ref: c8b187f9db503465460d8bafa2d7a758bbcf59ca
dir: /lib/polyhedra/
# data generated by kaleido written by Dr. Zvi Har'El (rl@math.technion.ac.il) pentagonal prism pentagonal dipyramid 2 5|2 (4.4.5) dihedral group D 2{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 -0.6263550179 4 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 antiprism pentagonal deltohedron |2 2 5 (3.3.3.5) dihedral group D 2{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 -0.4472135955 3 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 tetrahedron tetrahedron 3|2 3 (3.3.3) tetrahedral group A4 4{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 -1.0000000000 3 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 tetrahedron triakistetrahedron 2 3|3 (6.6.3) tetrahedral group A4 4{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 -0.3133397807 6 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 octahedron hexahedron 4|2 3 (3.3.3.3) octahedral group S4 8{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 -0.5773502692 3 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 hexahedron octahedron 3|2 4 (4.4.4) octahedral group S4 6{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 -0.5773502692 4 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 cuboctahedron rhombic dodecahedron 2|3 4 (3.4.3.4) octahedral group S4 6{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 -0.7071067812 3 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 octahedron tetrakishexahedron 2 4|3 (6.6.4) octahedral group S4 8{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 -0.7745966692 6 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 hexahedron triakisoctahedron 2 3|4 (8.8.3) octahedral group S4 6{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 -0.6785983445 8 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 rhombicuboctahedron deltoidal icositetrahedron 3 4|2 (4.3.4.4) octahedral group S4 18{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 -0.2553967884 0.2959899757 0.8628562095 -0.4269143440 -0.2705980501 0.8628562095 0.3302007759 -0.3826834324 0.8628562095 0.8938887595 -0.2705980501 0.3574067443 0.7661903653 0.2959899757 0.4719117310 0.1367736397 0.9238795325 0.3574067443 -0.5636879836 0.6532814824 0.5054494651 -0.9339488311 -0.0000000000 0.3574067443 -0.4050047633 -0.7145830136 0.4719117310 0.1367736397 -0.9238795325 0.3574067443 0.7571151198 0.6532814824 -0.0000000000 0.9339488311 -0.0000000000 -0.3574067443 0.6165823904 -0.7145830136 0.0809672526 -0.1367736397 0.9238795325 -0.3574067443 -0.6165823904 0.7145830136 -0.0809672526 -0.7571151198 -0.6532814824 -0.0000000000 -0.8938887595 0.2705980501 -0.3574067443 -0.1367736397 -0.9238795325 -0.3574067443 0.4050047633 0.7145830136 -0.4719117310 0.5636879836 -0.6532814824 -0.5054494651 0.4269143440 0.2705980501 -0.8628562095 -0.3302007759 0.3826834324 -0.8628562095 -0.7661903653 -0.2959899757 -0.4719117310 -0.3302007759 -0.3826834324 -0.8628562095 0.2553967884 -0.2959899757 -0.8628562095 4 0 2 5 1 3 0 3 2 4 0 4 9 3 4 0 1 7 4 4 1 6 13 7 3 1 5 6 4 2 8 12 5 4 2 3 10 8 4 3 9 17 10 3 4 11 9 4 4 7 15 11 4 5 12 14 6 4 6 14 20 13 3 7 13 15 4 8 16 19 12 3 8 10 16 4 9 11 18 17 4 10 17 22 16 4 11 15 21 18 3 12 19 14 4 13 20 21 15 4 14 19 23 20 4 16 22 23 19 3 17 18 22 4 18 21 23 22 3 20 23 21 4 3 0 1 2 4 3 4 5 0 4 0 6 7 1 4 7 8 2 1 4 2 9 10 3 4 5 11 6 0 4 4 12 11 5 4 10 13 4 3 4 6 14 15 7 4 8 16 9 2 4 15 17 8 7 4 16 18 10 9 4 11 19 14 6 4 13 20 12 4 4 12 21 19 11 4 18 20 13 10 4 14 22 17 15 4 17 23 16 8 4 23 24 18 16 4 21 22 14 19 4 20 25 21 12 4 24 25 20 18 4 22 24 23 17 4 21 22 24 25 truncated cuboctahedron disdyakisdodecahedron 2 3 4| (4.6.8) octahedral group S4 6{8}+8{6}+12{4} 15 48 72 26 48 1 0 0 2 3 3 48 4 0 -1 0.0000000000 0.0000000000 1.0000000000 0.4213179058 0.0000000000 0.9069130180 -0.0205668596 0.4208156152 0.9069130180 -0.3330265737 -0.2580737859 0.9069130180 0.4007510462 0.4208156152 0.8138260361 0.6841248285 -0.2580737859 0.6821811637 -0.3741602929 0.5835574446 0.7207390541 -0.3826793651 -0.6230452339 0.6821811637 -0.6866200070 -0.0953319565 0.7207390541 0.6429911093 0.5835574446 0.4960071997 0.6344720372 -0.6230452339 0.4574493093 0.9263648917 -0.0953319565 0.3643623273 -0.4528990160 0.8137091469 0.3643623273 -0.7071868666 0.3254836587 0.6276520721 -0.7362727984 -0.4603034045 0.4960071997 -0.1198724423 -0.8811190198 0.4574493093 0.5642523862 0.8137091469 0.1396304730 0.9057980321 0.3254836587 0.2712753454 0.8767121003 -0.4603034045 0.1396304730 0.3014454635 -0.8811190198 0.3643623273 -0.7859255897 0.5556353610 0.2712753454 -0.2106589529 0.9764509762 0.0465434910 -0.8270593089 -0.5556353610 0.0851013814 -0.2106589529 -0.9764509762 0.0465434910 0.8270593089 0.5556353610 -0.0851013814 0.2106589529 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