omdl  v0.6.1
OpenSCAD Mechanical Design Library
archimedean.scad
Go to the documentation of this file.
1 //! Table of polyhedra data group: \c archimedean
2 /***************************************************************************//**
3  \file archimedean.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: archimedean ###
64 
65  \amu_define caption (archimedean)
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 (archimedean)
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="${cell_num}"
94  )
95  \endlatexonly
96 
97  \amu_shell data
98  (
99  "grep -Po 'ECHO: \"\K[^\"]*' build/csg/archimedean_db_autostat.log" --rmnl
100  )
101  \amu_shell columns ("echo '${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 archimedean polyhedra data table columns definition.
113 //! \hideinitializer
114 dtc_polyhedra_archimedean =
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 archimedean polyhedra data table rows.
128 //! \hideinitializer
129 dtr_polyhedra_archimedean =
130 [
131  [
132  "cuboctahedron",
133  "Cuboctahedron",
134  empty_str,
135  "archimedean",
136  "Exact Mathematics",
137  [
138  [ 1.00000000000, 0.00000000000, 1.00000000000],
139  [ 0.00000000000, 1.00000000000, 1.00000000000],
140  [-1.00000000000, 0.00000000000, 1.00000000000],
141  [ 0.00000000000, -1.00000000000, 1.00000000000],
142  [ 1.00000000000, 1.00000000000, 0.00000000000],
143  [-1.00000000000, 1.00000000000, 0.00000000000],
144  [-1.00000000000, -1.00000000000, 0.00000000000],
145  [ 1.00000000000, -1.00000000000, 0.00000000000],
146  [ 1.00000000000, 0.00000000000, -1.00000000000],
147  [ 0.00000000000, 1.00000000000, -1.00000000000],
148  [-1.00000000000, 0.00000000000, -1.00000000000],
149  [ 0.00000000000, -1.00000000000, -1.00000000000]
150  ],
151  [
152  [1.41421356237, 0.00000000000, 45.00000000000],
153  [1.41421356237, 89.99999999999, 45.00000000000],
154  [1.41421356237, 179.99999999999, 45.00000000000],
155  [1.41421356237, -89.99999999999, 45.00000000000],
156  [1.41421356237, 45.00000000000, 89.99999999999],
157  [1.41421356237, 134.99999999999, 89.99999999999],
158  [1.41421356237, -134.99999999999, 89.99999999999],
159  [1.41421356237, -45.00000000000, 89.99999999999],
160  [1.41421356237, 0.00000000000, 134.99999999999],
161  [1.41421356237, 89.99999999999, 134.99999999999],
162  [1.41421356237, 179.99999999999, 134.99999999999],
163  [1.41421356237, -89.99999999999, 134.99999999999]
164  ],
165  [
166  [3,2,1,0],
167  [0,4,8,7],
168  [1,5,9,4],
169  [2,6,10,5],
170  [3,7,11,6],
171  [8,9,10,11],
172  [0,1,4],
173  [1,2,5],
174  [2,3,6],
175  [3,0,7],
176  [4,9,8],
177  [5,10,9],
178  [6,11,10],
179  [7,8,11]
180  ],
181  [
182  [0,1],
183  [1,2],
184  [2,3],
185  [3,0],
186  [4,0],
187  [0,7],
188  [7,8],
189  [8,4],
190  [5,1],
191  [1,4],
192  [4,9],
193  [9,5],
194  [6,2],
195  [2,5],
196  [5,10],
197  [10,6],
198  [7,3],
199  [3,6],
200  [6,11],
201  [11,7],
202  [8,9],
203  [9,10],
204  [10,11],
205  [11,8]
206  ]
207  ],
208  [
209  "icosidodecahedron",
210  "Icosidodecahedron",
211  empty_str,
212  "archimedean",
213  "George W. Hart, 1997. george@li.net",
214  [
215  [ 0.00000000000, 0.00000000000, 1.05146200000],
216  [ 0.61803400000, 0.00000000000, 0.85065080000],
217  [ 0.27639320000, 0.55278640000, 0.85065080000],
218  [-0.61803400000, 0.00000000000, 0.85065080000],
219  [-0.27639320000, -0.55278640000, 0.85065080000],
220  [ 1.00000000000, 0.00000000000, 0.32491970000],
221  [ 0.72360680000, -0.55278640000, 0.52573110000],
222  [-0.17082040000, 0.89442720000, 0.52573110000],
223  [ 0.44721360000, 0.89442720000, 0.32491970000],
224  [-1.00000000000, 0.00000000000, 0.32491970000],
225  [-0.72360680000, 0.55278640000, 0.52573110000],
226  [ 0.17082040000, -0.89442720000, 0.52573110000],
227  [-0.44721360000, -0.89442720000, 0.32491970000],
228  [ 1.00000000000, 0.00000000000, -0.32491970000],
229  [ 0.89442720000, 0.55278640000, 0.00000000000],
230  [ 0.55278640000, -0.89442720000, 0.00000000000],
231  [-0.55278640000, 0.89442720000, 0.00000000000],
232  [ 0.44721360000, 0.89442720000, -0.32491970000],
233  [-1.00000000000, 0.00000000000, -0.32491970000],
234  [-0.89442720000, -0.55278640000, 0.00000000000],
235  [-0.44721360000, -0.89442720000, -0.32491970000],
236  [ 0.61803400000, 0.00000000000, -0.85065080000],
237  [ 0.72360680000, -0.55278640000, -0.52573110000],
238  [ 0.17082040000, -0.89442720000, -0.52573110000],
239  [-0.72360680000, 0.55278640000, -0.52573110000],
240  [-0.17082040000, 0.89442720000, -0.52573110000],
241  [ 0.27639320000, 0.55278640000, -0.85065080000],
242  [-0.61803400000, 0.00000000000, -0.85065080000],
243  [-0.27639320000, -0.55278640000, -0.85065080000],
244  [ 0.00000000000, 0.00000000000, -1.05146200000]
245  ],
246  [
247  [1.05146200000, 0.00000000000, 0.00000000000],
248  [1.05146222409, 0.00000000000, 36.00000076346],
249  [1.05146221452, 63.43494882292, 36.00000004571],
250  [1.05146222409, 179.99999999999, 36.00000076346],
251  [1.05146221452, -116.56505117707, 36.00000004571],
252  [1.05146222540, 0.00000000000, 71.99999980477],
253  [1.05146221736, -37.37736782970, 60.00000054620],
254  [1.05146222693, 100.81231727452, 60.00000084727],
255  [1.05146223497, 63.43494882292, 71.99999997421],
256  [1.05146222540, 179.99999999999, 71.99999980477],
257  [1.05146221736, 142.62263217029, 60.00000054620],
258  [1.05146222693, -79.18768272547, 60.00000084727],
259  [1.05146223497, -116.56505117707, 71.99999997421],
260  [1.05146222540, 0.00000000000, 108.00000019522],
261  [1.05146222953, 31.71747394503, 89.99999999999],
262  [1.05146222953, -58.28252605496, 89.99999999999],
263  [1.05146222953, 121.71747394503, 89.99999999999],
264  [1.05146223497, 63.43494882292, 108.00000002578],
265  [1.05146222540, 179.99999999999, 108.00000019522],
266  [1.05146222953, -148.28252605495, 89.99999999999],
267  [1.05146223497, -116.56505117707, 108.00000002578],
268  [1.05146222409, 0.00000000000, 143.99999923652],
269  [1.05146221736, -37.37736782970, 119.99999945379],
270  [1.05146222693, -79.18768272547, 119.99999915272],
271  [1.05146221736, 142.62263217029, 119.99999945379],
272  [1.05146222693, 100.81231727452, 119.99999915272],
273  [1.05146221452, 63.43494882292, 143.99999995428],
274  [1.05146222409, 179.99999999999, 143.99999923652],
275  [1.05146221452, -116.56505117707, 143.99999995428],
276  [1.05146200000, 0.00000000000, 179.99999999999]
277  ],
278  [
279  [2,1,0],
280  [4,3,0],
281  [5,6,1],
282  [7,8,2],
283  [9,10,3],
284  [11,12,4],
285  [14,13,5],
286  [15,11,6],
287  [10,16,7],
288  [17,14,8],
289  [19,18,9],
290  [20,19,12],
291  [21,22,13],
292  [22,23,15],
293  [24,25,16],
294  [25,26,17],
295  [27,24,18],
296  [23,28,20],
297  [26,29,21],
298  [28,29,27],
299  [3,10,7,2,0],
300  [1,6,11,4,0],
301  [2,8,14,5,1],
302  [4,12,19,9,3],
303  [13,22,15,6,5],
304  [16,25,17,8,7],
305  [18,24,16,10,9],
306  [15,23,20,12,11],
307  [14,17,26,21,13],
308  [19,20,28,27,18],
309  [29,28,23,22,21],
310  [27,29,26,25,24]
311  ],
312  [
313  [0,1],
314  [0,2],
315  [0,3],
316  [0,4],
317  [1,2],
318  [1,5],
319  [1,6],
320  [2,7],
321  [2,8],
322  [3,4],
323  [3,9],
324  [3,10],
325  [4,11],
326  [4,12],
327  [5,6],
328  [5,13],
329  [5,14],
330  [6,11],
331  [6,15],
332  [7,8],
333  [7,10],
334  [7,16],
335  [8,14],
336  [8,17],
337  [9,10],
338  [9,18],
339  [9,19],
340  [10,16],
341  [11,12],
342  [11,15],
343  [12,19],
344  [12,20],
345  [13,14],
346  [13,21],
347  [13,22],
348  [14,17],
349  [15,22],
350  [15,23],
351  [16,24],
352  [16,25],
353  [17,25],
354  [17,26],
355  [18,19],
356  [18,24],
357  [18,27],
358  [19,20],
359  [20,23],
360  [20,28],
361  [21,22],
362  [21,26],
363  [21,29],
364  [22,23],
365  [23,28],
366  [24,25],
367  [24,27],
368  [25,26],
369  [26,29],
370  [27,28],
371  [27,29],
372  [28,29]
373  ]
374  ],
375  [
376  "rhombicosidodecahedron",
377  "Rhombicosidodecahedron",
378  empty_str,
379  "archimedean",
380  "George W. Hart, 1997. george@li.net",
381  [
382  [ 0.00000000000, 0.00000000000, 1.02605400000],
383  [ 0.44783800000, 0.00000000000, 0.92316170000],
384  [-0.02363976000, 0.44721360000, 0.92316170000],
385  [-0.40507320000, 0.19098300000, 0.92316170000],
386  [-0.16933440000, -0.41458980000, 0.92316170000],
387  [ 0.42419820000, 0.44721360000, 0.82026960000],
388  [ 0.76738180000, 0.19098300000, 0.65378680000],
389  [ 0.55528270000, -0.41458980000, 0.75667880000],
390  [-0.23122410000, 0.75623060000, 0.65378680000],
391  [-0.57440760000, -0.22360680000, 0.82026960000],
392  [-0.61265760000, 0.50000000000, 0.65378680000],
393  [ 0.17384920000, -0.67082040000, 0.75667880000],
394  [-0.46696290000, -0.63819660000, 0.65378680000],
395  [ 0.49339300000, 0.75623060000, 0.48730390000],
396  [ 0.87482650000, -0.22360680000, 0.48730390000],
397  [ 0.83657650000, 0.50000000000, 0.32082100000],
398  [ 0.70549210000, -0.63819660000, 0.38441180000],
399  [ 0.08831973000, 0.94721360000, 0.38441180000],
400  [-0.54346280000, 0.80901700000, 0.32082100000],
401  [-0.88664630000, -0.17082040000, 0.48730390000],
402  [-0.91028610000, 0.27639320000, 0.38441180000],
403  [-0.12377940000, -0.89442720000, 0.48730390000],
404  [ 0.32405860000, -0.89442720000, 0.38441180000],
405  [-0.77920160000, -0.58541020000, 0.32082100000],
406  [ 0.62899220000, 0.80901700000, 0.05144604000],
407  [ 1.01042600000, -0.17082040000, 0.05144604000],
408  [ 0.98678590000, 0.27639320000, -0.05144604000],
409  [ 0.84109130000, -0.58541020000, -0.05144604000],
410  [-0.22391900000, 1.00000000000, 0.05144604000],
411  [ 0.22391900000, 1.00000000000, -0.05144604000],
412  [-0.84109130000, 0.58541020000, 0.05144604000],
413  [-0.98678590000, -0.27639320000, 0.05144604000],
414  [-1.01042600000, 0.17082040000, -0.05144604000],
415  [-0.22391900000, -1.00000000000, 0.05144604000],
416  [ 0.22391900000, -1.00000000000, -0.05144604000],
417  [-0.62899220000, -0.80901700000, -0.05144604000],
418  [ 0.77920160000, 0.58541020000, -0.32082100000],
419  [ 0.91028610000, -0.27639320000, -0.38441180000],
420  [ 0.88664630000, 0.17082040000, -0.48730390000],
421  [ 0.54346280000, -0.80901700000, -0.32082100000],
422  [-0.32405860000, 0.89442720000, -0.38441180000],
423  [ 0.12377940000, 0.89442720000, -0.48730390000],
424  [-0.70549210000, 0.63819660000, -0.38441180000],
425  [-0.83657650000, -0.50000000000, -0.32082100000],
426  [-0.87482650000, 0.22360680000, -0.48730390000],
427  [-0.08831973000, -0.94721360000, -0.38441180000],
428  [-0.49339300000, -0.75623060000, -0.48730390000],
429  [ 0.46696290000, 0.63819660000, -0.65378680000],
430  [ 0.61265760000, -0.50000000000, -0.65378680000],
431  [ 0.57440760000, 0.22360680000, -0.82026960000],
432  [ 0.23122410000, -0.75623060000, -0.65378680000],
433  [-0.17384920000, 0.67082040000, -0.75667880000],
434  [-0.55528270000, 0.41458980000, -0.75667880000],
435  [-0.76738180000, -0.19098300000, -0.65378680000],
436  [-0.42419820000, -0.44721360000, -0.82026960000],
437  [ 0.16933440000, 0.41458980000, -0.92316170000],
438  [ 0.40507320000, -0.19098300000, -0.92316170000],
439  [ 0.02363976000, -0.44721360000, -0.92316170000],
440  [-0.44783800000, 0.00000000000, -0.92316170000],
441  [ 0.00000000000, 0.00000000000, -1.02605400000]
442  ],
443  [
444  [1.02605400000, 0.00000000000, 0.00000000000],
445  [1.02605379907, 0.00000000000, 25.87863946032],
446  [1.02605378350, 93.02584502980, 25.87863766724],
447  [1.02605376467, 154.75716551729, 25.87863550033],
448  [1.02605378301, -112.21699072712, 25.87863761169],
449  [1.02605376740, 46.51292280560, 36.92323115163],
450  [1.02605385488, 13.97562138908, 50.41772025871],
451  [1.02605379272, -36.74606097804, 42.48407886988],
452  [1.02605384101, 107.00146913438, 50.41771961837],
453  [1.02605375523, -158.72990977078, 36.92323024763],
454  [1.02605385565, 140.78154683401, 50.41772029419],
455  [1.02605378015, -75.47092320856, 42.48407810369],
456  [1.02605381442, -126.19260960319, 50.41771839072],
457  [1.02605383084, 56.87807432731, 61.64519778692],
458  [1.02605384706, -14.33789625152, 61.64519827570],
459  [1.02605377753, 30.86566216850, 71.77950886770],
460  [1.02605381701, -42.13287071812, 67.99727322825],
461  [1.02605380498, 84.67305060271, 67.99727295686],
462  [1.02605381697, 123.89150656284, 71.77950959254],
463  [1.02605378091, -169.09506295665, 61.64519628217],
464  [1.02605380796, 163.10996149775, 67.99727302423],
465  [1.02605382262, -97.87909363115, 61.64519753931],
466  [1.02605381161, -70.08411643659, 67.99727310642],
467  [1.02605377527, -143.08264822785, 71.77950882609],
468  [1.02605379439, 52.13575161616, 87.12600115411],
469  [1.02605409485, -9.59556958271, 87.12600199642],
470  [1.02605375516, 15.64726159312, 92.87399895586],
471  [1.02605378623, -34.83840577676, 92.87399886876],
472  [1.02605380638, 102.62141758317, 87.12600118773],
473  [1.02605380638, 77.37858241682, 92.87399881226],
474  [1.02605378623, 145.16159422323, 87.12600113123],
475  [1.02605375516, -164.35273840687, 87.12600104413],
476  [1.02605409485, 170.40443041727, 92.87399800357],
477  [1.02605380638, -102.62141758317, 87.12600118773],
478  [1.02605380638, -77.37858241682, 92.87399881226],
479  [1.02605379439, -127.86424838383, 92.87399884588],
480  [1.02605377527, 36.91735177214, 108.22049117390],
481  [1.02605380796, -16.89003850224, 112.00272697576],
482  [1.02605378091, 10.90493704334, 118.35480371782],
483  [1.02605381697, -56.10849343714, 108.22049040744],
484  [1.02605381161, 109.91588356340, 112.00272689357],
485  [1.02605382262, 82.12090636884, 118.35480246068],
486  [1.02605381701, 137.86712928187, 112.00272677174],
487  [1.02605377753, -149.13433783149, 108.22049113229],
488  [1.02605384706, 165.66210374847, 118.35480172429],
489  [1.02605380498, -95.32694939728, 112.00272704313],
490  [1.02605383084, -123.12192567268, 118.35480221307],
491  [1.02605381442, 53.80739039680, 129.58228160927],
492  [1.02605385565, -39.21845316598, 129.58227970579],
493  [1.02605375523, 21.27009022921, 143.07676975236],
494  [1.02605384101, -72.99853086561, 129.58228038162],
495  [1.02605378015, 104.52907679143, 137.51592189630],
496  [1.02605379272, 143.25393902195, 137.51592113011],
497  [1.02605385488, -166.02437861090, 129.58227974128],
498  [1.02605376740, -133.48707719438, 143.07676884836],
499  [1.02605378301, 67.78300927287, 154.12136238830],
500  [1.02605376467, -25.24283448269, 154.12136449965],
501  [1.02605378350, -86.97415497019, 154.12136233275],
502  [1.02605379907, 179.99999999999, 154.12136053967],
503  [1.02605400000, 0.00000000000, 179.99999999999]
504  ],
505  [
506  [3,2,0],
507  [5,6,1],
508  [12,9,4],
509  [14,16,7],
510  [10,18,8],
511  [22,21,11],
512  [24,15,13],
513  [28,29,17],
514  [23,31,19],
515  [32,30,20],
516  [37,27,25],
517  [36,38,26],
518  [34,45,33],
519  [46,43,35],
520  [48,50,39],
521  [51,41,40],
522  [44,52,42],
523  [55,49,47],
524  [54,58,53],
525  [59,57,56],
526  [2,5,1,0],
527  [4,9,3,0],
528  [6,14,7,1],
529  [3,10,8,2],
530  [11,21,12,4],
531  [13,15,6,5],
532  [16,22,11,7],
533  [18,28,17,8],
534  [12,23,19,9],
535  [20,30,18,10],
536  [17,29,24,13],
537  [25,27,16,14],
538  [24,36,26,15],
539  [31,32,20,19],
540  [22,34,33,21],
541  [35,43,31,23],
542  [26,38,37,25],
543  [37,48,39,27],
544  [40,41,29,28],
545  [32,44,42,30],
546  [45,46,35,33],
547  [39,50,45,34],
548  [47,49,38,36],
549  [42,52,51,40],
550  [51,55,47,41],
551  [46,54,53,43],
552  [53,58,52,44],
553  [56,57,50,48],
554  [55,59,56,49],
555  [57,59,58,54],
556  [1,7,11,4,0],
557  [8,17,13,5,2],
558  [9,19,20,10,3],
559  [15,26,25,14,6],
560  [21,33,35,23,12],
561  [27,39,34,22,16],
562  [30,42,40,28,18],
563  [29,41,47,36,24],
564  [43,53,44,32,31],
565  [38,49,56,48,37],
566  [50,57,54,46,45],
567  [52,58,59,55,51]
568  ],
569  [
570  [0,1],
571  [0,2],
572  [0,3],
573  [0,4],
574  [1,5],
575  [1,6],
576  [1,7],
577  [2,3],
578  [2,5],
579  [2,8],
580  [3,9],
581  [3,10],
582  [4,9],
583  [4,11],
584  [4,12],
585  [5,6],
586  [5,13],
587  [6,14],
588  [6,15],
589  [7,11],
590  [7,14],
591  [7,16],
592  [8,10],
593  [8,17],
594  [8,18],
595  [9,12],
596  [9,19],
597  [10,18],
598  [10,20],
599  [11,21],
600  [11,22],
601  [12,21],
602  [12,23],
603  [13,15],
604  [13,17],
605  [13,24],
606  [14,16],
607  [14,25],
608  [15,24],
609  [15,26],
610  [16,22],
611  [16,27],
612  [17,28],
613  [17,29],
614  [18,28],
615  [18,30],
616  [19,20],
617  [19,23],
618  [19,31],
619  [20,30],
620  [20,32],
621  [21,22],
622  [21,33],
623  [22,34],
624  [23,31],
625  [23,35],
626  [24,29],
627  [24,36],
628  [25,26],
629  [25,27],
630  [25,37],
631  [26,36],
632  [26,38],
633  [27,37],
634  [27,39],
635  [28,29],
636  [28,40],
637  [29,41],
638  [30,32],
639  [30,42],
640  [31,32],
641  [31,43],
642  [32,44],
643  [33,34],
644  [33,35],
645  [33,45],
646  [34,39],
647  [34,45],
648  [35,43],
649  [35,46],
650  [36,38],
651  [36,47],
652  [37,38],
653  [37,48],
654  [38,49],
655  [39,48],
656  [39,50],
657  [40,41],
658  [40,42],
659  [40,51],
660  [41,47],
661  [41,51],
662  [42,44],
663  [42,52],
664  [43,46],
665  [43,53],
666  [44,52],
667  [44,53],
668  [45,46],
669  [45,50],
670  [46,54],
671  [47,49],
672  [47,55],
673  [48,50],
674  [48,56],
675  [49,55],
676  [49,56],
677  [50,57],
678  [51,52],
679  [51,55],
680  [52,58],
681  [53,54],
682  [53,58],
683  [54,57],
684  [54,58],
685  [55,59],
686  [56,57],
687  [56,59],
688  [57,59],
689  [58,59]
690  ]
691  ],
692  [
693  "rhombicuboctahedron",
694  "Rhombicuboctahedron",
695  empty_str,
696  "archimedean",
697  "George W. Hart, 1997. george@li.net",
698  [
699  [-0.38268328143, 0.92387933161, 0.38268275114],
700  [-0.38268343592, 0.92387933161, -0.38268395285],
701  [-0.92387956713, 0.38268363700, 0.38268319358],
702  [-0.38268348346, 0.38268394530, 0.92387928288],
703  [ 0.38268342775, 0.92387976304, 0.38268292984],
704  [-0.92387954291, 0.38268320557, -0.38268368911],
705  [-0.38268347397, 0.38268302193, -0.92388015529],
706  [ 0.38268345196, 0.92387933161, -0.38268395285],
707  [-0.92387953022, -0.38268325141, 0.38268356327],
708  [ 0.38268340442, 0.38268394530, 0.92387928288],
709  [-0.38268343288, -0.38268297614, 0.92387974597],
710  [ 0.92387952807, 0.38268362957, 0.38268319029],
711  [-0.92387952807, -0.38268362957, -0.38268319029],
712  [ 0.38268343288, 0.38268297614, -0.92387974597],
713  [-0.38268340442, -0.38268394530, -0.92387928288],
714  [ 0.92387953022, 0.38268325141, -0.38268356327],
715  [-0.38268345196, -0.92387933161, 0.38268395285],
716  [ 0.38268347397, -0.38268302193, 0.92388015529],
717  [ 0.92387954291, -0.38268320557, 0.38268368911],
718  [-0.38268342775, -0.92387976304, -0.38268292984],
719  [ 0.38268348346, -0.38268394530, -0.92387928288],
720  [ 0.92387956713, -0.38268363700, -0.38268319358],
721  [ 0.38268343592, -0.92387933161, 0.38268395285],
722  [ 0.38268328143, -0.92387933161, -0.38268275114]
723  ],
724  [
725  [1.07072200000, 112.49999641510, 69.05900891887],
726  [1.07072248472, 112.50000459306, 110.94105000815],
727  [1.07072248843, 157.49998992667, 69.05899357100],
728  [1.07072245696, 134.99996542698, 30.36121857159],
729  [1.07072248843, 67.50000529880, 69.05900868190],
730  [1.07072249045, 157.50001223320, 110.94103477982],
731  [1.07072287631, 135.00003384006, 149.63883548151],
732  [1.07072249045, 67.49999455764, 110.94104989073],
733  [1.07072245090, -157.50000952836, 69.05897162082],
734  [1.07072242871, 45.00004049049, 30.36121599080],
735  [1.07072249208, -135.00003419220, 30.36117275276],
736  [1.07072245090, 22.50001053653, 69.05899299087],
737  [1.07072245090, -157.49998946346, 110.94100700912],
738  [1.07072249208, 44.99996580779, 149.63882724723],
739  [1.07072242871, -134.99995950950, 149.63878400919],
740  [1.07072245090, 22.49999047163, 110.94102837917],
741  [1.07072249045, -112.50000544234, 69.05895010926],
742  [1.07072287631, -44.99996615993, 30.36116451848],
743  [1.07072249045, -22.49998776678, 69.05896522017],
744  [1.07072248843, -112.49999470119, 110.94099131809],
745  [1.07072245696, -45.00003457301, 149.63878142840],
746  [1.07072248843, -22.50001007332, 110.94100642899],
747  [1.07072248472, -67.49999540692, 69.05894999184],
748  [1.07072200000, -67.50000358489, 110.94099108112]
749  ],
750  [
751  [2,5,1,0],
752  [3,0,4,9],
753  [0,1,7,4],
754  [7,1,6,13],
755  [12,5,2,8],
756  [2,3,10,8],
757  [10,3,9,17],
758  [4,7,15,11],
759  [6,5,12,14],
760  [20,13,6,14],
761  [19,12,8,16],
762  [11,18,17,9],
763  [22,16,10,17],
764  [11,15,21,18],
765  [13,20,21,15],
766  [20,14,19,23],
767  [19,16,22,23],
768  [21,23,22,18],
769  [0,3,2],
770  [1,5,6],
771  [4,11,9],
772  [7,13,15],
773  [10,16,8],
774  [14,12,19],
775  [18,22,17],
776  [21,20,23]
777  ],
778  [
779  [0,1],
780  [0,2],
781  [0,3],
782  [0,4],
783  [1,5],
784  [1,6],
785  [1,7],
786  [2,3],
787  [2,5],
788  [2,8],
789  [3,9],
790  [3,10],
791  [4,7],
792  [4,9],
793  [4,11],
794  [5,6],
795  [5,12],
796  [6,13],
797  [6,14],
798  [7,13],
799  [7,15],
800  [8,10],
801  [8,12],
802  [8,16],
803  [9,11],
804  [9,17],
805  [10,16],
806  [10,17],
807  [11,15],
808  [11,18],
809  [12,14],
810  [12,19],
811  [13,15],
812  [13,20],
813  [14,19],
814  [14,20],
815  [15,21],
816  [16,19],
817  [16,22],
818  [17,18],
819  [17,22],
820  [18,21],
821  [18,22],
822  [19,23],
823  [20,21],
824  [20,23],
825  [21,23],
826  [22,23]
827  ]
828  ],
829  [
830  "snub_cuboctahedron",
831  "Snub Cuboctahedron",
832  empty_str,
833  "archimedean",
834  "George W. Hart, 1997. george@li.net",
835  [
836  [-0.27080486838, 0.91612592153, -0.49808755020],
837  [ 0.49808752302, 0.91612592153, -0.27080485082],
838  [ 0.27080461020, 0.49808762370, -0.91612594227],
839  [-0.49808776095, 0.27080472331, -0.91612586036],
840  [-0.91612603041, 0.49808754905, -0.27080459790],
841  [-0.49808755600, 0.91612592153, 0.27080487431],
842  [ 0.27080483540, 0.91612592153, 0.49808757369],
843  [ 0.91612638185, 0.49808776091, 0.27080461106],
844  [ 0.91612582460, 0.27080477644, -0.49808782776],
845  [ 0.49808737939, -0.27080467879, -0.91612587453],
846  [-0.27080496579, -0.49808761926, -0.91612588047],
847  [-0.91612638116, -0.27080488360, -0.49808748945],
848  [-0.91612582693, 0.27080476883, 0.49808776457],
849  [-0.27080454048, 0.49808753367, 0.91612582796],
850  [ 0.49808778376, 0.27080473693, 0.91612584341],
851  [ 0.91612599837, -0.27080473304, 0.49808741445],
852  [ 0.91612591445, -0.49808759505, -0.27080488342],
853  [ 0.27080470991, -0.91612597736, -0.49808767275],
854  [-0.49808763898, -0.91612596752, -0.27080463049],
855  [-0.91612587282, -0.49808764658, 0.27080495527],
856  [-0.49808740806, -0.27080480939, 0.91612601632],
857  [ 0.27080490915, -0.49808763944, 0.91612593107],
858  [ 0.49808769710, -0.91612596056, 0.27080465324],
859  [-0.27080465180, -0.91612595072, 0.49808769550]
860  ],
861  [
862  [1.07736400000, 106.46756696343, 117.53695200801],
863  [1.07736398302, 61.46756400888, 104.55792985199],
864  [1.07736398673, 61.46757444337, 148.24869417527],
865  [1.07736400896, 151.46757102596, 148.24868398663],
866  [1.07736402407, 151.46756561016, 104.55791538808],
867  [1.07736400417, 118.53243758301, 75.44206914970],
868  [1.07736400257, 73.53243493329, 62.46304665467],
869  [1.07736442417, 28.53243539300, 75.44208941452],
870  [1.07736402279, 16.46756332351, 117.53696802255],
871  [1.07736383341, -28.53244343978, 148.24870050408],
872  [1.07736402150, -118.53245734220, 148.24868494079],
873  [1.07736436659, -163.53243997559, 117.53693819966],
874  [1.07736399364, 163.53243715351, 62.46303495878],
875  [1.07736383038, 118.53242371225, 31.75130394128],
876  [1.07736400852, 28.53242908251, 31.75131768838],
877  [1.07736396857, -16.46755787311, 62.46305526226],
878  [1.07736401850, -28.53243965349, 104.55793115311],
879  [1.07736406430, -73.53244309997, 117.53695757482],
880  [1.07736402036, -118.53244038155, 104.55791723032],
881  [1.07736402498, -151.46755676624, 75.44206498868],
882  [1.07736400007, -151.46754634816, 31.75129948809],
883  [1.07736405962, -61.46754866063, 31.75131322146],
884  [1.07736404703, -61.46755663058, 75.44208188813],
885  [1.07736403756, -106.46755401042, 62.46304031944]
886  ],
887  [
888  [1,6,5,0],
889  [3,10,9,2],
890  [12,19,11,4],
891  [8,16,15,7],
892  [14,21,20,13],
893  [18,23,22,17],
894  [2,1,0],
895  [3,2,0],
896  [4,3,0],
897  [5,4,0],
898  [7,6,1],
899  [8,7,1],
900  [2,8,1],
901  [9,8,2],
902  [11,10,3],
903  [4,11,3],
904  [5,12,4],
905  [13,12,5],
906  [6,13,5],
907  [14,13,6],
908  [7,14,6],
909  [15,14,7],
910  [9,16,8],
911  [17,16,9],
912  [10,17,9],
913  [18,17,10],
914  [11,18,10],
915  [19,18,11],
916  [20,19,12],
917  [13,20,12],
918  [15,21,14],
919  [22,21,15],
920  [16,22,15],
921  [17,22,16],
922  [19,23,18],
923  [20,23,19],
924  [21,23,20],
925  [22,23,21]
926  ],
927  [
928  [0,1],
929  [0,2],
930  [0,3],
931  [0,4],
932  [0,5],
933  [1,2],
934  [1,6],
935  [1,7],
936  [1,8],
937  [2,3],
938  [2,8],
939  [2,9],
940  [3,4],
941  [3,10],
942  [3,11],
943  [4,5],
944  [4,11],
945  [4,12],
946  [5,6],
947  [5,12],
948  [5,13],
949  [6,7],
950  [6,13],
951  [6,14],
952  [7,8],
953  [7,14],
954  [7,15],
955  [8,9],
956  [8,16],
957  [9,10],
958  [9,16],
959  [9,17],
960  [10,11],
961  [10,17],
962  [10,18],
963  [11,18],
964  [11,19],
965  [12,13],
966  [12,19],
967  [12,20],
968  [13,14],
969  [13,20],
970  [14,15],
971  [14,21],
972  [15,16],
973  [15,21],
974  [15,22],
975  [16,17],
976  [16,22],
977  [17,18],
978  [17,22],
979  [18,19],
980  [18,23],
981  [19,20],
982  [19,23],
983  [20,21],
984  [20,23],
985  [21,22],
986  [21,23],
987  [22,23]
988  ]
989  ],
990  [
991  "snub_icosidodecahedron",
992  "Snub Icosidodecahedron",
993  "Snub Dodecahedron",
994  "archimedean",
995  "George W. Hart, 1997. george@li.net",
996  [
997  [ 0.00000000000, 0.00000000000, 1.02803100000],
998  [ 0.46385690000, 0.00000000000, 0.91743420000],
999  [ 0.21874360000, 0.40904090000, 0.91743420000],
1000  [-0.25754860000, 0.38578740000, 0.91743420000],
1001  [-0.46165090000, -0.04518499000, 0.91743420000],
1002  [-0.17785800000, -0.42840370000, 0.91743420000],
1003  [ 0.57267820000, -0.42840370000, 0.73848410000],
1004  [ 0.82594010000, -0.04518499000, 0.61043420000],
1005  [ 0.64379550000, 0.38578740000, 0.70252700000],
1006  [ 0.34964800000, 0.74964330000, 0.61043420000],
1007  [-0.42100900000, 0.71201840000, 0.61043420000],
1008  [-0.67831390000, 0.32123960000, 0.70252700000],
1009  [-0.60315360000, -0.44666580000, 0.70252700000],
1010  [-0.27496120000, -0.78013790000, 0.61043420000],
1011  [ 0.17607660000, -0.69317170000, 0.73848410000],
1012  [ 0.52081380000, -0.78013790000, 0.42069780000],
1013  [ 0.85525180000, -0.44666580000, 0.35479980000],
1014  [ 1.01294000000, -0.03548596000, 0.17187760000],
1015  [ 0.71822390000, 0.66184200000, 0.32088680000],
1016  [ 0.36336910000, 0.94545680000, 0.17584960000],
1017  [-0.04574087000, 0.93689370000, 0.42069780000],
1018  [-0.45373940000, 0.90556400000, 0.17584960000],
1019  [-0.77927910000, 0.58873120000, 0.32088680000],
1020  [-0.95372170000, 0.14622170000, 0.35479980000],
1021  [-0.90727010000, -0.32836990000, 0.35479980000],
1022  [-0.65033710000, -0.72865770000, 0.32088680000],
1023  [ 0.08459482000, -0.96115010000, 0.35479980000],
1024  [ 0.39491530000, -0.94912620000, -0.00707255800],
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1028  [ 0.67045780000, 0.76628260000, -0.14193660000],
1029  [-0.05007646000, 1.02569800000, -0.04779978000],
1030  [-0.42943370000, 0.88457840000, -0.29992740000],
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1034  [-0.52277610000, -0.87785350000, -0.11369780000],
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1043  [-0.73995170000, 0.55477580000, -0.44893660000],
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1045  [-0.65939980000, -0.61827980000, -0.48966390000],
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1049  [ 0.51177350000, 0.34222520000, -0.82329730000],
1050  [ 0.09739587000, 0.57719410000, -0.84510930000],
1051  [-0.60189460000, 0.25525910000, -0.79335640000],
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1055  [ 0.12773540000, 0.13136350000, -1.01157100000],
1056  [-0.30444990000, -0.06760332000, -0.97958600000]
1057  ],
1058  [
1059  [1.02803100000, 0.00000000000, 0.00000000000],
1060  [1.02803148542, 0.00000000000, 26.82126872907],
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1118  [1.02803145958, -167.48055647785, 162.34037858498]
1119  ],
1120  [
1121  [2,1,0],
1122  [3,2,0],
1123  [4,3,0],
1124  [5,4,0],
1125  [7,6,1],
1126  [8,7,1],
1127  [2,8,1],
1128  [9,8,2],
1129  [11,10,3],
1130  [4,11,3],
1131  [5,12,4],
1132  [13,12,5],
1133  [14,13,5],
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1149  [27,26,15],
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1157  [33,32,21],
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1159  [35,34,23],
1160  [24,35,23],
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1162  [25,36,24],
1163  [37,36,25],
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1165  [39,38,27],
1166  [40,39,27],
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1169  [30,42,29],
1170  [31,42,30],
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1172  [33,44,32],
1173  [45,44,33],
1174  [46,45,33],
1175  [47,46,34],
1176  [35,47,34],
1177  [37,48,36],
1178  [49,48,37],
1179  [38,49,37],
1180  [39,49,38],
1181  [40,50,39],
1182  [41,50,40],
1183  [51,50,41],
1184  [43,52,42],
1185  [53,52,43],
1186  [44,53,43],
1187  [45,53,44],
1188  [46,54,45],
1189  [47,54,46],
1190  [55,54,47],
1191  [56,55,48],
1192  [49,56,48],
1193  [51,57,50],
1194  [58,57,51],
1195  [52,58,51],
1196  [53,58,52],
1197  [55,59,54],
1198  [56,59,55],
1199  [57,59,56],
1200  [58,59,57],
1201  [1,6,14,5,0],
1202  [3,10,20,9,2],
1203  [12,24,23,11,4],
1204  [8,18,30,17,7],
1205  [26,38,37,25,13],
1206  [16,28,40,27,15],
1207  [32,44,43,31,19],
1208  [22,34,46,33,21],
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1210  [36,48,55,47,35],
1211  [50,57,56,49,39],
1212  [54,59,58,53,45]
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1289  [25,36],
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1293  [27,38],
1294  [27,39],
1295  [27,40],
1296  [28,29],
1297  [28,40],
1298  [28,41],
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1300  [29,41],
1301  [29,42],
1302  [30,31],
1303  [30,42],
1304  [31,42],
1305  [31,43],
1306  [32,33],
1307  [32,44],
1308  [33,44],
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1310  [33,46],
1311  [34,35],
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1313  [34,47],
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1318  [37,38],
1319  [37,48],
1320  [37,49],
1321  [38,39],
1322  [38,49],
1323  [39,40],
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1325  [39,50],
1326  [40,41],
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1328  [41,50],
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1330  [42,43],
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1335  [44,45],
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1357  [54,59],
1358  [55,56],
1359  [55,59],
1360  [56,57],
1361  [56,59],
1362  [57,58],
1363  [57,59],
1364  [58,59]
1365  ]
1366  ],
1367  [
1368  "truncated_cube",
1369  "Truncated Cube",
1370  empty_str,
1371  "archimedean",
1372  "George W. Hart, 1997. george@li.net",
1373  [
1374  [-0.29289338102, 0.70710695251, -0.70710688668],
1375  [-0.70710681195, 0.70710683515, -0.29289306754],
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1377  [-0.70710691814, 0.29289326544, -0.70710663182],
1378  [-0.70710668246, 0.70710682884, 0.29289334392],
1379  [ 0.70710662250, 0.29289318824, -0.70710690325],
1380  [ 0.70710681060, 0.70710673807, -0.29289339277],
1381  [-0.70710695592, -0.29289320029, -0.70710666505],
1382  [-0.70710699991, 0.29289339044, 0.70710719193],
1383  [-0.29289298576, 0.70710681527, 0.70710683091],
1384  [ 0.70710699991, -0.29289339044, -0.70710719193],
1385  [ 0.70710686379, 0.70710673807, 0.29289308607],
1386  [-0.29289344731, -0.70710676370, -0.70710668854],
1387  [-0.70710686379, -0.70710673807, -0.29289308607],
1388  [-0.70710662250, -0.29289318824, 0.70710690325],
1389  [ 0.29289344731, 0.70710676370, 0.70710668854],
1390  [ 0.29289298576, -0.70710681527, -0.70710683091],
1391  [ 0.70710668246, -0.70710682884, -0.29289334392],
1392  [ 0.70710695592, 0.29289320029, 0.70710666505],
1393  [-0.70710681060, -0.70710673807, 0.29289339277],
1394  [-0.29289311951, -0.70710673807, 0.70710686619],
1395  [ 0.70710681195, -0.70710683515, 0.29289306754],
1396  [ 0.70710691814, -0.29289326544, 0.70710663182],
1397  [ 0.29289338102, -0.70710695251, 0.70710688668]
1398  ],
1399  [
1400  [1.04201100000, 112.50000631013, 132.73420563930],
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1409  [1.04201075792, 112.49998290493, 47.26578623800],
1410  [1.04201124196, -22.50000560423, 132.73421619912],
1411  [1.04201075605, 44.99999490651, 73.67505749969],
1412  [1.04201075605, -112.50001630446, 132.73420319926],
1413  [1.04201075605, -135.00000509348, 106.32494250030],
1414  [1.04201073312, -157.49999756815, 47.26577956219],
1415  [1.04201075605, 67.49998369553, 47.26579680073],
1416  [1.04201075792, -67.50001709506, 132.73421376199],
1417  [1.04201076707, -45.00000593040, 106.32495709695],
1418  [1.04201080111, 22.49999371354, 47.26580084881],
1419  [1.04201080616, -135.00000293831, 73.67504073368],
1420  [1.04201076707, -112.49999436733, 47.26578406195],
1421  [1.04201078153, -45.00000093969, 73.67505897173],
1422  [1.04201077124, -22.49999930152, 47.26580181853],
1423  [1.04201100000, -67.49999368986, 47.26579436069]
1424  ],
1425  [
1426  [2,6,11,15,9,4,1,0],
1427  [3,7,12,16,10,5,2,0],
1428  [4,8,14,19,13,7,3,1],
1429  [10,17,21,22,18,11,6,5],
1430  [9,15,18,22,23,20,14,8],
1431  [13,19,20,23,21,17,16,12],
1432  [1,3,0],
1433  [5,6,2],
1434  [9,8,4],
1435  [13,12,7],
1436  [16,17,10],
1437  [18,15,11],
1438  [20,19,14],
1439  [23,22,21]
1440  ],
1441  [
1442  [0,1],
1443  [0,2],
1444  [0,3],
1445  [1,3],
1446  [1,4],
1447  [2,5],
1448  [2,6],
1449  [3,7],
1450  [4,8],
1451  [4,9],
1452  [5,6],
1453  [5,10],
1454  [6,11],
1455  [7,12],
1456  [7,13],
1457  [8,9],
1458  [8,14],
1459  [9,15],
1460  [10,16],
1461  [10,17],
1462  [11,15],
1463  [11,18],
1464  [12,13],
1465  [12,16],
1466  [13,19],
1467  [14,19],
1468  [14,20],
1469  [15,18],
1470  [16,17],
1471  [17,21],
1472  [18,22],
1473  [19,20],
1474  [20,23],
1475  [21,22],
1476  [21,23],
1477  [22,23]
1478  ]
1479  ],
1480  [
1481  "truncated_cuboctahedron",
1482  "Truncated Cuboctahedron",
1483  "Great Rhombicuboctahedron",
1484  "archimedean",
1485  "George W. Hart, 1997. george@li.net",
1486  [
1487  [ 0.00000000000, 0.00000000000, 1.02411700000],
1488  [ 0.43147880000, 0.00000000000, 0.92878500000],
1489  [-0.02106287000, 0.43096440000, 0.92878500000],
1490  [-0.34105820000, -0.26429770000, 0.92878500000],
1491  [ 0.41041590000, 0.43096440000, 0.83345300000],
1492  [ 0.70062380000, -0.26429770000, 0.69863330000],
1493  [-0.38318390000, 0.59763110000, 0.73812110000],
1494  [-0.39190840000, -0.63807120000, 0.69863330000],
1495  [-0.70317920000, -0.09763107000, 0.73812110000],
1496  [ 0.65849810000, 0.59763110000, 0.50796940000],
1497  [ 0.64977360000, -0.63807120000, 0.46848160000],
1498  [ 0.94870600000, -0.09763107000, 0.37314960000],
1499  [-0.46382160000, 0.83333330000, 0.37314960000],
1500  [-0.72424210000, 0.33333330000, 0.64278910000],
1501  [-0.75402950000, -0.47140450000, 0.50796940000],
1502  [-0.12276340000, -0.90236890000, 0.46848160000],
1503  [ 0.57786040000, 0.83333330000, 0.14299790000],
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1913  [36,37],
1914  [37,45],
1915  [38,46],
1916  [38,47],
1917  [39,48],
1918  [39,49],
1919  [40,41],
1920  [40,50],
1921  [41,42],
1922  [42,43],
1923  [43,51],
1924  [44,52],
1925  [44,53],
1926  [45,51],
1927  [45,54],
1928  [46,47],
1929  [46,52],
1930  [47,48],
1931  [48,49],
1932  [49,55],
1933  [50,55],
1934  [50,56],
1935  [51,54],
1936  [52,53],
1937  [53,57],
1938  [54,58],
1939  [55,56],
1940  [56,59],
1941  [57,58],
1942  [57,59],
1943  [58,59]
1944  ]
1945  ],
1946  [
1947  "truncated_icosahedron",
1948  "Truncated Icosahedron",
1949  "Soccer Ball",
1950  "archimedean",
1951  "George W. Hart, 1997. george@li.net",
1952  [
1953  [ 0.00000000000, 0.00000000000, 1.02100000000],
1954  [ 0.40354820000, 0.00000000000, 0.93786430000],
1955  [-0.22746440000, 0.33333330000, 0.93786430000],
1956  [-0.14712260000, -0.37577400000, 0.93786430000],
1957  [ 0.57963200000, 0.33333330000, 0.77159330000],
1958  [ 0.50583210000, -0.37577400000, 0.80334830000],
1959  [-0.60205140000, 0.29089270000, 0.77159330000],
1960  [-0.05138057000, 0.66666670000, 0.77159330000],
1961  [ 0.16549880000, -0.60801510000, 0.80334830000],
1962  [-0.52170960000, -0.41821470000, 0.77159330000],
1963  [ 0.85799980000, 0.29089270000, 0.47080620000],
1964  [ 0.35216760000, 0.66666670000, 0.68845780000],
1965  [ 0.78419990000, -0.41821470000, 0.50256120000],
1966  [-0.65747500000, 0.59799620000, 0.50256120000],
1967  [-0.74917400000, -0.08488134000, 0.68845780000],
1968  [-0.31714180000, 0.83023730000, 0.50256120000],
1969  [ 0.10353330000, -0.88269690000, 0.50256120000],
1970  [-0.58367510000, -0.69289640000, 0.47080620000],
1971  [ 0.80257610000, 0.59799620000, 0.20177410000],
1972  [ 0.96028370000, -0.08488134000, 0.33629020000],
1973  [ 0.48995470000, 0.83023730000, 0.33629020000],
1974  [ 0.72223430000, -0.69289640000, 0.20177410000],
1975  [-0.86002130000, 0.52932580000, 0.15039350000],
1976  [-0.95172030000, -0.15355180000, 0.33629020000],
1977  [-0.17935480000, 0.99380800000, 0.15039350000],
1978  [ 0.38190100000, -0.92513750000, 0.20177410000],
1979  [-0.27105370000, -0.92513750000, 0.33629020000],
1980  [-0.84943630000, -0.52932580000, 0.20177410000],
1981  [ 0.84943630000, 0.52932580000, -0.20177410000],
1982  [ 1.00714400000, -0.15355180000, -0.06725804000],
1983  [ 0.22419350000, 0.99380800000, 0.06725804000],
1984  [ 0.86002130000, -0.52932580000, -0.15039350000],
1985  [-0.72223430000, 0.69289640000, -0.20177410000],
1986  [-1.00714400000, 0.15355180000, 0.06725804000],
1987  [-0.38190100000, 0.92513750000, -0.20177410000],
1988  [ 0.17935480000, -0.99380800000, -0.15039350000],
1989  [-0.22419350000, -0.99380800000, -0.06725804000],
1990  [-0.80257610000, -0.59799620000, -0.20177410000],
1991  [ 0.58367510000, 0.69289640000, -0.47080620000],
1992  [ 0.95172030000, 0.15355180000, -0.33629020000],
1993  [ 0.27105370000, 0.92513750000, -0.33629020000],
1994  [ 0.65747500000, -0.59799620000, -0.50256120000],
1995  [-0.78419990000, 0.41821470000, -0.50256120000],
1996  [-0.96028370000, 0.08488134000, -0.33629020000],
1997  [-0.10353330000, 0.88269690000, -0.50256120000],
1998  [ 0.31714180000, -0.83023730000, -0.50256120000],
1999  [-0.48995470000, -0.83023730000, -0.33629020000],
2000  [-0.85799980000, -0.29089270000, -0.47080620000],
2001  [ 0.52170960000, 0.41821470000, -0.77159330000],
2002  [ 0.74917400000, 0.08488134000, -0.68845780000],
2003  [ 0.60205140000, -0.29089270000, -0.77159330000],
2004  [-0.50583210000, 0.37577400000, -0.80334830000],
2005  [-0.16549880000, 0.60801510000, -0.80334830000],
2006  [ 0.05138057000, -0.66666670000, -0.77159330000],
2007  [-0.35216760000, -0.66666670000, -0.68845780000],
2008  [-0.57963200000, -0.33333330000, -0.77159330000],
2009  [ 0.14712260000, 0.37577400000, -0.93786430000],
2010  [ 0.22746440000, -0.33333330000, -0.93786430000],
2011  [-0.40354820000, 0.00000000000, -0.93786430000],
2012  [ 0.00000000000, 0.00000000000, -1.02100000000]
2013  ],
2014  [
2015  [1.02100000000, 0.00000000000, 0.00000000000],
2016  [1.02099980163, 0.00000000000, 23.28144638293],
2017  [1.02099979793, 124.30936434470, 23.28144589964],
2018  [1.02099980594, -111.38127902894, 23.28144694392],
2019  [1.02099978693, 29.90223722693, 40.91139210327],
2020  [1.02099985484, -36.60802452007, 38.11020697864],
2021  [1.02099983926, 154.21159674586, 40.91139549154],
2022  [1.02099983960, 94.40712229420, 40.91139551397],
2023  [1.02099985590, -74.77325938912, 38.11020705442],
2024  [1.02099983479, -141.28351568403, 40.91139520210],
2025  [1.02099985195, 18.72850168715, 62.54042349524],
2026  [1.02099982848, 62.15468446190, 47.60036644159],
2027  [1.02099989138, -28.07105081702, 60.51310082742],
2028  [1.02099979950, 137.71239836034, 60.51309791186],
2029  [1.02099983670, -173.53595915020, 47.60036686260],
2030  [1.02099983123, 110.90632399834, 60.51309891853],
2031  [1.02099986348, -83.31022869146, 60.51309994199],
2032  [1.02099976565, -130.10977924110, 62.54042097858],
2033  [1.02099982318, 36.68964578432, 78.60194693065],
2034  [1.02099986532, -5.05135680674, 70.76925197952],
2035  [1.02099984377, 59.45352419280, 70.76925155768],
2036  [1.02099980052, -43.81233790609, 78.60194667427],
2037  [1.02099982558, 148.38853924145, 81.52949732417],
2038  [1.02099989389, -170.83480568164, 70.76925253889],
2039  [1.02099984818, 100.23018223788, 81.52949751303],
2040  [1.02099978214, -67.56894045029, 78.60194646638],
2041  [1.02099980451, -106.32992359903, 70.76925078909],
2042  [1.02099981280, -148.07092378406, 78.60194681318],
2043  [1.02099981280, 31.92907621593, 101.39805318680],
2044  [1.02099991967, -8.66870768157, 93.77707609267],
2045  [1.02099985811, 77.28742557611, 86.22292367924],
2046  [1.02099982558, -31.61146075854, 98.47050267582],
2047  [1.02099980052, 136.18766209390, 101.39805332572],
2048  [1.02099991967, 171.33129231842, 86.22292390732],
2049  [1.02099978214, 112.43105954969, 101.39805353360],
2050  [1.02099984818, -79.76981776211, 98.47050248695],
2051  [1.02099985811, -102.71257442388, 93.77707632074],
2052  [1.02099982318, -143.31035421567, 101.39805306934],
2053  [1.02099976565, 49.89022075889, 117.45957902141],
2054  [1.02099989389, 9.16519431835, 109.23074746110],
2055  [1.02099980451, 73.67007640096, 109.23074921090],
2056  [1.02099979950, -42.28760163965, 119.48690208813],
2057  [1.02099989138, 151.92894918297, 119.48689917256],
2058  [1.02099986532, 174.94864319325, 109.23074802047],
2059  [1.02099986348, 96.68977130853, 119.48690005800],
2060  [1.02099983123, -69.09367600165, 119.48690108146],
2061  [1.02099984377, -120.54647580719, 109.23074844231],
2062  [1.02099985195, -161.27149831284, 117.45957650474],
2063  [1.02099983479, 38.71648431595, 139.08860479789],
2064  [1.02099983670, 6.46404084979, 132.39963313738],
2065  [1.02099983926, -25.78840325413, 139.08860450844],
2066  [1.02099985484, 143.39197547992, 141.88979302135],
2067  [1.02099985590, 105.22674061087, 141.88979294557],
2068  [1.02099983960, -85.59287770579, 139.08860448602],
2069  [1.02099982848, -117.84531553809, 132.39963355840],
2070  [1.02099978693, -150.09776277306, 139.08860789672],
2071  [1.02099980594, 68.61872097105, 156.71855305607],
2072  [1.02099979793, -55.69063565529, 156.71855410035],
2073  [1.02099980163, 179.99999999999, 156.71855361706],
2074  [1.02100000000, 0.00000000000, 179.99999999999]
2075  ],
2076  [
2077  [1,5,8,3,0],
2078  [6,13,15,7,2],
2079  [11,20,18,10,4],
2080  [17,27,23,14,9],
2081  [19,29,31,21,12],
2082  [25,35,36,26,16],
2083  [33,43,42,32,22],
2084  [34,44,40,30,24],
2085  [38,48,49,39,28],
2086  [46,54,55,47,37],
2087  [50,57,53,45,41],
2088  [58,59,56,52,51],
2089  [2,7,11,4,1,0],
2090  [3,9,14,6,2,0],
2091  [4,10,19,12,5,1],
2092  [8,16,26,17,9,3],
2093  [12,21,25,16,8,5],
2094  [14,23,33,22,13,6],
2095  [15,24,30,20,11,7],
2096  [18,28,39,29,19,10],
2097  [22,32,34,24,15,13],
2098  [26,36,46,37,27,17],
2099  [20,30,40,38,28,18],
2100  [31,41,45,35,25,21],
2101  [27,37,47,43,33,23],
2102  [39,49,50,41,31,29],
2103  [42,51,52,44,34,32],
2104  [45,53,54,46,36,35],
2105  [40,44,52,56,48,38],
2106  [43,47,55,58,51,42],
2107  [56,59,57,50,49,48],
2108  [57,59,58,55,54,53]
2109  ],
2110  [
2111  [0,1],
2112  [0,2],
2113  [0,3],
2114  [1,4],
2115  [1,5],
2116  [2,6],
2117  [2,7],
2118  [3,8],
2119  [3,9],
2120  [4,10],
2121  [4,11],
2122  [5,8],
2123  [5,12],
2124  [6,13],
2125  [6,14],
2126  [7,11],
2127  [7,15],
2128  [8,16],
2129  [9,14],
2130  [9,17],
2131  [10,18],
2132  [10,19],
2133  [11,20],
2134  [12,19],
2135  [12,21],
2136  [13,15],
2137  [13,22],
2138  [14,23],
2139  [15,24],
2140  [16,25],
2141  [16,26],
2142  [17,26],
2143  [17,27],
2144  [18,20],
2145  [18,28],
2146  [19,29],
2147  [20,30],
2148  [21,25],
2149  [21,31],
2150  [22,32],
2151  [22,33],
2152  [23,27],
2153  [23,33],
2154  [24,30],
2155  [24,34],
2156  [25,35],
2157  [26,36],
2158  [27,37],
2159  [28,38],
2160  [28,39],
2161  [29,31],
2162  [29,39],
2163  [30,40],
2164  [31,41],
2165  [32,34],
2166  [32,42],
2167  [33,43],
2168  [34,44],
2169  [35,36],
2170  [35,45],
2171  [36,46],
2172  [37,46],
2173  [37,47],
2174  [38,40],
2175  [38,48],
2176  [39,49],
2177  [40,44],
2178  [41,45],
2179  [41,50],
2180  [42,43],
2181  [42,51],
2182  [43,47],
2183  [44,52],
2184  [45,53],
2185  [46,54],
2186  [47,55],
2187  [48,49],
2188  [48,56],
2189  [49,50],
2190  [50,57],
2191  [51,52],
2192  [51,58],
2193  [52,56],
2194  [53,54],
2195  [53,57],
2196  [54,55],
2197  [55,58],
2198  [56,59],
2199  [57,59],
2200  [58,59]
2201  ]
2202  ],
2203  [
2204  "truncated_icosidodecahedron",
2205  "Truncated Icosidodecahedron",
2206  "Great Rhombicosidodecahedron",
2207  "archimedean",
2208  "George W. Hart, 1997. george@li.net",
2209  [
2210  [ 0.00000000000, 0.00000000000, 1.00875900000],
2211  [ 0.26299220000, 0.00000000000, 0.97387400000],
2212  [-0.00462747000, 0.26295150000, 0.97387400000],
2213  [-0.22113630000, -0.14235030000, 0.97387400000],
2214  [ 0.25836470000, 0.26295150000, 0.93898860000],
2215  [ 0.46738610000, -0.14235030000, 0.88254290000],
2216  [-0.23039130000, 0.38355260000, 0.90410330000],
2217  [-0.31595020000, -0.37267800000, 0.88254290000],
2218  [-0.44690010000, -0.02174919000, 0.90410330000],
2219  [ 0.45813120000, 0.38355260000, 0.81277220000],
2220  [ 0.53511040000, -0.37267800000, 0.76965150000],
2221  [ 0.66715260000, -0.02174919000, 0.75632650000],
2222  [-0.33269260000, 0.57868930000, 0.75632650000],
2223  [-0.45152760000, 0.24120230000, 0.86921790000],
2224  [-0.54171400000, -0.25207690000, 0.81277220000],
2225  [-0.24822600000, -0.60300570000, 0.76965150000],
2226  [ 0.51836800000, 0.57868930000, 0.64343510000],
2227  [ 0.66252520000, 0.24120230000, 0.72144120000],
2228  [ 0.73487680000, -0.25207690000, 0.64343510000],
2229  [ 0.44029650000, -0.60300570000, 0.67832050000],
2230  [-0.55382890000, 0.43633900000, 0.72144120000],
2231  [-0.27245570000, 0.77382610000, 0.58698940000],
2232  [-0.69975360000, -0.36180340000, 0.63011010000],
2233  [-0.04383203000, -0.74535600000, 0.67832050000],
2234  [-0.40626560000, -0.71273220000, 0.58698940000],
2235  [ 0.72276200000, 0.43633900000, 0.55210400000],
2236  [ 0.41606670000, 0.77382610000, 0.49565830000],
2237  [ 0.83982940000, -0.36180340000, 0.42588760000],
2238  [ 0.21916010000, -0.74535600000, 0.64343510000],
2239  [ 0.54524910000, -0.71273220000, 0.46077300000],
2240  [-0.71472840000, 0.48912540000, 0.51721870000],
2241  [-0.07268925000, 0.89442720000, 0.46077300000],
2242  [-0.43335530000, 0.82661250000, 0.38276690000],
2243  [-0.86065310000, -0.30901700000, 0.42588760000],
2244  [-0.63202940000, -0.59213110000, 0.51721870000],
2245  [-0.20187160000, -0.85508250000, 0.49565830000],
2246  [ 0.82485460000, 0.48912540000, 0.31299620000],
2247  [ 0.19030290000, 0.89442720000, 0.42588760000],
2248  [ 0.51815940000, 0.82661250000, 0.25655050000],
2249  [ 0.94192210000, -0.30901700000, 0.18677980000],
2250  [ 0.74501560000, -0.59213110000, 0.33455660000],
2251  [ 0.32411270000, -0.85508250000, 0.42588760000],
2252  [-0.87276790000, 0.37939890000, 0.33455660000],
2253  [-0.65449160000, 0.68426210000, 0.34788160000],
2254  [-0.23358880000, 0.94721360000, 0.25655050000],
2255  [-0.79292890000, -0.53934470000, 0.31299620000],
2256  [-0.96295440000, -0.11388030000, 0.27811090000],
2257  [-0.09691900000, -0.96480910000, 0.27811090000],
2258  [ 0.92980720000, 0.37939890000, 0.09544872000],
2259  [ 0.72255330000, 0.68426210000, 0.16521940000],
2260  [ 0.29239560000, 0.94721360000, 0.18677980000],
2261  [ 0.84710820000, -0.53934470000, 0.09544872000],
2262  [ 1.00215900000, -0.11388030000, 0.01744268000],
2263  [ 0.16607320000, -0.96480910000, 0.24322550000],
2264  [-0.81253110000, 0.57453560000, 0.16521940000],
2265  [-0.96758180000, 0.14907120000, 0.24322550000],
2266  [-0.13149610000, 1.00000000000, 0.01744268000],
2267  [-0.82750590000, -0.57453560000, 0.05232804000],
2268  [-0.99753150000, -0.14907120000, 0.01744268000],
2269  [-0.13149610000, -1.00000000000, 0.01744268000],
2270  [ 0.82750590000, 0.57453560000, -0.05232804000],
2271  [ 0.99753150000, 0.14907120000, -0.01744268000],
2272  [ 0.13149610000, 1.00000000000, -0.01744268000],
2273  [ 0.81253110000, -0.57453560000, -0.16521940000],
2274  [ 0.96758180000, -0.14907120000, -0.24322550000],
2275  [ 0.13149610000, -1.00000000000, -0.01744268000],
2276  [-0.84710820000, 0.53934470000, -0.09544872000],
2277  [-1.00215900000, 0.11388030000, -0.01744268000],
2278  [-0.16607320000, 0.96480910000, -0.24322550000],
2279  [-0.72255330000, -0.68426210000, -0.16521940000],
2280  [-0.92980720000, -0.37939890000, -0.09544872000],
2281  [-0.29239560000, -0.94721360000, -0.18677980000],
2282  [ 0.79292890000, 0.53934470000, -0.31299620000],
2283  [ 0.96295440000, 0.11388030000, -0.27811090000],
2284  [ 0.09691900000, 0.96480910000, -0.27811090000],
2285  [ 0.65449160000, -0.68426210000, -0.34788160000],
2286  [ 0.87276790000, -0.37939890000, -0.33455660000],
2287  [ 0.23358880000, -0.94721360000, -0.25655050000],
2288  [-0.74501560000, 0.59213110000, -0.33455660000],
2289  [-0.94192210000, 0.30901700000, -0.18677980000],
2290  [-0.32411270000, 0.85508250000, -0.42588760000],
2291  [-0.82485460000, -0.48912540000, -0.31299620000],
2292  [-0.51815940000, -0.82661250000, -0.25655050000],
2293  [-0.19030290000, -0.89442720000, -0.42588760000],
2294  [ 0.63202940000, 0.59213110000, -0.51721870000],
2295  [ 0.86065310000, 0.30901700000, -0.42588760000],
2296  [ 0.20187160000, 0.85508250000, -0.49565830000],
2297  [ 0.71472840000, -0.48912540000, -0.51721870000],
2298  [ 0.43335530000, -0.82661250000, -0.38276690000],
2299  [ 0.07268925000, -0.89442720000, -0.46077300000],
2300  [-0.83982940000, 0.36180340000, -0.42588760000],
2301  [-0.54524910000, 0.71273220000, -0.46077300000],
2302  [-0.21916010000, 0.74535600000, -0.64343510000],
2303  [-0.72276200000, -0.43633900000, -0.55210400000],
2304  [-0.41606670000, -0.77382610000, -0.49565830000],
2305  [ 0.69975360000, 0.36180340000, -0.63011010000],
2306  [ 0.40626560000, 0.71273220000, -0.58698940000],
2307  [ 0.04383203000, 0.74535600000, -0.67832050000],
2308  [ 0.55382890000, -0.43633900000, -0.72144120000],
2309  [ 0.27245570000, -0.77382610000, -0.58698940000],
2310  [-0.73487680000, 0.25207690000, -0.64343510000],
2311  [-0.44029650000, 0.60300570000, -0.67832050000],
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2700  [
2701  "truncated_octahedron",
2702  "Truncated Octahedron",
2703  empty_str,
2704  "archimedean",
2705  "Exact Mathematics",
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2757  ],
2758  [
2759  [7,3,1,9],
2760  [12,7,9,17,22,20],
2761  [1,0,8,16,17,9],
2762  [11,4,5,10],
2763  [16,23,22,17],
2764  [14,10,5,3,7,12],
2765  [4,2,0,1,3,5],
2766  [21,13,15,19],
2767  [19,18,20,22,23,21],
2768  [14,18,19,15,11,10],
2769  [18,14,12,20],
2770  [23,16,8,6,13,21],
2771  [15,13,6,2,4,11],
2772  [2,6,8,0]
2773  ],
2774  [
2775  [0,1],
2776  [0,2],
2777  [0,8],
2778  [1,3],
2779  [1,9],
2780  [2,4],
2781  [2,6],
2782  [3,5],
2783  [3,7],
2784  [4,5],
2785  [4,11],
2786  [5,10],
2787  [6,8],
2788  [6,13],
2789  [7,9],
2790  [7,12],
2791  [8,16],
2792  [9,17],
2793  [10,11],
2794  [10,14],
2795  [11,15],
2796  [12,14],
2797  [12,20],
2798  [13,15],
2799  [13,21],
2800  [14,18],
2801  [15,19],
2802  [16,17],
2803  [16,23],
2804  [17,22],
2805  [18,19],
2806  [18,20],
2807  [19,21],
2808  [20,22],
2809  [21,23],
2810  [22,23]
2811  ]
2812  ],
2813  [
2814  "truncated_tetrahedron",
2815  "Truncated Tetrahedron",
2816  empty_str,
2817  "archimedean",
2818  "Exact Mathematics",
2819  [
2820  [ 1.00000000000, 1.00000000000, -3.00000000000],
2821  [ 3.00000000000, 1.00000000000, -1.00000000000],
2822  [ 1.00000000000, 3.00000000000, -1.00000000000],
2823  [-1.00000000000, 1.00000000000, 3.00000000000],
2824  [-3.00000000000, 1.00000000000, 1.00000000000],
2825  [-1.00000000000, 3.00000000000, 1.00000000000],
2826  [ 1.00000000000, -1.00000000000, 3.00000000000],
2827  [ 3.00000000000, -1.00000000000, 1.00000000000],
2828  [ 1.00000000000, -3.00000000000, 1.00000000000],
2829  [-1.00000000000, -1.00000000000, -3.00000000000],
2830  [-3.00000000000, -1.00000000000, -1.00000000000],
2831  [-1.00000000000, -3.00000000000, -1.00000000000]
2832  ],
2833  [
2834  [3.31662479036, 45.00000000000, 154.76059817931],
2835  [3.31662479036, 18.43494882292, 107.54840061379],
2836  [3.31662479036, 71.56505117707, 107.54840061379],
2837  [3.31662479036, 134.99999999999, 25.23940182068],
2838  [3.31662479036, 161.56505117707, 72.45159938620],
2839  [3.31662479036, 108.43494882291, 72.45159938620],
2840  [3.31662479036, -45.00000000000, 25.23940182068],
2841  [3.31662479036, -18.43494882292, 72.45159938620],
2842  [3.31662479036, -71.56505117707, 72.45159938620],
2843  [3.31662479036, -134.99999999999, 154.76059817931],
2844  [3.31662479036, -161.56505117707, 107.54840061379],
2845  [3.31662479036, -108.43494882291, 107.54840061379]
2846  ],
2847  [
2848  [0,1,2],
2849  [3,4,5],
2850  [6,7,8],
2851  [9,10,11],
2852  [0,2,5,4,10,9],
2853  [5,2,1,7,6,3],
2854  [4,3,6,8,11,10],
2855  [1,0,9,11,8,7]
2856  ],
2857  [
2858  [0,1],
2859  [0,2],
2860  [0,9],
2861  [1,2],
2862  [1,7],
2863  [2,5],
2864  [3,4],
2865  [3,5],
2866  [3,6],
2867  [4,5],
2868  [4,10],
2869  [6,7],
2870  [6,8],
2871  [7,8],
2872  [8,11],
2873  [9,10],
2874  [9,11],
2875  [10,11]
2876  ]
2877  ]
2878 ];
2879 
2880 //! @}
2881 
2882 //----------------------------------------------------------------------------//
2883 // openscad-amu auxiliary scripts
2884 //----------------------------------------------------------------------------//
2885 
2886 /*
2887 BEGIN_SCOPE db;
2888 BEGIN_SCOPE autostat;
2889  BEGIN_OPENSCAD;
2890  include <math/math_polytope.scad>;
2891  include <math/math_utility.scad>;
2892  include <datatypes/datatypes_table.scad>;
2893  include <database/geometry/polyhedra/archimedean.scad>;
2894 
2895  fs = "^";
2896 
2897  tc = dtc_polyhedra_archimedean;
2898  tr = dtr_polyhedra_archimedean;
2899 
2900  ids = get_table_ridl(tr);
2901 
2902  echo
2903  (
2904  str
2905  (
2906  "no.", fs, "table id", fs, "other name", fs,
2907  "vertices", fs, "faces", fs, "edges",
2908 
2909  fs, "face-verticies",
2910  fs, "face-angles",
2911  fs, "edge-lengths",
2912  fs, "edge-angles"
2913  )
2914  );
2915 
2916  for ( id = ids )
2917  {
2918  i = first(find(id, ids, c=1))+1;
2919 
2920  n = get_table_v(tr, tc, id, "n");
2921  o = get_table_v(tr, tc, id, "o");
2922  g = get_table_v(tr, tc, id, "g");
2923  d = get_table_v(tr, tc, id, "d");
2924 
2925  c = get_table_v(tr, tc, id, "c");
2926  s = get_table_v(tr, tc, id, "s");
2927  f = get_table_v(tr, tc, id, "f");
2928  e = get_table_v(tr, tc, id, "e");
2929 
2930  fo = is_empty(o) ? "-" : o;
2931 
2932  echo
2933  (
2934  str
2935  (
2936  i, fs, id, fs, fo, fs,
2937  len(c), fs, len(f), fs, len(e),
2938 
2939  fs, hist(qsort(polytope_face_vcounts(f)), m=9),
2940  fs, hist(qsort(dround(polytope_face_angles(c, f), d=1)), m=9),
2941  fs, hist(qsort(sround(polytope_edge_lengths(c, e), d=3)), m=9),
2942  fs, hist(qsort(dround(polytope_edge_angles(c, f), d=1)), m=9),
2943 
2944  fs
2945  )
2946  );
2947  }
2948  END_OPENSCAD;
2949 
2950  BEGIN_MFSCRIPT;
2951  include --path "${INCLUDE_PATH}" {config_base,config_csg}.mfs;
2952  include --path "${INCLUDE_PATH}" script_std.mfs;
2953  END_MFSCRIPT;
2954 END_SCOPE;
2955 END_SCOPE;
2956 */
2957 
2958 /*
2959 BEGIN_SCOPE db;
2960 BEGIN_SCOPE dim;
2961  BEGIN_OPENSCAD;
2962  include <units/units_coordinate.scad>;
2963  include <tools/tools_polytope.scad>;
2964  include <datatypes/datatypes_table.scad>;
2965  include <database/geometry/polyhedra/archimedean.scad>;
2966 
2967  config = 0;
2968 
2969  tc = dtc_polyhedra_archimedean;
2970  tr = dtr_polyhedra_archimedean;
2971 
2972  id = "default";
2973  sr = 100;
2974 
2975  pv = get_table_v(tr, tc, id, "c");
2976  pf = get_table_v(tr, tc, id, "f");
2977  pe = get_table_v(tr, tc, id, "e");
2978 
2979  sv = coordinates_csc(pv, sr);
2980 
2981  if (config == 0) // png preview
2982  {
2983  $fn = 25;
2984 
2985  %polyhedron(sv, pf);
2986 
2987  polytope_frame(sv, pf, pe)
2988  {
2989  circle(r = sr / 25);
2990  color("lightblue")
2991  sphere(r = sr / 25 * (1 + 1/2));
2992  }
2993  }
2994 
2995  if (config == 1) // stl model
2996  {
2997  polyhedron(sv, pf);
2998  }
2999  END_OPENSCAD;
3000 
3001  BEGIN_MFSCRIPT;
3002  include --path "${INCLUDE_PATH}" {config_base,config_png}.mfs;
3003 
3004  views name "views" views "diag";
3005  defines name "ids" define "id"
3006  strings
3007  "
3008  cuboctahedron
3009  icosidodecahedron
3010  rhombicosidodecahedron
3011  rhombicuboctahedron
3012  snub_cuboctahedron
3013  snub_icosidodecahedron
3014  truncated_cube
3015  truncated_cuboctahedron
3016  truncated_dodecahedron
3017  truncated_icosahedron
3018  truncated_icosidodecahedron
3019  truncated_octahedron
3020  truncated_tetrahedron
3021  ";
3022  variables add_opts_combine "views ids";
3023  variables add_opts "-D config=0 --viewall --autocenter";
3024 
3025  include --path "${INCLUDE_PATH}" script_new.mfs;
3026 
3027  include --path "${INCLUDE_PATH}" config_stl.mfs;
3028  variables add_opts_combine "ids";
3029  variables add_opts "-D config=1";
3030 
3031  include --path "${INCLUDE_PATH}" script_app.mfs;
3032  END_MFSCRIPT;
3033 END_SCOPE;
3034 END_SCOPE;
3035 */
3036 
3037 //----------------------------------------------------------------------------//
3038 // end of file
3039 //----------------------------------------------------------------------------//
dtr_polyhedra_archimedean
dtr_polyhedra_archimedean
Definition: archimedean.scad:129
empty_str
empty_str
A string with no characters (the empty string).
Definition: constants.scad:77
dtc_polyhedra_archimedean
dtc_polyhedra_archimedean
Definition: archimedean.scad:114