omdl  v0.6.1
OpenSCAD Mechanical Design Library
johnson.scad
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1 //! Table of polyhedra data group: \c johnson
2 /***************************************************************************//**
3  \file johnson.scad
4  \author Roy Allen Sutton
5  \date 2017
6 
7  \copyright
8 
9  This file is part of [omdl] (https://github.com/royasutton/omdl),
10  an OpenSCAD mechanical design library.
11 
12  The \em omdl is free software; you can redistribute it and/or modify
13  it under the terms of the [GNU Lesser General Public License]
14  (http://www.gnu.org/licenses/lgpl.html) as published by the Free
15  Software Foundation; either version 2.1 of the License, or (at
16  your option) any later version.
17 
18  The \em omdl is distributed in the hope that it will be useful,
19  but WITHOUT ANY WARRANTY; without even the implied warranty of
20  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
21  Lesser General Public License for more details.
22 
23  You should have received a copy of the GNU Lesser General Public
24  License along with the \em omdl; if not, write to the Free Software
25  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
26  02110-1301, USA; or see <http://www.gnu.org/licenses/>.
27 
28  \details
29 
30  This [omdl] formatted data table has been assembled using a script
31  that converts the polyhedra data obtained from [Anthony Thyssen]'s
32  [Studies into Polyhedra]. The vertices are tabulated in both their
33  original Cartesian as well as their converted spherical coordinate
34  form, which is convenient when scaling. The data originates from
35  one of three sources:
36 
37  \li [Exact Mathematics] as presented by [Anthony Thyssen],
38  \li the [Polyhedron Database] maintained by [Netlib], and
39  \li an [Encyclopedia of Polyhedra] by [George W. Hart].
40 
41  \note Include this library file using the \b include statement.
42 
43  [omdl]: https://github.com/royasutton/omdl
44 
45  [Anthony Thyssen]: http://www.ict.griffith.edu.au/anthony/anthony.html
46  [Studies into Polyhedra]: http://www.ict.griffith.edu.au/anthony/graphics/polyhedra
47  [Exact Mathematics]: http://www.ict.griffith.edu.au/anthony/graphics/polyhedra/maths.shtml
48 
49  [George W. Hart]: http://www.georgehart.com
50  [Encyclopedia of Polyhedra]: http://www.georgehart.com/virtual-polyhedra/vp.html
51 
52  [Netlib]: http://www.netlib.org
53  [Polyhedron Database]: http://www.netlib.org/polyhedra
54 
55  \ingroup database_polyhedra
56 *******************************************************************************/
57 
58 //----------------------------------------------------------------------------//
59 /***************************************************************************//**
60  \addtogroup database_polyhedra
61  @{
62  <br>
63  ### Group: johnson ###
64 
65  \amu_define caption (johnson)
66  \amu_make png_files (append=db_dim extension=png)
67  \amu_make stl_files (append=db_dim extension=stl)
68 
69  \amu_shell file_cnt ("echo ${png_files} | wc -w")
70  \amu_shell cell_num ("seq -f '(%g)' -s '^' ${file_cnt}")
71 
72  \amu_shell html_cell_titles
73  (
74  "echo ${stl_files} | grep -Po 'db_dim_\K[^.]*' | tr '\n' '^'"
75  )
76 
77  \htmlonly
78  \amu_image_table
79  (
80  type=html columns=4 image_width="200" cell_files="${png_files}"
81  table_caption="${caption}" cell_captions="${cell_num}"
82  cell_titles="${html_cell_titles}" cell_urls="${stl_files}"
83  )
84  \endhtmlonly
85 
86  \amu_define caption (johnson)
87  \amu_make eps_files (append=db_dim extension=png2eps)
88 
89  \latexonly
90  \amu_image_table
91  (
92  type=latex columns=4 image_width="1.25in" cell_files="${eps_files}"
93  table_caption="${caption}" cell_captions="${cell_num}"
94  )
95  \endlatexonly
96 
97  \amu_shell data
98  (
99  "grep -Po 'ECHO: \"\K[^\"]*' build/csg/johnson_db_autostat.log" --rmnl
100  )
101  \amu_shell columns ("echo '${data}' | awk -F '^' 'NR==1 {print NF;exit}'")
102  \amu_shell heading ("echo '${data}' | awk -F '^' 'NR==1 {print;exit}'")
103  \amu_shell texts ("echo '${data}' | awk -F '^' 'NR>1 {print}'")
104 
105  \amu_table
106  (
107  columns=${columns} column_headings="${heading}" cell_texts="${texts}"
108  )
109 *******************************************************************************/
110 //----------------------------------------------------------------------------//
111 
112 //! <matrix-2x9> \c johnson polyhedra data table columns definition.
113 //! \hideinitializer
114 dtc_polyhedra_johnson =
115 [
116  ["id", "identifier"],
117  ["n", "name"],
118  ["o", "other name"],
119  ["g", "group"],
120  ["d", "data source"],
121  ["c", "cartesian vertices"],
122  ["s", "spherical vertices"],
123  ["f", "faces"],
124  ["e", "edges"]
125 ];
126 
127 //! <matrix-9xR> \c johnson polyhedra data table rows.
128 //! \hideinitializer
129 dtr_polyhedra_johnson =
130 [
131  [
132  "augmented_dodecahedron",
133  "Augmented Dodecahedron",
134  "J58",
135  "johnson",
136  "Polyhedron Database #102",
137  [
138  [ 0.27773636804, 0.69088866138, -0.42699267518],
139  [ 0.47567343901, 0.14601464965, -0.69942968105],
140  [ 0.85065080835, 0.44721359550, -0.27639320225],
141  [-0.36280144887, 0.69088866138, -0.42699267518],
142  [-0.04253254042, -0.19073600920, -0.86780501047],
143  [ 0.47567343901, 0.69088866138, 0.18219498953],
144  [-0.56073851984, 0.14601464965, -0.69942968105],
145  [ 0.79594234746, -0.19073600920, -0.25861734576],
146  [ 0.79594234746, 0.14601464965, 0.28625666598],
147  [-0.56073851984, 0.69088866138, 0.18219498953],
148  [-0.04253254042, 0.69088866138, 0.55869367185],
149  [-0.04253254042, -0.73561002093, -0.53105435163],
150  [ 0.47567343901, -0.73561002093, -0.15455566931],
151  [-0.88100742830, -0.19073600920, -0.25861734576],
152  [-0.88100742830, 0.14601464965, 0.28625666598],
153  [ 0.47567343901, -0.19073600920, 0.72706900127],
154  [-0.56073851984, -0.73561002093, -0.15455566931],
155  [-0.04253254042, 0.14601464965, 0.89544433069],
156  [ 0.27773636804, -0.73561002093, 0.45463199540],
157  [-0.56073851984, -0.19073600920, 0.72706900127],
158  [-0.36280144888, -0.73561002093, 0.45463199540]
159  ],
160  [
161  [0.85836319656, 68.09993525174, 119.83142881234],
162  [0.85836319656, 17.06460429813, 144.57166127999],
163  [1.00000000000, 27.73230144769, 106.04505713531],
164  [0.88953627154, 117.70499212965, 118.68652279556],
165  [0.88953627154, -102.57081209745, 167.30927604114],
166  [0.85836319656, 55.45278028813, 77.74525379095],
167  [0.90826749599, 165.40447769496, 140.36018810267],
168  [0.85836319656, -13.47598249654, 107.53517687421],
169  [0.85836319656, 10.39525699122, 70.51917868900],
170  [0.90826749599, 129.06344822202, 78.42817586420],
171  [0.88953627154, 93.52280129087, 51.09190891299],
172  [0.90826749599, -93.30912412291, 125.78104858240],
173  [0.88953627154, -57.11175340200, 100.00584177064],
174  [0.93778315481, -167.78412914715, 106.00821689124],
175  [0.93778315481, 170.58956755276, 72.22690021815],
176  [0.88953627154, -21.84984732462, 35.17887830685],
177  [0.93778315481, -127.31743617720, 99.48617409343],
178  [0.90826749599, 106.24028907744, 9.63919240680],
179  [0.90826749599, -69.31550702301, 59.96370032475],
180  [0.93778315481, -161.21418990362, 39.16720701454],
181  [0.93778315481, -116.25242657785, 61.00099891251]
182  ],
183  [
184  [12,11,16,20,18],
185  [13,16,11,4,6],
186  [4,11,12,7,1],
187  [7,12,18,15,8],
188  [15,18,20,19,17],
189  [19,20,16,13,14],
190  [14,9,10,17,19],
191  [17,10,5,8,15],
192  [1,0,3,6,4],
193  [6,3,9,14,13],
194  [0,5,10,9,3],
195  [5,0,2],
196  [8,5,2],
197  [0,1,2],
198  [1,7,2],
199  [8,2,7]
200  ],
201  [
202  [0,1],
203  [0,2],
204  [0,3],
205  [0,5],
206  [1,2],
207  [1,4],
208  [1,7],
209  [2,5],
210  [2,7],
211  [2,8],
212  [3,6],
213  [3,9],
214  [4,6],
215  [4,11],
216  [5,8],
217  [5,10],
218  [6,13],
219  [7,8],
220  [7,12],
221  [8,15],
222  [9,10],
223  [9,14],
224  [10,17],
225  [11,12],
226  [11,16],
227  [12,18],
228  [13,14],
229  [13,16],
230  [14,19],
231  [15,17],
232  [15,18],
233  [16,20],
234  [17,19],
235  [18,20],
236  [19,20]
237  ]
238  ],
239  [
240  "augmented_hexagonal_prism",
241  "Augmented Hexagonal Prism",
242  "J54",
243  "johnson",
244  "Polyhedron Database #98",
245  [
246  [-0.76081614824, -0.34432368230, 0.04166666667],
247  [-0.41649246594, -0.34432368230, -0.55471944532],
248  [-0.76081614824, 0.34432368230, 0.04166666667],
249  [-0.41649246594, -0.34432368230, 0.63805277865],
250  [-0.41649246594, 0.34432368230, -0.55471944532],
251  [ 0.27215489865, -0.34432368230, -0.55471944532],
252  [-0.41649246594, 0.34432368230, 0.63805277865],
253  [ 0.27215489865, -0.34432368230, 0.63805277865],
254  [ 0.27215489865, 0.34432368230, -0.55471944532],
255  [ 0.61647858094, -0.34432368230, 0.04166666667],
256  [ 0.86602540378, 0.00000000000, -0.50000000000],
257  [ 0.27215489865, 0.34432368230, 0.63805277865],
258  [ 0.61647858094, 0.34432368230, 0.04166666667]
259  ],
260  [
261  [0.83614360054, -155.64984928691, 87.14365655167],
262  [0.77442781161, -140.41869582976, 135.74950155013],
263  [0.83614360054, 155.64984928692, 87.14365655166],
264  [0.83614360054, -140.41869582976, 40.26263642377],
265  [0.77442781161, 140.41869582977, 135.74950155013],
266  [0.70734768683, -51.67700624032, 141.64901851704],
267  [0.83614360054, 140.41869582978, 40.26263642377],
268  [0.77442781161, -51.67700624032, 34.52265131214],
269  [0.70734768683, 51.67700624031, 141.64901851704],
270  [0.70734768683, -29.18480325296, 86.62300879256],
271  [1.00000000000, 0.00000000000, 119.99999999999],
272  [0.77442781161, 51.67700624031, 34.52265131213],
273  [0.70734768683, 29.18480325297, 86.62300879256]
274  ],
275  [
276  [3,7,9,5,1,0],
277  [6,2,4,8,12,11],
278  [4,2,0,1],
279  [8,4,1,5],
280  [11,12,9,7],
281  [6,11,7,3],
282  [2,6,3,0],
283  [9,10,5],
284  [10,8,5],
285  [12,10,9],
286  [8,10,12]
287  ],
288  [
289  [0,1],
290  [0,2],
291  [0,3],
292  [1,4],
293  [1,5],
294  [2,4],
295  [2,6],
296  [3,6],
297  [3,7],
298  [4,8],
299  [5,8],
300  [5,9],
301  [5,10],
302  [6,11],
303  [7,9],
304  [7,11],
305  [8,10],
306  [8,12],
307  [9,10],
308  [9,12],
309  [10,12],
310  [11,12]
311  ]
312  ],
313  [
314  "augmented_pentagonal_prism",
315  "Augmented Pentagonal Prism",
316  "J52",
317  "johnson",
318  "Polyhedron Database #96",
319  [
320  [-0.73290407084, -0.39418110105, 0.23813496807],
321  [-0.48928675267, -0.39418110105, -0.51164204143],
322  [-0.09510565163, -0.39418110105, 0.70152264392],
323  [ 0.29907544942, -0.39418110105, -0.51164204143],
324  [ 0.54269276758, -0.39418110105, 0.23813496807],
325  [-0.73290407084, 0.39418110105, 0.23813496807],
326  [-0.48928675267, 0.39418110105, -0.51164204143],
327  [-0.09510565163, 0.39418110105, 0.70152264392],
328  [ 0.95105651630, 0.00000000000, -0.30901699437],
329  [ 0.29907544942, 0.39418110105, -0.51164204143],
330  [ 0.54269276758, 0.39418110105, 0.23813496807]
331  ],
332  [
333  [0.86558383794, -151.72710252576, 74.03114138961],
334  [0.81028257128, -141.14425100408, 129.15618921159],
335  [0.81028257128, -103.56473270009, 30.02864629380],
336  [0.71176010244, -52.81146402183, 135.95883895948],
337  [0.71176010244, -35.99251743913, 70.45348921848],
338  [0.86558383794, 151.72710252578, 74.03114138960],
339  [0.81028257128, 141.14425100410, 129.15618921159],
340  [0.81028257128, 103.56473270011, 30.02864629380],
341  [1.00000000000, 0.00000000001, 107.99999999999],
342  [0.71176010244, 52.81146402184, 135.95883895948],
343  [0.71176010244, 35.99251743914, 70.45348921849]
344  ],
345  [
346  [2,4,3,1,0],
347  [5,6,9,10,7],
348  [6,5,0,1],
349  [9,6,1,3],
350  [7,10,4,2],
351  [5,7,2,0],
352  [4,8,3],
353  [8,9,3],
354  [10,8,4],
355  [9,8,10]
356  ],
357  [
358  [0,1],
359  [0,2],
360  [0,5],
361  [1,3],
362  [1,6],
363  [2,4],
364  [2,7],
365  [3,4],
366  [3,8],
367  [3,9],
368  [4,8],
369  [4,10],
370  [5,6],
371  [5,7],
372  [6,9],
373  [7,10],
374  [8,9],
375  [8,10],
376  [9,10]
377  ]
378  ],
379  [
380  "augmented_sphenocorona",
381  "Augmented Sphenocorona",
382  "J87",
383  "johnson",
384  "Polyhedron Database #131",
385  [
386  [-0.93889108552, -0.34421436568, 0.00000000000],
387  [-0.20334578174, -0.45080219293, -0.42910203723],
388  [-0.59321618873, 0.31373367521, -0.42910412877],
389  [ 0.22575776842, 0.24969022637, -0.67749213070],
390  [ 0.65485935422, -0.45080219293, -0.42910230038],
391  [-0.20334619338, -0.45080177957, 0.42910284551],
392  [-0.59321723274, 0.31373532865, 0.42910243456],
393  [ 0.65485915337, -0.45080219293, 0.42910304636],
394  [ 0.01948424333, 0.73443056504, -0.00000065668],
395  [ 0.75129860035, 0.28614150457, 0.00000025149],
396  [ 0.22575736241, 0.24969142419, 0.67749267583]
397  ],
398  [
399  [1.00000000000, -159.86615488841, 89.99999999999],
400  [0.65475238255, -114.27896474679, 130.94736002540],
401  [0.79653287368, 152.12702286609, 122.59619941938],
402  [0.75650999088, 47.88164526254, 153.57909651454],
403  [0.90343354772, -34.54334676781, 118.35728635715],
404  [0.65475275551, -114.27902791099, 49.05257464813],
405  [0.79653338976, 152.12693974662, 57.40396896886],
406  [0.90343375645, -34.54335497541, 61.64266702645],
407  [0.73468897542, 88.48031500256, 90.00005121225],
408  [0.80394436843, 20.84996351053, 89.99998207655],
409  [0.75651075326, 47.88183325842, 26.42092690931]
410  ],
411  [
412  [1,0,5],
413  [7,4,1,5],
414  [8,3,9],
415  [10,6,8],
416  [2,3,8],
417  [6,2,8],
418  [10,5,6],
419  [7,5,10],
420  [2,1,3],
421  [4,3,1],
422  [10,9,7],
423  [9,4,7],
424  [3,4,9],
425  [8,9,10],
426  [5,0,6],
427  [0,2,6],
428  [1,2,0]
429  ],
430  [
431  [0,1],
432  [0,2],
433  [0,5],
434  [0,6],
435  [1,2],
436  [1,3],
437  [1,4],
438  [1,5],
439  [2,3],
440  [2,6],
441  [2,8],
442  [3,4],
443  [3,8],
444  [3,9],
445  [4,7],
446  [4,9],
447  [5,6],
448  [5,7],
449  [5,10],
450  [6,8],
451  [6,10],
452  [7,9],
453  [7,10],
454  [8,9],
455  [8,10],
456  [9,10]
457  ]
458  ],
459  [
460  "augmented_triangular_prism",
461  "Augmented Triangular Prism",
462  "J49",
463  "johnson",
464  "Polyhedron Database #93",
465  [
466  [ 0.43001398570, 0.57060707521, 0.41061160655],
467  [-0.71120016472, 0.57060707521, 0.41061160655],
468  [ 0.43001398570, -0.57060707521, 0.41061160655],
469  [ 0.84355853704, 0.00000000000, -0.48702874844],
470  [-0.14059308951, 0.57060707521, -0.57770883887],
471  [-0.71120016472, -0.57060707521, 0.41061160655],
472  [-0.14059308951, -0.57060707521, -0.57770883887]
473  ],
474  [
475  [0.82407909427, 52.99803303787, 60.11457316328],
476  [1.00000000000, 141.25937990129, 65.75673924112],
477  [0.82407909427, -52.99803303787, 60.11457316328],
478  [0.97405749687, 0.00000000000, 119.99999999999],
479  [0.82407909427, 103.84152264315, 134.51015501195],
480  [1.00000000000, -141.25937990129, 65.75673924112],
481  [0.82407909427, -103.84152264315, 134.51015501194]
482  ],
483  [
484  [5,1,0,2],
485  [6,4,1,5],
486  [2,3,6],
487  [2,0,3],
488  [4,3,0],
489  [6,5,2],
490  [4,0,1],
491  [3,4,6]
492  ],
493  [
494  [0,1],
495  [0,2],
496  [0,3],
497  [0,4],
498  [1,4],
499  [1,5],
500  [2,3],
501  [2,5],
502  [2,6],
503  [3,4],
504  [3,6],
505  [4,6],
506  [5,6]
507  ]
508  ],
509  [
510  "augmented_tridiminished_icosahedron",
511  "Augmented Tridiminished Icosahedron",
512  "J64",
513  "johnson",
514  "George W. Hart, Jan 1996. george@li.net",
515  [
516  [-0.73091453612, -0.39599533022, -0.17606739267],
517  [ 0.05841648846, -0.39599413782, -0.74954949000],
518  [-0.42941716067, -0.39599533022, 0.75184733858],
519  [-0.42941691445, 0.43395652800, -0.59104248537],
520  [ 0.84774736630, -0.39599441163, -0.17606658565],
521  [ 0.54624869633, -0.39599533022, 0.75184733858],
522  [ 0.05841488181, 0.43395592793, 0.91035365059],
523  [ 0.05841547154, 0.94689494300, 0.08040251034],
524  [ 0.84774631800, 0.43395652800, 0.33687224588],
525  [-0.82723798991, -0.26878605428, -1.13859728183]
526  ],
527  [
528  [0.84973412750, -151.55202367670, 101.95848639001],
529  [0.84973424155, -81.60833172960, 151.89657685252],
530  [0.95209548889, -137.31870046990, 37.84471910510],
531  [0.84973429619, 134.69874183379, 134.07198063021],
532  [0.95209590572, -25.03792269813, 100.65677509345],
533  [1.01018530989, -35.93970722840, 41.90384299537],
534  [1.01018503995, 82.33348912051, 25.68703258673],
535  [0.95209608973, 86.46980516921, 85.15572258294],
536  [1.01018562548, 27.10764897684, 70.52013410055],
537  [1.43281973923, -161.99999136161, 142.62267586606]
538  ],
539  [
540  [8,5,6],
541  [8,4,5],
542  [6,7,8],
543  [5,2,6],
544  [0,1,9],
545  [3,0,9],
546  [1,3,9],
547  [7,3,1,4,8],
548  [2,0,3,7,6],
549  [0,2,5,4,1]
550  ],
551  [
552  [0,1],
553  [0,2],
554  [0,3],
555  [0,9],
556  [1,3],
557  [1,4],
558  [1,9],
559  [2,5],
560  [2,6],
561  [3,7],
562  [3,9],
563  [4,5],
564  [4,8],
565  [5,6],
566  [5,8],
567  [6,7],
568  [6,8],
569  [7,8]
570  ]
571  ],
572  [
573  "augmented_truncated_cube",
574  "Augmented Truncated Cube",
575  "J66",
576  "johnson",
577  "Polyhedron Database #110",
578  [
579  [-0.74979229800, 0.25321139622, 0.61130638691],
580  [-0.74979229800, -0.25321139623, 0.61130638691],
581  [-0.74979229800, 0.61130638691, 0.25321139623],
582  [-0.74979229800, -0.61130638691, 0.25321139622],
583  [-0.74979229800, 0.61130638691, -0.25321139622],
584  [-0.74979229800, -0.61130638691, -0.25321139622],
585  [-0.74979229800, 0.25321139623, -0.61130638691],
586  [-0.74979229800, -0.25321139622, -0.61130638691],
587  [-0.39169730731, 0.61130638691, 0.61130638691],
588  [-0.39169730731, -0.61130638691, 0.61130638691],
589  [-0.39169730731, 0.61130638691, -0.61130638691],
590  [-0.39169730731, -0.61130638691, -0.61130638691],
591  [ 0.11472548514, 0.61130638691, 0.61130638691],
592  [ 0.11472548514, -0.61130638691, 0.61130638691],
593  [ 0.11472548514, 0.61130638691, -0.61130638691],
594  [ 0.11472548514, -0.61130638691, -0.61130638691],
595  [ 0.47282047583, 0.25321139622, 0.61130638691],
596  [ 0.47282047583, -0.25321139623, 0.61130638691],
597  [ 0.47282047583, 0.61130638691, 0.25321139623],
598  [ 0.47282047583, -0.61130638691, 0.25321139622],
599  [ 0.47282047583, 0.61130638691, -0.25321139622],
600  [ 0.47282047583, -0.61130638691, -0.25321139623],
601  [ 0.47282047583, 0.25321139623, -0.61130638691],
602  [ 0.47282047583, -0.25321139622, -0.61130638691],
603  [ 0.83091546652, 0.00000000000, 0.35809499069],
604  [ 0.83091546652, 0.35809499069, -0.00000000000],
605  [ 0.83091546652, -0.35809499069, -0.00000000000],
606  [ 0.83091546652, 0.00000000000, -0.35809499069]
607  ],
608  [
609  [1.00000000000, 161.33972610333, 52.31597669768],
610  [1.00000000000, -161.33972610331, 52.31597669769],
611  [1.00000000000, 140.80960571745, 75.33237221050],
612  [1.00000000000, -140.80960571744, 75.33237221051],
613  [1.00000000000, 140.80960571745, 104.66762778946],
614  [1.00000000000, -140.80960571745, 104.66762778948],
615  [1.00000000000, 161.33972610332, 127.68402330229],
616  [1.00000000000, -161.33972610333, 127.68402330229],
617  [0.94911420699, 122.64989987378, 49.90319627792],
618  [0.94911420699, -122.64989987377, 49.90319627793],
619  [0.94911420699, 122.64989987378, 130.09680372205],
620  [0.94911420699, -122.64989987379, 130.09680372206],
621  [0.87209686062, 79.37078926845, 45.49579789248],
622  [0.87209686062, -79.37078926845, 45.49579789250],
623  [0.87209686062, 79.37078926846, 134.50420210749],
624  [0.87209686062, -79.37078926847, 134.50420210751],
625  [0.81324701796, 28.17055914015, 41.26336495107],
626  [0.81324701796, -28.17055914017, 41.26336495108],
627  [0.81324701796, 52.27951543544, 71.85887908857],
628  [0.81324701796, -52.27951543543, 71.85887908859],
629  [0.81324701796, 52.27951543544, 108.14112091140],
630  [0.81324701796, -52.27951543543, 108.14112091143],
631  [0.81324701796, 28.17055914018, 138.73663504892],
632  [0.81324701796, -28.17055914016, 138.73663504893],
633  [0.90479419475, 0.00000000000, 66.68567769914],
634  [0.90479419475, 23.31432230086, 89.99999999999],
635  [0.90479419475, -23.31432230085, 90.00000000000],
636  [0.90479419475, 0.00000000001, 113.31432230086]
637  ],
638  [
639  [27,26,24,25],
640  [16,18,25,24],
641  [17,16,24],
642  [19,17,24,26],
643  [21,19,26],
644  [23,21,26,27],
645  [22,23,27],
646  [20,22,27,25],
647  [18,20,25],
648  [22,14,10,6,7,11,15,23],
649  [18,12,8,2,4,10,14,20],
650  [17,13,9,1,0,8,12,16],
651  [21,15,11,5,3,9,13,19],
652  [2,0,1,3,5,7,6,4],
653  [23,15,21],
654  [11,7,5],
655  [19,13,17],
656  [9,3,1],
657  [16,12,18],
658  [8,0,2],
659  [20,14,22],
660  [10,4,6]
661  ],
662  [
663  [0,1],
664  [0,2],
665  [0,8],
666  [1,3],
667  [1,9],
668  [2,4],
669  [2,8],
670  [3,5],
671  [3,9],
672  [4,6],
673  [4,10],
674  [5,7],
675  [5,11],
676  [6,7],
677  [6,10],
678  [7,11],
679  [8,12],
680  [9,13],
681  [10,14],
682  [11,15],
683  [12,16],
684  [12,18],
685  [13,17],
686  [13,19],
687  [14,20],
688  [14,22],
689  [15,21],
690  [15,23],
691  [16,17],
692  [16,18],
693  [16,24],
694  [17,19],
695  [17,24],
696  [18,20],
697  [18,25],
698  [19,21],
699  [19,26],
700  [20,22],
701  [20,25],
702  [21,23],
703  [21,26],
704  [22,23],
705  [22,27],
706  [23,27],
707  [24,25],
708  [24,26],
709  [25,27],
710  [26,27]
711  ]
712  ],
713  [
714  "augmented_truncated_dodecahedron",
715  "Augmented Truncated Dodecahedron",
716  "J68",
717  "johnson",
718  "Polyhedron Database #112",
719  [
720  [-0.03851423300, -0.38441940297, 0.92235479967],
721  [-0.03851423300, -0.65306162919, 0.75632477305],
722  [-0.19641817172, -0.11577717675, 0.97366089947],
723  [-0.19641817172, -0.81909165581, 0.53898864663],
724  [ 0.11938970571, -0.11577717675, 0.97366089947],
725  [ 0.11938970571, -0.81909165581, 0.53898864663],
726  [-0.45191211152, 0.05025284987, 0.89064588616],
727  [-0.45191211152, -0.81909165581, 0.35336143372],
728  [ 0.37488364551, 0.05025284987, 0.89064588616],
729  [ 0.37488364551, -0.81909165581, 0.35336143372],
730  [-0.70740605132, 0.05025284987, 0.70501867325],
731  [-0.70740605132, -0.65306162919, 0.27034642041],
732  [-0.86530999004, -0.11577717675, 0.48768254683],
733  [-0.86530999004, -0.38441940297, 0.32165252021],
734  [ 0.63037758531, 0.05025284987, 0.70501867325],
735  [-0.54950211261, 0.31889507609, 0.75632477305],
736  [ 0.63037758531, -0.65306162919, 0.27034642041],
737  [-0.54950211261, -0.81909165581, 0.05301029399],
738  [ 0.47247364660, 0.31889507609, 0.75632477305],
739  [ 0.47247364660, -0.81909165581, 0.05301029399],
740  [ 0.78828152403, -0.11577717675, 0.48768254683],
741  [ 0.78828152403, -0.38441940297, 0.32165252021],
742  [-0.96289999112, -0.11577717675, 0.18733140710],
743  [-0.45191211152, 0.58753730232, 0.62200365994],
744  [-0.45191211152, -0.81909165581, -0.24734084574],
745  [ 0.37488364551, 0.58753730232, 0.62200365994],
746  [ 0.37488364551, -0.81909165581, -0.24734084574],
747  [ 0.88587152512, -0.11577717675, 0.18733140710],
748  [-0.19641817172, 0.75356732894, 0.53898864663],
749  [ 0.11938970571, 0.75356732894, 0.53898864663],
750  [-0.19641817172, -0.81909165581, -0.43296805866],
751  [ 0.11938970571, -0.81909165581, -0.43296805866],
752  [-0.96289999112, 0.05025284987, -0.08131081912],
753  [-0.45191211152, 0.75356732894, 0.35336143372],
754  [-0.45191211152, -0.65306162919, -0.51598307196],
755  [ 0.37488364551, 0.75356732894, 0.35336143372],
756  [ 0.37488364551, -0.65306162919, -0.51598307196],
757  [ 0.88587152512, 0.05025284987, -0.08131081912],
758  [-0.86530999004, 0.31889507609, -0.21563193223],
759  [-0.86530999004, 0.05025284987, -0.38166195885],
760  [-0.54950211261, 0.75356732894, 0.05301029399],
761  [-0.54950211261, -0.38441940297, -0.65030418508],
762  [ 0.47247364660, 0.75356732894, 0.05301029399],
763  [-0.70740605132, 0.58753730232, -0.16432583243],
764  [ 0.47247364660, -0.38441940297, -0.65030418508],
765  [-0.70740605132, -0.11577717675, -0.59899808527],
766  [ 0.78828152403, 0.31889507609, -0.21563193223],
767  [ 0.78828152403, 0.05025284987, -0.38166195885],
768  [ 0.63037758531, 0.58753730232, -0.16432583243],
769  [ 0.63037758531, -0.11577717675, -0.59899808527],
770  [-0.45191211152, 0.75356732894, -0.24734084574],
771  [-0.45191211152, -0.11577717675, -0.78462529819],
772  [ 0.37488364551, 0.75356732894, -0.24734084574],
773  [ 0.37488364551, -0.11577717675, -0.78462529819],
774  [ 0.64704794768, 0.46739684642, -0.45591284402],
775  [ 0.64704794768, 0.19875462020, -0.62194287064],
776  [-0.19641817172, 0.75356732894, -0.43296805866],
777  [-0.19641817172, 0.05025284987, -0.86764031150],
778  [ 0.11938970571, 0.75356732894, -0.43296805866],
779  [ 0.11938970571, 0.05025284987, -0.86764031150],
780  [ 0.39155400788, 0.63342687304, -0.53892785733],
781  [ 0.39155400788, 0.19875462020, -0.80757008355],
782  [-0.03851423300, 0.58753730232, -0.65030418508],
783  [-0.03851423300, 0.31889507609, -0.81633421169],
784  [ 0.23365006916, 0.46739684642, -0.75626398375]
785  ],
786  [
787  [1.00000000000, -95.72126112155, 22.72719775062],
788  [1.00000000000, -93.37510259055, 40.85873946672],
789  [1.00000000000, -149.48310428469, 13.17941036547],
790  [1.00000000000, -103.48489724682, 57.38518185222],
791  [0.98776201772, -44.11991696242, 9.69295648908],
792  [0.98776201772, -81.70704420209, 56.92977806848],
793  [1.00000000000, 173.65474951771, 27.04547882984],
794  [1.00000000000, -118.88655355039, 69.30694618686],
795  [0.96763277700, 7.63493884668, 23.00981515016],
796  [0.96763277700, -65.40727491295, 68.58125692566],
797  [1.00000000000, 175.93663715162, 45.16894734660],
798  [1.00000000000, -137.28748653415, 74.31511808259],
799  [1.00000000000, -172.37917180792, 60.81162441972],
800  [1.00000000000, -156.04651405073, 71.23710822170],
801  [0.94707580405, 4.55790322760, 41.89101133951],
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803  [0.94707580405, -46.01256425046, 73.41402160486],
804  [0.98776201772, -123.85638297522, 86.92362540718],
805  [0.94707580405, 34.01729757595, 37.00438214972],
806  [0.94707580405, -60.02251906212, 86.79132940792],
807  [0.93414473304, -8.35545752341, 58.52925410078],
808  [0.93414473304, -25.99699449319, 69.85919847897],
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810  [0.96763277700, 127.56616215954, 49.99835355923],
811  [0.96763277700, -118.88655355038, 104.80999268679],
812  [0.93414473304, 57.45970936772, 48.25215319837],
813  [0.93414473304, -65.40727491295, 105.35375377719],
814  [0.91283392233, -7.44595282122, 78.15764581783],
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816  [0.93414473304, 80.99730267312, 54.76115199685],
817  [0.94707580405, -103.48489724681, 117.20419496133],
818  [0.93414473304, -81.70704420208, 117.61263225760],
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820  [0.94707580405, 120.95099218291, 68.09258431123],
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825  [0.94707580405, 159.76950549616, 103.16062846333],
826  [0.94707580405, 176.67628272662, 113.76522348900],
827  [0.93414473304, 126.09957137106, 86.74686532933],
828  [0.93414473304, -145.02422343268, 134.11887101442],
829  [0.89101355615, 57.91300118555, 86.58920929992],
830  [0.93414473304, 140.28861536852, 100.13164576895],
831  [0.89101355615, -39.13288508080, 136.87362683013],
832  [0.93414473304, -170.70512773844, 129.88331565772],
833  [0.87725649663, 22.02553079857, 104.22927014705],
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838  [0.91283392233, -165.63023159008, 149.26595933447],
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840  [0.87725649663, -17.16251685320, 153.43250038610],
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842  [0.91923195113, 17.07546012197, 132.57772158490],
843  [0.89101355615, 104.60915509825, 119.07326263571],
844  [0.89101355615, 165.64893193935, 166.84748060496],
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846  [0.87725649663, 22.82692786820, 171.50871814279],
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850  [0.87725649663, 96.88648664222, 158.52127983275],
851  [0.91923195113, 63.43969099919, 145.35729477421]
852  ],
853  [
854  [30,24,17,7,3,5,9,19,26,31],
855  [24,30,34],
856  [57,51,41,34,30,31,36,44,53,59],
857  [41,51,45],
858  [31,26,36],
859  [47,49,44,36,26,19,16,21,27,37],
860  [44,49,53],
861  [19,9,16],
862  [14,20,21,16,9,5,1,0,4,8],
863  [21,20,27],
864  [5,3,1],
865  [6,2,0,1,3,7,11,13,12,10],
866  [0,2,4],
867  [7,17,11],
868  [32,22,13,11,17,24,34,41,45,39],
869  [13,22,12],
870  [56,58,52,42,35,29,28,33,40,50],
871  [58,56,62],
872  [51,57,63,62,56,50,43,38,39,45],
873  [63,57,59],
874  [50,40,43],
875  [22,32,38,43,40,33,23,15,10,12],
876  [38,32,39],
877  [33,28,23],
878  [2,6,15,23,28,29,25,18,8,4],
879  [15,6,10],
880  [29,35,25],
881  [20,14,18,25,35,42,48,46,37,27],
882  [18,14,8],
883  [42,52,48],
884  [37,46,47],
885  [64,61,55,54,60],
886  [48,52,60,54],
887  [46,48,54],
888  [47,46,54,55],
889  [49,47,55],
890  [53,49,55,61],
891  [59,53,61],
892  [63,59,61,64],
893  [63,64,62],
894  [58,62,64,60],
895  [52,58,60]
896  ],
897  [
898  [0,1],
899  [0,2],
900  [0,4],
901  [1,3],
902  [1,5],
903  [2,4],
904  [2,6],
905  [3,5],
906  [3,7],
907  [4,8],
908  [5,9],
909  [6,10],
910  [6,15],
911  [7,11],
912  [7,17],
913  [8,14],
914  [8,18],
915  [9,16],
916  [9,19],
917  [10,12],
918  [10,15],
919  [11,13],
920  [11,17],
921  [12,13],
922  [12,22],
923  [13,22],
924  [14,18],
925  [14,20],
926  [15,23],
927  [16,19],
928  [16,21],
929  [17,24],
930  [18,25],
931  [19,26],
932  [20,21],
933  [20,27],
934  [21,27],
935  [22,32],
936  [23,28],
937  [23,33],
938  [24,30],
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940  [25,29],
941  [25,35],
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944  [27,37],
945  [28,29],
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948  [30,31],
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950  [31,36],
951  [32,38],
952  [32,39],
953  [33,40],
954  [34,41],
955  [35,42],
956  [36,44],
957  [37,46],
958  [37,47],
959  [38,39],
960  [38,43],
961  [39,45],
962  [40,43],
963  [40,50],
964  [41,45],
965  [41,51],
966  [42,48],
967  [42,52],
968  [43,50],
969  [44,49],
970  [44,53],
971  [45,51],
972  [46,47],
973  [46,48],
974  [46,54],
975  [47,49],
976  [47,55],
977  [48,52],
978  [48,54],
979  [49,53],
980  [49,55],
981  [50,56],
982  [51,57],
983  [52,58],
984  [52,60],
985  [53,59],
986  [53,61],
987  [54,55],
988  [54,60],
989  [55,61],
990  [56,58],
991  [56,62],
992  [57,59],
993  [57,63],
994  [58,60],
995  [58,62],
996  [59,61],
997  [59,63],
998  [60,64],
999  [61,64],
1000  [62,63],
1001  [62,64],
1002  [63,64]
1003  ]
1004  ],
1005  [
1006  "augmented_truncated_tetrahedron",
1007  "Augmented Truncated Tetrahedron",
1008  "J65",
1009  "johnson",
1010  "Polyhedron Database #109",
1011  [
1012  [ 0.86350605182, -0.49544035708, 0.09431940974],
1013  [ 0.86350605182, 0.07622159340, 0.49854545146],
1014  [ 0.51343603081, -0.49544035708, -0.51201965285],
1015  [ 0.51343603081, 0.64788354387, 0.29643243060],
1016  [ 0.16336600980, 0.07622159340, -0.71413267372],
1017  [ 0.51343603081, -0.49544035708, 0.70065847233],
1018  [ 0.16336600980, 0.64788354387, -0.30990663199],
1019  [-0.18670401120, -0.49544035708, -0.51201965285],
1020  [-0.42008402521, 0.45732956038, -0.64676166676],
1021  [-0.18670401120, 0.64788354387, 0.29643243060],
1022  [-0.18670401120, -0.49544035708, 0.70065847233],
1023  [-0.53677403221, -0.49544035708, 0.09431940974],
1024  [-0.77015404622, -0.11433239009, -0.44464864590],
1025  [-0.53677403221, 0.07622159340, 0.49854545146],
1026  [-0.77015404622, 0.45732956038, -0.04042260417]
1027  ],
1028  [
1029  [1.00000000000, -29.84523633110, 84.58785102731],
1030  [1.00000000000, 5.04441855310, 60.09618558877],
1031  [0.87820375202, -43.97810392352, 125.66398182365],
1032  [0.87820375202, 51.60380975674, 70.27268664848],
1033  [0.73653490082, 25.01232048431, 165.83248980473],
1034  [1.00000000000, -43.97810392352, 45.52014277060],
1035  [0.73653490082, 75.84769483407, 114.88276802804],
1036  [0.73653490082, -110.64864556054, 134.04105621432],
1037  [0.89661673452, 132.56929730208, 136.16486933020],
1038  [0.73653490082, 106.07567286245, 66.26738432360],
1039  [0.87820375202, -110.64864556054, 37.07649367132],
1040  [0.73653490082, -137.29310940924, 82.64259653599],
1041  [0.89661673452, -171.55588834533, 119.73032226169],
1042  [0.73653490082, 171.91806526131, 47.39971717089],
1043  [0.89661673452, 149.29749457184, 92.58396906195]
1044  ],
1045  [
1046  [7,4,8,12],
1047  [11,7,12],
1048  [10,5,0,2,7,11],
1049  [11,13,10],
1050  [11,12,14,13],
1051  [9,13,14],
1052  [9,3,1,5,10,13],
1053  [6,3,9],
1054  [5,1,0],
1055  [6,4,2,0,1,3],
1056  [7,2,4],
1057  [8,6,9,14],
1058  [8,4,6],
1059  [12,8,14]
1060  ],
1061  [
1062  [0,1],
1063  [0,2],
1064  [0,5],
1065  [1,3],
1066  [1,5],
1067  [2,4],
1068  [2,7],
1069  [3,6],
1070  [3,9],
1071  [4,6],
1072  [4,7],
1073  [4,8],
1074  [5,10],
1075  [6,8],
1076  [6,9],
1077  [7,11],
1078  [7,12],
1079  [8,12],
1080  [8,14],
1081  [9,13],
1082  [9,14],
1083  [10,11],
1084  [10,13],
1085  [11,12],
1086  [11,13],
1087  [12,14],
1088  [13,14]
1089  ]
1090  ],
1091  [
1092  "biaugmented_pentagonal_prism",
1093  "Biaugmented Pentagonal Prism",
1094  "J53",
1095  "johnson",
1096  "Polyhedron Database #97",
1097  [
1098  [-0.36369162410, -0.36369162410, -0.44830751692],
1099  [ 0.36369162410, -0.36369162410, -0.44830751692],
1100  [-0.58846540921, -0.36369162410, 0.24347506112],
1101  [-0.96524266869, 0.00000000000, -0.26135529559],
1102  [ 0.58846540921, -0.36369162410, 0.24347506112],
1103  [-0.00000000000, -0.36369162410, 0.67102020718],
1104  [ 0.96524266869, 0.00000000000, -0.26135529559],
1105  [-0.36369162410, 0.36369162410, -0.44830751692],
1106  [ 0.36369162410, 0.36369162410, -0.44830751692],
1107  [-0.58846540921, 0.36369162410, 0.24347506112],
1108  [ 0.58846540921, 0.36369162410, 0.24347506112],
1109  [-0.00000000000, 0.36369162410, 0.67102020718]
1110  ],
1111  [
1112  [0.68229233075, -134.99999999999, 131.07609296051],
1113  [0.68229233075, -44.99999999999, 131.07609296050],
1114  [0.73337796576, -148.28252558853, 70.61031963181],
1115  [1.00000000000, 179.99999999999, 105.15049579085],
1116  [0.73337796576, -31.71747441145, 70.61031963179],
1117  [0.76324289442, -89.99999999999, 28.45760506532],
1118  [1.00000000000, 0.00000000000, 105.15049579083],
1119  [0.68229233075, 134.99999999998, 131.07609296050],
1120  [0.68229233075, 44.99999999999, 131.07609296049],
1121  [0.73337796576, 148.28252558853, 70.61031963181],
1122  [0.73337796576, 31.71747441146, 70.61031963179],
1123  [0.76324289442, 90.00000000001, 28.45760506531]
1124  ],
1125  [
1126  [1,0,2,5,4],
1127  [10,11,9,7,8],
1128  [11,10,4,5],
1129  [9,11,5,2],
1130  [8,7,0,1],
1131  [0,3,2],
1132  [3,9,2],
1133  [7,3,0],
1134  [9,3,7],
1135  [4,6,1],
1136  [6,8,1],
1137  [10,6,4],
1138  [8,6,10]
1139  ],
1140  [
1141  [0,1],
1142  [0,2],
1143  [0,3],
1144  [0,7],
1145  [1,4],
1146  [1,6],
1147  [1,8],
1148  [2,3],
1149  [2,5],
1150  [2,9],
1151  [3,7],
1152  [3,9],
1153  [4,5],
1154  [4,6],
1155  [4,10],
1156  [5,11],
1157  [6,8],
1158  [6,10],
1159  [7,8],
1160  [7,9],
1161  [8,10],
1162  [9,11],
1163  [10,11]
1164  ]
1165  ],
1166  [
1167  "biaugmented_triangular_prism",
1168  "Biaugmented Triangular Prism",
1169  "J50",
1170  "johnson",
1171  "Polyhedron Database #94",
1172  [
1173  [ 0.53205720493, 0.53205720493, 0.43963660619],
1174  [ 0.91766293548, 0.00000000000, -0.39735970712],
1175  [ 0.53205720493, -0.53205720493, 0.43963660619],
1176  [-0.00000000000, 0.53205720493, -0.48191350527],
1177  [-0.53205720493, 0.53205720493, 0.43963660619],
1178  [ 0.00000000000, -0.53205720493, -0.48191350527],
1179  [-0.53205720493, -0.53205720493, 0.43963660619],
1180  [-0.91766293548, 0.00000000000, -0.39735970712]
1181  ],
1182  [
1183  [0.87146433325, 45.00000000000, 59.70313904049],
1184  [1.00000000000, 0.00000000000, 113.41322444636],
1185  [0.87146433325, -45.00000000000, 59.70313904050],
1186  [0.71786175262, 90.00000000000, 132.16886918696],
1187  [0.87146433325, 135.00000000000, 59.70313904050],
1188  [0.71786175262, -89.99999999998, 132.16886918696],
1189  [0.87146433325, -135.00000000000, 59.70313904050],
1190  [1.00000000000, 179.99999999998, 113.41322444637]
1191  ],
1192  [
1193  [2,6,4,0],
1194  [1,0,3],
1195  [2,0,1],
1196  [5,2,1],
1197  [3,0,4],
1198  [5,6,2],
1199  [7,3,4],
1200  [6,7,4],
1201  [5,7,6],
1202  [5,3,7],
1203  [3,5,1]
1204  ],
1205  [
1206  [0,1],
1207  [0,2],
1208  [0,3],
1209  [0,4],
1210  [1,2],
1211  [1,3],
1212  [1,5],
1213  [2,5],
1214  [2,6],
1215  [3,4],
1216  [3,5],
1217  [3,7],
1218  [4,6],
1219  [4,7],
1220  [5,6],
1221  [5,7],
1222  [6,7]
1223  ]
1224  ],
1225  [
1226  "biaugmented_truncated_cube",
1227  "Biaugmented Truncated Cube",
1228  "J67",
1229  "johnson",
1230  "Polyhedron Database #111",
1231  [
1232  [-0.59153329257, -0.24502111238, 0.59153329257],
1233  [-0.24502111238, -0.59153329257, 0.59153329257],
1234  [-0.59153329257, 0.24502111238, 0.59153329257],
1235  [-0.93804547277, -0.00000000000, 0.34651218019],
1236  [ 0.24502111238, -0.59153329257, 0.59153329257],
1237  [-0.24502111238, 0.59153329257, 0.59153329257],
1238  [-0.59153329257, -0.59153329257, 0.24502111238],
1239  [ 0.59153329257, -0.24502111238, 0.59153329257],
1240  [ 0.24502111238, 0.59153329257, 0.59153329257],
1241  [-0.93804547277, -0.34651218019, 0.00000000000],
1242  [ 0.59153329257, 0.24502111238, 0.59153329257],
1243  [-0.59153329257, 0.59153329257, 0.24502111238],
1244  [-0.93804547277, 0.34651218019, 0.00000000000],
1245  [ 0.59153329257, -0.59153329257, 0.24502111238],
1246  [-0.59153329257, -0.59153329257, -0.24502111238],
1247  [ 0.93804547277, 0.00000000000, 0.34651218019],
1248  [-0.93804547277, 0.00000000000, -0.34651218019],
1249  [ 0.59153329257, 0.59153329257, 0.24502111238],
1250  [-0.59153329257, 0.59153329257, -0.24502111238],
1251  [ 0.93804547277, -0.34651218019, -0.00000000000],
1252  [ 0.59153329257, -0.59153329257, -0.24502111238],
1253  [-0.59153329257, -0.24502111238, -0.59153329257],
1254  [ 0.93804547277, 0.34651218019, -0.00000000000],
1255  [-0.24502111238, -0.59153329257, -0.59153329257],
1256  [-0.59153329257, 0.24502111238, -0.59153329257],
1257  [ 0.59153329257, 0.59153329257, -0.24502111238],
1258  [ 0.24502111238, -0.59153329257, -0.59153329257],
1259  [-0.24502111238, 0.59153329257, -0.59153329257],
1260  [ 0.93804547277, 0.00000000000, -0.34651218019],
1261  [ 0.59153329257, -0.24502111238, -0.59153329257],
1262  [ 0.24502111238, 0.59153329257, -0.59153329257],
1263  [ 0.59153329257, 0.24502111238, -0.59153329257]
1264  ],
1265  [
1266  [0.87169869677, -157.49999999998, 47.26579039909],
1267  [0.87169869677, -112.49999999999, 47.26579039910],
1268  [0.87169869677, 157.49999999999, 47.26579039909],
1269  [1.00000000000, -179.99999999998, 69.72586777264],
1270  [0.87169869677, -67.49999999998, 47.26579039910],
1271  [0.87169869677, 112.49999999999, 47.26579039909],
1272  [0.87169869677, -134.99999999999, 73.67505006310],
1273  [0.87169869677, -22.50000000000, 47.26579039911],
1274  [0.87169869677, 67.49999999999, 47.26579039909],
1275  [1.00000000000, -159.72586777263, 89.99999999999],
1276  [0.87169869677, 22.49999999999, 47.26579039910],
1277  [0.87169869677, 135.00000000000, 73.67505006309],
1278  [1.00000000000, 159.72586777264, 89.99999999998],
1279  [0.87169869677, -44.99999999999, 73.67505006310],
1280  [0.87169869677, -134.99999999999, 106.32494993689],
1281  [1.00000000000, 0.00000000000, 69.72586777265],
1282  [1.00000000000, 179.99999999999, 110.27413222734],
1283  [0.87169869677, 45.00000000000, 73.67505006310],
1284  [0.87169869677, 135.00000000000, 106.32494993688],
1285  [1.00000000000, -20.27413222735, 90.00000000001],
1286  [0.87169869677, -44.99999999999, 106.32494993690],
1287  [0.87169869677, -157.50000000000, 132.73420960089],
1288  [1.00000000000, 20.27413222736, 90.00000000000],
1289  [0.87169869677, -112.50000000000, 132.73420960089],
1290  [0.87169869677, 157.49999999999, 132.73420960088],
1291  [0.87169869677, 45.00000000000, 106.32494993689],
1292  [0.87169869677, -67.50000000000, 132.73420960090],
1293  [0.87169869677, 112.50000000001, 132.73420960089],
1294  [1.00000000000, 0.00000000001, 110.27413222735],
1295  [0.87169869677, -22.50000000000, 132.73420960090],
1296  [0.87169869677, 67.50000000000, 132.73420960089],
1297  [0.87169869677, 22.50000000001, 132.73420960090]
1298  ],
1299  [
1300  [19,15,22,28],
1301  [25,31,28,22],
1302  [17,25,22],
1303  [10,17,22,15],
1304  [7,10,15],
1305  [13,7,15,19],
1306  [20,13,19],
1307  [29,20,19,28],
1308  [31,29,28],
1309  [12,3,9,16],
1310  [14,21,16,9],
1311  [6,14,9],
1312  [0,6,9,3],
1313  [2,0,3],
1314  [11,2,3,12],
1315  [18,11,12],
1316  [24,18,12,16],
1317  [21,24,16],
1318  [20,26,23,14,6,1,4,13],
1319  [31,30,27,24,21,23,26,29],
1320  [17,8,5,11,18,27,30,25],
1321  [7,4,1,0,2,5,8,10],
1322  [13,4,7],
1323  [1,6,0],
1324  [10,8,17],
1325  [5,2,11],
1326  [25,30,31],
1327  [27,18,24],
1328  [29,26,20],
1329  [23,21,14]
1330  ],
1331  [
1332  [0,1],
1333  [0,2],
1334  [0,3],
1335  [0,6],
1336  [1,4],
1337  [1,6],
1338  [2,3],
1339  [2,5],
1340  [2,11],
1341  [3,9],
1342  [3,12],
1343  [4,7],
1344  [4,13],
1345  [5,8],
1346  [5,11],
1347  [6,9],
1348  [6,14],
1349  [7,10],
1350  [7,13],
1351  [7,15],
1352  [8,10],
1353  [8,17],
1354  [9,14],
1355  [9,16],
1356  [10,15],
1357  [10,17],
1358  [11,12],
1359  [11,18],
1360  [12,16],
1361  [12,18],
1362  [13,19],
1363  [13,20],
1364  [14,21],
1365  [14,23],
1366  [15,19],
1367  [15,22],
1368  [16,21],
1369  [16,24],
1370  [17,22],
1371  [17,25],
1372  [18,24],
1373  [18,27],
1374  [19,20],
1375  [19,28],
1376  [20,26],
1377  [20,29],
1378  [21,23],
1379  [21,24],
1380  [22,25],
1381  [22,28],
1382  [23,26],
1383  [24,27],
1384  [25,30],
1385  [25,31],
1386  [26,29],
1387  [27,30],
1388  [28,29],
1389  [28,31],
1390  [29,31],
1391  [30,31]
1392  ]
1393  ],
1394  [
1395  "bigyrate_diminished_rhombicosidodecahedron",
1396  "Bigyrate Diminished Rhombicosidodecahedron",
1397  "J79",
1398  "johnson",
1399  "Polyhedron Database #123",
1400  [
1401  [-0.55321297349, -0.72966120124, -0.40193275229],
1402  [-0.21130855286, -0.72966120124, -0.65034085439],
1403  [-0.68380884127, -0.72966120124, -0.00000000000],
1404  [ 0.21130855286, -0.72966120124, -0.65034085439],
1405  [-0.76452152635, -0.37016161864, -0.47059106309],
1406  [-0.21130855286, -0.37016161865, -0.87252381538],
1407  [-0.55321297349, -0.14797865766, -0.76143233488],
1408  [-0.89511739413, -0.37016161864, -0.06865831081],
1409  [ 0.21130855286, -0.37016161865, -0.87252381538],
1410  [-0.55321297349, -0.72966120124, 0.40193275229],
1411  [ 0.55321297349, -0.72966120124, -0.40193275229],
1412  [-0.80061733644, 0.05074782403, -0.48231930274],
1413  [-0.00000000000, -0.01066203605, -0.94118212618],
1414  [-0.21130855286, -0.72966120124, 0.65034085439],
1415  [ 0.68380884127, -0.72966120124, -0.00000000000],
1416  [-0.34190442064, 0.21152092494, -0.83009064569],
1417  [-0.93121320422, 0.05074782403, -0.08038655046],
1418  [-0.89511739413, -0.14797865766, 0.29084127179],
1419  [-0.68380884127, -0.37016161865, 0.58168254359],
1420  [ 0.55321297349, -0.14797865766, -0.76143233488],
1421  [ 0.76452152635, -0.37016161865, -0.47059106309],
1422  [ 0.21130855286, -0.72966120124, 0.65034085439],
1423  [ 0.55321297349, -0.72966120124, 0.40193275229],
1424  [-0.58930878359, 0.41024740662, -0.55097761355],
1425  [ 0.34190442064, 0.21152092494, -0.83009064569],
1426  [-0.34190442064, -0.37016161865, 0.83009064569],
1427  [ 0.89511739413, -0.37016161865, -0.06865831081],
1428  [-0.21130855286, 0.57102050754, -0.65034085439],
1429  [-0.80061733644, 0.41024740662, 0.09936324084],
1430  [ 0.80061733644, 0.05074782403, -0.48231930274],
1431  [-0.76452152635, 0.21152092494, 0.47059106309],
1432  [-0.55321297349, -0.01066203605, 0.76143233488],
1433  [ 0.34190442064, -0.37016161865, 0.83009064569],
1434  [ 0.68380884127, -0.37016161865, 0.58168254359],
1435  [-0.58930878359, 0.63243036761, -0.19147803095],
1436  [ 0.21130855286, 0.57102050754, -0.65034085439],
1437  [ 0.58930878359, 0.41024740662, -0.55097761355],
1438  [-0.00000000000, -0.14797865766, 0.94118212618],
1439  [ 0.89511739413, -0.14797865766, 0.29084127179],
1440  [ 0.93121320422, 0.05074782403, -0.08038655046],
1441  [-0.21130855286, 0.79320346853, -0.29084127179],
1442  [-0.55321297349, 0.57102050754, 0.40193275229],
1443  [-0.21130855286, 0.21152092494, 0.87252381538],
1444  [ 0.55321297349, -0.01066203605, 0.76143233488],
1445  [-0.34190442064, 0.79320346853, 0.11109148049],
1446  [ 0.21130855286, 0.79320346853, -0.29084127179],
1447  [ 0.58930878359, 0.63243036761, -0.19147803095],
1448  [ 0.21130855286, 0.21152092494, 0.87252381538],
1449  [ 0.76452152635, 0.21152092494, 0.47059106309],
1450  [ 0.80061733644, 0.41024740662, 0.09936324084],
1451  [-0.21130855286, 0.57102050754, 0.65034085439],
1452  [ 0.00000000000, 0.79320346853, 0.35949958260],
1453  [ 0.34190442064, 0.79320346853, 0.11109148049],
1454  [ 0.21130855286, 0.57102050754, 0.65034085439],
1455  [ 0.55321297349, 0.57102050754, 0.40193275229]
1456  ],
1457  [
1458  [1.00000000000, -127.16859907795, 113.69905988309],
1459  [1.00000000000, -106.15091992090, 130.56730576487],
1460  [1.00000000000, -133.14200112378, 89.99999999999],
1461  [1.00000000000, -73.84908007912, 130.56730576487],
1462  [0.97106577369, -154.16493060777, 118.98711799517],
1463  [0.97106577369, -119.72009459654, 153.96444613297],
1464  [0.95274418275, -165.02457730650, 143.05369410523],
1465  [0.97106577369, -157.53323421368, 94.05442815564],
1466  [0.97106577369, -60.27990540349, 153.96444613297],
1467  [1.00000000000, -127.16859907795, 66.30094011690],
1468  [1.00000000000, -52.83140092207, 113.69905988310],
1469  [0.93605308122, 176.37310948048, 121.01544898759],
1470  [0.94124251586, -90.00000000053, 179.35096139267],
1471  [1.00000000000, -106.15091992090, 49.43269423512],
1472  [1.00000000000, -46.85799887624, 90.00000000000],
1473  [0.92232869119, 148.25678032568, 154.15732953496],
1474  [0.93605308122, 176.88066834420, 94.92652648964],
1475  [0.95274418275, -170.61290105831, 72.22577748956],
1476  [0.97106577369, -151.57228676923, 53.20064626834],
1477  [0.95274418275, -14.97542269352, 143.05369410524],
1478  [0.97106577369, -25.83506939224, 118.98711799517],
1479  [1.00000000000, -73.84908007912, 49.43269423513],
1480  [1.00000000000, -52.83140092208, 66.30094011690],
1481  [0.90507685181, 145.15628752408, 127.50013851274],
1482  [0.92232869119, 31.74321967428, 154.15732953496],
1483  [0.97106577369, -132.72750132960, 31.25966748281],
1484  [0.97106577369, -22.46676578634, 94.05442815564],
1485  [0.89087538490, 110.30720654251, 136.88656564166],
1486  [0.90507685181, 152.86877004885, 83.69711765839],
1487  [0.93605308122, 3.62689051947, 121.01544898759],
1488  [0.92232869119, 164.53477767259, 59.32147762345],
1489  [0.94124251586, -178.89587902826, 36.00505936904],
1490  [0.97106577369, -47.27249867043, 31.25966748281],
1491  [0.97106577369, -28.42771323080, 53.20064626835],
1492  [0.88539078865, 132.97857048394, 102.48968584521],
1493  [0.89087538490, 69.69279345746, 136.88656564167],
1494  [0.90507685181, 34.84371247589, 127.50013851275],
1495  [0.95274418275, -89.99999999999, 8.93526016571],
1496  [0.95274418275, -9.38709894171, 72.22577748957],
1497  [0.93605308122, 3.11933165575, 94.92652648964],
1498  [0.87086835536, 104.91709431399, 109.50973258054],
1499  [0.89087538490, 134.09252726868, 63.18147713219],
1500  [0.92232869119, 134.97122238702, 18.91492540417],
1501  [0.94124251586, -1.10412097176, 36.00505936904],
1502  [0.87086835536, 113.31809665423, 82.67115026512],
1503  [0.87086835536, 75.08290568597, 109.50973258054],
1504  [0.88539078865, 47.02142951602, 102.48968584521],
1505  [0.92232869119, 45.02877761291, 18.91492540417],
1506  [0.92232869119, 15.46522232737, 59.32147762346],
1507  [0.90507685181, 27.13122995110, 83.69711765840],
1508  [0.89087538490, 110.30720654249, 43.11343435832],
1509  [0.87086835536, 89.99999999997, 65.61878155780],
1510  [0.87086835536, 66.68190334572, 82.67115026512],
1511  [0.89087538490, 69.69279345745, 43.11343435832],
1512  [0.89087538490, 45.90747273126, 63.18147713220]
1513  ],
1514  [
1515  [4,7,2,0],
1516  [16,17,7],
1517  [16,28,30,17],
1518  [7,17,18,9,2],
1519  [28,41,30],
1520  [34,44,41,28],
1521  [17,30,31,18],
1522  [31,25,18],
1523  [31,42,37,25],
1524  [30,41,50,42,31],
1525  [42,47,37],
1526  [50,53,47,42],
1527  [4,11,16,7],
1528  [6,11,4],
1529  [6,15,23,11],
1530  [11,23,34,28,16],
1531  [15,27,23],
1532  [35,45,40,27],
1533  [23,27,40,34],
1534  [40,44,34],
1535  [44,51,50,41],
1536  [40,45,52,51,44],
1537  [51,53,50],
1538  [52,54,53,51],
1539  [5,12,15,6],
1540  [8,12,5],
1541  [8,19,24,12],
1542  [12,24,35,27,15],
1543  [24,36,35],
1544  [19,29,36,24],
1545  [35,36,46,45],
1546  [46,52,45],
1547  [46,49,54,52],
1548  [36,29,39,49,46],
1549  [49,48,54],
1550  [39,38,48,49],
1551  [1,3,8,5],
1552  [0,2,9,13,21,22,14,10,3,1],
1553  [3,10,20,19,8],
1554  [10,14,26,20],
1555  [20,29,19],
1556  [20,26,39,29],
1557  [14,22,33,38,26],
1558  [26,38,39],
1559  [33,43,48,38],
1560  [18,25,13,9],
1561  [21,32,33,22],
1562  [13,25,37,32,21],
1563  [32,43,33],
1564  [37,47,43,32],
1565  [1,5,6,4,0],
1566  [47,53,54,48,43]
1567  ],
1568  [
1569  [0,1],
1570  [0,2],
1571  [0,4],
1572  [1,3],
1573  [1,5],
1574  [2,7],
1575  [2,9],
1576  [3,8],
1577  [3,10],
1578  [4,6],
1579  [4,7],
1580  [4,11],
1581  [5,6],
1582  [5,8],
1583  [5,12],
1584  [6,11],
1585  [6,15],
1586  [7,16],
1587  [7,17],
1588  [8,12],
1589  [8,19],
1590  [9,13],
1591  [9,18],
1592  [10,14],
1593  [10,20],
1594  [11,16],
1595  [11,23],
1596  [12,15],
1597  [12,24],
1598  [13,21],
1599  [13,25],
1600  [14,22],
1601  [14,26],
1602  [15,23],
1603  [15,27],
1604  [16,17],
1605  [16,28],
1606  [17,18],
1607  [17,30],
1608  [18,25],
1609  [18,31],
1610  [19,20],
1611  [19,24],
1612  [19,29],
1613  [20,26],
1614  [20,29],
1615  [21,22],
1616  [21,32],
1617  [22,33],
1618  [23,27],
1619  [23,34],
1620  [24,35],
1621  [24,36],
1622  [25,31],
1623  [25,37],
1624  [26,38],
1625  [26,39],
1626  [27,35],
1627  [27,40],
1628  [28,30],
1629  [28,34],
1630  [28,41],
1631  [29,36],
1632  [29,39],
1633  [30,31],
1634  [30,41],
1635  [31,42],
1636  [32,33],
1637  [32,37],
1638  [32,43],
1639  [33,38],
1640  [33,43],
1641  [34,40],
1642  [34,44],
1643  [35,36],
1644  [35,45],
1645  [36,46],
1646  [37,42],
1647  [37,47],
1648  [38,39],
1649  [38,48],
1650  [39,49],
1651  [40,44],
1652  [40,45],
1653  [41,44],
1654  [41,50],
1655  [42,47],
1656  [42,50],
1657  [43,47],
1658  [43,48],
1659  [44,51],
1660  [45,46],
1661  [45,52],
1662  [46,49],
1663  [46,52],
1664  [47,53],
1665  [48,49],
1666  [48,54],
1667  [49,54],
1668  [50,51],
1669  [50,53],
1670  [51,52],
1671  [51,53],
1672  [52,54],
1673  [53,54]
1674  ]
1675  ],
1676  [
1677  "bilunabirotunda",
1678  "Bilunabirotunda",
1679  "J91",
1680  "johnson",
1681  "Polyhedron Database #135",
1682  [
1683  [-0.35682086408, 0.57734949231, 0.35682213618],
1684  [-0.93417064306, 0.35682356646, 0.00000116931],
1685  [-0.35681953153, 0.57735068800, -0.35682057578],
1686  [ 0.35682043619, 0.57734996964, 0.35682142985],
1687  [ 0.00000000000, -0.00000066389, 0.57735009037],
1688  [-0.93417273185, -0.35682111354, 0.00000085109],
1689  [ 0.35682176874, 0.57734891250, -0.35682128211],
1690  [-0.35682213060, -0.57735066013, 0.35682255952],
1691  [ 0.93417028120, 0.35682356646, -0.00000151094],
1692  [-0.00000036186, -0.00000066389, -0.57735043200],
1693  [-0.35682291126, -0.57735066013, -0.35682212048],
1694  [ 0.35682254940, -0.57735066013, 0.35682177886],
1695  [ 0.93417236999, -0.35682111354, -0.00000119271],
1696  [ 0.35682176874, -0.57735066013, -0.35682290114]
1697  ],
1698  [
1699  [0.76679567172, 121.71742087282, 62.26765009896],
1700  [0.99999892397, 159.09472843326, 89.99993300336],
1701  [0.76679522580, 121.71727211655, 117.73223569281],
1702  [0.76679550333, 58.28263103836, 62.26770311112],
1703  [0.57735009037, -89.99999999999, 0.00006588373],
1704  [1.00000000000, -159.09490242769, 89.99995123630],
1705  [0.76679525871, 58.28248843089, 117.73229402714],
1706  [0.76679733738, -121.71745999299, 62.26767979378],
1707  [0.99999858593, 20.90527896486, 90.00008657035],
1708  [0.57735043200, -118.59337848677, 179.99992496492],
1709  [0.76679749635, -121.71751605242, 117.73227689872],
1710  [0.76679716899, -58.28250993304, 62.26773908073],
1711  [0.99999966196, -20.90510497038, 90.00006833738],
1712  [0.76679732796, -58.28256599250, 117.73234941542]
1713  ],
1714  [
1715  [10,7,11,13],
1716  [12,13,11],
1717  [4,11,7],
1718  [5,7,10],
1719  [9,10,13],
1720  [8,6,9,13,12],
1721  [4,3,8,12,11],
1722  [1,0,4,7,5],
1723  [9,2,1,5,10],
1724  [6,8,3],
1725  [0,3,4],
1726  [0,1,2],
1727  [6,2,9],
1728  [3,0,2,6]
1729  ],
1730  [
1731  [0,1],
1732  [0,2],
1733  [0,3],
1734  [0,4],
1735  [1,2],
1736  [1,5],
1737  [2,6],
1738  [2,9],
1739  [3,4],
1740  [3,6],
1741  [3,8],
1742  [4,7],
1743  [4,11],
1744  [5,7],
1745  [5,10],
1746  [6,8],
1747  [6,9],
1748  [7,10],
1749  [7,11],
1750  [8,12],
1751  [9,10],
1752  [9,13],
1753  [10,13],
1754  [11,12],
1755  [11,13],
1756  [12,13]
1757  ]
1758  ],
1759  [
1760  "diminished_rhombicosidodecahedron",
1761  "Diminished Rhombicosidodecahedron",
1762  "J76",
1763  "johnson",
1764  "Polyhedron Database #120",
1765  [
1766  [-0.00000000000, -0.01066203605, -0.94118212618],
1767  [ 0.34190442064, 0.21152092494, -0.83009064569],
1768  [-0.34190442064, 0.21152092494, -0.83009064569],
1769  [ 0.21130855286, -0.37016161865, -0.87252381538],
1770  [ 0.21130855286, 0.57102050754, -0.65034085439],
1771  [-0.21130855286, -0.37016161865, -0.87252381538],
1772  [ 0.55321297349, -0.14797865766, -0.76143233488],
1773  [-0.21130855286, 0.57102050754, -0.65034085439],
1774  [-0.55321297349, -0.14797865766, -0.76143233488],
1775  [ 0.68380884127, 0.21152092494, -0.58168254359],
1776  [-0.68380884127, 0.21152092494, -0.58168254359],
1777  [ 0.55321297349, 0.57102050754, -0.40193275229],
1778  [ 0.21130855286, -0.72966120124, -0.65034085439],
1779  [-0.55321297349, 0.57102050754, -0.40193275229],
1780  [-0.21130855286, -0.72966120124, -0.65034085439],
1781  [ 0.21130855286, 0.79320346853, -0.29084127179],
1782  [-0.21130855286, 0.79320346853, -0.29084127179],
1783  [ 0.76452152635, -0.37016161865, -0.47059106309],
1784  [ 0.89511739413, -0.01066203605, -0.29084127179],
1785  [-0.76452152635, -0.37016161865, -0.47059106309],
1786  [ 0.55321297349, -0.72966120124, -0.40193275229],
1787  [-0.89511739413, -0.01066203605, -0.29084127179],
1788  [-0.55321297349, -0.72966120124, -0.40193275229],
1789  [ 0.68380884127, 0.57102050754, -0.00000000000],
1790  [ 0.34190442064, 0.79320346853, 0.11109148049],
1791  [-0.68380884127, 0.57102050754, -0.00000000000],
1792  [ 0.89511739413, -0.37016161865, -0.06865831081],
1793  [-0.34190442064, 0.79320346853, 0.11109148049],
1794  [ 0.89511739413, 0.21152092494, 0.06865831081],
1795  [-0.89511739413, -0.37016161865, -0.06865831081],
1796  [-0.89511739413, 0.21152092494, 0.06865831081],
1797  [ 0.68380884127, -0.72966120124, 0.00000000000],
1798  [ 0.00000000000, 0.79320346853, 0.35949958260],
1799  [-0.68380884127, -0.72966120124, 0.00000000000],
1800  [ 0.55321297349, 0.57102050754, 0.40193275229],
1801  [ 0.89511739413, -0.14797865766, 0.29084127179],
1802  [-0.55321297349, 0.57102050754, 0.40193275229],
1803  [ 0.76452152635, 0.21152092494, 0.47059106309],
1804  [-0.89511739413, -0.14797865766, 0.29084127179],
1805  [-0.76452152635, 0.21152092494, 0.47059106309],
1806  [ 0.21130855286, 0.57102050754, 0.65034085439],
1807  [ 0.55321297349, -0.72966120124, 0.40193275229],
1808  [-0.21130855286, 0.57102050754, 0.65034085439],
1809  [-0.55321297349, -0.72966120124, 0.40193275229],
1810  [ 0.68380884127, -0.37016161865, 0.58168254359],
1811  [-0.68380884127, -0.37016161864, 0.58168254359],
1812  [ 0.55321297349, -0.01066203605, 0.76143233488],
1813  [ 0.21130855286, -0.72966120124, 0.65034085439],
1814  [-0.55321297349, -0.01066203605, 0.76143233488],
1815  [ 0.21130855286, 0.21152092494, 0.87252381538],
1816  [-0.21130855286, -0.72966120124, 0.65034085439],
1817  [-0.21130855286, 0.21152092494, 0.87252381538],
1818  [ 0.34190442064, -0.37016161865, 0.83009064569],
1819  [-0.34190442064, -0.37016161865, 0.83009064569],
1820  [-0.00000000000, -0.14797865766, 0.94118212618]
1821  ],
1822  [
1823  [0.94124251586, -89.99999999999, 179.35096139266],
1824  [0.92232869119, 31.74321967425, 154.15732953497],
1825  [0.92232869119, 148.25678032569, 154.15732953498],
1826  [0.97106577369, -60.27990540348, 153.96444613297],
1827  [0.89087538490, 69.69279345744, 136.88656564167],
1828  [0.97106577369, -119.72009459652, 153.96444613297],
1829  [0.95274418275, -14.97542269353, 143.05369410523],
1830  [0.89087538490, 110.30720654250, 136.88656564167],
1831  [0.95274418275, -165.02457730649, 143.05369410524],
1832  [0.92232869119, 17.18827980458, 129.09937175185],
1833  [0.92232869119, 162.81172019538, 129.09937175186],
1834  [0.89087538490, 45.90747273127, 116.81852286779],
1835  [1.00000000000, -73.84908007911, 130.56730576486],
1836  [0.89087538490, 134.09252726868, 116.81852286780],
1837  [1.00000000000, -106.15091992089, 130.56730576486],
1838  [0.87086835536, 75.08290568597, 109.50973258055],
1839  [0.87086835536, 104.91709431399, 109.50973258056],
1840  [0.97106577369, -25.83506939225, 118.98711799516],
1841  [0.94124251586, -0.68243649609, 107.99880557643],
1842  [0.97106577369, -154.16493060776, 118.98711799517],
1843  [1.00000000000, -52.83140092207, 113.69905988308],
1844  [0.94124251586, -179.31756350393, 107.99880557645],
1845  [1.00000000000, -127.16859907795, 113.69905988309],
1846  [0.89087538490, 39.86386227369, 90.00000000000],
1847  [0.87086835536, 66.68190334573, 82.67115026513],
1848  [0.89087538490, 140.13613772627, 90.00000000001],
1849  [0.97106577369, -22.46676578634, 94.05442815563],
1850  [0.87086835536, 113.31809665424, 82.67115026513],
1851  [0.92232869119, 13.29540111333, 85.73094312148],
1852  [0.97106577369, -157.53323421367, 94.05442815564],
1853  [0.92232869119, 166.70459888663, 85.73094312148],
1854  [1.00000000000, -46.85799887624, 89.99999999998],
1855  [0.87086835536, 89.99999999998, 65.61878155780],
1856  [1.00000000000, -133.14200112378, 89.99999999999],
1857  [0.89087538490, 45.90747273128, 63.18147713220],
1858  [0.95274418275, -9.38709894171, 72.22577748956],
1859  [0.89087538490, 134.09252726869, 63.18147713220],
1860  [0.92232869119, 15.46522232737, 59.32147762345],
1861  [0.95274418275, -170.61290105831, 72.22577748956],
1862  [0.92232869119, 164.53477767258, 59.32147762346],
1863  [0.89087538490, 69.69279345747, 43.11343435832],
1864  [1.00000000000, -52.83140092207, 66.30094011689],
1865  [0.89087538490, 110.30720654251, 43.11343435833],
1866  [1.00000000000, -127.16859907795, 66.30094011689],
1867  [0.97106577369, -28.42771323078, 53.20064626834],
1868  [0.97106577369, -151.57228676924, 53.20064626835],
1869  [0.94124251586, -1.10412097174, 36.00505936904],
1870  [1.00000000000, -73.84908007912, 49.43269423512],
1871  [0.94124251586, -178.89587902827, 36.00505936904],
1872  [0.92232869119, 45.02877761295, 18.91492540417],
1873  [1.00000000000, -106.15091992091, 49.43269423512],
1874  [0.92232869119, 134.97122238703, 18.91492540417],
1875  [0.97106577369, -47.27249867041, 31.25966748280],
1876  [0.97106577369, -132.72750132962, 31.25966748281],
1877  [0.95274418275, -90.00000000003, 8.93526016570]
1878  ],
1879  [
1880  [26,17,20,31],
1881  [18,17,26],
1882  [18,9,6,17],
1883  [17,6,3,12,20],
1884  [9,1,6],
1885  [11,4,1,9],
1886  [6,1,0,3],
1887  [0,5,3],
1888  [0,2,8,5],
1889  [1,4,7,2,0],
1890  [2,10,8],
1891  [7,13,10,2],
1892  [35,28,18,26],
1893  [37,28,35],
1894  [37,34,23,28],
1895  [28,23,11,9,18],
1896  [34,24,23],
1897  [40,32,24,34],
1898  [23,24,15,11],
1899  [15,4,11],
1900  [15,16,7,4],
1901  [24,32,27,16,15],
1902  [16,13,7],
1903  [27,25,13,16],
1904  [44,46,37,35],
1905  [52,46,44],
1906  [52,54,49,46],
1907  [46,49,40,34,37],
1908  [54,51,49],
1909  [53,48,51,54],
1910  [49,51,42,40],
1911  [42,32,40],
1912  [42,36,27,32],
1913  [51,48,39,36,42],
1914  [36,25,27],
1915  [39,30,25,36],
1916  [41,47,52,44],
1917  [31,20,12,14,22,33,43,50,47,41],
1918  [47,50,53,54,52],
1919  [50,43,45,53],
1920  [45,48,53],
1921  [45,38,39,48],
1922  [43,33,29,38,45],
1923  [38,30,39],
1924  [29,21,30,38],
1925  [3,5,14,12],
1926  [22,19,29,33],
1927  [14,5,8,19,22],
1928  [19,21,29],
1929  [8,10,21,19],
1930  [41,44,35,26,31],
1931  [10,13,25,30,21]
1932  ],
1933  [
1934  [0,1],
1935  [0,2],
1936  [0,3],
1937  [0,5],
1938  [1,4],
1939  [1,6],
1940  [1,9],
1941  [2,7],
1942  [2,8],
1943  [2,10],
1944  [3,5],
1945  [3,6],
1946  [3,12],
1947  [4,7],
1948  [4,11],
1949  [4,15],
1950  [5,8],
1951  [5,14],
1952  [6,9],
1953  [6,17],
1954  [7,13],
1955  [7,16],
1956  [8,10],
1957  [8,19],
1958  [9,11],
1959  [9,18],
1960  [10,13],
1961  [10,21],
1962  [11,15],
1963  [11,23],
1964  [12,14],
1965  [12,20],
1966  [13,16],
1967  [13,25],
1968  [14,22],
1969  [15,16],
1970  [15,24],
1971  [16,27],
1972  [17,18],
1973  [17,20],
1974  [17,26],
1975  [18,26],
1976  [18,28],
1977  [19,21],
1978  [19,22],
1979  [19,29],
1980  [20,31],
1981  [21,29],
1982  [21,30],
1983  [22,33],
1984  [23,24],
1985  [23,28],
1986  [23,34],
1987  [24,32],
1988  [24,34],
1989  [25,27],
1990  [25,30],
1991  [25,36],
1992  [26,31],
1993  [26,35],
1994  [27,32],
1995  [27,36],
1996  [28,35],
1997  [28,37],
1998  [29,33],
1999  [29,38],
2000  [30,38],
2001  [30,39],
2002  [31,41],
2003  [32,40],
2004  [32,42],
2005  [33,43],
2006  [34,37],
2007  [34,40],
2008  [35,37],
2009  [35,44],
2010  [36,39],
2011  [36,42],
2012  [37,46],
2013  [38,39],
2014  [38,45],
2015  [39,48],
2016  [40,42],
2017  [40,49],
2018  [41,44],
2019  [41,47],
2020  [42,51],
2021  [43,45],
2022  [43,50],
2023  [44,46],
2024  [44,52],
2025  [45,48],
2026  [45,53],
2027  [46,49],
2028  [46,52],
2029  [47,50],
2030  [47,52],
2031  [48,51],
2032  [48,53],
2033  [49,51],
2034  [49,54],
2035  [50,53],
2036  [51,54],
2037  [52,54],
2038  [53,54]
2039  ]
2040  ],
2041  [
2042  "disphenocingulum",
2043  "Disphenocingulum",
2044  "J90",
2045  "johnson",
2046  "Polyhedron Database #134",
2047  [
2048  [ 0.00000000000, -0.91099133441, -0.41242344695],
2049  [-0.00000026941, -0.26807547450, -0.92917444640],
2050  [-0.63276566284, -0.38185995726, -0.41242285227],
2051  [-0.00000000000, -0.91099226144, 0.41242344695],
2052  [ 0.63276548747, -0.38185974754, -0.41242285227],
2053  [-0.63276566284, -0.38186088429, 0.41242404163],
2054  [-0.41242406575, 0.38186068828, -0.63276369390],
2055  [-0.92917618537, 0.26807755920, 0.00000096470],
2056  [ 0.63276548747, -0.38186067457, 0.41242404163],
2057  [ 0.41242213988, 0.38186051513, -0.63276470534],
2058  [ 0.00000005633, -0.26807756307, 0.92917589152],
2059  [ 0.92917573249, 0.26807647101, -0.00000055446],
2060  [-0.41242245950, 0.38186097642, 0.63276511948],
2061  [-0.41242261897, 0.91099145800, -0.00000168831],
2062  [ 0.41242374613, 0.38186018357, 0.63276410804],
2063  [ 0.41242427492, 0.91099004546, -0.00000337405]
2064  ],
2065  [
2066  [0.99999915548, -89.99999999999, 114.35718504061],
2067  [0.96707270248, -90.00005758053, 163.90665705704],
2068  [0.84634627671, -148.88995597866, 119.16314147038],
2069  [1.00000000000, -89.99999999999, 65.64283686524],
2070  [0.84634605097, -31.11003712587, 119.16314999824],
2071  [0.84634727455, -148.88989444680, 60.83680402029],
2072  [0.84634572580, 137.20360395663, 138.38653985796],
2073  [0.96707495118, 163.90656694593, 89.99994284506],
2074  [0.84634704881, -31.11009865775, 60.83679549241],
2075  [0.84634546540, 42.79651647173, 138.38666280992],
2076  [0.96707466992, -89.99998796164, 16.09343810026],
2077  [0.96707421440, 16.09337854721, 90.00003285006],
2078  [0.84634613891, 137.20347115975, 41.61334630397],
2079  [0.99999892660, 114.35713890324, 90.00009673303],
2080  [0.84634565196, 42.79638042682, 41.61341229735],
2081  [0.99999832274, 65.64274128447, 90.00019331888]
2082  ],
2083  [
2084  [7,6,13],
2085  [15,13,6,9],
2086  [11,15,9],
2087  [7,13,12],
2088  [14,12,13,15],
2089  [11,14,15],
2090  [14,10,12],
2091  [5,7,12],
2092  [10,5,12],
2093  [3,5,10],
2094  [3,0,2,5],
2095  [2,6,7],
2096  [2,7,5],
2097  [1,6,2],
2098  [0,1,2],
2099  [8,4,0,3],
2100  [8,3,10],
2101  [14,8,10],
2102  [14,11,8],
2103  [11,4,8],
2104  [9,4,11],
2105  [6,1,9],
2106  [9,1,4],
2107  [4,1,0]
2108  ],
2109  [
2110  [0,1],
2111  [0,2],
2112  [0,3],
2113  [0,4],
2114  [1,2],
2115  [1,4],
2116  [1,6],
2117  [1,9],
2118  [2,5],
2119  [2,6],
2120  [2,7],
2121  [3,5],
2122  [3,8],
2123  [3,10],
2124  [4,8],
2125  [4,9],
2126  [4,11],
2127  [5,7],
2128  [5,10],
2129  [5,12],
2130  [6,7],
2131  [6,9],
2132  [6,13],
2133  [7,12],
2134  [7,13],
2135  [8,10],
2136  [8,11],
2137  [8,14],
2138  [9,11],
2139  [9,15],
2140  [10,12],
2141  [10,14],
2142  [11,14],
2143  [11,15],
2144  [12,13],
2145  [12,14],
2146  [13,15],
2147  [14,15]
2148  ]
2149  ],
2150  [
2151  "elongated_pentagonal_cupola",
2152  "Elongated Pentagonal Cupola",
2153  "J20",
2154  "johnson",
2155  "Polyhedron Database #64",
2156  [
2157  [-0.28328429192, 0.16705488720, -0.87185940159],
2158  [-0.74164790473, 0.16705488720, -0.53883874359],
2159  [ 0.28328429192, 0.16705488720, -0.87185940159],
2160  [-0.28328429192, 0.46491761888, -0.38990737776],
2161  [-0.28328429192, -0.39951369664, -0.87185940159],
2162  [-0.74164790473, -0.39951369664, -0.53883874360],
2163  [ 0.28328429192, 0.46491761888, -0.38990737776],
2164  [-0.91672722562, 0.16705488720, 0.00000000000],
2165  [ 0.28328429192, -0.39951369664, -0.87185940159],
2166  [-0.45836361281, 0.46491761888, 0.14893136584],
2167  [ 0.74164790473, 0.16705488720, -0.53883874359],
2168  [-0.91672722562, -0.39951369664, -0.00000000000],
2169  [ 0.45836361281, 0.46491761888, 0.14893136584],
2170  [-0.74164790473, 0.16705488720, 0.53883874359],
2171  [ 0.74164790473, -0.39951369664, -0.53883874359],
2172  [ 0.00000000000, 0.46491761888, 0.48195202384],
2173  [ 0.91672722562, 0.16705488720, 0.00000000000],
2174  [-0.74164790473, -0.39951369664, 0.53883874359],
2175  [-0.28328429192, 0.16705488720, 0.87185940159],
2176  [ 0.91672722562, -0.39951369664, -0.00000000000],
2177  [ 0.74164790473, 0.16705488720, 0.53883874359],
2178  [ 0.28328429192, 0.16705488720, 0.87185940159],
2179  [-0.28328429192, -0.39951369664, 0.87185940159],
2180  [ 0.74164790473, -0.39951369664, 0.53883874359],
2181  [ 0.28328429192, -0.39951369664, 0.87185940159]
2182  ],
2183  [
2184  [0.93182409366, 149.47182597893, 159.33309630884],
2185  [0.93182409366, 167.30607932837, 125.32841466616],
2186  [0.93182409366, 30.52817402105, 159.33309630884],
2187  [0.66964628396, 121.35484908292, 125.60956519624],
2188  [1.00000000000, -125.33941614972, 150.67543818218],
2189  [1.00000000000, -151.68937377151, 122.60462203056],
2190  [0.66964628396, 58.64515091705, 125.60956519625],
2191  [0.93182409366, 169.67233386045, 89.99999999999],
2192  [1.00000000000, -54.66058385029, 150.67543818217],
2193  [0.66964628396, 134.59328689184, 77.14978588814],
2194  [0.93182409366, 12.69392067161, 125.32841466616],
2195  [1.00000000000, -156.45221917111, 90.00000000000],
2196  [0.66964628396, 45.40671310815, 77.14978588814],
2197  [0.93182409366, 167.30607932839, 54.67158533383],
2198  [1.00000000000, -28.31062622849, 122.60462203056],
2199  [0.66964628396, 89.99999999999, 43.96934678934],
2200  [0.93182409366, 10.32766613953, 89.99999999999],
2201  [1.00000000000, -151.68937377150, 57.39537796944],
2202  [0.93182409366, 149.47182597897, 20.66690369115],
2203  [1.00000000000, -23.54778082888, 90.00000000000],
2204  [0.93182409366, 12.69392067159, 54.67158533382],
2205  [0.93182409366, 30.52817402101, 20.66690369114],
2206  [1.00000000000, -125.33941614971, 29.32456181783],
2207  [1.00000000000, -28.31062622849, 57.39537796944],
2208  [1.00000000000, -54.66058385030, 29.32456181783]
2209  ],
2210  [
2211  [24,23,19,14,8,4,5,11,17,22],
2212  [0,4,8,2],
2213  [1,5,4,0],
2214  [7,11,5,1],
2215  [13,17,11,7],
2216  [18,22,17,13],
2217  [21,24,22,18],
2218  [20,23,24,21],
2219  [16,19,23,20],
2220  [10,14,19,16],
2221  [2,8,14,10],
2222  [3,6,12,15,9],
2223  [18,13,9,15],
2224  [21,18,15],
2225  [20,21,15,12],
2226  [16,20,12],
2227  [10,16,12,6],
2228  [2,10,6],
2229  [0,2,6,3],
2230  [1,0,3],
2231  [7,1,3,9],
2232  [13,7,9]
2233  ],
2234  [
2235  [0,1],
2236  [0,2],
2237  [0,3],
2238  [0,4],
2239  [1,3],
2240  [1,5],
2241  [1,7],
2242  [2,6],
2243  [2,8],
2244  [2,10],
2245  [3,6],
2246  [3,9],
2247  [4,5],
2248  [4,8],
2249  [5,11],
2250  [6,10],
2251  [6,12],
2252  [7,9],
2253  [7,11],
2254  [7,13],
2255  [8,14],
2256  [9,13],
2257  [9,15],
2258  [10,14],
2259  [10,16],
2260  [11,17],
2261  [12,15],
2262  [12,16],
2263  [12,20],
2264  [13,17],
2265  [13,18],
2266  [14,19],
2267  [15,18],
2268  [15,21],
2269  [16,19],
2270  [16,20],
2271  [17,22],
2272  [18,21],
2273  [18,22],
2274  [19,23],
2275  [20,21],
2276  [20,23],
2277  [21,24],
2278  [22,24],
2279  [23,24]
2280  ]
2281  ],
2282  [
2283  "elongated_pentagonal_dipyramid",
2284  "Elongated Pentagonal Dipyramid",
2285  "J16",
2286  "johnson",
2287  "Polyhedron Database #60",
2288  [
2289  [-0.78872229263, 0.48745718453, -0.25627140773],
2290  [-0.48745718453, 0.48745718453, 0.67092725579],
2291  [-0.78872229263, -0.48745718453, -0.25627140773],
2292  [ 0.00000000000, 1.00000000000, 0.00000000000],
2293  [-0.48745718453, -0.48745718453, 0.67092725579],
2294  [-0.00000000000, 0.48745718453, -0.82931169612],
2295  [ 0.00000000000, -0.48745718453, -0.82931169612],
2296  [ 0.48745718453, 0.48745718453, 0.67092725579],
2297  [-0.00000000000, -1.00000000000, 0.00000000000],
2298  [ 0.78872229263, 0.48745718453, -0.25627140773],
2299  [ 0.48745718453, -0.48745718453, 0.67092725579],
2300  [ 0.78872229263, -0.48745718453, -0.25627140773]
2301  ],
2302  [
2303  [0.96196278310, 148.28252558853, 105.45043708632],
2304  [0.96196278310, 135.00000000000, 45.77670183608],
2305  [0.96196278310, -148.28252558853, 105.45043708632],
2306  [1.00000000000, 89.99999999999, 89.99999999999],
2307  [0.96196278310, -134.99999999999, 45.77670183608],
2308  [0.96196278310, 89.99999999999, 149.55361568292],
2309  [0.96196278310, -89.99999999999, 149.55361568292],
2310  [0.96196278310, 45.00000000000, 45.77670183608],
2311  [1.00000000000, -89.99999999999, 89.99999999999],
2312  [0.96196278310, 31.71747441146, 105.45043708632],
2313  [0.96196278310, -44.99999999999, 45.77670183608],
2314  [0.96196278310, -31.71747441146, 105.45043708632]
2315  ],
2316  [
2317  [7,9,11,10],
2318  [8,10,11],
2319  [3,9,7],
2320  [9,5,6,11],
2321  [8,11,6],
2322  [3,5,9],
2323  [5,0,2,6],
2324  [8,6,2],
2325  [3,0,5],
2326  [0,1,4,2],
2327  [8,2,4],
2328  [3,1,0],
2329  [1,7,10,4],
2330  [8,4,10],
2331  [3,7,1]
2332  ],
2333  [
2334  [0,1],
2335  [0,2],
2336  [0,3],
2337  [0,5],
2338  [1,3],
2339  [1,4],
2340  [1,7],
2341  [2,4],
2342  [2,6],
2343  [2,8],
2344  [3,5],
2345  [3,7],
2346  [3,9],
2347  [4,8],
2348  [4,10],
2349  [5,6],
2350  [5,9],
2351  [6,8],
2352  [6,11],
2353  [7,9],
2354  [7,10],
2355  [8,10],
2356  [8,11],
2357  [9,11],
2358  [10,11]
2359  ]
2360  ],
2361  [
2362  "elongated_pentagonal_gyrobicupola",
2363  "Elongated Pentagonal Gyrobicupola",
2364  "J39",
2365  "johnson",
2366  "Polyhedron Database #83",
2367  [
2368  [ 0.95542256322, -0.29524180884, 0.00000000000],
2369  [ 0.95542256322, 0.29524180884, 0.00000000000],
2370  [ 0.77295309045, -0.29524180884, -0.56158329237],
2371  [ 0.77295309045, 0.29524180884, -0.56158329237],
2372  [ 0.77295309045, -0.29524180884, 0.56158329237],
2373  [ 0.77295309045, 0.29524180884, 0.56158329237],
2374  [ 0.47771128161, -0.60567741786, -0.15521780451],
2375  [ 0.29524180884, -0.29524180884, -0.90866085457],
2376  [ 0.29524180884, 0.29524180884, -0.90866085457],
2377  [ 0.47771128161, 0.60567741786, 0.15521780451],
2378  [ 0.29524180884, 0.60567741786, -0.40636548786],
2379  [ 0.29524180884, -0.60567741786, 0.40636548786],
2380  [ 0.00000000000, -0.60567741786, -0.50229536671],
2381  [ 0.29524180884, -0.29524180884, 0.90866085457],
2382  [ 0.29524180884, 0.29524180884, 0.90866085457],
2383  [-0.29524180884, -0.29524180884, -0.90866085457],
2384  [-0.29524180884, 0.29524180884, -0.90866085457],
2385  [-0.00000000000, 0.60567741786, 0.50229536671],
2386  [-0.29524180884, 0.60567741786, -0.40636548786],
2387  [-0.29524180884, -0.60567741786, 0.40636548786],
2388  [-0.47771128161, -0.60567741786, -0.15521780451],
2389  [-0.29524180884, -0.29524180884, 0.90866085457],
2390  [-0.29524180884, 0.29524180884, 0.90866085457],
2391  [-0.47771128161, 0.60567741786, 0.15521780451],
2392  [-0.77295309045, -0.29524180884, -0.56158329237],
2393  [-0.77295309045, 0.29524180884, -0.56158329237],
2394  [-0.77295309045, -0.29524180884, 0.56158329237],
2395  [-0.77295309045, 0.29524180884, 0.56158329237],
2396  [-0.95542256322, -0.29524180884, -0.00000000000],
2397  [-0.95542256322, 0.29524180884, -0.00000000000]
2398  ],
2399  [
2400  [1.00000000000, -17.17203785052, 89.99999999999],
2401  [1.00000000000, 17.17203785052, 89.99999999999],
2402  [1.00000000000, -20.90515744788, 124.16536382817],
2403  [1.00000000000, 20.90515744789, 124.16536382816],
2404  [1.00000000000, -20.90515744789, 55.83463617183],
2405  [1.00000000000, 20.90515744789, 55.83463617182],
2406  [0.78685816379, -51.73636802935, 101.37693750355],
2407  [1.00000000000, -44.99999999999, 155.32094261067],
2408  [1.00000000000, 45.00000000000, 155.32094261066],
2409  [0.78685816379, 51.73636802935, 78.62306249645],
2410  [0.78685816379, 64.01274853923, 121.09379417367],
2411  [0.78685816379, -64.01274853925, 58.90620582632],
2412  [0.78685816379, -89.99999999999, 129.66931460377],
2413  [1.00000000000, -45.00000000000, 24.67905738933],
2414  [1.00000000000, 44.99999999998, 24.67905738932],
2415  [1.00000000000, -135.00000000001, 155.32094261067],
2416  [1.00000000000, 134.99999999999, 155.32094261066],
2417  [0.78685816379, 89.99999999999, 50.33068539622],
2418  [0.78685816379, 115.98725146074, 121.09379417367],
2419  [0.78685816379, -115.98725146076, 58.90620582632],
2420  [0.78685816379, -128.26363197064, 101.37693750354],
2421  [1.00000000000, -134.99999999999, 24.67905738933],
2422  [1.00000000000, 135.00000000000, 24.67905738931],
2423  [0.78685816379, 128.26363197064, 78.62306249644],
2424  [1.00000000000, -159.09484255210, 124.16536382817],
2425  [1.00000000000, 159.09484255210, 124.16536382816],
2426  [1.00000000000, -159.09484255209, 55.83463617183],
2427  [1.00000000000, 159.09484255211, 55.83463617182],
2428  [1.00000000000, -162.82796214947, 89.99999999999],
2429  [1.00000000000, 162.82796214947, 89.99999999999]
2430  ],
2431  [
2432  [12,20,19,11,6],
2433  [4,0,6,11],
2434  [13,4,11],
2435  [21,13,11,19],
2436  [26,21,19],
2437  [28,26,19,20],
2438  [24,28,20],
2439  [15,24,20,12],
2440  [7,15,12],
2441  [2,7,12,6],
2442  [0,2,6],
2443  [23,18,10,9,17],
2444  [5,14,17,9],
2445  [1,5,9],
2446  [3,1,9,10],
2447  [8,3,10],
2448  [16,8,10,18],
2449  [25,16,18],
2450  [29,25,18,23],
2451  [27,29,23],
2452  [22,27,23,17],
2453  [14,22,17],
2454  [15,16,25,24],
2455  [7,8,16,15],
2456  [2,3,8,7],
2457  [0,1,3,2],
2458  [4,5,1,0],
2459  [13,14,5,4],
2460  [21,22,14,13],
2461  [26,27,22,21],
2462  [28,29,27,26],
2463  [24,25,29,28]
2464  ],
2465  [
2466  [0,1],
2467  [0,2],
2468  [0,4],
2469  [0,6],
2470  [1,3],
2471  [1,5],
2472  [1,9],
2473  [2,3],
2474  [2,6],
2475  [2,7],
2476  [3,8],
2477  [3,10],
2478  [4,5],
2479  [4,11],
2480  [4,13],
2481  [5,9],
2482  [5,14],
2483  [6,11],
2484  [6,12],
2485  [7,8],
2486  [7,12],
2487  [7,15],
2488  [8,10],
2489  [8,16],
2490  [9,10],
2491  [9,17],
2492  [10,18],
2493  [11,13],
2494  [11,19],
2495  [12,15],
2496  [12,20],
2497  [13,14],
2498  [13,21],
2499  [14,17],
2500  [14,22],
2501  [15,16],
2502  [15,24],
2503  [16,18],
2504  [16,25],
2505  [17,22],
2506  [17,23],
2507  [18,23],
2508  [18,25],
2509  [19,20],
2510  [19,21],
2511  [19,26],
2512  [20,24],
2513  [20,28],
2514  [21,22],
2515  [21,26],
2516  [22,27],
2517  [23,27],
2518  [23,29],
2519  [24,25],
2520  [24,28],
2521  [25,29],
2522  [26,27],
2523  [26,28],
2524  [27,29],
2525  [28,29]
2526  ]
2527  ],
2528  [
2529  "elongated_pentagonal_gyrobirotunda",
2530  "Elongated Pentagonal Gyrobirotunda",
2531  "J43",
2532  "johnson",
2533  "Polyhedron Database #87",
2534  [
2535  [-0.00000000000, -0.91077745739, 0.41289759398],
2536  [-0.39268894732, -0.91077745739, 0.12759237348],
2537  [-0.39268894732, -0.65559271043, 0.54048996746],
2538  [ 0.39268894732, -0.91077745739, 0.12759237348],
2539  [ 0.39268894732, -0.65559271043, 0.54048996746],
2540  [-0.24269511645, -0.91077745739, -0.33404117047],
2541  [ 0.24269511645, -0.91077745739, -0.33404117047],
2542  [-0.24269511645, -0.24269511645, 0.74693876445],
2543  [-0.63538406377, -0.65559271043, -0.20644879699],
2544  [ 0.24269511645, -0.24269511645, 0.74693876445],
2545  [-0.63538406377, -0.24269511645, 0.46163354395],
2546  [ 0.63538406377, -0.65559271043, -0.20644879699],
2547  [ 0.63538406377, -0.24269511645, 0.46163354395],
2548  [-0.78537789464, -0.24269511645, -0.00000000000],
2549  [ 0.00000000000, -0.65559271043, -0.66808234094],
2550  [-0.24269511645, 0.24269511645, 0.74693876445],
2551  [ 0.78537789464, -0.24269511645, 0.00000000000],
2552  [ 0.24269511645, 0.24269511645, 0.74693876445],
2553  [-0.63538406377, 0.24269511645, 0.46163354395],
2554  [-0.63538406377, -0.24269511645, -0.46163354395],
2555  [ 0.63538406377, 0.24269511645, 0.46163354395],
2556  [ 0.63538406377, -0.24269511645, -0.46163354395],
2557  [-0.24269511645, -0.24269511645, -0.74693876445],
2558  [-0.78537789464, 0.24269511645, -0.00000000000],
2559  [ 0.24269511645, -0.24269511645, -0.74693876445],
2560  [-0.00000000000, 0.65559271043, 0.66808234094],
2561  [ 0.78537789464, 0.24269511645, 0.00000000000],
2562  [-0.63538406377, 0.24269511645, -0.46163354395],
2563  [-0.63538406377, 0.65559271043, 0.20644879699],
2564  [ 0.63538406377, 0.24269511645, -0.46163354395],
2565  [-0.24269511645, 0.24269511645, -0.74693876445],
2566  [ 0.63538406377, 0.65559271043, 0.20644879699],
2567  [ 0.24269511645, 0.24269511645, -0.74693876445],
2568  [-0.24269511645, 0.91077745739, 0.33404117047],
2569  [ 0.24269511645, 0.91077745739, 0.33404117047],
2570  [-0.39268894732, 0.65559271043, -0.54048996746],
2571  [-0.39268894732, 0.91077745739, -0.12759237348],
2572  [ 0.39268894732, 0.65559271043, -0.54048996746],
2573  [ 0.39268894732, 0.91077745739, -0.12759237348],
2574  [ 0.00000000000, 0.91077745739, -0.41289759398]
2575  ],
2576  [
2577  [1.00000000000, -90.00000000000, 65.61301243341],
2578  [1.00000000000, -113.32367419882, 82.66951315513],
2579  [0.93602126912, -120.92089564577, 54.72977482643],
2580  [1.00000000000, -66.67632580118, 82.66951315513],
2581  [0.93602126912, -59.07910435423, 54.72977482643],
2582  [1.00000000000, -104.92091111802, 109.51424256836],
2583  [1.00000000000, -75.07908888197, 109.51424256836],
2584  [0.82202150637, -134.99999999999, 24.67905738933],
2585  [0.93602126912, -134.10317859661, 102.74192321090],
2586  [0.82202150637, -45.00000000001, 24.67905738933],
2587  [0.82202150637, -159.09484255210, 55.83463617183],
2588  [0.93602126912, -45.89682140339, 102.74192321089],
2589  [0.82202150637, -20.90515744789, 55.83463617183],
2590  [0.82202150637, -162.82796214948, 90.00000000000],
2591  [0.93602126912, -89.99999999999, 135.54060237763],
2592  [0.82202150637, 135.00000000000, 24.67905738933],
2593  [0.82202150637, -17.17203785051, 89.99999999999],
2594  [0.82202150637, 45.00000000000, 24.67905738932],
2595  [0.82202150637, 159.09484255210, 55.83463617182],
2596  [0.82202150637, -159.09484255210, 124.16536382816],
2597  [0.82202150637, 20.90515744789, 55.83463617182],
2598  [0.82202150637, -20.90515744789, 124.16536382816],
2599  [0.82202150637, -134.99999999999, 155.32094261067],
2600  [0.82202150637, 162.82796214948, 89.99999999999],
2601  [0.82202150637, -44.99999999999, 155.32094261066],
2602  [0.93602126912, 89.99999999999, 44.45939762235],
2603  [0.82202150637, 17.17203785051, 89.99999999999],
2604  [0.82202150637, 159.09484255209, 124.16536382816],
2605  [0.93602126912, 134.10317859660, 77.25807678910],
2606  [0.82202150637, 20.90515744789, 124.16536382816],
2607  [0.82202150637, 134.99999999998, 155.32094261066],
2608  [0.93602126912, 45.89682140338, 77.25807678908],
2609  [0.82202150637, 45.00000000000, 155.32094261066],
2610  [1.00000000000, 104.92091111802, 70.48575743163],
2611  [1.00000000000, 75.07908888197, 70.48575743163],
2612  [0.93602126912, 120.92089564576, 125.27022517356],
2613  [1.00000000000, 113.32367419881, 97.33048684486],
2614  [0.93602126912, 59.07910435422, 125.27022517356],
2615  [1.00000000000, 66.67632580117, 97.33048684486],
2616  [1.00000000000, 89.99999999999, 114.38698756658]
2617  ],
2618  [
2619  [3,6,5,1,0],
2620  [2,7,9,4,0],
2621  [1,2,0],
2622  [10,7,2],
2623  [8,13,10,2,1],
2624  [5,8,1],
2625  [19,13,8],
2626  [14,22,19,8,5],
2627  [6,14,5],
2628  [24,22,14],
2629  [11,21,24,14,6],
2630  [3,11,6],
2631  [16,21,11],
2632  [4,12,16,11,3],
2633  [0,4,3],
2634  [9,12,4],
2635  [36,39,38,34,33],
2636  [25,15,18,28,33],
2637  [34,25,33],
2638  [17,15,25],
2639  [31,20,17,25,34],
2640  [38,31,34],
2641  [26,20,31],
2642  [37,29,26,31,38],
2643  [39,37,38],
2644  [32,29,37],
2645  [35,30,32,37,39],
2646  [36,35,39],
2647  [27,30,35],
2648  [28,23,27,35,36],
2649  [33,28,36],
2650  [18,23,28],
2651  [21,29,32,24],
2652  [16,26,29,21],
2653  [12,20,26,16],
2654  [9,17,20,12],
2655  [7,15,17,9],
2656  [10,18,15,7],
2657  [13,23,18,10],
2658  [19,27,23,13],
2659  [22,30,27,19],
2660  [24,32,30,22]
2661  ],
2662  [
2663  [0,1],
2664  [0,2],
2665  [0,3],
2666  [0,4],
2667  [1,2],
2668  [1,5],
2669  [1,8],
2670  [2,7],
2671  [2,10],
2672  [3,4],
2673  [3,6],
2674  [3,11],
2675  [4,9],
2676  [4,12],
2677  [5,6],
2678  [5,8],
2679  [5,14],
2680  [6,11],
2681  [6,14],
2682  [7,9],
2683  [7,10],
2684  [7,15],
2685  [8,13],
2686  [8,19],
2687  [9,12],
2688  [9,17],
2689  [10,13],
2690  [10,18],
2691  [11,16],
2692  [11,21],
2693  [12,16],
2694  [12,20],
2695  [13,19],
2696  [13,23],
2697  [14,22],
2698  [14,24],
2699  [15,17],
2700  [15,18],
2701  [15,25],
2702  [16,21],
2703  [16,26],
2704  [17,20],
2705  [17,25],
2706  [18,23],
2707  [18,28],
2708  [19,22],
2709  [19,27],
2710  [20,26],
2711  [20,31],
2712  [21,24],
2713  [21,29],
2714  [22,24],
2715  [22,30],
2716  [23,27],
2717  [23,28],
2718  [24,32],
2719  [25,33],
2720  [25,34],
2721  [26,29],
2722  [26,31],
2723  [27,30],
2724  [27,35],
2725  [28,33],
2726  [28,36],
2727  [29,32],
2728  [29,37],
2729  [30,32],
2730  [30,35],
2731  [31,34],
2732  [31,38],
2733  [32,37],
2734  [33,34],
2735  [33,36],
2736  [34,38],
2737  [35,36],
2738  [35,39],
2739  [36,39],
2740  [37,38],
2741  [37,39],
2742  [38,39]
2743  ]
2744  ],
2745  [
2746  "elongated_pentagonal_gyrocupolarotunda",
2747  "Elongated Pentagonal Gyrocupolarotunda",
2748  "J41",
2749  "johnson",
2750  "Polyhedron Database #85",
2751  [
2752  [-0.89321946966, -0.44962092814, -0.00000000000],
2753  [-0.72262973066, -0.44962092814, 0.52502123133],
2754  [-0.89321946966, 0.10241906353, 0.00000000000],
2755  [-0.72262973066, -0.44962092814, -0.52502123133],
2756  [-0.72262973066, 0.10241906353, 0.52502123133],
2757  [-0.44660973483, -0.73984552689, 0.14511229938],
2758  [-0.72262973066, 0.10241906353, -0.52502123133],
2759  [-0.72262973066, 0.57201232868, 0.23479663258],
2760  [-0.27601999583, -0.44962092814, 0.84950219710],
2761  [-0.27601999583, -0.73984552689, -0.37990893195],
2762  [-0.27601999583, -0.44962092814, -0.84950219710],
2763  [-0.27601999583, 0.10241906353, 0.84950219710],
2764  [-0.00000000000, -0.73984552689, 0.46959326515],
2765  [-0.44660973483, 0.57201232868, -0.61470556453],
2766  [-0.27601999583, 0.10241906353, -0.84950219710],
2767  [-0.44660973483, 0.86223692743, -0.14511229938],
2768  [-0.27601999583, 0.86223692743, 0.37990893195],
2769  [ 0.27601999583, -0.44962092814, 0.84950219710],
2770  [ 0.27601999583, -0.73984552689, -0.37990893195],
2771  [ 0.00000000000, 0.57201232868, 0.75981786390],
2772  [ 0.44660973483, -0.73984552689, 0.14511229938],
2773  [ 0.27601999583, -0.44962092814, -0.84950219710],
2774  [ 0.27601999583, 0.10241906353, 0.84950219710],
2775  [-0.00000000000, 0.86223692743, -0.46959326515],
2776  [ 0.27601999583, 0.10241906353, -0.84950219710],
2777  [ 0.72262973066, -0.44962092814, 0.52502123133],
2778  [ 0.27601999583, 0.86223692743, 0.37990893195],
2779  [ 0.72262973066, -0.44962092814, -0.52502123133],
2780  [ 0.44660973483, 0.57201232868, -0.61470556453],
2781  [ 0.72262973066, 0.10241906353, 0.52502123133],
2782  [ 0.89321946966, -0.44962092814, -0.00000000000],
2783  [ 0.44660973483, 0.86223692743, -0.14511229938],
2784  [ 0.72262973066, 0.10241906353, -0.52502123133],
2785  [ 0.72262973066, 0.57201232868, 0.23479663258],
2786  [ 0.89321946966, 0.10241906353, -0.00000000000]
2787  ],
2788  [
2789  [1.00000000000, -153.28063430469, 89.99999999999],
2790  [1.00000000000, -148.11008551483, 58.33032745305],
2791  [0.89907212478, 173.45887114425, 89.99999999999],
2792  [1.00000000000, -148.11008551484, 121.66967254694],
2793  [0.89907212478, 171.93313809187, 54.27052003414],
2794  [0.87629289529, -121.11739323402, 80.46802815740],
2795  [0.89907212478, 171.93313809186, 125.72947996584],
2796  [0.95106324210, 141.63590425572, 75.70715252401],
2797  [1.00000000000, -121.54555176267, 31.84243318692],
2798  [0.87629289529, -110.45943215682, 115.69249417880],
2799  [1.00000000000, -121.54555176272, 148.15756681307],
2800  [0.89907212478, 159.64229159257, 19.11460700872],
2801  [0.87629289529, -90.00000000000, 57.59596906291],
2802  [0.95106324210, 127.98162962275, 130.26585133679],
2803  [0.89907212478, 159.64229159254, 160.88539299124],
2804  [0.98181991918, 117.38263757869, 98.49941439443],
2805  [0.98181991918, 107.75095108054, 67.23554569143],
2806  [1.00000000000, -58.45444823730, 31.84243318693],
2807  [0.87629289529, -69.54056784319, 115.69249417881],
2808  [0.95106324210, 89.99999999999, 36.97346571500],
2809  [0.87629289529, -58.88260676597, 80.46802815741],
2810  [1.00000000000, -58.45444823730, 148.15756681308],
2811  [0.89907212478, 20.35770840741, 19.11460700874],
2812  [0.98181991918, 89.99999999999, 118.57368669056],
2813  [0.89907212478, 20.35770840746, 160.88539299126],
2814  [1.00000000000, -31.88991448515, 58.33032745305],
2815  [0.98181991918, 72.24904891944, 67.23554569143],
2816  [1.00000000000, -31.88991448516, 121.66967254695],
2817  [0.95106324210, 52.01837037725, 130.26585133680],
2818  [0.89907212478, 8.06686190811, 54.27052003415],
2819  [1.00000000000, -26.71936569530, 90.00000000001],
2820  [0.98181991918, 62.61736242130, 98.49941439444],
2821  [0.89907212478, 8.06686190812, 125.72947996585],
2822  [0.95106324210, 38.36409574425, 75.70715252401],
2823  [0.89907212478, 6.54112885574, 90.00000000000]
2824  ],
2825  [
2826  [12,20,18,9,5],
2827  [3,0,5,9],
2828  [10,3,9],
2829  [21,10,9,18],
2830  [27,21,18],
2831  [30,27,18,20],
2832  [25,30,20],
2833  [17,25,20,12],
2834  [8,17,12],
2835  [1,8,12,5],
2836  [0,1,5],
2837  [23,31,26,16,15],
2838  [7,2,6,13,15],
2839  [16,7,15],
2840  [4,2,7],
2841  [19,11,4,7,16],
2842  [26,19,16],
2843  [22,11,19],
2844  [33,29,22,19,26],
2845  [31,33,26],
2846  [34,29,33],
2847  [28,32,34,33,31],
2848  [23,28,31],
2849  [24,32,28],
2850  [13,14,24,28,23],
2851  [15,13,23],
2852  [6,14,13],
2853  [17,22,29,25],
2854  [8,11,22,17],
2855  [1,4,11,8],
2856  [0,2,4,1],
2857  [3,6,2,0],
2858  [10,14,6,3],
2859  [21,24,14,10],
2860  [27,32,24,21],
2861  [30,34,32,27],
2862  [25,29,34,30]
2863  ],
2864  [
2865  [0,1],
2866  [0,2],
2867  [0,3],
2868  [0,5],
2869  [1,4],
2870  [1,5],
2871  [1,8],
2872  [2,4],
2873  [2,6],
2874  [2,7],
2875  [3,6],
2876  [3,9],
2877  [3,10],
2878  [4,7],
2879  [4,11],
2880  [5,9],
2881  [5,12],
2882  [6,13],
2883  [6,14],
2884  [7,15],
2885  [7,16],
2886  [8,11],
2887  [8,12],
2888  [8,17],
2889  [9,10],
2890  [9,18],
2891  [10,14],
2892  [10,21],
2893  [11,19],
2894  [11,22],
2895  [12,17],
2896  [12,20],
2897  [13,14],
2898  [13,15],
2899  [13,23],
2900  [14,24],
2901  [15,16],
2902  [15,23],
2903  [16,19],
2904  [16,26],
2905  [17,22],
2906  [17,25],
2907  [18,20],
2908  [18,21],
2909  [18,27],
2910  [19,22],
2911  [19,26],
2912  [20,25],
2913  [20,30],
2914  [21,24],
2915  [21,27],
2916  [22,29],
2917  [23,28],
2918  [23,31],
2919  [24,28],
2920  [24,32],
2921  [25,29],
2922  [25,30],
2923  [26,31],
2924  [26,33],
2925  [27,30],
2926  [27,32],
2927  [28,31],
2928  [28,32],
2929  [29,33],
2930  [29,34],
2931  [30,34],
2932  [31,33],
2933  [32,34],
2934  [33,34]
2935  ]
2936  ],
2937  [
2938  "elongated_pentagonal_orthobicupola",
2939  "Elongated Pentagonal Orthobicupola",
2940  "J38",
2941  "johnson",
2942  "Polyhedron Database #82",
2943  [
2944  [ 0.95542256322, 0.29524180884, -0.00000000000],
2945  [ 0.77295309045, 0.29524180884, 0.56158329237],
2946  [ 0.95542256322, -0.29524180884, -0.00000000000],
2947  [ 0.77295309045, 0.29524180884, -0.56158329237],
2948  [ 0.47771128161, 0.60567741786, 0.15521780451],
2949  [ 0.77295309045, -0.29524180884, 0.56158329237],
2950  [ 0.29524180884, 0.29524180884, 0.90866085457],
2951  [ 0.77295309045, -0.29524180884, -0.56158329237],
2952  [ 0.29524180884, 0.60567741786, -0.40636548786],
2953  [ 0.00000000000, 0.60567741786, 0.50229536671],
2954  [ 0.29524180884, -0.29524180884, 0.90866085457],
2955  [ 0.29524180884, 0.29524180884, -0.90866085457],
2956  [ 0.47771128161, -0.60567741786, 0.15521780451],
2957  [-0.29524180884, 0.29524180884, 0.90866085457],
2958  [ 0.29524180884, -0.29524180884, -0.90866085457],
2959  [ 0.29524180884, -0.60567741786, -0.40636548786],
2960  [-0.29524180884, 0.60567741786, -0.40636548786],
2961  [ 0.00000000000, -0.60567741786, 0.50229536671],
2962  [-0.47771128161, 0.60567741786, 0.15521780451],
2963  [-0.29524180884, -0.29524180884, 0.90866085457],
2964  [-0.29524180884, 0.29524180884, -0.90866085457],
2965  [-0.77295309045, 0.29524180884, 0.56158329237],
2966  [-0.29524180884, -0.29524180884, -0.90866085457],
2967  [-0.29524180884, -0.60567741786, -0.40636548786],
2968  [-0.47771128161, -0.60567741786, 0.15521780451],
2969  [-0.77295309045, 0.29524180884, -0.56158329237],
2970  [-0.77295309045, -0.29524180884, 0.56158329237],
2971  [-0.95542256322, 0.29524180884, 0.00000000000],
2972  [-0.77295309045, -0.29524180884, -0.56158329237],
2973  [-0.95542256322, -0.29524180884, 0.00000000000]
2974  ],
2975  [
2976  [1.00000000000, 17.17203785052, 89.99999999999],
2977  [1.00000000000, 20.90515744789, 55.83463617182],
2978  [1.00000000000, -17.17203785051, 90.00000000000],
2979  [1.00000000000, 20.90515744790, 124.16536382816],
2980  [0.78685816379, 51.73636802936, 78.62306249644],
2981  [1.00000000000, -20.90515744789, 55.83463617183],
2982  [1.00000000000, 44.99999999999, 24.67905738932],
2983  [1.00000000000, -20.90515744788, 124.16536382818],
2984  [0.78685816379, 64.01274853924, 121.09379417366],
2985  [0.78685816379, 89.99999999998, 50.33068539622],
2986  [1.00000000000, -45.00000000001, 24.67905738933],
2987  [1.00000000000, 45.00000000002, 155.32094261066],
2988  [0.78685816379, -51.73636802935, 78.62306249646],
2989  [1.00000000000, 135.00000000001, 24.67905738931],
2990  [1.00000000000, -44.99999999998, 155.32094261068],
2991  [0.78685816379, -64.01274853923, 121.09379417368],
2992  [0.78685816379, 115.98725146076, 121.09379417367],
2993  [0.78685816379, -89.99999999999, 50.33068539624],
2994  [0.78685816379, 128.26363197064, 78.62306249644],
2995  [1.00000000000, -134.99999999997, 24.67905738933],
2996  [1.00000000000, 134.99999999998, 155.32094261065],
2997  [1.00000000000, 159.09484255211, 55.83463617181],
2998  [1.00000000000, -135.00000000000, 155.32094261067],
2999  [0.78685816379, -115.98725146075, 121.09379417368],
3000  [0.78685816379, -128.26363197063, 78.62306249646],
3001  [1.00000000000, 159.09484255210, 124.16536382816],
3002  [1.00000000000, -159.09484255209, 55.83463617183],
3003  [1.00000000000, 162.82796214948, 89.99999999999],
3004  [1.00000000000, -159.09484255210, 124.16536382817],
3005  [1.00000000000, -162.82796214947, 89.99999999999]
3006  ],
3007  [
3008  [15,23,24,17,12],
3009  [10,5,12,17],
3010  [19,10,17],
3011  [26,19,17,24],
3012  [29,26,24],
3013  [28,29,24,23],
3014  [22,28,23],
3015  [14,22,23,15],
3016  [7,14,15],
3017  [2,7,15,12],
3018  [5,2,12],
3019  [18,16,8,4,9],
3020  [1,6,9,4],
3021  [0,1,4],
3022  [3,0,4,8],
3023  [11,3,8],
3024  [20,11,8,16],
3025  [25,20,16],
3026  [27,25,16,18],
3027  [21,27,18],
3028  [13,21,18,9],
3029  [6,13,9],
3030  [14,11,20,22],
3031  [7,3,11,14],
3032  [2,0,3,7],
3033  [5,1,0,2],
3034  [10,6,1,5],
3035  [19,13,6,10],
3036  [26,21,13,19],
3037  [29,27,21,26],
3038  [28,25,27,29],
3039  [22,20,25,28]
3040  ],
3041  [
3042  [0,1],
3043  [0,2],
3044  [0,3],
3045  [0,4],
3046  [1,4],
3047  [1,5],
3048  [1,6],
3049  [2,5],
3050  [2,7],
3051  [2,12],
3052  [3,7],
3053  [3,8],
3054  [3,11],
3055  [4,8],
3056  [4,9],
3057  [5,10],
3058  [5,12],
3059  [6,9],
3060  [6,10],
3061  [6,13],
3062  [7,14],
3063  [7,15],
3064  [8,11],
3065  [8,16],
3066  [9,13],
3067  [9,18],
3068  [10,17],
3069  [10,19],
3070  [11,14],
3071  [11,20],
3072  [12,15],
3073  [12,17],
3074  [13,19],
3075  [13,21],
3076  [14,15],
3077  [14,22],
3078  [15,23],
3079  [16,18],
3080  [16,20],
3081  [16,25],
3082  [17,19],
3083  [17,24],
3084  [18,21],
3085  [18,27],
3086  [19,26],
3087  [20,22],
3088  [20,25],
3089  [21,26],
3090  [21,27],
3091  [22,23],
3092  [22,28],
3093  [23,24],
3094  [23,28],
3095  [24,26],
3096  [24,29],
3097  [25,27],
3098  [25,28],
3099  [26,29],
3100  [27,29],
3101  [28,29]
3102  ]
3103  ],
3104  [
3105  "elongated_pentagonal_orthobirotunda",
3106  "Elongated Pentagonal Orthobirotunda",
3107  "J42",
3108  "johnson",
3109  "Polyhedron Database #86",
3110  [
3111  [ 0.39268894732, 0.91077745739, -0.12759237348],
3112  [ 0.63538406377, 0.65559271043, 0.20644879699],
3113  [ 0.24269511645, 0.91077745739, 0.33404117047],
3114  [ 0.39268894732, 0.65559271043, -0.54048996746],
3115  [ 0.00000000000, 0.91077745739, -0.41289759398],
3116  [ 0.78537789464, 0.24269511645, 0.00000000000],
3117  [-0.24269511645, 0.91077745739, 0.33404117047],
3118  [ 0.63538406377, 0.24269511645, -0.46163354395],
3119  [-0.39268894732, 0.91077745739, -0.12759237348],
3120  [ 0.63538406377, 0.24269511645, 0.46163354395],
3121  [ 0.00000000000, 0.65559271043, 0.66808234094],
3122  [ 0.24269511645, 0.24269511645, -0.74693876445],
3123  [-0.39268894732, 0.65559271043, -0.54048996746],
3124  [ 0.24269511645, 0.24269511645, 0.74693876445],
3125  [ 0.78537789464, -0.24269511645, -0.00000000000],
3126  [-0.63538406377, 0.65559271043, 0.20644879699],
3127  [ 0.63538406377, -0.24269511645, -0.46163354395],
3128  [ 0.63538406377, -0.24269511645, 0.46163354395],
3129  [-0.24269511645, 0.24269511645, -0.74693876445],
3130  [-0.24269511645, 0.24269511645, 0.74693876445],
3131  [ 0.24269511645, -0.24269511645, -0.74693876445],
3132  [ 0.24269511645, -0.24269511645, 0.74693876445],
3133  [-0.63538406377, 0.24269511645, -0.46163354395],
3134  [-0.63538406377, 0.24269511645, 0.46163354395],
3135  [ 0.63538406377, -0.65559271043, 0.20644879699],
3136  [-0.78537789464, 0.24269511645, 0.00000000000],
3137  [-0.24269511645, -0.24269511645, -0.74693876445],
3138  [ 0.39268894732, -0.65559271043, -0.54048996746],
3139  [-0.24269511645, -0.24269511645, 0.74693876445],
3140  [-0.63538406377, -0.24269511645, -0.46163354395],
3141  [ 0.39268894732, -0.91077745739, -0.12759237348],
3142  [-0.63538406377, -0.24269511645, 0.46163354395],
3143  [ 0.00000000000, -0.65559271043, 0.66808234094],
3144  [-0.78537789464, -0.24269511645, -0.00000000000],
3145  [ 0.24269511645, -0.91077745739, 0.33404117047],
3146  [-0.39268894732, -0.65559271043, -0.54048996746],
3147  [-0.00000000000, -0.91077745739, -0.41289759398],
3148  [-0.63538406377, -0.65559271043, 0.20644879699],
3149  [-0.24269511645, -0.91077745739, 0.33404117047],
3150  [-0.39268894732, -0.91077745739, -0.12759237348]
3151  ],
3152  [
3153  [1.00000000000, 66.67632580117, 97.33048684486],
3154  [0.93602126912, 45.89682140339, 77.25807678909],
3155  [1.00000000000, 75.07908888197, 70.48575743162],
3156  [0.93602126912, 59.07910435423, 125.27022517356],
3157  [1.00000000000, 89.99999999999, 114.38698756658],
3158  [0.82202150637, 17.17203785051, 89.99999999999],
3159  [1.00000000000, 104.92091111801, 70.48575743162],
3160  [0.82202150637, 20.90515744789, 124.16536382816],
3161  [1.00000000000, 113.32367419881, 97.33048684485],
3162  [0.82202150637, 20.90515744789, 55.83463617182],
3163  [0.93602126912, 89.99999999999, 44.45939762235],
3164  [0.82202150637, 45.00000000001, 155.32094261066],
3165  [0.93602126912, 120.92089564576, 125.27022517355],
3166  [0.82202150637, 44.99999999999, 24.67905738932],
3167  [0.82202150637, -17.17203785052, 90.00000000000],
3168  [0.93602126912, 134.10317859660, 77.25807678908],
3169  [0.82202150637, -20.90515744789, 124.16536382818],
3170  [0.82202150637, -20.90515744789, 55.83463617183],
3171  [0.82202150637, 134.99999999998, 155.32094261065],
3172  [0.82202150637, 134.99999999999, 24.67905738931],
3173  [0.82202150637, -45.00000000000, 155.32094261068],
3174  [0.82202150637, -45.00000000001, 24.67905738934],
3175  [0.82202150637, 159.09484255209, 124.16536382816],
3176  [0.82202150637, 159.09484255210, 55.83463617181],
3177  [0.93602126912, -45.89682140338, 77.25807678910],
3178  [0.82202150637, 162.82796214947, 89.99999999998],
3179  [0.82202150637, -135.00000000000, 155.32094261067],
3180  [0.93602126912, -59.07910435422, 125.27022517357],
3181  [0.82202150637, -134.99999999998, 24.67905738932],
3182  [0.82202150637, -159.09484255210, 124.16536382817],
3183  [1.00000000000, -66.67632580117, 97.33048684488],
3184  [0.82202150637, -159.09484255209, 55.83463617183],
3185  [0.93602126912, -89.99999999999, 44.45939762237],
3186  [0.82202150637, -162.82796214948, 89.99999999999],
3187  [1.00000000000, -75.07908888196, 70.48575743164],
3188  [0.93602126912, -120.92089564578, 125.27022517357],
3189  [1.00000000000, -90.00000000000, 114.38698756659],
3190  [0.93602126912, -134.10317859660, 77.25807678910],
3191  [1.00000000000, -104.92091111802, 70.48575743164],
3192  [1.00000000000, -113.32367419882, 97.33048684487]
3193  ],
3194  [
3195  [2,6,8,4,0],
3196  [3,7,5,1,0],
3197  [4,3,0],
3198  [11,7,3],
3199  [12,18,11,3,4],
3200  [8,12,4],
3201  [22,18,12],
3202  [15,25,22,12,8],
3203  [6,15,8],
3204  [23,25,15],
3205  [10,19,23,15,6],
3206  [2,10,6],
3207  [13,19,10],
3208  [1,9,13,10,2],
3209  [0,1,2],
3210  [5,9,1],
3211  [36,39,38,34,30],
3212  [24,14,16,27,30],
3213  [34,24,30],
3214  [17,14,24],
3215  [32,21,17,24,34],
3216  [38,32,34],
3217  [28,21,32],
3218  [37,31,28,32,38],
3219  [39,37,38],
3220  [33,31,37],
3221  [35,29,33,37,39],
3222  [36,35,39],
3223  [26,29,35],
3224  [27,20,26,35,36],
3225  [30,27,36],
3226  [16,20,27],
3227  [19,28,31,23],
3228  [13,21,28,19],
3229  [9,17,21,13],
3230  [5,14,17,9],
3231  [7,16,14,5],
3232  [11,20,16,7],
3233  [18,26,20,11],
3234  [22,29,26,18],
3235  [25,33,29,22],
3236  [23,31,33,25]
3237  ],
3238  [
3239  [0,1],
3240  [0,2],
3241  [0,3],
3242  [0,4],
3243  [1,2],
3244  [1,5],
3245  [1,9],
3246  [2,6],
3247  [2,10],
3248  [3,4],
3249  [3,7],
3250  [3,11],
3251  [4,8],
3252  [4,12],
3253  [5,7],
3254  [5,9],
3255  [5,14],
3256  [6,8],
3257  [6,10],
3258  [6,15],
3259  [7,11],
3260  [7,16],
3261  [8,12],
3262  [8,15],
3263  [9,13],
3264  [9,17],
3265  [10,13],
3266  [10,19],
3267  [11,18],
3268  [11,20],
3269  [12,18],
3270  [12,22],
3271  [13,19],
3272  [13,21],
3273  [14,16],
3274  [14,17],
3275  [14,24],
3276  [15,23],
3277  [15,25],
3278  [16,20],
3279  [16,27],
3280  [17,21],
3281  [17,24],
3282  [18,22],
3283  [18,26],
3284  [19,23],
3285  [19,28],
3286  [20,26],
3287  [20,27],
3288  [21,28],
3289  [21,32],
3290  [22,25],
3291  [22,29],
3292  [23,25],
3293  [23,31],
3294  [24,30],
3295  [24,34],
3296  [25,33],
3297  [26,29],
3298  [26,35],
3299  [27,30],
3300  [27,36],
3301  [28,31],
3302  [28,32],
3303  [29,33],
3304  [29,35],
3305  [30,34],
3306  [30,36],
3307  [31,33],
3308  [31,37],
3309  [32,34],
3310  [32,38],
3311  [33,37],
3312  [34,38],
3313  [35,36],
3314  [35,39],
3315  [36,39],
3316  [37,38],
3317  [37,39],
3318  [38,39]
3319  ]
3320  ],
3321  [
3322  "elongated_pentagonal_orthocupolarotunda",
3323  "Elongated Pentagonal Orthocupolarotunda",
3324  "J40",
3325  "johnson",
3326  "Polyhedron Database #84",
3327  [
3328  [ 0.89321946966, -0.44962092814, 0.00000000000],
3329  [ 0.72262973066, -0.44962092814, 0.52502123133],
3330  [ 0.72262973066, -0.44962092814, -0.52502123133],
3331  [ 0.89321946966, 0.10241906353, -0.00000000000],
3332  [ 0.44660973483, -0.73984552689, -0.14511229938],
3333  [ 0.72262973066, 0.10241906353, 0.52502123133],
3334  [ 0.27601999583, -0.73984552689, 0.37990893195],
3335  [ 0.72262973066, 0.10241906353, -0.52502123133],
3336  [ 0.27601999583, -0.44962092814, 0.84950219710],
3337  [ 0.27601999583, -0.44962092814, -0.84950219710],
3338  [ 0.72262973066, 0.57201232868, 0.23479663258],
3339  [-0.00000000000, -0.73984552689, -0.46959326515],
3340  [ 0.27601999583, 0.10241906353, 0.84950219710],
3341  [ 0.27601999583, 0.10241906353, -0.84950219710],
3342  [-0.27601999583, -0.73984552689, 0.37990893195],
3343  [ 0.44660973483, 0.57201232868, -0.61470556453],
3344  [-0.27601999583, -0.44962092814, 0.84950219710],
3345  [ 0.44660973483, 0.86223692743, -0.14511229938],
3346  [-0.44660973483, -0.73984552689, -0.14511229938],
3347  [-0.27601999583, -0.44962092814, -0.84950219710],
3348  [ 0.27601999583, 0.86223692743, 0.37990893195],
3349  [-0.00000000000, 0.57201232868, 0.75981786390],
3350  [-0.27601999583, 0.10241906353, 0.84950219710],
3351  [-0.27601999583, 0.10241906353, -0.84950219710],
3352  [-0.72262973066, -0.44962092814, 0.52502123133],
3353  [-0.00000000000, 0.86223692743, -0.46959326515],
3354  [-0.72262973066, -0.44962092814, -0.52502123133],
3355  [-0.89321946966, -0.44962092814, 0.00000000000],
3356  [-0.27601999583, 0.86223692743, 0.37990893195],
3357  [-0.72262973066, 0.10241906353, 0.52502123133],
3358  [-0.44660973483, 0.57201232868, -0.61470556453],
3359  [-0.72262973066, 0.10241906353, -0.52502123133],
3360  [-0.44660973483, 0.86223692743, -0.14511229938],
3361  [-0.89321946966, 0.10241906353, 0.00000000000],
3362  [-0.72262973066, 0.57201232868, 0.23479663258]
3363  ],
3364  [
3365  [1.00000000000, -26.71936569529, 89.99999999999],
3366  [1.00000000000, -31.88991448516, 58.33032745305],
3367  [1.00000000000, -31.88991448516, 121.66967254695],
3368  [0.89907212478, 6.54112885574, 89.99999999999],
3369  [0.87629289529, -58.88260676597, 99.53197184259],
3370  [0.89907212478, 8.06686190811, 54.27052003414],
3371  [0.87629289529, -69.54056784318, 64.30750582120],
3372  [0.89907212478, 8.06686190813, 125.72947996585],
3373  [1.00000000000, -58.45444823730, 31.84243318692],
3374  [1.00000000000, -58.45444823730, 148.15756681307],
3375  [0.95106324210, 38.36409574426, 75.70715252401],
3376  [0.87629289529, -89.99999999999, 122.40403093709],
3377  [0.89907212478, 20.35770840741, 19.11460700874],
3378  [0.89907212478, 20.35770840745, 160.88539299125],
3379  [0.87629289529, -110.45943215680, 64.30750582120],
3380  [0.95106324210, 52.01837037724, 130.26585133679],
3381  [1.00000000000, -121.54555176269, 31.84243318692],
3382  [0.98181991918, 62.61736242130, 98.49941439444],
3383  [0.87629289529, -121.11739323402, 99.53197184259],
3384  [1.00000000000, -121.54555176269, 148.15756681307],
3385  [0.98181991918, 72.24904891944, 67.23554569144],
3386  [0.95106324210, 90.00000000000, 36.97346571501],
3387  [0.89907212478, 159.64229159257, 19.11460700873],
3388  [0.89907212478, 159.64229159256, 160.88539299125],
3389  [1.00000000000, -148.11008551483, 58.33032745304],
3390  [0.98181991918, 90.00000000000, 118.57368669057],
3391  [1.00000000000, -148.11008551484, 121.66967254695],
3392  [1.00000000000, -153.28063430469, 89.99999999999],
3393  [0.98181991918, 107.75095108054, 67.23554569144],
3394  [0.89907212478, 171.93313809188, 54.27052003414],
3395  [0.95106324210, 127.98162962274, 130.26585133680],
3396  [0.89907212478, 171.93313809187, 125.72947996585],
3397  [0.98181991918, 117.38263757869, 98.49941439444],
3398  [0.89907212478, 173.45887114426, 89.99999999999],
3399  [0.95106324210, 141.63590425573, 75.70715252401]
3400  ],
3401  [
3402  [11,18,14,6,4],
3403  [1,0,4,6],
3404  [8,1,6],
3405  [16,8,6,14],
3406  [24,16,14],
3407  [27,24,14,18],
3408  [26,27,18],
3409  [19,26,18,11],
3410  [9,19,11],
3411  [2,9,11,4],
3412  [0,2,4],
3413  [28,32,25,17,20],
3414  [10,5,12,21,20],
3415  [17,10,20],
3416  [3,5,10],
3417  [15,7,3,10,17],
3418  [25,15,17],
3419  [13,7,15],
3420  [30,23,13,15,25],
3421  [32,30,25],
3422  [31,23,30],
3423  [34,33,31,30,32],
3424  [28,34,32],
3425  [29,33,34],
3426  [21,22,29,34,28],
3427  [20,21,28],
3428  [12,22,21],
3429  [19,23,31,26],
3430  [9,13,23,19],
3431  [2,7,13,9],
3432  [0,3,7,2],
3433  [1,5,3,0],
3434  [8,12,5,1],
3435  [16,22,12,8],
3436  [24,29,22,16],
3437  [27,33,29,24],
3438  [26,31,33,27]
3439  ],
3440  [
3441  [0,1],
3442  [0,2],
3443  [0,3],
3444  [0,4],
3445  [1,5],
3446  [1,6],
3447  [1,8],
3448  [2,4],
3449  [2,7],
3450  [2,9],
3451  [3,5],
3452  [3,7],
3453  [3,10],
3454  [4,6],
3455  [4,11],
3456  [5,10],
3457  [5,12],
3458  [6,8],
3459  [6,14],
3460  [7,13],
3461  [7,15],
3462  [8,12],
3463  [8,16],
3464  [9,11],
3465  [9,13],
3466  [9,19],
3467  [10,17],
3468  [10,20],
3469  [11,18],
3470  [11,19],
3471  [12,21],
3472  [12,22],
3473  [13,15],
3474  [13,23],
3475  [14,16],
3476  [14,18],
3477  [14,24],
3478  [15,17],
3479  [15,25],
3480  [16,22],
3481  [16,24],
3482  [17,20],
3483  [17,25],
3484  [18,26],
3485  [18,27],
3486  [19,23],
3487  [19,26],
3488  [20,21],
3489  [20,28],
3490  [21,22],
3491  [21,28],
3492  [22,29],
3493  [23,30],
3494  [23,31],
3495  [24,27],
3496  [24,29],
3497  [25,30],
3498  [25,32],
3499  [26,27],
3500  [26,31],
3501  [27,33],
3502  [28,32],
3503  [28,34],
3504  [29,33],
3505  [29,34],
3506  [30,31],
3507  [30,32],
3508  [31,33],
3509  [32,34],
3510  [33,34]
3511  ]
3512  ],
3513  [
3514  "elongated_pentagonal_pyramid",
3515  "Elongated Pentagonal Pyramid",
3516  "J9",
3517  "johnson",
3518  "Polyhedron Database #53",
3519  [
3520  [-0.00000000000, -0.57203305118, 0.82023057024],
3521  [-0.00000000000, 0.39220581415, 0.82023057024],
3522  [-0.78008562869, -0.57203305118, 0.25346518551],
3523  [ 0.78008562869, -0.57203305118, 0.25346518551],
3524  [-0.78008562869, 0.39220581415, 0.25346518551],
3525  [ 0.78008562869, 0.39220581415, 0.25346518551],
3526  [-0.00000000000, 0.89913618517, 0.00000000000],
3527  [-0.48211943267, -0.57203305118, -0.66358047063],
3528  [ 0.48211943267, -0.57203305118, -0.66358047063],
3529  [-0.48211943267, 0.39220581415, -0.66358047063],
3530  [ 0.48211943267, 0.39220581415, -0.66358047063]
3531  ],
3532  [
3533  [1.00000000000, -89.99999999999, 34.89211861905],
3534  [0.90917742438, 89.99999999999, 25.55550959478],
3535  [1.00000000000, -143.74758289659, 75.31734079704],
3536  [1.00000000000, -36.25241710340, 75.31734079703],
3537  [0.90917742438, 153.30799531701, 73.81228658369],
3538  [0.90917742438, 26.69200468298, 73.81228658369],
3539  [0.89913618517, 89.99999999999, 89.99999999999],
3540  [1.00000000000, -130.12477362434, 131.57351491595],
3541  [1.00000000000, -49.87522637565, 131.57351491594],
3542  [0.90917742438, 140.87152731453, 136.87541787966],
3543  [0.90917742438, 39.12847268545, 136.87541787966]
3544  ],
3545  [
3546  [7,2,0,3,8],
3547  [5,3,0,1],
3548  [5,1,6],
3549  [10,8,3,5],
3550  [10,5,6],
3551  [9,7,8,10],
3552  [9,10,6],
3553  [4,2,7,9],
3554  [4,9,6],
3555  [1,0,2,4],
3556  [1,4,6]
3557  ],
3558  [
3559  [0,1],
3560  [0,2],
3561  [0,3],
3562  [1,4],
3563  [1,5],
3564  [1,6],
3565  [2,4],
3566  [2,7],
3567  [3,5],
3568  [3,8],
3569  [4,6],
3570  [4,9],
3571  [5,6],
3572  [5,10],
3573  [6,9],
3574  [6,10],
3575  [7,8],
3576  [7,9],
3577  [8,10],
3578  [9,10]
3579  ]
3580  ],
3581  [
3582  "elongated_pentagonal_rotunds",
3583  "Elongated Pentagonal Rotunds",
3584  "J21",
3585  "johnson",
3586  "Polyhedron Database #65",
3587  [
3588  [ 0.68097260340, 0.42283845042, 0.22126141144],
3589  [ 0.42086421431, 0.69633259576, -0.13674707267],
3590  [ 0.84172842862, -0.01968437246, 0.00000000000],
3591  [ 0.26010838909, 0.69633259576, 0.35800848411],
3592  [ 0.68097260340, -0.01968437246, 0.49475555678],
3593  [ 0.42086421431, 0.42283845042, -0.57926989555],
3594  [ 0.68097260340, -0.01968437246, -0.49475555678],
3595  [ 0.84172842862, -0.53990115064, 0.00000000000],
3596  [-0.00000000000, 0.69633259576, -0.44252282288],
3597  [ 0.68097260340, -0.53990115064, 0.49475555678],
3598  [-0.00000000000, 0.42283845042, 0.71601696822],
3599  [ 0.26010838909, -0.01968437246, 0.80053130699],
3600  [ 0.68097260340, -0.53990115064, -0.49475555678],
3601  [-0.26010838909, 0.69633259576, 0.35800848411],
3602  [ 0.26010838909, -0.01968437246, -0.80053130699],
3603  [-0.42086421431, 0.69633259576, -0.13674707267],
3604  [ 0.26010838909, -0.53990115064, 0.80053130699],
3605  [ 0.26010838909, -0.53990115064, -0.80053130699],
3606  [-0.26010838909, -0.01968437246, 0.80053130699],
3607  [-0.42086421431, 0.42283845042, -0.57926989555],
3608  [-0.26010838909, -0.01968437246, -0.80053130699],
3609  [-0.68097260340, 0.42283845042, 0.22126141144],
3610  [-0.26010838909, -0.53990115064, 0.80053130699],
3611  [-0.68097260340, -0.01968437246, 0.49475555678],
3612  [-0.26010838909, -0.53990115064, -0.80053130699],
3613  [-0.68097260340, -0.01968437246, -0.49475555678],
3614  [-0.84172842862, -0.01968437246, -0.00000000000],
3615  [-0.68097260340, -0.53990115064, 0.49475555678],
3616  [-0.68097260340, -0.53990115064, -0.49475555678],
3617  [-0.84172842862, -0.53990115064, -0.00000000000]
3618  ],
3619  [
3620  [0.83154834732, 31.83751590051, 74.56864717223],
3621  [0.82504880625, 58.85118673122, 99.54047056804],
3622  [0.84195856315, -1.33965527789, 89.99999999999],
3623  [0.82504880625, 69.51730608160, 64.28315347175],
3624  [0.84195856315, -1.65574574906, 54.01137741034],
3625  [0.83154834732, 45.13406996974, 134.15613296486],
3626  [0.84195856315, -1.65574574906, 125.98862258965],
3627  [1.00000000000, -32.67690999588, 89.99999999999],
3628  [0.82504880625, 89.99999999999, 122.43616115368],
3629  [1.00000000000, -38.40872777727, 60.34636723232],
3630  [0.83154834732, 89.99999999999, 30.56365623923],
3631  [0.84195856315, -4.32775647929, 18.04813673204],
3632  [1.00000000000, -38.40872777727, 119.65363276766],
3633  [0.82504880625, 110.48269391840, 64.28315347176],
3634  [0.84195856315, -4.32775647929, 161.95186326793],
3635  [0.82504880625, 121.14881326877, 99.54047056805],
3636  [1.00000000000, -64.27660964891, 36.81913157227],
3637  [1.00000000000, -64.27660964889, 143.18086842771],
3638  [0.84195856315, -175.67224352070, 18.04813673206],
3639  [0.83154834732, 134.86593003026, 134.15613296486],
3640  [0.84195856315, -175.67224352067, 161.95186326795],
3641  [0.83154834732, 148.16248409948, 74.56864717223],
3642  [1.00000000000, -115.72339035110, 36.81913157227],
3643  [0.84195856315, -178.34425425092, 54.01137741034],
3644  [1.00000000000, -115.72339035107, 143.18086842772],
3645  [0.84195856315, -178.34425425092, 125.98862258965],
3646  [0.84195856315, -178.66034472209, 89.99999999999],
3647  [1.00000000000, -141.59127222271, 60.34636723233],
3648  [1.00000000000, -141.59127222271, 119.65363276766],
3649  [1.00000000000, -147.32309000410, 90.00000000001]
3650  ],
3651  [
3652  [28,29,27,22,16,9,7,12,17,24],
3653  [1,3,13,15,8],
3654  [19,20,14,5,8],
3655  [15,19,8],
3656  [25,20,19],
3657  [21,26,25,19,15],
3658  [13,21,15],
3659  [23,26,21],
3660  [10,18,23,21,13],
3661  [3,10,13],
3662  [11,18,10],
3663  [0,4,11,10,3],
3664  [1,0,3],
3665  [2,4,0],
3666  [5,6,2,0,1],
3667  [8,5,1],
3668  [14,6,5],
3669  [4,9,16,11],
3670  [2,7,9,4],
3671  [6,12,7,2],
3672  [14,17,12,6],
3673  [20,24,17,14],
3674  [25,28,24,20],
3675  [26,29,28,25],
3676  [23,27,29,26],
3677  [18,22,27,23],
3678  [11,16,22,18]
3679  ],
3680  [
3681  [0,1],
3682  [0,2],
3683  [0,3],
3684  [0,4],
3685  [1,3],
3686  [1,5],
3687  [1,8],
3688  [2,4],
3689  [2,6],
3690  [2,7],
3691  [3,10],
3692  [3,13],
3693  [4,9],
3694  [4,11],
3695  [5,6],
3696  [5,8],
3697  [5,14],
3698  [6,12],
3699  [6,14],
3700  [7,9],
3701  [7,12],
3702  [8,15],
3703  [8,19],
3704  [9,16],
3705  [10,11],
3706  [10,13],
3707  [10,18],
3708  [11,16],
3709  [11,18],
3710  [12,17],
3711  [13,15],
3712  [13,21],
3713  [14,17],
3714  [14,20],
3715  [15,19],
3716  [15,21],
3717  [16,22],
3718  [17,24],
3719  [18,22],
3720  [18,23],
3721  [19,20],
3722  [19,25],
3723  [20,24],
3724  [20,25],
3725  [21,23],
3726  [21,26],
3727  [22,27],
3728  [23,26],
3729  [23,27],
3730  [24,28],
3731  [25,26],
3732  [25,28],
3733  [26,29],
3734  [27,29],
3735  [28,29]
3736  ]
3737  ],
3738  [
3739  "elongated_square_cupola",
3740  "Elongated Square Cupola",
3741  "J19",
3742  "johnson",
3743  "Polyhedron Database #63",
3744  [
3745  [-0.33282985348, 0.17212538424, 0.80352234624],
3746  [-0.33282985348, 0.64281787700, 0.33282985348],
3747  [-0.80352234624, 0.17212538424, 0.33282985348],
3748  [ 0.33282985348, 0.17212538424, 0.80352234624],
3749  [-0.33282985348, -0.49353432273, 0.80352234624],
3750  [ 0.33282985348, 0.64281787700, 0.33282985348],
3751  [-0.80352234624, -0.49353432273, 0.33282985348],
3752  [-0.33282985348, 0.64281787700, -0.33282985348],
3753  [-0.80352234624, 0.17212538424, -0.33282985348],
3754  [ 0.33282985348, -0.49353432273, 0.80352234624],
3755  [ 0.33282985348, 0.64281787700, -0.33282985348],
3756  [-0.80352234624, -0.49353432273, -0.33282985348],
3757  [ 0.80352234624, 0.17212538424, 0.33282985348],
3758  [-0.33282985348, 0.17212538424, -0.80352234624],
3759  [ 0.80352234624, -0.49353432273, 0.33282985348],
3760  [ 0.80352234624, 0.17212538424, -0.33282985348],
3761  [ 0.33282985348, 0.17212538424, -0.80352234624],
3762  [-0.33282985348, -0.49353432273, -0.80352234624],
3763  [ 0.80352234624, -0.49353432273, -0.33282985348],
3764  [ 0.33282985348, -0.49353432273, -0.80352234624]
3765  ],
3766  [
3767  [0.88659518394, 152.65392550023, 25.00088274745],
3768  [0.79672218855, 117.37362787137, 65.30744968158],
3769  [0.88659518394, 167.90919548879, 67.95082162559],
3770  [0.88659518394, 27.34607449974, 25.00088274746],
3771  [1.00000000000, -123.99495287766, 36.53220956805],
3772  [0.79672218855, 62.62637212861, 65.30744968159],
3773  [1.00000000000, -148.44118967741, 70.55937362985],
3774  [0.79672218855, 117.37362787138, 114.69255031840],
3775  [0.88659518394, 167.90919548879, 112.04917837437],
3776  [1.00000000000, -56.00504712230, 36.53220956806],
3777  [0.79672218855, 62.62637212862, 114.69255031841],
3778  [1.00000000000, -148.44118967742, 109.44062637012],
3779  [0.88659518394, 12.09080451120, 67.95082162561],
3780  [0.88659518394, 152.65392550025, 154.99911725252],
3781  [1.00000000000, -31.55881032258, 70.55937362987],
3782  [0.88659518394, 12.09080451120, 112.04917837440],
3783  [0.88659518394, 27.34607449977, 154.99911725255],
3784  [1.00000000000, -123.99495287769, 143.46779043193],
3785  [1.00000000000, -31.55881032258, 109.44062637014],
3786  [1.00000000000, -56.00504712233, 143.46779043193]
3787  ],
3788  [
3789  [19,17,11,6,4,9,14,18],
3790  [0,4,6,2],
3791  [3,9,4,0],
3792  [12,14,9,3],
3793  [15,18,14,12],
3794  [16,19,18,15],
3795  [13,17,19,16],
3796  [8,11,17,13],
3797  [2,6,11,8],
3798  [1,7,10,5],
3799  [15,12,5,10],
3800  [16,15,10],
3801  [13,16,10,7],
3802  [8,13,7],
3803  [2,8,7,1],
3804  [0,2,1],
3805  [3,0,1,5],
3806  [12,3,5]
3807  ],
3808  [
3809  [0,1],
3810  [0,2],
3811  [0,3],
3812  [0,4],
3813  [1,2],
3814  [1,5],
3815  [1,7],
3816  [2,6],
3817  [2,8],
3818  [3,5],
3819  [3,9],
3820  [3,12],
3821  [4,6],
3822  [4,9],
3823  [5,10],
3824  [5,12],
3825  [6,11],
3826  [7,8],
3827  [7,10],
3828  [7,13],
3829  [8,11],
3830  [8,13],
3831  [9,14],
3832  [10,15],
3833  [10,16],
3834  [11,17],
3835  [12,14],
3836  [12,15],
3837  [13,16],
3838  [13,17],
3839  [14,18],
3840  [15,16],
3841  [15,18],
3842  [16,19],
3843  [17,19],
3844  [18,19]
3845  ]
3846  ],
3847  [
3848  "elongated_square_dipyramid",
3849  "Elongated Square Dipyramid",
3850  "J15",
3851  "johnson",
3852  "Polyhedron Database #59",
3853  [
3854  [-0.41421356237, 0.41421356237, -0.41421356237],
3855  [-0.41421356237, 0.41421356237, 0.41421356237],
3856  [ 0.00000000000, 1.00000000000, 0.00000000000],
3857  [-0.41421356237, -0.41421356237, -0.41421356237],
3858  [-0.41421356237, -0.41421356237, 0.41421356237],
3859  [ 0.41421356237, 0.41421356237, -0.41421356237],
3860  [ 0.41421356237, 0.41421356237, 0.41421356237],
3861  [-0.00000000000, -1.00000000000, 0.00000000000],
3862  [ 0.41421356237, -0.41421356237, -0.41421356237],
3863  [ 0.41421356237, -0.41421356237, 0.41421356237]
3864  ],
3865  [
3866  [0.71743893521, 134.99999999999, 125.26438968275],
3867  [0.71743893521, 134.99999999999, 54.73561031724],
3868  [1.00000000000, 89.99999999999, 89.99999999999],
3869  [0.71743893521, -134.99999999999, 125.26438968275],
3870  [0.71743893521, -134.99999999999, 54.73561031724],
3871  [0.71743893521, 45.00000000000, 125.26438968275],
3872  [0.71743893521, 45.00000000000, 54.73561031724],
3873  [1.00000000000, -89.99999999999, 89.99999999999],
3874  [0.71743893521, -45.00000000000, 125.26438968275],
3875  [0.71743893521, -45.00000000000, 54.73561031724]
3876  ],
3877  [
3878  [6,5,8,9],
3879  [7,9,8],
3880  [2,5,6],
3881  [5,0,3,8],
3882  [7,8,3],
3883  [2,0,5],
3884  [0,1,4,3],
3885  [7,3,4],
3886  [2,1,0],
3887  [1,6,9,4],
3888  [7,4,9],
3889  [2,6,1]
3890  ],
3891  [
3892  [0,1],
3893  [0,2],
3894  [0,3],
3895  [0,5],
3896  [1,2],
3897  [1,4],
3898  [1,6],
3899  [2,5],
3900  [2,6],
3901  [3,4],
3902  [3,7],
3903  [3,8],
3904  [4,7],
3905  [4,9],
3906  [5,6],
3907  [5,8],
3908  [6,9],
3909  [7,8],
3910  [7,9],
3911  [8,9]
3912  ]
3913  ],
3914  [
3915  "elongated_square_gyrobicupola",
3916  "Elongated Square Gyrobicupola",
3917  "J37",
3918  "johnson",
3919  "George W. Hart, Jan 1996. george@li.net",
3920  [
3921  [-0.86285600000, 0.35740700000, 0.35740700000],
3922  [-0.86285600000, 0.35740700000, -0.35740700000],
3923  [-0.35740700000, 0.35740700000, 0.86285600000],
3924  [-0.35740700000, 0.86285600000, 0.35740700000],
3925  [-0.35740700000, 0.86285600000, -0.35740700000],
3926  [-0.35740700000, 0.35740700000, -0.86285600000],
3927  [ 0.35740700000, 0.35740700000, 0.86285600000],
3928  [ 0.35740700000, 0.86285600000, 0.35740700000],
3929  [ 0.35740700000, 0.86285600000, -0.35740700000],
3930  [ 0.35740700000, 0.35740700000, -0.86285600000],
3931  [ 0.86285600000, 0.35740700000, 0.35740700000],
3932  [ 0.86285600000, 0.35740700000, -0.35740700000],
3933  [ 0.86285600000, -0.35740700000, 0.35740700000],
3934  [ 0.86285600000, -0.35740700000, -0.35740700000],
3935  [ 0.35740700000, -0.35740700000, 0.86285600000],
3936  [ 0.50544900000, -0.86285600000, 0.00000000000],
3937  [ 0.35740700000, -0.35740700000, -0.86285600000],
3938  [ 0.00000000000, -0.86285600000, 0.50544900000],
3939  [ 0.00000000000, -0.86285600000, -0.50544900000],
3940  [-0.35740700000, -0.35740700000, 0.86285600000],
3941  [-0.50544900000, -0.86285600000, 0.00000000000],
3942  [-0.35740700000, -0.35740700000, -0.86285600000],
3943  [-0.86285600000, -0.35740700000, 0.35740700000],
3944  [-0.86285600000, -0.35740700000, -0.35740700000]
3945  ],
3946  [
3947  [1.00000000202, 157.49998059201, 69.05896388757],
3948  [1.00000000202, 157.49998059201, 110.94103611242],
3949  [1.00000000202, 134.99999999999, 30.36121734578],
3950  [1.00000000202, 112.50001940798, 69.05896388757],
3951  [1.00000000202, 112.50001940798, 110.94103611242],
3952  [1.00000000202, 134.99999999999, 149.63878265421],
3953  [1.00000000202, 45.00000000000, 30.36121734578],
3954  [1.00000000202, 67.49998059201, 69.05896388757],
3955  [1.00000000202, 67.49998059201, 110.94103611242],
3956  [1.00000000202, 45.00000000000, 149.63878265421],
3957  [1.00000000202, 22.50001940798, 69.05896388757],
3958  [1.00000000202, 22.50001940798, 110.94103611242],
3959  [1.00000000202, -22.50001940798, 69.05896388757],
3960  [1.00000000202, -22.50001940798, 110.94103611242],
3961  [1.00000000202, -45.00000000000, 30.36121734578],
3962  [0.99999958417, -59.63882352400, 89.99999999999],
3963  [1.00000000202, -45.00000000000, 149.63878265421],
3964  [0.99999958417, -89.99999999999, 59.63882352400],
3965  [0.99999958417, -89.99999999999, 120.36117647599],
3966  [1.00000000202, -134.99999999999, 30.36121734578],
3967  [0.99999958417, -120.36117647599, 89.99999999999],
3968  [1.00000000202, -134.99999999999, 149.63878265421],
3969  [1.00000000202, -157.49998059201, 69.05896388757],
3970  [1.00000000202, -157.49998059201, 110.94103611242]
3971  ],
3972  [
3973  [0,3,2],
3974  [1,5,4],
3975  [6,7,10],
3976  [8,9,11],
3977  [12,13,15],
3978  [14,17,19],
3979  [16,21,18],
3980  [20,23,22],
3981  [0,1,4,3],
3982  [2,3,7,6],
3983  [3,4,8,7],
3984  [4,5,9,8],
3985  [7,8,11,10],
3986  [12,15,17,14],
3987  [13,16,18,15],
3988  [15,18,20,17],
3989  [17,20,22,19],
3990  [18,21,23,20],
3991  [0,2,19,22],
3992  [2,6,14,19],
3993  [6,10,12,14],
3994  [10,11,13,12],
3995  [9,16,13,11],
3996  [5,21,16,9],
3997  [1,23,21,5],
3998  [0,22,23,1]
3999  ],
4000  [
4001  [0,1],
4002  [0,2],
4003  [0,3],
4004  [0,22],
4005  [1,4],
4006  [1,5],
4007  [1,23],
4008  [2,3],
4009  [2,6],
4010  [2,19],
4011  [3,4],
4012  [3,7],
4013  [4,5],
4014  [4,8],
4015  [5,9],
4016  [5,21],
4017  [6,7],
4018  [6,10],
4019  [6,14],
4020  [7,8],
4021  [7,10],
4022  [8,9],
4023  [8,11],
4024  [9,11],
4025  [9,16],
4026  [10,11],
4027  [10,12],
4028  [11,13],
4029  [12,13],
4030  [12,14],
4031  [12,15],
4032  [13,15],
4033  [13,16],
4034  [14,17],
4035  [14,19],
4036  [15,17],
4037  [15,18],
4038  [16,18],
4039  [16,21],
4040  [17,19],
4041  [17,20],
4042  [18,20],
4043  [18,21],
4044  [19,22],
4045  [20,22],
4046  [20,23],
4047  [21,23],
4048  [22,23]
4049  ]
4050  ],
4051  [
4052  "elongated_square_pyramid",
4053  "Elongated Square Pyramid",
4054  "J8",
4055  "johnson",
4056  "Polyhedron Database #52",
4057  [
4058  [ 0.46599025767, -0.59099025767, -0.46599025767],
4059  [ 0.46599025767, -0.59099025767, 0.46599025767],
4060  [-0.46599025767, -0.59099025767, -0.46599025767],
4061  [-0.46599025767, -0.59099025767, 0.46599025767],
4062  [ 0.46599025767, 0.34099025767, -0.46599025767],
4063  [ 0.46599025767, 0.34099025767, 0.46599025767],
4064  [-0.46599025767, 0.34099025767, -0.46599025767],
4065  [-0.46599025767, 0.34099025767, 0.46599025767],
4066  [-0.00000000000, 1.00000000000, 0.00000000000]
4067  ],
4068  [
4069  [0.88519112351, -51.74455319034, 121.76449119291],
4070  [0.88519112351, -51.74455319034, 58.23550880708],
4071  [0.88519112351, -128.25544680965, 121.76449119291],
4072  [0.88519112351, -128.25544680965, 58.23550880708],
4073  [0.74200282770, 36.19495113046, 128.90395833721],
4074  [0.74200282770, 36.19495113046, 51.09604166278],
4075  [0.74200282770, 143.80504886953, 128.90395833721],
4076  [0.74200282770, 143.80504886953, 51.09604166278],
4077  [1.00000000000, 89.99999999999, 89.99999999999]
4078  ],
4079  [
4080  [0,2,3,1],
4081  [5,1,3,7],
4082  [5,7,8],
4083  [4,0,1,5],
4084  [4,5,8],
4085  [6,2,0,4],
4086  [6,4,8],
4087  [7,3,2,6],
4088  [7,6,8]
4089  ],
4090  [
4091  [0,1],
4092  [0,2],
4093  [0,4],
4094  [1,3],
4095  [1,5],
4096  [2,3],
4097  [2,6],
4098  [3,7],
4099  [4,5],
4100  [4,6],
4101  [4,8],
4102  [5,7],
4103  [5,8],
4104  [6,7],
4105  [6,8],
4106  [7,8]
4107  ]
4108  ],
4109  [
4110  "elongated_triangular_cupola",
4111  "Elongated Triangular Cupola",
4112  "J18",
4113  "johnson",
4114  "Polyhedron Database #62",
4115  [
4116  [-0.39744851381, 0.18815267000, 0.68840101930],
4117  [ 0.39744851381, 0.18815267000, 0.68840101930],
4118  [-0.39744851381, 0.83718337523, 0.22946700643],
4119  [-0.39744851381, -0.60674435761, 0.68840101930],
4120  [ 0.39744851381, 0.83718337523, 0.22946700643],
4121  [ 0.39744851381, -0.60674435761, 0.68840101930],
4122  [-0.79489702761, 0.18815267000, -0.00000000000],
4123  [-0.79489702761, -0.60674435761, 0.00000000000],
4124  [ 0.79489702761, 0.18815267000, -0.00000000000],
4125  [ 0.00000000000, 0.83718337523, -0.45893401287],
4126  [ 0.79489702761, -0.60674435761, 0.00000000000],
4127  [-0.39744851381, 0.18815267000, -0.68840101930],
4128  [ 0.39744851381, 0.18815267000, -0.68840101930],
4129  [-0.39744851381, -0.60674435761, -0.68840101930],
4130  [ 0.39744851381, -0.60674435761, -0.68840101930]
4131  ],
4132  [
4133  [0.81686150095, 154.66706138696, 32.56951168616],
4134  [0.81686150095, 25.33293861303, 32.56951168616],
4135  [0.95472322268, 115.39579012297, 76.09284596359],
4136  [1.00000000000, -123.22684459476, 46.49633140652],
4137  [0.95472322268, 64.60420987700, 76.09284596359],
4138  [1.00000000000, -56.77315540524, 46.49633140652],
4139  [0.81686150095, 166.68314145253, 89.99999999999],
4140  [1.00000000000, -142.64553072758, 89.99999999999],
4141  [0.81686150095, 13.31685854744, 89.99999999999],
4142  [0.95472322268, 89.99999999999, 118.73103152952],
4143  [1.00000000000, -37.35446927244, 89.99999999999],
4144  [0.81686150095, 154.66706138695, 147.43048831383],
4145  [0.81686150095, 25.33293861300, 147.43048831382],
4146  [1.00000000000, -123.22684459476, 133.50366859346],
4147  [1.00000000000, -56.77315540525, 133.50366859346]
4148  ],
4149  [
4150  [13,7,3,5,10,14],
4151  [1,5,3,0],
4152  [8,10,5,1],
4153  [12,14,10,8],
4154  [11,13,14,12],
4155  [6,7,13,11],
4156  [0,3,7,6],
4157  [2,9,4],
4158  [12,8,4,9],
4159  [11,12,9],
4160  [6,11,9,2],
4161  [0,6,2],
4162  [1,0,2,4],
4163  [8,1,4]
4164  ],
4165  [
4166  [0,1],
4167  [0,2],
4168  [0,3],
4169  [0,6],
4170  [1,4],
4171  [1,5],
4172  [1,8],
4173  [2,4],
4174  [2,6],
4175  [2,9],
4176  [3,5],
4177  [3,7],
4178  [4,8],
4179  [4,9],
4180  [5,10],
4181  [6,7],
4182  [6,11],
4183  [7,13],
4184  [8,10],
4185  [8,12],
4186  [9,11],
4187  [9,12],
4188  [10,14],
4189  [11,12],
4190  [11,13],
4191  [12,14],
4192  [13,14]
4193  ]
4194  ],
4195  [
4196  "elongated_triangular_dipyramid",
4197  "Elongated Triangular Dipyramid",
4198  "J14",
4199  "johnson",
4200  "Polyhedron Database #58",
4201  [
4202  [-0.37979589711, 0.37979589711, 0.21927526344],
4203  [ 0.00000000000, 1.00000000000, 0.00000000000],
4204  [-0.37979589711, -0.37979589711, 0.21927526344],
4205  [-0.00000000000, 0.37979589711, -0.43855052687],
4206  [ 0.00000000000, -0.37979589711, -0.43855052687],
4207  [ 0.37979589711, 0.37979589711, 0.21927526344],
4208  [-0.00000000000, -1.00000000000, 0.00000000000],
4209  [ 0.37979589711, -0.37979589711, 0.21927526344]
4210  ],
4211  [
4212  [0.58014781572, 134.99999999999, 67.79234570140],
4213  [1.00000000000, 89.99999999999, 89.99999999999],
4214  [0.58014781572, -134.99999999999, 67.79234570140],
4215  [0.58014781572, 89.99999999999, 139.10660535086],
4216  [0.58014781572, -89.99999999999, 139.10660535086],
4217  [0.58014781572, 45.00000000000, 67.79234570140],
4218  [1.00000000000, -89.99999999999, 89.99999999999],
4219  [0.58014781572, -45.00000000000, 67.79234570140]
4220  ],
4221  [
4222  [5,3,4,7],
4223  [6,7,4],
4224  [1,3,5],
4225  [3,0,2,4],
4226  [6,4,2],
4227  [1,0,3],
4228  [0,5,7,2],
4229  [6,2,7],
4230  [1,5,0]
4231  ],
4232  [
4233  [0,1],
4234  [0,2],
4235  [0,3],
4236  [0,5],
4237  [1,3],
4238  [1,5],
4239  [2,4],
4240  [2,6],
4241  [2,7],
4242  [3,4],
4243  [3,5],
4244  [4,6],
4245  [4,7],
4246  [5,7],
4247  [6,7]
4248  ]
4249  ],
4250  [
4251  "elongated_triangular_gyrobicupola",
4252  "Elongated Triangular gyrobicupola",
4253  "J36",
4254  "johnson",
4255  "Polyhedron Database #80",
4256  [
4257  [-0.69563696953, 0.34781848477, -0.00000000000],
4258  [-0.69563696953, -0.34781848477, -0.00000000000],
4259  [-0.34781848477, 0.34781848477, 0.60243928743],
4260  [-0.34781848477, 0.91580369196, 0.20081309581],
4261  [-0.34781848477, -0.34781848477, 0.60243928743],
4262  [-0.34781848477, 0.34781848477, -0.60243928743],
4263  [-0.34781848477, -0.91580369196, -0.20081309581],
4264  [-0.34781848477, -0.34781848477, -0.60243928743],
4265  [ 0.00000000000, -0.91580369196, 0.40162619162],
4266  [-0.00000000000, 0.91580369196, -0.40162619162],
4267  [ 0.34781848477, 0.34781848477, 0.60243928743],
4268  [ 0.34781848477, 0.91580369196, 0.20081309581],
4269  [ 0.34781848477, -0.34781848477, 0.60243928743],
4270  [ 0.34781848477, 0.34781848477, -0.60243928743],
4271  [ 0.34781848477, -0.91580369196, -0.20081309581],
4272  [ 0.34781848477, -0.34781848477, -0.60243928743],
4273  [ 0.69563696953, 0.34781848477, 0.00000000000],
4274  [ 0.69563696953, -0.34781848477, 0.00000000000]
4275  ],
4276  [
4277  [0.77774577577, 153.43494882292, 90.00000000000],
4278  [0.77774577577, -153.43494882291, 89.99999999999],
4279  [0.77774577577, 135.00000000002, 39.23152048360],
4280  [1.00000000000, 110.79657166067, 78.41548931875],
4281  [0.77774577577, -135.00000000000, 39.23152048359],
4282  [0.77774577577, 134.99999999998, 140.76847951640],
4283  [1.00000000000, -110.79657166066, 101.58451068125],
4284  [0.77774577577, -134.99999999997, 140.76847951640],
4285  [1.00000000000, -89.99999999999, 66.32012099849],
4286  [1.00000000000, 89.99999999999, 113.67987900150],
4287  [0.77774577577, 45.00000000001, 39.23152048359],
4288  [1.00000000000, 69.20342833933, 78.41548931874],
4289  [0.77774577577, -45.00000000001, 39.23152048359],
4290  [0.77774577577, 44.99999999999, 140.76847951639],
4291  [1.00000000000, -69.20342833932, 101.58451068124],
4292  [0.77774577577, -44.99999999997, 140.76847951639],
4293  [0.77774577577, 26.56505117708, 89.99999999999],
4294  [0.77774577577, -26.56505117707, 89.99999999999]
4295  ],
4296  [
4297  [9,11,3],
4298  [10,2,3,11],
4299  [16,10,11],
4300  [13,16,11,9],
4301  [5,13,9],
4302  [0,5,9,3],
4303  [2,0,3],
4304  [6,8,14],
4305  [12,17,14,8],
4306  [4,12,8],
4307  [1,4,8,6],
4308  [7,1,6],
4309  [15,7,6,14],
4310  [17,15,14],
4311  [0,1,7,5],
4312  [2,4,1,0],
4313  [10,12,4,2],
4314  [16,17,12,10],
4315  [13,15,17,16],
4316  [5,7,15,13]
4317  ],
4318  [
4319  [0,1],
4320  [0,2],
4321  [0,3],
4322  [0,5],
4323  [1,4],
4324  [1,6],
4325  [1,7],
4326  [2,3],
4327  [2,4],
4328  [2,10],
4329  [3,9],
4330  [3,11],
4331  [4,8],
4332  [4,12],
4333  [5,7],
4334  [5,9],
4335  [5,13],
4336  [6,7],
4337  [6,8],
4338  [6,14],
4339  [7,15],
4340  [8,12],
4341  [8,14],
4342  [9,11],
4343  [9,13],
4344  [10,11],
4345  [10,12],
4346  [10,16],
4347  [11,16],
4348  [12,17],
4349  [13,15],
4350  [13,16],
4351  [14,15],
4352  [14,17],
4353  [15,17],
4354  [16,17]
4355  ]
4356  ],
4357  [
4358  "elongated_triangular_orthobicupola",
4359  "Elongated Triangular Orthobicupola",
4360  "J35",
4361  "johnson",
4362  "Polyhedron Database #79",
4363  [
4364  [-0.34781848477, -0.00000000000, 0.69563696953],
4365  [-0.91580369196, -0.20081309581, 0.34781848477],
4366  [-0.34781848477, -0.60243928743, 0.34781848477],
4367  [ 0.34781848477, 0.00000000000, 0.69563696953],
4368  [-0.34781848477, 0.60243928743, 0.34781848477],
4369  [-0.91580369196, 0.40162619162, 0.00000000000],
4370  [ 0.34781848477, -0.60243928743, 0.34781848477],
4371  [ 0.34781848477, 0.60243928743, 0.34781848477],
4372  [-0.91580369196, -0.20081309581, -0.34781848477],
4373  [ 0.91580369196, -0.20081309581, 0.34781848477],
4374  [-0.34781848477, -0.60243928743, -0.34781848477],
4375  [-0.34781848477, 0.60243928743, -0.34781848477],
4376  [ 0.91580369196, 0.40162619162, 0.00000000000],
4377  [ 0.34781848477, -0.60243928743, -0.34781848477],
4378  [-0.34781848477, -0.00000000000, -0.69563696953],
4379  [ 0.34781848477, 0.60243928743, -0.34781848477],
4380  [ 0.91580369196, -0.20081309581, -0.34781848477],
4381  [ 0.34781848477, 0.00000000000, -0.69563696953]
4382  ],
4383  [
4384  [0.77774577577, -179.99999999997, 26.56505117707],
4385  [1.00000000000, -167.63219484137, 69.64605818337],
4386  [0.77774577577, -119.99999999999, 63.43494882292],
4387  [0.77774577577, 0.00000000002, 26.56505117708],
4388  [0.77774577577, 119.99999999999, 63.43494882292],
4389  [1.00000000000, 156.32012099849, 89.99999999999],
4390  [0.77774577577, -60.00000000000, 63.43494882291],
4391  [0.77774577577, 60.00000000000, 63.43494882292],
4392  [1.00000000000, -167.63219484136, 110.35394181662],
4393  [1.00000000000, -12.36780515862, 69.64605818337],
4394  [0.77774577577, -119.99999999999, 116.56505117707],
4395  [0.77774577577, 119.99999999999, 116.56505117707],
4396  [1.00000000000, 23.67987900150, 89.99999999999],
4397  [0.77774577577, -60.00000000000, 116.56505117707],
4398  [0.77774577577, -179.99999999997, 153.43494882291],
4399  [0.77774577577, 60.00000000000, 116.56505117707],
4400  [1.00000000000, -12.36780515862, 110.35394181661],
4401  [0.77774577577, 0.00000000002, 153.43494882292]
4402  ],
4403  [
4404  [12,16,9],
4405  [13,6,9,16],
4406  [17,13,16],
4407  [15,17,16,12],
4408  [7,15,12],
4409  [3,7,12,9],
4410  [6,3,9],
4411  [5,1,8],
4412  [2,10,8,1],
4413  [0,2,1],
4414  [4,0,1,5],
4415  [11,4,5],
4416  [14,11,5,8],
4417  [10,14,8],
4418  [3,0,4,7],
4419  [6,2,0,3],
4420  [13,10,2,6],
4421  [17,14,10,13],
4422  [15,11,14,17],
4423  [7,4,11,15]
4424  ],
4425  [
4426  [0,1],
4427  [0,2],
4428  [0,3],
4429  [0,4],
4430  [1,2],
4431  [1,5],
4432  [1,8],
4433  [2,6],
4434  [2,10],
4435  [3,6],
4436  [3,7],
4437  [3,9],
4438  [4,5],
4439  [4,7],
4440  [4,11],
4441  [5,8],
4442  [5,11],
4443  [6,9],
4444  [6,13],
4445  [7,12],
4446  [7,15],
4447  [8,10],
4448  [8,14],
4449  [9,12],
4450  [9,16],
4451  [10,13],
4452  [10,14],
4453  [11,14],
4454  [11,15],
4455  [12,15],
4456  [12,16],
4457  [13,16],
4458  [13,17],
4459  [14,17],
4460  [15,17],
4461  [16,17]
4462  ]
4463  ],
4464  [
4465  "elongated_triangular_pyramid",
4466  "Elongated Triangular Pyramid",
4467  "J7",
4468  "johnson",
4469  "Polyhedron Database #51",
4470  [
4471  [ 0.00000000000, -0.60976187997, -0.51164228135],
4472  [ 0.00000000000, 0.27642854663, -0.51164228135],
4473  [ 0.44309521330, -0.60976187997, 0.25582114067],
4474  [ 0.44309521330, 0.27642854663, 0.25582114067],
4475  [-0.44309521330, -0.60976187997, 0.25582114067],
4476  [ 0.00000000000, 1.00000000000, 0.00000000000],
4477  [-0.44309521330, 0.27642854663, 0.25582114067]
4478  ],
4479  [
4480  [0.79598201884, -89.99999999999, 129.99952097856],
4481  [0.58154154233, 89.99999999999, 151.61866820813],
4482  [0.79598201884, -53.99524781249, 71.25295650495],
4483  [0.58154154233, 31.95831192805, 63.90238759393],
4484  [0.79598201884, -126.00475218750, 71.25295650495],
4485  [1.00000000000, 89.99999999999, 89.99999999999],
4486  [0.58154154233, 148.04168807192, 63.90238759393]
4487  ],
4488  [
4489  [4,2,0],
4490  [1,0,2,3],
4491  [1,3,5],
4492  [6,4,0,1],
4493  [6,1,5],
4494  [3,2,4,6],
4495  [3,6,5]
4496  ],
4497  [
4498  [0,1],
4499  [0,2],
4500  [0,4],
4501  [1,3],
4502  [1,5],
4503  [1,6],
4504  [2,3],
4505  [2,4],
4506  [3,5],
4507  [3,6],
4508  [4,6],
4509  [5,6]
4510  ]
4511  ],
4512  [
4513  "gyrate_bidiminished_rhombicosidodecahedron",
4514  "Gyrate Bidiminished Rhombicosidodecahedron",
4515  "J82",
4516  "johnson",
4517  "Polyhedron Database #126",
4518  [
4519  [-0.79612575929, -0.11336310844, 0.25867693987],
4520  [-0.66947058787, 0.23528866771, 0.43300282795],
4521  [-0.59119338708, -0.32884175635, 0.54074215190],
4522  [-0.46453821566, 0.01981001981, 0.71506803998],
4523  [-0.83113238770, 0.07936685332, -0.10134917936],
4524  [-0.79612575929, -0.32884175635, -0.08997483629],
4525  [-0.70447721628, 0.42801862948, 0.07297670872],
4526  [-0.46453821566, -0.67749353251, 0.36641626382],
4527  [-0.25960584345, -0.32884175635, 0.78165460411],
4528  [-0.46453821566, 0.58394044387, 0.36641626382],
4529  [-0.59119338708, -0.67749353251, -0.02338827216],
4530  [-0.13295067202, 0.23528866771, 0.82280736393],
4531  [-0.70447721628, 0.07936685332, -0.49115371534],
4532  [-0.66947058787, -0.32884175635, -0.47977937227],
4533  [-0.13295067202, -0.67749353251, 0.60732871603],
4534  [-0.13295067202, 0.58394044387, 0.60732871603],
4535  [-0.49954484407, 0.64349727738, -0.20908850331],
4536  [ 0.07198170019, -0.11336310845, 0.88939392806],
4537  [-0.46453821566, -0.67749353251, -0.41319280814],
4538  [-0.25960584345, 0.79941909177, 0.08435105179],
4539  [-0.49954484407, 0.42801862948, -0.55774027947],
4540  [-0.46453821566, -0.11336310844, -0.76184458430],
4541  [ 0.27691407240, 0.23528866771, 0.82280736393],
4542  [ 0.07198170019, 0.79941909177, 0.32526350400],
4543  [ 0.27691407240, -0.67749353251, 0.60732871603],
4544  [ 0.27691407240, 0.58394044387, 0.60732871603],
4545  [ 0.40356924382, -0.32884175635, 0.78165460411],
4546  [-0.13295067202, 0.79941909177, -0.30545348419],
4547  [-0.25960584345, 0.23528866771, -0.82843114843],
4548  [-0.13295067202, -0.67749353251, -0.65410526035],
4549  [-0.13295067202, 0.58394044387, -0.65410526035],
4550  [-0.13295067202, -0.32884175635, -0.86958390825],
4551  [ 0.60850161603, 0.01981001981, 0.71506803998],
4552  [ 0.40356924382, 0.79941909177, 0.08435105179],
4553  [ 0.60850161603, -0.67749353251, 0.36641626382],
4554  [ 0.27691407240, 0.79941909177, -0.30545348419],
4555  [ 0.60850161603, 0.58394044387, 0.36641626382],
4556  [ 0.73515678745, -0.32884175635, 0.54074215190],
4557  [ 0.07198170019, 0.01981001981, -0.93617047238],
4558  [ 0.27691407240, -0.67749353251, -0.65410526035],
4559  [ 0.27691407240, 0.58394044387, -0.65410526035],
4560  [ 0.81343398824, 0.23528866771, 0.43300282795],
4561  [ 0.27691407240, -0.32884175635, -0.86958390825],
4562  [ 0.73515678745, -0.67749353251, -0.02338827216],
4563  [ 0.60850161603, -0.67749353251, -0.41319280814],
4564  [ 0.40356924382, 0.23528866771, -0.82843114843],
4565  [ 0.94008915966, -0.11336310845, 0.25867693987],
4566  [ 0.60850161603, -0.11336310844, -0.76184458430],
4567  [ 0.94008915966, -0.32884175635, -0.08997483629],
4568  [ 0.81343398824, -0.32884175635, -0.47977937227]
4569  ],
4570  [
4571  [0.84473734272, -171.89593457093, 72.16831812031],
4572  [0.83129000607, 160.63572888912, 58.60866178300],
4573  [0.86605346053, -150.91570823295, 51.36366929030],
4574  [0.85294225625, 177.55812719079, 33.03322781967],
4575  [0.84104209137, 174.54522686018, 96.92120742169],
4576  [0.86605346053, -157.55680376221, 95.96325455843],
4577  [0.82753470952, 148.71842507240, 84.94076100373],
4578  [0.89947435694, -124.43733388196, 65.96045265335],
4579  [0.88685738132, -128.28951171496, 28.19123079339],
4580  [0.83129000607, 128.50306555186, 63.84632162628],
4581  [0.89947435694, -131.10855239305, 91.48998170361],
4582  [0.86605346053, 119.46876936925, 18.18288150231],
4583  [0.86244954505, 173.57212452891, 124.71445327691],
4584  [0.88685738132, -153.83988066566, 122.75093479887],
4585  [0.91952245057, -101.10258355925, 48.66329961924],
4586  [0.85294225625, 102.82637014166, 44.59888890325],
4587  [0.84104209137, 127.82207342079, 104.39506542626],
4588  [0.89947435694, -57.58584792520, 8.58596617930],
4589  [0.91952245057, -124.43733388197, 116.70236456372],
4590  [0.84473734272, 107.99084811856, 84.26919253434],
4591  [0.86244954505, 139.40946233766, 130.29274684595],
4592  [0.89947435694, -166.28592578126, 147.88563501278],
4593  [0.89947435694, 40.35392897533, 23.82767074809],
4594  [0.86605346053, 84.85481947589, 67.94046716716],
4595  [0.95106627497, -67.76853747710, 50.31423441003],
4596  [0.88685738132, 64.62892993778, 46.77934117875],
4597  [0.93914267042, -39.17430281628, 33.66358843717],
4598  [0.86605346053, 99.44238786019, 110.65229588034],
4599  [0.89947435694, 137.81302751516, 157.07521199724],
4600  [0.95106627497, -101.10258355926, 133.45304725996],
4601  [0.88685738132, 102.82637014164, 137.52347354156],
4602  [0.93914267042, -112.01347609137, 157.80958253688],
4603  [0.93914267042, 1.86462905416, 40.41177254627],
4604  [0.89947435694, 63.21407138989, 84.61900031570],
4605  [0.98159695481, -48.07089785435, 68.08159189905],
4606  [0.89947435694, 70.89421531419, 109.85196349555],
4607  [0.91952245057, 43.82002439110, 66.51647291458],
4608  [0.97004869862, -24.09936572679, 56.12118676306],
4609  [0.93914267042, 15.38738952758, 175.44041496423],
4610  [0.98159695481, -67.76853747708, 131.78739646551],
4611  [0.91952245057, 64.62892993780, 135.34512433191],
4612  [0.95106627497, 16.13270043691, 62.91695564466],
4613  [0.97004869862, -49.89963289594, 153.69312390164],
4614  [1.00000000000, -42.66252981734, 91.34017148525],
4615  [1.00000000000, -48.07089785433, 114.40556045558],
4616  [0.95106627497, 30.24301168600, 150.58148371072],
4617  [0.98159695481, -6.87596095408, 74.72057657713],
4618  [0.98159695481, -10.55315342486, 140.90738566729],
4619  [1.00000000000, -19.27975923521, 95.16215944299],
4620  [1.00000000000, -22.01169124502, 118.67099346243]
4621  ],
4622  [
4623  [25,23,33,36],
4624  [15,23,25],
4625  [15,9,19,23],
4626  [23,19,27,35,33],
4627  [19,16,27],
4628  [9,6,16,19],
4629  [27,16,20,30],
4630  [20,28,30],
4631  [20,12,21,28],
4632  [16,6,4,12,20],
4633  [12,13,21],
4634  [4,5,13,12],
4635  [22,11,15,25],
4636  [17,11,22],
4637  [17,8,3,11],
4638  [11,3,1,9,15],
4639  [8,2,3],
4640  [14,7,2,8],
4641  [3,2,0,1],
4642  [1,6,9],
4643  [1,0,4,6],
4644  [2,7,10,5,0],
4645  [0,5,4],
4646  [10,18,13,5],
4647  [32,26,17,22],
4648  [37,26,32],
4649  [37,34,24,26],
4650  [26,24,14,8,17],
4651  [39,29,18,10,7,14,24,34,43,44],
4652  [41,46,37,32],
4653  [36,33,35,40,45,47,49,48,46,41],
4654  [46,48,43,34,37],
4655  [48,49,44,43],
4656  [49,47,42,39,44],
4657  [42,31,29,39],
4658  [27,30,40,35],
4659  [45,38,42,47],
4660  [40,30,28,38,45],
4661  [38,31,42],
4662  [28,21,31,38],
4663  [41,32,22,25,36],
4664  [21,13,18,29,31]
4665  ],
4666  [
4667  [0,1],
4668  [0,2],
4669  [0,4],
4670  [0,5],
4671  [1,3],
4672  [1,6],
4673  [1,9],
4674  [2,3],
4675  [2,7],
4676  [2,8],
4677  [3,8],
4678  [3,11],
4679  [4,5],
4680  [4,6],
4681  [4,12],
4682  [5,10],
4683  [5,13],
4684  [6,9],
4685  [6,16],
4686  [7,10],
4687  [7,14],
4688  [8,14],
4689  [8,17],
4690  [9,15],
4691  [9,19],
4692  [10,18],
4693  [11,15],
4694  [11,17],
4695  [11,22],
4696  [12,13],
4697  [12,20],
4698  [12,21],
4699  [13,18],
4700  [13,21],
4701  [14,24],
4702  [15,23],
4703  [15,25],
4704  [16,19],
4705  [16,20],
4706  [16,27],
4707  [17,22],
4708  [17,26],
4709  [18,29],
4710  [19,23],
4711  [19,27],
4712  [20,28],
4713  [20,30],
4714  [21,28],
4715  [21,31],
4716  [22,25],
4717  [22,32],
4718  [23,25],
4719  [23,33],
4720  [24,26],
4721  [24,34],
4722  [25,36],
4723  [26,32],
4724  [26,37],
4725  [27,30],
4726  [27,35],
4727  [28,30],
4728  [28,38],
4729  [29,31],
4730  [29,39],
4731  [30,40],
4732  [31,38],
4733  [31,42],
4734  [32,37],
4735  [32,41],
4736  [33,35],
4737  [33,36],
4738  [34,37],
4739  [34,43],
4740  [35,40],
4741  [36,41],
4742  [37,46],
4743  [38,42],
4744  [38,45],
4745  [39,42],
4746  [39,44],
4747  [40,45],
4748  [41,46],
4749  [42,47],
4750  [43,44],
4751  [43,48],
4752  [44,49],
4753  [45,47],
4754  [46,48],
4755  [47,49],
4756  [48,49]
4757  ]
4758  ],
4759  [
4760  "gyrate_rhombicosidodecahedron",
4761  "Gyrate Rhombicosidodecahedron",
4762  "J72",
4763  "johnson",
4764  "Polyhedron Database #116",
4765  [
4766  [-0.22391883643, -0.68915170697, -0.68915174456],
4767  [-0.58622734404, -0.68915176147, -0.42591923920],
4768  [-0.22391886846, -0.30819800523, -0.92459405956],
4769  [-0.81014634819, -0.30819809340, -0.49867491894],
4770  [-0.58622739587, -0.07275572390, -0.80687290726],
4771  [ 0.00000013569, -0.92459402197, -0.38095372899],
4772  [ 0.22391908801, -0.68915165248, -0.68915171731],
4773  [-0.36230837193, -0.92459407647, -0.11772122363],
4774  [ 0.22391905598, -0.30819795073, -0.92459403231],
4775  [-0.72461689934, -0.68915179515, -0.00000007133],
4776  [ 0.00000005183, 0.07275571733, -0.99734971206],
4777  [-0.94853590348, -0.30819812708, -0.07275575108],
4778  [-0.36230847558, 0.30819799866, -0.87962855976],
4779  [-0.94853593552, 0.07275557466, -0.30819806608],
4780  [-0.72461698319, 0.30819794416, -0.61639605440],
4781  [ 0.36230861127, -0.92459398829, -0.11772117954],
4782  [ 0.58622756359, -0.68915161880, -0.42591916786],
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4787  [ 0.22391905598, -0.92459402197, 0.30819798832],
4788  [-0.94853595531, -0.07275581208, 0.30819795066],
4789  [ 0.81014648388, -0.30819789624, -0.49867482036],
4790  [-0.22391900415, 0.68915170040, -0.68915169006],
4791  [-0.94853598734, 0.30819788967, 0.07275563566],
4792  [-0.58622751176, 0.68915164590, -0.42591918470],
4793  [ 0.72461706705, -0.68915161880, 0.00000001684],
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4795  [-0.22391892029, -0.68915176147, 0.68915166281],
4796  [ 0.22391892029, 0.68915175489, -0.68915166281],
4797  [ 0.84839635554, 0.13783046089, -0.51110295447],
4798  [-0.72461706705, 0.68915161222, -0.00000001684],
4799  [ 0.58622751176, -0.68915165248, 0.42591918470],
4800  [ 0.62447735140, 0.51878412896, -0.58385863422],
4801  [ 0.94853598734, -0.30819789624, -0.07275563566],
4802  [ 0.22391900415, -0.68915170697, 0.68915169006],
4803  [-0.81014648388, 0.30819788967, 0.49867482036],
4804  [-0.22391905598, 0.92459406990, -0.30819798832],
4805  [-0.36230850761, -0.30819809340, 0.87962851567],
4806  [-0.58622751176, 0.07275557466, 0.80687283593],
4807  [ 0.22391886846, 0.92459406990, -0.30819796107],
4808  [ 0.98678585901, 0.13783046089, -0.08518376977],
4809  [-0.58622756359, 0.68915161222, 0.42591916786],
4810  [-0.36230861127, 0.92459406990, 0.11772117954],
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4814  [ 0.36230847558, -0.30819800523, 0.87962855976],
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4818  [ 0.36230837193, 0.92459406990, 0.11772122363],
4819  [-0.22391908801, 0.68915164590, 0.68915171731],
4820  [-0.00000013569, 0.92459406990, 0.38095372899],
4821  [ 0.58622739587, 0.07275571733, 0.80687290726],
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4824  [ 0.58622734404, 0.68915175489, 0.42591923920],
4825  [ 0.22391883643, 0.68915170040, 0.68915174456]
4826  ],
4827  [
4828  [0.99999992378, -107.99999046038, 133.56300370786],
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4830  [0.99999992253, -125.99998912437, 157.60723281191],
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4859  [0.99999992106, 9.22765263458, 120.73732763647],
4860  [0.99999991925, 136.43700650881, 90.00000096485],
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4862  [0.99999991981, 39.71808407508, 125.72240191849],
4863  [0.99999992253, -17.99999297182, 94.17227762853],
4864  [0.99999992378, -71.99999692719, 46.43700060106],
4865  [0.99999992050, 159.17206275317, 60.08763189933],
4866  [0.99999996886, 103.61382741646, 107.95066698712],
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4869  [0.99999991847, 76.38618355970, 107.95066628132],
4870  [0.99999992106, 7.95141167878, 94.88659281586],
4871  [0.99999991925, 130.38618660694, 64.79114020323],
4872  [1.00000000000, 111.39807457246, 83.23939644770],
4873  [0.99999992253, -23.04127798437, 51.94656625855],
4874  [0.99999991903, 50.37624374108, 101.70688416918],
4875  [0.99999992175, -4.38617160268, 72.04932745474],
4876  [0.99999992253, -40.38617825660, 28.40240256389],
4877  [0.99999992175, -90.00004081485, 4.17228270123],
4878  [0.99999991981, 31.44528494299, 83.95594692549],
4879  [0.99999992050, 126.00001733900, 22.39277100444],
4880  [0.99999991847, 68.60193828489, 83.23939335025],
4881  [0.99999991925, 108.00001087114, 46.43699819980],
4882  [0.99999996886, 90.00000840827, 67.60722792344],
4883  [0.99999992127, 7.07470926624, 36.20847229571],
4884  [0.99999992050, 20.82795261694, 60.08762538293],
4885  [0.99999992050, 54.00001029464, 22.39276690641],
4886  [0.99999991925, 49.61382983694, 64.79113568582],
4887  [0.99999991925, 72.00000937903, 46.43699604533]
4888  ],
4889  [
4890  [48,45,33,36],
4891  [55,45,48],
4892  [55,56,47,45],
4893  [45,47,35,27,33],
4894  [47,42,35],
4895  [56,50,42,47],
4896  [35,42,31,23],
4897  [31,18,23],
4898  [31,34,20,18],
4899  [42,50,46,34,31],
4900  [34,30,20],
4901  [46,41,30,34],
4902  [49,57,55,48],
4903  [51,57,49],
4904  [51,53,59,57],
4905  [57,59,58,56,55],
4906  [53,54,59],
4907  [43,44,54,53],
4908  [59,54,52,58],
4909  [58,50,56],
4910  [58,52,46,50],
4911  [54,44,38,41,52],
4912  [52,41,46],
4913  [38,24,30,41],
4914  [39,40,51,49],
4915  [28,40,39],
4916  [28,22,37,40],
4917  [40,37,43,53,51],
4918  [22,25,37],
4919  [11,13,25,22],
4920  [37,25,32,43],
4921  [32,44,43],
4922  [32,26,38,44],
4923  [25,13,14,26,32],
4924  [26,24,38],
4925  [14,12,24,26],
4926  [29,19,28,39],
4927  [17,19,29],
4928  [17,7,9,19],
4929  [19,9,11,22,28],
4930  [7,1,9],
4931  [5,0,1,7],
4932  [9,1,3,11],
4933  [3,13,11],
4934  [3,4,14,13],
4935  [1,0,2,4,3],
4936  [4,12,14],
4937  [2,10,12,4],
4938  [36,21,17,29],
4939  [33,21,36],
4940  [33,27,15,21],
4941  [21,15,5,7,17],
4942  [27,16,15],
4943  [35,23,16,27],
4944  [15,16,6,5],
4945  [6,0,5],
4946  [6,8,2,0],
4947  [16,23,18,8,6],
4948  [8,10,2],
4949  [18,20,10,8],
4950  [29,39,49,48,36],
4951  [20,30,24,12,10]
4952  ],
4953  [
4954  [0,1],
4955  [0,2],
4956  [0,5],
4957  [0,6],
4958  [1,3],
4959  [1,7],
4960  [1,9],
4961  [2,4],
4962  [2,8],
4963  [2,10],
4964  [3,4],
4965  [3,11],
4966  [3,13],
4967  [4,12],
4968  [4,14],
4969  [5,6],
4970  [5,7],
4971  [5,15],
4972  [6,8],
4973  [6,16],
4974  [7,9],
4975  [7,17],
4976  [8,10],
4977  [8,18],
4978  [9,11],
4979  [9,19],
4980  [10,12],
4981  [10,20],
4982  [11,13],
4983  [11,22],
4984  [12,14],
4985  [12,24],
4986  [13,14],
4987  [13,25],
4988  [14,26],
4989  [15,16],
4990  [15,21],
4991  [15,27],
4992  [16,23],
4993  [16,27],
4994  [17,19],
4995  [17,21],
4996  [17,29],
4997  [18,20],
4998  [18,23],
4999  [18,31],
5000  [19,28],
5001  [19,29],
5002  [20,30],
5003  [20,34],
5004  [21,33],
5005  [21,36],
5006  [22,25],
5007  [22,28],
5008  [22,37],
5009  [23,31],
5010  [23,35],
5011  [24,26],
5012  [24,30],
5013  [24,38],
5014  [25,32],
5015  [25,37],
5016  [26,32],
5017  [26,38],
5018  [27,33],
5019  [27,35],
5020  [28,39],
5021  [28,40],
5022  [29,36],
5023  [29,39],
5024  [30,34],
5025  [30,41],
5026  [31,34],
5027  [31,42],
5028  [32,43],
5029  [32,44],
5030  [33,36],
5031  [33,45],
5032  [34,46],
5033  [35,42],
5034  [35,47],
5035  [36,48],
5036  [37,40],
5037  [37,43],
5038  [38,41],
5039  [38,44],
5040  [39,40],
5041  [39,49],
5042  [40,51],
5043  [41,46],
5044  [41,52],
5045  [42,47],
5046  [42,50],
5047  [43,44],
5048  [43,53],
5049  [44,54],
5050  [45,47],
5051  [45,48],
5052  [45,55],
5053  [46,50],
5054  [46,52],
5055  [47,56],
5056  [48,49],
5057  [48,55],
5058  [49,51],
5059  [49,57],
5060  [50,56],
5061  [50,58],
5062  [51,53],
5063  [51,57],
5064  [52,54],
5065  [52,58],
5066  [53,54],
5067  [53,59],
5068  [54,59],
5069  [55,56],
5070  [55,57],
5071  [56,58],
5072  [57,59],
5073  [58,59]
5074  ]
5075  ],
5076  [
5077  "gyrobifastigium",
5078  "Gyrobifastigium",
5079  "J26",
5080  "johnson",
5081  "Exact Mathematics",
5082  [
5083  [-0.50000000000, 0.50000000000, 0.00000000000],
5084  [ 0.50000000000, 0.50000000000, 0.00000000000],
5085  [ 0.50000000000, -0.50000000000, 0.00000000000],
5086  [-0.50000000000, -0.50000000000, 0.00000000000],
5087  [ 0.00000000000, 0.50000000000, 0.86602540378],
5088  [ 0.00000000000, -0.50000000000, 0.86602540378],
5089  [-0.50000000000, 0.00000000000, -0.86602540378],
5090  [ 0.50000000000, 0.00000000000, -0.86602540378]
5091  ],
5092  [
5093  [0.70710678119, 134.99999999999, 89.99999999999],
5094  [0.70710678119, 45.00000000000, 89.99999999999],
5095  [0.70710678119, -45.00000000000, 89.99999999999],
5096  [0.70710678119, -134.99999999999, 89.99999999999],
5097  [1.00000000000, 89.99999999999, 30.00000000000],
5098  [1.00000000000, -89.99999999999, 30.00000000000],
5099  [1.00000000000, 179.99999999999, 149.99999999999],
5100  [1.00000000000, 0.00000000000, 149.99999999999]
5101  ],
5102  [
5103  [4,0,1],
5104  [5,2,3],
5105  [6,0,3],
5106  [7,2,1],
5107  [0,4,5,3],
5108  [2,5,4,1],
5109  [0,6,7,1],
5110  [2,7,6,3]
5111  ],
5112  [
5113  [0,1],
5114  [0,3],
5115  [0,4],
5116  [0,6],
5117  [1,2],
5118  [1,4],
5119  [1,7],
5120  [2,3],
5121  [2,5],
5122  [2,7],
5123  [3,5],
5124  [3,6],
5125  [4,5],
5126  [6,7]
5127  ]
5128  ],
5129  [
5130  "gyroelongated_pentagonal_bicupola",
5131  "Gyroelongated Pentagonal Bicupola",
5132  "J46",
5133  "johnson",
5134  "Polyhedron Database #90",
5135  [
5136  [ 0.00000000000, -0.25750808025, -0.96627614511],
5137  [-0.56796286774, -0.25750808025, -0.78173382265],
5138  [ 0.15698107577, -0.57147023180, -0.48313807255],
5139  [-0.41098179196, -0.57147023180, -0.29859575010],
5140  [ 0.56796286774, -0.25750808025, -0.78173382265],
5141  [-0.29859575010, 0.25750808025, -0.91898322435],
5142  [-0.91898322435, -0.25750808025, -0.29859575010],
5143  [ 0.29859575010, 0.25750808025, -0.91898322435],
5144  [-0.78173382265, 0.25750808025, -0.56796286774],
5145  [ 0.50800143238, -0.57147023180, 0.00000000000],
5146  [-0.41098179196, -0.57147023180, 0.29859575010],
5147  [ 0.91898322435, -0.25750808025, -0.29859575010],
5148  [-0.91898322435, -0.25750808025, 0.29859575010],
5149  [ 0.78173382265, 0.25750808025, -0.56796286774],
5150  [-0.96627614511, 0.25750808025, -0.00000000000],
5151  [-0.29859575010, 0.57147023180, -0.41098179196],
5152  [ 0.15698107577, -0.57147023180, 0.48313807255],
5153  [ 0.29859575010, 0.57147023180, -0.41098179196],
5154  [ 0.91898322435, -0.25750808025, 0.29859575010],
5155  [-0.56796286774, -0.25750808025, 0.78173382265],
5156  [ 0.96627614511, 0.25750808025, 0.00000000000],
5157  [-0.48313807255, 0.57147023180, 0.15698107577],
5158  [-0.78173382265, 0.25750808025, 0.56796286774],
5159  [ 0.56796286774, -0.25750808025, 0.78173382265],
5160  [ 0.48313807255, 0.57147023180, 0.15698107577],
5161  [-0.00000000000, -0.25750808025, 0.96627614511],
5162  [ 0.00000000000, 0.57147023180, 0.50800143238],
5163  [ 0.78173382265, 0.25750808025, 0.56796286774],
5164  [-0.29859575010, 0.25750808025, 0.91898322435],
5165  [ 0.29859575010, 0.25750808025, 0.91898322435]
5166  ],
5167  [
5168  [1.00000000000, -89.99999999999, 165.07774833350],
5169  [1.00000000000, -155.61098626196, 141.41959783207],
5170  [0.76461995863, -74.63989772271, 129.18799659412],
5171  [0.76461995863, -125.72239323903, 112.98656321525],
5172  [1.00000000000, -24.38901373804, 141.41959783207],
5173  [1.00000000000, 139.22561430133, 156.77788602884],
5174  [1.00000000000, -164.34660886024, 107.37328013248],
5175  [1.00000000000, 40.77438569864, 156.77788602883],
5176  [1.00000000000, 161.76778911694, 124.60829214701],
5177  [0.76461995863, -48.36489848415, 89.99999999999],
5178  [0.76461995863, -125.72239323904, 67.01343678474],
5179  [1.00000000000, -15.65339113976, 107.37328013247],
5180  [1.00000000000, -164.34660886024, 72.62671986752],
5181  [1.00000000000, 18.23221088303, 124.60829214701],
5182  [1.00000000000, 165.07774833350, 90.00000000000],
5183  [0.76461995863, 117.58726882398, 122.51348704618],
5184  [0.76461995863, -74.63989772272, 50.81200340587],
5185  [0.76461995863, 62.41273117600, 122.51348704617],
5186  [1.00000000000, -15.65339113976, 72.62671986751],
5187  [1.00000000000, -155.61098626196, 38.58040216792],
5188  [1.00000000000, 14.92225166648, 89.99999999999],
5189  [0.76461995863, 130.21218041830, 78.15258661285],
5190  [1.00000000000, 161.76778911695, 55.39170785299],
5191  [1.00000000000, -24.38901373804, 38.58040216791],
5192  [0.76461995863, 49.78781958168, 78.15258661285],
5193  [1.00000000000, -90.00000000002, 14.92225166648],
5194  [0.76461995863, 89.99999999999, 48.36489848416],
5195  [1.00000000000, 18.23221088303, 55.39170785298],
5196  [1.00000000000, 139.22561430134, 23.22211397116],
5197  [1.00000000000, 40.77438569866, 23.22211397116]
5198  ],
5199  [
5200  [3,10,16,9,2],
5201  [11,4,2,9],
5202  [18,11,9],
5203  [23,18,9,16],
5204  [25,23,16],
5205  [19,25,16,10],
5206  [12,19,10],
5207  [6,12,10,3],
5208  [1,6,3],
5209  [0,1,3,2],
5210  [4,0,2],
5211  [26,21,15,17,24],
5212  [13,20,24,17],
5213  [7,13,17],
5214  [5,7,17,15],
5215  [8,5,15],
5216  [14,8,15,21],
5217  [22,14,21],
5218  [28,22,21,26],
5219  [29,28,26],
5220  [27,29,26,24],
5221  [20,27,24],
5222  [12,22,19],
5223  [14,22,12],
5224  [6,14,12],
5225  [8,14,6],
5226  [1,8,6],
5227  [5,8,1],
5228  [0,5,1],
5229  [7,5,0],
5230  [4,7,0],
5231  [13,7,4],
5232  [11,13,4],
5233  [20,13,11],
5234  [18,20,11],
5235  [27,20,18],
5236  [23,27,18],
5237  [29,27,23],
5238  [25,29,23],
5239  [28,29,25],
5240  [19,28,25],
5241  [22,28,19]
5242  ],
5243  [
5244  [0,1],
5245  [0,2],
5246  [0,4],
5247  [0,5],
5248  [0,7],
5249  [1,3],
5250  [1,5],
5251  [1,6],
5252  [1,8],
5253  [2,3],
5254  [2,4],
5255  [2,9],
5256  [3,6],
5257  [3,10],
5258  [4,7],
5259  [4,11],
5260  [4,13],
5261  [5,7],
5262  [5,8],
5263  [5,15],
5264  [6,8],
5265  [6,12],
5266  [6,14],
5267  [7,13],
5268  [7,17],
5269  [8,14],
5270  [8,15],
5271  [9,11],
5272  [9,16],
5273  [9,18],
5274  [10,12],
5275  [10,16],
5276  [10,19],
5277  [11,13],
5278  [11,18],
5279  [11,20],
5280  [12,14],
5281  [12,19],
5282  [12,22],
5283  [13,17],
5284  [13,20],
5285  [14,21],
5286  [14,22],
5287  [15,17],
5288  [15,21],
5289  [16,23],
5290  [16,25],
5291  [17,24],
5292  [18,20],
5293  [18,23],
5294  [18,27],
5295  [19,22],
5296  [19,25],
5297  [19,28],
5298  [20,24],
5299  [20,27],
5300  [21,22],
5301  [21,26],
5302  [22,28],
5303  [23,25],
5304  [23,27],
5305  [23,29],
5306  [24,26],
5307  [24,27],
5308  [25,28],
5309  [25,29],
5310  [26,28],
5311  [26,29],
5312  [27,29],
5313  [28,29]
5314  ]
5315  ],
5316  [
5317  "gyroelongated_pentagonal_birotunda",
5318  "Gyroelongated Pentagonal Birotunda",
5319  "J48",
5320  "johnson",
5321  "Polyhedron Database #92",
5322  [
5323  [-0.13158165180, -0.90481393343, -0.40496668354],
5324  [ 0.34448523671, -0.90481393343, -0.25028317474],
5325  [-0.42580716982, -0.90481393343, -0.00000000000],
5326  [ 0.34448523671, -0.90481393343, 0.25028317474],
5327  [-0.13158165180, -0.90481393343, 0.40496668354],
5328  [ 0.21290358491, -0.64165062983, -0.65524985828],
5329  [-0.55738882162, -0.64165062983, -0.40496668354],
5330  [ 0.68897047342, -0.64165062983, -0.00000000000],
5331  [-0.55738882162, -0.64165062983, 0.40496668354],
5332  [ 0.21290358491, -0.64165062983, 0.65524985828],
5333  [-0.00000000000, -0.21584346001, -0.80993336708],
5334  [ 0.47606688851, -0.21584346001, -0.65524985828],
5335  [-0.47606688851, -0.21584346001, -0.65524985828],
5336  [ 0.77029240653, -0.21584346001, -0.25028317474],
5337  [-0.77029240653, -0.21584346001, -0.25028317474],
5338  [ 0.77029240653, -0.21584346001, 0.25028317474],
5339  [-0.77029240653, -0.21584346001, 0.25028317474],
5340  [ 0.47606688851, -0.21584346001, 0.65524985828],
5341  [-0.47606688851, -0.21584346001, 0.65524985828],
5342  [ 0.00000000000, -0.21584346001, 0.80993336708],
5343  [ 0.25028317474, 0.21584346001, -0.77029240653],
5344  [-0.25028317474, 0.21584346001, -0.77029240653],
5345  [ 0.65524985828, 0.21584346001, -0.47606688851],
5346  [-0.65524985828, 0.21584346001, -0.47606688851],
5347  [ 0.80993336708, 0.21584346001, 0.00000000000],
5348  [-0.80993336708, 0.21584346001, 0.00000000000],
5349  [ 0.65524985828, 0.21584346001, 0.47606688851],
5350  [-0.65524985828, 0.21584346001, 0.47606688851],
5351  [ 0.25028317474, 0.21584346001, 0.77029240653],
5352  [-0.25028317474, 0.21584346001, 0.77029240653],
5353  [ 0.40496668354, 0.64165062983, -0.55738882162],
5354  [-0.40496668354, 0.64165062983, -0.55738882162],
5355  [ 0.65524985828, 0.64165062983, 0.21290358491],
5356  [-0.65524985828, 0.64165062983, 0.21290358491],
5357  [-0.00000000000, 0.64165062983, 0.68897047342],
5358  [-0.00000000000, 0.90481393343, -0.42580716982],
5359  [ 0.40496668354, 0.90481393343, -0.13158165180],
5360  [-0.40496668354, 0.90481393343, -0.13158165180],
5361  [ 0.25028317474, 0.90481393343, 0.34448523671],
5362  [-0.25028317474, 0.90481393343, 0.34448523671]
5363  ],
5364  [
5365  [1.00000000000, -98.27417835556, 113.88903937721],
5366  [1.00000000000, -69.15692238051, 104.49426963502],
5367  [1.00000000000, -115.20176532942, 89.99999999999],
5368  [1.00000000000, -69.15692238051, 75.50573036498],
5369  [1.00000000000, -98.27417835556, 66.11096062278],
5370  [0.94148597653, -71.64384150295, 134.10489156378],
5371  [0.94148597653, -130.98018062352, 115.47616921029],
5372  [0.94148597653, -42.96329304615, 89.99999999999],
5373  [0.94148597653, -130.98018062351, 64.52383078970],
5374  [0.94148597653, -71.64384150294, 45.89510843621],
5375  [0.83820072676, -89.99999999999, 165.07774833351],
5376  [0.83820072676, -24.38901373803, 141.41959783208],
5377  [0.83820072676, -155.61098626195, 141.41959783207],
5378  [0.83820072676, -15.65339113975, 107.37328013248],
5379  [0.83820072676, -164.34660886022, 107.37328013247],
5380  [0.83820072676, -15.65339113975, 72.62671986751],
5381  [0.83820072676, -164.34660886022, 72.62671986751],
5382  [0.83820072676, -24.38901373804, 38.58040216792],
5383  [0.83820072676, -155.61098626193, 38.58040216791],
5384  [0.83820072676, -89.99999999997, 14.92225166649],
5385  [0.83820072676, 40.77438569867, 156.77788602883],
5386  [0.83820072676, 139.22561430134, 156.77788602883],
5387  [0.83820072676, 18.23221088305, 124.60829214701],
5388  [0.83820072676, 161.76778911696, 124.60829214700],
5389  [0.83820072676, 14.92225166649, 89.99999999999],
5390  [0.83820072676, 165.07774833352, 89.99999999999],
5391  [0.83820072676, 18.23221088304, 55.39170785298],
5392  [0.83820072676, 161.76778911696, 55.39170785298],
5393  [0.83820072676, 40.77438569864, 23.22211397115],
5394  [0.83820072676, 139.22561430135, 23.22211397115],
5395  [0.94148597653, 57.74263745303, 126.30126224760],
5396  [0.94148597653, 122.25736254697, 126.30126224760],
5397  [0.94148597653, 44.39922157046, 76.93032995022],
5398  [0.94148597653, 135.60077842954, 76.93032995021],
5399  [0.94148597653, 90.00000000000, 42.96329304615],
5400  [1.00000000000, 90.00000000000, 115.20176532942],
5401  [1.00000000000, 65.88818952781, 97.56099948825],
5402  [1.00000000000, 114.11181047220, 97.56099948825],
5403  [1.00000000000, 74.53787103493, 69.84962412329],
5404  [1.00000000000, 105.46212896507, 69.84962412329]
5405  ],
5406  [
5407  [2,4,3,1,0],
5408  [5,10,12,6,0],
5409  [1,5,0],
5410  [11,10,5],
5411  [7,13,11,5,1],
5412  [3,7,1],
5413  [15,13,7],
5414  [9,17,15,7,3],
5415  [4,9,3],
5416  [19,17,9],
5417  [8,18,19,9,4],
5418  [2,8,4],
5419  [16,18,8],
5420  [6,14,16,8,2],
5421  [0,6,2],
5422  [12,14,6],
5423  [36,38,39,37,35],
5424  [31,21,20,30,35],
5425  [37,31,35],
5426  [23,21,31],
5427  [33,25,23,31,37],
5428  [39,33,37],
5429  [27,25,33],
5430  [34,29,27,33,39],
5431  [38,34,39],
5432  [28,29,34],
5433  [32,26,28,34,38],
5434  [36,32,38],
5435  [24,26,32],
5436  [30,22,24,32,36],
5437  [35,30,36],
5438  [20,22,30],
5439  [19,28,17],
5440  [29,28,19],
5441  [18,29,19],
5442  [27,29,18],
5443  [16,27,18],
5444  [25,27,16],
5445  [14,25,16],
5446  [23,25,14],
5447  [12,23,14],
5448  [21,23,12],
5449  [10,21,12],
5450  [20,21,10],
5451  [11,20,10],
5452  [22,20,11],
5453  [13,22,11],
5454  [24,22,13],
5455  [15,24,13],
5456  [26,24,15],
5457  [17,26,15],
5458  [28,26,17]
5459  ],
5460  [
5461  [0,1],
5462  [0,2],
5463  [0,5],
5464  [0,6],
5465  [1,3],
5466  [1,5],
5467  [1,7],
5468  [2,4],
5469  [2,6],
5470  [2,8],
5471  [3,4],
5472  [3,7],
5473  [3,9],
5474  [4,8],
5475  [4,9],
5476  [5,10],
5477  [5,11],
5478  [6,12],
5479  [6,14],
5480  [7,13],
5481  [7,15],
5482  [8,16],
5483  [8,18],
5484  [9,17],
5485  [9,19],
5486  [10,11],
5487  [10,12],
5488  [10,20],
5489  [10,21],
5490  [11,13],
5491  [11,20],
5492  [11,22],
5493  [12,14],
5494  [12,21],
5495  [12,23],
5496  [13,15],
5497  [13,22],
5498  [13,24],
5499  [14,16],
5500  [14,23],
5501  [14,25],
5502  [15,17],
5503  [15,24],
5504  [15,26],
5505  [16,18],
5506  [16,25],
5507  [16,27],
5508  [17,19],
5509  [17,26],
5510  [17,28],
5511  [18,19],
5512  [18,27],
5513  [18,29],
5514  [19,28],
5515  [19,29],
5516  [20,21],
5517  [20,22],
5518  [20,30],
5519  [21,23],
5520  [21,31],
5521  [22,24],
5522  [22,30],
5523  [23,25],
5524  [23,31],
5525  [24,26],
5526  [24,32],
5527  [25,27],
5528  [25,33],
5529  [26,28],
5530  [26,32],
5531  [27,29],
5532  [27,33],
5533  [28,29],
5534  [28,34],
5535  [29,34],
5536  [30,35],
5537  [30,36],
5538  [31,35],
5539  [31,37],
5540  [32,36],
5541  [32,38],
5542  [33,37],
5543  [33,39],
5544  [34,38],
5545  [34,39],
5546  [35,36],
5547  [35,37],
5548  [36,38],
5549  [37,39],
5550  [38,39]
5551  ]
5552  ],
5553  [
5554  "gyroelongated_pentagonal_cupola",
5555  "gyroelongated pentagonal cupola",
5556  "J24",
5557  "johnson",
5558  "Polyhedron Database #68",
5559  [
5560  [-0.00000000000, -0.35911189524, 0.93329447736],
5561  [ 0.28840384708, 0.13832582951, 0.88761578021],
5562  [-0.28840385178, 0.13832653369, 0.88761580994],
5563  [ 0.54857671146, -0.35911189524, 0.75505106765],
5564  [-0.54857672984, -0.35911189524, 0.75505112419],
5565  [ 0.75505106047, 0.13832544914, 0.54857669736],
5566  [ 0.00000021769, 0.44157195567, 0.49066187278],
5567  [-0.75505110012, 0.13832681641, 0.54857677519],
5568  [ 0.88761574621, -0.35911189524, 0.28840381931],
5569  [ 0.46664743108, 0.44157149822, 0.15162278994],
5570  [-0.88761581268, -0.35911189524, 0.28840391080],
5571  [-0.46664703065, 0.44157223840, 0.15162283804],
5572  [ 0.93329441363, 0.13832533606, -0.00000003247],
5573  [-0.93329450983, 0.13832681641, 0.00000006373],
5574  [ 0.88761571648, -0.35911189524, -0.28840387955],
5575  [ 0.28840402137, 0.44157149822, -0.39695392153],
5576  [-0.88761584241, -0.35911189524, -0.28840378806],
5577  [-0.28840367749, 0.44157195567, -0.39695389180],
5578  [ 0.75505100392, 0.13832533606, -0.54857674393],
5579  [-0.75505115667, 0.13832653369, -0.54857666611],
5580  [ 0.54857663364, -0.35911189524, -0.75505109294],
5581  [-0.54857680766, -0.35911189524, -0.75505103639],
5582  [ 0.28840375558, 0.13832544914, -0.88761577868],
5583  [-0.28840394328, 0.13832570615, -0.88761574896],
5584  [-0.00000009620, -0.35911189524, -0.93329444610]
5585  ],
5586  [
5587  [0.99999996738, -89.99999999999, 21.04566520958],
5588  [0.94348957991, 25.62356242295, 19.81709963233],
5589  [0.94348971256, 154.37632420856, 19.81711666092],
5590  [0.99999993821, -33.20975101489, 40.97016377448],
5591  [0.99999999099, -146.79024986445, 40.97016231526],
5592  [0.94348949474, 10.38147358880, 54.44854706042],
5593  [0.66010216288, 89.99997175420, 41.98568152514],
5594  [0.94348977218, 169.61842656071, 54.44855329201],
5595  [0.99999991461, -22.02728871644, 73.23757940544],
5596  [0.66010202499, 43.41846480197, 76.72082576446],
5597  [1.00000000000, -157.97271277536, 73.23757540434],
5598  [0.66010224810, 136.58146270532, 76.72082604522],
5599  [0.94348945999, 8.43054311795, 90.00000197190],
5600  [0.94348977218, 171.56936881140, 89.99999612993],
5601  [0.99999990560, -22.02728938359, 106.76242435445],
5602  [0.66010202499, 56.85020284935, 126.96681600965],
5603  [0.99999999099, -157.97271344252, 106.76241740614],
5604  [0.66010216288, 123.14973869757, 126.96680377196],
5605  [0.94348945999, 10.38146604644, 125.55145792390],
5606  [0.94348971256, 169.61844807857, 125.55144115342],
5607  [0.99999991461, -33.20975473982, 139.02983999249],
5608  [0.99999996738, -146.79025358942, 139.02983156929],
5609  [0.94348949474, 25.62350807743, 160.18291444669],
5610  [0.94348956182, 154.37646495354, 160.18289781655],
5611  [0.99999993821, -90.00001534856, 158.95433414730]
5612  ],
5613  [
5614  [24,21,16,10,4,0,3,8,14,20],
5615  [5,3,1],
5616  [8,3,5],
5617  [12,8,5],
5618  [14,8,12],
5619  [18,14,12],
5620  [20,14,18],
5621  [22,20,18],
5622  [24,20,22],
5623  [23,24,22],
5624  [21,24,23],
5625  [6,11,17,15,9],
5626  [18,12,9,15],
5627  [22,18,15],
5628  [23,22,15,17],
5629  [19,23,17],
5630  [13,19,17,11],
5631  [7,13,11],
5632  [2,7,11,6],
5633  [1,2,6],
5634  [5,1,6,9],
5635  [12,5,9],
5636  [19,21,23],
5637  [19,16,21],
5638  [16,13,10],
5639  [16,19,13],
5640  [13,7,10],
5641  [4,10,7],
5642  [4,7,2],
5643  [4,2,0],
5644  [0,2,1],
5645  [0,1,3]
5646  ],
5647  [
5648  [0,1],
5649  [0,2],
5650  [0,3],
5651  [0,4],
5652  [1,2],
5653  [1,3],
5654  [1,5],
5655  [1,6],
5656  [2,4],
5657  [2,6],
5658  [2,7],
5659  [3,5],
5660  [3,8],
5661  [4,7],
5662  [4,10],
5663  [5,8],
5664  [5,9],
5665  [5,12],
5666  [6,9],
5667  [6,11],
5668  [7,10],
5669  [7,11],
5670  [7,13],
5671  [8,12],
5672  [8,14],
5673  [9,12],
5674  [9,15],
5675  [10,13],
5676  [10,16],
5677  [11,13],
5678  [11,17],
5679  [12,14],
5680  [12,18],
5681  [13,16],
5682  [13,19],
5683  [14,18],
5684  [14,20],
5685  [15,17],
5686  [15,18],
5687  [15,22],
5688  [16,19],
5689  [16,21],
5690  [17,19],
5691  [17,23],
5692  [18,20],
5693  [18,22],
5694  [19,21],
5695  [19,23],
5696  [20,22],
5697  [20,24],
5698  [21,23],
5699  [21,24],
5700  [22,23],
5701  [22,24],
5702  [23,24]
5703  ]
5704  ],
5705  [
5706  "gyroelongated_pentagonal_cupolarotunda",
5707  "Gyroelongated Pentagonal Cupolarotunda",
5708  "J47",
5709  "johnson",
5710  "Polyhedron Database #91",
5711  [
5712  [-0.86573509887, -0.41397609515, 0.28129438534],
5713  [-0.86573509887, -0.41397609516, -0.28129438534],
5714  [-0.38716850632, -0.70974651523, 0.28129438534],
5715  [-0.38716850632, -0.70974651523, -0.28129438534],
5716  [-0.53505371636, -0.41397609515, 0.73643826167],
5717  [-0.53505371636, -0.41397609516, -0.73643826167],
5718  [-0.91028775266, 0.07119877509, 0.00000000000],
5719  [ 0.14788521004, -0.70974651523, 0.45514387633],
5720  [ 0.14788521004, -0.70974651523, -0.45514387633],
5721  [-0.73643826167, 0.07119877509, 0.53505371636],
5722  [-0.73643826167, 0.07119877509, -0.53505371636],
5723  [ 0.00000000000, -0.41397609515, 0.91028775266],
5724  [ 0.00000000000, -0.41397609516, -0.91028775266],
5725  [ 0.47856659255, -0.70974651523, 0.00000000000],
5726  [-0.28129438534, 0.07119877509, 0.86573509887],
5727  [-0.28129438534, 0.07119877509, -0.86573509887],
5728  [ 0.53505371636, -0.41397609515, 0.73643826167],
5729  [-0.73643826167, 0.54976536764, 0.23928329628],
5730  [ 0.53505371636, -0.41397609516, -0.73643826167],
5731  [-0.45514387633, 0.54976536764, -0.62645180259],
5732  [ 0.86573509887, -0.41397609515, 0.28129438534],
5733  [ 0.86573509887, -0.41397609516, -0.28129438534],
5734  [ 0.28129438534, 0.07119877509, 0.86573509887],
5735  [ 0.28129438534, 0.07119877509, -0.86573509887],
5736  [-0.45514387633, 0.84553578772, -0.14788521004],
5737  [-0.00000000000, 0.54976536764, 0.77433701263],
5738  [ 0.73643826167, 0.07119877509, 0.53505371636],
5739  [-0.28129438534, 0.84553578772, 0.38716850632],
5740  [ 0.73643826167, 0.07119877509, -0.53505371636],
5741  [ 0.91028775266, 0.07119877509, 0.00000000000],
5742  [ 0.00000000000, 0.84553578772, -0.47856659255],
5743  [ 0.45514387633, 0.54976536764, -0.62645180259],
5744  [ 0.28129438534, 0.84553578772, 0.38716850632],
5745  [ 0.73643826167, 0.54976536764, 0.23928329628],
5746  [ 0.45514387633, 0.84553578772, -0.14788521004]
5747  ],
5748  [
5749  [1.00000000000, -154.44386591911, 73.66252713746],
5750  [1.00000000000, -154.44386591911, 106.33747286253],
5751  [0.85601758124, -118.61257768585, 70.81568013754],
5752  [0.85601758124, -118.61257768586, 109.18431986244],
5753  [1.00000000000, -142.27054237741, 42.57111254634],
5754  [1.00000000000, -142.27054237739, 137.42888745365],
5755  [0.91306793735, 175.52767694268, 89.99999999999],
5756  [0.85601758124, -78.23005903945, 57.87966398235],
5757  [0.85601758124, -78.23005903945, 122.12033601762],
5758  [0.91306793735, 174.47781257704, 54.12665023030],
5759  [0.91306793735, 174.47781257705, 125.87334976970],
5760  [1.00000000000, -89.99999999999, 24.45485285534],
5761  [1.00000000000, -89.99999999999, 155.54514714463],
5762  [0.85601758124, -56.00907131426, 89.99999999999],
5763  [0.91306793735, 165.79610391270, 18.52940937577],
5764  [0.91306793735, 165.79610391273, 161.47059062423],
5765  [1.00000000000, -37.72945762258, 42.57111254634],
5766  [0.94965244621, 143.25795096894, 75.40592200318],
5767  [1.00000000000, -37.72945762258, 137.42888745364],
5768  [0.94965244621, 129.62093236985, 131.27427433626],
5769  [1.00000000000, -25.55613408088, 73.66252713746],
5770  [1.00000000000, -25.55613408088, 106.33747286252],
5771  [0.91306793735, 14.20389608731, 18.52940937576],
5772  [0.91306793735, 14.20389608726, 161.47059062422],
5773  [0.97157436763, 118.29315785010, 98.75513298565],
5774  [0.94965244621, 89.99999999999, 35.37406747839],
5775  [0.91306793735, 5.52218742296, 54.12665023029],
5776  [0.97157436763, 108.40134622826, 66.51580975184],
5777  [0.91306793735, 5.52218742295, 125.87334976969],
5778  [0.91306793735, 4.47232305731, 89.99999999999],
5779  [0.97157436763, 89.99999999999, 119.50951909523],
5780  [0.94965244621, 50.37906763014, 131.27427433626],
5781  [0.97157436763, 71.59865377173, 66.51580975183],
5782  [0.94965244621, 36.74204903105, 75.40592200317],
5783  [0.97157436763, 61.70684214989, 98.75513298565]
5784  ],
5785  [
5786  [2,7,13,8,3],
5787  [12,5,3,8],
5788  [18,12,8],
5789  [21,18,8,13],
5790  [20,21,13],
5791  [16,20,13,7],
5792  [11,16,7],
5793  [4,11,7,2],
5794  [0,4,2],
5795  [1,0,2,3],
5796  [5,1,3],
5797  [34,32,27,24,30],
5798  [19,15,23,31,30],
5799  [24,19,30],
5800  [10,15,19],
5801  [17,6,10,19,24],
5802  [27,17,24],
5803  [9,6,17],
5804  [25,14,9,17,27],
5805  [32,25,27],
5806  [22,14,25],
5807  [33,26,22,25,32],
5808  [34,33,32],
5809  [29,26,33],
5810  [31,28,29,33,34],
5811  [30,31,34],
5812  [23,28,31],
5813  [11,22,16],
5814  [14,22,11],
5815  [4,14,11],
5816  [9,14,4],
5817  [0,9,4],
5818  [6,9,0],
5819  [1,6,0],
5820  [10,6,1],
5821  [5,10,1],
5822  [15,10,5],
5823  [12,15,5],
5824  [23,15,12],
5825  [18,23,12],
5826  [28,23,18],
5827  [21,28,18],
5828  [29,28,21],
5829  [20,29,21],
5830  [26,29,20],
5831  [16,26,20],
5832  [22,26,16]
5833  ],
5834  [
5835  [0,1],
5836  [0,2],
5837  [0,4],
5838  [0,6],
5839  [0,9],
5840  [1,3],
5841  [1,5],
5842  [1,6],
5843  [1,10],
5844  [2,3],
5845  [2,4],
5846  [2,7],
5847  [3,5],
5848  [3,8],
5849  [4,9],
5850  [4,11],
5851  [4,14],
5852  [5,10],
5853  [5,12],
5854  [5,15],
5855  [6,9],
5856  [6,10],
5857  [6,17],
5858  [7,11],
5859  [7,13],
5860  [7,16],
5861  [8,12],
5862  [8,13],
5863  [8,18],
5864  [9,14],
5865  [9,17],
5866  [10,15],
5867  [10,19],
5868  [11,14],
5869  [11,16],
5870  [11,22],
5871  [12,15],
5872  [12,18],
5873  [12,23],
5874  [13,20],
5875  [13,21],
5876  [14,22],
5877  [14,25],
5878  [15,19],
5879  [15,23],
5880  [16,20],
5881  [16,22],
5882  [16,26],
5883  [17,24],
5884  [17,27],
5885  [18,21],
5886  [18,23],
5887  [18,28],
5888  [19,24],
5889  [19,30],
5890  [20,21],
5891  [20,26],
5892  [20,29],
5893  [21,28],
5894  [21,29],
5895  [22,25],
5896  [22,26],
5897  [23,28],
5898  [23,31],
5899  [24,27],
5900  [24,30],
5901  [25,27],
5902  [25,32],
5903  [26,29],
5904  [26,33],
5905  [27,32],
5906  [28,29],
5907  [28,31],
5908  [29,33],
5909  [30,31],
5910  [30,34],
5911  [31,34],
5912  [32,33],
5913  [32,34],
5914  [33,34]
5915  ]
5916  ],
5917  [
5918  "gyroelongated_pentagonal_pyramid",
5919  "Gyroelongated Pentagonal Pyramid",
5920  "J11",
5921  "johnson",
5922  "Polyhedron Database #55",
5923  [
5924  [ 0.00000000000, -0.51552832530, -0.85687253767],
5925  [ 0.81493421058, -0.51552832530, -0.26478817615],
5926  [-0.81493421058, -0.51552832530, -0.26478817615],
5927  [ 0.50365704074, -0.51552832530, 0.69322444499],
5928  [-0.50365704074, -0.51552832530, 0.69322444499],
5929  [ 0.50365704074, 0.34134421237, -0.69322444499],
5930  [-0.50365704074, 0.34134421237, -0.69322444499],
5931  [ 0.81493421058, 0.34134421237, 0.26478817615],
5932  [-0.81493421058, 0.34134421237, 0.26478817615],
5933  [ 0.00000000000, 0.34134421237, 0.85687253767],
5934  [ 0.00000000000, 0.87092056467, 0.00000000000]
5935  ],
5936  [
5937  [1.00000000000, -89.99999999999, 148.96722447522],
5938  [1.00000000000, -32.31749266871, 105.35436657410],
5939  [1.00000000000, -147.68250733128, 105.35436657410],
5940  [1.00000000000, -45.66734057222, 46.11410324701],
5941  [1.00000000000, -134.33265942777, 46.11410324701],
5942  [0.92235915842, 34.12672786951, 138.72721633441],
5943  [0.92235915842, 145.87327213048, 138.72721633441],
5944  [0.92235915842, 22.72691217199, 73.31695413023],
5945  [0.92235915842, 157.27308782800, 73.31695413023],
5946  [0.92235915842, 89.99999999999, 21.72038634979],
5947  [0.87092056467, 89.99999999999, 89.99999999999]
5948  ],
5949  [
5950  [8,2,6],
5951  [4,2,8],
5952  [9,4,8],
5953  [3,4,9],
5954  [7,3,9],
5955  [1,3,7],
5956  [5,1,7],
5957  [0,1,5],
5958  [6,0,5],
5959  [2,0,6],
5960  [10,8,6],
5961  [10,9,8],
5962  [10,7,9],
5963  [10,5,7],
5964  [10,6,5],
5965  [0,2,4,3,1]
5966  ],
5967  [
5968  [0,1],
5969  [0,2],
5970  [0,5],
5971  [0,6],
5972  [1,3],
5973  [1,5],
5974  [1,7],
5975  [2,4],
5976  [2,6],
5977  [2,8],
5978  [3,4],
5979  [3,7],
5980  [3,9],
5981  [4,8],
5982  [4,9],
5983  [5,6],
5984  [5,7],
5985  [5,10],
5986  [6,8],
5987  [6,10],
5988  [7,9],
5989  [7,10],
5990  [8,9],
5991  [8,10],
5992  [9,10]
5993  ]
5994  ],
5995  [
5996  "gyroelongated_pentagonal_rotunda",
5997  "Gyroelongated Pentagonal Rotunda",
5998  "J25",
5999  "johnson",
6000  "George W. Hart, Jan 1996. george@li.net",
6001  [
6002  [-0.29571105920, -0.04950715860, -0.91010535520],
6003  [-0.47847076326, 0.45358744372, -0.65855873086],
6004  [-0.77418187852, -0.04950726104, -0.56247669378],
6005  [ 0.29571126590, -0.04950646364, -0.91010527582],
6006  [-0.56247521145, -0.55954789069, -0.77418141284],
6007  [ 0.00000052303, -0.55954789069, -0.95694079064],
6008  [-0.00000070745, 0.76451703904, -0.50309479482],
6009  [ 0.47847074268, 0.45358748593, -0.65855883072],
6010  [-0.47847121983, 0.76451663624, -0.15546523031],
6011  [-0.91010477465, -0.55954789069, -0.29571054106],
6012  [ 0.56247731086, -0.55954752935, -0.77418047213],
6013  [-0.95694093209, -0.04950663948, 0.00000000000],
6014  [ 0.77418175981, -0.04950606747, -0.56247538966],
6015  [ 0.47846978647, 0.76451743521, -0.15546490866],
6016  [-0.77418226189, 0.45358836722, 0.25154596352],
6017  [-0.29571189915, 0.76451766217, 0.40701080265],
6018  [-0.91010512479, -0.55954660028, 0.29571170910],
6019  [ 0.91010596067, -0.55954540107, -0.29570979682],
6020  [ 0.29571042595, 0.76451835713, 0.40701088203],
6021  [-0.77418242144, -0.04950619415, 0.56247611515],
6022  [ 0.95694108050, -0.04950504154, 0.00000064329],
6023  [ 0.77418137644, 0.45358956078, 0.25154726763],
6024  [-0.00000111921, 0.45358920714, 0.81402306114],
6025  [-0.56247597879, -0.55954686649, 0.77418252668],
6026  [ 0.91010530014, -0.55954544802, 0.29571211403],
6027  [-0.29571142443, -0.04950491702, 0.91010501602],
6028  [ 0.77418171999, -0.04950411962, 0.56247643398],
6029  [ 0.29571120761, -0.04950452243, 0.91010599849],
6030  [ 0.00000000246, -0.55954544802, 0.95694236361],
6031  [ 0.56247573694, -0.55954544802, 0.77418298581]
6032  ],
6033  [
6034  [0.95822113672, -170.49583498694, 161.76596488434],
6035  [0.93186664410, 136.52927210381, 134.96779368112],
6036  [0.95822157196, -176.34104063324, 125.94445346544],
6037  [0.95822108920, -9.50402750993, 161.76595833857],
6038  [1.10852562688, -135.14948243355, 134.29784580563],
6039  [1.10852583135, -89.99994644362, 149.68407561018],
6040  [0.91519980089, 90.00005301896, 123.34714343572],
6041  [0.93186672465, 43.47073178910, 134.96779741265],
6042  [0.91519934065, 122.04030938060, 99.78028089231],
6043  [1.10852571775, -148.41609246609, 105.47157038289],
6044  [1.10852585277, -44.85039214107, 134.29776647842],
6045  [0.95822067128, -177.03848495436, 89.99999999999],
6046  [0.95822064887, -3.65887195234, 125.94439716652],
6047  [0.91519920407, 57.95979473503, 99.78026193281],
6048  [0.93186691822, 149.63423908245, 74.33944346159],
6049  [0.91519974680, 111.14624003449, 63.59435249830],
6050  [1.10852566545, -148.41616125470, 74.52836622701],
6051  [1.10852523627, -31.58376047971, 105.47153735774],
6052  [0.91519988663, 68.85387352729, 63.59435129650],
6053  [0.95822161583, -176.34112182907, 54.05559117250],
6054  [0.95822073693, -2.96141916771, 89.99996153518],
6055  [0.93186711559, 30.36585526022, 74.33936358877],
6056  [0.93186732581, 90.00014137402, 29.12738751736],
6057  [1.10852627715, -135.14957395225, 45.70210655316],
6058  [1.10852533581, -31.58378117786, 74.52833979468],
6059  [0.95822081147, -170.49626898878, 18.23404089897],
6060  [0.95822112907, -3.65872857032, 54.05554652187],
6061  [0.95822165731, -9.50366348139, 18.23400667270],
6062  [1.10852595625, -89.99999974766, 30.31577436289],
6063  [1.10852575909, -44.85036574328, 45.70204726816]
6064  ],
6065  [
6066  [11,9,2],
6067  [16,9,11],
6068  [19,16,11],
6069  [23,16,19],
6070  [25,23,19],
6071  [28,23,25],
6072  [27,28,25],
6073  [29,28,27],
6074  [26,29,27],
6075  [24,29,26],
6076  [18,22,15],
6077  [27,25,22],
6078  [13,21,18],
6079  [20,26,21],
6080  [6,7,13],
6081  [3,12,7],
6082  [8,1,6],
6083  [2,0,1],
6084  [15,14,8],
6085  [19,11,14],
6086  [20,24,26],
6087  [17,24,20],
6088  [12,17,20],
6089  [10,17,12],
6090  [3,10,12],
6091  [5,10,3],
6092  [0,5,3],
6093  [4,5,0],
6094  [2,4,0],
6095  [9,4,2],
6096  [8,6,13,18,15],
6097  [22,25,19,14,15],
6098  [21,26,27,22,18],
6099  [7,12,20,21,13],
6100  [1,0,3,7,6],
6101  [14,11,2,1,8],
6102  [29,24,17,10,5,4,9,16,23,28]
6103  ],
6104  [
6105  [0,1],
6106  [0,2],
6107  [0,3],
6108  [0,4],
6109  [0,5],
6110  [1,2],
6111  [1,6],
6112  [1,8],
6113  [2,4],
6114  [2,9],
6115  [2,11],
6116  [3,5],
6117  [3,7],
6118  [3,10],
6119  [3,12],
6120  [4,5],
6121  [4,9],
6122  [5,10],
6123  [6,7],
6124  [6,8],
6125  [6,13],
6126  [7,12],
6127  [7,13],
6128  [8,14],
6129  [8,15],
6130  [9,11],
6131  [9,16],
6132  [10,12],
6133  [10,17],
6134  [11,14],
6135  [11,16],
6136  [11,19],
6137  [12,17],
6138  [12,20],
6139  [13,18],
6140  [13,21],
6141  [14,15],
6142  [14,19],
6143  [15,18],
6144  [15,22],
6145  [16,19],
6146  [16,23],
6147  [17,20],
6148  [17,24],
6149  [18,21],
6150  [18,22],
6151  [19,23],
6152  [19,25],
6153  [20,21],
6154  [20,24],
6155  [20,26],
6156  [21,26],
6157  [22,25],
6158  [22,27],
6159  [23,25],
6160  [23,28],
6161  [24,26],
6162  [24,29],
6163  [25,27],
6164  [25,28],
6165  [26,27],
6166  [26,29],
6167  [27,28],
6168  [27,29],
6169  [28,29]
6170  ]
6171  ],
6172  [
6173  "gyroelongated_square_bicupola",
6174  "Gyroelongated Square Bicupola",
6175  "J45",
6176  "johnson",
6177  "Polyhedron Database #89",
6178  [
6179  [-0.67164442276, -0.31270999145, 0.67164442276],
6180  [-0.94984865176, -0.31270999145, -0.00000000000],
6181  [-0.19672009688, -0.82676437751, 0.47492432588],
6182  [-0.87754572834, 0.31270999145, 0.36349134228],
6183  [-0.00000000000, -0.31270999145, 0.94984865176],
6184  [-0.47492432588, -0.82676437751, -0.19672009688],
6185  [-0.36349134228, 0.31270999145, 0.87754572834],
6186  [-0.87754572834, 0.31270999145, -0.36349134228],
6187  [-0.67164442276, -0.31270999145, -0.67164442276],
6188  [ 0.47492432588, -0.82676437751, 0.19672009688],
6189  [-0.36349134228, 0.82676437751, 0.36349134228],
6190  [ 0.36349134228, 0.31270999145, 0.87754572834],
6191  [ 0.67164442276, -0.31270999145, 0.67164442276],
6192  [ 0.19672009688, -0.82676437751, -0.47492432588],
6193  [-0.36349134228, 0.82676437751, -0.36349134228],
6194  [-0.36349134228, 0.31270999145, -0.87754572834],
6195  [ 0.00000000000, -0.31270999145, -0.94984865176],
6196  [ 0.36349134228, 0.82676437751, 0.36349134228],
6197  [ 0.94984865176, -0.31270999145, 0.00000000000],
6198  [ 0.87754572834, 0.31270999145, 0.36349134228],
6199  [ 0.67164442276, -0.31270999145, -0.67164442276],
6200  [ 0.36349134228, 0.82676437751, -0.36349134228],
6201  [ 0.36349134228, 0.31270999145, -0.87754572834],
6202  [ 0.87754572834, 0.31270999145, -0.36349134228]
6203  ],
6204  [
6205  [1.00000000000, -155.03384957251, 47.80589064815],
6206  [1.00000000000, -161.77737671141, 90.00000000000],
6207  [0.97354570912, -103.38406577317, 60.80197889730],
6208  [1.00000000000, 160.38667322856, 68.68523321432],
6209  [1.00000000000, -90.00000000001, 18.22262328858],
6210  [0.97354570912, -119.87466799726, 101.65777569438],
6211  [1.00000000000, 139.29473544052, 28.65229139610],
6212  [1.00000000000, 160.38667322856, 111.31476678568],
6213  [1.00000000000, -155.03384957250, 132.19410935183],
6214  [0.97354570912, -60.12533200274, 78.34222430560],
6215  [0.97354570912, 113.73294603803, 68.07648537032],
6216  [1.00000000000, 40.70526455949, 28.65229139609],
6217  [1.00000000000, -24.96615042748, 47.80589064815],
6218  [0.97354570912, -76.61593422683, 119.19802110269],
6219  [0.97354570912, 113.73294603803, 111.92351462968],
6220  [1.00000000000, 139.29473544050, 151.34770860390],
6221  [1.00000000000, -89.99999999999, 161.77737671141],
6222  [0.97354570912, 66.26705396195, 68.07648537032],
6223  [1.00000000000, -18.22262328858, 89.99999999999],
6224  [1.00000000000, 19.61332677142, 68.68523321431],
6225  [1.00000000000, -24.96615042748, 132.19410935183],
6226  [0.97354570912, 66.26705396195, 111.92351462967],
6227  [1.00000000000, 40.70526455946, 151.34770860389],
6228  [1.00000000000, 19.61332677142, 111.31476678567]
6229  ],
6230  [
6231  [2,9,13,5],
6232  [16,8,5,13],
6233  [20,16,13],
6234  [18,20,13,9],
6235  [12,18,9],
6236  [4,12,9,2],
6237  [0,4,2],
6238  [1,0,2,5],
6239  [8,1,5],
6240  [17,10,14,21],
6241  [15,22,21,14],
6242  [7,15,14],
6243  [3,7,14,10],
6244  [6,3,10],
6245  [11,6,10,17],
6246  [19,11,17],
6247  [23,19,17,21],
6248  [22,23,21],
6249  [4,11,12],
6250  [6,11,4],
6251  [0,6,4],
6252  [3,6,0],
6253  [1,3,0],
6254  [7,3,1],
6255  [8,7,1],
6256  [15,7,8],
6257  [16,15,8],
6258  [22,15,16],
6259  [20,22,16],
6260  [23,22,20],
6261  [18,23,20],
6262  [19,23,18],
6263  [12,19,18],
6264  [11,19,12]
6265  ],
6266  [
6267  [0,1],
6268  [0,2],
6269  [0,3],
6270  [0,4],
6271  [0,6],
6272  [1,3],
6273  [1,5],
6274  [1,7],
6275  [1,8],
6276  [2,4],
6277  [2,5],
6278  [2,9],
6279  [3,6],
6280  [3,7],
6281  [3,10],
6282  [4,6],
6283  [4,11],
6284  [4,12],
6285  [5,8],
6286  [5,13],
6287  [6,10],
6288  [6,11],
6289  [7,8],
6290  [7,14],
6291  [7,15],
6292  [8,15],
6293  [8,16],
6294  [9,12],
6295  [9,13],
6296  [9,18],
6297  [10,14],
6298  [10,17],
6299  [11,12],
6300  [11,17],
6301  [11,19],
6302  [12,18],
6303  [12,19],
6304  [13,16],
6305  [13,20],
6306  [14,15],
6307  [14,21],
6308  [15,16],
6309  [15,22],
6310  [16,20],
6311  [16,22],
6312  [17,19],
6313  [17,21],
6314  [18,19],
6315  [18,20],
6316  [18,23],
6317  [19,23],
6318  [20,22],
6319  [20,23],
6320  [21,22],
6321  [21,23],
6322  [22,23]
6323  ]
6324  ],
6325  [
6326  "gyroelongated_square_cupola",
6327  "Gyroelongated Square Cupola",
6328  "J23",
6329  "johnson",
6330  "George W. Hart, Jan 1996. george@li.net",
6331  [
6332  [-0.96831824071, -0.48735789808, -0.00000021782],
6333  [-0.89460886676, 0.15022236527, -0.37055936263],
6334  [-0.89460971347, 0.15022270720, 0.37055897703],
6335  [-0.68470429246, -0.48735861816, -0.68470365097],
6336  [-0.68470496770, -0.48735791416, 0.68470376160],
6337  [-0.37055870008, 0.15022287729, -0.89460872578],
6338  [-0.37055878003, 0.67427256429, -0.37055942621],
6339  [-0.37055962674, 0.67427290622, 0.37055891344],
6340  [-0.37055949289, 0.15022274465, 0.89460972991],
6341  [ 0.00000044250, -0.48735861593, -0.96831714338],
6342  [-0.00000000000, -0.48735834348, 0.96831813960],
6343  [ 0.37055989763, 0.15022262334, -0.89460821149],
6344  [ 0.37055981768, 0.67427231034, -0.37055891192],
6345  [ 0.37055897097, 0.67427265227, 0.37055942773],
6346  [ 0.37055911845, 0.15022321079, 0.89460955045],
6347  [ 0.68470442408, -0.48735832740, -0.68470348109],
6348  [ 0.68470373520, -0.48735834348, 0.68470462523],
6349  [ 0.89460914945, 0.15022268476, -0.37055889419],
6350  [ 0.89460930250, 0.15022302892, 0.37055946742],
6351  [ 0.96831769709, -0.48735834348, 0.00000049832]
6352  ],
6353  [
6354  [1.08404701748, -153.28373061952, 90.00001151235],
6355  [0.97990102804, 170.46784429609, 112.21975466419],
6356  [0.97990170765, 170.46783185384, 67.78028592334],
6357  [1.08404680732, -144.55751073826, 129.16960868243],
6358  [1.08404698719, -144.55757653316, 50.83039152070],
6359  [0.97990072727, 157.93258151997, 155.91745452484],
6360  [0.85397399771, 118.79179713591, 115.71681727051],
6361  [0.85397441259, 118.79184013101, 64.28323432190],
6362  [0.97990192348, 157.93264181446, 24.08255807837],
6363  [1.08404636002, -89.99994797752, 153.28367065477],
6364  [1.08404712741, -89.99999999999, 26.71629281115],
6365  [0.97990067168, 22.06732028695, 155.91738810322],
6366  [0.85397402430, 61.20812603511, 115.71677811230],
6367  [0.85397415069, 61.20819355785, 64.28318755987],
6368  [0.97990168950, 22.06744024340, 24.08255318471],
6369  [1.08404665244, -35.44246790965, 129.16960377050],
6370  [1.08404694722, -35.44249603594, 50.83033092297],
6371  [0.97990115796, 9.53217264748, 112.21972197428],
6372  [0.97990156721, 9.53219248419, 67.78025159509],
6373  [1.08404673214, -26.71630332593, 89.99997366202]
6374  ],
6375  [
6376  [2,0,1],
6377  [4,0,2],
6378  [8,4,2],
6379  [10,4,8],
6380  [14,10,8],
6381  [16,10,14],
6382  [18,16,14],
6383  [19,16,18],
6384  [18,14,13],
6385  [11,17,12],
6386  [1,5,6],
6387  [8,2,7],
6388  [17,19,18],
6389  [17,15,19],
6390  [11,15,17],
6391  [9,15,11],
6392  [5,9,11],
6393  [3,9,5],
6394  [1,3,5],
6395  [0,3,1],
6396  [6,12,13,7],
6397  [14,8,7,13],
6398  [17,18,13,12],
6399  [5,11,12,6],
6400  [2,1,6,7],
6401  [16,19,15,9,3,0,4,10]
6402  ],
6403  [
6404  [0,1],
6405  [0,2],
6406  [0,3],
6407  [0,4],
6408  [1,2],
6409  [1,3],
6410  [1,5],
6411  [1,6],
6412  [2,4],
6413  [2,7],
6414  [2,8],
6415  [3,5],
6416  [3,9],
6417  [4,8],
6418  [4,10],
6419  [5,6],
6420  [5,9],
6421  [5,11],
6422  [6,7],
6423  [6,12],
6424  [7,8],
6425  [7,13],
6426  [8,10],
6427  [8,14],
6428  [9,11],
6429  [9,15],
6430  [10,14],
6431  [10,16],
6432  [11,12],
6433  [11,15],
6434  [11,17],
6435  [12,13],
6436  [12,17],
6437  [13,14],
6438  [13,18],
6439  [14,16],
6440  [14,18],
6441  [15,17],
6442  [15,19],
6443  [16,18],
6444  [16,19],
6445  [17,18],
6446  [17,19],
6447  [18,19]
6448  ]
6449  ],
6450  [
6451  "gyroelongated_square_dipyramid",
6452  "Gyroelongated Square Dipyramid",
6453  "J17",
6454  "johnson",
6455  "Polyhedron Database #61",
6456  [
6457  [-0.44343735335, 0.37288488082, -0.44343735335],
6458  [ 0.00000000000, -0.37288488082, -0.62711511918],
6459  [-0.62711511918, -0.37288488082, 0.00000000000],
6460  [ 0.44343735335, 0.37288488082, -0.44343735335],
6461  [ 0.00000000000, 1.00000000000, 0.00000000000],
6462  [ 0.00000000000, -1.00000000000, 0.00000000000],
6463  [-0.44343735335, 0.37288488082, 0.44343735335],
6464  [ 0.62711511918, -0.37288488082, 0.00000000000],
6465  [-0.00000000000, -0.37288488082, 0.62711511918],
6466  [ 0.44343735335, 0.37288488082, 0.44343735335]
6467  ],
6468  [
6469  [0.72960023783, 139.93964097363, 127.42924609280],
6470  [0.72960023783, -89.99999999998, 149.26413289763],
6471  [0.72960023783, -149.26413289763, 89.99999999999],
6472  [0.72960023783, 40.06035902637, 127.42924609279],
6473  [1.00000000000, 89.99999999999, 89.99999999999],
6474  [1.00000000000, -89.99999999999, 89.99999999999],
6475  [0.72960023783, 139.93964097364, 52.57075390718],
6476  [0.72960023783, -30.73586710236, 89.99999999999],
6477  [0.72960023783, -90.00000000001, 30.73586710237],
6478  [0.72960023783, 40.06035902636, 52.57075390719]
6479  ],
6480  [
6481  [9,8,6],
6482  [7,8,9],
6483  [3,7,9],
6484  [1,7,3],
6485  [0,1,3],
6486  [2,1,0],
6487  [6,2,0],
6488  [8,2,6],
6489  [4,9,6],
6490  [4,3,9],
6491  [4,0,3],
6492  [4,6,0],
6493  [5,8,7],
6494  [5,7,1],
6495  [5,1,2],
6496  [5,2,8]
6497  ],
6498  [
6499  [0,1],
6500  [0,2],
6501  [0,3],
6502  [0,4],
6503  [0,6],
6504  [1,2],
6505  [1,3],
6506  [1,5],
6507  [1,7],
6508  [2,5],
6509  [2,6],
6510  [2,8],
6511  [3,4],
6512  [3,7],
6513  [3,9],
6514  [4,6],
6515  [4,9],
6516  [5,7],
6517  [5,8],
6518  [6,8],
6519  [6,9],
6520  [7,8],
6521  [7,9],
6522  [8,9]
6523  ]
6524  ],
6525  [
6526  "gyroelongated_square_pyramid",
6527  "Gyroelongated Square Pyramid",
6528  "J10",
6529  "johnson",
6530  "Polyhedron Database #54",
6531  [
6532  [-0.49886702252, 0.29449549093, 0.49886702252],
6533  [-0.70550450907, -0.54449549093, 0.00000000000],
6534  [ 0.00000000000, -0.54449549093, 0.70550450907],
6535  [-0.49886702252, 0.29449549093, -0.49886702252],
6536  [ 0.49886702252, 0.29449549093, 0.49886702252],
6537  [ 0.00000000000, 1.00000000000, -0.00000000000],
6538  [ 0.00000000000, -0.54449549093, -0.70550450907],
6539  [ 0.70550450907, -0.54449549093, 0.00000000000],
6540  [ 0.49886702252, 0.29449549093, -0.49886702252]
6541  ],
6542  [
6543  [0.76450258763, 149.44542958801, 49.26676609489],
6544  [0.89118570004, -142.33969611372, 89.99999999999],
6545  [0.89118570004, -89.99999999999, 37.66030388627],
6546  [0.76450258763, 149.44542958801, 130.73323390511],
6547  [0.76450258763, 30.55457041198, 49.26676609488],
6548  [1.00000000000, 89.99999999999, 89.99999999999],
6549  [0.89118570004, -89.99999999999, 142.33969611372],
6550  [0.89118570004, -37.66030388627, 89.99999999999],
6551  [0.76450258763, 30.55457041197, 130.73323390510]
6552  ],
6553  [
6554  [8,7,4],
6555  [6,7,8],
6556  [3,6,8],
6557  [1,6,3],
6558  [0,1,3],
6559  [2,1,0],
6560  [4,2,0],
6561  [7,2,4],
6562  [5,8,4],
6563  [5,3,8],
6564  [5,0,3],
6565  [5,4,0],
6566  [2,7,6,1]
6567  ],
6568  [
6569  [0,1],
6570  [0,2],
6571  [0,3],
6572  [0,4],
6573  [0,5],
6574  [1,2],
6575  [1,3],
6576  [1,6],
6577  [2,4],
6578  [2,7],
6579  [3,5],
6580  [3,6],
6581  [3,8],
6582  [4,5],
6583  [4,7],
6584  [4,8],
6585  [5,8],
6586  [6,7],
6587  [6,8],
6588  [7,8]
6589  ]
6590  ],
6591  [
6592  "gyroelongated_triangular_bicupola",
6593  "Gyroelongated Triangular Bicupola",
6594  "J44",
6595  "johnson",
6596  "Polyhedron Database #88",
6597  [
6598  [ 0.63134418058, -0.31187184274, 0.36450673261],
6599  [ 0.72901346521, 0.31187184274, 0.00000000000],
6600  [ 0.36450673261, 0.31187184274, 0.63134418058],
6601  [ 0.36450673261, 0.90710884454, 0.21044806019],
6602  [ 0.63134418058, -0.31187184274, -0.36450673261],
6603  [-0.00000000000, -0.31187184274, 0.72901346521],
6604  [ 0.42089612038, -0.90710884454, 0.00000000000],
6605  [ 0.36450673261, 0.31187184274, -0.63134418058],
6606  [-0.36450673261, 0.31187184274, 0.63134418058],
6607  [ 0.00000000000, 0.90710884454, -0.42089612038],
6608  [-0.36450673261, 0.90710884454, 0.21044806019],
6609  [-0.21044806019, -0.90710884454, 0.36450673261],
6610  [ 0.00000000000, -0.31187184274, -0.72901346521],
6611  [-0.63134418058, -0.31187184274, 0.36450673261],
6612  [-0.21044806019, -0.90710884454, -0.36450673261],
6613  [-0.36450673261, 0.31187184274, -0.63134418058],
6614  [-0.72901346521, 0.31187184274, 0.00000000000],
6615  [-0.63134418058, -0.31187184274, -0.36450673261]
6616  ],
6617  [
6618  [0.79292160947, -26.28848321387, 62.63219484138],
6619  [0.79292160947, 23.16123122604, 89.99999999999],
6620  [0.79292160947, 40.55028556009, 37.22886588831],
6621  [1.00000000000, 68.10808531986, 77.85138899884],
6622  [0.79292160947, -26.28848321387, 117.36780515862],
6623  [0.79292160947, -90.00000000001, 23.16123122605],
6624  [1.00000000000, -65.10882375298, 89.99999999999],
6625  [0.79292160947, 40.55028556008, 142.77113411168],
6626  [0.79292160947, 139.44971443989, 37.22886588831],
6627  [1.00000000000, 89.99999999999, 114.89117624701],
6628  [1.00000000000, 111.89191468012, 77.85138899885],
6629  [1.00000000000, -103.06147965387, 68.62277065625],
6630  [0.79292160947, -89.99999999999, 156.83876877394],
6631  [0.79292160947, -153.71151678613, 62.63219484138],
6632  [1.00000000000, -103.06147965386, 111.37722934374],
6633  [0.79292160947, 139.44971443989, 142.77113411168],
6634  [0.79292160947, 156.83876877394, 89.99999999999],
6635  [0.79292160947, -153.71151678613, 117.36780515861]
6636  ],
6637  [
6638  [6,14,11],
6639  [17,13,11,14],
6640  [12,17,14],
6641  [4,12,14,6],
6642  [0,4,6],
6643  [5,0,6,11],
6644  [13,5,11],
6645  [3,10,9],
6646  [16,15,9,10],
6647  [8,16,10],
6648  [2,8,10,3],
6649  [1,2,3],
6650  [7,1,3,9],
6651  [15,7,9],
6652  [0,1,4],
6653  [2,1,0],
6654  [5,2,0],
6655  [8,2,5],
6656  [13,8,5],
6657  [16,8,13],
6658  [17,16,13],
6659  [15,16,17],
6660  [12,15,17],
6661  [7,15,12],
6662  [4,7,12],
6663  [1,7,4]
6664  ],
6665  [
6666  [0,1],
6667  [0,2],
6668  [0,4],
6669  [0,5],
6670  [0,6],
6671  [1,2],
6672  [1,3],
6673  [1,4],
6674  [1,7],
6675  [2,3],
6676  [2,5],
6677  [2,8],
6678  [3,9],
6679  [3,10],
6680  [4,6],
6681  [4,7],
6682  [4,12],
6683  [5,8],
6684  [5,11],
6685  [5,13],
6686  [6,11],
6687  [6,14],
6688  [7,9],
6689  [7,12],
6690  [7,15],
6691  [8,10],
6692  [8,13],
6693  [8,16],
6694  [9,10],
6695  [9,15],
6696  [10,16],
6697  [11,13],
6698  [11,14],
6699  [12,14],
6700  [12,15],
6701  [12,17],
6702  [13,16],
6703  [13,17],
6704  [14,17],
6705  [15,16],
6706  [15,17],
6707  [16,17]
6708  ]
6709  ],
6710  [
6711  "gyroelongated_triangular_cupola",
6712  "Gyroelongated Triangular Cupola",
6713  "J22",
6714  "johnson",
6715  "George W. Hart, Jan 1996. george@li.net",
6716  [
6717  [ 0.44529327448, 0.15936283250, -0.77127203187],
6718  [ 0.00000000000, -0.60262393500, -0.89058831560],
6719  [-0.44529488243, 0.15936276366, -0.77127156307],
6720  [ 0.00000001693, 0.88652471041, -0.51418057464],
6721  [ 0.77127140657, -0.60262419314, -0.44529512992],
6722  [-0.77127165651, -0.60262393500, -0.44529357949],
6723  [ 0.89058817596, 0.15936218866, -0.00000065070],
6724  [ 0.44529397235, 0.88652380844, 0.25709061076],
6725  [-0.89058829362, 0.15936188358, 0.00000126041],
6726  [-0.44529434033, 0.88652357219, 0.25709205307],
6727  [ 0.77127238676, -0.60262514463, 0.44529286947],
6728  [-0.77127162239, -0.60262514463, 0.44529422414],
6729  [ 0.44529492054, 0.15936147598, 0.77127119927],
6730  [-0.44529339214, 0.15936123973, 0.77127264158],
6731  [ 0.00000073025, -0.60262514463, 0.89058760558]
6732  ],
6733  [
6734  [0.90473375080, 19.69141822539, 148.48299894819],
6735  [1.07531537463, -89.99999999999, 145.91542858827],
6736  [0.90473413042, 160.30865526287, 148.48290294884],
6737  [1.02484522027, 89.99999890563, 120.11355143916],
6738  [1.07531542046, -38.00188799203, 114.46306257809],
6739  [1.07531481302, -141.99813292322, 114.46298654369],
6740  [0.90473399756, 10.14515657681, 90.00004120826],
6741  [1.02484475257, 63.32997959913, 75.47170388511],
6742  [0.90473405964, 169.85486375403, 89.99992017945],
6743  [1.02484506991, 116.67004551587, 75.47162518425],
6744  [1.07531572067, -38.00189655466, 65.53707702127],
6745  [1.07531573340, -141.99807589644, 65.53699803049],
6746  [0.90473361224, 19.69119630759, 31.51708760770],
6747  [0.90473404792, 160.30876824950, 31.51695787360],
6748  [1.07531546449, -89.99993057001, 34.08464599345]
6749  ],
6750  [
6751  [2,1,0],
6752  [5,1,2],
6753  [8,5,2],
6754  [11,5,8],
6755  [13,11,8],
6756  [14,11,13],
6757  [7,9,3],
6758  [13,8,9],
6759  [6,12,7],
6760  [2,0,3],
6761  [12,14,13],
6762  [10,14,12],
6763  [6,10,12],
6764  [4,10,6],
6765  [0,4,6],
6766  [1,4,0],
6767  [8,2,3,9],
6768  [12,13,9,7],
6769  [0,6,7,3],
6770  [14,10,4,1,5,11]
6771  ],
6772  [
6773  [0,1],
6774  [0,2],
6775  [0,3],
6776  [0,4],
6777  [0,6],
6778  [1,2],
6779  [1,4],
6780  [1,5],
6781  [2,3],
6782  [2,5],
6783  [2,8],
6784  [3,7],
6785  [3,9],
6786  [4,6],
6787  [4,10],
6788  [5,8],
6789  [5,11],
6790  [6,7],
6791  [6,10],
6792  [6,12],
6793  [7,9],
6794  [7,12],
6795  [8,9],
6796  [8,11],
6797  [8,13],
6798  [9,13],
6799  [10,12],
6800  [10,14],
6801  [11,13],
6802  [11,14],
6803  [12,13],
6804  [12,14],
6805  [13,14]
6806  ]
6807  ],
6808  [
6809  "hebesphenomegacorona",
6810  "Hebesphenomegacorona",
6811  "J89",
6812  "johnson",
6813  "Polyhedron Database #133",
6814  [
6815  [-0.44436577553, 0.10865575777, -0.63708044509],
6816  [-0.97875627619, -0.20502719776, -0.00000041459],
6817  [-0.74267607355, 0.65177442800, 0.00000045420],
6818  [-0.44436577553, -0.75892996467, -0.44436619012],
6819  [ 0.00000000000, 0.85380143750, -0.44436110679],
6820  [ 0.44436577553, 0.10865575777, -0.63708044509],
6821  [ 0.44436577553, -0.75892996467, -0.44436619012],
6822  [-0.44436577553, -0.75892996467, 0.44436536094],
6823  [-0.44436577553, 0.10865575777, 0.63707961591],
6824  [ 0.00000000000, 0.85380092963, 0.44436434428],
6825  [ 0.74267607355, 0.65177442800, 0.00000045420],
6826  [ 0.97875627619, -0.20502719776, -0.00000041459],
6827  [ 0.44436577553, -0.75892996467, 0.44436536094],
6828  [ 0.44436577553, 0.10865575777, 0.63707961591]
6829  ],
6830  [
6831  [0.78430766264, 166.25971517264, 144.31967335649],
6832  [1.00000000000, -168.16890881610, 90.00002375411],
6833  [0.98811823949, 138.72972856946, 89.99997366353],
6834  [0.98534102962, -120.34966351979, 116.80638771671],
6835  [0.96251425336, 89.99999999999, 117.49473099885],
6836  [0.78430766264, 13.74028482734, 144.31967335649],
6837  [0.98534102962, -59.65033648019, 116.80638771670],
6838  [0.98534065568, -120.34966351979, 63.19365531690],
6839  [0.78430698911, 166.25971517264, 35.68036197375],
6840  [0.96251529749, 89.99999999999, 62.50508409268],
6841  [0.98811823949, 41.27027143053, 89.99997366353],
6842  [1.00000000000, -11.83109118388, 90.00002375411],
6843  [0.98534065568, -59.65033648019, 63.19365531690],
6844  [0.78430698911, 13.74028482736, 35.68036197374]
6845  ],
6846  [
6847  [13,12,7,8],
6848  [13,8,9],
6849  [2,8,1],
6850  [8,7,1],
6851  [10,11,13],
6852  [11,12,13],
6853  [9,8,2],
6854  [10,13,9],
6855  [7,12,6,3],
6856  [11,6,12],
6857  [1,7,3],
6858  [0,3,6,5],
6859  [0,5,4],
6860  [10,5,11],
6861  [5,6,11],
6862  [2,1,0],
6863  [1,3,0],
6864  [9,4,10],
6865  [4,5,10],
6866  [9,2,4],
6867  [2,0,4]
6868  ],
6869  [
6870  [0,1],
6871  [0,2],
6872  [0,3],
6873  [0,4],
6874  [0,5],
6875  [1,2],
6876  [1,3],
6877  [1,7],
6878  [1,8],
6879  [2,4],
6880  [2,8],
6881  [2,9],
6882  [3,6],
6883  [3,7],
6884  [4,5],
6885  [4,9],
6886  [4,10],
6887  [5,6],
6888  [5,10],
6889  [5,11],
6890  [6,11],
6891  [6,12],
6892  [7,8],
6893  [7,12],
6894  [8,9],
6895  [8,13],
6896  [9,10],
6897  [9,13],
6898  [10,11],
6899  [10,13],
6900  [11,12],
6901  [11,13],
6902  [12,13]
6903  ]
6904  ],
6905  [
6906  "metabiaugmented_dodecahedron",
6907  "Metabiaugmented Dodecahedron",
6908  "J60",
6909  "johnson",
6910  "Polyhedron Database #104",
6911  [
6912  [ 0.00000000000, 0.65452059129, 0.55759222022],
6913  [ 0.50581020974, 0.65452059129, 0.19009959174],
6914  [-0.50581020974, 0.65452059129, 0.19009959174],
6915  [ 0.31260790148, 0.65452059129, -0.40451597176],
6916  [-0.31260790148, 0.65452059129, -0.40451597176],
6917  [ 0.87181791589, 0.41667436589, -0.25751892036],
6918  [-0.00000000000, 0.12268026311, 0.88628761962],
6919  [-0.87181791589, 0.41667436589, -0.25751892036],
6920  [ 0.81841811122, 0.12268026311, 0.29167205613],
6921  [-0.81841811122, 0.12268026311, 0.29167205613],
6922  [ 0.50581020974, -0.20601513629, 0.72193991992],
6923  [ 0.50581020974, 0.12268026311, -0.67043613585],
6924  [-0.50581020974, -0.20601513629, 0.72193991992],
6925  [-0.50581020974, 0.12268026311, -0.67043613585],
6926  [ 0.81841811122, -0.20601513629, -0.24016827205],
6927  [-0.81841811122, -0.20601513629, -0.24016827205],
6928  [ 0.00000000000, -0.20601513629, -0.83478383555],
6929  [ 0.31260790148, -0.73785546447, 0.45601975583],
6930  [-0.31260790148, -0.73785546447, 0.45601975583],
6931  [ 0.50581020974, -0.73785546447, -0.13859580767],
6932  [-0.50581020974, -0.73785546447, -0.13859580767],
6933  [ 0.00000000000, -0.73785546447, -0.50608843614]
6934  ],
6935  [
6936  [0.85982922053, 89.99999999999, 49.57201179471],
6937  [0.84875145213, 52.30333159337, 77.05735458332],
6938  [0.84875145213, 127.69666840662, 77.05735458333],
6939  [0.83051434419, 64.47022703079, 119.14797310171],
6940  [0.83051434419, 115.52977296919, 119.14797310172],
6941  [1.00000000000, 25.54487872109, 104.92289443691],
6942  [0.89473805756, 90.00000000004, 7.88082507815],
6943  [1.00000000000, 154.45512127889, 104.92289443692],
6944  [0.87745725825, 8.52512014166, 70.58512496627],
6945  [0.87745725825, 171.47487985833, 70.58512496628],
6946  [0.90525325331, -22.16093532961, 37.10792400551],
6947  [0.84875145213, 13.63337181501, 142.17697794898],
6948  [0.90525325331, -157.83906467039, 37.10792400552],
6949  [0.84875145213, 166.36662818497, 142.17697794900],
6950  [0.87745725825, -14.12915047757, 105.88511571547],
6951  [0.87745725825, -165.87084952241, 105.88511571547],
6952  [0.85982922053, -89.99999999997, 166.13706297176],
6953  [0.92201323430, -67.03903927567, 60.35719392757],
6954  [0.92201323430, -112.96096072433, 60.35719392758],
6955  [0.90525325331, -55.56881898970, 98.80671736121],
6956  [0.90525325331, -124.43118101028, 98.80671736121],
6957  [0.89473805756, -89.99999999999, 124.44587625521]
6958  ],
6959  [
6960  [1,8,10,6,0],
6961  [17,10,8,14,19],
6962  [3,1,0,2,4],
6963  [2,0,6,12,9],
6964  [12,6,10,17,18],
6965  [18,20,15,9,12],
6966  [4,13,16,11,3],
6967  [11,16,21,19,14],
6968  [19,21,20,18,17],
6969  [16,13,15,20,21],
6970  [15,13,7],
6971  [9,15,7],
6972  [13,4,7],
6973  [4,2,7],
6974  [9,7,2],
6975  [8,1,5],
6976  [14,8,5],
6977  [1,3,5],
6978  [3,11,5],
6979  [14,5,11]
6980  ],
6981  [
6982  [0,1],
6983  [0,2],
6984  [0,6],
6985  [1,3],
6986  [1,5],
6987  [1,8],
6988  [2,4],
6989  [2,7],
6990  [2,9],
6991  [3,4],
6992  [3,5],
6993  [3,11],
6994  [4,7],
6995  [4,13],
6996  [5,8],
6997  [5,11],
6998  [5,14],
6999  [6,10],
7000  [6,12],
7001  [7,9],
7002  [7,13],
7003  [7,15],
7004  [8,10],
7005  [8,14],
7006  [9,12],
7007  [9,15],
7008  [10,17],
7009  [11,14],
7010  [11,16],
7011  [12,18],
7012  [13,15],
7013  [13,16],
7014  [14,19],
7015  [15,20],
7016  [16,21],
7017  [17,18],
7018  [17,19],
7019  [18,20],
7020  [19,21],
7021  [20,21]
7022  ]
7023  ],
7024  [
7025  "metabiaugmented_hexagonal_prism",
7026  "Metabiaugmented Hexagonal Prism",
7027  "J56",
7028  "johnson",
7029  "Polyhedron Database #100",
7030  [
7031  [-0.89625815953, 0.00000000000, -0.44353276257],
7032  [-0.32893287329, -0.32893287329, -0.49580632172],
7033  [-0.32893287329, 0.32893287329, -0.49580632172],
7034  [-0.65786574658, -0.32893287329, 0.07392212710],
7035  [-0.65786574658, 0.32893287329, 0.07392212710],
7036  [ 0.32893287329, -0.32893287329, -0.49580632172],
7037  [ 0.32893287329, 0.32893287329, -0.49580632172],
7038  [ 0.89625815953, 0.00000000000, -0.44353276257],
7039  [-0.32893287329, -0.32893287329, 0.64365057591],
7040  [-0.32893287329, 0.32893287329, 0.64365057591],
7041  [ 0.65786574658, -0.32893287329, 0.07392212710],
7042  [ 0.65786574658, 0.32893287329, 0.07392212710],
7043  [ 0.32893287329, -0.32893287329, 0.64365057591],
7044  [ 0.32893287329, 0.32893287329, 0.64365057591]
7045  ],
7046  [
7047  [1.00000000000, 179.99999999999, 116.32950349168],
7048  [0.67986585362, -134.99999999998, 136.82529826622],
7049  [0.67986585362, 134.99999999999, 136.82529826623],
7050  [0.73922165589, -153.43494882292, 84.26083252128],
7051  [0.73922165589, 153.43494882291, 84.26083252129],
7052  [0.67986585362, -45.00000000000, 136.82529826621],
7053  [0.67986585362, 45.00000000000, 136.82529826623],
7054  [1.00000000000, 0.00000000000, 116.32950349167],
7055  [0.79415347014, -135.00000000000, 35.85652010693],
7056  [0.79415347014, 134.99999999998, 35.85652010693],
7057  [0.73922165589, -26.56505117708, 84.26083252129],
7058  [0.73922165589, 26.56505117708, 84.26083252129],
7059  [0.79415347014, -44.99999999999, 35.85652010693],
7060  [0.79415347014, 44.99999999999, 35.85652010693]
7061  ],
7062  [
7063  [10,5,1,3,8,12],
7064  [11,13,9,4,2,6],
7065  [9,13,12,8],
7066  [4,9,8,3],
7067  [6,2,1,5],
7068  [13,11,10,12],
7069  [1,0,3],
7070  [0,4,3],
7071  [2,0,1],
7072  [4,0,2],
7073  [10,7,5],
7074  [7,6,5],
7075  [11,7,10],
7076  [6,7,11]
7077  ],
7078  [
7079  [0,1],
7080  [0,2],
7081  [0,3],
7082  [0,4],
7083  [1,2],
7084  [1,3],
7085  [1,5],
7086  [2,4],
7087  [2,6],
7088  [3,4],
7089  [3,8],
7090  [4,9],
7091  [5,6],
7092  [5,7],
7093  [5,10],
7094  [6,7],
7095  [6,11],
7096  [7,10],
7097  [7,11],
7098  [8,9],
7099  [8,12],
7100  [9,13],
7101  [10,11],
7102  [10,12],
7103  [11,13],
7104  [12,13]
7105  ]
7106  ],
7107  [
7108  "metabiaugmented_truncated_dodecahedron",
7109  "Metabiaugmented Truncated Dodecahedron",
7110  "J70",
7111  "johnson",
7112  "Polyhedron Database #114",
7113  [
7114  [-0.66818117088, 0.60033076150, 0.25439741143],
7115  [-0.66818117088, 0.43567601216, 0.52081439227],
7116  [-0.38805377963, 0.71947605740, 0.32803325390],
7117  [-0.38805377963, 0.55482130806, 0.59445023474],
7118  [-0.82477714317, 0.43567601216, 0.03886154634],
7119  [-0.82477714317, 0.16925903132, 0.46993327652],
7120  [-0.48483541301, 0.71947605740, 0.03017001414],
7121  [-0.48483541301, 0.28840432722, 0.72765872515],
7122  [-0.92155877655, 0.16925903132, 0.17207003676],
7123  [-0.13467617395, 0.71947605740, 0.51212286007],
7124  [-0.64143138531, 0.55482130806, -0.18536585095],
7125  [-0.64143138531, 0.02198734639, 0.67677760940],
7126  [-0.38805377963, 0.71947605740, -0.26769322561],
7127  [-0.79802735760, 0.28840432722, -0.23624696670],
7128  [-0.79802735760, -0.14266740295, 0.46124174432],
7129  [-0.38805377963, 0.02198734639, 0.86086721557],
7130  [ 0.17851577064, 0.71947605740, 0.51212286007],
7131  [-0.89480899098, 0.02198734639, -0.10303847628],
7132  [-0.89480899098, -0.14266740295, 0.16337850456],
7133  [-0.13467617395, 0.71947605740, -0.45178283178],
7134  [-0.79802735760, 0.02198734639, -0.40090171603],
7135  [-0.79802735760, -0.40908438379, 0.29658699498],
7136  [-0.13467617395, -0.14266740295, 0.94319459024],
7137  [ 0.43189337632, 0.71947605740, 0.32803325390],
7138  [ 0.43189337632, 0.55482130806, 0.59445023474],
7139  [ 0.17851577064, 0.71947605740, -0.45178283178],
7140  [ 0.17851577064, -0.14266740295, 0.94319459024],
7141  [ 0.52867500970, 0.71947605740, 0.03017001414],
7142  [ 0.52867500970, 0.28840432722, 0.72765872515],
7143  [ 0.02191979834, 0.55482130806, -0.66731869687],
7144  [ 0.43189337632, 0.71947605740, -0.26769322561],
7145  [-0.64143138531, -0.14266740295, -0.61643758112],
7146  [ 0.43189337632, 0.02198734639, 0.86086721557],
7147  [-0.64143138531, -0.67550136463, 0.24570587923],
7148  [ 0.02191979834, -0.40908438379, 0.89231347449],
7149  [ 0.44842565299, 0.60033076150, -0.55686493317],
7150  [ 0.02191979834, 0.28840432723, -0.83197344621],
7151  [ 0.68527098200, 0.55482130806, -0.18536585095],
7152  [-0.38805377963, -0.14266740295, -0.80052718729],
7153  [ 0.68527098199, 0.02198734639, 0.67677760940],
7154  [-0.38805377963, -0.84015611396, 0.32803325390],
7155  [ 0.02191979834, -0.67550136463, 0.72765872515],
7156  [ 0.29182968069, 0.43567601216, -0.77240079826],
7157  [-0.48483541301, -0.40908438379, -0.66731869687],
7158  [-0.48483541301, -0.84015611396, 0.03017001414],
7159  [-0.13467617395, 0.02198734639, -0.88285456196],
7160  [-0.13467617395, -0.84015611396, 0.51212286007],
7161  [ 0.70180325867, 0.43567601216, -0.47453755850],
7162  [-0.38805377963, -0.67550136463, -0.53411020645],
7163  [-0.38805377963, -0.84015611396, -0.26769322562],
7164  [ 0.17851577064, 0.02198734639, -0.88285456196],
7165  [ 0.84186695429, 0.28840432722, -0.23624696670],
7166  [ 0.84186695429, -0.14266740295, 0.46124174432],
7167  [ 0.17851577064, -0.84015611396, 0.51212286007],
7168  [ 0.44842565299, 0.16925903132, -0.82328191401],
7169  [ 0.70180325867, 0.16925903132, -0.63919230784],
7170  [ 0.93864858767, 0.02198734639, -0.10303847628],
7171  [ 0.93864858767, -0.14266740295, 0.16337850456],
7172  [-0.13467617395, -0.84015611396, -0.45178283178],
7173  [ 0.43189337632, -0.14266740295, -0.80052718729],
7174  [ 0.84186695429, 0.02198734639, -0.40090171603],
7175  [ 0.84186695429, -0.40908438379, 0.29658699498],
7176  [ 0.43189337632, -0.84015611396, 0.32803325390],
7177  [ 0.68527098199, -0.14266740295, -0.61643758112],
7178  [ 0.68527098199, -0.67550136463, 0.24570587923],
7179  [ 0.17851577064, -0.84015611396, -0.45178283178],
7180  [ 0.52867500970, -0.40908438379, -0.66731869687],
7181  [ 0.52867500970, -0.84015611396, 0.03017001414],
7182  [ 0.43189337632, -0.67550136463, -0.53411020645],
7183  [ 0.43189337632, -0.84015611396, -0.26769322562]
7184  ],
7185  [
7186  [0.93358510231, 138.06173000477, 74.18720315277],
7187  [0.95264227068, 146.89433256115, 56.85873829753],
7188  [0.88081629681, 118.34047371993, 68.13508204868],
7189  [0.90099028926, 124.96975685783, 48.71733832669],
7190  [0.93358510231, 152.15542564733, 87.61430842656],
7191  [0.96423194303, 168.40289318130, 60.83243712699],
7192  [0.86811370490, 123.97496206683, 88.00836845451],
7193  [0.92072235444, 149.25370372981, 37.78524082960],
7194  [0.95264227068, 169.59270165933, 79.59389312691],
7195  [0.89333828576, 100.60229971210, 55.02152324377],
7196  [0.86811370490, 139.14105502438, 102.32913315247],
7197  [0.93270874235, 178.03675170248, 43.48084621557],
7198  [0.86016928340, 118.34047371990, 108.13216183987],
7199  [0.88081629681, 160.13031954858, 105.55799709081],
7200  [0.93270874235, -169.86402107737, 60.36199416643],
7201  [0.94454303350, 176.75705620072, 24.29887970046],
7202  [0.90099028926, 76.06522828282, 55.36127348735],
7203  [0.90099028926, 178.59240496263, 96.56679074598],
7204  [0.92072235444, -170.94106941432, 79.77896790972],
7205  [0.86016928340, 100.60229971208, 121.68342424626],
7206  [0.89333828576, 178.42177901696, 116.66467330405],
7207  [0.94454303350, -152.85943813919, 71.69951390841],
7208  [0.96338346195, -133.34956679214, 11.75047499343],
7209  [0.90099028926, 59.02408059676, 68.64897626500],
7210  [0.92072235444, 52.10149359181, 49.78672561873],
7211  [0.86811370490, 76.06522828284, 121.36035872664],
7212  [0.97048333489, -38.63137793734, 13.61941034978],
7213  [0.89333828576, 53.69134721478, 88.06462649888],
7214  [0.94454303350, 28.61347820378, 39.61181698889],
7215  [0.86811370490, 87.73754344443, 140.23726129595],
7216  [0.88081629681, 59.02408059678, 107.69289557544],
7217  [0.90099028926, -167.46037423764, 133.17098241028],
7218  [0.96338346195, 2.91436628467, 26.67245590466],
7219  [0.96338346195, -133.51804832378, 75.22376410744],
7220  [0.98186243811, -86.93287717127, 24.66039123927],
7221  [0.93358510231, 53.24158127963, 126.61821699332],
7222  [0.88081629681, 85.65366439861, 160.82995871383],
7223  [0.90099028926, 38.99494026567, 101.87256851131],
7224  [0.90099028926, -159.81412256490, 152.68498654371],
7225  [0.96338346195, 1.83774031102, 45.37201414303],
7226  [0.98186243811, -114.79140976514, 70.48261384860],
7227  [0.99311116773, -88.14142286061, 42.88625198659],
7228  [0.93358510231, 56.18456363744, 145.82738215450],
7229  [0.92072235444, -139.84368945518, 136.45032811212],
7230  [0.97048333489, -119.98828863954, 88.21852372856],
7231  [0.89333828576, 170.72764701318, 171.21355734678],
7232  [0.99311116773, -99.10697923282, 58.95739897915],
7233  [0.95264227068, 31.83180698459, 119.87621057883],
7234  [0.94454303350, -119.87598020527, 124.43489540067],
7235  [0.96338346195, -114.79140976514, 106.13298839791],
7236  [0.90099028926, 7.02161557054, 168.48467373611],
7237  [0.92072235444, 18.91028488619, 104.86774444881],
7238  [0.97048333489, -9.61827819504, 61.62306013888],
7239  [1.00000000000, -78.00423628262, 59.19466387860],
7240  [0.95264227068, 20.67910013500, 149.79249260302],
7241  [0.96423194303, 13.55949803502, 131.52165445315],
7242  [0.94454303350, 1.34187791515, 96.26275556695],
7243  [0.96338346195, -8.64237406268, 80.23612074132],
7244  [0.96338346195, -99.10697923282, 117.96644026808],
7245  [0.92072235444, -18.27994669415, 150.39543571783],
7246  [0.93270874235, 1.49607467299, 115.45646702172],
7247  [0.98186243811, -25.91628579880, 72.41828196253],
7248  [1.00000000000, -62.79396984972, 70.85055459392],
7249  [0.93270874235, -11.76048501692, 131.36939717911],
7250  [0.99311116773, -44.58865402664, 75.67568330577],
7251  [0.97048333489, -78.00423628260, 117.74410953458],
7252  [0.94454303350, -37.73241017492, 134.95077255466],
7253  [0.99311116773, -57.81951398921, 88.25912693878],
7254  [0.96338346195, -57.40648803178, 123.67014249249],
7255  [0.98186243811, -62.79396984970, 105.82131670293]
7256  ],
7257  [
7258  [46,53,62,67,69,65,58,49,44,40],
7259  [53,46,41],
7260  [15,22,34,41,46,40,33,21,14,11],
7261  [34,22,26],
7262  [40,44,33],
7263  [17,18,21,33,44,49,48,43,31,20],
7264  [21,18,14],
7265  [49,58,48],
7266  [45,38,43,48,58,65,68,66,59,50],
7267  [43,38,31],
7268  [65,69,68],
7269  [60,63,66,68,69,67,64,61,57,56],
7270  [66,63,59],
7271  [67,62,64],
7272  [39,52,61,64,62,53,41,34,26,32],
7273  [61,52,57],
7274  [9,2,6,12,19,25,30,27,23,16],
7275  [2,9,3],
7276  [22,15,7,3,9,16,24,28,32,26],
7277  [7,15,11],
7278  [16,23,24],
7279  [52,39,28,24,23,27,37,51,56,57],
7280  [28,39,32],
7281  [27,30,37],
7282  [56,51,60],
7283  [25,19,29],
7284  [38,45,36,29,19,12,10,13,20,31],
7285  [36,45,50],
7286  [12,6,10],
7287  [20,13,17],
7288  [1,5,8,4,0],
7289  [10,6,0,4],
7290  [13,10,4],
7291  [17,13,4,8],
7292  [18,17,8],
7293  [14,18,8,5],
7294  [11,14,5],
7295  [7,11,5,1],
7296  [7,1,3],
7297  [2,3,1,0],
7298  [6,2,0],
7299  [42,54,55,47,35],
7300  [37,30,35,47],
7301  [51,37,47],
7302  [60,51,47,55],
7303  [63,60,55],
7304  [59,63,55,54],
7305  [50,59,54],
7306  [36,50,54,42],
7307  [36,42,29],
7308  [25,29,42,35],
7309  [30,25,35]
7310  ],
7311  [
7312  [0,1],
7313  [0,2],
7314  [0,4],
7315  [0,6],
7316  [1,3],
7317  [1,5],
7318  [1,7],
7319  [2,3],
7320  [2,6],
7321  [2,9],
7322  [3,7],
7323  [3,9],
7324  [4,8],
7325  [4,10],
7326  [4,13],
7327  [5,8],
7328  [5,11],
7329  [5,14],
7330  [6,10],
7331  [6,12],
7332  [7,11],
7333  [7,15],
7334  [8,17],
7335  [8,18],
7336  [9,16],
7337  [10,12],
7338  [10,13],
7339  [11,14],
7340  [11,15],
7341  [12,19],
7342  [13,17],
7343  [13,20],
7344  [14,18],
7345  [14,21],
7346  [15,22],
7347  [16,23],
7348  [16,24],
7349  [17,18],
7350  [17,20],
7351  [18,21],
7352  [19,25],
7353  [19,29],
7354  [20,31],
7355  [21,33],
7356  [22,26],
7357  [22,34],
7358  [23,24],
7359  [23,27],
7360  [24,28],
7361  [25,29],
7362  [25,30],
7363  [25,35],
7364  [26,32],
7365  [26,34],
7366  [27,30],
7367  [27,37],
7368  [28,32],
7369  [28,39],
7370  [29,36],
7371  [29,42],
7372  [30,35],
7373  [30,37],
7374  [31,38],
7375  [31,43],
7376  [32,39],
7377  [33,40],
7378  [33,44],
7379  [34,41],
7380  [35,42],
7381  [35,47],
7382  [36,42],
7383  [36,45],
7384  [36,50],
7385  [37,47],
7386  [37,51],
7387  [38,43],
7388  [38,45],
7389  [39,52],
7390  [40,44],
7391  [40,46],
7392  [41,46],
7393  [41,53],
7394  [42,54],
7395  [43,48],
7396  [44,49],
7397  [45,50],
7398  [46,53],
7399  [47,51],
7400  [47,55],
7401  [48,49],
7402  [48,58],
7403  [49,58],
7404  [50,54],
7405  [50,59],
7406  [51,56],
7407  [51,60],
7408  [52,57],
7409  [52,61],
7410  [53,62],
7411  [54,55],
7412  [54,59],
7413  [55,60],
7414  [55,63],
7415  [56,57],
7416  [56,60],
7417  [57,61],
7418  [58,65],
7419  [59,63],
7420  [59,66],
7421  [60,63],
7422  [61,64],
7423  [62,64],
7424  [62,67],
7425  [63,66],
7426  [64,67],
7427  [65,68],
7428  [65,69],
7429  [66,68],
7430  [67,69],
7431  [68,69]
7432  ]
7433  ],
7434  [
7435  "metabidiminished_icosahedron",
7436  "Metabidiminished Icosahedron",
7437  "J62",
7438  "johnson",
7439  "Polyhedron Database #106",
7440  [
7441  [ 0.04819488343, 0.35929506613, 0.75360576470],
7442  [ 0.53014371769, -0.46064526478, 0.59701109587],
7443  [ 0.82800447811, 0.35929506613, 0.18704093042],
7444  [-0.43375395084, -0.46064526478, 0.59701109587],
7445  [ 0.04819488343, 0.86604605937, -0.06633456621],
7446  [ 0.82800447811, -0.46064526478, -0.31971006283],
7447  [-0.73161471125, 0.35929506613, 0.18704093042],
7448  [-0.73161471125, -0.46064526478, -0.31971006283],
7449  [-0.43375395084, 0.35929506613, -0.72968022828],
7450  [ 0.04819488343, -0.46064526478, -0.88627489711]
7451  ],
7452  [
7453  [0.83626391762, 82.36010002814, 25.68932334532],
7454  [0.92177473927, -40.98758509987, 49.63341231685],
7455  [0.92177473927, 23.45741502350, 78.29259060583],
7456  [0.86991884588, -133.27784422807, 46.66335588017],
7457  [0.86991884588, 86.81481352879, 94.37326267714],
7458  [1.00000000000, -29.08858119332, 108.64539162511],
7459  [0.83626391762, 153.84440324035, 77.07575553197],
7460  [0.92177473927, -147.80432410417, 110.29427021590],
7461  [0.92177473927, 140.36374154976, 142.33562661115],
7462  [1.00000000000, -84.02717517055, 152.40882117487]
7463  ],
7464  [
7465  [5,9,7,3,1],
7466  [4,8,9,5,2],
7467  [0,3,6],
7468  [1,3,0],
7469  [2,5,1],
7470  [0,2,1],
7471  [0,4,2],
7472  [6,8,4],
7473  [0,6,4],
7474  [8,7,9],
7475  [8,6,7],
7476  [6,3,7]
7477  ],
7478  [
7479  [0,1],
7480  [0,2],
7481  [0,3],
7482  [0,4],
7483  [0,6],
7484  [1,2],
7485  [1,3],
7486  [1,5],
7487  [2,4],
7488  [2,5],
7489  [3,6],
7490  [3,7],
7491  [4,6],
7492  [4,8],
7493  [5,9],
7494  [6,7],
7495  [6,8],
7496  [7,8],
7497  [7,9],
7498  [8,9]
7499  ]
7500  ],
7501  [
7502  "metabidiminished_rhombicosidodecahedron",
7503  "Metabidiminished Rhombicosidodecahedron",
7504  "J81",
7505  "johnson",
7506  "Polyhedron Database #125",
7507  [
7508  [-0.79612575929, -0.32884175635, -0.08997483629],
7509  [-0.79612575929, 0.01981001981, -0.30545348419],
7510  [-0.79612575929, -0.11336310845, 0.25867693987],
7511  [-0.79612575929, 0.23528866771, 0.04319829197],
7512  [-0.66947058787, -0.32884175635, -0.47977937227],
7513  [-0.59119338708, -0.67749353251, -0.02338827216],
7514  [-0.66947058787, 0.23528866771, 0.43300282795],
7515  [-0.59119338708, -0.32884175635, 0.54074215190],
7516  [-0.59119338708, 0.23528866771, -0.58751869622],
7517  [-0.46453821566, -0.67749353251, -0.41319280814],
7518  [-0.46453821566, -0.67749353251, 0.36641626382],
7519  [-0.59119338708, 0.58394044387, -0.02338827216],
7520  [-0.46453821566, -0.11336310844, -0.76184458430],
7521  [-0.46453821566, 0.01981001981, 0.71506803998],
7522  [-0.46453821566, 0.58394044387, -0.41319280814],
7523  [-0.46453821566, 0.58394044387, 0.36641626382],
7524  [-0.25960584345, -0.32884175635, 0.78165460411],
7525  [-0.25960584345, 0.23528866771, -0.82843114843],
7526  [-0.13295067202, -0.67749353251, -0.65410526035],
7527  [-0.13295067202, -0.32884175635, -0.86958390825],
7528  [-0.13295067202, -0.67749353251, 0.60732871603],
7529  [-0.25960584345, 0.79941909177, 0.08435105179],
7530  [-0.13295067202, 0.58394044387, -0.65410526035],
7531  [-0.13295067202, 0.23528866771, 0.82280736393],
7532  [-0.13295067202, 0.79941909177, -0.30545348419],
7533  [-0.13295067202, 0.58394044387, 0.60732871603],
7534  [ 0.07198170019, 0.01981001981, -0.93617047238],
7535  [ 0.07198170019, -0.11336310845, 0.88939392806],
7536  [ 0.27691407240, -0.67749353251, -0.65410526035],
7537  [ 0.07198170019, 0.79941909177, 0.32526350400],
7538  [ 0.27691407240, -0.32884175635, -0.86958390825],
7539  [ 0.27691407240, -0.67749353251, 0.60732871603],
7540  [ 0.27691407240, 0.58394044387, -0.65410526035],
7541  [ 0.27691407240, 0.23528866771, 0.82280736393],
7542  [ 0.27691407240, 0.79941909177, -0.30545348419],
7543  [ 0.27691407240, 0.58394044387, 0.60732871603],
7544  [ 0.40356924382, -0.32884175635, 0.78165460411],
7545  [ 0.40356924382, 0.23528866771, -0.82843114843],
7546  [ 0.60850161603, -0.67749353251, -0.41319280814],
7547  [ 0.40356924382, 0.79941909177, 0.08435105179],
7548  [ 0.60850161603, -0.67749353251, 0.36641626382],
7549  [ 0.60850161603, -0.11336310844, -0.76184458430],
7550  [ 0.60850161603, 0.01981001981, 0.71506803998],
7551  [ 0.73515678745, -0.67749353251, -0.02338827216],
7552  [ 0.60850161603, 0.58394044387, 0.36641626382],
7553  [ 0.73515678745, -0.32884175635, 0.54074215190],
7554  [ 0.81343398824, -0.32884175635, -0.47977937227],
7555  [ 0.81343398824, 0.23528866771, 0.43300282795],
7556  [ 0.94008915966, -0.32884175635, -0.08997483629],
7557  [ 0.94008915966, -0.11336310845, 0.25867693987]
7558  ],
7559  [
7560  [0.86605346053, -157.55680376220, 95.96325455844],
7561  [0.85294225625, 178.57460163322, 110.98462555635],
7562  [0.84473734272, -171.89593457093, 72.16831812031],
7563  [0.83129000607, 163.53537227364, 87.02126201391],
7564  [0.88685738132, -153.83988066564, 122.75093479886],
7565  [0.89947435694, -131.10855239305, 91.48998170361],
7566  [0.83129000607, 160.63572888912, 58.60866178301],
7567  [0.86605346053, -150.91570823296, 51.36366929030],
7568  [0.86605346053, 158.29797152461, 132.71766157967],
7569  [0.91952245057, -124.43733388196, 116.70236456370],
7570  [0.89947435694, -124.43733388196, 65.96045265335],
7571  [0.83129000607, 135.35362589967, 91.61222452964],
7572  [0.89947435694, -166.28592578121, 147.88563501278],
7573  [0.85294225625, 177.55812719076, 33.03322781967],
7574  [0.85294225625, 128.50306555185, 118.97528718576],
7575  [0.83129000607, 128.50306555186, 63.84632162630],
7576  [0.88685738132, -128.28951171499, 28.19123079338],
7577  [0.89947435694, 137.81302751519, 157.07521199725],
7578  [0.95106627497, -101.10258355924, 133.45304725994],
7579  [0.93914267042, -112.01347609134, 157.80958253687],
7580  [0.91952245057, -101.10258355926, 48.66329961921],
7581  [0.84473734272, 107.99084811858, 84.26919253436],
7582  [0.88685738132, 102.82637014164, 137.52347354158],
7583  [0.86605346053, 119.46876936925, 18.18288150233],
7584  [0.86605346053, 99.44238786020, 110.65229588036],
7585  [0.85294225625, 102.82637014166, 44.59888890327],
7586  [0.93914267042, 15.38738952742, 175.44041496423],
7587  [0.89947435694, -57.58584792519, 8.58596617928],
7588  [0.98159695481, -67.76853747707, 131.78739646548],
7589  [0.86605346053, 84.85481947591, 67.94046716717],
7590  [0.97004869862, -49.89963289595, 153.69312390162],
7591  [0.95106627497, -67.76853747709, 50.31423441000],
7592  [0.91952245057, 64.62892993779, 135.34512433192],
7593  [0.89947435694, 40.35392897538, 23.82767074809],
7594  [0.89947435694, 70.89421531420, 109.85196349557],
7595  [0.88685738132, 64.62892993779, 46.77934117876],
7596  [0.93914267042, -39.17430281626, 33.66358843716],
7597  [0.95106627497, 30.24301168599, 150.58148371073],
7598  [1.00000000000, -48.07089785432, 114.40556045556],
7599  [0.89947435694, 63.21407138988, 84.61900031571],
7600  [0.98159695481, -48.07089785433, 68.08159189904],
7601  [0.98159695481, -10.55315342487, 140.90738566729],
7602  [0.93914267042, 1.86462905420, 40.41177254626],
7603  [1.00000000000, -42.66252981733, 91.34017148523],
7604  [0.91952245057, 43.82002439112, 66.51647291459],
7605  [0.97004869862, -24.09936572676, 56.12118676304],
7606  [1.00000000000, -22.01169124502, 118.67099346240],
7607  [0.95106627497, 16.13270043692, 62.91695564466],
7608  [1.00000000000, -19.27975923521, 95.16215944298],
7609  [0.98159695481, -6.87596095407, 74.72057657713]
7610  ],
7611  [
7612  [35,29,39,44],
7613  [25,29,35],
7614  [25,15,21,29],
7615  [29,21,24,34,39],
7616  [15,11,21],
7617  [6,3,11,15],
7618  [21,11,14,24],
7619  [14,22,24],
7620  [14,8,17,22],
7621  [11,3,1,8,14],
7622  [8,12,17],
7623  [1,4,12,8],
7624  [33,23,25,35],
7625  [27,23,33],
7626  [27,16,13,23],
7627  [23,13,6,15,25],
7628  [16,7,13],
7629  [20,10,7,16],
7630  [13,7,2,6],
7631  [2,3,6],
7632  [2,0,1,3],
7633  [7,10,5,0,2],
7634  [0,4,1],
7635  [5,9,4,0],
7636  [42,36,27,33],
7637  [45,36,42],
7638  [45,40,31,36],
7639  [36,31,20,16,27],
7640  [28,18,9,5,10,20,31,40,43,38],
7641  [47,49,45,42],
7642  [44,39,34,32,37,41,46,48,49,47],
7643  [49,48,43,40,45],
7644  [48,46,38,43],
7645  [46,41,30,28,38],
7646  [30,19,18,28],
7647  [24,22,32,34],
7648  [37,26,30,41],
7649  [32,22,17,26,37],
7650  [26,19,30],
7651  [17,12,19,26],
7652  [47,42,33,35,44],
7653  [12,4,9,18,19]
7654  ],
7655  [
7656  [0,1],
7657  [0,2],
7658  [0,4],
7659  [0,5],
7660  [1,3],
7661  [1,4],
7662  [1,8],
7663  [2,3],
7664  [2,6],
7665  [2,7],
7666  [3,6],
7667  [3,11],
7668  [4,9],
7669  [4,12],
7670  [5,9],
7671  [5,10],
7672  [6,13],
7673  [6,15],
7674  [7,10],
7675  [7,13],
7676  [7,16],
7677  [8,12],
7678  [8,14],
7679  [8,17],
7680  [9,18],
7681  [10,20],
7682  [11,14],
7683  [11,15],
7684  [11,21],
7685  [12,17],
7686  [12,19],
7687  [13,16],
7688  [13,23],
7689  [14,22],
7690  [14,24],
7691  [15,21],
7692  [15,25],
7693  [16,20],
7694  [16,27],
7695  [17,22],
7696  [17,26],
7697  [18,19],
7698  [18,28],
7699  [19,26],
7700  [19,30],
7701  [20,31],
7702  [21,24],
7703  [21,29],
7704  [22,24],
7705  [22,32],
7706  [23,25],
7707  [23,27],
7708  [23,33],
7709  [24,34],
7710  [25,29],
7711  [25,35],
7712  [26,30],
7713  [26,37],
7714  [27,33],
7715  [27,36],
7716  [28,30],
7717  [28,38],
7718  [29,35],
7719  [29,39],
7720  [30,41],
7721  [31,36],
7722  [31,40],
7723  [32,34],
7724  [32,37],
7725  [33,35],
7726  [33,42],
7727  [34,39],
7728  [35,44],
7729  [36,42],
7730  [36,45],
7731  [37,41],
7732  [38,43],
7733  [38,46],
7734  [39,44],
7735  [40,43],
7736  [40,45],
7737  [41,46],
7738  [42,45],
7739  [42,47],
7740  [43,48],
7741  [44,47],
7742  [45,49],
7743  [46,48],
7744  [47,49],
7745  [48,49]
7746  ]
7747  ],
7748  [
7749  "metabigyrate_rhombicosidodecahedron",
7750  "Metabigyrate Rhombicosidodecahedron",
7751  "J74",
7752  "johnson",
7753  "Polyhedron Database #118",
7754  [
7755  [-0.58622753083, -0.68915166553, 0.42591916311],
7756  [-0.72461706486, -0.68915163540, -0.00000001599],
7757  [-0.22391906247, -0.92459403303, 0.30819798579],
7758  [-0.36230859650, -0.92459400290, -0.11772119331],
7759  [-0.22391903382, -0.68915171427, 0.68915169005],
7760  [-0.58622753760, -0.68915163540, -0.42591919728],
7761  [-0.72461701850, -0.30819796126, 0.61639602565],
7762  [-0.94853598825, -0.30819791252, -0.07275568259],
7763  [ 0.22391886609, -0.92459408177, 0.30819798223],
7764  [-0.00000010366, -0.92459403303, -0.38095372601],
7765  [-0.94853595960, -0.07275559376, 0.30819802167],
7766  [-0.36230852149, -0.30819801001, 0.87962855259],
7767  [ 0.22391889474, -0.68915176302, 0.68915168650],
7768  [-0.81014646098, -0.30819791252, -0.49867486389],
7769  [-0.22391904476, -0.68915166553, -0.68915172998],
7770  [ 0.36230839335, -0.92459408177, -0.11772119906],
7771  [-0.58622744488, 0.07275571287, 0.80687288599],
7772  [-0.98678586534, 0.13783044817, -0.08518382070],
7773  [ 0.58622738757, -0.68915179314, 0.42591915380],
7774  [ 0.22391888379, -0.68915171427, -0.68915173354],
7775  [-0.81014638597, 0.30819808037, 0.49867488201],
7776  [-0.00000000000, -0.07275572138, 0.99734972415],
7777  [ 0.36230846836, -0.30819808888, 0.87962854684],
7778  [-0.84839633807, 0.13783044817, -0.51110300199],
7779  [-0.58622747353, -0.07275559376, -0.80687287142],
7780  [-0.22391900516, -0.30819796126, -0.92459404874],
7781  [ 0.72461691484, -0.68915179314, -0.00000002750],
7782  [ 0.58622738081, -0.68915176302, -0.42591920659],
7783  [-0.22391892339, 0.30819800150, 0.92459405755],
7784  [-0.84839629171, 0.51878412230, 0.10529303964],
7785  [ 0.72461696120, -0.30819811901, 0.61639601414],
7786  [ 0.22391892339, -0.30819801001, -0.92459405229],
7787  [-0.58622738081, 0.68915175451, 0.42591921185],
7788  [ 0.22391900516, 0.30819795276, 0.92459405400],
7789  [ 0.58622747353, 0.07275558526, 0.80687287668],
7790  [-0.62447733291, 0.51878412230, -0.58385867215],
7791  [-0.36230846836, 0.30819811564, -0.87962861212],
7792  [ 0.00000000000, 0.07275573467, -0.99734976249],
7793  [ 0.94853592001, -0.30819811901, -0.07275569766],
7794  [ 0.81014638597, -0.30819808888, -0.49867487675],
7795  [-0.22391888379, 0.68915170576, 0.68915173880],
7796  [-0.62447730425, 0.75422644106, -0.20290496789],
7797  [ 0.94853594866, -0.07275580025, 0.30819800661],
7798  [ 0.58622744488, -0.07275572138, -0.80687288073],
7799  [-0.36230839335, 0.92459407326, 0.11772120432],
7800  [ 0.22391904476, 0.68915165702, 0.68915173524],
7801  [ 0.81014646098, 0.30819790401, 0.49867486915],
7802  [-0.22391889474, 0.68915177631, -0.68915172484],
7803  [ 0.36230852149, 0.30819800150, -0.87962854733],
7804  [ 0.98678589399, 0.13783023336, -0.08518383637],
7805  [ 0.84839635996, 0.13783026348, -0.51110301547],
7806  [ 0.00000010366, 0.92459407326, 0.38095373126],
7807  [-0.22391886609, 0.92459407326, -0.30819797698],
7808  [ 0.58622753760, 0.68915162689, 0.42591920254],
7809  [ 0.22391903382, 0.68915170576, -0.68915168479],
7810  [ 0.84839640632, 0.51878393762, 0.10529302617],
7811  [ 0.62447743657, 0.51878398636, -0.58385868207],
7812  [ 0.36230859650, 0.92459407326, 0.11772119857],
7813  [ 0.22391906247, 0.92459407326, -0.30819798053],
7814  [ 0.62447746522, 0.75422630512, -0.20290497781]
7815  ],
7816  [
7817  [0.99999993475, -130.38618283979, 64.79114092254],
7818  [0.99999993363, -136.43700546014, 90.00000091615],
7819  [0.99999993544, -103.61382831907, 72.04933254486],
7820  [0.99999993432, -111.39807518933, 96.76060479242],
7821  [0.99999993544, -108.00000512538, 46.43700123757],
7822  [0.99999993251, -130.38618440217, 115.20886130219],
7823  [0.99999993363, -156.95872231601, 51.94656884902],
7824  [0.99999993182, -162.00000615475, 94.17228028590],
7825  [0.99999993544, -76.38618386711, 72.04933275902],
7826  [0.99999993363, -90.00000642377, 112.39277272314],
7827  [0.99999993182, -175.61382775587, 72.04933031666],
7828  [0.99999993432, -139.61382488750, 28.40240467772],
7829  [0.99999993544, -72.00000652430, 46.43700151874],
7830  [0.99999993070, -159.17206080316, 119.91237064150],
7831  [0.99999993182, -108.00000713941, 133.56300211723],
7832  [0.99999993432, -68.60193738376, 96.76060512438],
7833  [0.99999993251, 172.92529174846, 36.20847523865],
7834  [0.99999992989, 172.04858909635, 94.88659570141],
7835  [0.99999993475, -49.61382930662, 64.79114151209],
7836  [0.99999993182, -72.00000615624, 133.56300239840],
7837  [0.99999993070, 159.17204866998, 60.08762816051],
7838  [0.99999993363, -89.99999999999, 4.17228250656],
7839  [0.99999993432, -40.38618649494, 28.40240537076],
7840  [0.99999992877, 170.77234801598, 120.73733054171],
7841  [0.99999992889, -172.92530355529, 143.79152363199],
7842  [0.99999992958, -126.00000964425, 157.60723020326],
7843  [0.99999993363, -43.56300701251, 90.00000157545],
7844  [0.99999993251, -49.61382839675, 115.20886189174],
7845  [0.99999993182, 125.99999613716, 22.39276878253],
7846  [0.99999992877, 148.55471598604, 83.95594948326],
7847  [0.99999993363, -23.04128987788, 51.94656968630],
7848  [0.99999992958, -54.00000461496, 157.60723073807],
7849  [0.99999992889, 130.38617195233, 64.79113767754],
7850  [0.99999993182, 53.99998960361, 22.39276931734],
7851  [0.99999993251, 7.07469562579, 36.20847614159],
7852  [0.99999992696, 140.28191545237, 125.72240430111],
7853  [1.00000000000, 139.61381104942, 151.59759553449],
7854  [0.99999997284, 89.99999999999, 175.82771689372],
7855  [0.99999993182, -18.00000633842, 94.17228115124],
7856  [0.99999993070, -20.82795185563, 119.91237149191],
7857  [0.99999992958, 107.99999405161, 46.43699706381],
7858  [0.99999992696, 129.62375657846, 101.70688614750],
7859  [0.99999993182, -4.38618469425, 72.04933122387],
7860  [0.99999992889, -7.07470907043, 143.79152453494],
7861  [0.99999992708, 111.39806279532, 83.23939452301],
7862  [0.99999992958, 71.99999265270, 46.43699734497],
7863  [0.99999993070, 20.82793867121, 60.08762901093],
7864  [0.99999997103, 107.99999315092, 133.56299957391],
7865  [0.99999992708, 40.38617433191, 151.59759545680],
7866  [0.99999992989, 7.95139844173, 94.88659660254],
7867  [0.99999992877, 9.22763959809, 120.73733143981],
7868  [0.99999997284, 89.99999357622, 67.60722787656],
7869  [0.99999992596, 103.61381625349, 107.95066710038],
7870  [0.99999992889, 49.61381524873, 64.79113826708],
7871  [0.99999992596, 71.99999466673, 133.56299886360],
7872  [0.99999992877, 31.44527149101, 83.95595025951],
7873  [0.99999992696, 39.71807249309, 125.72240500098],
7874  [1.00000000000, 68.60192629184, 83.23939535028],
7875  [0.99999997103, 76.38617225133, 107.95066647798],
7876  [0.99999992696, 50.37623109408, 101.70688672776]
7877  ],
7878  [
7879  [31,25,14,19],
7880  [37,25,31],
7881  [37,36,24,25],
7882  [25,24,13,5,14],
7883  [24,23,13],
7884  [36,35,23,24],
7885  [13,23,17,7],
7886  [17,10,7],
7887  [17,29,20,10],
7888  [23,35,41,29,17],
7889  [29,32,20],
7890  [41,44,32,29],
7891  [43,48,37,31],
7892  [56,54,48],
7893  [56,59,58,54],
7894  [48,54,47,36,37],
7895  [59,57,58],
7896  [55,53,57,59],
7897  [54,58,52,47],
7898  [47,35,36],
7899  [47,52,41,35],
7900  [58,57,51,44,52],
7901  [52,44,41],
7902  [51,40,32,44],
7903  [43,50,56,48],
7904  [39,50,43],
7905  [39,38,49,50],
7906  [50,49,55,59,56],
7907  [38,42,49],
7908  [30,34,46,42],
7909  [49,42,46,55],
7910  [46,53,55],
7911  [53,45,51,57],
7912  [46,34,33,45,53],
7913  [45,40,51],
7914  [33,28,40,45],
7915  [27,26,38,39],
7916  [15,26,27],
7917  [15,8,18,26],
7918  [26,18,30,42,38],
7919  [8,12,18],
7920  [2,4,12,8],
7921  [18,12,22,30],
7922  [22,34,30],
7923  [22,21,33,34],
7924  [12,4,11,21,22],
7925  [21,28,33],
7926  [11,16,28,21],
7927  [19,9,15,27],
7928  [14,9,19],
7929  [14,5,3,9],
7930  [9,3,2,8,15],
7931  [5,1,3],
7932  [13,7,1,5],
7933  [3,1,0,2],
7934  [0,4,2],
7935  [0,6,11,4],
7936  [1,7,10,6,0],
7937  [6,16,11],
7938  [10,20,16,6],
7939  [27,39,43,31,19],
7940  [20,32,40,28,16]
7941  ],
7942  [
7943  [0,1],
7944  [0,2],
7945  [0,4],
7946  [0,6],
7947  [1,3],
7948  [1,5],
7949  [1,7],
7950  [2,3],
7951  [2,4],
7952  [2,8],
7953  [3,5],
7954  [3,9],
7955  [4,11],
7956  [4,12],
7957  [5,13],
7958  [5,14],
7959  [6,10],
7960  [6,11],
7961  [6,16],
7962  [7,10],
7963  [7,13],
7964  [7,17],
7965  [8,12],
7966  [8,15],
7967  [8,18],
7968  [9,14],
7969  [9,15],
7970  [9,19],
7971  [10,17],
7972  [10,20],
7973  [11,16],
7974  [11,21],
7975  [12,18],
7976  [12,22],
7977  [13,23],
7978  [13,24],
7979  [14,19],
7980  [14,25],
7981  [15,26],
7982  [15,27],
7983  [16,20],
7984  [16,28],
7985  [17,23],
7986  [17,29],
7987  [18,26],
7988  [18,30],
7989  [19,27],
7990  [19,31],
7991  [20,29],
7992  [20,32],
7993  [21,22],
7994  [21,28],
7995  [21,33],
7996  [22,30],
7997  [22,34],
7998  [23,24],
7999  [23,35],
8000  [24,25],
8001  [24,36],
8002  [25,31],
8003  [25,37],
8004  [26,27],
8005  [26,38],
8006  [27,39],
8007  [28,33],
8008  [28,40],
8009  [29,32],
8010  [29,41],
8011  [30,34],
8012  [30,42],
8013  [31,37],
8014  [31,43],
8015  [32,40],
8016  [32,44],
8017  [33,34],
8018  [33,45],
8019  [34,46],
8020  [35,36],
8021  [35,41],
8022  [35,47],
8023  [36,37],
8024  [36,47],
8025  [37,48],
8026  [38,39],
8027  [38,42],
8028  [38,49],
8029  [39,43],
8030  [39,50],
8031  [40,45],
8032  [40,51],
8033  [41,44],
8034  [41,52],
8035  [42,46],
8036  [42,49],
8037  [43,48],
8038  [43,50],
8039  [44,51],
8040  [44,52],
8041  [45,51],
8042  [45,53],
8043  [46,53],
8044  [46,55],
8045  [47,52],
8046  [47,54],
8047  [48,54],
8048  [48,56],
8049  [49,50],
8050  [49,55],
8051  [50,56],
8052  [51,57],
8053  [52,58],
8054  [53,55],
8055  [53,57],
8056  [54,56],
8057  [54,58],
8058  [55,59],
8059  [56,59],
8060  [57,58],
8061  [57,59],
8062  [58,59]
8063  ]
8064  ],
8065  [
8066  "metagyrate_diminished_rhombicosidodecahedron",
8067  "Metagyrate Diminished Rhombicosidodecahedron",
8068  "J78",
8069  "johnson",
8070  "Polyhedron Database #122",
8071  [
8072  [-0.55321297349, -0.01066203605, 0.76143233488],
8073  [-0.34190442063, -0.37016161865, 0.83009064569],
8074  [-0.21130855286, 0.21152092494, 0.87252381538],
8075  [ 0.00000000000, -0.14797865766, 0.94118212618],
8076  [-0.68380884127, -0.37016161865, 0.58168254359],
8077  [ 0.21130855286, 0.21152092494, 0.87252381538],
8078  [-0.76452152635, 0.21152092494, 0.47059106309],
8079  [-0.21130855286, 0.57102050754, 0.65034085439],
8080  [-0.21130855286, -0.72966120124, 0.65034085439],
8081  [ 0.34190442064, -0.37016161865, 0.83009064569],
8082  [-0.89511739413, -0.14797865766, 0.29084127179],
8083  [-0.55321297349, 0.57102050754, 0.40193275229],
8084  [-0.55321297349, -0.72966120124, 0.40193275229],
8085  [ 0.21130855286, 0.57102050754, 0.65034085439],
8086  [ 0.21130855286, -0.72966120124, 0.65034085439],
8087  [ 0.55321297349, -0.01066203605, 0.76143233488],
8088  [-0.89511739413, 0.21152092494, 0.06865831081],
8089  [-0.00000000000, 0.79320346853, 0.35949958260],
8090  [ 0.68380884127, -0.37016161864, 0.58168254359],
8091  [-0.89511739413, -0.37016161865, -0.06865831081],
8092  [-0.68380884127, 0.57102050754, 0.00000000000],
8093  [-0.68380884127, -0.72966120124, 0.00000000000],
8094  [-0.34190442064, 0.79320346853, 0.11109148049],
8095  [ 0.55321297349, 0.57102050754, 0.40193275229],
8096  [ 0.55321297349, -0.72966120124, 0.40193275229],
8097  [ 0.76452152635, 0.21152092494, 0.47059106309],
8098  [-0.89511739413, -0.01066203605, -0.29084127179],
8099  [ 0.34190442063, 0.79320346853, 0.11109148049],
8100  [ 0.89511739413, -0.14797865766, 0.29084127179],
8101  [-0.76452152635, -0.37016161865, -0.47059106309],
8102  [-0.55321297349, 0.57102050754, -0.40193275229],
8103  [-0.55321297349, -0.72966120124, -0.40193275229],
8104  [-0.21130855286, 0.79320346853, -0.29084127179],
8105  [ 0.80061733644, 0.41024740662, 0.09936324084],
8106  [ 0.68380884127, -0.72966120124, -0.00000000000],
8107  [-0.68380884127, 0.21152092494, -0.58168254359],
8108  [ 0.21130855286, 0.79320346853, -0.29084127179],
8109  [ 0.58930878359, 0.63243036761, -0.19147803095],
8110  [ 0.89511739413, -0.37016161864, -0.06865831081],
8111  [ 0.93121320422, 0.05074782403, -0.08038655046],
8112  [-0.55321297349, -0.14797865766, -0.76143233488],
8113  [-0.21130855286, 0.57102050754, -0.65034085439],
8114  [-0.21130855286, -0.72966120124, -0.65034085439],
8115  [ 0.55321297349, -0.72966120124, -0.40193275229],
8116  [-0.34190442064, 0.21152092494, -0.83009064569],
8117  [ 0.21130855286, 0.57102050754, -0.65034085439],
8118  [ 0.21130855286, -0.72966120124, -0.65034085439],
8119  [ 0.76452152635, -0.37016161864, -0.47059106309],
8120  [ 0.58930878359, 0.41024740662, -0.55097761355],
8121  [-0.21130855286, -0.37016161865, -0.87252381538],
8122  [ 0.80061733644, 0.05074782403, -0.48231930274],
8123  [-0.00000000000, -0.01066203605, -0.94118212618],
8124  [ 0.21130855286, -0.37016161865, -0.87252381538],
8125  [ 0.34190442064, 0.21152092494, -0.83009064569],
8126  [ 0.55321297349, -0.14797865766, -0.76143233488]
8127  ],
8128  [
8129  [0.94124251586, -178.89587902821, 36.00505936902],
8130  [0.97106577369, -132.72750132952, 31.25966748279],
8131  [0.92232869119, 134.97122238703, 18.91492540415],
8132  [0.95274418275, -89.99999999984, 8.93526016571],
8133  [0.97106577369, -151.57228676917, 53.20064626834],
8134  [0.92232869119, 45.02877761293, 18.91492540418],
8135  [0.92232869119, 164.53477767263, 59.32147762344],
8136  [0.89087538490, 110.30720654253, 43.11343435831],
8137  [1.00000000000, -106.15091992084, 49.43269423512],
8138  [0.97106577369, -47.27249867034, 31.25966748282],
8139  [0.95274418275, -170.61290105826, 72.22577748954],
8140  [0.89087538490, 134.09252726873, 63.18147713219],
8141  [1.00000000000, -127.16859907789, 66.30094011689],
8142  [0.89087538490, 69.69279345748, 43.11343435833],
8143  [1.00000000000, -73.84908007906, 49.43269423513],
8144  [0.94124251586, -1.10412097171, 36.00505936905],
8145  [0.92232869119, 166.70459888667, 85.73094312146],
8146  [0.87086835536, 90.00000000002, 65.61878155780],
8147  [0.97106577369, -28.42771323074, 53.20064626837],
8148  [0.97106577369, -157.53323421364, 94.05442815562],
8149  [0.89087538490, 140.13613772631, 89.99999999998],
8150  [1.00000000000, -133.14200112373, 89.99999999998],
8151  [0.87086835536, 113.31809665427, 82.67115026512],
8152  [0.89087538490, 45.90747273131, 63.18147713221],
8153  [1.00000000000, -52.83140092202, 66.30094011691],
8154  [0.92232869119, 15.46522232741, 59.32147762347],
8155  [0.94124251586, -179.31756350389, 107.99880557642],
8156  [0.87086835536, 66.68190334577, 82.67115026514],
8157  [0.95274418275, -9.38709894166, 72.22577748957],
8158  [0.97106577369, -154.16493060773, 118.98711799515],
8159  [0.89087538490, 134.09252726874, 116.81852286778],
8160  [1.00000000000, -127.16859907790, 113.69905988308],
8161  [0.87086835536, 104.91709431404, 109.50973258053],
8162  [0.90507685181, 27.13122995115, 83.69711765841],
8163  [1.00000000000, -46.85799887620, 90.00000000001],
8164  [0.92232869119, 162.81172019543, 129.09937175184],
8165  [0.87086835536, 75.08290568603, 109.50973258055],
8166  [0.88539078865, 47.02142951607, 102.48968584521],
8167  [0.97106577369, -22.46676578629, 94.05442815566],
8168  [0.93605308122, 3.11933165579, 94.92652648966],
8169  [0.95274418275, -165.02457730646, 143.05369410522],
8170  [0.89087538490, 110.30720654257, 136.88656564166],
8171  [1.00000000000, -106.15091992088, 130.56730576487],
8172  [1.00000000000, -52.83140092204, 113.69905988310],
8173  [0.92232869119, 148.25678032576, 154.15732953495],
8174  [0.89087538490, 69.69279345752, 136.88656564167],
8175  [1.00000000000, -73.84908007908, 130.56730576487],
8176  [0.97106577369, -25.83506939220, 118.98711799519],
8177  [0.90507685181, 34.84371247594, 127.50013851276],
8178  [0.97106577369, -119.72009459652, 153.96444613297],
8179  [0.93605308122, 3.62689051952, 121.01544898760],
8180  [0.94124251586, -90.00000000107, 179.35096139267],
8181  [0.97106577369, -60.27990540346, 153.96444613298],
8182  [0.92232869119, 31.74321967433, 154.15732953498],
8183  [0.95274418275, -14.97542269348, 143.05369410525]
8184  ],
8185  [
8186  [29,19,21,31],
8187  [26,19,29],
8188  [26,16,10,19],
8189  [19,10,4,12,21],
8190  [16,6,10],
8191  [20,11,6,16],
8192  [10,6,0,4],
8193  [0,1,4],
8194  [0,2,3,1],
8195  [6,11,7,2,0],
8196  [2,5,3],
8197  [7,13,5,2],
8198  [40,35,26,29],
8199  [44,35,40],
8200  [44,41,30,35],
8201  [35,30,20,16,26],
8202  [41,32,30],
8203  [45,36,32,41],
8204  [30,32,22,20],
8205  [22,11,20],
8206  [22,17,7,11],
8207  [32,36,27,17,22],
8208  [17,13,7],
8209  [27,23,13,17],
8210  [49,51,44,40],
8211  [52,51,49],
8212  [52,54,53,51],
8213  [51,53,45,41,44],
8214  [53,48,45],
8215  [54,50,48,53],
8216  [45,48,37,36],
8217  [37,27,36],
8218  [37,33,23,27],
8219  [48,50,39,33,37],
8220  [33,25,23],
8221  [39,28,25,33],
8222  [42,46,52,49],
8223  [31,21,12,8,14,24,34,43,46,42],
8224  [46,43,47,54,52],
8225  [43,34,38,47],
8226  [47,50,54],
8227  [47,38,39,50],
8228  [34,24,18,28,38],
8229  [38,28,39],
8230  [18,15,25,28],
8231  [4,1,8,12],
8232  [14,9,18,24],
8233  [8,1,3,9,14],
8234  [9,15,18],
8235  [3,5,15,9],
8236  [42,49,40,29,31],
8237  [5,13,23,25,15]
8238  ],
8239  [
8240  [0,1],
8241  [0,2],
8242  [0,4],
8243  [0,6],
8244  [1,3],
8245  [1,4],
8246  [1,8],
8247  [2,3],
8248  [2,5],
8249  [2,7],
8250  [3,5],
8251  [3,9],
8252  [4,10],
8253  [4,12],
8254  [5,13],
8255  [5,15],
8256  [6,10],
8257  [6,11],
8258  [6,16],
8259  [7,11],
8260  [7,13],
8261  [7,17],
8262  [8,12],
8263  [8,14],
8264  [9,14],
8265  [9,15],
8266  [9,18],
8267  [10,16],
8268  [10,19],
8269  [11,20],
8270  [11,22],
8271  [12,21],
8272  [13,17],
8273  [13,23],
8274  [14,24],
8275  [15,18],
8276  [15,25],
8277  [16,20],
8278  [16,26],
8279  [17,22],
8280  [17,27],
8281  [18,24],
8282  [18,28],
8283  [19,21],
8284  [19,26],
8285  [19,29],
8286  [20,22],
8287  [20,30],
8288  [21,31],
8289  [22,32],
8290  [23,25],
8291  [23,27],
8292  [23,33],
8293  [24,34],
8294  [25,28],
8295  [25,33],
8296  [26,29],
8297  [26,35],
8298  [27,36],
8299  [27,37],
8300  [28,38],
8301  [28,39],
8302  [29,31],
8303  [29,40],
8304  [30,32],
8305  [30,35],
8306  [30,41],
8307  [31,42],
8308  [32,36],
8309  [32,41],
8310  [33,37],
8311  [33,39],
8312  [34,38],
8313  [34,43],
8314  [35,40],
8315  [35,44],
8316  [36,37],
8317  [36,45],
8318  [37,48],
8319  [38,39],
8320  [38,47],
8321  [39,50],
8322  [40,44],
8323  [40,49],
8324  [41,44],
8325  [41,45],
8326  [42,46],
8327  [42,49],
8328  [43,46],
8329  [43,47],
8330  [44,51],
8331  [45,48],
8332  [45,53],
8333  [46,52],
8334  [47,50],
8335  [47,54],
8336  [48,50],
8337  [48,53],
8338  [49,51],
8339  [49,52],
8340  [50,54],
8341  [51,52],
8342  [51,53],
8343  [52,54],
8344  [53,54]
8345  ]
8346  ],
8347  [
8348  "parabiaugmented_dodecahedron",
8349  "Parabiaugmented Dodecahedron",
8350  "J59",
8351  "johnson",
8352  "Polyhedron Database #103",
8353  [
8354  [ 0.85065080835, 0.44721359550, -0.27639320225],
8355  [ 0.79854751227, 0.16035745659, 0.25946381511],
8356  [ 0.79854751227, -0.16035745659, -0.25946381511],
8357  [ 0.49352950421, 0.67928508682, 0.16035745659],
8358  [ 0.49352950421, -0.16035745659, 0.67928508682],
8359  [ 0.49352950421, 0.16035745659, -0.67928508682],
8360  [ 0.49352950421, -0.67928508682, -0.16035745659],
8361  [ 0.30501800805, 0.67928508682, -0.41982127170],
8362  [ 0.30501800805, -0.67928508682, 0.41982127170],
8363  [ 0.00000000000, 0.67928508682, 0.51892763023],
8364  [-0.00000000000, 0.16035745659, 0.83964254341],
8365  [ 0.00000000000, -0.16035745659, -0.83964254341],
8366  [ 0.00000000000, -0.67928508682, -0.51892763023],
8367  [-0.30501800805, 0.67928508682, -0.41982127170],
8368  [-0.30501800805, -0.67928508682, 0.41982127170],
8369  [-0.49352950421, 0.67928508682, 0.16035745659],
8370  [-0.49352950421, -0.16035745659, 0.67928508682],
8371  [-0.49352950421, 0.16035745659, -0.67928508682],
8372  [-0.49352950421, -0.67928508682, -0.16035745659],
8373  [-0.79854751227, 0.16035745659, 0.25946381511],
8374  [-0.79854751227, -0.16035745659, -0.25946381511],
8375  [-0.85065080835, -0.44721359550, 0.27639320225]
8376  ],
8377  [
8378  [1.00000000000, 27.73230144770, 106.04505713532],
8379  [0.85481817633, 11.35462809222, 72.33019289294],
8380  [0.85481817633, -11.35462809223, 107.66980710704],
8381  [0.85481817633, 53.99999999999, 79.18768303642],
8382  [0.85481817633, -18.00000000000, 37.37736814064],
8383  [0.85481817633, 17.99999999999, 142.62263185933],
8384  [0.85481817633, -53.99999999999, 100.81231696356],
8385  [0.85481817633, 65.81858573661, 119.41445098643],
8386  [0.85481817633, -65.81858573663, 60.58554901355],
8387  [0.85481817633, 89.99999999999, 52.62263185935],
8388  [0.85481817633, 90.00000000003, 10.81231696358],
8389  [0.85481817633, -89.99999999996, 169.18768303641],
8390  [0.85481817633, -89.99999999999, 127.37736814064],
8391  [0.85481817633, 114.18141426336, 119.41445098644],
8392  [0.85481817633, -114.18141426338, 60.58554901356],
8393  [0.85481817633, 126.00000000000, 79.18768303643],
8394  [0.85481817633, -162.00000000000, 37.37736814065],
8395  [0.85481817633, 161.99999999999, 142.62263185935],
8396  [0.85481817633, -125.99999999999, 100.81231696357],
8397  [0.85481817633, 168.64537190776, 72.33019289295],
8398  [0.85481817633, -168.64537190776, 107.66980710705],
8399  [1.00000000000, -152.26769855229, 73.95494286467]
8400  ],
8401  [
8402  [12,18,14,8,6],
8403  [20,18,12,11,17],
8404  [11,12,6,2,5],
8405  [2,6,8,4,1],
8406  [4,8,14,16,10],
8407  [10,9,3,1,4],
8408  [5,7,13,17,11],
8409  [17,13,15,19,20],
8410  [19,15,9,10,16],
8411  [13,7,3,9,15],
8412  [3,7,0],
8413  [1,3,0],
8414  [7,5,0],
8415  [5,2,0],
8416  [1,0,2],
8417  [14,18,21],
8418  [16,14,21],
8419  [18,20,21],
8420  [20,19,21],
8421  [16,21,19]
8422  ],
8423  [
8424  [0,1],
8425  [0,2],
8426  [0,3],
8427  [0,5],
8428  [0,7],
8429  [1,2],
8430  [1,3],
8431  [1,4],
8432  [2,5],
8433  [2,6],
8434  [3,7],
8435  [3,9],
8436  [4,8],
8437  [4,10],
8438  [5,7],
8439  [5,11],
8440  [6,8],
8441  [6,12],
8442  [7,13],
8443  [8,14],
8444  [9,10],
8445  [9,15],
8446  [10,16],
8447  [11,12],
8448  [11,17],
8449  [12,18],
8450  [13,15],
8451  [13,17],
8452  [14,16],
8453  [14,18],
8454  [14,21],
8455  [15,19],
8456  [16,19],
8457  [16,21],
8458  [17,20],
8459  [18,20],
8460  [18,21],
8461  [19,20],
8462  [19,21],
8463  [20,21]
8464  ]
8465  ],
8466  [
8467  "parabiaugmented_hexagonal_prism",
8468  "Parabiaugmented Hexagonal Prism",
8469  "J55",
8470  "johnson",
8471  "Polyhedron Database #99",
8472  [
8473  [-0.86602540378, 0.00000000000, 0.50000000000],
8474  [-0.31783724520, 0.31783724520, 0.55051025722],
8475  [-0.63567449039, 0.31783724520, -0.00000000000],
8476  [-0.31783724520, -0.31783724520, 0.55051025722],
8477  [ 0.31783724520, 0.31783724520, 0.55051025722],
8478  [-0.63567449039, -0.31783724520, -0.00000000000],
8479  [ 0.31783724520, -0.31783724520, 0.55051025722],
8480  [-0.31783724520, 0.31783724520, -0.55051025722],
8481  [ 0.63567449039, 0.31783724520, 0.00000000000],
8482  [-0.31783724520, -0.31783724520, -0.55051025722],
8483  [ 0.31783724520, 0.31783724520, -0.55051025722],
8484  [ 0.63567449039, -0.31783724520, 0.00000000000],
8485  [ 0.31783724520, -0.31783724520, -0.55051025722],
8486  [ 0.86602540378, 0.00000000000, -0.50000000000]
8487  ],
8488  [
8489  [1.00000000000, 179.99999999999, 59.99999999999],
8490  [0.71070568604, 134.99999999999, 39.23152048359],
8491  [0.71070568604, 153.43494882292, 90.00000000000],
8492  [0.71070568604, -135.00000000000, 39.23152048358],
8493  [0.71070568604, 45.00000000000, 39.23152048359],
8494  [0.71070568604, -153.43494882291, 89.99999999999],
8495  [0.71070568604, -44.99999999999, 39.23152048358],
8496  [0.71070568604, 135.00000000000, 140.76847951641],
8497  [0.71070568604, 26.56505117708, 89.99999999999],
8498  [0.71070568604, -134.99999999999, 140.76847951640],
8499  [0.71070568604, 44.99999999999, 140.76847951641],
8500  [0.71070568604, -26.56505117707, 89.99999999999],
8501  [0.71070568604, -45.00000000001, 140.76847951639],
8502  [1.00000000000, 0.00000000000, 119.99999999999]
8503  ],
8504  [
8505  [3,6,11,12,9,5],
8506  [1,2,7,10,8,4],
8507  [7,2,5,9],
8508  [10,7,9,12],
8509  [4,8,11,6],
8510  [1,4,6,3],
8511  [11,13,12],
8512  [13,10,12],
8513  [8,13,11],
8514  [10,13,8],
8515  [5,0,3],
8516  [0,1,3],
8517  [2,0,5],
8518  [1,0,2]
8519  ],
8520  [
8521  [0,1],
8522  [0,2],
8523  [0,3],
8524  [0,5],
8525  [1,2],
8526  [1,3],
8527  [1,4],
8528  [2,5],
8529  [2,7],
8530  [3,5],
8531  [3,6],
8532  [4,6],
8533  [4,8],
8534  [5,9],
8535  [6,11],
8536  [7,9],
8537  [7,10],
8538  [8,10],
8539  [8,11],
8540  [8,13],
8541  [9,12],
8542  [10,12],
8543  [10,13],
8544  [11,12],
8545  [11,13],
8546  [12,13]
8547  ]
8548  ],
8549  [
8550  "parabiaugmented_truncated_dodecahedron",
8551  "Parabiaugmented Truncated Dodecahedron",
8552  "J69",
8553  "johnson",
8554  "Polyhedron Database #113",
8555  [
8556  [-0.41777457947, -0.08389390482, -0.84650375692],
8557  [-0.51639777949, -0.35538028373, -0.71076056747],
8558  [-0.15957568972, 0.08389390482, -0.93039766175],
8559  [-0.67597346922, -0.08389390482, -0.65891128284],
8560  [-0.41777457947, -0.62686666264, -0.57501737801],
8561  [ 0.15957568972, 0.08389390482, -0.93039766175],
8562  [-0.00000000000, 0.35538028373, -0.87854837712],
8563  [-0.83554915894, 0.08389390482, -0.43927418856],
8564  [-0.15957568972, -0.79465447229, -0.49112347319],
8565  [ 0.41777457947, -0.08389390482, -0.84650375692],
8566  [ 0.43462143328, 0.23396788409, -0.86969146193],
8567  [ 0.27504574356, 0.50545426300, -0.81784217730],
8568  [-0.41777457947, -0.79465447229, -0.30353099910],
8569  [-0.00000000000, 0.62686666264, -0.71076056747],
8570  [-0.83554915894, 0.35538028373, -0.27148637891],
8571  [ 0.15957568972, -0.79465447229, -0.49112347319],
8572  [ 0.51639777949, -0.35538028373, -0.71076056747],
8573  [-0.93417235896, 0.08389390482, -0.13574318945],
8574  [ 0.41777457947, -0.62686666264, -0.57501737801],
8575  [-0.15957568972, 0.79465447229, -0.49112347319],
8576  [-0.67597346922, 0.62686666264, -0.21963709428],
8577  [ 0.67597346922, -0.08389390482, -0.65891128284],
8578  [ 0.69282032303, 0.23396788409, -0.68209898784],
8579  [-0.51639777949, -0.79465447229, 0.00000000000],
8580  [-0.41777457947, 0.79465447229, -0.30353099910],
8581  [ 0.43462143328, 0.67324207265, -0.59820508302],
8582  [ 0.15957568972, 0.79465447229, -0.49112347319],
8583  [-0.93417235896, -0.08389390482, 0.13574318945],
8584  [ 0.41777457947, -0.79465447229, -0.30353099910],
8585  [-0.67597346922, -0.62686666264, 0.21963709428],
8586  [ 0.69282032303, 0.50545426300, -0.51431117819],
8587  [-0.83554915894, -0.35538028373, 0.27148637891],
8588  [-0.51639777949, 0.79465447229, 0.00000000000],
8589  [ 0.83554915894, 0.08389390482, -0.43927418856],
8590  [-0.41777457947, -0.79465447229, 0.30353099910],
8591  [ 0.41777457947, 0.79465447229, -0.30353099910],
8592  [-0.83554915894, -0.08389390482, 0.43927418856],
8593  [ 0.51639777949, -0.79465447229, -0.00000000000],
8594  [ 0.83554915894, 0.35538028373, -0.27148637891],
8595  [-0.69282032303, -0.50545426300, 0.51431117819],
8596  [ 0.67597346922, 0.62686666264, -0.21963709428],
8597  [-0.41777457947, 0.79465447229, 0.30353099910],
8598  [ 0.93417235896, 0.08389390482, -0.13574318945],
8599  [-0.15957568972, -0.79465447229, 0.49112347319],
8600  [-0.43462143328, -0.67324207265, 0.59820508302],
8601  [ 0.41777457947, -0.79465447229, 0.30353099910],
8602  [ 0.51639777949, 0.79465447229, -0.00000000000],
8603  [-0.69282032303, -0.23396788409, 0.68209898784],
8604  [-0.67597346922, 0.08389390482, 0.65891128284],
8605  [ 0.67597346922, -0.62686666264, 0.21963709428],
8606  [ 0.15957568972, -0.79465447229, 0.49112347319],
8607  [-0.41777457947, 0.62686666264, 0.57501737801],
8608  [ 0.93417235896, -0.08389390482, 0.13574318945],
8609  [-0.51639777949, 0.35538028373, 0.71076056747],
8610  [-0.15957568972, 0.79465447229, 0.49112347319],
8611  [ 0.83554915894, -0.35538028373, 0.27148637891],
8612  [ 0.00000000000, -0.62686666264, 0.71076056747],
8613  [ 0.41777457947, 0.79465447229, 0.30353099910],
8614  [-0.27504574356, -0.50545426300, 0.81784217730],
8615  [-0.43462143328, -0.23396788409, 0.86969146193],
8616  [-0.41777457947, 0.08389390482, 0.84650375692],
8617  [ 0.15957568972, 0.79465447229, 0.49112347319],
8618  [ 0.83554915894, -0.08389390482, 0.43927418856],
8619  [ 0.00000000000, -0.35538028373, 0.87854837712],
8620  [-0.15957568972, -0.08389390482, 0.93039766175],
8621  [ 0.41777457947, 0.62686666264, 0.57501737801],
8622  [ 0.67597346922, 0.08389390482, 0.65891128284],
8623  [ 0.15957568972, -0.08389390482, 0.93039766175],
8624  [ 0.51639777949, 0.35538028373, 0.71076056747],
8625  [ 0.41777457947, 0.08389390482, 0.84650375692]
8626  ],
8627  [
8628  [0.94770374960, -168.64537190776, 153.28013898830],
8629  [0.94770374960, -145.46460289539, 138.58880169320],
8630  [0.94770374960, 152.26769855232, 169.03360469452],
8631  [0.94770374960, -172.92529490520, 134.04884571041],
8632  [0.94770374960, -123.68142749990, 127.35473359040],
8633  [0.94770374960, 27.73230144773, 169.03360469455],
8634  [0.94770374960, 90.00000000003, 157.97624948384],
8635  [0.94770374960, 174.26639258734, 117.61410888587],
8636  [0.94770374960, -101.35462809223, 121.21324176779],
8637  [0.94770374960, -11.35462809223, 153.28013898833],
8638  [1.00000000000, 28.29472150821, 150.42280516293],
8639  [1.00000000000, 61.44693246452, 144.86936714484],
8640  [0.94770374960, -117.73230144770, 108.67988715813],
8641  [0.94770374960, 90.00000000001, 138.58880169322],
8642  [0.94770374960, 156.95871796353, 106.64659156938],
8643  [0.94770374960, -78.64537190778, 121.21324176780],
8644  [0.94770374960, -34.53539710460, 138.58880169322],
8645  [0.94770374960, 174.86828470418, 98.23501459354],
8646  [0.94770374960, -56.31857250010, 127.35473359041],
8647  [0.94770374960, 101.35462809223, 121.21324176781],
8648  [0.94770374960, 137.15857755564, 103.40054301124],
8649  [0.94770374960, -7.07470509479, 134.04884571044],
8650  [1.00000000000, 18.66000818099, 133.00788389657],
8651  [0.94770374960, -123.01739809413, 89.99999999999],
8652  [0.94770374960, 117.73230144770, 108.67988715813],
8653  [1.00000000000, 57.15513367416, 126.74145405611],
8654  [0.94770374960, 78.64537190778, 121.21324176780],
8655  [0.94770374960, -174.86828470418, 81.76498540642],
8656  [0.94770374960, -62.26769855230, 108.67988715815],
8657  [0.94770374960, -137.15857755564, 76.59945698873],
8658  [1.00000000000, 36.11300912328, 120.95142428592],
8659  [0.94770374960, -156.95871796352, 73.35340843058],
8660  [0.94770374960, 123.01739809413, 89.99999999999],
8661  [0.94770374960, 5.73360741265, 117.61410888590],
8662  [0.94770374960, -117.73230144769, 71.32011284184],
8663  [0.94770374960, 62.26769855230, 108.67988715815],
8664  [0.94770374960, -174.26639258734, 62.38589111409],
8665  [0.94770374960, -56.98260190585, 90.00000000000],
8666  [0.94770374960, 23.04128203647, 106.64659156940],
8667  [1.00000000000, -143.88699087670, 59.04857571407],
8668  [0.94770374960, 42.84142244435, 103.40054301126],
8669  [0.94770374960, 117.73230144769, 71.32011284184],
8670  [0.94770374960, 5.13171529581, 98.23501459357],
8671  [0.94770374960, -101.35462809221, 58.78675823219],
8672  [1.00000000000, -122.84486632582, 53.25854594388],
8673  [0.94770374960, -62.26769855229, 71.32011284186],
8674  [0.94770374960, 56.98260190586, 90.00000000000],
8675  [1.00000000000, -161.33999181900, 46.99211610342],
8676  [0.94770374960, 172.92529490520, 45.95115428955],
8677  [0.94770374960, -42.84142244435, 76.59945698874],
8678  [0.94770374960, -78.64537190776, 58.78675823218],
8679  [0.94770374960, 123.68142749989, 52.64526640958],
8680  [0.94770374960, -5.13171529581, 81.76498540645],
8681  [0.94770374960, 145.46460289539, 41.41119830677],
8682  [0.94770374960, 101.35462809221, 58.78675823218],
8683  [0.94770374960, -23.04128203647, 73.35340843061],
8684  [0.94770374960, -89.99999999998, 41.41119830677],
8685  [0.94770374960, 62.26769855229, 71.32011284186],
8686  [1.00000000000, -118.55306753547, 35.13063285515],
8687  [1.00000000000, -151.70527849178, 29.57719483705],
8688  [0.94770374960, 168.64537190776, 26.71986101166],
8689  [0.94770374960, 78.64537190776, 58.78675823220],
8690  [0.94770374960, -5.73360741264, 62.38589111412],
8691  [0.94770374960, -89.99999999996, 22.02375051615],
8692  [0.94770374960, -152.26769855226, 10.96639530544],
8693  [0.94770374960, 56.31857250008, 52.64526640959],
8694  [0.94770374960, 7.07470509479, 45.95115428958],
8695  [0.94770374960, -27.73230144767, 10.96639530546],
8696  [0.94770374960, 34.53539710460, 41.41119830678],
8697  [0.94770374960, 11.35462809222, 26.71986101169]
8698  ],
8699  [
8700  [8,12,23,34,43,50,45,37,28,15],
8701  [12,8,4],
8702  [2,0,1,4,8,15,18,16,9,5],
8703  [1,0,3],
8704  [15,28,18],
8705  [33,21,16,18,28,37,49,55,52,42],
8706  [16,21,9],
8707  [37,45,49],
8708  [66,62,55,49,45,50,56,63,67,69],
8709  [55,62,52],
8710  [50,43,56],
8711  [64,60,53,51,54,61,65,68,69,67],
8712  [67,63,64],
8713  [34,23,29],
8714  [17,27,31,29,23,12,4,1,3,7],
8715  [31,27,36],
8716  [19,26,35,46,57,61,54,41,32,24],
8717  [26,19,13],
8718  [0,2,6,13,19,24,20,14,7,3],
8719  [6,2,5],
8720  [24,32,20],
8721  [27,17,14,20,32,41,51,53,48,36],
8722  [14,17,7],
8723  [41,54,51],
8724  [48,53,60],
8725  [61,57,65],
8726  [62,66,68,65,57,46,40,38,42,52],
8727  [68,66,69],
8728  [46,35,40],
8729  [42,38,33],
8730  [11,10,22,30,25],
8731  [40,35,25,30],
8732  [38,40,30],
8733  [33,38,30,22],
8734  [21,33,22],
8735  [9,21,22,10],
8736  [5,9,10],
8737  [6,5,10,11],
8738  [6,11,13],
8739  [26,13,11,25],
8740  [35,26,25],
8741  [39,47,59,58,44],
8742  [56,43,44,58],
8743  [63,56,58],
8744  [64,63,58,59],
8745  [60,64,59],
8746  [48,60,59,47],
8747  [36,48,47],
8748  [31,36,47,39],
8749  [31,39,29],
8750  [34,29,39,44],
8751  [43,34,44]
8752  ],
8753  [
8754  [0,1],
8755  [0,2],
8756  [0,3],
8757  [1,3],
8758  [1,4],
8759  [2,5],
8760  [2,6],
8761  [3,7],
8762  [4,8],
8763  [4,12],
8764  [5,6],
8765  [5,9],
8766  [5,10],
8767  [6,11],
8768  [6,13],
8769  [7,14],
8770  [7,17],
8771  [8,12],
8772  [8,15],
8773  [9,10],
8774  [9,16],
8775  [9,21],
8776  [10,11],
8777  [10,22],
8778  [11,13],
8779  [11,25],
8780  [12,23],
8781  [13,19],
8782  [13,26],
8783  [14,17],
8784  [14,20],
8785  [15,18],
8786  [15,28],
8787  [16,18],
8788  [16,21],
8789  [17,27],
8790  [18,28],
8791  [19,24],
8792  [19,26],
8793  [20,24],
8794  [20,32],
8795  [21,22],
8796  [21,33],
8797  [22,30],
8798  [22,33],
8799  [23,29],
8800  [23,34],
8801  [24,32],
8802  [25,26],
8803  [25,30],
8804  [25,35],
8805  [26,35],
8806  [27,31],
8807  [27,36],
8808  [28,37],
8809  [29,31],
8810  [29,34],
8811  [29,39],
8812  [30,38],
8813  [30,40],
8814  [31,36],
8815  [31,39],
8816  [32,41],
8817  [33,38],
8818  [33,42],
8819  [34,43],
8820  [34,44],
8821  [35,40],
8822  [35,46],
8823  [36,47],
8824  [36,48],
8825  [37,45],
8826  [37,49],
8827  [38,40],
8828  [38,42],
8829  [39,44],
8830  [39,47],
8831  [40,46],
8832  [41,51],
8833  [41,54],
8834  [42,52],
8835  [43,44],
8836  [43,50],
8837  [43,56],
8838  [44,58],
8839  [45,49],
8840  [45,50],
8841  [46,57],
8842  [47,48],
8843  [47,59],
8844  [48,53],
8845  [48,60],
8846  [49,55],
8847  [50,56],
8848  [51,53],
8849  [51,54],
8850  [52,55],
8851  [52,62],
8852  [53,60],
8853  [54,61],
8854  [55,62],
8855  [56,58],
8856  [56,63],
8857  [57,61],
8858  [57,65],
8859  [58,59],
8860  [58,63],
8861  [59,60],
8862  [59,64],
8863  [60,64],
8864  [61,65],
8865  [62,66],
8866  [63,64],
8867  [63,67],
8868  [64,67],
8869  [65,68],
8870  [66,68],
8871  [66,69],
8872  [67,69],
8873  [68,69]
8874  ]
8875  ],
8876  [
8877  "parabidiminished_rhombicosidodecahedron",
8878  "Parabidiminished Rhombicosidodecahedron",
8879  "J80",
8880  "johnson",
8881  "Polyhedron Database #124",
8882  [
8883  [ 0.58622749983, 0.68915175777, 0.42591920971],
8884  [ 0.22391897979, 0.68915175777, 0.68915175777],
8885  [ 0.81014647962, 0.30819803544, 0.49867489661],
8886  [ 0.22391897979, 0.30819803544, 0.92459410632],
8887  [ 0.58622749983, 0.07275568690, 0.80687293205],
8888  [ 0.72461704007, 0.68915175777, 0.00000000000],
8889  [ 0.94853601986, 0.30819803544, 0.07275568690],
8890  [-0.22391897979, 0.68915175777, 0.68915175777],
8891  [ 0.94853601986, -0.07275568690, 0.30819803544],
8892  [-0.22391897979, 0.30819803544, 0.92459410632],
8893  [ 0.72461704007, -0.30819803544, 0.61639607088],
8894  [-0.00000000000, -0.07275568690, 0.99734979321],
8895  [ 0.36230852003, -0.30819803544, 0.87962861894],
8896  [ 0.58622749983, 0.68915175777, -0.42591920971],
8897  [ 0.94853601986, 0.07275568690, -0.30819803544],
8898  [-0.58622749983, 0.68915175777, 0.42591920971],
8899  [ 0.94853601986, -0.30819803544, -0.07275568690],
8900  [ 0.72461704007, 0.30819803544, -0.61639607088],
8901  [-0.58622749983, 0.07275568690, 0.80687293205],
8902  [ 0.58622749983, -0.68915175777, 0.42591920971],
8903  [-0.36230852003, -0.30819803544, 0.87962861894],
8904  [ 0.22391897979, 0.68915175777, -0.68915175777],
8905  [ 0.22391897979, -0.68915175777, 0.68915175777],
8906  [-0.81014647962, 0.30819803544, 0.49867489661],
8907  [-0.72461704007, 0.68915175777, -0.00000000000],
8908  [ 0.72461704007, -0.68915175777, 0.00000000000],
8909  [ 0.81014647962, -0.30819803544, -0.49867489661],
8910  [-0.22391897979, 0.68915175777, -0.68915175777],
8911  [-0.22391897979, -0.68915175777, 0.68915175777],
8912  [ 0.36230852003, 0.30819803544, -0.87962861894],
8913  [-0.58622749983, 0.68915175777, -0.42591920971],
8914  [ 0.58622749983, -0.07275568690, -0.80687293205],
8915  [-0.72461704007, -0.30819803544, 0.61639607088],
8916  [-0.94853601986, 0.30819803544, 0.07275568690],
8917  [ 0.58622749983, -0.68915175777, -0.42591920971],
8918  [-0.94853601986, -0.07275568690, 0.30819803544],
8919  [-0.58622749983, -0.68915175777, 0.42591920971],
8920  [-0.36230852003, 0.30819803544, -0.87962861894],
8921  [ 0.00000000000, 0.07275568690, -0.99734979321],
8922  [-0.72461704007, 0.30819803544, -0.61639607088],
8923  [ 0.22391897979, -0.30819803544, -0.92459410632],
8924  [-0.94853601986, 0.07275568690, -0.30819803544],
8925  [ 0.22391897979, -0.68915175777, -0.68915175777],
8926  [-0.94853601986, -0.30819803544, -0.07275568690],
8927  [-0.72461704007, -0.68915175777, -0.00000000000],
8928  [-0.58622749983, -0.07275568690, -0.80687293205],
8929  [-0.22391897979, -0.30819803544, -0.92459410632],
8930  [-0.81014647962, -0.30819803544, -0.49867489661],
8931  [-0.22391897979, -0.68915175777, -0.68915175777],
8932  [-0.58622749983, -0.68915175777, -0.42591920971]
8933  ],
8934  [
8935  [1.00000000000, 49.61382244080, 64.79113973109],
8936  [1.00000000000, 71.99999999999, 46.43699940042],
8937  [1.00000000000, 20.82794635300, 60.08762947998],
8938  [1.00000000000, 54.00000000001, 22.39277092895],
8939  [1.00000000000, 7.07470509478, 36.20847605288],
8940  [1.00000000000, 43.56300059957, 89.99999999999],
8941  [1.00000000000, 18.00000000000, 85.82771975187],
8942  [1.00000000000, 108.00000000000, 46.43699940042],
8943  [1.00000000000, -4.38617755920, 72.04933075284],
8944  [1.00000000000, 126.00000000002, 22.39277092895],
8945  [1.00000000000, -23.04128203648, 51.94656853438],
8946  [1.00000000000, -90.00000000007, 4.17228024813],
8947  [1.00000000000, -40.38617755921, 28.40240364405],
8948  [1.00000000000, 49.61382244080, 115.20886026888],
8949  [1.00000000000, 4.38617755920, 107.95066924714],
8950  [1.00000000000, 130.38617755919, 64.79113973110],
8951  [1.00000000000, -18.00000000000, 94.17228024812],
8952  [1.00000000000, 23.04128203647, 128.05343146559],
8953  [1.00000000000, 172.92529490521, 36.20847605289],
8954  [1.00000000000, -49.61382244080, 64.79113973110],
8955  [1.00000000000, -139.61382244078, 28.40240364406],
8956  [1.00000000000, 71.99999999999, 133.56300059956],
8957  [1.00000000000, -72.00000000000, 46.43699940043],
8958  [1.00000000000, 159.17205364699, 60.08762947999],
8959  [1.00000000000, 136.43699940041, 89.99999999999],
8960  [1.00000000000, -43.56300059957, 89.99999999999],
8961  [1.00000000000, -20.82794635300, 119.91237052000],
8962  [1.00000000000, 107.99999999999, 133.56300059956],
8963  [1.00000000000, -108.00000000000, 46.43699940042],
8964  [1.00000000000, 40.38617755920, 151.59759635593],
8965  [1.00000000000, 130.38617755918, 115.20886026889],
8966  [1.00000000000, -7.07470509478, 143.79152394710],
8967  [1.00000000000, -156.95871796352, 51.94656853439],
8968  [1.00000000000, 161.99999999999, 85.82771975187],
8969  [1.00000000000, -49.61382244080, 115.20886026889],
8970  [1.00000000000, -175.61382244079, 72.04933075285],
8971  [1.00000000000, -130.38617755919, 64.79113973111],
8972  [1.00000000000, 139.61382244078, 151.59759635594],
8973  [1.00000000000, 89.99999999992, 175.82771975186],
8974  [1.00000000000, 156.95871796351, 128.05343146560],
8975  [1.00000000000, -53.99999999996, 157.60722907103],
8976  [1.00000000000, 175.61382244079, 107.95066924714],
8977  [1.00000000000, -71.99999999999, 133.56300059957],
8978  [1.00000000000, -161.99999999999, 94.17228024812],
8979  [1.00000000000, -136.43699940042, 90.00000000000],
8980  [1.00000000000, -172.92529490521, 143.79152394711],
8981  [1.00000000000, -125.99999999998, 157.60722907104],
8982  [1.00000000000, -159.17205364699, 119.91237052001],
8983  [1.00000000000, -107.99999999999, 133.56300059957],
8984  [1.00000000000, -130.38617755919, 115.20886026889]
8985  ],
8986  [
8987  [12,10,19,22],
8988  [4,10,12],
8989  [4,2,8,10],
8990  [10,8,16,25,19],
8991  [2,6,8],
8992  [0,5,6,2],
8993  [8,6,14,16],
8994  [14,26,16],
8995  [14,17,31,26],
8996  [6,5,13,17,14],
8997  [17,29,31],
8998  [13,21,29,17],
8999  [11,3,4,12],
9000  [9,3,11],
9001  [9,7,1,3],
9002  [3,1,0,2,4],
9003  [30,27,21,13,5,0,1,7,15,24],
9004  [20,18,9,11],
9005  [32,18,20],
9006  [32,35,23,18],
9007  [18,23,15,7,9],
9008  [35,33,23],
9009  [43,41,33,35],
9010  [23,33,24,15],
9011  [33,41,39,30,24],
9012  [39,37,27,30],
9013  [28,36,32,20],
9014  [22,19,25,34,42,48,49,44,36,28],
9015  [36,44,43,35,32],
9016  [44,49,47,43],
9017  [47,41,43],
9018  [47,45,39,41],
9019  [49,48,46,45,47],
9020  [45,37,39],
9021  [46,38,37,45],
9022  [16,26,34,25],
9023  [42,40,46,48],
9024  [34,26,31,40,42],
9025  [40,38,46],
9026  [31,29,38,40],
9027  [28,20,11,12,22],
9028  [29,21,27,37,38]
9029  ],
9030  [
9031  [0,1],
9032  [0,2],
9033  [0,5],
9034  [1,3],
9035  [1,7],
9036  [2,4],
9037  [2,6],
9038  [2,8],
9039  [3,4],
9040  [3,9],
9041  [3,11],
9042  [4,10],
9043  [4,12],
9044  [5,6],
9045  [5,13],
9046  [6,8],
9047  [6,14],
9048  [7,9],
9049  [7,15],
9050  [8,10],
9051  [8,16],
9052  [9,11],
9053  [9,18],
9054  [10,12],
9055  [10,19],
9056  [11,12],
9057  [11,20],
9058  [12,22],
9059  [13,17],
9060  [13,21],
9061  [14,16],
9062  [14,17],
9063  [14,26],
9064  [15,23],
9065  [15,24],
9066  [16,25],
9067  [16,26],
9068  [17,29],
9069  [17,31],
9070  [18,20],
9071  [18,23],
9072  [18,32],
9073  [19,22],
9074  [19,25],
9075  [20,28],
9076  [20,32],
9077  [21,27],
9078  [21,29],
9079  [22,28],
9080  [23,33],
9081  [23,35],
9082  [24,30],
9083  [24,33],
9084  [25,34],
9085  [26,31],
9086  [26,34],
9087  [27,30],
9088  [27,37],
9089  [28,36],
9090  [29,31],
9091  [29,38],
9092  [30,39],
9093  [31,40],
9094  [32,35],
9095  [32,36],
9096  [33,35],
9097  [33,41],
9098  [34,42],
9099  [35,43],
9100  [36,44],
9101  [37,38],
9102  [37,39],
9103  [37,45],
9104  [38,40],
9105  [38,46],
9106  [39,41],
9107  [39,45],
9108  [40,42],
9109  [40,46],
9110  [41,43],
9111  [41,47],
9112  [42,48],
9113  [43,44],
9114  [43,47],
9115  [44,49],
9116  [45,46],
9117  [45,47],
9118  [46,48],
9119  [47,49],
9120  [48,49]
9121  ]
9122  ],
9123  [
9124  "parabigyrate_rhombicosidodecahedron",
9125  "Parabigyrate Rhombicosidodecahedron",
9126  "J73",
9127  "johnson",
9128  "Polyhedron Database #117",
9129  [
9130  [ 0.36230850004, -0.30819801706, 0.87962856150],
9131  [ 0.72461699471, -0.30819801706, 0.61639603048],
9132  [ 0.58622746438, 0.07275567931, 0.80687287901],
9133  [ 0.22391896876, -0.68915171342, 0.68915171367],
9134  [ 0.00000000500, -0.07275568456, 0.99734972866],
9135  [ 0.58622746343, -0.68915171342, 0.42591918264],
9136  [ 0.22391896935, 0.30819801180, 0.92459404616],
9137  [ 0.94853595846, -0.07275568456, 0.30819801549],
9138  [ 0.81014642814, 0.30819801180, 0.49867486402],
9139  [-0.22391896030, -0.68915171342, 0.68915171479],
9140  [-0.36230849063, -0.30819801706, 0.87962856332],
9141  [ 0.22391896780, -0.92459404591, 0.30819801731],
9142  [-0.22391895971, 0.30819801180, 0.92459404728],
9143  [ 0.72461699316, -0.68915171342, 0.00000000162],
9144  [ 0.94853595751, -0.30819801706, -0.07275568087],
9145  [ 0.22391896876, 0.68915170816, 0.68915171367],
9146  [ 0.58622746343, 0.68915170816, 0.42591918264],
9147  [ 0.98678588305, 0.13783033953, -0.08518383517],
9148  [ 0.84839635273, 0.51878403589, 0.10529301336],
9149  [-0.22391896125, -0.92459404591, 0.30819801843],
9150  [-0.58622745534, 0.07275567931, 0.80687288195],
9151  [ 0.36230849754, -0.92459404591, -0.11772116371],
9152  [-0.62447738147, -0.51878404115, 0.58385870375],
9153  [-0.22391896030, 0.68915170816, 0.68915171479],
9154  [ 0.58622746129, -0.68915171342, -0.42591917870],
9155  [ 0.81014642564, -0.30819801706, -0.49867486120],
9156  [ 0.00000000346, 0.92459404065, 0.38095369980],
9157  [ 0.36230849813, 0.92459404065, 0.11772116878],
9158  [-0.62447738243, -0.75422637364, 0.20290500739],
9159  [-0.84839634618, -0.13783034479, 0.51110302238],
9160  [ 0.84839635118, 0.13783033953, -0.51110301549],
9161  [ 0.62447738743, 0.75422636838, -0.20290500050],
9162  [-0.36230849313, -0.92459404591, -0.11772116190],
9163  [ 0.00000000155, -0.92459404591, -0.38095369292],
9164  [-0.81014642064, 0.30819801180, 0.49867486808],
9165  [-0.58622745629, 0.68915170816, 0.42591918558],
9166  [ 0.22391896530, -0.68915171342, -0.68915170791],
9167  [ 0.62447738647, 0.51878403589, -0.58385869687],
9168  [-0.36230849254, 0.92459404065, 0.11772117060],
9169  [ 0.58622746034, -0.07275568456, -0.80687287506],
9170  [ 0.22391896626, 0.92459404065, -0.30819801155],
9171  [-0.84839634773, -0.51878404115, -0.10529300648],
9172  [-0.98678587805, -0.13783034479, 0.08518384205],
9173  [-0.58622745843, -0.68915171342, -0.42591917576],
9174  [-0.22391896375, -0.68915171342, -0.68915170679],
9175  [-0.94853595251, 0.30819801180, 0.07275568775],
9176  [-0.72461702963, 0.68915172996, -0.00000000821],
9177  [ 0.22391896471, -0.30819801706, -0.92459404040],
9178  [-0.22391896280, 0.92459404065, -0.30819801042],
9179  [ 0.36230849563, 0.30819801180, -0.87962855644],
9180  [ 0.22391896530, 0.68915170816, -0.68915170791],
9181  [-0.81014642314, -0.30819801706, -0.49867485713],
9182  [-0.94853595346, 0.07275567931, -0.30819800861],
9183  [-0.22391896435, -0.30819801706, -0.92459403928],
9184  [-0.58622752552, 0.68915174343, -0.42591919756],
9185  [ 0.00000000000, 0.07275570111, -0.99734976537],
9186  [-0.22391896376, 0.68915172996, -0.68915175038],
9187  [-0.58622745938, -0.07275568456, -0.80687287212],
9188  [-0.72461703117, 0.30819803360, -0.61639603707],
9189  [-0.36230849504, 0.30819804707, -0.87962862516]
9190  ],
9191  [
9192  [0.99999993656, -40.38617743313, 28.40240384151],
9193  [0.99999993656, -23.04128209727, 51.94656862891],
9194  [0.99999993587, 7.07470478772, 36.20847617870],
9195  [0.99999993656, -71.99999974627, 46.43699943116],
9196  [0.99999993544, -89.99999606190, 4.17228038401],
9197  [0.99999993656, -49.61382237655, 64.79113973417],
9198  [0.99999993475, 53.99999918131, 22.39277090345],
9199  [0.99999993544, -4.38617770198, 72.04933075606],
9200  [0.99999993475, 20.82794610245, 60.08762948339],
9201  [0.99999993544, -107.99999961779, 46.43699928138],
9202  [0.99999993475, -139.61382183230, 28.40240343072],
9203  [0.99999993587, -76.38617740486, 72.04933065459],
9204  [0.99999993363, 125.99999964614, 22.39277057888],
9205  [0.99999993544, -43.56300060998, 89.99999990690],
9206  [0.99999993475, -18.00000010248, 94.17228017477],
9207  [0.99999993294, 71.99999961782, 46.43699923371],
9208  [0.99999993294, 49.61382216083, 64.79113963644],
9209  [0.99999993363, 7.95140457547, 94.88659651498],
9210  [0.99999993294, 31.44527793232, 83.95595102273],
9211  [0.99999993475, -103.61382221193, 72.04933056618],
9212  [0.99999993294, 172.92529510423, 36.20847566418],
9213  [0.99999993475, -68.60193103217, 96.76060308200],
9214  [0.99999993363, -140.28192204812, 54.27759374404],
9215  [0.99999993182, 107.99999974630, 46.43699908393],
9216  [0.99999993363, -49.61382247955, 115.20886009515],
9217  [0.99999993294, -20.82794648604, 119.91237038987],
9218  [0.99999993070, 89.99999978588, 67.60722883136],
9219  [0.99999993070, 68.60193088980, 83.23939659817],
9220  [0.99999993294, -129.62376261749, 78.29311161251],
9221  [0.99999993182, -170.77235490496, 59.26266820361],
9222  [0.99999993182, 9.22764469560, 120.73733133757],
9223  [0.99999993070, 50.37623696091, 101.70688801134],
9224  [0.99999993294, -111.39806873086, 96.76060298949],
9225  [0.99999993294, -89.99999990422, 112.39277068925],
9226  [0.99999993070, 159.17205372127, 60.08762908134],
9227  [0.99999993001, 130.38617749497, 64.79113937122],
9228  [0.99999993182, -72.00000000611, 133.56300037183],
9229  [0.99999993001, 39.71807744091, 125.72240591951],
9230  [0.99999992889, 111.39806880987, 83.23939648105],
9231  [0.99999993070, -7.07470534214, 143.79152384349],
9232  [0.99999992889, 76.38617742080, 107.95066912810],
9233  [0.99999993070, -148.55472165891, 96.04404859429],
9234  [0.99999993001, -172.04859508528, 85.11340307146],
9235  [0.99999993070, -130.38617738221, 115.20885998809],
9236  [0.99999993070, -107.99999987764, 133.56300034407],
9237  [0.99999992889, 162.00000009602, 85.82771940530],
9238  [0.99999997327, 136.43700014306, 90.00000047066],
9239  [0.99999993001, -54.00000021021, 157.60722888982],
9240  [0.99999992777, 103.61382237695, 107.95066908127],
9241  [0.99999992889, 40.38617729497, 151.59759636142],
9242  [0.99999992820, 71.99999987767, 133.56300056930],
9243  [0.99999992889, -159.17205345516, 119.91237025490],
9244  [0.99999992820, 175.61382259072, 107.95066896391],
9245  [0.99999992889, -125.99999974536, 157.60722887667],
9246  [1.00000000000, 130.38617938691, 115.20885949941],
9247  [0.99999997327, 89.99999999999, 175.82771882380],
9248  [0.99999997215, 107.99999947350, 133.56300153301],
9249  [0.99999992777, -172.92529464641, 143.79152378782],
9250  [0.99999997215, 156.95871783361, 128.05343025469],
9251  [1.00000000000, 139.61381942277, 151.59759710532]
9252  ],
9253  [
9254  [36,33,21,24],
9255  [44,33,36],
9256  [44,43,32,33],
9257  [33,32,19,11,21],
9258  [32,28,19],
9259  [43,41,28,32],
9260  [19,28,22,9],
9261  [22,10,9],
9262  [22,29,20,10],
9263  [28,41,42,29,22],
9264  [29,34,20],
9265  [42,45,34,29],
9266  [47,53,44,36],
9267  [55,53,47],
9268  [55,59,57,53],
9269  [53,57,51,43,44],
9270  [59,58,57],
9271  [56,54,58,59],
9272  [57,58,52,51],
9273  [51,41,43],
9274  [51,52,42,41],
9275  [58,54,46,45,52],
9276  [52,45,42],
9277  [46,35,34,45],
9278  [39,49,55,47],
9279  [37,50,49],
9280  [37,31,40,50],
9281  [49,50,56,59,55],
9282  [31,27,40],
9283  [18,16,27,31],
9284  [50,40,48,56],
9285  [48,54,56],
9286  [48,38,46,54],
9287  [40,27,26,38,48],
9288  [38,35,46],
9289  [26,23,35,38],
9290  [39,30,37,49],
9291  [25,30,39],
9292  [25,14,17,30],
9293  [30,17,18,31,37],
9294  [14,7,17],
9295  [1,2,8,7],
9296  [17,7,8,18],
9297  [8,16,18],
9298  [16,15,26,27],
9299  [8,2,6,15,16],
9300  [15,23,26],
9301  [6,12,23,15],
9302  [24,13,14,25],
9303  [21,13,24],
9304  [21,11,5,13],
9305  [13,5,1,7,14],
9306  [11,3,5],
9307  [19,9,3,11],
9308  [5,3,0,1],
9309  [0,2,1],
9310  [0,4,6,2],
9311  [3,9,10,4,0],
9312  [4,12,6],
9313  [10,20,12,4],
9314  [25,39,47,36,24],
9315  [20,34,35,23,12]
9316  ],
9317  [
9318  [0,1],
9319  [0,2],
9320  [0,3],
9321  [0,4],
9322  [1,2],
9323  [1,5],
9324  [1,7],
9325  [2,6],
9326  [2,8],
9327  [3,5],
9328  [3,9],
9329  [3,11],
9330  [4,6],
9331  [4,10],
9332  [4,12],
9333  [5,11],
9334  [5,13],
9335  [6,12],
9336  [6,15],
9337  [7,8],
9338  [7,14],
9339  [7,17],
9340  [8,16],
9341  [8,18],
9342  [9,10],
9343  [9,19],
9344  [9,22],
9345  [10,20],
9346  [10,22],
9347  [11,19],
9348  [11,21],
9349  [12,20],
9350  [12,23],
9351  [13,14],
9352  [13,21],
9353  [13,24],
9354  [14,17],
9355  [14,25],
9356  [15,16],
9357  [15,23],
9358  [15,26],
9359  [16,18],
9360  [16,27],
9361  [17,18],
9362  [17,30],
9363  [18,31],
9364  [19,28],
9365  [19,32],
9366  [20,29],
9367  [20,34],
9368  [21,24],
9369  [21,33],
9370  [22,28],
9371  [22,29],
9372  [23,26],
9373  [23,35],
9374  [24,25],
9375  [24,36],
9376  [25,30],
9377  [25,39],
9378  [26,27],
9379  [26,38],
9380  [27,31],
9381  [27,40],
9382  [28,32],
9383  [28,41],
9384  [29,34],
9385  [29,42],
9386  [30,37],
9387  [30,39],
9388  [31,37],
9389  [31,40],
9390  [32,33],
9391  [32,43],
9392  [33,36],
9393  [33,44],
9394  [34,35],
9395  [34,45],
9396  [35,38],
9397  [35,46],
9398  [36,44],
9399  [36,47],
9400  [37,49],
9401  [37,50],
9402  [38,46],
9403  [38,48],
9404  [39,47],
9405  [39,49],
9406  [40,48],
9407  [40,50],
9408  [41,42],
9409  [41,43],
9410  [41,51],
9411  [42,45],
9412  [42,52],
9413  [43,44],
9414  [43,51],
9415  [44,53],
9416  [45,46],
9417  [45,52],
9418  [46,54],
9419  [47,53],
9420  [47,55],
9421  [48,54],
9422  [48,56],
9423  [49,50],
9424  [49,55],
9425  [50,56],
9426  [51,52],
9427  [51,57],
9428  [52,58],
9429  [53,55],
9430  [53,57],
9431  [54,56],
9432  [54,58],
9433  [55,59],
9434  [56,59],
9435  [57,58],
9436  [57,59],
9437  [58,59]
9438  ]
9439  ],
9440  [
9441  "paragyrate_diminished_rhombicosidodecahedron",
9442  "Paragyrate Diminished Rhombicosidodecahedron",
9443  "J77",
9444  "johnson",
9445  "Polyhedron Database #121",
9446  [
9447  [-0.89511739413, -0.01066203605, -0.29084127179],
9448  [-0.68380884127, 0.21152092494, -0.58168254359],
9449  [-0.89511739413, 0.21152092494, 0.06865831081],
9450  [-0.55321297349, 0.57102050754, -0.40193275229],
9451  [-0.68380884127, 0.57102050754, -0.00000000000],
9452  [-0.76452152635, -0.37016161865, -0.47059106309],
9453  [-0.89511739413, -0.37016161865, -0.06865831081],
9454  [-0.55321297349, -0.14797865766, -0.76143233488],
9455  [-0.89511739413, -0.14797865766, 0.29084127179],
9456  [-0.34190442064, 0.21152092494, -0.83009064569],
9457  [-0.76452152635, 0.21152092494, 0.47059106309],
9458  [-0.21130855286, 0.57102050754, -0.65034085439],
9459  [-0.34190442064, 0.79320346853, -0.11109148049],
9460  [-0.55321297349, 0.57102050754, 0.40193275229],
9461  [-0.55321297349, -0.72966120124, -0.40193275229],
9462  [-0.68380884127, -0.72966120124, 0.00000000000],
9463  [-0.21130855286, -0.37016161865, -0.87252381538],
9464  [-0.68380884127, -0.37016161865, 0.58168254359],
9465  [ 0.00000000000, 0.79320346853, -0.35949958260],
9466  [ 0.00000000000, -0.01066203605, -0.94118212618],
9467  [-0.21130855286, 0.79320346853, 0.29084127179],
9468  [-0.55321297349, -0.01066203605, 0.76143233488],
9469  [-0.21130855286, -0.72966120124, -0.65034085439],
9470  [-0.55321297349, -0.72966120124, 0.40193275229],
9471  [ 0.21130855286, 0.57102050754, -0.65034085439],
9472  [-0.21130855286, 0.57102050754, 0.65034085439],
9473  [ 0.34190442064, 0.21152092494, -0.83009064569],
9474  [ 0.21130855286, -0.37016161865, -0.87252381538],
9475  [-0.21130855286, 0.21152092494, 0.87252381538],
9476  [-0.34190442064, -0.37016161865, 0.83009064569],
9477  [ 0.34190442064, 0.79320346853, -0.11109148049],
9478  [ 0.21130855286, 0.79320346853, 0.29084127179],
9479  [ 0.21130855286, -0.72966120124, -0.65034085439],
9480  [-0.21130855286, -0.72966120124, 0.65034085439],
9481  [ 0.55321297349, 0.57102050754, -0.40193275229],
9482  [ 0.21130855286, 0.57102050754, 0.65034085439],
9483  [ 0.55321297349, -0.14797865766, -0.76143233488],
9484  [-0.00000000000, -0.14797865766, 0.94118212618],
9485  [ 0.68380884127, 0.21152092494, -0.58168254359],
9486  [ 0.21130855286, 0.21152092494, 0.87252381538],
9487  [ 0.68380884127, 0.57102050754, -0.00000000000],
9488  [ 0.55321297349, 0.57102050754, 0.40193275229],
9489  [ 0.55321297349, -0.72966120124, -0.40193275229],
9490  [ 0.21130855286, -0.72966120124, 0.65034085439],
9491  [ 0.76452152635, -0.37016161865, -0.47059106309],
9492  [ 0.34190442064, -0.37016161865, 0.83009064569],
9493  [ 0.89511739413, -0.01066203605, -0.29084127179],
9494  [ 0.55321297349, -0.01066203605, 0.76143233488],
9495  [ 0.89511739413, 0.21152092494, 0.06865831081],
9496  [ 0.76452152635, 0.21152092494, 0.47059106309],
9497  [ 0.68380884127, -0.72966120124, 0.00000000000],
9498  [ 0.55321297349, -0.72966120124, 0.40193275229],
9499  [ 0.89511739413, -0.37016161865, -0.06865831081],
9500  [ 0.68380884127, -0.37016161865, 0.58168254359],
9501  [ 0.89511739413, -0.14797865766, 0.29084127179]
9502  ],
9503  [
9504  [0.94124251586, -179.31756350391, 107.99880557644],
9505  [0.92232869119, 162.81172019540, 129.09937175186],
9506  [0.92232869119, 166.70459888665, 85.73094312148],
9507  [0.89087538490, 134.09252726870, 116.81852286780],
9508  [0.89087538490, 140.13613772628, 90.00000000001],
9509  [0.97106577369, -154.16493060775, 118.98711799516],
9510  [0.97106577369, -157.53323421366, 94.05442815563],
9511  [0.95274418275, -165.02457730647, 143.05369410523],
9512  [0.95274418275, -170.61290105830, 72.22577748956],
9513  [0.92232869119, 148.25678032571, 154.15732953498],
9514  [0.92232869119, 164.53477767260, 59.32147762346],
9515  [0.89087538490, 110.30720654252, 136.88656564168],
9516  [0.87086835536, 113.31809665424, 97.32884973488],
9517  [0.89087538490, 134.09252726870, 63.18147713221],
9518  [1.00000000000, -127.16859907793, 113.69905988308],
9519  [1.00000000000, -133.14200112376, 89.99999999998],
9520  [0.97106577369, -119.72009459651, 153.96444613297],
9521  [0.97106577369, -151.57228676923, 53.20064626834],
9522  [0.87086835536, 89.99999999999, 114.38121844220],
9523  [0.94124251586, -89.99999999999, 179.35096139266],
9524  [0.87086835536, 104.91709431400, 70.49026741946],
9525  [0.94124251586, -178.89587902827, 36.00505936905],
9526  [1.00000000000, -106.15091992088, 130.56730576486],
9527  [1.00000000000, -127.16859907793, 66.30094011689],
9528  [0.89087538490, 69.69279345746, 136.88656564167],
9529  [0.89087538490, 110.30720654252, 43.11343435834],
9530  [0.92232869119, 31.74321967426, 154.15732953497],
9531  [0.97106577369, -60.27990540348, 153.96444613297],
9532  [0.92232869119, 134.97122238702, 18.91492540417],
9533  [0.97106577369, -132.72750132961, 31.25966748280],
9534  [0.87086835536, 66.68190334573, 97.32884973487],
9535  [0.87086835536, 75.08290568598, 70.49026741946],
9536  [1.00000000000, -73.84908007910, 130.56730576486],
9537  [1.00000000000, -106.15091992089, 49.43269423511],
9538  [0.89087538490, 45.90747273128, 116.81852286780],
9539  [0.89087538490, 69.69279345747, 43.11343435833],
9540  [0.95274418275, -14.97542269352, 143.05369410523],
9541  [0.95274418275, -89.99999999999, 8.93526016570],
9542  [0.92232869119, 17.18827980459, 129.09937175186],
9543  [0.92232869119, 45.02877761297, 18.91492540417],
9544  [0.89087538490, 39.86386227371, 90.00000000000],
9545  [0.89087538490, 45.90747273129, 63.18147713221],
9546  [1.00000000000, -52.83140092206, 113.69905988309],
9547  [1.00000000000, -73.84908007910, 49.43269423511],
9548  [0.97106577369, -25.83506939224, 118.98711799516],
9549  [0.97106577369, -47.27249867039, 31.25966748280],
9550  [0.94124251586, -0.68243649607, 107.99880557644],
9551  [0.94124251586, -1.10412097172, 36.00505936904],
9552  [0.92232869119, 13.29540111334, 85.73094312148],
9553  [0.92232869119, 15.46522232739, 59.32147762346],
9554  [1.00000000000, -46.85799887623, 89.99999999998],
9555  [1.00000000000, -52.83140092206, 66.30094011688],
9556  [0.97106577369, -22.46676578632, 94.05442815563],
9557  [0.97106577369, -28.42771323077, 53.20064626834],
9558  [0.95274418275, -9.38709894169, 72.22577748956]
9559  ],
9560  [
9561  [27,16,22,32],
9562  [19,16,27],
9563  [19,9,7,16],
9564  [16,7,5,14,22],
9565  [9,1,7],
9566  [11,3,1,9],
9567  [7,1,0,5],
9568  [0,6,5],
9569  [0,2,8,6],
9570  [1,3,4,2,0],
9571  [2,10,8],
9572  [4,13,10,2],
9573  [36,26,19,27],
9574  [38,26,36],
9575  [38,34,24,26],
9576  [26,24,11,9,19],
9577  [24,18,11],
9578  [34,30,18,24],
9579  [11,18,12,3],
9580  [12,4,3],
9581  [12,20,13,4],
9582  [18,30,31,20,12],
9583  [20,25,13],
9584  [31,35,25,20],
9585  [44,46,38,36],
9586  [52,46,44],
9587  [52,54,48,46],
9588  [46,48,40,34,38],
9589  [54,49,48],
9590  [53,47,49,54],
9591  [48,49,41,40],
9592  [40,30,34],
9593  [40,41,31,30],
9594  [49,47,39,35,41],
9595  [41,35,31],
9596  [39,28,25,35],
9597  [42,50,52,44],
9598  [32,22,14,15,23,33,43,51,50,42],
9599  [50,51,53,54,52],
9600  [51,43,45,53],
9601  [45,47,53],
9602  [45,37,39,47],
9603  [43,33,29,37,45],
9604  [37,28,39],
9605  [29,21,28,37],
9606  [5,6,15,14],
9607  [23,17,29,33],
9608  [15,6,8,17,23],
9609  [17,21,29],
9610  [8,10,21,17],
9611  [42,44,36,27,32],
9612  [10,13,25,28,21]
9613  ],
9614  [
9615  [0,1],
9616  [0,2],
9617  [0,5],
9618  [0,6],
9619  [1,3],
9620  [1,7],
9621  [1,9],
9622  [2,4],
9623  [2,8],
9624  [2,10],
9625  [3,4],
9626  [3,11],
9627  [3,12],
9628  [4,12],
9629  [4,13],
9630  [5,6],
9631  [5,7],
9632  [5,14],
9633  [6,8],
9634  [6,15],
9635  [7,9],
9636  [7,16],
9637  [8,10],
9638  [8,17],
9639  [9,11],
9640  [9,19],
9641  [10,13],
9642  [10,21],
9643  [11,18],
9644  [11,24],
9645  [12,18],
9646  [12,20],
9647  [13,20],
9648  [13,25],
9649  [14,15],
9650  [14,22],
9651  [15,23],
9652  [16,19],
9653  [16,22],
9654  [16,27],
9655  [17,21],
9656  [17,23],
9657  [17,29],
9658  [18,24],
9659  [18,30],
9660  [19,26],
9661  [19,27],
9662  [20,25],
9663  [20,31],
9664  [21,28],
9665  [21,29],
9666  [22,32],
9667  [23,33],
9668  [24,26],
9669  [24,34],
9670  [25,28],
9671  [25,35],
9672  [26,36],
9673  [26,38],
9674  [27,32],
9675  [27,36],
9676  [28,37],
9677  [28,39],
9678  [29,33],
9679  [29,37],
9680  [30,31],
9681  [30,34],
9682  [30,40],
9683  [31,35],
9684  [31,41],
9685  [32,42],
9686  [33,43],
9687  [34,38],
9688  [34,40],
9689  [35,39],
9690  [35,41],
9691  [36,38],
9692  [36,44],
9693  [37,39],
9694  [37,45],
9695  [38,46],
9696  [39,47],
9697  [40,41],
9698  [40,48],
9699  [41,49],
9700  [42,44],
9701  [42,50],
9702  [43,45],
9703  [43,51],
9704  [44,46],
9705  [44,52],
9706  [45,47],
9707  [45,53],
9708  [46,48],
9709  [46,52],
9710  [47,49],
9711  [47,53],
9712  [48,49],
9713  [48,54],
9714  [49,54],
9715  [50,51],
9716  [50,52],
9717  [51,53],
9718  [52,54],
9719  [53,54]
9720  ]
9721  ],
9722  [
9723  "pentagonal_cupola",
9724  "Pentagonal Cupola",
9725  "J5",
9726  "johnson",
9727  "Polyhedron Database #49",
9728  [
9729  [ 0.30722035250, -0.10767686506, -0.94552702116],
9730  [-0.30722035250, -0.10767686506, -0.94552702116],
9731  [ 0.80431332487, -0.10767686506, -0.58436783636],
9732  [ 0.30722035250, 0.21535373011, -0.42285253878],
9733  [-0.30722035250, 0.21535373011, -0.42285253878],
9734  [-0.80431332487, -0.10767686506, -0.58436783636],
9735  [ 0.99418594475, -0.10767686506, 0.00000000000],
9736  [ 0.49709297237, 0.21535373011, 0.16151529758],
9737  [-0.49709297237, 0.21535373011, 0.16151529758],
9738  [-0.99418594475, -0.10767686506, -0.00000000000],
9739  [ 0.00000000000, 0.21535373011, 0.52267448238],
9740  [ 0.80431332487, -0.10767686506, 0.58436783636],
9741  [-0.80431332487, -0.10767686506, 0.58436783636],
9742  [ 0.30722035250, -0.10767686506, 0.94552702116],
9743  [-0.30722035250, -0.10767686506, 0.94552702116]
9744  ],
9745  [
9746  [1.00000000000, -19.31492121303, 161.00148636537],
9747  [1.00000000000, -160.68507878696, 161.00148636537],
9748  [1.00000000000, -7.62509363515, 125.75834309459],
9749  [0.56530155104, 35.02948816948, 138.41849317790],
9750  [0.56530155104, 144.97051183050, 138.41849317790],
9751  [1.00000000000, -172.37490636484, 125.75834309458],
9752  [1.00000000000, -6.18141426338, 89.99999999999],
9753  [0.56530155104, 23.42352770491, 73.39839025197],
9754  [0.56530155104, 156.57647229507, 73.39839025196],
9755  [1.00000000000, -173.81858573662, 89.99999999999],
9756  [0.56530155104, 89.99999999997, 22.39277092895],
9757  [1.00000000000, -7.62509363516, 54.24165690541],
9758  [1.00000000000, -172.37490636484, 54.24165690540],
9759  [1.00000000000, -19.31492121306, 18.99851363462],
9760  [1.00000000000, -160.68507878694, 18.99851363462]
9761  ],
9762  [
9763  [0,1,5,9,12,14,13,11,6,2],
9764  [7,10,8,4,3],
9765  [1,0,3,4],
9766  [5,1,4],
9767  [9,5,4,8],
9768  [12,9,8],
9769  [14,12,8,10],
9770  [13,14,10],
9771  [11,13,10,7],
9772  [6,11,7],
9773  [2,6,7,3],
9774  [0,2,3]
9775  ],
9776  [
9777  [0,1],
9778  [0,2],
9779  [0,3],
9780  [1,4],
9781  [1,5],
9782  [2,3],
9783  [2,6],
9784  [3,4],
9785  [3,7],
9786  [4,5],
9787  [4,8],
9788  [5,9],
9789  [6,7],
9790  [6,11],
9791  [7,10],
9792  [7,11],
9793  [8,9],
9794  [8,10],
9795  [8,12],
9796  [9,12],
9797  [10,13],
9798  [10,14],
9799  [11,13],
9800  [12,14],
9801  [13,14]
9802  ]
9803  ],
9804  [
9805  "pentagonal_dipyramid",
9806  "Pentagonal Dipyramid",
9807  "J13",
9808  "johnson",
9809  "Polyhedron Database #57",
9810  [
9811  [ 0.00000000000, 0.61803398875, 0.00000000000],
9812  [ 0.00000000000, -0.00000000000, 1.00000000000],
9813  [ 0.95105651630, -0.00000000000, 0.30901699437],
9814  [-0.95105651630, -0.00000000000, 0.30901699437],
9815  [ 0.58778525229, 0.00000000000, -0.80901699437],
9816  [-0.58778525229, -0.00000000000, -0.80901699437],
9817  [ 0.00000000000, -0.61803398875, 0.00000000000]
9818  ],
9819  [
9820  [0.61803398875, 89.99999999999, 89.99999999999],
9821  [1.00000000000, -0.00000000000, 0.00000000000],
9822  [1.00000000000, -0.00000000000, 72.00000000000],
9823  [1.00000000000, -179.99999999999, 72.00000000000],
9824  [1.00000000000, 0.00000000000, 143.99999999999],
9825  [1.00000000000, -179.99999999999, 143.99999999999],
9826  [0.61803398875, -89.99999999999, 89.99999999999]
9827  ],
9828  [
9829  [0,2,1],
9830  [0,5,4],
9831  [0,4,2],
9832  [0,1,3],
9833  [0,3,5],
9834  [6,1,2],
9835  [6,4,5],
9836  [6,2,4],
9837  [6,3,1],
9838  [6,5,3]
9839  ],
9840  [
9841  [0,1],
9842  [0,2],
9843  [0,3],
9844  [0,4],
9845  [0,5],
9846  [1,2],
9847  [1,3],
9848  [1,6],
9849  [2,4],
9850  [2,6],
9851  [3,5],
9852  [3,6],
9853  [4,5],
9854  [4,6],
9855  [5,6]
9856  ]
9857  ],
9858  [
9859  "pentagonal_gyrobicupola",
9860  "Pentagonal Gyrobicupola",
9861  "J31",
9862  "johnson",
9863  "Polyhedron Database #75",
9864  [
9865  [ 0.80901699437, 0.00000000000, 0.58778525229],
9866  [ 0.30901699437, 0.00000000000, 0.95105651630],
9867  [ 1.00000000000, 0.00000000000, -0.00000000000],
9868  [-0.30901699437, 0.00000000000, 0.95105651630],
9869  [ 0.30901699438, -0.32491969623, 0.42532540418],
9870  [ 0.50000000000, 0.32491969623, 0.16245984812],
9871  [ 0.00000000000, 0.32491969623, 0.52573111212],
9872  [ 0.50000000000, -0.32491969623, -0.16245984812],
9873  [-0.30901699437, -0.32491969623, 0.42532540418],
9874  [ 0.80901699437, 0.00000000000, -0.58778525229],
9875  [-0.80901699437, 0.00000000000, 0.58778525229],
9876  [ 0.30901699437, 0.32491969623, -0.42532540418],
9877  [-0.50000000000, 0.32491969623, 0.16245984812],
9878  [-0.00000000000, -0.32491969623, -0.52573111212],
9879  [-0.50000000000, -0.32491969623, -0.16245984812],
9880  [-0.30901699438, 0.32491969623, -0.42532540418],
9881  [ 0.30901699437, -0.00000000000, -0.95105651630],
9882  [-1.00000000000, 0.00000000000, 0.00000000000],
9883  [-0.30901699437, -0.00000000000, -0.95105651630],
9884  [-0.80901699437, -0.00000000000, -0.58778525229]
9885  ],
9886  [
9887  [1.00000000000, 0.00000000001, 54.00000000000],
9888  [1.00000000000, 0.00000000002, 18.00000000000],
9889  [1.00000000000, 0.00000000000, 89.99999999999],
9890  [1.00000000000, 179.99999999997, 18.00000000000],
9891  [0.61803398875, -46.43699940041, 46.51292225447],
9892  [0.61803398875, 33.01739809414, 74.75983771732],
9893  [0.61803398875, 89.99999999999, 31.71747441146],
9894  [0.61803398875, -33.01739809415, 105.24016228267],
9895  [0.61803398875, -133.56300059956, 46.51292225447],
9896  [1.00000000000, 0.00000000000, 125.99999999999],
9897  [1.00000000000, 179.99999999999, 54.00000000000],
9898  [0.61803398875, 46.43699940043, 133.48707774552],
9899  [0.61803398875, 146.98260190584, 74.75983771731],
9900  [0.61803398875, -89.99999999999, 148.28252558853],
9901  [0.61803398875, -146.98260190585, 105.24016228267],
9902  [0.61803398875, 133.56300059958, 133.48707774551],
9903  [1.00000000000, -0.00000000002, 161.99999999999],
9904  [1.00000000000, 179.99999999999, 89.99999999999],
9905  [1.00000000000, -179.99999999997, 161.99999999999],
9906  [1.00000000000, -179.99999999998, 125.99999999999]
9907  ],
9908  [
9909  [13,14,8,4,7],
9910  [0,2,7,4],
9911  [1,0,4],
9912  [3,1,4,8],
9913  [10,3,8],
9914  [17,10,8,14],
9915  [19,17,14],
9916  [18,19,14,13],
9917  [16,18,13],
9918  [9,16,13,7],
9919  [2,9,7],
9920  [12,15,11,5,6],
9921  [0,1,6,5],
9922  [2,0,5],
9923  [9,2,5,11],
9924  [16,9,11],
9925  [18,16,11,15],
9926  [19,18,15],
9927  [17,19,15,12],
9928  [10,17,12],
9929  [3,10,12,6],
9930  [1,3,6]
9931  ],
9932  [
9933  [0,1],
9934  [0,2],
9935  [0,4],
9936  [0,5],
9937  [1,3],
9938  [1,4],
9939  [1,6],
9940  [2,5],
9941  [2,7],
9942  [2,9],
9943  [3,6],
9944  [3,8],
9945  [3,10],
9946  [4,7],
9947  [4,8],
9948  [5,6],
9949  [5,11],
9950  [6,12],
9951  [7,9],
9952  [7,13],
9953  [8,10],
9954  [8,14],
9955  [9,11],
9956  [9,16],
9957  [10,12],
9958  [10,17],
9959  [11,15],
9960  [11,16],
9961  [12,15],
9962  [12,17],
9963  [13,14],
9964  [13,16],
9965  [13,18],
9966  [14,17],
9967  [14,19],
9968  [15,18],
9969  [15,19],
9970  [16,18],
9971  [17,19],
9972  [18,19]
9973  ]
9974  ],
9975  [
9976  "pentagonal_gyrocupolarotunda",
9977  "Pentagonal Gyrocupolarotunda",
9978  "J33",
9979  "johnson",
9980  "Polyhedron Database #77",
9981  [
9982  [ 0.48929794886, -0.52375640567, 0.15898254091],
9983  [ 0.97859589772, -0.20579132385, 0.00000000000],
9984  [ 0.79170071188, -0.20579132385, 0.57520423663],
9985  [ 0.30240276302, -0.52375640567, -0.41622169572],
9986  [ 0.79170071188, -0.20579132385, -0.57520423663],
9987  [-0.00000000000, -0.52375640567, 0.51447830962],
9988  [ 0.30240276302, -0.20579132385, 0.93070000534],
9989  [ 0.30240276302, -0.20579132385, -0.93070000534],
9990  [-0.30240276302, -0.52375640567, -0.41622169572],
9991  [-0.48929794886, -0.52375640567, 0.15898254091],
9992  [ 0.79170071188, 0.30868698577, 0.25723915481],
9993  [-0.30240276302, -0.20579132385, 0.93070000534],
9994  [ 0.48929794886, 0.30868698577, -0.67346085053],
9995  [-0.30240276302, -0.20579132385, -0.93070000534],
9996  [ 0.00000000000, 0.30868698577, 0.83244339144],
9997  [-0.79170071188, -0.20579132385, 0.57520423663],
9998  [ 0.48929794886, 0.62665206759, -0.15898254091],
9999  [-0.79170071188, -0.20579132385, -0.57520423663],
10000  [ 0.30240276302, 0.62665206759, 0.41622169572],
10001  [-0.97859589772, -0.20579132385, 0.00000000000],
10002  [ 0.00000000000, 0.62665206759, -0.51447830962],
10003  [-0.48929794886, 0.30868698577, -0.67346085053],
10004  [-0.30240276302, 0.62665206759, 0.41622169572],
10005  [-0.79170071188, 0.30868698577, 0.25723915481],
10006  [-0.48929794886, 0.62665206759, -0.15898254091]
10007  ],
10008  [
10009  [0.73417212120, -46.94813165232, 77.49371610816],
10010  [1.00000000000, -11.87582630949, 89.99999999999],
10011  [1.00000000000, -14.57076836071, 54.88606373435],
10012  [0.73417212120, -59.99902685056, 124.53618426143],
10013  [1.00000000000, -14.57076836072, 125.11393626563],
10014  [0.73417212120, -89.99999999999, 45.51200522128],
10015  [1.00000000000, -34.23609575664, 21.45580279234],
10016  [1.00000000000, -34.23609575667, 158.54419720764],
10017  [0.73417212120, -120.00097314944, 124.53618426143],
10018  [0.73417212120, -133.05186834768, 77.49371610816],
10019  [0.88783424981, 21.30099109945, 73.15774001182],
10020  [1.00000000000, -145.76390424335, 21.45580279234],
10021  [0.88783424981, 32.24689857204, 139.33595894372],
10022  [1.00000000000, -145.76390424332, 158.54419720764],
10023  [0.88783424981, 89.99999999998, 20.34580761434],
10024  [1.00000000000, -165.42923163929, 54.88606373435],
10025  [0.81079019783, 52.01682666814, 101.30802279485],
10026  [1.00000000000, -165.42923163928, 125.11393626564],
10027  [0.81079019783, 64.23949134904, 59.11255988195],
10028  [1.00000000000, -168.12417369050, 89.99999999999],
10029  [0.81079019783, 89.99999999998, 129.38582952635],
10030  [0.88783424981, 147.75310142795, 139.33595894372],
10031  [0.81079019783, 115.76050865093, 59.11255988196],
10032  [0.88783424981, 158.69900890053, 73.15774001182],
10033  [0.81079019783, 127.98317333184, 101.30802279485]
10034  ],
10035  [
10036  [3,8,9,5,0],
10037  [6,2,0,5],
10038  [11,6,5],
10039  [15,11,5,9],
10040  [19,15,9],
10041  [17,19,9,8],
10042  [13,17,8],
10043  [7,13,8,3],
10044  [4,7,3],
10045  [1,4,3,0],
10046  [2,1,0],
10047  [16,18,22,24,20],
10048  [21,13,7,12,20],
10049  [24,21,20],
10050  [17,13,21],
10051  [23,19,17,21,24],
10052  [22,23,24],
10053  [15,19,23],
10054  [14,11,15,23,22],
10055  [18,14,22],
10056  [6,11,14],
10057  [10,2,6,14,18],
10058  [16,10,18],
10059  [1,2,10],
10060  [12,4,1,10,16],
10061  [20,12,16],
10062  [7,4,12]
10063  ],
10064  [
10065  [0,1],
10066  [0,2],
10067  [0,3],
10068  [0,5],
10069  [1,2],
10070  [1,4],
10071  [1,10],
10072  [2,6],
10073  [2,10],
10074  [3,4],
10075  [3,7],
10076  [3,8],
10077  [4,7],
10078  [4,12],
10079  [5,6],
10080  [5,9],
10081  [5,11],
10082  [6,11],
10083  [6,14],
10084  [7,12],
10085  [7,13],
10086  [8,9],
10087  [8,13],
10088  [8,17],
10089  [9,15],
10090  [9,19],
10091  [10,16],
10092  [10,18],
10093  [11,14],
10094  [11,15],
10095  [12,16],
10096  [12,20],
10097  [13,17],
10098  [13,21],
10099  [14,18],
10100  [14,22],
10101  [15,19],
10102  [15,23],
10103  [16,18],
10104  [16,20],
10105  [17,19],
10106  [17,21],
10107  [18,22],
10108  [19,23],
10109  [20,21],
10110  [20,24],
10111  [21,24],
10112  [22,23],
10113  [22,24],
10114  [23,24]
10115  ]
10116  ],
10117  [
10118  "pentagonal_orthobicupola",
10119  "Pentagonal Orthobicupola",
10120  "J30",
10121  "johnson",
10122  "Polyhedron Database #74",
10123  [
10124  [ 0.30901699438, 0.00000000000, 0.95105651630],
10125  [-0.30901699437, 0.00000000000, 0.95105651630],
10126  [ 0.80901699437, 0.00000000000, 0.58778525229],
10127  [ 0.00000000000, 0.32491969623, 0.52573111212],
10128  [-0.00000000000, -0.32491969623, 0.52573111212],
10129  [-0.80901699437, 0.00000000000, 0.58778525229],
10130  [ 0.50000000000, 0.32491969623, 0.16245984812],
10131  [ 0.50000000000, -0.32491969623, 0.16245984812],
10132  [ 1.00000000000, 0.00000000000, -0.00000000000],
10133  [-0.50000000000, 0.32491969623, 0.16245984812],
10134  [-0.50000000000, -0.32491969623, 0.16245984812],
10135  [-1.00000000000, 0.00000000000, 0.00000000000],
10136  [ 0.30901699437, 0.32491969623, -0.42532540418],
10137  [ 0.30901699437, -0.32491969623, -0.42532540418],
10138  [ 0.80901699437, -0.00000000000, -0.58778525229],
10139  [-0.30901699438, 0.32491969623, -0.42532540418],
10140  [-0.30901699438, -0.32491969623, -0.42532540418],
10141  [-0.80901699437, -0.00000000000, -0.58778525229],
10142  [ 0.30901699437, -0.00000000000, -0.95105651630],
10143  [-0.30901699438, 0.00000000000, -0.95105651630]
10144  ],
10145  [
10146  [1.00000000000, 0.00000000000, 18.00000000000],
10147  [1.00000000000, 179.99999999999, 17.99999999999],
10148  [1.00000000000, 0.00000000001, 54.00000000000],
10149  [0.61803398875, 89.99999999998, 31.71747441146],
10150  [0.61803398875, -89.99999999999, 31.71747441146],
10151  [1.00000000000, 179.99999999998, 53.99999999999],
10152  [0.61803398875, 33.01739809414, 74.75983771732],
10153  [0.61803398875, -33.01739809414, 74.75983771731],
10154  [1.00000000000, 0.00000000000, 90.00000000000],
10155  [0.61803398875, 146.98260190585, 74.75983771731],
10156  [0.61803398875, -146.98260190585, 74.75983771731],
10157  [1.00000000000, 179.99999999999, 89.99999999999],
10158  [0.61803398875, 46.43699940043, 133.48707774551],
10159  [0.61803398875, -46.43699940043, 133.48707774551],
10160  [1.00000000000, -0.00000000001, 125.99999999999],
10161  [0.61803398875, 133.56300059957, 133.48707774552],
10162  [0.61803398875, -133.56300059957, 133.48707774551],
10163  [1.00000000000, -179.99999999998, 125.99999999999],
10164  [1.00000000000, -0.00000000002, 162.00000000000],
10165  [1.00000000000, 179.99999999999, 161.99999999999]
10166  ],
10167  [
10168  [13,16,10,4,7],
10169  [0,2,7,4],
10170  [1,0,4],
10171  [5,1,4,10],
10172  [11,5,10],
10173  [17,11,10,16],
10174  [19,17,16],
10175  [18,19,16,13],
10176  [14,18,13],
10177  [8,14,13,7],
10178  [2,8,7],
10179  [9,15,12,6,3],
10180  [2,0,3,6],
10181  [8,2,6],
10182  [14,8,6,12],
10183  [18,14,12],
10184  [19,18,12,15],
10185  [17,19,15],
10186  [11,17,15,9],
10187  [5,11,9],
10188  [1,5,9,3],
10189  [0,1,3]
10190  ],
10191  [
10192  [0,1],
10193  [0,2],
10194  [0,3],
10195  [0,4],
10196  [1,3],
10197  [1,4],
10198  [1,5],
10199  [2,6],
10200  [2,7],
10201  [2,8],
10202  [3,6],
10203  [3,9],
10204  [4,7],
10205  [4,10],
10206  [5,9],
10207  [5,10],
10208  [5,11],
10209  [6,8],
10210  [6,12],
10211  [7,8],
10212  [7,13],
10213  [8,14],
10214  [9,11],
10215  [9,15],
10216  [10,11],
10217  [10,16],
10218  [11,17],
10219  [12,14],
10220  [12,15],
10221  [12,18],
10222  [13,14],
10223  [13,16],
10224  [13,18],
10225  [14,18],
10226  [15,17],
10227  [15,19],
10228  [16,17],
10229  [16,19],
10230  [17,19],
10231  [18,19]
10232  ]
10233  ],
10234  [
10235  "pentagonal_orthobirotunda",
10236  "Pentagonal Orthobirotunda",
10237  "J34",
10238  "johnson",
10239  "Polyhedron Database #78",
10240  [
10241  [ 0.80901699437, -0.52573111212, 0.26286555606],
10242  [ 1.00000000000, -0.00000000000, 0.00000000000],
10243  [ 0.50000000000, -0.85065080835, -0.16245984812],
10244  [ 0.80901699437, -0.00000000000, 0.58778525229],
10245  [ 0.30901699437, -0.85065080835, 0.42532540418],
10246  [ 0.80901699437, -0.00000000000, -0.58778525229],
10247  [ 0.50000000000, -0.52573111212, -0.68819096024],
10248  [ 0.80901699437, 0.52573111212, 0.26286555606],
10249  [ 0.30901699438, 0.00000000000, 0.95105651630],
10250  [-0.00000000000, -0.85065080835, -0.52573111212],
10251  [-0.00000000000, -0.52573111212, 0.85065080835],
10252  [ 0.30901699437, -0.00000000000, -0.95105651630],
10253  [ 0.50000000000, 0.52573111212, -0.68819096024],
10254  [-0.30901699438, -0.85065080835, 0.42532540418],
10255  [ 0.50000000000, 0.85065080835, -0.16245984812],
10256  [ 0.30901699438, 0.85065080835, 0.42532540418],
10257  [-0.50000000000, -0.85065080835, -0.16245984812],
10258  [ 0.00000000000, 0.52573111212, 0.85065080835],
10259  [-0.30901699437, 0.00000000000, 0.95105651630],
10260  [-0.50000000000, -0.52573111212, -0.68819096024],
10261  [-0.30901699438, 0.00000000000, -0.95105651630],
10262  [ 0.00000000000, 0.85065080835, -0.52573111212],
10263  [-0.80901699437, -0.52573111212, 0.26286555606],
10264  [-0.30901699437, 0.85065080835, 0.42532540418],
10265  [-0.80901699437, 0.00000000000, 0.58778525229],
10266  [-0.50000000000, 0.52573111212, -0.68819096024],
10267  [-0.80901699437, 0.00000000000, -0.58778525229],
10268  [-0.50000000000, 0.85065080835, -0.16245984812],
10269  [-1.00000000000, 0.00000000000, 0.00000000000],
10270  [-0.80901699437, 0.52573111212, 0.26286555606]
10271  ],
10272  [
10273  [1.00000000000, -33.01739809414, 74.75983771732],
10274  [1.00000000000, -0.00000000001, 89.99999999999],
10275  [1.00000000000, -59.55361568294, 99.34970354257],
10276  [1.00000000000, -0.00000000001, 54.00000000000],
10277  [1.00000000000, -70.03537125612, 64.82873782805],
10278  [1.00000000000, -0.00000000001, 125.99999999999],
10279  [1.00000000000, -46.43699940043, 133.48707774551],
10280  [1.00000000000, 33.01739809413, 74.75983771732],
10281  [1.00000000000, 0.00000000000, 18.00000000000],
10282  [1.00000000000, -90.00000000000, 121.71747441145],
10283  [1.00000000000, -90.00000000000, 31.71747441146],
10284  [1.00000000000, -0.00000000002, 161.99999999999],
10285  [1.00000000000, 46.43699940041, 133.48707774551],
10286  [1.00000000000, -109.96462874389, 64.82873782806],
10287  [1.00000000000, 59.55361568292, 99.34970354257],
10288  [1.00000000000, 70.03537125611, 64.82873782806],
10289  [1.00000000000, -120.44638431706, 99.34970354256],
10290  [1.00000000000, 89.99999999998, 31.71747441146],
10291  [1.00000000000, 179.99999999997, 18.00000000000],
10292  [1.00000000000, -133.56300059957, 133.48707774551],
10293  [1.00000000000, 179.99999999999, 161.99999999999],
10294  [1.00000000000, 89.99999999998, 121.71747441145],
10295  [1.00000000000, -146.98260190586, 74.75983771731],
10296  [1.00000000000, 109.96462874387, 64.82873782806],
10297  [1.00000000000, 179.99999999998, 54.00000000000],
10298  [1.00000000000, 133.56300059956, 133.48707774552],
10299  [1.00000000000, 179.99999999998, 125.99999999999],
10300  [1.00000000000, 120.44638431705, 99.34970354257],
10301  [1.00000000000, 179.99999999998, 89.99999999999],
10302  [1.00000000000, 146.98260190584, 74.75983771732]
10303  ],
10304  [
10305  [23,27,21,14,15],
10306  [7,3,8,17,15],
10307  [14,7,15],
10308  [1,3,7],
10309  [12,5,1,7,14],
10310  [21,12,14],
10311  [11,5,12],
10312  [25,20,11,12,21],
10313  [27,25,21],
10314  [26,20,25],
10315  [29,28,26,25,27],
10316  [23,29,27],
10317  [24,28,29],
10318  [17,18,24,29,23],
10319  [15,17,23],
10320  [8,18,17],
10321  [2,9,16,13,4],
10322  [10,8,3,0,4],
10323  [13,10,4],
10324  [18,8,10],
10325  [22,24,18,10,13],
10326  [16,22,13],
10327  [28,24,22],
10328  [19,26,28,22,16],
10329  [9,19,16],
10330  [20,26,19],
10331  [6,11,20,19,9],
10332  [2,6,9],
10333  [5,11,6],
10334  [0,1,5,6,2],
10335  [4,0,2],
10336  [3,1,0]
10337  ],
10338  [
10339  [0,1],
10340  [0,2],
10341  [0,3],
10342  [0,4],
10343  [1,3],
10344  [1,5],
10345  [1,7],
10346  [2,4],
10347  [2,6],
10348  [2,9],
10349  [3,7],
10350  [3,8],
10351  [4,10],
10352  [4,13],
10353  [5,6],
10354  [5,11],
10355  [5,12],
10356  [6,9],
10357  [6,11],
10358  [7,14],
10359  [7,15],
10360  [8,10],
10361  [8,17],
10362  [8,18],
10363  [9,16],
10364  [9,19],
10365  [10,13],
10366  [10,18],
10367  [11,12],
10368  [11,20],
10369  [12,14],
10370  [12,21],
10371  [13,16],
10372  [13,22],
10373  [14,15],
10374  [14,21],
10375  [15,17],
10376  [15,23],
10377  [16,19],
10378  [16,22],
10379  [17,18],
10380  [17,23],
10381  [18,24],
10382  [19,20],
10383  [19,26],
10384  [20,25],
10385  [20,26],
10386  [21,25],
10387  [21,27],
10388  [22,24],
10389  [22,28],
10390  [23,27],
10391  [23,29],
10392  [24,28],
10393  [24,29],
10394  [25,26],
10395  [25,27],
10396  [26,28],
10397  [27,29],
10398  [28,29]
10399  ]
10400  ],
10401  [
10402  "pentagonal_orthocupolarontunda",
10403  "Pentagonal Orthocupolarontunda",
10404  "J32",
10405  "johnson",
10406  "Polyhedron Database #76",
10407  [
10408  [-0.97859589772, -0.20579132385, 0.00000000000],
10409  [-0.79170071188, -0.20579132385, 0.57520423663],
10410  [-0.79170071188, -0.20579132385, -0.57520423663],
10411  [-0.48929794886, -0.52375640567, -0.15898254091],
10412  [-0.79170071188, 0.30868698577, 0.25723915481],
10413  [-0.30240276302, -0.52375640567, 0.41622169572],
10414  [-0.30240276302, -0.20579132385, 0.93070000534],
10415  [-0.30240276302, -0.20579132385, -0.93070000534],
10416  [-0.48929794886, 0.30868698577, -0.67346085053],
10417  [ 0.00000000000, -0.52375640567, -0.51447830962],
10418  [-0.48929794886, 0.62665206759, -0.15898254091],
10419  [-0.30240276302, 0.62665206759, 0.41622169572],
10420  [ 0.30240276302, -0.52375640567, 0.41622169572],
10421  [-0.00000000000, 0.30868698577, 0.83244339144],
10422  [ 0.30240276302, -0.20579132385, 0.93070000534],
10423  [ 0.48929794886, -0.52375640567, -0.15898254091],
10424  [ 0.30240276302, -0.20579132385, -0.93070000534],
10425  [-0.00000000000, 0.62665206759, -0.51447830962],
10426  [ 0.30240276302, 0.62665206759, 0.41622169572],
10427  [ 0.79170071188, -0.20579132385, 0.57520423663],
10428  [ 0.48929794886, 0.30868698577, -0.67346085053],
10429  [ 0.79170071188, -0.20579132385, -0.57520423663],
10430  [ 0.48929794886, 0.62665206759, -0.15898254091],
10431  [ 0.97859589772, -0.20579132385, 0.00000000000],
10432  [ 0.79170071188, 0.30868698577, 0.25723915481]
10433  ],
10434  [
10435  [1.00000000000, -168.12417369050, 89.99999999999],
10436  [1.00000000000, -165.42923163927, 54.88606373436],
10437  [1.00000000000, -165.42923163928, 125.11393626564],
10438  [0.73417212120, -133.05186834767, 102.50628389183],
10439  [0.88783424981, 158.69900890054, 73.15774001182],
10440  [0.73417212120, -120.00097314944, 55.46381573856],
10441  [1.00000000000, -145.76390424332, 21.45580279235],
10442  [1.00000000000, -145.76390424334, 158.54419720765],
10443  [0.88783424981, 147.75310142793, 139.33595894371],
10444  [0.73417212120, -89.99999999998, 134.48799477872],
10445  [0.81079019783, 127.98317333184, 101.30802279484],
10446  [0.81079019783, 115.76050865095, 59.11255988195],
10447  [0.73417212120, -59.99902685056, 55.46381573856],
10448  [0.88783424981, 90.00000000001, 20.34580761433],
10449  [1.00000000000, -34.23609575666, 21.45580279234],
10450  [0.73417212120, -46.94813165231, 102.50628389183],
10451  [1.00000000000, -34.23609575664, 158.54419720764],
10452  [0.81079019783, 89.99999999999, 129.38582952634],
10453  [0.81079019783, 64.23949134905, 59.11255988195],
10454  [1.00000000000, -14.57076836071, 54.88606373435],
10455  [0.88783424981, 32.24689857206, 139.33595894371],
10456  [1.00000000000, -14.57076836070, 125.11393626564],
10457  [0.81079019783, 52.01682666816, 101.30802279484],
10458  [1.00000000000, -11.87582630949, 89.99999999999],
10459  [0.88783424981, 21.30099109945, 73.15774001182]
10460  ],
10461  [
10462  [12,15,9,3,5],
10463  [0,1,5,3],
10464  [2,0,3],
10465  [7,2,3,9],
10466  [16,7,9],
10467  [21,16,9,15],
10468  [23,21,15],
10469  [19,23,15,12],
10470  [14,19,12],
10471  [6,14,12,5],
10472  [1,6,5],
10473  [11,10,17,22,18],
10474  [24,19,14,13,18],
10475  [22,24,18],
10476  [23,19,24],
10477  [20,21,23,24,22],
10478  [17,20,22],
10479  [16,21,20],
10480  [8,7,16,20,17],
10481  [10,8,17],
10482  [2,7,8],
10483  [4,0,2,8,10],
10484  [11,4,10],
10485  [1,0,4],
10486  [13,6,1,4,11],
10487  [18,13,11],
10488  [14,6,13]
10489  ],
10490  [
10491  [0,1],
10492  [0,2],
10493  [0,3],
10494  [0,4],
10495  [1,4],
10496  [1,5],
10497  [1,6],
10498  [2,3],
10499  [2,7],
10500  [2,8],
10501  [3,5],
10502  [3,9],
10503  [4,10],
10504  [4,11],
10505  [5,6],
10506  [5,12],
10507  [6,13],
10508  [6,14],
10509  [7,8],
10510  [7,9],
10511  [7,16],
10512  [8,10],
10513  [8,17],
10514  [9,15],
10515  [9,16],
10516  [10,11],
10517  [10,17],
10518  [11,13],
10519  [11,18],
10520  [12,14],
10521  [12,15],
10522  [12,19],
10523  [13,14],
10524  [13,18],
10525  [14,19],
10526  [15,21],
10527  [15,23],
10528  [16,20],
10529  [16,21],
10530  [17,20],
10531  [17,22],
10532  [18,22],
10533  [18,24],
10534  [19,23],
10535  [19,24],
10536  [20,21],
10537  [20,22],
10538  [21,23],
10539  [22,24],
10540  [23,24]
10541  ]
10542  ],
10543  [
10544  "pentagonal_pyramid",
10545  "Pentagonal Pyramid",
10546  "J2",
10547  "johnson",
10548  "Polyhedron Database #46",
10549  [
10550  [ 0.00000000000, 0.51231760759, 0.00000000000],
10551  [ 0.00000000000, -0.10246352152, 0.99473676254],
10552  [ 0.94605088002, -0.10246352152, 0.30739056456],
10553  [-0.94605088002, -0.10246352152, 0.30739056456],
10554  [ 0.58469159894, -0.10246352152, -0.80475894583],
10555  [-0.58469159894, -0.10246352152, -0.80475894583]
10556  ],
10557  [
10558  [0.51231760759, 89.99999999999, 89.99999999999],
10559  [1.00000000000, -89.99999999999, 5.88104874729],
10560  [1.00000000000, -6.18141426337, 72.09795604403],
10561  [1.00000000000, -173.81858573661, 72.09795604404],
10562  [1.00000000000, -9.93979324212, 143.58698182134],
10563  [1.00000000000, -170.06020675786, 143.58698182134]
10564  ],
10565  [
10566  [0,2,1],
10567  [0,5,4],
10568  [0,4,2],
10569  [0,1,3],
10570  [0,3,5],
10571  [1,2,4,5,3]
10572  ],
10573  [
10574  [0,1],
10575  [0,2],
10576  [0,3],
10577  [0,4],
10578  [0,5],
10579  [1,2],
10580  [1,3],
10581  [2,4],
10582  [3,5],
10583  [4,5]
10584  ]
10585  ],
10586  [
10587  "pentagonal_rotunda",
10588  "Pentagonal Rotunda",
10589  "J6",
10590  "johnson",
10591  "Polyhedron Database #50",
10592  [
10593  [-0.29220218217, -0.32537191156, -0.89930584559],
10594  [-0.47279306233, 0.17175213337, -0.65074382312],
10595  [-0.76499524450, -0.32537191156, -0.55580157885],
10596  [ 0.29220218217, -0.32537191156, -0.89930584559],
10597  [-0.00000000000, 0.47899168976, -0.49712404493],
10598  [ 0.47279306233, 0.17175213337, -0.65074382312],
10599  [-0.47279306233, 0.47899168976, -0.15361977820],
10600  [-0.94558612467, -0.32537191156, -0.00000000000],
10601  [ 0.76499524450, -0.32537191156, -0.55580157885],
10602  [ 0.47279306233, 0.47899168976, -0.15361977819],
10603  [-0.76499524450, 0.17175213337, 0.24856202246],
10604  [-0.29220218217, 0.47899168976, 0.40218180066],
10605  [ 0.29220218217, 0.47899168976, 0.40218180066],
10606  [-0.76499524450, -0.32537191156, 0.55580157885],
10607  [ 0.94558612467, -0.32537191156, 0.00000000000],
10608  [ 0.76499524450, 0.17175213337, 0.24856202246],
10609  [-0.00000000000, 0.17175213337, 0.80436360132],
10610  [-0.29220218217, -0.32537191156, 0.89930584559],
10611  [ 0.76499524450, -0.32537191156, 0.55580157885],
10612  [ 0.29220218217, -0.32537191156, 0.89930584559]
10613  ],
10614  [
10615  [1.00000000000, -131.92561392578, 154.06697321909],
10616  [0.82249595649, 160.03537125611, 142.29608915044],
10617  [1.00000000000, -156.95871796350, 123.76594330353],
10618  [1.00000000000, -48.07438607416, 154.06697321908],
10619  [0.69033713133, 89.99999999999, 136.06420572229],
10620  [0.82249595649, 19.96462874388, 142.29608915042],
10621  [0.69033713133, 134.62685873238, 102.85759532880],
10622  [1.00000000000, -161.01189134548, 90.00000000000],
10623  [1.00000000000, -23.04128203647, 123.76594330352],
10624  [0.69033713133, 45.37314126762, 102.85759532877],
10625  [0.82249595649, 167.34612388850, 72.40993812016],
10626  [0.69033713133, 121.38469498319, 54.36725809145],
10627  [0.69033713133, 58.61530501681, 54.36725809145],
10628  [1.00000000000, -156.95871796352, 56.23405669646],
10629  [1.00000000000, -18.98810865450, 89.99999999999],
10630  [0.82249595649, 12.65387611150, 72.40993812013],
10631  [0.82249595649, 89.99999999999, 12.05310532627],
10632  [1.00000000000, -131.92561392583, 25.93302678090],
10633  [1.00000000000, -23.04128203647, 56.23405669645],
10634  [1.00000000000, -48.07438607417, 25.93302678088]
10635  ],
10636  [
10637  [7,13,17,19,18,14,8,3,0,2],
10638  [6,4,9,12,11],
10639  [16,17,13,10,11],
10640  [12,16,11],
10641  [19,17,16],
10642  [15,18,19,16,12],
10643  [9,15,12],
10644  [14,18,15],
10645  [5,8,14,15,9],
10646  [4,5,9],
10647  [3,8,5],
10648  [1,0,3,5,4],
10649  [6,1,4],
10650  [2,0,1],
10651  [10,7,2,1,6],
10652  [11,10,6],
10653  [13,7,10]
10654  ],
10655  [
10656  [0,1],
10657  [0,2],
10658  [0,3],
10659  [1,2],
10660  [1,4],
10661  [1,6],
10662  [2,7],
10663  [3,5],
10664  [3,8],
10665  [4,5],
10666  [4,6],
10667  [4,9],
10668  [5,8],
10669  [5,9],
10670  [6,10],
10671  [6,11],
10672  [7,10],
10673  [7,13],
10674  [8,14],
10675  [9,12],
10676  [9,15],
10677  [10,11],
10678  [10,13],
10679  [11,12],
10680  [11,16],
10681  [12,15],
10682  [12,16],
10683  [13,17],
10684  [14,15],
10685  [14,18],
10686  [15,18],
10687  [16,17],
10688  [16,19],
10689  [17,19],
10690  [18,19]
10691  ]
10692  ],
10693  [
10694  "snub_disphenoid",
10695  "Snub Disphenoid",
10696  "J84",
10697  "johnson",
10698  "Polyhedron Database #128",
10699  [
10700  [ 0.00000000000, -0.84283351224, -0.53775339178],
10701  [ 0.69326703905, -0.22094137669, 0.00026677772],
10702  [-0.00000000000, -0.84310218220, 0.53775339178],
10703  [ 0.00028497351, 0.22102981081, -0.69305025916],
10704  [-0.00014605391, 0.22110974715, 0.69321339349],
10705  [ 0.53754860652, 0.84323276157, 0.00007378079],
10706  [-0.69299662942, -0.22119808183, -0.00002037069],
10707  [-0.53795793575, 0.84270283344, -0.00048332214]
10708  ],
10709  [
10710  [0.99977349421, -89.99999999999, 122.53911291991],
10711  [0.72762239557, -17.67686815088, 89.97899289847],
10712  [1.00000000000, -89.99999999999, 57.46916694571],
10713  [0.72744272641, 89.92612865103, 162.31129699367],
10714  [0.72762239557, 90.03784668607, 17.69078660021],
10715  [1.00000000000, 57.48308262375, 89.99577267229],
10716  [0.72744272641, -162.29740035216, 90.00160446282],
10717  [0.99977349421, 122.55302315979, 90.02769859374]
10718  ],
10719  [
10720  [3,7,6],
10721  [5,7,3],
10722  [1,5,3],
10723  [6,7,4],
10724  [5,4,7],
10725  [1,4,5],
10726  [1,2,4],
10727  [0,2,1],
10728  [3,0,1],
10729  [4,2,6],
10730  [0,6,2],
10731  [3,6,0]
10732  ],
10733  [
10734  [0,1],
10735  [0,2],
10736  [0,3],
10737  [0,6],
10738  [1,2],
10739  [1,3],
10740  [1,4],
10741  [1,5],
10742  [2,4],
10743  [2,6],
10744  [3,5],
10745  [3,6],
10746  [3,7],
10747  [4,5],
10748  [4,6],
10749  [4,7],
10750  [5,7],
10751  [6,7]
10752  ]
10753  ],
10754  [
10755  "snub_square_antiprism",
10756  "Snub Square Antiprism",
10757  "J85",
10758  "johnson",
10759  "Polyhedron Database #129",
10760  [
10761  [ 0.69897419247, -0.15122858467, -0.69897424376],
10762  [ 0.00000000000, 0.15122995753, -0.98849860898],
10763  [ 0.40739112242, 0.55150159459, -0.40739099521],
10764  [ 0.98849856935, 0.15122947501, -0.00000010945],
10765  [ 0.00000025688, -0.55150079443, -0.57613872651],
10766  [-0.40739178266, 0.55150112587, -0.40739076769],
10767  [ 0.57613858381, -0.55150079443, -0.00000001868],
10768  [-0.69897384132, -0.15122890635, -0.69897436488],
10769  [ 0.40739134994, 0.55150046300, 0.40739190987],
10770  [ 0.69897407135, -0.15122936127, 0.69897379003],
10771  [-0.40739155514, 0.55149999428, 0.40739213739],
10772  [-0.57613845095, -0.55150079443, -0.00000039958],
10773  [-0.98849849952, 0.15122879262, -0.00000003963],
10774  [-0.00000012402, -0.55150079443, 0.57613830825],
10775  [ 0.00000006983, 0.15122831010, 0.98849845990],
10776  [-0.69897396243, -0.15122968295, 0.69897366891]
10777  ],
10778  [
10779  [1.00000000000, -12.20822353109, 134.34476525818],
10780  [1.00000000000, 89.99999999999, 171.30178888258],
10781  [0.79755185314, 53.54692658375, 120.71725810997],
10782  [0.99999988786, 8.69818413241, 90.00000627123],
10783  [0.79755185314, -89.99997331269, 136.25166325658],
10784  [0.79755175005, 126.45314106607, 120.71724349746],
10785  [0.79755175005, -43.74834383206, 90.00000134168],
10786  [0.99999988786, -167.79174533025, 134.34478124187],
10787  [0.79755165408, 53.54685510687, 59.28265696064],
10788  [0.99999971564, -12.20828639554, 45.65525516955],
10789  [0.79755155100, 126.45318195780, 59.28263354814],
10790  [0.79755165408, -136.25164956798, 90.00002870530],
10791  [0.99999971564, 171.30185391070, 90.00000227042],
10792  [0.79755155100, -90.00001288452, 43.74835752067],
10793  [0.99999960350, 89.99997354423, 8.69811910429],
10794  [0.99999960350, -167.79168656983, 45.65525859340]
10795  ],
10796  [
10797  [6,4,11,13],
10798  [14,9,13],
10799  [6,13,9],
10800  [3,6,9],
10801  [12,15,11],
10802  [13,11,15],
10803  [14,13,15],
10804  [1,7,4],
10805  [11,4,7],
10806  [12,11,7],
10807  [3,0,6],
10808  [4,6,0],
10809  [1,4,0],
10810  [8,10,5,2],
10811  [0,3,2],
10812  [8,2,3],
10813  [9,8,3],
10814  [7,1,5],
10815  [2,5,1],
10816  [0,2,1],
10817  [15,12,10],
10818  [5,10,12],
10819  [7,5,12],
10820  [9,14,8],
10821  [10,8,14],
10822  [15,10,14]
10823  ],
10824  [
10825  [0,1],
10826  [0,2],
10827  [0,3],
10828  [0,4],
10829  [0,6],
10830  [1,2],
10831  [1,4],
10832  [1,5],
10833  [1,7],
10834  [2,3],
10835  [2,5],
10836  [2,8],
10837  [3,6],
10838  [3,8],
10839  [3,9],
10840  [4,6],
10841  [4,7],
10842  [4,11],
10843  [5,7],
10844  [5,10],
10845  [5,12],
10846  [6,9],
10847  [6,13],
10848  [7,11],
10849  [7,12],
10850  [8,9],
10851  [8,10],
10852  [8,14],
10853  [9,13],
10854  [9,14],
10855  [10,12],
10856  [10,14],
10857  [10,15],
10858  [11,12],
10859  [11,13],
10860  [11,15],
10861  [12,15],
10862  [13,14],
10863  [13,15],
10864  [14,15]
10865  ]
10866  ],
10867  [
10868  "sphenocorona",
10869  "Sphenocorona",
10870  "J86",
10871  "johnson",
10872  "Polyhedron Database #130",
10873  [
10874  [-0.85403606889, -0.14090095692, -0.50076872245],
10875  [-0.85403606889, -0.14090095692, 0.50076872245],
10876  [-0.50076681316, 0.65125231843, 0.00000029828],
10877  [-0.00000018523, 0.29461011438, -0.79064155301],
10878  [-0.00000000000, -0.66406067604, -0.50076783510],
10879  [ 0.00000000000, -0.66406067604, 0.50076783510],
10880  [-0.00000007600, 0.29461011438, 0.79064155301],
10881  [ 0.50076740481, 0.65125209317, -0.00000029828],
10882  [ 0.85403590368, -0.14090068722, -0.50076783510],
10883  [ 0.85403590368, -0.14090068722, 0.50076783510]
10884  ],
10885  [
10886  [1.00000000000, -170.63159419601, 120.05087131307],
10887  [1.00000000000, -170.63159419601, 59.94912868691],
10888  [0.82152113997, 127.55772895056, 89.99997919682],
10889  [0.84374710954, 90.00003602392, 159.56352007927],
10890  [0.83171209329, -89.99999999999, 127.01992849259],
10891  [0.83171209329, -89.99999999999, 52.98007150740],
10892  [0.84374710954, 90.00001478077, 20.43647992072],
10893  [0.82152132205, 52.44222876176, 90.00002080316],
10894  [0.99999937655, -9.36838996980, 120.05083324218],
10895  [0.99999937655, -9.36838996980, 59.94916675783]
10896  ],
10897  [
10898  [5,4,0,1],
10899  [9,8,4,5],
10900  [2,3,7],
10901  [6,1,2],
10902  [0,3,2],
10903  [1,0,2],
10904  [6,5,1],
10905  [9,5,6],
10906  [0,4,3],
10907  [8,3,4],
10908  [6,7,9],
10909  [7,8,9],
10910  [3,8,7],
10911  [2,7,6]
10912  ],
10913  [
10914  [0,1],
10915  [0,2],
10916  [0,3],
10917  [0,4],
10918  [1,2],
10919  [1,5],
10920  [1,6],
10921  [2,3],
10922  [2,6],
10923  [2,7],
10924  [3,4],
10925  [3,7],
10926  [3,8],
10927  [4,5],
10928  [4,8],
10929  [5,6],
10930  [5,9],
10931  [6,7],
10932  [6,9],
10933  [7,8],
10934  [7,9],
10935  [8,9]
10936  ]
10937  ],
10938  [
10939  "sphenomegacorona",
10940  "Sphenomegacorona",
10941  "J88",
10942  "johnson",
10943  "Polyhedron Database #132",
10944  [
10945  [-0.38062673459, -0.07568233029, -0.45266707378],
10946  [-0.65067556375, 0.47356515451, -0.00000000115],
10947  [ 0.00000002502, 0.57963465654, -0.38062644927],
10948  [-0.97676588021, -0.21430915812, -0.00000007292],
10949  [ 0.38062679410, -0.07568233029, -0.45266702374],
10950  [-0.38062676435, -0.68772767221, -0.00000005004],
10951  [-0.00000002502, 0.58003807863, 0.38062644927],
10952  [-0.38062679410, -0.07568236147, 0.45266701586],
10953  [ 0.65067556375, 0.47356515451, 0.00000008439],
10954  [ 0.38062676435, -0.68772767221, 0.00000000000],
10955  [ 0.38062673459, -0.07568236147, 0.45266706590],
10956  [ 0.97676588021, -0.21430915812, 0.00000005549]
10957  ],
10958  [
10959  [0.59624827538, -168.75420429327, 139.39304068534],
10960  [0.80476247727, 143.95267199098, 90.00000008217],
10961  [0.69343552617, 89.99999752684, 123.29155031251],
10962  [1.00000000000, -167.62499970338, 90.00000417805],
10963  [0.59624827538, -11.24579399326, 139.39303329753],
10964  [0.78603185995, -118.96258267297, 90.00000364750],
10965  [0.69377277732, 90.00000247142, 56.72673733898],
10966  [0.59624827335, -168.75420149171, 40.60696763902],
10967  [0.80476247727, 36.04732800900, 89.99999399195],
10968  [0.78603185995, -61.03741732702, 89.99999999999],
10969  [0.59624827335, -11.24580022175, 40.60696025120],
10970  [1.00000000000, -12.37500029661, 89.99999682062]
10971  ],
10972  [
10973  [10,9,5,7],
10974  [10,7,6],
10975  [1,7,3],
10976  [7,5,3],
10977  [8,11,10],
10978  [11,9,10],
10979  [6,7,1],
10980  [8,10,6],
10981  [0,5,9,4],
10982  [0,4,2],
10983  [8,4,11],
10984  [4,9,11],
10985  [1,3,0],
10986  [3,5,0],
10987  [6,2,8],
10988  [2,4,8],
10989  [6,1,2],
10990  [1,0,2]
10991  ],
10992  [
10993  [0,1],
10994  [0,2],
10995  [0,3],
10996  [0,4],
10997  [0,5],
10998  [1,2],
10999  [1,3],
11000  [1,6],
11001  [1,7],
11002  [2,4],
11003  [2,6],
11004  [2,8],
11005  [3,5],
11006  [3,7],
11007  [4,8],
11008  [4,9],
11009  [4,11],
11010  [5,7],
11011  [5,9],
11012  [6,7],
11013  [6,8],
11014  [6,10],
11015  [7,10],
11016  [8,10],
11017  [8,11],
11018  [9,10],
11019  [9,11],
11020  [10,11]
11021  ]
11022  ],
11023  [
11024  "square_cupola",
11025  "Square Cupola",
11026  "J4",
11027  "johnson",
11028  "Polyhedron Database #48",
11029  [
11030  [-0.90920355930, -0.17753303803, -0.37660444522],
11031  [-0.90920355930, -0.17753303803, 0.37660444522],
11032  [-0.37660444522, 0.35506607605, -0.37660444522],
11033  [-0.37660444522, 0.35506607605, 0.37660444522],
11034  [-0.37660444522, -0.17753303803, -0.90920355930],
11035  [-0.37660444522, -0.17753303803, 0.90920355930],
11036  [ 0.37660444522, 0.35506607605, -0.37660444522],
11037  [ 0.37660444522, 0.35506607605, 0.37660444522],
11038  [ 0.37660444522, -0.17753303803, -0.90920355930],
11039  [ 0.37660444522, -0.17753303803, 0.90920355930],
11040  [ 0.90920355930, -0.17753303803, -0.37660444522],
11041  [ 0.90920355930, -0.17753303803, 0.37660444522]
11042  ],
11043  [
11044  [1.00000000000, -168.95132206550, 112.12351211134],
11045  [1.00000000000, -168.95132206551, 67.87648788864],
11046  [0.64010447170, 136.68614334171, 126.03989343030],
11047  [0.64010447170, 136.68614334171, 53.96010656970],
11048  [1.00000000000, -154.76059817930, 155.39552032235],
11049  [1.00000000000, -154.76059817931, 24.60447967764],
11050  [0.64010447170, 43.31385665828, 126.03989343029],
11051  [0.64010447170, 43.31385665828, 53.96010656970],
11052  [1.00000000000, -25.23940182068, 155.39552032235],
11053  [1.00000000000, -25.23940182066, 24.60447967763],
11054  [1.00000000000, -11.04867793448, 112.12351211135],
11055  [1.00000000000, -11.04867793448, 67.87648788864]
11056  ],
11057  [
11058  [0,1,5,9,11,10,8,4],
11059  [6,7,3,2],
11060  [1,0,2,3],
11061  [5,1,3],
11062  [9,5,3,7],
11063  [11,9,7],
11064  [10,11,7,6],
11065  [8,10,6],
11066  [4,8,6,2],
11067  [0,4,2]
11068  ],
11069  [
11070  [0,1],
11071  [0,2],
11072  [0,4],
11073  [1,3],
11074  [1,5],
11075  [2,3],
11076  [2,4],
11077  [2,6],
11078  [3,5],
11079  [3,7],
11080  [4,8],
11081  [5,9],
11082  [6,7],
11083  [6,8],
11084  [6,10],
11085  [7,9],
11086  [7,11],
11087  [8,10],
11088  [9,11],
11089  [10,11]
11090  ]
11091  ],
11092  [
11093  "square_gyrobicupola",
11094  "Square Gyrobicupola",
11095  "J29",
11096  "johnson",
11097  "Polyhedron Database #73",
11098  [
11099  [ 0.38268343237, 0.00000000000, 0.92387953251],
11100  [-0.38268343237, -0.00000000000, 0.92387953251],
11101  [ 0.92387953251, 0.00000000000, 0.38268343237],
11102  [ 0.38268343237, 0.54119610015, 0.38268343237],
11103  [ 0.00000000000, -0.54119610015, 0.54119610015],
11104  [-0.38268343237, 0.54119610015, 0.38268343237],
11105  [-0.92387953251, -0.00000000000, 0.38268343237],
11106  [ 0.54119610015, -0.54119610015, -0.00000000000],
11107  [ 0.92387953251, 0.00000000000, -0.38268343237],
11108  [ 0.38268343237, 0.54119610015, -0.38268343237],
11109  [-0.54119610015, -0.54119610015, 0.00000000000],
11110  [-0.38268343237, 0.54119610015, -0.38268343237],
11111  [ 0.00000000000, -0.54119610015, -0.54119610015],
11112  [-0.92387953251, -0.00000000000, -0.38268343237],
11113  [ 0.38268343237, 0.00000000000, -0.92387953251],
11114  [-0.38268343237, 0.00000000000, -0.92387953251]
11115  ],
11116  [
11117  [1.00000000000, 0.00000000000, 22.50000000000],
11118  [1.00000000000, -179.99999999997, 22.49999999999],
11119  [1.00000000000, 0.00000000001, 67.50000000000],
11120  [0.76536686473, 54.73561031725, 60.00000000000],
11121  [0.76536686473, -89.99999999998, 45.00000000000],
11122  [0.76536686473, 125.26438968275, 60.00000000000],
11123  [1.00000000000, -179.99999999998, 67.49999999999],
11124  [0.76536686473, -44.99999999999, 89.99999999999],
11125  [1.00000000000, 0.00000000001, 112.50000000000],
11126  [0.76536686473, 54.73561031725, 119.99999999999],
11127  [0.76536686473, -134.99999999999, 89.99999999999],
11128  [0.76536686473, 125.26438968275, 119.99999999999],
11129  [0.76536686473, -89.99999999999, 135.00000000000],
11130  [1.00000000000, -179.99999999998, 112.49999999999],
11131  [1.00000000000, 0.00000000001, 157.50000000000],
11132  [1.00000000000, 179.99999999999, 157.49999999999]
11133  ],
11134  [
11135  [12,10,4,7],
11136  [0,2,7,4],
11137  [1,0,4],
11138  [6,1,4,10],
11139  [13,6,10],
11140  [15,13,10,12],
11141  [14,15,12],
11142  [8,14,12,7],
11143  [2,8,7],
11144  [11,9,3,5],
11145  [0,1,5,3],
11146  [2,0,3],
11147  [8,2,3,9],
11148  [14,8,9],
11149  [15,14,9,11],
11150  [13,15,11],
11151  [6,13,11,5],
11152  [1,6,5]
11153  ],
11154  [
11155  [0,1],
11156  [0,2],
11157  [0,3],
11158  [0,4],
11159  [1,4],
11160  [1,5],
11161  [1,6],
11162  [2,3],
11163  [2,7],
11164  [2,8],
11165  [3,5],
11166  [3,9],
11167  [4,7],
11168  [4,10],
11169  [5,6],
11170  [5,11],
11171  [6,10],
11172  [6,13],
11173  [7,8],
11174  [7,12],
11175  [8,9],
11176  [8,14],
11177  [9,11],
11178  [9,14],
11179  [10,12],
11180  [10,13],
11181  [11,13],
11182  [11,15],
11183  [12,14],
11184  [12,15],
11185  [13,15],
11186  [14,15]
11187  ]
11188  ],
11189  [
11190  "square_orthobicupola",
11191  "square orthobicupola",
11192  "J28",
11193  "johnson",
11194  "Polyhedron Database #72",
11195  [
11196  [ 0.38268343237, 0.00000000000, -0.92387953251],
11197  [-0.38268343237, 0.00000000000, -0.92387953251],
11198  [ 0.92387953251, -0.00000000000, -0.38268343237],
11199  [ 0.38268343237, -0.54119610015, -0.38268343237],
11200  [ 0.38268343237, 0.54119610015, -0.38268343237],
11201  [-0.38268343237, -0.54119610015, -0.38268343237],
11202  [-0.38268343237, 0.54119610015, -0.38268343237],
11203  [-0.92387953251, 0.00000000000, -0.38268343237],
11204  [ 0.92387953251, 0.00000000000, 0.38268343237],
11205  [ 0.38268343237, -0.54119610015, 0.38268343237],
11206  [ 0.38268343237, 0.54119610015, 0.38268343237],
11207  [-0.38268343237, -0.54119610015, 0.38268343237],
11208  [-0.38268343237, 0.54119610015, 0.38268343237],
11209  [-0.92387953251, 0.00000000000, 0.38268343237],
11210  [ 0.38268343237, 0.00000000000, 0.92387953251],
11211  [-0.38268343237, 0.00000000000, 0.92387953251]
11212  ],
11213  [
11214  [1.00000000000, 0.00000000000, 157.49999999999],
11215  [1.00000000000, 179.99999999999, 157.49999999999],
11216  [1.00000000000, -0.00000000001, 112.49999999999],
11217  [0.76536686473, -54.73561031725, 119.99999999999],
11218  [0.76536686473, 54.73561031725, 119.99999999999],
11219  [0.76536686473, -125.26438968274, 119.99999999999],
11220  [0.76536686473, 125.26438968274, 119.99999999999],
11221  [1.00000000000, 179.99999999999, 112.49999999999],
11222  [1.00000000000, 0.00000000000, 67.50000000000],
11223  [0.76536686473, -54.73561031725, 60.00000000000],
11224  [0.76536686473, 54.73561031725, 60.00000000000],
11225  [0.76536686473, -125.26438968274, 59.99999999999],
11226  [0.76536686473, 125.26438968274, 59.99999999999],
11227  [1.00000000000, 179.99999999998, 67.50000000000],
11228  [1.00000000000, 0.00000000000, 22.50000000000],
11229  [1.00000000000, 179.99999999999, 22.50000000000]
11230  ],
11231  [
11232  [11,9,3,5],
11233  [0,1,5,3],
11234  [2,0,3],
11235  [8,2,3,9],
11236  [14,8,9],
11237  [15,14,9,11],
11238  [13,15,11],
11239  [7,13,11,5],
11240  [1,7,5],
11241  [10,12,6,4],
11242  [1,0,4,6],
11243  [7,1,6],
11244  [13,7,6,12],
11245  [15,13,12],
11246  [14,15,12,10],
11247  [8,14,10],
11248  [2,8,10,4],
11249  [0,2,4]
11250  ],
11251  [
11252  [0,1],
11253  [0,2],
11254  [0,3],
11255  [0,4],
11256  [1,5],
11257  [1,6],
11258  [1,7],
11259  [2,3],
11260  [2,4],
11261  [2,8],
11262  [3,5],
11263  [3,9],
11264  [4,6],
11265  [4,10],
11266  [5,7],
11267  [5,11],
11268  [6,7],
11269  [6,12],
11270  [7,13],
11271  [8,9],
11272  [8,10],
11273  [8,14],
11274  [9,11],
11275  [9,14],
11276  [10,12],
11277  [10,14],
11278  [11,13],
11279  [11,15],
11280  [12,13],
11281  [12,15],
11282  [13,15],
11283  [14,15]
11284  ]
11285  ],
11286  [
11287  "square_pyramid",
11288  "Square Pyramid",
11289  "J1",
11290  "johnson",
11291  "Exact Mathematics",
11292  [
11293  [ 0.00000000000, 1.00000000000, 0.00000000000],
11294  [-1.00000000000, 0.00000000000, 0.00000000000],
11295  [ 0.00000000000, 0.00000000000, -1.00000000000],
11296  [ 1.00000000000, 0.00000000000, 0.00000000000],
11297  [ 0.00000000000, 0.00000000000, 1.00000000000]
11298  ],
11299  [
11300  [1.00000000000, 89.99999999999, 89.99999999999],
11301  [1.00000000000, 179.99999999999, 89.99999999999],
11302  [1.00000000000, 0.00000000000, 179.99999999999],
11303  [1.00000000000, 0.00000000000, 89.99999999999],
11304  [1.00000000000, 0.00000000000, 0.00000000000]
11305  ],
11306  [
11307  [0,1,2],
11308  [0,2,3],
11309  [0,3,4],
11310  [0,4,1],
11311  [4,3,2,1]
11312  ],
11313  [
11314  [0,1],
11315  [0,2],
11316  [0,3],
11317  [0,4],
11318  [1,2],
11319  [1,4],
11320  [2,3],
11321  [3,4]
11322  ]
11323  ],
11324  [
11325  "triangular_cupola",
11326  "Triangular Cupola",
11327  "J3",
11328  "johnson",
11329  "Polyhedron Database #47",
11330  [
11331  [ 0.48245064068, -0.26261286572, 0.83562902180],
11332  [ 0.96490128135, -0.26261286572, 0.00000000000],
11333  [ 0.48245064068, 0.52522573144, 0.27854300727],
11334  [-0.48245064068, -0.26261286572, 0.83562902180],
11335  [-0.48245064068, 0.52522573144, 0.27854300727],
11336  [ 0.48245064068, -0.26261286572, -0.83562902180],
11337  [ 0.00000000000, 0.52522573144, -0.55708601453],
11338  [-0.96490128135, -0.26261286572, -0.00000000000],
11339  [-0.48245064068, -0.26261286572, -0.83562902180]
11340  ],
11341  [
11342  [1.00000000000, -28.56082521782, 33.31860684000],
11343  [1.00000000000, -15.22515701068, 89.99999999999],
11344  [0.76564149349, 47.43070269790, 68.66603725294],
11345  [1.00000000000, -151.43917478219, 33.31860684000],
11346  [0.76564149349, 132.56929730209, 68.66603725295],
11347  [1.00000000000, -28.56082521781, 146.68139315999],
11348  [0.76564149349, 89.99999999999, 136.68614334171],
11349  [1.00000000000, -164.77484298931, 90.00000000000],
11350  [1.00000000000, -151.43917478217, 146.68139315999]
11351  ],
11352  [
11353  [1,5,8,7,3,0],
11354  [4,6,2],
11355  [5,1,2,6],
11356  [8,5,6],
11357  [7,8,6,4],
11358  [3,7,4],
11359  [0,3,4,2],
11360  [1,0,2]
11361  ],
11362  [
11363  [0,1],
11364  [0,2],
11365  [0,3],
11366  [1,2],
11367  [1,5],
11368  [2,4],
11369  [2,6],
11370  [3,4],
11371  [3,7],
11372  [4,6],
11373  [4,7],
11374  [5,6],
11375  [5,8],
11376  [6,8],
11377  [7,8]
11378  ]
11379  ],
11380  [
11381  "triangular_dipyramid",
11382  "Triangular Dipyramid",
11383  "J12",
11384  "johnson",
11385  "Exact Mathematics",
11386  [
11387  [ 0.00000000000, 1.00000000000, 0.00000000000],
11388  [-0.61237243570, 0.00000000000, 0.35355339059],
11389  [ 0.61237243570, 0.00000000000, 0.35355339059],
11390  [ 0.00000000000, 0.00000000000, -0.70710678119],
11391  [ 0.00000000000, -1.00000000000, 0.00000000000]
11392  ],
11393  [
11394  [1.00000000000, 89.99999999999, 89.99999999999],
11395  [0.70710678119, 179.99999999999, 59.99999999999],
11396  [0.70710678119, 0.00000000000, 59.99999999999],
11397  [0.70710678119, 0.00000000000, 179.99999999999],
11398  [1.00000000000, -89.99999999999, 89.99999999999]
11399  ],
11400  [
11401  [0,2,1],
11402  [0,1,3],
11403  [0,3,2],
11404  [4,1,2],
11405  [4,3,1],
11406  [4,2,3]
11407  ],
11408  [
11409  [0,1],
11410  [0,2],
11411  [0,3],
11412  [1,2],
11413  [1,3],
11414  [1,4],
11415  [2,3],
11416  [2,4],
11417  [3,4]
11418  ]
11419  ],
11420  [
11421  "triangular_hebesphenorotunda",
11422  "Triangular Hebesphenorotunda",
11423  "J92",
11424  "johnson",
11425  "Polyhedron Database #136",
11426  [
11427  [-0.33030426902, -0.43569508663, 0.57210377877],
11428  [-0.66060857153, -0.43569508663, 0.00000000055],
11429  [ 0.33030428777, -0.43569508663, 0.57210375093],
11430  [-0.86474803514, -0.05429283479, 0.49926252367],
11431  [-0.33030431724, -0.43569508663, -0.57210380551],
11432  [ 0.66060854206, -0.43569508663, -0.00000005513],
11433  [ 0.33030423955, -0.43569508663, -0.57210383335],
11434  [-0.33030449832, 0.18142681974, 0.80782441422],
11435  [ 0.86474804776, -0.05429283479, 0.49926245077],
11436  [ 0.33030436734, 0.18142672510, 0.80782416491],
11437  [-0.86474847801, 0.18142672510, -0.11786013753],
11438  [-0.00000005682, -0.05429283479, -0.99852505632],
11439  [-0.53444426109, 0.18142681974, -0.68996432181],
11440  [ 0.86474871520, 0.18142681974, -0.11786017428],
11441  [ 0.00000000000, 0.56282961963, 0.38140339437],
11442  [ 0.53444406646, 0.18142672510, -0.68996410925],
11443  [-0.33030479992, 0.56282956114, -0.19070155631],
11444  [ 0.33030502095, 0.56282920888, -0.19070142869]
11445  ],
11446  [
11447  [0.79134938702, -127.16608531772, 43.70165880957],
11448  [0.79134941290, -146.59371423888, 89.99999995994],
11449  [0.79134937471, -52.83391311595, 43.70166079553],
11450  [0.99999997187, -176.40742461325, 60.04877813013],
11451  [0.79134942648, -127.16608934514, 136.29834100287],
11452  [0.79134938829, -33.40628693591, 90.00000399191],
11453  [0.79134941417, -52.83391714338, 136.29834485270],
11454  [0.89140172579, 151.22126582657, 25.00911035272],
11455  [0.99999994638, -3.59257533445, 60.04878210920],
11456  [0.89140143206, 28.77873114833, 25.00910778612],
11457  [0.89140148015, 168.15103816748, 97.59783386698],
11458  [1.00000000000, -90.00005996535, 176.88771941200],
11459  [0.89140177502, 161.24928487827, 140.71642098684],
11460  [0.89140173437, 11.84896468079, 97.59783407018],
11461  [0.67988655669, 89.99999999999, 55.87633708196],
11462  [0.89140147454, 18.75071237490, 140.71642301870],
11463  [0.67988635765, 120.40716806194, 106.28947196340],
11464  [0.67988613763, 59.59279954772, 106.28946617754]
11465  ],
11466  [
11467  [15,17,16,12,11],
11468  [4,11,12],
11469  [4,6,11],
11470  [15,11,6],
11471  [5,13,15,6],
11472  [17,15,13],
11473  [9,14,17,13,8],
11474  [8,13,5],
11475  [8,5,2],
11476  [9,8,2],
11477  [14,9,7],
11478  [0,7,9,2],
11479  [17,14,16],
11480  [14,7,3,10,16],
11481  [7,0,3],
11482  [0,1,3],
11483  [10,3,1],
11484  [10,1,4,12],
11485  [16,10,12],
11486  [0,2,5,6,4,1]
11487  ],
11488  [
11489  [0,1],
11490  [0,2],
11491  [0,3],
11492  [0,7],
11493  [1,3],
11494  [1,4],
11495  [1,10],
11496  [2,5],
11497  [2,8],
11498  [2,9],
11499  [3,7],
11500  [3,10],
11501  [4,6],
11502  [4,11],
11503  [4,12],
11504  [5,6],
11505  [5,8],
11506  [5,13],
11507  [6,11],
11508  [6,15],
11509  [7,9],
11510  [7,14],
11511  [8,9],
11512  [8,13],
11513  [9,14],
11514  [10,12],
11515  [10,16],
11516  [11,12],
11517  [11,15],
11518  [12,16],
11519  [13,15],
11520  [13,17],
11521  [14,16],
11522  [14,17],
11523  [15,17],
11524  [16,17]
11525  ]
11526  ],
11527  [
11528  "triangular_orthobicupola",
11529  "Triangular Orthobicupola",
11530  "J27",
11531  "johnson",
11532  "Polyhedron Database #71",
11533  [
11534  [-0.50000000000, -0.00000000000, -0.86602540378],
11535  [ 0.50000000000, 0.00000000000, -0.86602540378],
11536  [ 0.00000000000, 0.81649658093, -0.57735026919],
11537  [ 0.00000000000, -0.81649658093, -0.57735026919],
11538  [-1.00000000000, -0.00000000000, -0.00000000000],
11539  [-0.50000000000, 0.81649658093, 0.28867513459],
11540  [-0.50000000000, -0.81649658093, 0.28867513459],
11541  [ 1.00000000000, 0.00000000000, 0.00000000000],
11542  [ 0.50000000000, 0.81649658093, 0.28867513459],
11543  [ 0.50000000000, -0.81649658093, 0.28867513459],
11544  [-0.50000000000, 0.00000000000, 0.86602540378],
11545  [ 0.50000000000, 0.00000000000, 0.86602540378]
11546  ],
11547  [
11548  [1.00000000000, -179.99999999998, 150.00000000000],
11549  [1.00000000000, 0.00000000000, 149.99999999998],
11550  [1.00000000000, 89.99999999999, 125.26438968275],
11551  [1.00000000000, -89.99999999999, 125.26438968275],
11552  [1.00000000000, -179.99999999998, 89.99999999999],
11553  [1.00000000000, 121.48215410529, 73.22134511904],
11554  [1.00000000000, -121.48215410529, 73.22134511904],
11555  [1.00000000000, 0.00000000001, 89.99999999999],
11556  [1.00000000000, 58.51784589470, 73.22134511903],
11557  [1.00000000000, -58.51784589470, 73.22134511903],
11558  [1.00000000000, 179.99999999999, 30.00000000000],
11559  [1.00000000000, 0.00000000001, 29.99999999999]
11560  ],
11561  [
11562  [8,5,2],
11563  [4,0,2,5],
11564  [10,4,5],
11565  [11,10,5,8],
11566  [7,11,8],
11567  [1,7,8,2],
11568  [0,1,2],
11569  [9,3,6],
11570  [0,4,6,3],
11571  [1,0,3],
11572  [7,1,3,9],
11573  [11,7,9],
11574  [10,11,9,6],
11575  [4,10,6]
11576  ],
11577  [
11578  [0,1],
11579  [0,2],
11580  [0,3],
11581  [0,4],
11582  [1,2],
11583  [1,3],
11584  [1,7],
11585  [2,5],
11586  [2,8],
11587  [3,6],
11588  [3,9],
11589  [4,5],
11590  [4,6],
11591  [4,10],
11592  [5,8],
11593  [5,10],
11594  [6,9],
11595  [6,10],
11596  [7,8],
11597  [7,9],
11598  [7,11],
11599  [8,11],
11600  [9,11],
11601  [10,11]
11602  ]
11603  ],
11604  [
11605  "triaugmented_dodecahedron",
11606  "Triaugmented Dodecahedron",
11607  "J61",
11608  "johnson",
11609  "Polyhedron Database #105",
11610  [
11611  [ 0.30633525313, 0.66269059455, -0.43655239923],
11612  [-0.30633525313, 0.66269059455, -0.43655239923],
11613  [ 0.49566085152, 0.66269059455, 0.14613187809],
11614  [-0.49566085152, 0.66269059455, 0.14613187809],
11615  [ 0.85432441306, 0.42961688362, -0.29250492399],
11616  [ 0.00000000000, 0.66269059455, 0.50625056619],
11617  [-0.85432441306, 0.42961688362, -0.29250492399],
11618  [ 0.49566085152, 0.14152193315, -0.69713672994],
11619  [-0.49566085152, 0.14152193315, -0.69713672994],
11620  [ 0.80199610465, 0.14152193315, 0.24566623548],
11621  [ 0.00000000000, -0.18057801347, -0.85818670325],
11622  [-0.80199610465, 0.14152193315, 0.24566623548],
11623  [ 0.80199610465, -0.18057801347, -0.27550242592],
11624  [-0.00000000000, 0.14152193315, 0.82835051281],
11625  [-0.80199610465, -0.18057801347, -0.27550242592],
11626  [ 0.49566085152, -0.18057801348, 0.66730053950],
11627  [-0.49566085152, -0.18057801347, 0.66730053950],
11628  [ 0.00000000000, -0.70174667488, -0.53608675663],
11629  [ 0.49566085152, -0.70174667488, -0.17596806853],
11630  [-0.00000000000, -0.46867296395, 0.88337175236],
11631  [-0.49566085152, -0.70174667488, -0.17596806853],
11632  [ 0.30633525313, -0.70174667488, 0.40671620879],
11633  [-0.30633525313, -0.70174667488, 0.40671620879]
11634  ],
11635  [
11636  [0.85063394518, 65.19079478502, 120.87777015729],
11637  [0.85063394518, 114.80920521493, 120.87777015730],
11638  [0.84035291969, 53.20526961347, 79.98572915626],
11639  [0.84035291969, 126.79473038649, 79.98572915627],
11640  [1.00000000000, 26.69659927212, 107.00798183264],
11641  [0.83393552501, 89.99999999999, 52.62263185934],
11642  [1.00000000000, 153.30340072785, 107.00798183267],
11643  [0.86701081742, 15.93519426294, 143.52046229529],
11644  [0.86701081742, 164.06480573703, 143.52046229531],
11645  [0.85063394518, 10.00750928001, 73.21365082505],
11646  [0.87697938207, -89.99999999993, 168.11727938701],
11647  [0.85063394518, 169.99249071996, 73.21365082508],
11648  [0.86701081742, -12.68914757871, 108.52758761823],
11649  [0.84035291969, 90.00000000008, 9.69525438969],
11650  [0.86701081742, -167.31085242129, 108.52758761825],
11651  [0.85063394518, -20.01757671622, 38.32790876038],
11652  [0.85063394518, -159.98242328379, 38.32790876041],
11653  [0.88308403130, -89.99999999999, 127.37736814065],
11654  [0.87697938207, -54.76550324456, 101.57511557864],
11655  [1.00000000000, -90.00000000002, 27.94819018462],
11656  [0.87697938207, -125.23449675544, 101.57511557866],
11657  [0.86701081742, -66.41716516327, 62.02400123461],
11658  [0.86701081742, -113.58283483674, 62.02400123463]
11659  ],
11660  [
11661  [22,21,18,17,20],
11662  [12,18,21,15,9],
11663  [16,22,20,14,11],
11664  [14,20,17,10,8],
11665  [10,17,18,12,7],
11666  [7,0,1,8,10],
11667  [11,3,5,13,16],
11668  [13,5,2,9,15],
11669  [5,3,1,0,2],
11670  [1,3,6],
11671  [8,1,6],
11672  [3,11,6],
11673  [11,14,6],
11674  [8,6,14],
11675  [21,22,19],
11676  [15,21,19],
11677  [22,16,19],
11678  [16,13,19],
11679  [15,19,13],
11680  [2,0,4],
11681  [9,2,4],
11682  [0,7,4],
11683  [7,12,4],
11684  [9,4,12]
11685  ],
11686  [
11687  [0,1],
11688  [0,2],
11689  [0,4],
11690  [0,7],
11691  [1,3],
11692  [1,6],
11693  [1,8],
11694  [2,4],
11695  [2,5],
11696  [2,9],
11697  [3,5],
11698  [3,6],
11699  [3,11],
11700  [4,7],
11701  [4,9],
11702  [4,12],
11703  [5,13],
11704  [6,8],
11705  [6,11],
11706  [6,14],
11707  [7,10],
11708  [7,12],
11709  [8,10],
11710  [8,14],
11711  [9,12],
11712  [9,15],
11713  [10,17],
11714  [11,14],
11715  [11,16],
11716  [12,18],
11717  [13,15],
11718  [13,16],
11719  [13,19],
11720  [14,20],
11721  [15,19],
11722  [15,21],
11723  [16,19],
11724  [16,22],
11725  [17,18],
11726  [17,20],
11727  [18,21],
11728  [19,21],
11729  [19,22],
11730  [20,22],
11731  [21,22]
11732  ]
11733  ],
11734  [
11735  "triaugmented_hexagonal_prism",
11736  "Triaugmented Hexagonal Prism",
11737  "J57",
11738  "johnson",
11739  "Polyhedron Database #101",
11740  [
11741  [ 0.31783724520, -0.31783724520, -0.55051025722],
11742  [ 0.86602540378, 0.00000000000, -0.50000000000],
11743  [-0.31783724520, -0.31783724520, -0.55051025722],
11744  [ 0.31783724520, 0.31783724520, -0.55051025722],
11745  [ 0.63567449039, -0.31783724520, 0.00000000000],
11746  [-0.31783724520, 0.31783724520, -0.55051025722],
11747  [-0.86602540378, 0.00000000000, -0.50000000000],
11748  [ 0.63567449039, 0.31783724520, -0.00000000000],
11749  [-0.63567449039, -0.31783724520, 0.00000000000],
11750  [ 0.31783724520, -0.31783724520, 0.55051025722],
11751  [-0.63567449039, 0.31783724520, -0.00000000000],
11752  [-0.31783724520, -0.31783724520, 0.55051025722],
11753  [ 0.31783724520, 0.31783724520, 0.55051025722],
11754  [-0.31783724520, 0.31783724520, 0.55051025722],
11755  [ 0.00000000000, 0.00000000000, 1.00000000000]
11756  ],
11757  [
11758  [0.71070568604, -44.99999999998, 140.76847951640],
11759  [1.00000000000, 0.00000000001, 119.99999999999],
11760  [0.71070568604, -134.99999999998, 140.76847951640],
11761  [0.71070568604, 45.00000000000, 140.76847951640],
11762  [0.71070568604, -26.56505117707, 89.99999999999],
11763  [0.71070568604, 134.99999999999, 140.76847951640],
11764  [1.00000000000, 179.99999999999, 120.00000000000],
11765  [0.71070568604, 26.56505117708, 89.99999999999],
11766  [0.71070568604, -153.43494882291, 89.99999999999],
11767  [0.71070568604, -45.00000000000, 39.23152048359],
11768  [0.71070568604, 153.43494882292, 90.00000000000],
11769  [0.71070568604, -134.99999999999, 39.23152048359],
11770  [0.71070568604, 45.00000000001, 39.23152048359],
11771  [0.71070568604, 135.00000000001, 39.23152048359],
11772  [1.00000000000, 0.00000000000, 0.00000000000]
11773  ],
11774  [
11775  [2,8,11,9,4,0],
11776  [5,3,7,12,13,10],
11777  [12,7,4,9],
11778  [10,13,11,8],
11779  [3,5,2,0],
11780  [11,14,9],
11781  [14,12,9],
11782  [13,14,11],
11783  [12,14,13],
11784  [2,6,8],
11785  [6,10,8],
11786  [5,6,2],
11787  [10,6,5],
11788  [4,1,0],
11789  [1,3,0],
11790  [7,1,4],
11791  [3,1,7]
11792  ],
11793  [
11794  [0,1],
11795  [0,2],
11796  [0,3],
11797  [0,4],
11798  [1,3],
11799  [1,4],
11800  [1,7],
11801  [2,5],
11802  [2,6],
11803  [2,8],
11804  [3,5],
11805  [3,7],
11806  [4,7],
11807  [4,9],
11808  [5,6],
11809  [5,10],
11810  [6,8],
11811  [6,10],
11812  [7,12],
11813  [8,10],
11814  [8,11],
11815  [9,11],
11816  [9,12],
11817  [9,14],
11818  [10,13],
11819  [11,13],
11820  [11,14],
11821  [12,13],
11822  [12,14],
11823  [13,14]
11824  ]
11825  ],
11826  [
11827  "triaugmented_triangular_prism",
11828  "Triaugmented Triangular Prism",
11829  "J51",
11830  "johnson",
11831  "Polyhedron Database #95",
11832  [
11833  [-0.00000000000, -0.50211797591, -0.57979589711],
11834  [-0.86602540378, 0.00000000000, -0.50000000000],
11835  [-0.50211797591, -0.50211797591, 0.28989794856],
11836  [ 0.50211797591, -0.50211797591, 0.28989794856],
11837  [ 0.86602540378, 0.00000000000, -0.50000000000],
11838  [-0.00000000000, 0.50211797591, -0.57979589711],
11839  [-0.50211797591, 0.50211797591, 0.28989794856],
11840  [-0.00000000000, 0.00000000000, 1.00000000000],
11841  [ 0.50211797591, 0.50211797591, 0.28989794856]
11842  ],
11843  [
11844  [0.76699787747, -89.99999999999, 139.10660535086],
11845  [1.00000000000, 179.99999999999, 119.99999999999],
11846  [0.76699787747, -134.99999999999, 67.79234570140],
11847  [0.76699787747, -45.00000000000, 67.79234570139],
11848  [1.00000000000, 0.00000000000, 119.99999999999],
11849  [0.76699787747, 89.99999999999, 139.10660535086],
11850  [0.76699787747, 134.99999999999, 67.79234570140],
11851  [1.00000000000, 89.99999999999, 0.00000000001],
11852  [0.76699787747, 45.00000000000, 67.79234570140]
11853  ],
11854  [
11855  [0,5,1],
11856  [5,4,8],
11857  [5,0,4],
11858  [0,3,4],
11859  [4,3,8],
11860  [8,6,5],
11861  [7,6,8],
11862  [3,7,8],
11863  [2,7,3],
11864  [2,6,7],
11865  [0,2,3],
11866  [1,2,0],
11867  [1,6,2],
11868  [5,6,1]
11869  ],
11870  [
11871  [0,1],
11872  [0,2],
11873  [0,3],
11874  [0,4],
11875  [0,5],
11876  [1,2],
11877  [1,5],
11878  [1,6],
11879  [2,3],
11880  [2,6],
11881  [2,7],
11882  [3,4],
11883  [3,7],
11884  [3,8],
11885  [4,5],
11886  [4,8],
11887  [5,6],
11888  [5,8],
11889  [6,7],
11890  [6,8],
11891  [7,8]
11892  ]
11893  ],
11894  [
11895  "triaugmented_truncated_dodecahedron",
11896  "Triaugmented Truncated Dodecahedron",
11897  "J71",
11898  "johnson",
11899  "Polyhedron Database #115",
11900  [
11901  [-0.13358612244, 0.73757049153, 0.55581336427],
11902  [-0.38221514374, 0.73757049153, 0.37517380660],
11903  [ 0.17373624906, 0.73757049153, 0.55581336427],
11904  [-0.38221514374, 0.57600155938, 0.63659783035],
11905  [-0.47718297929, 0.73757049153, 0.08289286258],
11906  [-0.65709262922, 0.62065811392, 0.30291798353],
11907  [ 0.42236527036, 0.73757049153, 0.37517380660],
11908  [-0.65709262922, 0.45908918177, 0.56434200728],
11909  [ 0.42236527036, 0.57600155938, 0.63659783035],
11910  [-0.38221514374, 0.73757049153, -0.20938808145],
11911  [-0.47718297929, 0.31457753563, 0.76730984222],
11912  [ 0.51733310591, 0.73757049153, 0.08289286258],
11913  [-0.63084416504, 0.57600155938, -0.12860361537],
11914  [-0.81075381497, 0.45908918177, 0.09142150559],
11915  [-0.13358612244, 0.73757049153, -0.39002763912],
11916  [ 0.42236527036, 0.73757049153, -0.20938808145],
11917  [ 0.17373624906, 0.73757049153, -0.39002763912],
11918  [ 0.51733310591, 0.31457753563, 0.76730984222],
11919  [-0.81075381497, 0.19766515802, 0.51441446148],
11920  [-0.38221514374, 0.05315351188, 0.89802185410],
11921  [-0.63084416504, 0.05315351188, 0.71738229643],
11922  [-0.90572165052, 0.19766515802, 0.22213351746],
11923  [ 0.67099429167, 0.57600155938, -0.12860361537],
11924  [-0.78450535080, 0.31457753563, -0.17853116117],
11925  [ 0.43858771338, 0.62065811392, -0.49314038246],
11926  [ 0.42236527036, 0.05315351188, 0.89802185410],
11927  [ 0.02007506331, 0.57600155938, -0.60152411707],
11928  [-0.13358612244, -0.10841542027, 0.97880632017],
11929  [ 0.17373624906, -0.10841542027, 0.97880632017],
11930  [ 0.67099429166, 0.05315351188, 0.71738229643],
11931  [-0.78450535080, -0.10841542027, 0.50588581848],
11932  [ 0.68721673468, 0.45908918177, -0.41235591639],
11933  [-0.87947318634, 0.05315351188, -0.04781914930],
11934  [ 0.28492652763, 0.45908918177, -0.70463686041],
11935  [ 0.82465547742, 0.31457753563, -0.17853116117],
11936  [-0.87947318634, -0.10841542027, 0.21360487445],
11937  [-0.78450535080, 0.05315351188, -0.34010009332],
11938  [ 0.02007506331, -0.36983944401, 0.92887877437],
11939  [ 0.02007506331, 0.31457753563, -0.76309304922],
11940  [ 0.82465547742, -0.10841542027, 0.50588581848],
11941  [ 0.91962331297, 0.05315351188, -0.04781914930],
11942  [-0.78450535080, -0.36983944401, 0.34431688633],
11943  [ 0.68721673468, 0.19766515802, -0.57392484854],
11944  [ 0.91962331297, -0.10841542027, 0.21360487445],
11945  [ 0.43858771338, 0.19766515802, -0.75456440621],
11946  [ 0.82465547742, 0.05315351188, -0.34010009332],
11947  [-0.63084416504, -0.10841542027, -0.55159657127],
11948  [-0.13358612244, 0.05315351188, -0.81302059502],
11949  [ 0.17373624906, 0.05315351188, -0.81302059502],
11950  [ 0.02007506331, -0.63126346776, 0.76730984222],
11951  [-0.38221514374, -0.10841542027, -0.73223612894],
11952  [ 0.82465547742, -0.36983944402, 0.34431688633],
11953  [-0.63084416504, -0.63126346776, 0.29438934053],
11954  [ 0.67099429166, -0.10841542027, -0.55159657127],
11955  [ 0.42236527036, -0.10841542027, -0.73223612894],
11956  [-0.47718297929, -0.36983944402, -0.60152411707],
11957  [-0.13358612244, -0.79283239991, 0.55581336427],
11958  [-0.13358612244, -0.25292706641, -0.84061986354],
11959  [-0.38221514374, -0.79283239991, 0.37517380660],
11960  [ 0.17373624906, -0.79283239991, 0.55581336427],
11961  [ 0.67099429166, -0.63126346776, 0.29438934053],
11962  [ 0.17373624906, -0.25292706641, -0.84061986354],
11963  [-0.47718297929, -0.79283239991, 0.08289286258],
11964  [ 0.51733310591, -0.36983944402, -0.60152411707],
11965  [ 0.42236527036, -0.79283239991, 0.37517380660],
11966  [-0.38221514374, -0.63126346776, -0.47081210519],
11967  [-0.22855395799, -0.51435109015, -0.70990785167],
11968  [-0.38221514374, -0.79283239991, -0.20938808145],
11969  [ 0.51733310591, -0.79283239991, 0.08289286258],
11970  [ 0.26870408461, -0.51435109015, -0.70990785167],
11971  [ 0.42236527036, -0.63126346776, -0.47081210519],
11972  [-0.13358612244, -0.79283239991, -0.39002763912],
11973  [ 0.02007506331, -0.67592002230, -0.62912338559],
11974  [ 0.42236527036, -0.79283239991, -0.20938808145],
11975  [ 0.17373624906, -0.79283239991, -0.39002763912]
11976  ],
11977  [
11978  [0.93315806699, 100.26591999526, 53.44271686870],
11979  [0.91151194794, 117.39356524507, 65.69492714139],
11980  [0.93974624773, 76.74547714575, 53.73999401968],
11981  [0.93974624773, 123.56690587301, 47.35806022131],
11982  [0.88237466666, 122.90149113237, 84.60951786527],
11983  [0.95328197429, 136.63332204021, 71.47229013724],
11984  [0.92906298858, 60.20265185338, 66.18282421765],
11985  [0.98031398102, 145.05925607965, 54.85310084944],
11986  [0.95677950209, 53.74848279768, 48.29044987420],
11987  [0.85670415823, 117.39356524508, 104.14703947529],
11988  [0.95677950209, 146.60557938109, 36.68122373737],
11989  [0.90471818768, 54.95411967985, 84.74302441497],
11990  [0.86387559687, 137.60189805267, 98.56134348358],
11991  [0.93618508693, 150.47930042902, 84.39595054595],
11992  [0.84497162163, 100.26591999527, 117.48954005520],
11993  [0.87535479677, 60.20265185337, 103.83954520072],
11994  [0.85224179285, 76.74547714576, 117.23550814860],
11995  [0.97742363506, 31.30275538742, 38.27626634734],
11996  [0.98031398102, 166.29835357382, 58.34894899358],
11997  [0.97742363506, 172.08282587792, 23.25391864193],
11998  [0.95677950209, 175.18376227673, 41.42793697069],
11999  [0.95328197429, 167.68877404761, 76.52507810026],
12000  [0.89361626313, 40.64377762237, 98.27437854500],
12001  [0.86387559687, 158.14978781856, 101.92686945872],
12002  [0.90595977478, 54.75308293796, 122.97883715629],
12003  [0.99381133414, 7.17280892411, 25.36274309990],
12004  [0.83307386706, 88.00390988248, 136.22430391808],
12005  [0.99381133414, -140.93801143510, 9.96900490522],
12006  [1.00000000000, -31.96511287302, 11.81709800849],
12007  [0.98371540320, 4.52928663735, 43.17577705026],
12008  [0.93974624773, -172.13179507886, 57.43053587686],
12009  [0.92361632674, 33.74456077535, 116.51666025224],
12010  [0.88237466666, 176.54137051042, 93.10659229419],
12011  [0.88795219917, 58.17483991121, 142.51876696528],
12012  [0.90049378558, 20.88012257295, 101.43517915512],
12013  [0.91151194794, -172.97242393673, 76.44720346378],
12014  [0.85670415823, 176.12389580445, 113.38993257320],
12015  [1.00000000000, -86.89300652506, 21.73929442905],
12016  [0.82563492892, 86.34856699522, 157.55552562237],
12017  [0.97351477704, -7.48958255130, 58.69130109561],
12018  [0.92239850640, 3.30797104550, 92.97167023915],
12019  [0.93315806699, -154.75939859936, 68.34726029127],
12020  [0.91691225692, 16.04690052907, 128.75063659092],
12021  [0.95030941461, -6.72362906131, 77.01040947499],
12022  [0.89487325367, 24.26040291923, 147.48045746853],
12023  [0.89361626313, 3.68792179349, 112.37014185968],
12024  [0.84497162163, -170.24853845378, 130.75296319276],
12025  [0.82563492892, 158.30254110590, 169.97163206061],
12026  [0.83307386706, 17.01116140240, 167.40310406711],
12027  [0.99381133414, -88.17852775294, 39.45823518451],
12028  [0.83307386706, -164.16399893398, 151.51680495365],
12029  [0.96715665173, -24.15516210418, 69.14467742953],
12030  [0.93974624773, -134.98096495533, 71.74391203281],
12031  [0.87535479677, -9.17820344397, 129.06049435439],
12032  [0.85224179285, -14.39623935176, 149.22556072303],
12033  [0.85224179285, -142.22261776373, 134.89533663907],
12034  [0.97742363506, -99.56406375049, 55.34375951799],
12035  [0.88795219917, -117.84125112955, 161.20812506915],
12036  [0.95677950209, -115.73816730314, 66.91343056090],
12037  [0.98371540320, -77.63993728377, 55.59670900788],
12038  [0.96715665173, -43.25249448328, 72.27874735751],
12039  [0.89487325367, -55.51472779918, 159.94654207222],
12040  [0.92906298858, -121.04252325117, 84.88114880242],
12041  [0.87535479677, -35.56083036377, 133.40709638664],
12042  [0.97351477704, -61.95445176581, 67.33262336188],
12043  [0.87535479677, -121.19391662121, 122.53759488008],
12044  [0.90595977478, -113.95816093305, 141.59115335929],
12045  [0.90471818768, -115.73816730314, 103.38187217142],
12046  [0.95030941461, -56.87504678536, 84.99588813908],
12047  [0.91691225692, -62.41681417892, 140.73595257108],
12048  [0.89361626313, -56.21434180680, 121.79365083026],
12049  [0.89361626313, -99.56406375048, 115.87822418572],
12050  [0.92361632674, -88.29879521851, 132.93375360942],
12051  [0.92239850640, -61.95445176582, 103.12074420241],
12052  [0.90049378558, -77.63993728379, 115.66613412701]
12053  ],
12054  [
12055  [73,74,71,67,62,58,56,59,64,68],
12056  [74,73,70],
12057  [45,53,63,70,73,68,60,51,43,40],
12058  [63,53,54],
12059  [68,64,60],
12060  [29,39,51,60,64,59,49,37,28,25],
12061  [51,39,43],
12062  [59,56,49],
12063  [19,27,37,49,56,58,52,41,30,20],
12064  [37,27,28],
12065  [58,62,52],
12066  [32,35,41,52,62,67,65,55,46,36],
12067  [41,35,30],
12068  [67,71,65],
12069  [46,55,50],
12070  [0,1,4,9,14,16,15,11,6,2],
12071  [1,0,3],
12072  [27,19,10,3,0,2,8,17,25,28],
12073  [10,19,20],
12074  [2,6,8],
12075  [39,29,17,8,6,11,22,34,40,43],
12076  [17,29,25],
12077  [11,15,22],
12078  [40,34,45],
12079  [16,14,26],
12080  [50,47,38,26,14,9,12,23,36,46],
12081  [38,47,48],
12082  [9,4,12],
12083  [36,23,32],
12084  [7,18,21,13,5],
12085  [12,4,5,13],
12086  [23,12,13],
12087  [32,23,13,21],
12088  [35,32,21],
12089  [30,35,21,18],
12090  [20,30,18],
12091  [10,20,18,7],
12092  [10,7,3],
12093  [1,3,7,5],
12094  [4,1,5],
12095  [33,44,42,31,24],
12096  [22,15,24,31],
12097  [34,22,31],
12098  [45,34,31,42],
12099  [53,45,42],
12100  [54,53,42,44],
12101  [48,54,44],
12102  [38,48,44,33],
12103  [38,33,26],
12104  [16,26,33,24],
12105  [15,16,24],
12106  [69,61,57,66,72],
12107  [65,71,72,66],
12108  [55,65,66],
12109  [50,55,66,57],
12110  [47,50,57],
12111  [48,47,57,61],
12112  [54,48,61],
12113  [63,54,61,69],
12114  [63,69,70],
12115  [74,70,69,72],
12116  [71,74,72]
12117  ],
12118  [
12119  [0,1],
12120  [0,2],
12121  [0,3],
12122  [1,3],
12123  [1,4],
12124  [1,5],
12125  [2,6],
12126  [2,8],
12127  [3,7],
12128  [3,10],
12129  [4,5],
12130  [4,9],
12131  [4,12],
12132  [5,7],
12133  [5,13],
12134  [6,8],
12135  [6,11],
12136  [7,10],
12137  [7,18],
12138  [8,17],
12139  [9,12],
12140  [9,14],
12141  [10,19],
12142  [10,20],
12143  [11,15],
12144  [11,22],
12145  [12,13],
12146  [12,23],
12147  [13,21],
12148  [13,23],
12149  [14,16],
12150  [14,26],
12151  [15,16],
12152  [15,22],
12153  [15,24],
12154  [16,24],
12155  [16,26],
12156  [17,25],
12157  [17,29],
12158  [18,20],
12159  [18,21],
12160  [18,30],
12161  [19,20],
12162  [19,27],
12163  [20,30],
12164  [21,32],
12165  [21,35],
12166  [22,31],
12167  [22,34],
12168  [23,32],
12169  [23,36],
12170  [24,31],
12171  [24,33],
12172  [25,28],
12173  [25,29],
12174  [26,33],
12175  [26,38],
12176  [27,28],
12177  [27,37],
12178  [28,37],
12179  [29,39],
12180  [30,35],
12181  [30,41],
12182  [31,34],
12183  [31,42],
12184  [32,35],
12185  [32,36],
12186  [33,38],
12187  [33,44],
12188  [34,40],
12189  [34,45],
12190  [35,41],
12191  [36,46],
12192  [37,49],
12193  [38,47],
12194  [38,48],
12195  [39,43],
12196  [39,51],
12197  [40,43],
12198  [40,45],
12199  [41,52],
12200  [42,44],
12201  [42,45],
12202  [42,53],
12203  [43,51],
12204  [44,48],
12205  [44,54],
12206  [45,53],
12207  [46,50],
12208  [46,55],
12209  [47,48],
12210  [47,50],
12211  [47,57],
12212  [48,54],
12213  [48,61],
12214  [49,56],
12215  [49,59],
12216  [50,55],
12217  [50,57],
12218  [51,60],
12219  [52,58],
12220  [52,62],
12221  [53,54],
12222  [53,63],
12223  [54,61],
12224  [54,63],
12225  [55,65],
12226  [55,66],
12227  [56,58],
12228  [56,59],
12229  [57,61],
12230  [57,66],
12231  [58,62],
12232  [59,64],
12233  [60,64],
12234  [60,68],
12235  [61,69],
12236  [62,67],
12237  [63,69],
12238  [63,70],
12239  [64,68],
12240  [65,66],
12241  [65,67],
12242  [65,71],
12243  [66,72],
12244  [67,71],
12245  [68,73],
12246  [69,70],
12247  [69,72],
12248  [70,73],
12249  [70,74],
12250  [71,72],
12251  [71,74],
12252  [72,74],
12253  [73,74]
12254  ]
12255  ],
12256  [
12257  "tridiminished_icosahedron",
12258  "Tridiminished Icosahedron",
12259  "J63",
12260  "johnson",
12261  "Polyhedron Database #107",
12262  [
12263  [ 0.77548248538, 0.41459730052, 0.21583002982],
12264  [-0.03437071055, 0.94087180934, -0.04730722459],
12265  [ 0.77548248538, -0.43693274218, -0.31044447901],
12266  [-0.53488751153, 0.41459730052, -0.73620950036],
12267  [-0.03437071055, 0.41459730052, 0.80422281810],
12268  [-0.03437071055, -0.43693274218, -0.89883726729],
12269  [ 0.46614609043, -0.43693274218, 0.64159505117],
12270  [-0.84422390648, -0.43693274218, -0.31044447901],
12271  [-0.53488751153, -0.43693274218, 0.64159505117]
12272  ],
12273  [
12274  [0.90545381356, 28.13035994191, 76.20983879655],
12275  [0.94268715959, 92.09212491089, 92.87650388507],
12276  [0.94268715959, -29.39836349886, 109.22742659258],
12277  [1.00000000000, 142.22033543401, 137.40951634570],
12278  [0.90545381356, 94.73906544008, 27.35224942956],
12279  [1.00000000000, -94.49783112827, 154.00564962065],
12280  [0.90545381356, -43.14720705893, 44.87973249265],
12281  [1.00000000000, -152.63592616876, 108.08601889323],
12282  [0.94268715959, -140.75569730421, 47.10927298373]
12283  ],
12284  [
12285  [2,5,7,8,6],
12286  [1,3,5,2,0],
12287  [6,4,0],
12288  [6,8,4],
12289  [0,2,6],
12290  [4,1,0],
12291  [3,1,4,8,7],
12292  [3,7,5]
12293  ],
12294  [
12295  [0,1],
12296  [0,2],
12297  [0,4],
12298  [0,6],
12299  [1,3],
12300  [1,4],
12301  [2,5],
12302  [2,6],
12303  [3,5],
12304  [3,7],
12305  [4,6],
12306  [4,8],
12307  [5,7],
12308  [6,8],
12309  [7,8]
12310  ]
12311  ],
12312  [
12313  "tridiminished_rhombicosidodecahedron",
12314  "Tridiminished Rhombicosidodecahedron",
12315  "J83",
12316  "johnson",
12317  "Polyhedron Database #127",
12318  [
12319  [ 0.68621932859, -0.30213756917, 0.52995307974],
12320  [ 0.55516309869, -0.66290441995, 0.34956965436],
12321  [ 0.89827276299, -0.07917139338, 0.23808656646],
12322  [ 0.68621932859, -0.66290441995, -0.05377994682],
12323  [ 0.89827276299, -0.30213756917, -0.12268028431],
12324  [ 0.34310966429, -0.30213756917, 0.77923684262],
12325  [ 0.55516309869, 0.05862928160, 0.71033650513],
12326  [ 0.21205343440, -0.66290441995, 0.59885341723],
12327  [ 0.76721653310, 0.28159545740, 0.41846999185],
12328  [ 0.55516309869, -0.66290441995, -0.45712954800],
12329  [ 0.76721653310, -0.30213756917, -0.52602988550],
12330  [-0.00000000000, -0.07917139338, 0.89071993052],
12331  [ 0.21205343440, 0.28159545740, 0.82181959303],
12332  [-0.21205343440, -0.66290441995, 0.59885341723],
12333  [ 0.55516309869, 0.64236230817, 0.34956965436],
12334  [ 0.21205343440, -0.66290441995, -0.70641331088],
12335  [ 0.55516309869, -0.07917139338, -0.81789639878],
12336  [-0.34310966429, -0.30213756917, 0.77923684262],
12337  [ 0.21205343440, 0.64236230817, 0.59885341723],
12338  [ 0.21205343440, -0.30213756917, -0.92937948668],
12339  [-0.21205343440, 0.28159545740, 0.82181959303],
12340  [-0.55516309869, -0.66290441995, 0.34956965436],
12341  [ 0.34310966429, 0.86532848397, 0.05770314107],
12342  [-0.21205343440, -0.66290441995, -0.70641331088],
12343  [ 0.34310966429, 0.28159545740, -0.88679673627],
12344  [-0.55516309869, 0.05862928160, 0.71033650513],
12345  [-0.21205343440, 0.64236230817, 0.59885341723],
12346  [-0.68621932859, -0.30213756917, 0.52995307974],
12347  [-0.00000000000, 0.86532848397, 0.30698690395],
12348  [-0.68621932859, -0.66290441995, -0.05377994682],
12349  [ 0.21205343440, 0.86532848397, -0.34564646011],
12350  [-0.55516309869, -0.66290441995, -0.45712954800],
12351  [ 0.21205343440, 0.64236230817, -0.70641331088],
12352  [-0.21205343440, -0.30213756917, -0.92937948668],
12353  [ 0.00000000000, 0.05862928160, -0.99827982417],
12354  [-0.76721653310, 0.28159545740, 0.41846999185],
12355  [-0.55516309869, 0.64236230817, 0.34956965436],
12356  [-0.89827276299, -0.07917139338, 0.23808656646],
12357  [-0.34310966429, 0.86532848397, 0.05770314107],
12358  [-0.89827276299, -0.30213756917, -0.12268028432],
12359  [-0.21205343440, 0.86532848397, -0.34564646011],
12360  [-0.76721653310, -0.30213756917, -0.52602988550],
12361  [-0.21205343440, 0.64236230817, -0.70641331088],
12362  [-0.55516309869, -0.07917139338, -0.81789639878],
12363  [-0.34310966429, 0.28159545740, -0.88679673627]
12364  ],
12365  [
12366  [0.91816901732, -23.76355786798, 54.74723014455],
12367  [0.93265603487, -50.05480919707, 67.98737377951],
12368  [0.93265603487, -5.03688337902, 75.20994147564],
12369  [0.95563147687, -44.00994041043, 93.22613147770],
12370  [0.95563147687, -18.59056783835, 97.37576596937],
12371  [0.90344972707, -41.36669401386, 30.40011234322],
12372  [0.90344972707, 6.02850764266, 38.16365027191],
12373  [0.91816901732, -72.26128562929, 49.29037998848],
12374  [0.91816901732, 20.15491313126, 62.88578516628],
12375  [0.97806735954, -50.05480919706, 117.86438882336],
12376  [0.97806735954, -21.49501797452, 122.53575569254],
12377  [0.89423157188, -90.00000000014, 5.07937098470],
12378  [0.89423157188, 53.01868752786, 23.21629911897],
12379  [0.91816901732, -107.73871437072, 49.29037998849],
12380  [0.91816901732, 49.16470870445, 67.62141846378],
12381  [0.99167973400, -72.26128562926, 135.42563842532],
12382  [0.99167973400, -8.11618274595, 145.56402569603],
12383  [0.90344972707, -138.63330598616, 30.40011234323],
12384  [0.90344972707, 71.73116823996, 48.48225654390],
12385  [1.00000000000, -54.93713360264, 158.33829401187],
12386  [0.89423157188, 126.98131247218, 23.21629911899],
12387  [0.93265603487, -129.94519080293, 67.98737377953],
12388  [0.93265603487, 68.37127811185, 86.45286235273],
12389  [0.99167973400, -107.73871437069, 135.42563842533],
12390  [0.99167973400, 39.37626054546, 153.41059578042],
12391  [0.90344972707, 173.97149235734, 38.16365027194],
12392  [0.90344972707, 108.26883176006, 48.48225654390],
12393  [0.91816901732, -156.23644213202, 54.74723014458],
12394  [0.91816901732, 90.00000000000, 70.46717584405],
12395  [0.95563147687, -135.99005958956, 93.22613147772],
12396  [0.95563147687, 76.23070386936, 111.20428543091],
12397  [0.97806735954, -129.94519080291, 117.86438882338],
12398  [0.97806735954, 71.73116823993, 136.24091079743],
12399  [1.00000000000, -125.06286639728, 158.33829401189],
12400  [1.00000000000, 89.99999999970, 176.63886213771],
12401  [0.91816901732, 159.84508686874, 62.88578516630],
12402  [0.91816901732, 130.83529129556, 67.62141846380],
12403  [0.93265603487, -174.96311662096, 75.20994147568],
12404  [0.93265603487, 111.62872188814, 86.45286235274],
12405  [0.95563147687, -161.40943216163, 97.37576596942],
12406  [0.95563147687, 103.76929613061, 111.20428543092],
12407  [0.97806735954, -158.50498202545, 122.53575569257],
12408  [0.97806735954, 108.26883176003, 136.24091079744],
12409  [0.99167973400, -171.88381725403, 145.56402569606],
12410  [0.99167973400, 140.62373945450, 153.41059578044]
12411  ],
12412  [
12413  [25,27,37,35],
12414  [17,27,25],
12415  [17,13,21,27],
12416  [27,21,29,39,37],
12417  [3,9,15,23,31,29,21,13,7,1],
12418  [20,11,17,25],
12419  [12,11,20],
12420  [12,6,5,11],
12421  [11,5,7,13,17],
12422  [6,0,5],
12423  [8,2,0,6],
12424  [5,0,1,7],
12425  [0,2,4,3,1],
12426  [4,10,9,3],
12427  [26,18,12,20],
12428  [28,18,26],
12429  [28,22,14,18],
12430  [18,14,8,6,12],
12431  [24,16,10,4,2,8,14,22,30,32],
12432  [36,38,28,26],
12433  [35,37,39,41,43,44,42,40,38,36],
12434  [38,40,30,22,28],
12435  [40,42,32,30],
12436  [42,44,34,24,32],
12437  [34,19,16,24],
12438  [29,31,41,39],
12439  [43,33,34,44],
12440  [41,31,23,33,43],
12441  [33,19,34],
12442  [23,15,19,33],
12443  [36,26,20,25,35],
12444  [15,9,10,16,19]
12445  ],
12446  [
12447  [0,1],
12448  [0,2],
12449  [0,5],
12450  [0,6],
12451  [1,3],
12452  [1,7],
12453  [2,4],
12454  [2,8],
12455  [3,4],
12456  [3,9],
12457  [4,10],
12458  [5,6],
12459  [5,7],
12460  [5,11],
12461  [6,8],
12462  [6,12],
12463  [7,13],
12464  [8,14],
12465  [9,10],
12466  [9,15],
12467  [10,16],
12468  [11,12],
12469  [11,17],
12470  [11,20],
12471  [12,18],
12472  [12,20],
12473  [13,17],
12474  [13,21],
12475  [14,18],
12476  [14,22],
12477  [15,19],
12478  [15,23],
12479  [16,19],
12480  [16,24],
12481  [17,25],
12482  [17,27],
12483  [18,26],
12484  [18,28],
12485  [19,33],
12486  [19,34],
12487  [20,25],
12488  [20,26],
12489  [21,27],
12490  [21,29],
12491  [22,28],
12492  [22,30],
12493  [23,31],
12494  [23,33],
12495  [24,32],
12496  [24,34],
12497  [25,27],
12498  [25,35],
12499  [26,28],
12500  [26,36],
12501  [27,37],
12502  [28,38],
12503  [29,31],
12504  [29,39],
12505  [30,32],
12506  [30,40],
12507  [31,41],
12508  [32,42],
12509  [33,34],
12510  [33,43],
12511  [34,44],
12512  [35,36],
12513  [35,37],
12514  [36,38],
12515  [37,39],
12516  [38,40],
12517  [39,41],
12518  [40,42],
12519  [41,43],
12520  [42,44],
12521  [43,44]
12522  ]
12523  ],
12524  [
12525  "trigyrate_rhombicosidodecahedron",
12526  "Trigyrate Rhombicosidodecahedron",
12527  "J75",
12528  "johnson",
12529  "Polyhedron Database #119",
12530  [
12531  [ 0.81014642261, -0.30819801214, -0.49867486605],
12532  [ 0.58622745890, -0.68915170731, -0.42591918399],
12533  [ 0.94853595364, -0.30819801214, -0.07275568693],
12534  [ 0.72461703139, -0.68915172911, 0.00000000860],
12535  [ 0.84839634805, 0.13783034304, -0.51110302027],
12536  [ 0.58622745831, -0.07275568039, -0.80687287916],
12537  [ 0.98678587908, 0.13783034304, -0.08518384115],
12538  [ 0.36230849555, -0.92459403906, -0.11772117019],
12539  [ 0.22391896430, -0.68915170731, -0.68915171272],
12540  [ 0.94853595423, -0.07275568039, 0.30819800824],
12541  [ 0.22391896394, -0.30819801214, -0.92459404447],
12542  [ 0.58622752731, -0.68915174258, 0.42591919647],
12543  [ 0.00000000095, -0.92459403906, -0.38095369892],
12544  [ 0.72461703235, -0.30819803394, 0.61639603551],
12545  [ 0.22391896585, -0.92459403906, 0.30819800936],
12546  [ 0.62447738411, 0.51878403820, -0.58385870162],
12547  [ 0.36230849437, 0.30819801477, -0.87962856052],
12548  [ 0.84839634900, 0.51878403820, 0.10529300665],
12549  [-0.22391896335, -0.68915170731, -0.68915171203],
12550  [ 0.00000000000, 0.07275568302, -0.99734972583],
12551  [ 0.81014642416, 0.30819801477, 0.49867485603],
12552  [-0.22391896371, -0.30819801214, -0.92459404378],
12553  [ 0.36230849694, -0.51878403557, 0.77433554017],
12554  [ 0.62447738470, 0.75422636995, -0.20290500646],
12555  [-0.36230849283, -0.92459403906, -0.11772116907],
12556  [ 0.58622746081, 0.07275568302, 0.80687286984],
12557  [-0.22391896180, -0.92459403906, 0.30819801005],
12558  [ 0.22391896430, 0.68915170994, -0.68915171272],
12559  [ 0.00000000256, -0.75422636732, 0.65661437486],
12560  [ 0.58622746022, 0.68915170994, 0.42591917467],
12561  [-0.58622745713, -0.68915170731, -0.42591918218],
12562  [ 0.22391896686, -0.13783034041, 0.96481238797],
12563  [-0.36230849401, 0.30819801477, -0.87962855939],
12564  [ 0.22391896489, 0.92459404169, -0.30819801756],
12565  [-0.58622745772, -0.07275568039, -0.80687287734],
12566  [ 0.36230849592, 0.92459404169, 0.11772116156],
12567  [-0.22391896335, 0.68915170994, -0.68915171203],
12568  [-0.72461702830, -0.68915172911, 0.00000001084],
12569  [ 0.22391896680, 0.30819801477, 0.92459403627],
12570  [-0.58622752290, -0.68915174258, 0.42591919829],
12571  [-0.81014642107, -0.30819801214, -0.49867486354],
12572  [-0.36230849145, -0.51878403557, 0.77433554130],
12573  [ 0.22391896644, 0.68915170994, 0.68915170452],
12574  [-0.22391896078, -0.13783034041, 0.96481238866],
12575  [-0.22391896276, 0.92459404169, -0.30819801686],
12576  [-0.62447738283, 0.51878403820, -0.58385869969],
12577  [-0.84839634654, 0.13783034304, -0.51110301764],
12578  [ 0.00000000214, 0.92459404169, 0.38095369141],
12579  [-0.94853595077, -0.30819801214, -0.07275568399],
12580  [-0.22391896085, 0.30819801477, 0.92459403697],
12581  [-0.72461702735, -0.30819803394, 0.61639603776],
12582  [-0.22391898684, 0.68915173173, 0.68915174049],
12583  [-0.36230849246, 0.92459404169, 0.11772116269],
12584  [-0.62447738224, 0.75422636995, -0.20290500453],
12585  [-0.58622745522, 0.07275568302, 0.80687287165],
12586  [-0.98678587625, 0.13783034304, -0.08518383809],
12587  [-0.94853595018, -0.07275568039, 0.30819801118],
12588  [-0.58622749727, 0.68915174521, 0.42591923356],
12589  [-0.84839634559, 0.51878403820, 0.10529300928],
12590  [-0.81014644515, 0.30819803657, 0.49867489381]
12591  ],
12592  [
12593  [0.99999993139, -20.82794625364, 119.91237076139],
12594  [0.99999993027, -49.61382234416, 115.20886052090],
12595  [0.99999993001, -17.99999990276, 94.17228054250],
12596  [0.99999997396, -43.56299975178, 89.99999950735],
12597  [0.99999993208, 9.22764496004, 120.73733164675],
12598  [0.99999993251, -7.07470496475, 143.79152409877],
12599  [0.99999993070, 7.95140480699, 94.88659687324],
12600  [0.99999992846, -68.60193099443, 96.76060349837],
12601  [0.99999993070, -71.99999993198, 133.56300081327],
12602  [0.99999992889, -4.38617747094, 72.04933107129],
12603  [0.99999993208, -53.99999987008, 157.60722921332],
12604  [1.00000000000, -49.61382049157, 64.79114056952],
12605  [0.99999992889, -89.99999994082, 112.39277115638],
12606  [0.99999997215, -23.04128215601, 51.94656985846],
12607  [0.99999992665, -76.38617742215, 72.04933096210],
12608  [0.99999993251, 39.71807767282, 125.72240615218],
12609  [0.99999993294, 40.38617766555, 151.59759642355],
12610  [0.99999993027, 31.44527815788, 83.95595139326],
12611  [0.99999993001, -107.99999999622, 133.56300079611],
12612  [0.99999993251, 89.99999999999, 175.82771969239],
12613  [0.99999992846, 20.82794637973, 60.08762980391],
12614  [0.99999993139, -126.00000010249, 157.60722920519],
12615  [0.99999992565, -55.07031437910, 39.25516564935],
12616  [0.99999993139, 50.37623714233, 101.70688835168],
12617  [0.99999992734, -111.39806885915, 96.76060344119],
12618  [0.99999992665, 7.07470518792, 36.20847634635],
12619  [0.99999992596, -103.61382234103, 72.04933090746],
12620  [0.99999993251, 71.99999999621, 133.56300071454],
12621  [0.99999992522, -89.99999980532, 48.95782221870],
12622  [0.99999992889, 49.61382238836, 64.79114003198],
12623  [0.99999992846, -130.38617757042, 115.20886045472],
12624  [0.99999992522, -31.61382184960, 15.24452363152],
12625  [0.99999993182, 139.61382230595, 151.59759640696],
12626  [0.99999993139, 76.38617751532, 107.95066944356],
12627  [0.99999993070, -172.92529502820, 143.79152406436],
12628  [0.99999993001, 68.60193103016, 83.23939700984],
12629  [0.99999993182, 107.99999993197, 133.56300069739],
12630  [0.99999997172, -136.43700012618, 89.99999937870],
12631  [0.99999992596, 53.99999975385, 22.39277116748],
12632  [0.99999999819, -130.38617929570, 64.79114040561],
12633  [0.99999992889, -159.17205371004, 119.91237067797],
12634  [0.99999992453, -124.92968521333, 39.25516546918],
12635  [0.99999992734, 71.99999983560, 46.43699965184],
12636  [0.99999992453, -148.38617745588, 15.24452333482],
12637  [0.99999993070, 103.61382235966, 107.95066941460],
12638  [0.99999993058, 140.28192226938, 125.72240609513],
12639  [0.99999992946, 170.77235502383, 120.73733156082],
12640  [0.99999992846, 89.99999986765, 67.60722929848],
12641  [0.99999992708, -162.00000004638, 94.17228038589],
12642  [0.99999992526, 125.99999952143, 22.39277096689],
12643  [0.99999996991, -156.95871770158, 51.94656959463],
12644  [0.99999997172, 108.00000116584, 46.43699922618],
12645  [0.99999992889, 111.39806878419, 83.23939693745],
12646  [0.99999992946, 129.62376274669, 101.70688826136],
12647  [0.99999992484, 172.92529474527, 36.20847602836],
12648  [0.99999992765, 172.04859517050, 94.88659671233],
12649  [0.99999992596, -175.61382251042, 72.04933083984],
12650  [1.00000000000, 130.38617795168, 64.79113822081],
12651  [0.99999992765, 148.55472173940, 83.95595122587],
12652  [0.99999997103, 159.17205276679, 60.08762870951]
12653  ],
12654  [
12655  [30,24,12,18],
12656  [37,24,30],
12657  [37,39,26,24],
12658  [24,26,14,7,12],
12659  [26,28,14],
12660  [39,41,28,26],
12661  [14,28,22,11],
12662  [22,13,11],
12663  [22,31,25,13],
12664  [28,41,43,31,22],
12665  [31,38,25],
12666  [43,49,38,31],
12667  [40,48,37,30],
12668  [55,56,48],
12669  [55,58,59,56],
12670  [48,56,50,39,37],
12671  [58,57,59],
12672  [53,52,57,58],
12673  [56,59,54,50],
12674  [50,41,39],
12675  [50,54,43,41],
12676  [59,57,51,49,54],
12677  [54,49,43],
12678  [51,42,38,49],
12679  [40,46,55,48],
12680  [34,46,40],
12681  [34,32,45,46],
12682  [46,45,53,58,55],
12683  [32,36,45],
12684  [27,33,44,36],
12685  [45,36,44,53],
12686  [44,52,53],
12687  [52,47,51,57],
12688  [44,33,35,47,52],
12689  [47,42,51],
12690  [35,29,42,47],
12691  [21,19,32,34],
12692  [10,19,21],
12693  [10,5,16,19],
12694  [19,16,27,36,32],
12695  [16,15,27],
12696  [5,4,15,16],
12697  [27,15,23,33],
12698  [23,35,33],
12699  [23,17,29,35],
12700  [15,4,6,17,23],
12701  [17,20,29],
12702  [6,9,20,17],
12703  [18,8,10,21],
12704  [12,8,18],
12705  [12,7,1,8],
12706  [8,1,0,5,10],
12707  [7,3,1],
12708  [14,11,3,7],
12709  [1,3,2,0],
12710  [0,4,5],
12711  [0,2,6,4],
12712  [3,11,13,9,2],
12713  [2,9,6],
12714  [13,25,20,9],
12715  [21,34,40,30,18],
12716  [25,38,42,29,20]
12717  ],
12718  [
12719  [0,1],
12720  [0,2],
12721  [0,4],
12722  [0,5],
12723  [1,3],
12724  [1,7],
12725  [1,8],
12726  [2,3],
12727  [2,6],
12728  [2,9],
12729  [3,7],
12730  [3,11],
12731  [4,5],
12732  [4,6],
12733  [4,15],
12734  [5,10],
12735  [5,16],
12736  [6,9],
12737  [6,17],
12738  [7,12],
12739  [7,14],
12740  [8,10],
12741  [8,12],
12742  [8,18],
12743  [9,13],
12744  [9,20],
12745  [10,19],
12746  [10,21],
12747  [11,13],
12748  [11,14],
12749  [11,22],
12750  [12,18],
12751  [12,24],
12752  [13,22],
12753  [13,25],
12754  [14,26],
12755  [14,28],
12756  [15,16],
12757  [15,23],
12758  [15,27],
12759  [16,19],
12760  [16,27],
12761  [17,20],
12762  [17,23],
12763  [17,29],
12764  [18,21],
12765  [18,30],
12766  [19,21],
12767  [19,32],
12768  [20,25],
12769  [20,29],
12770  [21,34],
12771  [22,28],
12772  [22,31],
12773  [23,33],
12774  [23,35],
12775  [24,26],
12776  [24,30],
12777  [24,37],
12778  [25,31],
12779  [25,38],
12780  [26,28],
12781  [26,39],
12782  [27,33],
12783  [27,36],
12784  [28,41],
12785  [29,35],
12786  [29,42],
12787  [30,37],
12788  [30,40],
12789  [31,38],
12790  [31,43],
12791  [32,34],
12792  [32,36],
12793  [32,45],
12794  [33,35],
12795  [33,44],
12796  [34,40],
12797  [34,46],
12798  [35,47],
12799  [36,44],
12800  [36,45],
12801  [37,39],
12802  [37,48],
12803  [38,42],
12804  [38,49],
12805  [39,41],
12806  [39,50],
12807  [40,46],
12808  [40,48],
12809  [41,43],
12810  [41,50],
12811  [42,47],
12812  [42,51],
12813  [43,49],
12814  [43,54],
12815  [44,52],
12816  [44,53],
12817  [45,46],
12818  [45,53],
12819  [46,55],
12820  [47,51],
12821  [47,52],
12822  [48,55],
12823  [48,56],
12824  [49,51],
12825  [49,54],
12826  [50,54],
12827  [50,56],
12828  [51,57],
12829  [52,53],
12830  [52,57],
12831  [53,58],
12832  [54,59],
12833  [55,56],
12834  [55,58],
12835  [56,59],
12836  [57,58],
12837  [57,59],
12838  [58,59]
12839  ]
12840  ]
12841 ];
12842 
12843 //! @}
12844 
12845 //----------------------------------------------------------------------------//
12846 // openscad-amu auxiliary scripts
12847 //----------------------------------------------------------------------------//
12848 
12849 /*
12850 BEGIN_SCOPE db;
12851 BEGIN_SCOPE autostat;
12852  BEGIN_OPENSCAD;
12853  include <math/math_polytope.scad>;
12854  include <math/math_utility.scad>;
12855  include <datatypes/datatypes_table.scad>;
12856  include <database/geometry/polyhedra/johnson.scad>;
12857 
12858  fs = "^";
12859 
12860  tc = dtc_polyhedra_johnson;
12861  tr = dtr_polyhedra_johnson;
12862 
12863  ids = get_table_ridl(tr);
12864 
12865  echo
12866  (
12867  str
12868  (
12869  "no.", fs, "table id", fs, "other name", fs,
12870  "vertices", fs, "faces", fs, "edges",
12871 
12872  fs, "face-verticies",
12873  fs, "face-angles",
12874  fs, "edge-lengths",
12875  fs, "edge-angles"
12876  )
12877  );
12878 
12879  for ( id = ids )
12880  {
12881  i = first(find(id, ids, c=1))+1;
12882 
12883  n = get_table_v(tr, tc, id, "n");
12884  o = get_table_v(tr, tc, id, "o");
12885  g = get_table_v(tr, tc, id, "g");
12886  d = get_table_v(tr, tc, id, "d");
12887 
12888  c = get_table_v(tr, tc, id, "c");
12889  s = get_table_v(tr, tc, id, "s");
12890  f = get_table_v(tr, tc, id, "f");
12891  e = get_table_v(tr, tc, id, "e");
12892 
12893  fo = is_empty(o) ? "-" : o;
12894 
12895  echo
12896  (
12897  str
12898  (
12899  i, fs, id, fs, fo, fs,
12900  len(c), fs, len(f), fs, len(e),
12901 
12902  fs, hist(qsort(polytope_face_vcounts(f)), m=9),
12903  fs, hist(qsort(dround(polytope_face_angles(c, f), d=1)), m=9),
12904  fs, hist(qsort(sround(polytope_edge_lengths(c, e), d=3)), m=9),
12905  fs, hist(qsort(dround(polytope_edge_angles(c, f), d=1)), m=9),
12906 
12907  fs
12908  )
12909  );
12910  }
12911  END_OPENSCAD;
12912 
12913  BEGIN_MFSCRIPT;
12914  include --path "${INCLUDE_PATH}" {config_base,config_csg}.mfs;
12915  include --path "${INCLUDE_PATH}" script_std.mfs;
12916  END_MFSCRIPT;
12917 END_SCOPE;
12918 END_SCOPE;
12919 */
12920 
12921 /*
12922 BEGIN_SCOPE db;
12923 BEGIN_SCOPE dim;
12924  BEGIN_OPENSCAD;
12925  include <units/units_coordinate.scad>;
12926  include <tools/tools_polytope.scad>;
12927  include <datatypes/datatypes_table.scad>;
12928  include <database/geometry/polyhedra/johnson.scad>;
12929 
12930  config = 0;
12931 
12932  tc = dtc_polyhedra_johnson;
12933  tr = dtr_polyhedra_johnson;
12934 
12935  id = "default";
12936  sr = 100;
12937 
12938  pv = get_table_v(tr, tc, id, "c");
12939  pf = get_table_v(tr, tc, id, "f");
12940  pe = get_table_v(tr, tc, id, "e");
12941 
12942  sv = coordinates_csc(pv, sr);
12943 
12944  if (config == 0) // png preview
12945  {
12946  $fn = 25;
12947 
12948  %polyhedron(sv, pf);
12949 
12950  polytope_frame(sv, pf, pe)
12951  {
12952  circle(r = sr / 25);
12953  color("lightblue")
12954  sphere(r = sr / 25 * (1 + 1/2));
12955  }
12956  }
12957 
12958  if (config == 1) // stl model
12959  {
12960  polyhedron(sv, pf);
12961  }
12962  END_OPENSCAD;
12963 
12964  BEGIN_MFSCRIPT;
12965  include --path "${INCLUDE_PATH}" {config_base,config_png}.mfs;
12966 
12967  views name "views" views "diag";
12968  defines name "ids" define "id"
12969  strings
12970  "
12971  augmented_dodecahedron
12972  augmented_hexagonal_prism
12973  augmented_pentagonal_prism
12974  augmented_sphenocorona
12975  augmented_triangular_prism
12976  augmented_tridiminished_icosahedron
12977  augmented_truncated_cube
12978  augmented_truncated_dodecahedron
12979  augmented_truncated_tetrahedron
12980  biaugmented_pentagonal_prism
12981  biaugmented_triangular_prism
12982  biaugmented_truncated_cube
12983  bigyrate_diminished_rhombicosidodecahedron
12984  bilunabirotunda
12985  diminished_rhombicosidodecahedron
12986  disphenocingulum
12987  elongated_pentagonal_cupola
12988  elongated_pentagonal_dipyramid
12989  elongated_pentagonal_gyrobicupola
12990  elongated_pentagonal_gyrobirotunda
12991  elongated_pentagonal_gyrocupolarotunda
12992  elongated_pentagonal_orthobicupola
12993  elongated_pentagonal_orthobirotunda
12994  elongated_pentagonal_orthocupolarotunda
12995  elongated_pentagonal_pyramid
12996  elongated_pentagonal_rotunds
12997  elongated_square_cupola
12998  elongated_square_dipyramid
12999  elongated_square_gyrobicupola
13000  elongated_square_pyramid
13001  elongated_triangular_cupola
13002  elongated_triangular_dipyramid
13003  elongated_triangular_gyrobicupola
13004  elongated_triangular_orthobicupola
13005  elongated_triangular_pyramid
13006  gyrate_bidiminished_rhombicosidodecahedron
13007  gyrate_rhombicosidodecahedron
13008  gyrobifastigium
13009  gyroelongated_pentagonal_bicupola
13010  gyroelongated_pentagonal_birotunda
13011  gyroelongated_pentagonal_cupola
13012  gyroelongated_pentagonal_cupolarotunda
13013  gyroelongated_pentagonal_pyramid
13014  gyroelongated_pentagonal_rotunda
13015  gyroelongated_square_bicupola
13016  gyroelongated_square_cupola
13017  gyroelongated_square_dipyramid
13018  gyroelongated_square_pyramid
13019  gyroelongated_triangular_bicupola
13020  gyroelongated_triangular_cupola
13021  hebesphenomegacorona
13022  metabiaugmented_dodecahedron
13023  metabiaugmented_hexagonal_prism
13024  metabiaugmented_truncated_dodecahedron
13025  metabidiminished_icosahedron
13026  metabidiminished_rhombicosidodecahedron
13027  metabigyrate_rhombicosidodecahedron
13028  metagyrate_diminished_rhombicosidodecahedron
13029  parabiaugmented_dodecahedron
13030  parabiaugmented_hexagonal_prism
13031  parabiaugmented_truncated_dodecahedron
13032  parabidiminished_rhombicosidodecahedron
13033  parabigyrate_rhombicosidodecahedron
13034  paragyrate_diminished_rhombicosidodecahedron
13035  pentagonal_cupola
13036  pentagonal_dipyramid
13037  pentagonal_gyrobicupola
13038  pentagonal_gyrocupolarotunda
13039  pentagonal_orthobicupola
13040  pentagonal_orthobirotunda
13041  pentagonal_orthocupolarontunda
13042  pentagonal_pyramid
13043  pentagonal_rotunda
13044  snub_disphenoid
13045  snub_square_antiprism
13046  sphenocorona
13047  sphenomegacorona
13048  square_cupola
13049  square_gyrobicupola
13050  square_orthobicupola
13051  square_pyramid
13052  triangular_cupola
13053  triangular_dipyramid
13054  triangular_hebesphenorotunda
13055  triangular_orthobicupola
13056  triaugmented_dodecahedron
13057  triaugmented_hexagonal_prism
13058  triaugmented_triangular_prism
13059  triaugmented_truncated_dodecahedron
13060  tridiminished_icosahedron
13061  tridiminished_rhombicosidodecahedron
13062  trigyrate_rhombicosidodecahedron
13063  ";
13064  variables add_opts_combine "views ids";
13065  variables add_opts "-D config=0 --viewall --autocenter";
13066 
13067  include --path "${INCLUDE_PATH}" script_new.mfs;
13068 
13069  include --path "${INCLUDE_PATH}" config_stl.mfs;
13070  variables add_opts_combine "ids";
13071  variables add_opts "-D config=1";
13072 
13073  include --path "${INCLUDE_PATH}" script_app.mfs;
13074  END_MFSCRIPT;
13075 END_SCOPE;
13076 END_SCOPE;
13077 */
13078 
13079 //----------------------------------------------------------------------------//
13080 // end of file
13081 //----------------------------------------------------------------------------//
dtr_polyhedra_johnson
dtr_polyhedra_johnson
Definition: johnson.scad:129
dtc_polyhedra_johnson
dtc_polyhedra_johnson
Definition: johnson.scad:114