8,9],
10925  [3,8,7],
10926  [2,7,6]
10927  ],
10928  [
10929  [0,1],
10930  [0,2],
10931  [0,3],
10932  [0,4],
10933  [1,2],
10934  [1,5],
10935  [1,6],
10936  [2,3],
10937  [2,6],
10938  [2,7],
10939  [3,4],
10940  [3,7],
10941  [3,8],
10942  [4,5],
10943  [4,8],
10944  [5,6],
10945  [5,9],
10946  [6,7],
10947  [6,9],
10948  [7,8],
10949  [7,9],
10950  [8,9]
10951  ]
10952  ],
10953  [
10954  "sphenomegacorona",
10955  "Sphenomegacorona",
10956  "J88",
10957  "johnson",
10958  "Polyhedron Database #132",
10959  [
10960  [-0.38062673459, -0.07568233029, -0.45266707378],
10961  [-0.65067556375, 0.47356515451, -0.00000000115],
10962  [ 0.00000002502, 0.57963465654, -0.38062644927],
10963  [-0.97676588021, -0.21430915812, -0.00000007292],
10964  [ 0.38062679410, -0.07568233029, -0.45266702374],
10965  [-0.38062676435, -0.68772767221, -0.00000005004],
10966  [-0.00000002502, 0.58003807863, 0.38062644927],
10967  [-0.38062679410, -0.07568236147, 0.45266701586],
10968  [ 0.65067556375, 0.47356515451, 0.00000008439],
10969  [ 0.38062676435, -0.68772767221, 0.00000000000],
10970  [ 0.38062673459, -0.07568236147, 0.45266706590],
10971  [ 0.97676588021, -0.21430915812, 0.00000005549]
10972  ],
10973  [
10974  [0.59624827538, -168.75420429327, 139.39304068534],
10975  [0.80476247727, 143.95267199098, 90.00000008217],
10976  [0.69343552617, 89.99999752684, 123.29155031251],
10977  [1.00000000000, -167.62499970338, 90.00000417805],
10978  [0.59624827538, -11.24579399326, 139.39303329753],
10979  [0.78603185995, -118.96258267297, 90.00000364750],
10980  [0.69377277732, 90.00000247142, 56.72673733898],
10981  [0.59624827335, -168.75420149171, 40.60696763902],
10982  [0.80476247727, 36.04732800900, 89.99999399195],
10983  [0.78603185995, -61.03741732702, 89.99999999999],
10984  [0.59624827335, -11.24580022175, 40.60696025120],
10985  [1.00000000000, -12.37500029661, 89.99999682062]
10986  ],
10987  [
10988  [10,9,5,7],
10989  [10,7,6],
10990  [1,7,3],
10991  [7,5,3],
10992  [8,11,10],
10993  [11,9,10],
10994  [6,7,1],
10995  [8,10,6],
10996  [0,5,9,4],
10997  [0,4,2],
10998  [8,4,11],
10999  [4,9,11],
11000  [1,3,0],
11001  [3,5,0],
11002  [6,2,8],
11003  [2,4,8],
11004  [6,1,2],
11005  [1,0,2]
11006  ],
11007  [
11008  [0,1],
11009  [0,2],
11010  [0,3],
11011  [0,4],
11012  [0,5],
11013  [1,2],
11014  [1,3],
11015  [1,6],
11016  [1,7],
11017  [2,4],
11018  [2,6],
11019  [2,8],
11020  [3,5],
11021  [3,7],
11022  [4,8],
11023  [4,9],
11024  [4,11],
11025  [5,7],
11026  [5,9],
11027  [6,7],
11028  [6,8],
11029  [6,10],
11030  [7,10],
11031  [8,10],
11032  [8,11],
11033  [9,10],
11034  [9,11],
11035  [10,11]
11036  ]
11037  ],
11038  [
11039  "square_cupola",
11040  "Square Cupola",
11041  "J4",
11042  "johnson",
11043  "Polyhedron Database #48",
11044  [
11045  [-0.90920355930, -0.17753303803, -0.37660444522],
11046  [-0.90920355930, -0.17753303803, 0.37660444522],
11047  [-0.37660444522, 0.35506607605, -0.37660444522],
11048  [-0.37660444522, 0.35506607605, 0.37660444522],
11049  [-0.37660444522, -0.17753303803, -0.90920355930],
11050  [-0.37660444522, -0.17753303803, 0.90920355930],
11051  [ 0.37660444522, 0.35506607605, -0.37660444522],
11052  [ 0.37660444522, 0.35506607605, 0.37660444522],
11053  [ 0.37660444522, -0.17753303803, -0.90920355930],
11054  [ 0.37660444522, -0.17753303803, 0.90920355930],
11055  [ 0.90920355930, -0.17753303803, -0.37660444522],
11056  [ 0.90920355930, -0.17753303803, 0.37660444522]
11057  ],
11058  [
11059  [1.00000000000, -168.95132206550, 112.12351211134],
11060  [1.00000000000, -168.95132206551, 67.87648788864],
11061  [0.64010447170, 136.68614334171, 126.03989343030],
11062  [0.64010447170, 136.68614334171, 53.96010656970],
11063  [1.00000000000, -154.76059817930, 155.39552032235],
11064  [1.00000000000, -154.76059817931, 24.60447967764],
11065  [0.64010447170, 43.31385665828, 126.03989343029],
11066  [0.64010447170, 43.31385665828, 53.96010656970],
11067  [1.00000000000, -25.23940182068, 155.39552032235],
11068  [1.00000000000, -25.23940182066, 24.60447967763],
11069  [1.00000000000, -11.04867793448, 112.12351211135],
11070  [1.00000000000, -11.04867793448, 67.87648788864]
11071  ],
11072  [
11073  [0,1,5,9,11,10,8,4],
11074  [6,7,3,2],
11075  [1,0,2,3],
11076  [5,1,3],
11077  [9,5,3,7],
11078  [11,9,7],
11079  [10,11,7,6],
11080  [8,10,6],
11081  [4,8,6,2],
11082  [0,4,2]
11083  ],
11084  [
11085  [0,1],
11086  [0,2],
11087  [0,4],
11088  [1,3],
11089  [1,5],
11090  [2,3],
11091  [2,4],
11092  [2,6],
11093  [3,5],
11094  [3,7],
11095  [4,8],
11096  [5,9],
11097  [6,7],
11098  [6,8],
11099  [6,10],
11100  [7,9],
11101  [7,11],
11102  [8,10],
11103  [9,11],
11104  [10,11]
11105  ]
11106  ],
11107  [
11108  "square_gyrobicupola",
11109  "Square Gyrobicupola",
11110  "J29",
11111  "johnson",
11112  "Polyhedron Database #73",
11113  [
11114  [ 0.38268343237, 0.00000000000, 0.92387953251],
11115  [-0.38268343237, -0.00000000000, 0.92387953251],
11116  [ 0.92387953251, 0.00000000000, 0.38268343237],
11117  [ 0.38268343237, 0.54119610015, 0.38268343237],
11118  [ 0.00000000000, -0.54119610015, 0.54119610015],
11119  [-0.38268343237, 0.54119610015, 0.38268343237],
11120  [-0.92387953251, -0.00000000000, 0.38268343237],
11121  [ 0.54119610015, -0.54119610015, -0.00000000000],
11122  [ 0.92387953251, 0.00000000000, -0.38268343237],
11123  [ 0.38268343237, 0.54119610015, -0.38268343237],
11124  [-0.54119610015, -0.54119610015, 0.00000000000],
11125  [-0.38268343237, 0.54119610015, -0.38268343237],
11126  [ 0.00000000000, -0.54119610015, -0.54119610015],
11127  [-0.92387953251, -0.00000000000, -0.38268343237],
11128  [ 0.38268343237, 0.00000000000, -0.92387953251],
11129  [-0.38268343237, 0.00000000000, -0.92387953251]
11130  ],
11131  [
11132  [1.00000000000, 0.00000000000, 22.50000000000],
11133  [1.00000000000, -179.99999999997, 22.49999999999],
11134  [1.00000000000, 0.00000000001, 67.50000000000],
11135  [0.76536686473, 54.73561031725, 60.00000000000],
11136  [0.76536686473, -89.99999999998, 45.00000000000],
11137  [0.76536686473, 125.26438968275, 60.00000000000],
11138  [1.00000000000, -179.99999999998, 67.49999999999],
11139  [0.76536686473, -44.99999999999, 89.99999999999],
11140  [1.00000000000, 0.00000000001, 112.50000000000],
11141  [0.76536686473, 54.73561031725, 119.99999999999],
11142  [0.76536686473, -134.99999999999, 89.99999999999],
11143  [0.76536686473, 125.26438968275, 119.99999999999],
11144  [0.76536686473, -89.99999999999, 135.00000000000],
11145  [1.00000000000, -179.99999999998, 112.49999999999],
11146  [1.00000000000, 0.00000000001, 157.50000000000],
11147  [1.00000000000, 179.99999999999, 157.49999999999]
11148  ],
11149  [
11150  [12,10,4,7],
11151  [0,2,7,4],
11152  [1,0,4],
11153  [6,1,4,10],
11154  [13,6,10],
11155  [15,13,10,12],
11156  [14,15,12],
11157  [8,14,12,7],
11158  [2,8,7],
11159  [11,9,3,5],
11160  [0,1,5,3],
11161  [2,0,3],
11162  [8,2,3,9],
11163  [14,8,9],
11164  [15,14,9,11],
11165  [13,15,11],
11166  [6,13,11,5],
11167  [1,6,5]
11168  ],
11169  [
11170  [0,1],
11171  [0,2],
11172  [0,3],
11173  [0,4],
11174  [1,4],
11175  [1,5],
11176  [1,6],
11177  [2,3],
11178  [2,7],
11179  [2,8],
11180  [3,5],
11181  [3,9],
11182  [4,7],
11183  [4,10],
11184  [5,6],
11185  [5,11],
11186  [6,10],
11187  [6,13],
11188  [7,8],
11189  [7,12],
11190  [8,9],
11191  [8,14],
11192  [9,11],
11193  [9,14],
11194  [10,12],
11195  [10,13],
11196  [11,13],
11197  [11,15],
11198  [12,14],
11199  [12,15],
11200  [13,15],
11201  [14,15]
11202  ]
11203  ],
11204  [
11205  "square_orthobicupola",
11206  "square orthobicupola",
11207  "J28",
11208  "johnson",
11209  "Polyhedron Database #72",
11210  [
11211  [ 0.38268343237, 0.00000000000, -0.92387953251],
11212  [-0.38268343237, 0.00000000000, -0.92387953251],
11213  [ 0.92387953251, -0.00000000000, -0.38268343237],
11214  [ 0.38268343237, -0.54119610015, -0.38268343237],
11215  [ 0.38268343237, 0.54119610015, -0.38268343237],
11216  [-0.38268343237, -0.54119610015, -0.38268343237],
11217  [-0.38268343237, 0.54119610015, -0.38268343237],
11218  [-0.92387953251, 0.00000000000, -0.38268343237],
11219  [ 0.92387953251, 0.00000000000, 0.38268343237],
11220  [ 0.38268343237, -0.54119610015, 0.38268343237],
11221  [ 0.38268343237, 0.54119610015, 0.38268343237],
11222  [-0.38268343237, -0.54119610015, 0.38268343237],
11223  [-0.38268343237, 0.54119610015, 0.38268343237],
11224  [-0.92387953251, 0.00000000000, 0.38268343237],
11225  [ 0.38268343237, 0.00000000000, 0.92387953251],
11226  [-0.38268343237, 0.00000000000, 0.92387953251]
11227  ],
11228  [
11229  [1.00000000000, 0.00000000000, 157.49999999999],
11230  [1.00000000000, 179.99999999999, 157.49999999999],
11231  [1.00000000000, -0.00000000001, 112.49999999999],
11232  [0.76536686473, -54.73561031725, 119.99999999999],
11233  [0.76536686473, 54.73561031725, 119.99999999999],
11234  [0.76536686473, -125.26438968274, 119.99999999999],
11235  [0.76536686473, 125.26438968274, 119.99999999999],
11236  [1.00000000000, 179.99999999999, 112.49999999999],
11237  [1.00000000000, 0.00000000000, 67.50000000000],
11238  [0.76536686473, -54.73561031725, 60.00000000000],
11239  [0.76536686473, 54.73561031725, 60.00000000000],
11240  [0.76536686473, -125.26438968274, 59.99999999999],
11241  [0.76536686473, 125.26438968274, 59.99999999999],
11242  [1.00000000000, 179.99999999998, 67.50000000000],
11243  [1.00000000000, 0.00000000000, 22.50000000000],
11244  [1.00000000000, 179.99999999999, 22.50000000000]
11245  ],
11246  [
11247  [11,9,3,5],
11248  [0,1,5,3],
11249  [2,0,3],
11250  [8,2,3,9],
11251  [14,8,9],
11252  [15,14,9,11],
11253  [13,15,11],
11254  [7,13,11,5],
11255  [1,7,5],
11256  [10,12,6,4],
11257  [1,0,4,6],
11258  [7,1,6],
11259  [13,7,6,12],
11260  [15,13,12],
11261  [14,15,12,10],
11262  [8,14,10],
11263  [2,8,10,4],
11264  [0,2,4]
11265  ],
11266  [
11267  [0,1],
11268  [0,2],
11269  [0,3],
11270  [0,4],
11271  [1,5],
11272  [1,6],
11273  [1,7],
11274  [2,3],
11275  [2,4],
11276  [2,8],
11277  [3,5],
11278  [3,9],
11279  [4,6],
11280  [4,10],
11281  [5,7],
11282  [5,11],
11283  [6,7],
11284  [6,12],
11285  [7,13],
11286  [8,9],
11287  [8,10],
11288  [8,14],
11289  [9,11],
11290  [9,14],
11291  [10,12],
11292  [10,14],
11293  [11,13],
11294  [11,15],
11295  [12,13],
11296  [12,15],
11297  [13,15],
11298  [14,15]
11299  ]
11300  ],
11301  [
11302  "square_pyramid",
11303  "Square Pyramid",
11304  "J1",
11305  "johnson",
11306  "Exact Mathematics",
11307  [
11308  [ 0.00000000000, 1.00000000000, 0.00000000000],
11309  [-1.00000000000, 0.00000000000, 0.00000000000],
11310  [ 0.00000000000, 0.00000000000, -1.00000000000],
11311  [ 1.00000000000, 0.00000000000, 0.00000000000],
11312  [ 0.00000000000, 0.00000000000, 1.00000000000]
11313  ],
11314  [
11315  [1.00000000000, 89.99999999999, 89.99999999999],
11316  [1.00000000000, 179.99999999999, 89.99999999999],
11317  [1.00000000000, 0.00000000000, 179.99999999999],
11318  [1.00000000000, 0.00000000000, 89.99999999999],
11319  [1.00000000000, 0.00000000000, 0.00000000000]
11320  ],
11321  [
11322  [0,1,2],
11323  [0,2,3],
11324  [0,3,4],
11325  [0,4,1],
11326  [4,3,2,1]
11327  ],
11328  [
11329  [0,1],
11330  [0,2],
11331  [0,3],
11332  [0,4],
11333  [1,2],
11334  [1,4],
11335  [2,3],
11336  [3,4]
11337  ]
11338  ],
11339  [
11340  "triangular_cupola",
11341  "Triangular Cupola",
11342  "J3",
11343  "johnson",
11344  "Polyhedron Database #47",
11345  [
11346  [ 0.48245064068, -0.26261286572, 0.83562902180],
11347  [ 0.96490128135, -0.26261286572, 0.00000000000],
11348  [ 0.48245064068, 0.52522573144, 0.27854300727],
11349  [-0.48245064068, -0.26261286572, 0.83562902180],
11350  [-0.48245064068, 0.52522573144, 0.27854300727],
11351  [ 0.48245064068, -0.26261286572, -0.83562902180],
11352  [ 0.00000000000, 0.52522573144, -0.55708601453],
11353  [-0.96490128135, -0.26261286572, -0.00000000000],
11354  [-0.48245064068, -0.26261286572, -0.83562902180]
11355  ],
11356  [
11357  [1.00000000000, -28.56082521782, 33.31860684000],
11358  [1.00000000000, -15.22515701068, 89.99999999999],
11359  [0.76564149349, 47.43070269790, 68.66603725294],
11360  [1.00000000000, -151.43917478219, 33.31860684000],
11361  [0.76564149349, 132.56929730209, 68.66603725295],
11362  [1.00000000000, -28.56082521781, 146.68139315999],
11363  [0.76564149349, 89.99999999999, 136.68614334171],
11364  [1.00000000000, -164.77484298931, 90.00000000000],
11365  [1.00000000000, -151.43917478217, 146.68139315999]
11366  ],
11367  [
11368  [1,5,8,7,3,0],
11369  [4,6,2],
11370  [5,1,2,6],
11371  [8,5,6],
11372  [7,8,6,4],
11373  [3,7,4],
11374  [0,3,4,2],
11375  [1,0,2]
11376  ],
11377  [
11378  [0,1],
11379  [0,2],
11380  [0,3],
11381  [1,2],
11382  [1,5],
11383  [2,4],
11384  [2,6],
11385  [3,4],
11386  [3,7],
11387  [4,6],
11388  [4,7],
11389  [5,6],
11390  [5,8],
11391  [6,8],
11392  [7,8]
11393  ]
11394  ],
11395  [
11396  "triangular_dipyramid",
11397  "Triangular Dipyramid",
11398  "J12",
11399  "johnson",
11400  "Exact Mathematics",
11401  [
11402  [ 0.00000000000, 1.00000000000, 0.00000000000],
11403  [-0.61237243570, 0.00000000000, 0.35355339059],
11404  [ 0.61237243570, 0.00000000000, 0.35355339059],
11405  [ 0.00000000000, 0.00000000000, -0.70710678119],
11406  [ 0.00000000000, -1.00000000000, 0.00000000000]
11407  ],
11408  [
11409  [1.00000000000, 89.99999999999, 89.99999999999],
11410  [0.70710678119, 179.99999999999, 59.99999999999],
11411  [0.70710678119, 0.00000000000, 59.99999999999],
11412  [0.70710678119, 0.00000000000, 179.99999999999],
11413  [1.00000000000, -89.99999999999, 89.99999999999]
11414  ],
11415  [
11416  [0,2,1],
11417  [0,1,3],
11418  [0,3,2],
11419  [4,1,2],
11420  [4,3,1],
11421  [4,2,3]
11422  ],
11423  [
11424  [0,1],
11425  [0,2],
11426  [0,3],
11427  [1,2],
11428  [1,3],
11429  [1,4],
11430  [2,3],
11431  [2,4],
11432  [3,4]
11433  ]
11434  ],
11435  [
11436  "triangular_hebesphenorotunda",
11437  "Triangular Hebesphenorotunda",
11438  "J92",
11439  "johnson",
11440  "Polyhedron Database #136",
11441  [
11442  [-0.33030426902, -0.43569508663, 0.57210377877],
11443  [-0.66060857153, -0.43569508663, 0.00000000055],
11444  [ 0.33030428777, -0.43569508663, 0.57210375093],
11445  [-0.86474803514, -0.05429283479, 0.49926252367],
11446  [-0.33030431724, -0.43569508663, -0.57210380551],
11447  [ 0.66060854206, -0.43569508663, -0.00000005513],
11448  [ 0.33030423955, -0.43569508663, -0.57210383335],
11449  [-0.33030449832, 0.18142681974, 0.80782441422],
11450  [ 0.86474804776, -0.05429283479, 0.49926245077],
11451  [ 0.33030436734, 0.18142672510, 0.80782416491],
11452  [-0.86474847801, 0.18142672510, -0.11786013753],
11453  [-0.00000005682, -0.05429283479, -0.99852505632],
11454  [-0.53444426109, 0.18142681974, -0.68996432181],
11455  [ 0.86474871520, 0.18142681974, -0.11786017428],
11456  [ 0.00000000000, 0.56282961963, 0.38140339437],
11457  [ 0.53444406646, 0.18142672510, -0.68996410925],
11458  [-0.33030479992, 0.56282956114, -0.19070155631],
11459  [ 0.33030502095, 0.56282920888, -0.19070142869]
11460  ],
11461  [
11462  [0.79134938702, -127.16608531772, 43.70165880957],
11463  [0.79134941290, -146.59371423888, 89.99999995994],
11464  [0.79134937471, -52.83391311595, 43.70166079553],
11465  [0.99999997187, -176.40742461325, 60.04877813013],
11466  [0.79134942648, -127.16608934514, 136.29834100287],
11467  [0.79134938829, -33.40628693591, 90.00000399191],
11468  [0.79134941417, -52.83391714338, 136.29834485270],
11469  [0.89140172579, 151.22126582657, 25.00911035272],
11470  [0.99999994638, -3.59257533445, 60.04878210920],
11471  [0.89140143206, 28.77873114833, 25.00910778612],
11472  [0.89140148015, 168.15103816748, 97.59783386698],
11473  [1.00000000000, -90.00005996535, 176.88771941200],
11474  [0.89140177502, 161.24928487827, 140.71642098684],
11475  [0.89140173437, 11.84896468079, 97.59783407018],
11476  [0.67988655669, 89.99999999999, 55.87633708196],
11477  [0.89140147454, 18.75071237490, 140.71642301870],
11478  [0.67988635765, 120.40716806194, 106.28947196340],
11479  [0.67988613763, 59.59279954772, 106.28946617754]
11480  ],
11481  [
11482  [15,17,16,12,11],
11483  [4,11,12],
11484  [4,6,11],
11485  [15,11,6],
11486  [5,13,15,6],
11487  [17,15,13],
11488  [9,14,17,13,8],
11489  [8,13,5],
11490  [8,5,2],
11491  [9,8,2],
11492  [14,9,7],
11493  [0,7,9,2],
11494  [17,14,16],
11495  [14,7,3,10,16],
11496  [7,0,3],
11497  [0,1,3],
11498  [10,3,1],
11499  [10,1,4,12],
11500  [16,10,12],
11501  [0,2,5,6,4,1]
11502  ],
11503  [
11504  [0,1],
11505  [0,2],
11506  [0,3],
11507  [0,7],
11508  [1,3],
11509  [1,4],
11510  [1,10],
11511  [2,5],
11512  [2,8],
11513  [2,9],
11514  [3,7],
11515  [3,10],
11516  [4,6],
11517  [4,11],
11518  [4,12],
11519  [5,6],
11520  [5,8],
11521  [5,13],
11522  [6,11],
11523  [6,15],
11524  [7,9],
11525  [7,14],
11526  [8,9],
11527  [8,13],
11528  [9,14],
11529  [10,12],
11530  [10,16],
11531  [11,12],
11532  [11,15],
11533  [12,16],
11534  [13,15],
11535  [13,17],
11536  [14,16],
11537  [14,17],
11538  [15,17],
11539  [16,17]
11540  ]
11541  ],
11542  [
11543  "triangular_orthobicupola",
11544  "Triangular Orthobicupola",
11545  "J27",
11546  "johnson",
11547  "Polyhedron Database #71",
11548  [
11549  [-0.50000000000, -0.00000000000, -0.86602540378],
11550  [ 0.50000000000, 0.00000000000, -0.86602540378],
11551  [ 0.00000000000, 0.81649658093, -0.57735026919],
11552  [ 0.00000000000, -0.81649658093, -0.57735026919],
11553  [-1.00000000000, -0.00000000000, -0.00000000000],
11554  [-0.50000000000, 0.81649658093, 0.28867513459],
11555  [-0.50000000000, -0.81649658093, 0.28867513459],
11556  [ 1.00000000000, 0.00000000000, 0.00000000000],
11557  [ 0.50000000000, 0.81649658093, 0.28867513459],
11558  [ 0.50000000000, -0.81649658093, 0.28867513459],
11559  [-0.50000000000, 0.00000000000, 0.86602540378],
11560  [ 0.50000000000, 0.00000000000, 0.86602540378]
11561  ],
11562  [
11563  [1.00000000000, -179.99999999998, 150.00000000000],
11564  [1.00000000000, 0.00000000000, 149.99999999998],
11565  [1.00000000000, 89.99999999999, 125.26438968275],
11566  [1.00000000000, -89.99999999999, 125.26438968275],
11567  [1.00000000000, -179.99999999998, 89.99999999999],
11568  [1.00000000000, 121.48215410529, 73.22134511904],
11569  [1.00000000000, -121.48215410529, 73.22134511904],
11570  [1.00000000000, 0.00000000001, 89.99999999999],
11571  [1.00000000000, 58.51784589470, 73.22134511903],
11572  [1.00000000000, -58.51784589470, 73.22134511903],
11573  [1.00000000000, 179.99999999999, 30.00000000000],
11574  [1.00000000000, 0.00000000001, 29.99999999999]
11575  ],
11576  [
11577  [8,5,2],
11578  [4,0,2,5],
11579  [10,4,5],
11580  [11,10,5,8],
11581  [7,11,8],
11582  [1,7,8,2],
11583  [0,1,2],
11584  [9,3,6],
11585  [0,4,6,3],
11586  [1,0,3],
11587  [7,1,3,9],
11588  [11,7,9],
11589  [10,11,9,6],
11590  [4,10,6]
11591  ],
11592  [
11593  [0,1],
11594  [0,2],
11595  [0,3],
11596  [0,4],
11597  [1,2],
11598  [1,3],
11599  [1,7],
11600  [2,5],
11601  [2,8],
11602  [3,6],
11603  [3,9],
11604  [4,5],
11605  [4,6],
11606  [4,10],
11607  [5,8],
11608  [5,10],
11609  [6,9],
11610  [6,10],
11611  [7,8],
11612  [7,9],
11613  [7,11],
11614  [8,11],
11615  [9,11],
11616  [10,11]
11617  ]
11618  ],
11619  [
11620  "triaugmented_dodecahedron",
11621  "Triaugmented Dodecahedron",
11622  "J61",
11623  "johnson",
11624  "Polyhedron Database #105",
11625  [
11626  [ 0.30633525313, 0.66269059455, -0.43655239923],
11627  [-0.30633525313, 0.66269059455, -0.43655239923],
11628  [ 0.49566085152, 0.66269059455, 0.14613187809],
11629  [-0.49566085152, 0.66269059455, 0.14613187809],
11630  [ 0.85432441306, 0.42961688362, -0.29250492399],
11631  [ 0.00000000000, 0.66269059455, 0.50625056619],
11632  [-0.85432441306, 0.42961688362, -0.29250492399],
11633  [ 0.49566085152, 0.14152193315, -0.69713672994],
11634  [-0.49566085152, 0.14152193315, -0.69713672994],
11635  [ 0.80199610465, 0.14152193315, 0.24566623548],
11636  [ 0.00000000000, -0.18057801347, -0.85818670325],
11637  [-0.80199610465, 0.14152193315, 0.24566623548],
11638  [ 0.80199610465, -0.18057801347, -0.27550242592],
11639  [-0.00000000000, 0.14152193315, 0.82835051281],
11640  [-0.80199610465, -0.18057801347, -0.27550242592],
11641  [ 0.49566085152, -0.18057801348, 0.66730053950],
11642  [-0.49566085152, -0.18057801347, 0.66730053950],
11643  [ 0.00000000000, -0.70174667488, -0.53608675663],
11644  [ 0.49566085152, -0.70174667488, -0.17596806853],
11645  [-0.00000000000, -0.46867296395, 0.88337175236],
11646  [-0.49566085152, -0.70174667488, -0.17596806853],
11647  [ 0.30633525313, -0.70174667488, 0.40671620879],
11648  [-0.30633525313, -0.70174667488, 0.40671620879]
11649  ],
11650  [
11651  [0.85063394518, 65.19079478502, 120.87777015729],
11652  [0.85063394518, 114.80920521493, 120.87777015730],
11653  [0.84035291969, 53.20526961347, 79.98572915626],
11654  [0.84035291969, 126.79473038649, 79.98572915627],
11655  [1.00000000000, 26.69659927212, 107.00798183264],
11656  [0.83393552501, 89.99999999999, 52.62263185934],
11657  [1.00000000000, 153.30340072785, 107.00798183267],
11658  [0.86701081742, 15.93519426294, 143.52046229529],
11659  [0.86701081742, 164.06480573703, 143.52046229531],
11660  [0.85063394518, 10.00750928001, 73.21365082505],
11661  [0.87697938207, -89.99999999993, 168.11727938701],
11662  [0.85063394518, 169.99249071996, 73.21365082508],
11663  [0.86701081742, -12.68914757871, 108.52758761823],
11664  [0.84035291969, 90.00000000008, 9.69525438969],
11665  [0.86701081742, -167.31085242129, 108.52758761825],
11666  [0.85063394518, -20.01757671622, 38.32790876038],
11667  [0.85063394518, -159.98242328379, 38.32790876041],
11668  [0.88308403130, -89.99999999999, 127.37736814065],
11669  [0.87697938207, -54.76550324456, 101.57511557864],
11670  [1.00000000000, -90.00000000002, 27.94819018462],
11671  [0.87697938207, -125.23449675544, 101.57511557866],
11672  [0.86701081742, -66.41716516327, 62.02400123461],
11673  [0.86701081742, -113.58283483674, 62.02400123463]
11674  ],
11675  [
11676  [22,21,18,17,20],
11677  [12,18,21,15,9],
11678  [16,22,20,14,11],
11679  [14,20,17,10,8],
11680  [10,17,18,12,7],
11681  [7,0,1,8,10],
11682  [11,3,5,13,16],
11683  [13,5,2,9,15],
11684  [5,3,1,0,2],
11685  [1,3,6],
11686  [8,1,6],
11687  [3,11,6],
11688  [11,14,6],
11689  [8,6,14],
11690  [21,22,19],
11691  [15,21,19],
11692  [22,16,19],
11693  [16,13,19],
11694  [15,19,13],
11695  [2,0,4],
11696  [9,2,4],
11697  [0,7,4],
11698  [7,12,4],
11699  [9,4,12]
11700  ],
11701  [
11702  [0,1],
11703  [0,2],
11704  [0,4],
11705  [0,7],
11706  [1,3],
11707  [1,6],
11708  [1,8],
11709  [2,4],
11710  [2,5],
11711  [2,9],
11712  [3,5],
11713  [3,6],
11714  [3,11],
11715  [4,7],
11716  [4,9],
11717  [4,12],
11718  [5,13],
11719  [6,8],
11720  [6,11],
11721  [6,14],
11722  [7,10],
11723  [7,12],
11724  [8,10],
11725  [8,14],
11726  [9,12],
11727  [9,15],
11728  [10,17],
11729  [11,14],
11730  [11,16],
11731  [12,18],
11732  [13,15],
11733  [13,16],
11734  [13,19],
11735  [14,20],
11736  [15,19],
11737  [15,21],
11738  [16,19],
11739  [16,22],
11740  [17,18],
11741  [17,20],
11742  [18,21],
11743  [19,21],
11744  [19,22],
11745  [20,22],
11746  [21,22]
11747  ]
11748  ],
11749  [
11750  "triaugmented_hexagonal_prism",
11751  "Triaugmented Hexagonal Prism",
11752  "J57",
11753  "johnson",
11754  "Polyhedron Database #101",
11755  [
11756  [ 0.31783724520, -0.31783724520, -0.55051025722],
11757  [ 0.86602540378, 0.00000000000, -0.50000000000],
11758  [-0.31783724520, -0.31783724520, -0.55051025722],
11759  [ 0.31783724520, 0.31783724520, -0.55051025722],
11760  [ 0.63567449039, -0.31783724520, 0.00000000000],
11761  [-0.31783724520, 0.31783724520, -0.55051025722],
11762  [-0.86602540378, 0.00000000000, -0.50000000000],
11763  [ 0.63567449039, 0.31783724520, -0.00000000000],
11764  [-0.63567449039, -0.31783724520, 0.00000000000],
11765  [ 0.31783724520, -0.31783724520, 0.55051025722],
11766  [-0.63567449039, 0.31783724520, -0.00000000000],
11767  [-0.31783724520, -0.31783724520, 0.55051025722],
11768  [ 0.31783724520, 0.31783724520, 0.55051025722],
11769  [-0.31783724520, 0.31783724520, 0.55051025722],
11770  [ 0.00000000000, 0.00000000000, 1.00000000000]
11771  ],
11772  [
11773  [0.71070568604, -44.99999999998, 140.76847951640],
11774  [1.00000000000, 0.00000000001, 119.99999999999],
11775  [0.71070568604, -134.99999999998, 140.76847951640],
11776  [0.71070568604, 45.00000000000, 140.76847951640],
11777  [0.71070568604, -26.56505117707, 89.99999999999],
11778  [0.71070568604, 134.99999999999, 140.76847951640],
11779  [1.00000000000, 179.99999999999, 120.00000000000],
11780  [0.71070568604, 26.56505117708, 89.99999999999],
11781  [0.71070568604, -153.43494882291, 89.99999999999],
11782  [0.71070568604, -45.00000000000, 39.23152048359],
11783  [0.71070568604, 153.43494882292, 90.00000000000],
11784  [0.71070568604, -134.99999999999, 39.23152048359],
11785  [0.71070568604, 45.00000000001, 39.23152048359],
11786  [0.71070568604, 135.00000000001, 39.23152048359],
11787  [1.00000000000, 0.00000000000, 0.00000000000]
11788  ],
11789  [
11790  [2,8,11,9,4,0],
11791  [5,3,7,12,13,10],
11792  [12,7,4,9],
11793  [10,13,11,8],
11794  [3,5,2,0],
11795  [11,14,9],
11796  [14,12,9],
11797  [13,14,11],
11798  [12,14,13],
11799  [2,6,8],
11800  [6,10,8],
11801  [5,6,2],
11802  [10,6,5],
11803  [4,1,0],
11804  [1,3,0],
11805  [7,1,4],
11806  [3,1,7]
11807  ],
11808  [
11809  [0,1],
11810  [0,2],
11811  [0,3],
11812  [0,4],
11813  [1,3],
11814  [1,4],
11815  [1,7],
11816  [2,5],
11817  [2,6],
11818  [2,8],
11819  [3,5],
11820  [3,7],
11821  [4,7],
11822  [4,9],
11823  [5,6],
11824  [5,10],
11825  [6,8],
11826  [6,10],
11827  [7,12],
11828  [8,10],
11829  [8,11],
11830  [9,11],
11831  [9,12],
11832  [9,14],
11833  [10,13],
11834  [11,13],
11835  [11,14],
11836  [12,13],
11837  [12,14],
11838  [13,14]
11839  ]
11840  ],
11841  [
11842  "triaugmented_triangular_prism",
11843  "Triaugmented Triangular Prism",
11844  "J51",
11845  "johnson",
11846  "Polyhedron Database #95",
11847  [
11848  [-0.00000000000, -0.50211797591, -0.57979589711],
11849  [-0.86602540378, 0.00000000000, -0.50000000000],
11850  [-0.50211797591, -0.50211797591, 0.28989794856],
11851  [ 0.50211797591, -0.50211797591, 0.28989794856],
11852  [ 0.86602540378, 0.00000000000, -0.50000000000],
11853  [-0.00000000000, 0.50211797591, -0.57979589711],
11854  [-0.50211797591, 0.50211797591, 0.28989794856],
11855  [-0.00000000000, 0.00000000000, 1.00000000000],
11856  [ 0.50211797591, 0.50211797591, 0.28989794856]
11857  ],
11858  [
11859  [0.76699787747, -89.99999999999, 139.10660535086],
11860  [1.00000000000, 179.99999999999, 119.99999999999],
11861  [0.76699787747, -134.99999999999, 67.79234570140],
11862  [0.76699787747, -45.00000000000, 67.79234570139],
11863  [1.00000000000, 0.00000000000, 119.99999999999],
11864  [0.76699787747, 89.99999999999, 139.10660535086],
11865  [0.76699787747, 134.99999999999, 67.79234570140],
11866  [1.00000000000, 89.99999999999, 0.00000000001],
11867  [0.76699787747, 45.00000000000, 67.79234570140]
11868  ],
11869  [
11870  [0,5,1],
11871  [5,4,8],
11872  [5,0,4],
11873  [0,3,4],
11874  [4,3,8],
11875  [8,6,5],
11876  [7,6,8],
11877  [3,7,8],
11878  [2,7,3],
11879  [2,6,7],
11880  [0,2,3],
11881  [1,2,0],
11882  [1,6,2],
11883  [5,6,1]
11884  ],
11885  [
11886  [0,1],
11887  [0,2],
11888  [0,3],
11889  [0,4],
11890  [0,5],
11891  [1,2],
11892  [1,5],
11893  [1,6],
11894  [2,3],
11895  [2,6],
11896  [2,7],
11897  [3,4],
11898  [3,7],
11899  [3,8],
11900  [4,5],
11901  [4,8],
11902  [5,6],
11903  [5,8],
11904  [6,7],
11905  [6,8],
11906  [7,8]
11907  ]
11908  ],
11909  [
11910  "triaugmented_truncated_dodecahedron",
11911  "Triaugmented Truncated Dodecahedron",
11912  "J71",
11913  "johnson",
11914  "Polyhedron Database #115",
11915  [
11916  [-0.13358612244, 0.73757049153, 0.55581336427],
11917  [-0.38221514374, 0.73757049153, 0.37517380660],
11918  [ 0.17373624906, 0.73757049153, 0.55581336427],
11919  [-0.38221514374, 0.57600155938, 0.63659783035],
11920  [-0.47718297929, 0.73757049153, 0.08289286258],
11921  [-0.65709262922, 0.62065811392, 0.30291798353],
11922  [ 0.42236527036, 0.73757049153, 0.37517380660],
11923  [-0.65709262922, 0.45908918177, 0.56434200728],
11924  [ 0.42236527036, 0.57600155938, 0.63659783035],
11925  [-0.38221514374, 0.73757049153, -0.20938808145],
11926  [-0.47718297929, 0.31457753563, 0.76730984222],
11927  [ 0.51733310591, 0.73757049153, 0.08289286258],
11928  [-0.63084416504, 0.57600155938, -0.12860361537],
11929  [-0.81075381497, 0.45908918177, 0.09142150559],
11930  [-0.13358612244, 0.73757049153, -0.39002763912],
11931  [ 0.42236527036, 0.73757049153, -0.20938808145],
11932  [ 0.17373624906, 0.73757049153, -0.39002763912],
11933  [ 0.51733310591, 0.31457753563, 0.76730984222],
11934  [-0.81075381497, 0.19766515802, 0.51441446148],
11935  [-0.38221514374, 0.05315351188, 0.89802185410],
11936  [-0.63084416504, 0.05315351188, 0.71738229643],
11937  [-0.90572165052, 0.19766515802, 0.22213351746],
11938  [ 0.67099429167, 0.57600155938, -0.12860361537],
11939  [-0.78450535080, 0.31457753563, -0.17853116117],
11940  [ 0.43858771338, 0.62065811392, -0.49314038246],
11941  [ 0.42236527036, 0.05315351188, 0.89802185410],
11942  [ 0.02007506331, 0.57600155938, -0.60152411707],
11943  [-0.13358612244, -0.10841542027, 0.97880632017],
11944  [ 0.17373624906, -0.10841542027, 0.97880632017],
11945  [ 0.67099429166, 0.05315351188, 0.71738229643],
11946  [-0.78450535080, -0.10841542027, 0.50588581848],
11947  [ 0.68721673468, 0.45908918177, -0.41235591639],
11948  [-0.87947318634, 0.05315351188, -0.04781914930],
11949  [ 0.28492652763, 0.45908918177, -0.70463686041],
11950  [ 0.82465547742, 0.31457753563, -0.17853116117],
11951  [-0.87947318634, -0.10841542027, 0.21360487445],
11952  [-0.78450535080, 0.05315351188, -0.34010009332],
11953  [ 0.02007506331, -0.36983944401, 0.92887877437],
11954  [ 0.02007506331, 0.31457753563, -0.76309304922],
11955  [ 0.82465547742, -0.10841542027, 0.50588581848],
11956  [ 0.91962331297, 0.05315351188, -0.04781914930],
11957  [-0.78450535080, -0.36983944401, 0.34431688633],
11958  [ 0.68721673468, 0.19766515802, -0.57392484854],
11959  [ 0.91962331297, -0.10841542027, 0.21360487445],
11960  [ 0.43858771338, 0.19766515802, -0.75456440621],
11961  [ 0.82465547742, 0.05315351188, -0.34010009332],
11962  [-0.63084416504, -0.10841542027, -0.55159657127],
11963  [-0.13358612244, 0.05315351188, -0.81302059502],
11964  [ 0.17373624906, 0.05315351188, -0.81302059502],
11965  [ 0.02007506331, -0.63126346776, 0.76730984222],
11966  [-0.38221514374, -0.10841542027, -0.73223612894],
11967  [ 0.82465547742, -0.36983944402, 0.34431688633],
11968  [-0.63084416504, -0.63126346776, 0.29438934053],
11969  [ 0.67099429166, -0.10841542027, -0.55159657127],
11970  [ 0.42236527036, -0.10841542027, -0.73223612894],
11971  [-0.47718297929, -0.36983944402, -0.60152411707],
11972  [-0.13358612244, -0.79283239991, 0.55581336427],
11973  [-0.13358612244, -0.25292706641, -0.84061986354],
11974  [-0.38221514374, -0.79283239991, 0.37517380660],
11975  [ 0.17373624906, -0.79283239991, 0.55581336427],
11976  [ 0.67099429166, -0.63126346776, 0.29438934053],
11977  [ 0.17373624906, -0.25292706641, -0.84061986354],
11978  [-0.47718297929, -0.79283239991, 0.08289286258],
11979  [ 0.51733310591, -0.36983944402, -0.60152411707],
11980  [ 0.42236527036, -0.79283239991, 0.37517380660],
11981  [-0.38221514374, -0.63126346776, -0.47081210519],
11982  [-0.22855395799, -0.51435109015, -0.70990785167],
11983  [-0.38221514374, -0.79283239991, -0.20938808145],
11984  [ 0.51733310591, -0.79283239991, 0.08289286258],
11985  [ 0.26870408461, -0.51435109015, -0.70990785167],
11986  [ 0.42236527036, -0.63126346776, -0.47081210519],
11987  [-0.13358612244, -0.79283239991, -0.39002763912],
11988  [ 0.02007506331, -0.67592002230, -0.62912338559],
11989  [ 0.42236527036, -0.79283239991, -0.20938808145],
11990  [ 0.17373624906, -0.79283239991, -0.39002763912]
11991  ],
11992  [
11993  [0.93315806699, 100.26591999526, 53.44271686870],
11994  [0.91151194794, 117.39356524507, 65.69492714139],
11995  [0.93974624773, 76.74547714575, 53.73999401968],
11996  [0.93974624773, 123.56690587301, 47.35806022131],
11997  [0.88237466666, 122.90149113237, 84.60951786527],
11998  [0.95328197429, 136.63332204021, 71.47229013724],
11999  [0.92906298858, 60.20265185338, 66.18282421765],
12000  [0.98031398102, 145.05925607965, 54.85310084944],
12001  [0.95677950209, 53.74848279768, 48.29044987420],
12002  [0.85670415823, 117.39356524508, 104.14703947529],
12003  [0.95677950209, 146.60557938109, 36.68122373737],
12004  [0.90471818768, 54.95411967985, 84.74302441497],
12005  [0.86387559687, 137.60189805267, 98.56134348358],
12006  [0.93618508693, 150.47930042902, 84.39595054595],
12007  [0.84497162163, 100.26591999527, 117.48954005520],
12008  [0.87535479677, 60.20265185337, 103.83954520072],
12009  [0.85224179285, 76.74547714576, 117.23550814860],
12010  [0.97742363506, 31.30275538742, 38.27626634734],
12011  [0.98031398102, 166.29835357382, 58.34894899358],
12012  [0.97742363506, 172.08282587792, 23.25391864193],
12013  [0.95677950209, 175.18376227673, 41.42793697069],
12014  [0.95328197429, 167.68877404761, 76.52507810026],
12015  [0.89361626313, 40.64377762237, 98.27437854500],
12016  [0.86387559687, 158.14978781856, 101.92686945872],
12017  [0.90595977478, 54.75308293796, 122.97883715629],
12018  [0.99381133414, 7.17280892411, 25.36274309990],
12019  [0.83307386706, 88.00390988248, 136.22430391808],
12020  [0.99381133414, -140.93801143510, 9.96900490522],
12021  [1.00000000000, -31.96511287302, 11.81709800849],
12022  [0.98371540320, 4.52928663735, 43.17577705026],
12023  [0.93974624773, -172.13179507886, 57.43053587686],
12024  [0.92361632674, 33.74456077535, 116.51666025224],
12025  [0.88237466666, 176.54137051042, 93.10659229419],
12026  [0.88795219917, 58.17483991121, 142.51876696528],
12027  [0.90049378558, 20.88012257295, 101.43517915512],
12028  [0.91151194794, -172.97242393673, 76.44720346378],
12029  [0.85670415823, 176.12389580445, 113.38993257320],
12030  [1.00000000000, -86.89300652506, 21.73929442905],
12031  [0.82563492892, 86.34856699522, 157.55552562237],
12032  [0.97351477704, -7.48958255130, 58.69130109561],
12033  [0.92239850640, 3.30797104550, 92.97167023915],
12034  [0.93315806699, -154.75939859936, 68.34726029127],
12035  [0.91691225692, 16.04690052907, 128.75063659092],
12036  [0.95030941461, -6.72362906131, 77.01040947499],
12037  [0.89487325367, 24.26040291923, 147.48045746853],
12038  [0.89361626313, 3.68792179349, 112.37014185968],
12039  [0.84497162163, -170.24853845378, 130.75296319276],
12040  [0.82563492892, 158.30254110590, 169.97163206061],
12041  [0.83307386706, 17.01116140240, 167.40310406711],
12042  [0.99381133414, -88.17852775294, 39.45823518451],
12043  [0.83307386706, -164.16399893398, 151.51680495365],
12044  [0.96715665173, -24.15516210418, 69.14467742953],
12045  [0.93974624773, -134.98096495533, 71.74391203281],
12046  [0.87535479677, -9.17820344397, 129.06049435439],
12047  [0.85224179285, -14.39623935176, 149.22556072303],
12048  [0.85224179285, -142.22261776373, 134.89533663907],
12049  [0.97742363506, -99.56406375049, 55.34375951799],
12050  [0.88795219917, -117.84125112955, 161.20812506915],
12051  [0.95677950209, -115.73816730314, 66.91343056090],
12052  [0.98371540320, -77.63993728377, 55.59670900788],
12053  [0.96715665173, -43.25249448328, 72.27874735751],
12054  [0.89487325367, -55.51472779918, 159.94654207222],
12055  [0.92906298858, -121.04252325117, 84.88114880242],
12056  [0.87535479677, -35.56083036377, 133.40709638664],
12057  [0.97351477704, -61.95445176581, 67.33262336188],
12058  [0.87535479677, -121.19391662121, 122.53759488008],
12059  [0.90595977478, -113.95816093305, 141.59115335929],
12060  [0.90471818768, -115.73816730314, 103.38187217142],
12061  [0.95030941461, -56.87504678536, 84.99588813908],
12062  [0.91691225692, -62.41681417892, 140.73595257108],
12063  [0.89361626313, -56.21434180680, 121.79365083026],
12064  [0.89361626313, -99.56406375048, 115.87822418572],
12065  [0.92361632674, -88.29879521851, 132.93375360942],
12066  [0.92239850640, -61.95445176582, 103.12074420241],
12067  [0.90049378558, -77.63993728379, 115.66613412701]
12068  ],
12069  [
12070  [73,74,71,67,62,58,56,59,64,68],
12071  [74,73,70],
12072  [45,53,63,70,73,68,60,51,43,40],
12073  [63,53,54],
12074  [68,64,60],
12075  [29,39,51,60,64,59,49,37,28,25],
12076  [51,39,43],
12077  [59,56,49],
12078  [19,27,37,49,56,58,52,41,30,20],
12079  [37,27,28],
12080  [58,62,52],
12081  [32,35,41,52,62,67,65,55,46,36],
12082  [41,35,30],
12083  [67,71,65],
12084  [46,55,50],
12085  [0,1,4,9,14,16,15,11,6,2],
12086  [1,0,3],
12087  [27,19,10,3,0,2,8,17,25,28],
12088  [10,19,20],
12089  [2,6,8],
12090  [39,29,17,8,6,11,22,34,40,43],
12091  [17,29,25],
12092  [11,15,22],
12093  [40,34,45],
12094  [16,14,26],
12095  [50,47,38,26,14,9,12,23,36,46],
12096  [38,47,48],
12097  [9,4,12],
12098  [36,23,32],
12099  [7,18,21,13,5],
12100  [12,4,5,13],
12101  [23,12,13],
12102  [32,23,13,21],
12103  [35,32,21],
12104  [30,35,21,18],
12105  [20,30,18],
12106  [10,20,18,7],
12107  [10,7,3],
12108  [1,3,7,5],
12109  [4,1,5],
12110  [33,44,42,31,24],
12111  [22,15,24,31],
12112  [34,22,31],
12113  [45,34,31,42],
12114  [53,45,42],
12115  [54,53,42,44],
12116  [48,54,44],
12117  [38,48,44,33],
12118  [38,33,26],
12119  [16,26,33,24],
12120  [15,16,24],
12121  [69,61,57,66,72],
12122  [65,71,72,66],
12123  [55,65,66],
12124  [50,55,66,57],
12125  [47,50,57],
12126  [48,47,57,61],
12127  [54,48,61],
12128  [63,54,61,69],
12129  [63,69,70],
12130  [74,70,69,72],
12131  [71,74,72]
12132  ],
12133  [
12134  [0,1],
12135  [0,2],
12136  [0,3],
12137  [1,3],
12138  [1,4],
12139  [1,5],
12140  [2,6],
12141  [2,8],
12142  [3,7],
12143  [3,10],
12144  [4,5],
12145  [4,9],
12146  [4,12],
12147  [5,7],
12148  [5,13],
12149  [6,8],
12150  [6,11],
12151  [7,10],
12152  [7,18],
12153  [8,17],
12154  [9,12],
12155  [9,14],
12156  [10,19],
12157  [10,20],
12158  [11,15],
12159  [11,22],
12160  [12,13],
12161  [12,23],
12162  [13,21],
12163  [13,23],
12164  [14,16],
12165  [14,26],
12166  [15,16],
12167  [15,22],
12168  [15,24],
12169  [16,24],
12170  [16,26],
12171  [17,25],
12172  [17,29],
12173  [18,20],
12174  [18,21],
12175  [18,30],
12176  [19,20],
12177  [19,27],
12178  [20,30],
12179  [21,32],
12180  [21,35],
12181  [22,31],
12182  [22,34],
12183  [23,32],
12184  [23,36],
12185  [24,31],
12186  [24,33],
12187  [25,28],
12188  [25,29],
12189  [26,33],
12190  [26,38],
12191  [27,28],
12192  [27,37],
12193  [28,37],
12194  [29,39],
12195  [30,35],
12196  [30,41],
12197  [31,34],
12198  [31,42],
12199  [32,35],
12200  [32,36],
12201  [33,38],
12202  [33,44],
12203  [34,40],
12204  [34,45],
12205  [35,41],
12206  [36,46],
12207  [37,49],
12208  [38,47],
12209  [38,48],
12210  [39,43],
12211  [39,51],
12212  [40,43],
12213  [40,45],
12214  [41,52],
12215  [42,44],
12216  [42,45],
12217  [42,53],
12218  [43,51],
12219  [44,48],
12220  [44,54],
12221  [45,53],
12222  [46,50],
12223  [46,55],
12224  [47,48],
12225  [47,50],
12226  [47,57],
12227  [48,54],
12228  [48,61],
12229  [49,56],
12230  [49,59],
12231  [50,55],
12232  [50,57],
12233  [51,60],
12234  [52,58],
12235  [52,62],
12236  [53,54],
12237  [53,63],
12238  [54,61],
12239  [54,63],
12240  [55,65],
12241  [55,66],
12242  [56,58],
12243  [56,59],
12244  [57,61],
12245  [57,66],
12246  [58,62],
12247  [59,64],
12248  [60,64],
12249  [60,68],
12250  [61,69],
12251  [62,67],
12252  [63,69],
12253  [63,70],
12254  [64,68],
12255  [65,66],
12256  [65,67],
12257  [65,71],
12258  [66,72],
12259  [67,71],
12260  [68,73],
12261  [69,70],
12262  [69,72],
12263  [70,73],
12264  [70,74],
12265  [71,72],
12266  [71,74],
12267  [72,74],
12268  [73,74]
12269  ]
12270  ],
12271  [
12272  "tridiminished_icosahedron",
12273  "Tridiminished Icosahedron",
12274  "J63",
12275  "johnson",
12276  "Polyhedron Database #107",
12277  [
12278  [ 0.77548248538, 0.41459730052, 0.21583002982],
12279  [-0.03437071055, 0.94087180934, -0.04730722459],
12280  [ 0.77548248538, -0.43693274218, -0.31044447901],
12281  [-0.53488751153, 0.41459730052, -0.73620950036],
12282  [-0.03437071055, 0.41459730052, 0.80422281810],
12283  [-0.03437071055, -0.43693274218, -0.89883726729],
12284  [ 0.46614609043, -0.43693274218, 0.64159505117],
12285  [-0.84422390648, -0.43693274218, -0.31044447901],
12286  [-0.53488751153, -0.43693274218, 0.64159505117]
12287  ],
12288  [
12289  [0.90545381356, 28.13035994191, 76.20983879655],
12290  [0.94268715959, 92.09212491089, 92.87650388507],
12291  [0.94268715959, -29.39836349886, 109.22742659258],
12292  [1.00000000000, 142.22033543401, 137.40951634570],
12293  [0.90545381356, 94.73906544008, 27.35224942956],
12294  [1.00000000000, -94.49783112827, 154.00564962065],
12295  [0.90545381356, -43.14720705893, 44.87973249265],
12296  [1.00000000000, -152.63592616876, 108.08601889323],
12297  [0.94268715959, -140.75569730421, 47.10927298373]
12298  ],
12299  [
12300  [2,5,7,8,6],
12301  [1,3,5,2,0],
12302  [6,4,0],
12303  [6,8,4],
12304  [0,2,6],
12305  [4,1,0],
12306  [3,1,4,8,7],
12307  [3,7,5]
12308  ],
12309  [
12310  [0,1],
12311  [0,2],
12312  [0,4],
12313  [0,6],
12314  [1,3],
12315  [1,4],
12316  [2,5],
12317  [2,6],
12318  [3,5],
12319  [3,7],
12320  [4,6],
12321  [4,8],
12322  [5,7],
12323  [6,8],
12324  [7,8]
12325  ]
12326  ],
12327  [
12328  "tridiminished_rhombicosidodecahedron",
12329  "Tridiminished Rhombicosidodecahedron",
12330  "J83",
12331  "johnson",
12332  "Polyhedron Database #127",
12333  [
12334  [ 0.68621932859, -0.30213756917, 0.52995307974],
12335  [ 0.55516309869, -0.66290441995, 0.34956965436],
12336  [ 0.89827276299, -0.07917139338, 0.23808656646],
12337  [ 0.68621932859, -0.66290441995, -0.05377994682],
12338  [ 0.89827276299, -0.30213756917, -0.12268028431],
12339  [ 0.34310966429, -0.30213756917, 0.77923684262],
12340  [ 0.55516309869, 0.05862928160, 0.71033650513],
12341  [ 0.21205343440, -0.66290441995, 0.59885341723],
12342  [ 0.76721653310, 0.28159545740, 0.41846999185],
12343  [ 0.55516309869, -0.66290441995, -0.45712954800],
12344  [ 0.76721653310, -0.30213756917, -0.52602988550],
12345  [-0.00000000000, -0.07917139338, 0.89071993052],
12346  [ 0.21205343440, 0.28159545740, 0.82181959303],
12347  [-0.21205343440, -0.66290441995, 0.59885341723],
12348  [ 0.55516309869, 0.64236230817, 0.34956965436],
12349  [ 0.21205343440, -0.66290441995, -0.70641331088],
12350  [ 0.55516309869, -0.07917139338, -0.81789639878],
12351  [-0.34310966429, -0.30213756917, 0.77923684262],
12352  [ 0.21205343440, 0.64236230817, 0.59885341723],
12353  [ 0.21205343440, -0.30213756917, -0.92937948668],
12354  [-0.21205343440, 0.28159545740, 0.82181959303],
12355  [-0.55516309869, -0.66290441995, 0.34956965436],
12356  [ 0.34310966429, 0.86532848397, 0.05770314107],
12357  [-0.21205343440, -0.66290441995, -0.70641331088],
12358  [ 0.34310966429, 0.28159545740, -0.88679673627],
12359  [-0.55516309869, 0.05862928160, 0.71033650513],
12360  [-0.21205343440, 0.64236230817, 0.59885341723],
12361  [-0.68621932859, -0.30213756917, 0.52995307974],
12362  [-0.00000000000, 0.86532848397, 0.30698690395],
12363  [-0.68621932859, -0.66290441995, -0.05377994682],
12364  [ 0.21205343440, 0.86532848397, -0.34564646011],
12365  [-0.55516309869, -0.66290441995, -0.45712954800],
12366  [ 0.21205343440, 0.64236230817, -0.70641331088],
12367  [-0.21205343440, -0.30213756917, -0.92937948668],
12368  [ 0.00000000000, 0.05862928160, -0.99827982417],
12369  [-0.76721653310, 0.28159545740, 0.41846999185],
12370  [-0.55516309869, 0.64236230817, 0.34956965436],
12371  [-0.89827276299, -0.07917139338, 0.23808656646],
12372  [-0.34310966429, 0.86532848397, 0.05770314107],
12373  [-0.89827276299, -0.30213756917, -0.12268028432],
12374  [-0.21205343440, 0.86532848397, -0.34564646011],
12375  [-0.76721653310, -0.30213756917, -0.52602988550],
12376  [-0.21205343440, 0.64236230817, -0.70641331088],
12377  [-0.55516309869, -0.07917139338, -0.81789639878],
12378  [-0.34310966429, 0.28159545740, -0.88679673627]
12379  ],
12380  [
12381  [0.91816901732, -23.76355786798, 54.74723014455],
12382  [0.93265603487, -50.05480919707, 67.98737377951],
12383  [0.93265603487, -5.03688337902, 75.20994147564],
12384  [0.95563147687, -44.00994041043, 93.22613147770],
12385  [0.95563147687, -18.59056783835, 97.37576596937],
12386  [0.90344972707, -41.36669401386, 30.40011234322],
12387  [0.90344972707, 6.02850764266, 38.16365027191],
12388  [0.91816901732, -72.26128562929, 49.29037998848],
12389  [0.91816901732, 20.15491313126, 62.88578516628],
12390  [0.97806735954, -50.05480919706, 117.86438882336],
12391  [0.97806735954, -21.49501797452, 122.53575569254],
12392  [0.89423157188, -90.00000000014, 5.07937098470],
12393  [0.89423157188, 53.01868752786, 23.21629911897],
12394  [0.91816901732, -107.73871437072, 49.29037998849],
12395  [0.91816901732, 49.16470870445, 67.62141846378],
12396  [0.99167973400, -72.26128562926, 135.42563842532],
12397  [0.99167973400, -8.11618274595, 145.56402569603],
12398  [0.90344972707, -138.63330598616, 30.40011234323],
12399  [0.90344972707, 71.73116823996, 48.48225654390],
12400  [1.00000000000, -54.93713360264, 158.33829401187],
12401  [0.89423157188, 126.98131247218, 23.21629911899],
12402  [0.93265603487, -129.94519080293, 67.98737377953],
12403  [0.93265603487, 68.37127811185, 86.45286235273],
12404  [0.99167973400, -107.73871437069, 135.42563842533],
12405  [0.99167973400, 39.37626054546, 153.41059578042],
12406  [0.90344972707, 173.97149235734, 38.16365027194],
12407  [0.90344972707, 108.26883176006, 48.48225654390],
12408  [0.91816901732, -156.23644213202, 54.74723014458],
12409  [0.91816901732, 90.00000000000, 70.46717584405],
12410  [0.95563147687, -135.99005958956, 93.22613147772],
12411  [0.95563147687, 76.23070386936, 111.20428543091],
12412  [0.97806735954, -129.94519080291, 117.86438882338],
12413  [0.97806735954, 71.73116823993, 136.24091079743],
12414  [1.00000000000, -125.06286639728, 158.33829401189],
12415  [1.00000000000, 89.99999999970, 176.63886213771],
12416  [0.91816901732, 159.84508686874, 62.88578516630],
12417  [0.91816901732, 130.83529129556, 67.62141846380],
12418  [0.93265603487, -174.96311662096, 75.20994147568],
12419  [0.93265603487, 111.62872188814, 86.45286235274],
12420  [0.95563147687, -161.40943216163, 97.37576596942],
12421  [0.95563147687, 103.76929613061, 111.20428543092],
12422  [0.97806735954, -158.50498202545, 122.53575569257],
12423  [0.97806735954, 108.26883176003, 136.24091079744],
12424  [0.99167973400, -171.88381725403, 145.56402569606],
12425  [0.99167973400, 140.62373945450, 153.41059578044]
12426  ],
12427  [
12428  [25,27,37,35],
12429  [17,27,25],
12430  [17,13,21,27],
12431  [27,21,29,39,37],
12432  [3,9,15,23,31,29,21,13,7,1],
12433  [20,11,17,25],
12434  [12,11,20],
12435  [12,6,5,11],
12436  [11,5,7,13,17],
12437  [6,0,5],
12438  [8,2,0,6],
12439  [5,0,1,7],
12440  [0,2,4,3,1],
12441  [4,10,9,3],
12442  [26,18,12,20],
12443  [28,18,26],
12444  [28,22,14,18],
12445  [18,14,8,6,12],
12446  [24,16,10,4,2,8,14,22,30,32],
12447  [36,38,28,26],
12448  [35,37,39,41,43,44,42,40,38,36],
12449  [38,40,30,22,28],
12450  [40,42,32,30],
12451  [42,44,34,24,32],
12452  [34,19,16,24],
12453  [29,31,41,39],
12454  [43,33,34,44],
12455  [41,31,23,33,43],
12456  [33,19,34],
12457  [23,15,19,33],
12458  [36,26,20,25,35],
12459  [15,9,10,16,19]
12460  ],
12461  [
12462  [0,1],
12463  [0,2],
12464  [0,5],
12465  [0,6],
12466  [1,3],
12467  [1,7],
12468  [2,4],
12469  [2,8],
12470  [3,4],
12471  [3,9],
12472  [4,10],
12473  [5,6],
12474  [5,7],
12475  [5,11],
12476  [6,8],
12477  [6,12],
12478  [7,13],
12479  [8,14],
12480  [9,10],
12481  [9,15],
12482  [10,16],
12483  [11,12],
12484  [11,17],
12485  [11,20],
12486  [12,18],
12487  [12,20],
12488  [13,17],
12489  [13,21],
12490  [14,18],
12491  [14,22],
12492  [15,19],
12493  [15,23],
12494  [16,19],
12495  [16,24],
12496  [17,25],
12497  [17,27],
12498  [18,26],
12499  [18,28],
12500  [19,33],
12501  [19,34],
12502  [20,25],
12503  [20,26],
12504  [21,27],
12505  [21,29],
12506  [22,28],
12507  [22,30],
12508  [23,31],
12509  [23,33],
12510  [24,32],
12511  [24,34],
12512  [25,27],
12513  [25,35],
12514  [26,28],
12515  [26,36],
12516  [27,37],
12517  [28,38],
12518  [29,31],
12519  [29,39],
12520  [30,32],
12521  [30,40],
12522  [31,41],
12523  [32,42],
12524  [33,34],
12525  [33,43],
12526  [34,44],
12527  [35,36],
12528  [35,37],
12529  [36,38],
12530  [37,39],
12531  [38,40],
12532  [39,41],
12533  [40,42],
12534  [41,43],
12535  [42,44],
12536  [43,44]
12537  ]
12538  ],
12539  [
12540  "trigyrate_rhombicosidodecahedron",
12541  "Trigyrate Rhombicosidodecahedron",
12542  "J75",
12543  "johnson",
12544  "Polyhedron Database #119",
12545  [
12546  [ 0.81014642261, -0.30819801214, -0.49867486605],
12547  [ 0.58622745890, -0.68915170731, -0.42591918399],
12548  [ 0.94853595364, -0.30819801214, -0.07275568693],
12549  [ 0.72461703139, -0.68915172911, 0.00000000860],
12550  [ 0.84839634805, 0.13783034304, -0.51110302027],
12551  [ 0.58622745831, -0.07275568039, -0.80687287916],
12552  [ 0.98678587908, 0.13783034304, -0.08518384115],
12553  [ 0.36230849555, -0.92459403906, -0.11772117019],
12554  [ 0.22391896430, -0.68915170731, -0.68915171272],
12555  [ 0.94853595423, -0.07275568039, 0.30819800824],
12556  [ 0.22391896394, -0.30819801214, -0.92459404447],
12557  [ 0.58622752731, -0.68915174258, 0.42591919647],
12558  [ 0.00000000095, -0.92459403906, -0.38095369892],
12559  [ 0.72461703235, -0.30819803394, 0.61639603551],
12560  [ 0.22391896585, -0.92459403906, 0.30819800936],
12561  [ 0.62447738411, 0.51878403820, -0.58385870162],
12562  [ 0.36230849437, 0.30819801477, -0.87962856052],
12563  [ 0.84839634900, 0.51878403820, 0.10529300665],
12564  [-0.22391896335, -0.68915170731, -0.68915171203],
12565  [ 0.00000000000, 0.07275568302, -0.99734972583],
12566  [ 0.81014642416, 0.30819801477, 0.49867485603],
12567  [-0.22391896371, -0.30819801214, -0.92459404378],
12568  [ 0.36230849694, -0.51878403557, 0.77433554017],
12569  [ 0.62447738470, 0.75422636995, -0.20290500646],
12570  [-0.36230849283, -0.92459403906, -0.11772116907],
12571  [ 0.58622746081, 0.07275568302, 0.80687286984],
12572  [-0.22391896180, -0.92459403906, 0.30819801005],
12573  [ 0.22391896430, 0.68915170994, -0.68915171272],
12574  [ 0.00000000256, -0.75422636732, 0.65661437486],
12575  [ 0.58622746022, 0.68915170994, 0.42591917467],
12576  [-0.58622745713, -0.68915170731, -0.42591918218],
12577  [ 0.22391896686, -0.13783034041, 0.96481238797],
12578  [-0.36230849401, 0.30819801477, -0.87962855939],
12579  [ 0.22391896489, 0.92459404169, -0.30819801756],
12580  [-0.58622745772, -0.07275568039, -0.80687287734],
12581  [ 0.36230849592, 0.92459404169, 0.11772116156],
12582  [-0.22391896335, 0.68915170994, -0.68915171203],
12583  [-0.72461702830, -0.68915172911, 0.00000001084],
12584  [ 0.22391896680, 0.30819801477, 0.92459403627],
12585  [-0.58622752290, -0.68915174258, 0.42591919829],
12586  [-0.81014642107, -0.30819801214, -0.49867486354],
12587  [-0.36230849145, -0.51878403557, 0.77433554130],
12588  [ 0.22391896644, 0.68915170994, 0.68915170452],
12589  [-0.22391896078, -0.13783034041, 0.96481238866],
12590  [-0.22391896276, 0.92459404169, -0.30819801686],
12591  [-0.62447738283, 0.51878403820, -0.58385869969],
12592  [-0.84839634654, 0.13783034304, -0.51110301764],
12593  [ 0.00000000214, 0.92459404169, 0.38095369141],
12594  [-0.94853595077, -0.30819801214, -0.07275568399],
12595  [-0.22391896085, 0.30819801477, 0.92459403697],
12596  [-0.72461702735, -0.30819803394, 0.61639603776],
12597  [-0.22391898684, 0.68915173173, 0.68915174049],
12598  [-0.36230849246, 0.92459404169, 0.11772116269],
12599  [-0.62447738224, 0.75422636995, -0.20290500453],
12600  [-0.58622745522, 0.07275568302, 0.80687287165],
12601  [-0.98678587625, 0.13783034304, -0.08518383809],
12602  [-0.94853595018, -0.07275568039, 0.30819801118],
12603  [-0.58622749727, 0.68915174521, 0.42591923356],
12604  [-0.84839634559, 0.51878403820, 0.10529300928],
12605  [-0.81014644515, 0.30819803657, 0.49867489381]
12606  ],
12607  [
12608  [0.99999993139, -20.82794625364, 119.91237076139],
12609  [0.99999993027, -49.61382234416, 115.20886052090],
12610  [0.99999993001, -17.99999990276, 94.17228054250],
12611  [0.99999997396, -43.56299975178, 89.99999950735],
12612  [0.99999993208, 9.22764496004, 120.73733164675],
12613  [0.99999993251, -7.07470496475, 143.79152409877],
12614  [0.99999993070, 7.95140480699, 94.88659687324],
12615  [0.99999992846, -68.60193099443, 96.76060349837],
12616  [0.99999993070, -71.99999993198, 133.56300081327],
12617  [0.99999992889, -4.38617747094, 72.04933107129],
12618  [0.99999993208, -53.99999987008, 157.60722921332],
12619  [1.00000000000, -49.61382049157, 64.79114056952],
12620  [0.99999992889, -89.99999994082, 112.39277115638],
12621  [0.99999997215, -23.04128215601, 51.94656985846],
12622  [0.99999992665, -76.38617742215, 72.04933096210],
12623  [0.99999993251, 39.71807767282, 125.72240615218],
12624  [0.99999993294, 40.38617766555, 151.59759642355],
12625  [0.99999993027, 31.44527815788, 83.95595139326],
12626  [0.99999993001, -107.99999999622, 133.56300079611],
12627  [0.99999993251, 89.99999999999, 175.82771969239],
12628  [0.99999992846, 20.82794637973, 60.08762980391],
12629  [0.99999993139, -126.00000010249, 157.60722920519],
12630  [0.99999992565, -55.07031437910, 39.25516564935],
12631  [0.99999993139, 50.37623714233, 101.70688835168],
12632  [0.99999992734, -111.39806885915, 96.76060344119],
12633  [0.99999992665, 7.07470518792, 36.20847634635],
12634  [0.99999992596, -103.61382234103, 72.04933090746],
12635  [0.99999993251, 71.99999999621, 133.56300071454],
12636  [0.99999992522, -89.99999980532, 48.95782221870],
12637  [0.99999992889, 49.61382238836, 64.79114003198],
12638  [0.99999992846, -130.38617757042, 115.20886045472],
12639  [0.99999992522, -31.61382184960, 15.24452363152],
12640  [0.99999993182, 139.61382230595, 151.59759640696],
12641  [0.99999993139, 76.38617751532, 107.95066944356],
12642  [0.99999993070, -172.92529502820, 143.79152406436],
12643  [0.99999993001, 68.60193103016, 83.23939700984],
12644  [0.99999993182, 107.99999993197, 133.56300069739],
12645  [0.99999997172, -136.43700012618, 89.99999937870],
12646  [0.99999992596, 53.99999975385, 22.39277116748],
12647  [0.99999999819, -130.38617929570, 64.79114040561],
12648  [0.99999992889, -159.17205371004, 119.91237067797],
12649  [0.99999992453, -124.92968521333, 39.25516546918],
12650  [0.99999992734, 71.99999983560, 46.43699965184],
12651  [0.99999992453, -148.38617745588, 15.24452333482],
12652  [0.99999993070, 103.61382235966, 107.95066941460],
12653  [0.99999993058, 140.28192226938, 125.72240609513],
12654  [0.99999992946, 170.77235502383, 120.73733156082],
12655  [0.99999992846, 89.99999986765, 67.60722929848],
12656  [0.99999992708, -162.00000004638, 94.17228038589],
12657  [0.99999992526, 125.99999952143, 22.39277096689],
12658  [0.99999996991, -156.95871770158, 51.94656959463],
12659  [0.99999997172, 108.00000116584, 46.43699922618],
12660  [0.99999992889, 111.39806878419, 83.23939693745],
12661  [0.99999992946, 129.62376274669, 101.70688826136],
12662  [0.99999992484, 172.92529474527, 36.20847602836],
12663  [0.99999992765, 172.04859517050, 94.88659671233],
12664  [0.99999992596, -175.61382251042, 72.04933083984],
12665  [1.00000000000, 130.38617795168, 64.79113822081],
12666  [0.99999992765, 148.55472173940, 83.95595122587],
12667  [0.99999997103, 159.17205276679, 60.08762870951]
12668  ],
12669  [
12670  [30,24,12,18],
12671  [37,24,30],
12672  [37,39,26,24],
12673  [24,26,14,7,12],
12674  [26,28,14],
12675  [39,41,28,26],
12676  [14,28,22,11],
12677  [22,13,11],
12678  [22,31,25,13],
12679  [28,41,43,31,22],
12680  [31,38,25],
12681  [43,49,38,31],
12682  [40,48,37,30],
12683  [55,56,48],
12684  [55,58,59,56],
12685  [48,56,50,39,37],
12686  [58,57,59],
12687  [53,52,57,58],
12688  [56,59,54,50],
12689  [50,41,39],
12690  [50,54,43,41],
12691  [59,57,51,49,54],
12692  [54,49,43],
12693  [51,42,38,49],
12694  [40,46,55,48],
12695  [34,46,40],
12696  [34,32,45,46],
12697  [46,45,53,58,55],
12698  [32,36,45],
12699  [27,33,44,36],
12700  [45,36,44,53],
12701  [44,52,53],
12702  [52,47,51,57],
12703  [44,33,35,47,52],
12704  [47,42,51],
12705  [35,29,42,47],
12706  [21,19,32,34],
12707  [10,19,21],
12708  [10,5,16,19],
12709  [19,16,27,36,32],
12710  [16,15,27],
12711  [5,4,15,16],
12712  [27,15,23,33],
12713  [23,35,33],
12714  [23,17,29,35],
12715  [15,4,6,17,23],
12716  [17,20,29],
12717  [6,9,20,17],
12718  [18,8,10,21],
12719  [12,8,18],
12720  [12,7,1,8],
12721  [8,1,0,5,10],
12722  [7,3,1],
12723  [14,11,3,7],
12724  [1,3,2,0],
12725  [0,4,5],
12726  [0,2,6,4],
12727  [3,11,13,9,2],
12728  [2,9,6],
12729  [13,25,20,9],
12730  [21,34,40,30,18],
12731  [25,38,42,29,20]
12732  ],
12733  [
12734  [0,1],
12735  [0,2],
12736  [0,4],
12737  [0,5],
12738  [1,3],
12739  [1,7],
12740  [1,8],
12741  [2,3],
12742  [2,6],
12743  [2,9],
12744  [3,7],
12745  [3,11],
12746  [4,5],
12747  [4,6],
12748  [4,15],
12749  [5,10],
12750  [5,16],
12751  [6,9],
12752  [6,17],
12753  [7,12],
12754  [7,14],
12755  [8,10],
12756  [8,12],
12757  [8,18],
12758  [9,13],
12759  [9,20],
12760  [10,19],
12761  [10,21],
12762  [11,13],
12763  [11,14],
12764  [11,22],
12765  [12,18],
12766  [12,24],
12767  [13,22],
12768  [13,25],
12769  [14,26],
12770  [14,28],
12771  [15,16],
12772  [15,23],
12773  [15,27],
12774  [16,19],
12775  [16,27],
12776  [17,20],
12777  [17,23],
12778  [17,29],
12779  [18,21],
12780  [18,30],
12781  [19,21],
12782  [19,32],
12783  [20,25],
12784  [20,29],
12785  [21,34],
12786  [22,28],
12787  [22,31],
12788  [23,33],
12789  [23,35],
12790  [24,26],
12791  [24,30],
12792  [24,37],
12793  [25,31],
12794  [25,38],
12795  [26,28],
12796  [26,39],
12797  [27,33],
12798  [27,36],
12799  [28,41],
12800  [29,35],
12801  [29,42],
12802  [30,37],
12803  [30,40],
12804  [31,38],
12805  [31,43],
12806  [32,34],
12807  [32,36],
12808  [32,45],
12809  [33,35],
12810  [33,44],
12811  [34,40],
12812  [34,46],
12813  [35,47],
12814  [36,44],
12815  [36,45],
12816  [37,39],
12817  [37,48],
12818  [38,42],
12819  [38,49],
12820  [39,41],
12821  [39,50],
12822  [40,46],
12823  [40,48],
12824  [41,43],
12825  [41,50],
12826  [42,47],
12827  [42,51],
12828  [43,49],
12829  [43,54],
12830  [44,52],
12831  [44,53],
12832  [45,46],
12833  [45,53],
12834  [46,55],
12835  [47,51],
12836  [47,52],
12837  [48,55],
12838  [48,56],
12839  [49,51],
12840  [49,54],
12841  [50,54],
12842  [50,56],
12843  [51,57],
12844  [52,53],
12845  [52,57],
12846  [53,58],
12847  [54,59],
12848  [55,56],
12849  [55,58],
12850  [56,59],
12851  [57,58],
12852  [57,59],
12853  [58,59]
12854  ]
12855  ]
12856 ];
12857 
12858 //! @}
12859 
12860 //----------------------------------------------------------------------------//
12861 // openscad-amu auxiliary scripts
12862 //----------------------------------------------------------------------------//
12863 
12864 /*
12865 BEGIN_SCOPE db;
12866 BEGIN_SCOPE autostat;
12867  BEGIN_OPENSCAD;
12868  include <omdl-base.scad>;
12869  include <database/geometry/polyhedra/johnson.scad>;
12870 
12871  fs = "^";
12872 
12873  tc = dtc_polyhedra_johnson;
12874  tr = dtr_polyhedra_johnson;
12875 
12876  ids = table_get_row_ids(tr);
12877 
12878  echo
12879  (
12880  str
12881  (
12882  "no.", fs, "id", fs, "other name", fs,
12883  "vertices", fs, "faces", fs, "edges",
12884 
12885  fs, "face-verticies",
12886  fs, "face-angles",
12887  fs, "edge-lengths",
12888  fs, "edge-angles"
12889  )
12890  );
12891 
12892  for ( id = ids )
12893  {
12894  i = first(find(id, ids, c=1))+1;
12895 
12896  n = table_get_value(tr, tc, id, "n");
12897  o = table_get_value(tr, tc, id, "o");
12898  g = table_get_value(tr, tc, id, "g");
12899  d = table_get_value(tr, tc, id, "d");
12900 
12901  c = table_get_value(tr, tc, id, "c");
12902  s = table_get_value(tr, tc, id, "s");
12903  f = table_get_value(tr, tc, id, "f");
12904  e = table_get_value(tr, tc, id, "e");
12905 
12906  fo = is_empty(o) ? "-" : o;
12907 
12908  echo
12909  (
12910  str
12911  (
12912  i, fs, id, fs, fo, fs,
12913  len(c), fs, len(f), fs, len(e),
12914 
12915  fs, histogram(sort_q(polytope_face_vertex_counts(f)), m=9),
12916  fs, histogram(sort_q(round_d(polytope_face_angles(c, f), d=1)), m=9),
12917  fs, histogram(sort_q(round_s(polytope_edge_lengths(c, e), d=3)), m=9),
12918  fs, histogram(sort_q(round_d(polytope_edge_angles(c, f), d=1)), m=9),
12919 
12920  fs
12921  )
12922  );
12923  }
12924  END_OPENSCAD;
12925 
12926  BEGIN_MFSCRIPT;
12927  include --path "${INCLUDE_PATH}" {var_init,var_gen_term}.mfs;
12928  include --path "${INCLUDE_PATH}" scr_make_mf.mfs;
12929  END_MFSCRIPT;
12930 END_SCOPE;
12931 END_SCOPE;
12932 */
12933 
12934 /*
12935 BEGIN_SCOPE db;
12936 BEGIN_SCOPE dim;
12937  BEGIN_OPENSCAD;
12938  include <omdl-base.scad>;
12939  include <units/coordinate.scad>;
12940  include <tools/align.scad>;
12941  include <tools/polytope.scad>;
12942  include <database/geometry/polyhedra/johnson.scad>;
12943 
12944  config = 0;
12945 
12946  tc = dtc_polyhedra_johnson;
12947  tr = dtr_polyhedra_johnson;
12948 
12949  id = "default";
12950  sr = 100;
12951 
12952  pv = table_get_value(tr, tc, id, "c");
12953  pf = table_get_value(tr, tc, id, "f");
12954  pe = table_get_value(tr, tc, id, "e");
12955 
12956  sv = coordinate_scale3d_csc(pv, sr);
12957 
12958  if (config == 0) // png preview
12959  {
12960  $fn = 25;
12961 
12962  %polyhedron(sv, pf);
12963 
12964  polytope_frame(sv, pf, pe)
12965  {
12966  circle(r = sr / 25);
12967  color("lightblue")
12968  sphere(r = sr / 25 * (1 + 1/2));
12969  }
12970  }
12971 
12972  if (config == 1) // stl model
12973  {
12974  polyhedron(sv, pf);
12975  }
12976  END_OPENSCAD;
12977 
12978  BEGIN_MFSCRIPT;
12979  include --path "${INCLUDE_PATH}" {var_init,var_gen_png2eps}.mfs;
12980 
12981  views name "views" views "diag";
12982  defines name "ids" define "id"
12983  strings
12984  "
12985  augmented_dodecahedron
12986  augmented_hexagonal_prism
12987  augmented_pentagonal_prism
12988  augmented_sphenocorona
12989  augmented_triangular_prism
12990  augmented_tridiminished_icosahedron
12991  augmented_truncated_cube
12992  augmented_truncated_dodecahedron
12993  augmented_truncated_tetrahedron
12994  biaugmented_pentagonal_prism
12995  biaugmented_triangular_prism
12996  biaugmented_truncated_cube
12997  bigyrate_diminished_rhombicosidodecahedron
12998  bilunabirotunda
12999  diminished_rhombicosidodecahedron
13000  disphenocingulum
13001  elongated_pentagonal_cupola
13002  elongated_pentagonal_dipyramid
13003  elongated_pentagonal_gyrobicupola
13004  elongated_pentagonal_gyrobirotunda
13005  elongated_pentagonal_gyrocupolarotunda
13006  elongated_pentagonal_orthobicupola
13007  elongated_pentagonal_orthobirotunda
13008  elongated_pentagonal_orthocupolarotunda
13009  elongated_pentagonal_pyramid
13010  elongated_pentagonal_rotunds
13011  elongated_square_cupola
13012  elongated_square_dipyramid
13013  elongated_square_gyrobicupola
13014  elongated_square_pyramid
13015  elongated_triangular_cupola
13016  elongated_triangular_dipyramid
13017  elongated_triangular_gyrobicupola
13018  elongated_triangular_orthobicupola
13019  elongated_triangular_pyramid
13020  gyrate_bidiminished_rhombicosidodecahedron
13021  gyrate_rhombicosidodecahedron
13022  gyrobifastigium
13023  gyroelongated_pentagonal_bicupola
13024  gyroelongated_pentagonal_birotunda
13025  gyroelongated_pentagonal_cupola
13026  gyroelongated_pentagonal_cupolarotunda
13027  gyroelongated_pentagonal_pyramid
13028  gyroelongated_pentagonal_rotunda
13029  gyroelongated_square_bicupola
13030  gyroelongated_square_cupola
13031  gyroelongated_square_dipyramid
13032  gyroelongated_square_pyramid
13033  gyroelongated_triangular_bicupola
13034  gyroelongated_triangular_cupola
13035  hebesphenomegacorona
13036  metabiaugmented_dodecahedron
13037  metabiaugmented_hexagonal_prism
13038  metabiaugmented_truncated_dodecahedron
13039  metabidiminished_icosahedron
13040  metabidiminished_rhombicosidodecahedron
13041  metabigyrate_rhombicosidodecahedron
13042  metagyrate_diminished_rhombicosidodecahedron
13043  parabiaugmented_dodecahedron
13044  parabiaugmented_hexagonal_prism
13045  parabiaugmented_truncated_dodecahedron
13046  parabidiminished_rhombicosidodecahedron
13047  parabigyrate_rhombicosidodecahedron
13048  paragyrate_diminished_rhombicosidodecahedron
13049  pentagonal_cupola
13050  pentagonal_dipyramid
13051  pentagonal_gyrobicupola
13052  pentagonal_gyrocupolarotunda
13053  pentagonal_orthobicupola
13054  pentagonal_orthobirotunda
13055  pentagonal_orthocupolarontunda
13056  pentagonal_pyramid
13057  pentagonal_rotunda
13058  snub_disphenoid
13059  snub_square_antiprism
13060  sphenocorona
13061  sphenomegacorona
13062  square_cupola
13063  square_gyrobicupola
13064  square_orthobicupola
13065  square_pyramid
13066  triangular_cupola
13067  triangular_dipyramid
13068  triangular_hebesphenorotunda
13069  triangular_orthobicupola
13070  triaugmented_dodecahedron
13071  triaugmented_hexagonal_prism
13072  triaugmented_triangular_prism
13073  triaugmented_truncated_dodecahedron
13074  tridiminished_icosahedron
13075  tridiminished_rhombicosidodecahedron
13076  trigyrate_rhombicosidodecahedron
13077  ";
13078  variables add_opts_combine "views ids";
13079  variables add_opts "-D config=0 --viewall --autocenter --view=axes";
13080 
13081  include --path "${INCLUDE_PATH}" scr_make_mf_begin.mfs;
13082  include --path "${INCLUDE_PATH}" scr_make_mf_add_ext.mfs;
13083 
13084  include --path "${INCLUDE_PATH}" var_gen_stl.mfs;
13085  variables add_opts_combine "ids";
13086  variables add_opts "-D config=1";
13087 
13088  include --path "${INCLUDE_PATH}" scr_make_mf_add_ext.mfs;
13089  include --path "${INCLUDE_PATH}" scr_make_mf_end.mfs;
13090  END_MFSCRIPT;
13091 END_SCOPE;
13092 END_SCOPE;
13093 */
13094 
13095 //----------------------------------------------------------------------------//
13096 // end of file
13097 //----------------------------------------------------------------------------//
dtr_polyhedra_johnson
dtr_polyhedra_johnson
Definition: johnson.scad:212
dtc_polyhedra_johnson
dtc_polyhedra_johnson
Definition: johnson.scad:197