# data generated by kaleido written by Dr. Zvi Har'El (rl@math.technion.ac.il)pentagonal prismpentagonal dipyramid2 5|2(4.4.5)dihedral groupD2{5}+5{4}0 10 15 7 10 1 0 0 2 2 3 20 2 0 -1 0.0000000000  0.0000000000  1.0000000000 0.8737108351  0.0000000000  0.4864456563-0.3018596695  0.8199093629  0.4864456563-0.6651309335 -0.5665434359  0.4864456563 0.5718511657  0.8199093629 -0.0271086873 0.7485628941 -0.5665434359 -0.3445027268-0.9669906029  0.2533659270 -0.0271086873-0.2024936222 -0.9166865354 -0.3445027268 0.4467032247  0.2533659270 -0.8580570704-0.5043532916 -0.0967771725 -0.8580570704 0.2978495106  0.4270509831  0.5067318540-0.5036584607  0.1319660113  0.5067318540 0.2978495106 -0.8090169944  0.5067318540 0.6877395818  0.1319660113 -0.1935543450-0.2978495106  0.8090169944 -0.5067318540-0.6091275581 -0.3454915028 -0.1935543450 0.1271969263 -0.3454915028 -0.62635501794 0 2 4 1 4 0 3 6 2 5 0 1 5 7 3 4 1 4 8 5 5 2 6 9 8 4 4 3 7 9 6 4 5 8 9 7 3 2 0 1 3 2 3 0 3 0 4 1 3 1 5 2 3 3 4 0 3 2 6 3 3 4 5 1 3 5 6 2 3 6 4 3 3 4 5 6 pentagonal antiprismpentagonal deltohedron|2 2 5(3.3.3.5)dihedral groupD2{5}+10{3}1 10 20 12 10 1 0 0 2 2 4 20 2 0 -1 0.0000000000  0.0000000000  1.0000000000 0.8944271910  0.0000000000  0.4472135955 0.2763932023  0.8506508084  0.4472135955-0.7236067977  0.5257311121  0.4472135955-0.7236067977 -0.5257311121  0.4472135955 0.7236067977 -0.5257311121 -0.4472135955 0.7236067977  0.5257311121 -0.4472135955-0.8944271910 -0.0000000000 -0.4472135955-0.2763932023 -0.8506508084 -0.4472135955-0.0000000000 -0.0000000000 -1.0000000000 0.2763932023  0.2008114159  0.4472135955-0.1055728090  0.3249196962  0.4472135955-0.3416407865 -0.0000000000  0.4472135955 0.2763932023 -0.8506508084  0.4472135955 0.5527864045  0.0000000000 -0.1055728090 0.4472135955  0.3249196962  0.1055728090-0.2763932023  0.8506508084 -0.4472135955-0.5527864045 -0.0000000000  0.1055728090-0.4472135955 -0.3249196962 -0.1055728090 0.1055728090 -0.3249196962 -0.4472135955 0.3416407865  0.0000000000 -0.4472135955-0.2763932023 -0.2008114159 -0.44721359553 0 2 1 3 0 3 2 3 0 4 3 5 0 1 5 8 4 3 1 6 5 3 1 2 6 5 2 3 7 9 6 3 3 4 7 3 4 8 7 3 5 9 8 3 5 6 9 3 7 8 9 4 3 0 1 2 4 3 4 5 0 4 5 6 1 0 4 6 7 2 1 4 7 8 3 2 4 3 9 10 4 4 10 6 5 4 4 6 11 8 7 4 11 9 3 8 4 9 10 6 11 tetrahedrontetrahedron3|2 3(3.3.3)tetrahedral groupA44{3}5 4 6 4 4 1 0 0 2 1 3 24 3 0 -1 0.0000000000  0.0000000000  1.0000000000 0.9428090416  0.0000000000 -0.3333333333-0.4714045208  0.8164965809 -0.3333333333-0.4714045208 -0.8164965809 -0.3333333333 0.4714045208  0.8164965809  0.3333333333-0.9428090416 -0.0000000000  0.3333333333 0.4714045208 -0.8164965809  0.3333333333-0.0000000000  0.0000000000 -1.00000000003 0 2 1 3 0 3 2 3 0 1 3 3 1 2 3 3 2 0 1 3 2 3 0 3 3 1 0 3 1 2 3 truncated tetrahedrontriakistetrahedron2 3|3(6.6.3)tetrahedral groupA44{6}+4{3}6 12 18 8 12 1 0 0 2 2 3 24 3 0 -1 0.0000000000  0.0000000000  1.0000000000 0.7713892158  0.0000000000  0.6363636364-0.6428243465  0.4264014327  0.6363636364 0.2999846950 -0.7106690545  0.6363636364 0.8999540851  0.4264014327 -0.0909090909-0.9856639980  0.1421338109 -0.0909090909-0.5142594772  0.8528028654 -0.0909090909-0.0428549564 -0.9949366763 -0.0909090909 0.5571144337  0.1421338109 -0.8181818182 0.2571297386  0.8528028654 -0.4545454545-0.6856793030 -0.5685352436 -0.4545454545 0.0857099129 -0.5685352436 -0.8181818182 0.2461829820  0.8164965809  0.5222329679-0.6564879519 -0.5443310540  0.5222329679 0.2461829820 -0.1632993162  0.5222329679 0.8206099399 -0.5443310540 -0.1740776560-0.4923659639  0.3265986324  0.1044465936 0.3938927711  0.3265986324 -0.3133397807-0.4103049699  0.2721655270 -0.8703882798-0.1477097892 -0.4898979486 -0.31333978076 0 2 6 9 4 1 6 0 3 7 10 5 2 3 0 1 3 6 1 4 8 11 7 3 3 2 5 6 3 4 9 8 6 5 10 11 8 9 6 3 7 11 10 3 2 0 1 3 2 3 0 3 0 4 1 3 1 3 2 3 3 5 0 3 4 6 1 3 0 6 4 3 1 7 3 3 3 6 5 3 5 0 6 3 6 7 1 3 7 3 6 octahedronhexahedron4|2 3(3.3.3.3)octahedral groupS48{3}9 6 12 8 6 1 0 0 2 1 4 48 4 0 -1 0.0000000000  0.0000000000  1.0000000000 1.0000000000  0.0000000000 -0.0000000000-0.0000000000  1.0000000000 -0.0000000000-1.0000000000 -0.0000000000 -0.0000000000 0.0000000000 -1.0000000000 -0.0000000000-0.0000000000 -0.0000000000 -1.0000000000 0.5773502692  0.5773502692  0.5773502692-0.5773502692  0.5773502692  0.5773502692-0.5773502692 -0.5773502692  0.5773502692 0.5773502692 -0.5773502692  0.5773502692 0.5773502692 -0.5773502692 -0.5773502692 0.5773502692  0.5773502692 -0.5773502692-0.5773502692  0.5773502692 -0.5773502692-0.5773502692 -0.5773502692 -0.57735026923 0 2 1 3 0 3 2 3 0 4 3 3 0 1 4 3 1 5 4 3 1 2 5 3 2 3 5 3 3 4 5 4 3 0 1 2 4 3 4 5 0 4 5 6 1 0 4 6 7 2 1 4 7 4 3 2 4 4 5 6 7 hexahedronoctahedron3|2 4(4.4.4)octahedral groupS46{4}10 8 12 6 8 1 0 0 2 1 3 48 4 0 -1 0.0000000000  0.0000000000  1.0000000000 0.9428090416  0.0000000000  0.3333333333-0.4714045208  0.8164965809  0.3333333333-0.4714045208 -0.8164965809  0.3333333333 0.4714045208  0.8164965809 -0.3333333333 0.4714045208 -0.8164965809 -0.3333333333-0.9428090416 -0.0000000000 -0.3333333333-0.0000000000 -0.0000000000 -1.0000000000 0.4082482905  0.7071067812  0.5773502692-0.8164965809 -0.0000000000  0.5773502692 0.4082482905 -0.7071067812  0.5773502692 0.8164965809 -0.0000000000 -0.5773502692-0.4082482905  0.7071067812 -0.5773502692-0.4082482905 -0.7071067812 -0.57735026924 0 2 4 1 4 0 3 6 2 4 0 1 5 3 4 1 4 7 5 4 2 6 7 4 4 3 5 7 6 3 2 0 1 3 2 3 0 3 0 4 1 3 1 5 2 3 3 4 0 3 5 3 2 3 4 5 1 3 3 4 5 cuboctahedronrhombic dodecahedron2|3 4(3.4.3.4)octahedral groupS46{4}+8{3}11 12 24 14 12 1 0 0 2 2 4 48 4 0 -1 0.0000000000  0.0000000000  1.0000000000 0.8660254038  0.0000000000  0.5000000000 0.2886751346  0.8164965809  0.5000000000-0.8660254038 -0.0000000000  0.5000000000-0.2886751346 -0.8164965809  0.5000000000 0.8660254038 -0.0000000000 -0.5000000000 0.5773502692 -0.8164965809 -0.0000000000-0.5773502692  0.8164965809 -0.0000000000 0.2886751346  0.8164965809 -0.5000000000-0.8660254038  0.0000000000 -0.5000000000-0.2886751346 -0.8164965809 -0.5000000000-0.0000000000 -0.0000000000 -1.0000000000 0.4082482905  0.2886751346  0.7071067812-0.4082482905  0.5773502692  0.7071067812-0.4082482905 -0.2886751346  0.7071067812 0.4082482905 -0.5773502692  0.7071067812 0.8164965809 -0.2886751346 -0.0000000000 0.8164965809  0.5773502692 -0.0000000000 0.0000000000  0.8660254038 -0.0000000000-0.8164965809  0.2886751346 -0.0000000000-0.8164965809 -0.5773502692 -0.0000000000-0.0000000000 -0.8660254038 -0.0000000000 0.4082482905 -0.5773502692 -0.7071067812 0.4082482905  0.2886751346 -0.7071067812-0.4082482905  0.5773502692 -0.7071067812-0.4082482905 -0.2886751346 -0.70710678123 0 2 1 4 0 3 7 2 3 0 4 3 4 0 1 6 4 3 1 5 6 4 1 2 8 5 3 2 7 8 3 3 9 7 4 3 4 10 9 3 4 6 10 4 5 11 10 6 3 5 8 11 4 7 9 11 8 3 9 10 11 4 3 0 1 2 4 3 4 5 0 4 5 6 1 0 4 1 7 8 2 4 8 9 3 2 4 4 10 11 5 4 9 10 4 3 4 6 12 7 1 4 11 12 6 5 4 12 13 8 7 4 13 10 9 8 4 10 11 12 13 truncated octahedrontetrakishexahedron2 4|3(6.6.4)octahedral groupS48{6}+6{4}12 24 36 14 24 1 0 0 2 2 3 48 4 0 -1 0.0000000000  0.0000000000  1.0000000000 0.6000000000  0.0000000000  0.8000000000-0.4000000000  0.4472135955  0.8000000000-0.0666666667 -0.5962847940  0.8000000000 0.8000000000  0.4472135955  0.4000000000 0.5333333333 -0.5962847940  0.6000000000-0.8666666667  0.2981423970  0.4000000000-0.2000000000  0.8944271910  0.4000000000-0.5333333333 -0.7453559925  0.4000000000 0.9333333333  0.2981423970 -0.2000000000 0.4000000000  0.8944271910  0.2000000000 0.6666666667 -0.7453559925 -0.0000000000-0.6666666667  0.7453559925 -0.0000000000-0.9333333333 -0.2981423970  0.2000000000-0.4000000000 -0.8944271910 -0.2000000000 0.5333333333  0.7453559925 -0.4000000000 0.8666666667 -0.2981423970 -0.4000000000 0.2000000000 -0.8944271910 -0.4000000000-0.5333333333  0.5962847940 -0.6000000000-0.8000000000 -0.4472135955 -0.4000000000 0.0666666667  0.5962847940 -0.8000000000 0.4000000000 -0.4472135955 -0.8000000000-0.6000000000  0.0000000000 -0.8000000000-0.0000000000  0.0000000000 -1.0000000000 0.2581988897  0.5773502692  0.7745966692-0.6024640761 -0.1924500897  0.7745966692 0.2581988897 -0.2886751346  0.7745966692 0.9467292624 -0.1924500897  0.2581988897-0.5163977795  0.5773502692  0.3872983346 0.0860662966 -0.9622504486  0.2581988897 0.6454972244  0.5773502692 -0.0000000000-0.9467292624  0.1924500897 -0.2581988897-0.0860662966  0.9622504486 -0.2581988897-0.6454972244 -0.5773502692 -0.0000000000 0.6024640761  0.1924500897 -0.7745966692 0.5163977795 -0.5773502692 -0.3872983346-0.2581988897 -0.5773502692 -0.7745966692-0.2581988897  0.2886751346 -0.77459666926 0 2 7 10 4 1 6 0 3 8 13 6 2 4 0 1 5 3 6 1 4 9 16 11 5 4 2 6 12 7 6 3 5 11 17 14 8 4 4 10 15 9 6 6 13 19 22 18 12 6 7 12 18 20 15 10 4 8 14 19 13 6 9 15 20 23 21 16 4 11 16 21 17 6 14 17 21 23 22 19 4 18 22 23 20 3 2 0 1 3 2 3 0 3 0 4 1 3 1 5 2 3 3 6 0 3 5 3 2 3 4 7 1 3 0 8 4 3 1 9 5 3 3 10 6 3 6 8 0 3 5 11 3 3 8 7 4 3 7 9 1 3 9 12 5 3 10 8 6 3 11 10 3 3 12 11 5 3 8 13 7 3 7 12 9 3 10 13 8 3 12 10 11 3 13 12 7 3 10 13 12 truncated hexahedrontriakisoctahedron2 3|4(8.8.3)octahedral groupS46{8}+8{3}13 24 36 14 24 1 0 0 2 2 3 48 4 0 -1 0.0000000000  0.0000000000  1.0000000000 0.5395042868  0.0000000000  0.8419828529-0.4604957132  0.2810846377  0.8419828529 0.2466110680 -0.4798414911  0.8419828529 0.8419828529  0.2810846377  0.4604957132-0.8651239283  0.1987568534  0.4604957132-0.5722307095  0.6785983445  0.4604957132 0.1348760717 -0.8773551980  0.4604957132 0.9768589246  0.1987568534 -0.0790085736 0.7302478566  0.6785983445  0.0790085736-0.9768589246 -0.1987568534  0.0790085736-0.2697521434  0.9596829823  0.0790085736-0.2697521434 -0.9596829823  0.0790085736 0.2697521434 -0.9596829823 -0.0790085736 0.8651239283 -0.1987568534 -0.4604957132 0.2697521434  0.9596829823 -0.0790085736-0.7302478566 -0.6785983445 -0.0790085736-0.8419828529 -0.2810846377 -0.4604957132-0.1348760717  0.8773551980 -0.4604957132 0.5722307095 -0.6785983445 -0.4604957132 0.4604957132 -0.2810846377 -0.8419828529-0.5395042868  0.0000000000 -0.8419828529-0.2466110680  0.4798414911 -0.8419828529-0.0000000000  0.0000000000 -1.0000000000 0.1987568534  0.7071067812  0.6785983445-0.5380560257 -0.5000000000  0.6785983445 0.1987568534 -0.1213203436  0.6785983445 0.8191406634 -0.5000000000  0.2810846377-0.4798414911  0.2928932188  0.4457402063 0.6444970597  0.2928932188  0.1164290691-0.8191406634  0.5000000000 -0.2810846377 0.0341012848 -0.7071067812  0.1164290691 0.5380560257  0.5000000000 -0.6785983445-0.6444970597 -0.2928932188 -0.1164290691-0.0341012848  0.7071067812 -0.1164290691-0.1987568534 -0.7071067812 -0.6785983445 0.4798414911 -0.2928932188 -0.4457402063-0.1987568534  0.1213203436 -0.67859834458 0 2 6 11 15 9 4 1 8 0 3 7 12 16 10 5 2 3 0 1 3 8 1 4 8 14 19 13 7 3 3 2 5 6 3 4 9 8 8 5 10 17 21 22 18 11 6 3 7 13 12 8 8 9 15 18 22 23 20 14 3 10 16 17 3 11 18 15 8 12 13 19 20 23 21 17 16 3 14 20 19 3 21 23 22 3 2 0 1 3 2 3 0 3 0 4 1 3 1 3 2 3 3 5 0 3 4 6 1 3 0 6 4 3 1 7 3 3 3 8 5 3 8 0 5 3 6 9 1 3 0 10 6 3 1 11 7 3 11 3 7 3 3 12 8 3 8 10 0 3 9 11 1 3 6 11 9 3 8 6 10 3 11 12 3 3 11 8 12 3 6 13 11 3 8 13 6 3 11 8 13 small rhombicuboctahedrondeltoidal icositetrahedron3 4|2(4.3.4.4)octahedral groupS418{4}+8{3}14 24 48 26 24 1 0 0 2 2 4 48 4 0 -1 0.0000000000  0.0000000000  1.0000000000 0.6675992222  0.0000000000  0.7445208382-0.0977676425  0.6604015517  0.7445208382-0.6389637427  0.1934271362  0.7445208382-0.0977676425 -0.6604015517  0.7445208382 0.5698315797  0.6604015517  0.4890416764 0.9727633538  0.1934271362  0.1277395809 0.5698315797 -0.6604015517  0.4890416764-0.3337996111  0.9339488311  0.1277395809-0.7367313852 -0.4669744155  0.4890416764-0.8749957112  0.4669744155  0.1277395809-0.3337996111 -0.9339488311  0.1277395809 0.3337996111  0.9339488311 -0.1277395809 0.8749957112 -0.4669744155 -0.1277395809 0.7367313852  0.4669744155 -0.4890416764 0.3337996111 -0.9339488311 -0.1277395809-0.5698315797  0.6604015517 -0.4890416764-0.9727633538 -0.1934271362 -0.1277395809-0.5698315797 -0.6604015517 -0.4890416764 0.0977676425  0.6604015517 -0.7445208382 0.6389637427 -0.1934271362 -0.7445208382 0.0977676425 -0.6604015517 -0.7445208382-0.6675992222  0.0000000000 -0.7445208382-0.0000000000  0.0000000000 -1.0000000000 0.3302007759  0.3826834324  0.8628562095

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