diff options
| author | Charles.Forsyth <devnull@localhost> | 2006-12-22 20:52:35 +0000 |
|---|---|---|
| committer | Charles.Forsyth <devnull@localhost> | 2006-12-22 20:52:35 +0000 |
| commit | 46439007cf417cbd9ac8049bb4122c890097a0fa (patch) | |
| tree | 6fdb25e5f3a2b6d5657eb23b35774b631d4d97e4 /lib/polyhedra | |
| parent | 37da2899f40661e3e9631e497da8dc59b971cbd0 (diff) | |
20060303-partial
Diffstat (limited to 'lib/polyhedra')
| -rw-r--r-- | lib/polyhedra | 2459 |
1 files changed, 2459 insertions, 0 deletions
diff --git a/lib/polyhedra b/lib/polyhedra new file mode 100644 index 00000000..bfa8936b --- /dev/null +++ b/lib/polyhedra @@ -0,0 +1,2459 @@ +# 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 0.9764509762 -0.0465434910 + 0.7859255897 -0.5556353610 -0.2712753454 + 0.2106589529 -0.9764509762 -0.0465434910 +-0.8767121003 0.4603034045 -0.1396304730 +-0.3014454635 0.8811190198 -0.3643623273 +-0.9057980321 -0.3254836587 -0.2712753454 +-0.5642523862 -0.8137091469 -0.1396304730 + 0.7362727984 0.4603034045 -0.4960071997 + 0.1198724423 0.8811190198 -0.4574493093 + 0.7071868666 -0.3254836587 -0.6276520721 + 0.4528990160 -0.8137091469 -0.3643623273 +-0.9263648917 0.0953319565 -0.3643623273 +-0.6344720372 0.6230452339 -0.4574493093 +-0.6429911093 -0.5835574446 -0.4960071997 + 0.6866200070 0.0953319565 -0.7207390541 + 0.3826793651 0.6230452339 -0.6821811637 + 0.3741602929 -0.5835574446 -0.7207390541 +-0.6841248285 0.2580737859 -0.6821811637 +-0.4007510462 -0.4208156152 -0.8138260361 + 0.3330265737 0.2580737859 -0.9069130180 + 0.0205668596 -0.4208156152 -0.9069130180 +-0.4213179058 -0.0000000000 -0.9069130180 +-0.0000000000 -0.0000000000 -1.0000000000 + 0.1824857240 0.1916223125 0.8259425910 +-0.3588578683 0.1651647923 0.8259425910 + 0.1824857240 -0.5334020968 0.8259425910 + 0.6734372751 0.1651647923 0.5978648424 + 0.1150758511 0.8458618109 0.5208409981 +-0.4869154353 -0.3271197492 0.6388327969 + 0.7107416431 -0.3271197492 0.3742195883 +-0.5282559191 0.5187420617 0.4517230027 +-0.4805150176 -0.7290726662 0.2753141970 +-0.9764509762 0.0000000000 0.2157394053 + 0.6694011593 0.5187420617 0.1871097942 + 0.5517801258 -0.7290726662 0.0472364484 + 0.9764509762 0.0000000000 -0.2157394053 +-0.5517801258 0.7290726662 -0.0472364484 + 0.0413404837 -0.8458618109 0.1871097942 + 0.4805150176 0.7290726662 -0.2753141970 +-0.0413404837 0.8458618109 -0.1871097942 +-0.6694011593 -0.5187420617 -0.1871097942 +-0.1150758511 -0.8458618109 -0.5208409981 + 0.5282559191 -0.5187420617 -0.4517230027 +-0.7107416431 0.3271197492 -0.3742195883 +-0.1824857240 0.5334020968 -0.8259425910 +-0.6734372751 -0.1651647923 -0.5978648424 + 0.4869154353 0.3271197492 -0.6388327969 + 0.3588578683 -0.1651647923 -0.8259425910 +-0.1824857240 -0.1916223125 -0.8259425910 +4 0 2 4 1 +6 0 3 8 13 6 2 +8 0 1 5 10 19 15 7 3 +6 1 4 9 17 11 5 +8 2 6 12 21 25 16 9 4 +4 3 7 14 8 +4 5 11 18 10 +4 6 13 20 12 +6 7 15 23 31 22 14 +8 8 14 22 30 36 28 20 13 +4 9 16 24 17 +6 10 18 26 35 27 19 +8 11 17 24 32 39 34 26 18 +6 12 20 28 37 29 21 +4 15 19 27 23 +6 16 25 33 40 32 24 +4 21 29 33 25 +4 22 31 38 30 +8 23 27 35 41 45 43 38 31 +4 26 34 41 35 +4 28 36 42 37 +8 29 37 42 46 47 44 40 33 +6 30 38 43 46 42 36 +4 32 40 44 39 +6 34 39 44 47 45 41 +4 43 45 47 46 +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 7 1 +3 5 8 2 +3 1 9 5 +3 3 10 4 +3 2 11 6 +3 6 12 3 +3 4 13 7 +3 7 9 1 +3 9 8 5 +3 8 14 2 +3 10 15 4 +3 12 10 3 +3 11 12 6 +3 14 11 2 +3 13 9 7 +3 4 16 13 +3 9 17 8 +3 8 18 14 +3 12 15 10 +3 15 16 4 +3 11 19 12 +3 18 11 14 +3 13 20 9 +3 16 21 13 +3 9 22 17 +3 17 18 8 +3 12 23 15 +3 15 21 16 +3 19 24 12 +3 18 19 11 +3 20 22 9 +3 21 20 13 +3 22 18 17 +3 24 23 12 +3 23 21 15 +3 18 24 19 +3 21 22 20 +3 22 25 18 +3 24 21 23 +3 25 24 18 +3 21 25 22 +3 24 21 25 +snub hexahedron +pentagonal icositetrahedron +|2 3 4 +(3.3.3.3.4) +octahedral group +S4 +6{4}+32{3} +16 24 60 38 24 1 0 0 2 2 5 48 4 0 -1 + 0.0000000000 0.0000000000 1.0000000000 + 0.6907659000 0.0000000000 0.7230784683 + 0.2898753354 0.6270006527 0.7230784683 +-0.4474773703 0.5262333434 0.7230784683 +-0.6654371656 -0.1853399775 0.7230784683 +-0.1110152292 -0.6817867317 0.7230784683 + 0.5797506708 -0.6817867317 0.4461569367 + 0.9806412354 -0.1853399775 0.0631811688 + 0.8230392005 0.5262333434 0.2137403629 + 0.2432885297 0.9678940186 0.0631811688 +-0.4940641761 0.8671267092 0.0631811688 +-0.9340544297 0.2861072869 0.2137403629 +-0.6516662110 -0.7277679621 0.2137403629 + 0.0253287344 -0.9976806078 0.0631811688 + 0.6188503599 -0.7277679621 -0.2955977425 + 0.7626814402 -0.0845726681 -0.6412210887 + 0.6050794053 0.6270006527 -0.4906618946 +-0.1110152292 0.8123406303 -0.5725192742 +-0.7511236604 0.4416606752 -0.4906618946 +-0.9202834751 -0.2563206977 -0.2955977425 +-0.4146615192 -0.7663593998 -0.4906618946 + 0.1788601062 -0.4964467542 -0.8494408059 + 0.1713729895 0.2401260565 -0.9554950421 +-0.4687354417 -0.1305538986 -0.8736376625 + 0.3408933659 0.2179597953 0.8503402074 +-0.0547860790 0.4008905646 0.8503402074 +-0.3868745963 0.1185023459 0.8503402074 +-0.2699126456 -0.3014331152 0.8503402074 + 0.3408933659 -0.4008905646 0.8503402074 + 0.7825540411 -0.3014331152 0.4284162431 + 0.8671267092 0.1185023459 0.3476229160 + 0.6270006527 0.4008905646 0.5770183396 + 0.4714472644 0.7373527058 0.3476229160 +-0.1200630282 0.8785468151 0.4623206278 +-0.6520001425 0.5838213339 0.3476229160 +-0.7115733209 0.2179597953 0.5770183396 +-0.9324036585 -0.2596964552 0.2513586457 +-0.4964467542 -0.5544219364 0.5770183396 +-0.2563206977 -0.8368101551 0.3476229160 + 0.1717480296 -0.8208260257 0.4284162431 + 0.4254660340 -0.8368101551 0.0743010482 + 0.7575545513 -0.5544219364 0.0743010482 + 0.8211454788 -0.3468166421 -0.3036964718 + 0.9324036585 0.2596964552 -0.2513586457 + 0.5810194223 0.7373527058 -0.0743010482 + 0.2563206977 0.8368101551 -0.3476229160 +-0.1257667992 0.9202834751 -0.1550943753 +-0.4714472644 0.7373527058 -0.3476229160 +-0.7575545513 0.5544219364 -0.0743010482 +-0.9057181469 0.1638858728 -0.1990208196 +-0.6905915802 -0.6084958589 -0.1990208196 +-0.3618751065 -0.8662095526 -0.0743010482 + 0.1200630282 -0.8785468151 -0.4623206278 + 0.5424279846 -0.4549644871 -0.6209447838 + 0.3868745963 -0.1185023459 -0.8503402074 + 0.5350381919 0.2720337177 -0.7256204361 + 0.2313212079 0.5838213339 -0.7017381110 +-0.3408933659 0.4008905646 -0.8503402074 +-0.7439626034 0.0190448965 -0.5770183396 +-0.6270006527 -0.4008905646 -0.5770183396 +-0.2449131559 -0.4843638846 -0.7695468803 +-0.0411941310 -0.1344864753 -0.9311335345 +3 0 2 1 +3 0 3 2 +3 0 4 3 +3 0 5 4 +4 0 1 6 5 +3 1 7 6 +3 1 8 7 +3 1 2 8 +3 2 9 8 +4 2 3 10 9 +3 3 11 10 +3 3 4 11 +4 4 12 19 11 +3 4 5 12 +3 5 13 12 +3 5 6 13 +3 6 14 13 +3 6 7 14 +3 7 15 14 +4 7 8 16 15 +3 8 9 16 +3 9 17 16 +3 9 10 17 +3 10 18 17 +3 10 11 18 +3 11 19 18 +3 12 20 19 +3 12 13 20 +4 13 14 21 20 +3 14 15 21 +3 15 22 21 +3 15 16 22 +3 16 17 22 +4 17 18 23 22 +3 18 19 23 +3 19 20 23 +3 20 21 23 +3 21 22 23 +5 4 0 1 2 3 +5 4 5 6 7 0 +5 7 8 9 1 0 +5 9 10 11 2 1 +5 11 12 13 3 2 +5 13 14 15 4 3 +5 15 16 17 5 4 +5 17 18 19 6 5 +5 19 20 8 7 6 +5 20 21 22 9 8 +5 22 23 24 10 9 +5 24 25 12 11 10 +5 12 26 27 14 13 +5 27 28 16 15 14 +5 28 29 18 17 16 +5 29 30 31 19 18 +5 31 32 21 20 19 +5 32 33 23 22 21 +5 33 34 25 24 23 +5 34 35 26 12 25 +5 35 36 28 27 26 +5 36 37 30 29 28 +5 37 33 32 31 30 +5 33 34 35 36 37 +icosahedron +dodecahedron +5|2 3 +(3.3.3.3.3) +icosahedral group +A5 +20{3} +26 12 30 20 12 1 0 0 2 1 5 120 5 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 + 0.2763932023 -0.8506508084 0.4472135955 + 0.7236067977 0.5257311121 -0.4472135955 + 0.7236067977 -0.5257311121 -0.4472135955 +-0.2763932023 0.8506508084 -0.4472135955 +-0.8944271910 -0.0000000000 -0.4472135955 +-0.2763932023 -0.8506508084 -0.4472135955 +-0.0000000000 -0.0000000000 -1.0000000000 + 0.4911234732 0.3568220898 0.7946544723 +-0.1875924741 0.5773502692 0.7946544723 +-0.6070619982 -0.0000000000 0.7946544723 +-0.1875924741 -0.5773502692 0.7946544723 + 0.4911234732 -0.3568220898 0.7946544723 + 0.7946544723 -0.5773502692 0.1875924741 + 0.9822469464 -0.0000000000 -0.1875924741 + 0.7946544723 0.5773502692 0.1875924741 + 0.3035309991 0.9341723590 -0.1875924741 +-0.3035309991 0.9341723590 0.1875924741 +-0.7946544723 0.5773502692 -0.1875924741 +-0.9822469464 -0.0000000000 0.1875924741 +-0.7946544723 -0.5773502692 -0.1875924741 +-0.3035309991 -0.9341723590 0.1875924741 + 0.3035309991 -0.9341723590 -0.1875924741 + 0.6070619982 -0.0000000000 -0.7946544723 + 0.1875924741 0.5773502692 -0.7946544723 + 0.1875924741 -0.5773502692 -0.7946544723 +-0.4911234732 0.3568220898 -0.7946544723 +-0.4911234732 -0.3568220898 -0.7946544723 +3 0 2 1 +3 0 3 2 +3 0 4 3 +3 0 5 4 +3 0 1 5 +3 1 7 5 +3 1 6 7 +3 1 2 6 +3 2 8 6 +3 2 3 8 +3 3 9 8 +3 3 4 9 +3 4 10 9 +3 4 5 10 +3 5 7 10 +3 6 11 7 +3 6 8 11 +3 7 11 10 +3 8 9 11 +3 9 10 11 +5 4 0 1 2 3 +5 4 5 6 7 0 +5 7 8 9 1 0 +5 9 10 11 2 1 +5 11 12 13 3 2 +5 13 14 5 4 3 +5 6 15 16 8 7 +5 14 17 15 6 5 +5 16 18 10 9 8 +5 18 19 12 11 10 +5 19 17 14 13 12 +5 15 16 18 19 17 +dodecahedron +icosahedron +3|2 5 +(5.5.5) +icosahedral group +A5 +12{5} +27 20 30 12 20 1 0 0 2 1 3 120 5 0 -1 + 0.0000000000 0.0000000000 1.0000000000 + 0.6666666667 0.0000000000 0.7453559925 +-0.3333333333 0.5773502692 0.7453559925 +-0.3333333333 -0.5773502692 0.7453559925 + 0.7453559925 0.5773502692 0.3333333333 + 0.7453559925 -0.5773502692 0.3333333333 +-0.8726779962 0.3568220898 0.3333333333 + 0.1273220038 0.9341723590 0.3333333333 + 0.1273220038 -0.9341723590 0.3333333333 +-0.8726779962 -0.3568220898 0.3333333333 + 0.8726779962 0.3568220898 -0.3333333333 + 0.8726779962 -0.3568220898 -0.3333333333 +-0.7453559925 0.5773502692 -0.3333333333 +-0.1273220038 0.9341723590 -0.3333333333 +-0.1273220038 -0.9341723590 -0.3333333333 +-0.7453559925 -0.5773502692 -0.3333333333 + 0.3333333333 0.5773502692 -0.7453559925 + 0.3333333333 -0.5773502692 -0.7453559925 +-0.6666666667 -0.0000000000 -0.7453559925 +-0.0000000000 -0.0000000000 -1.0000000000 + 0.3035309991 0.5257311121 0.7946544723 +-0.6070619982 -0.0000000000 0.7946544723 + 0.3035309991 -0.5257311121 0.7946544723 + 0.9822469464 -0.0000000000 0.1875924741 +-0.4911234732 0.8506508084 0.1875924741 +-0.4911234732 -0.8506508084 0.1875924741 + 0.4911234732 0.8506508084 -0.1875924741 + 0.4911234732 -0.8506508084 -0.1875924741 +-0.9822469464 -0.0000000000 -0.1875924741 + 0.6070619982 -0.0000000000 -0.7946544723 +-0.3035309991 0.5257311121 -0.7946544723 +-0.3035309991 -0.5257311121 -0.7946544723 +5 0 2 7 4 1 +5 0 3 9 6 2 +5 0 1 5 8 3 +5 1 4 10 11 5 +5 2 6 12 13 7 +5 3 8 14 15 9 +5 4 7 13 16 10 +5 5 11 17 14 8 +5 6 9 15 18 12 +5 10 16 19 17 11 +5 12 18 19 16 13 +5 14 17 19 18 15 +3 2 0 1 +3 2 3 0 +3 0 4 1 +3 1 5 2 +3 3 6 0 +3 2 7 3 +3 4 8 1 +3 6 4 0 +3 5 7 2 +3 8 5 1 +3 3 9 6 +3 7 9 3 +3 4 10 8 +3 6 10 4 +3 5 11 7 +3 8 11 5 +3 9 10 6 +3 11 9 7 +3 10 11 8 +3 9 10 11 +icosidodecahedron +rhombic triacontahedron +2|3 5 +(3.5.3.5) +icosahedral group +A5 +12{5}+20{3} +28 30 60 32 30 1 0 0 2 2 4 120 5 0 -1 + 0.0000000000 0.0000000000 1.0000000000 + 0.5877852523 0.0000000000 0.8090169944 + 0.2628655561 0.5257311121 0.8090169944 +-0.5877852523 -0.0000000000 0.8090169944 +-0.2628655561 -0.5257311121 0.8090169944 + 0.9510565163 -0.0000000000 0.3090169944 + 0.6881909602 -0.5257311121 0.5000000000 +-0.1624598481 0.8506508084 0.5000000000 + 0.4253254042 0.8506508084 0.3090169944 +-0.9510565163 0.0000000000 0.3090169944 +-0.6881909602 0.5257311121 0.5000000000 + 0.1624598481 -0.8506508084 0.5000000000 +-0.4253254042 -0.8506508084 0.3090169944 + 0.9510565163 -0.0000000000 -0.3090169944 + 0.8506508084 0.5257311121 -0.0000000000 + 0.5257311121 -0.8506508084 -0.0000000000 +-0.5257311121 0.8506508084 -0.0000000000 + 0.4253254042 0.8506508084 -0.3090169944 +-0.9510565163 0.0000000000 -0.3090169944 +-0.8506508084 -0.5257311121 -0.0000000000 +-0.4253254042 -0.8506508084 -0.3090169944 + 0.5877852523 -0.0000000000 -0.8090169944 + 0.6881909602 -0.5257311121 -0.5000000000 + 0.1624598481 -0.8506508084 -0.5000000000 +-0.6881909602 0.5257311121 -0.5000000000 +-0.1624598481 0.8506508084 -0.5000000000 + 0.2628655561 0.5257311121 -0.8090169944 +-0.5877852523 0.0000000000 -0.8090169944 +-0.2628655561 -0.5257311121 -0.8090169944 +-0.0000000000 0.0000000000 -1.0000000000 + 0.2763932023 0.1708203932 0.8506508084 +-0.2763932023 0.4472135955 0.8506508084 +-0.2763932023 -0.1708203932 0.8506508084 + 0.2763932023 -0.4472135955 0.8506508084 + 0.7236067977 -0.1708203932 0.5257311121 + 0.7236067977 0.4472135955 0.5257311121 + 0.1708203932 0.7236067977 0.5257311121 +-0.7236067977 0.1708203932 0.5257311121 +-0.7236067977 -0.4472135955 0.5257311121 +-0.1708203932 -0.7236067977 0.5257311121 + 0.8944271910 -0.4472135955 -0.0000000000 + 0.8944271910 0.1708203932 -0.0000000000 + 0.4472135955 -0.7236067977 0.3249196962 +-0.0000000000 1.0000000000 -0.0000000000 +-0.4472135955 0.7236067977 0.3249196962 + 0.5527864045 0.7236067977 -0.0000000000 +-0.8944271910 0.4472135955 -0.0000000000 +-0.8944271910 -0.1708203932 -0.0000000000 +-0.0000000000 -1.0000000000 -0.0000000000 +-0.5527864045 -0.7236067977 -0.0000000000 + 0.7236067977 -0.1708203932 -0.5257311121 + 0.7236067977 0.4472135955 -0.5257311121 + 0.4472135955 -0.7236067977 -0.3249196962 +-0.4472135955 0.7236067977 -0.3249196962 + 0.1708203932 0.7236067977 -0.5257311121 +-0.7236067977 0.1708203932 -0.5257311121 +-0.7236067977 -0.4472135955 -0.5257311121 +-0.1708203932 -0.7236067977 -0.5257311121 + 0.2763932023 -0.4472135955 -0.8506508084 + 0.2763932023 0.1708203932 -0.8506508084 +-0.2763932023 0.4472135955 -0.8506508084 +-0.2763932023 -0.1708203932 -0.8506508084 +3 0 2 1 +5 0 3 10 7 2 +3 0 4 3 +5 0 1 6 11 4 +3 1 5 6 +5 1 2 8 14 5 +3 2 7 8 +3 3 9 10 +5 3 4 12 19 9 +3 4 11 12 +5 5 13 22 15 6 +3 5 14 13 +3 6 15 11 +5 7 16 25 17 8 +3 7 10 16 +3 8 17 14 +5 9 18 24 16 10 +3 9 19 18 +5 11 15 23 20 12 +3 12 20 19 +3 13 21 22 +5 13 14 17 26 21 +3 15 22 23 +3 16 24 25 +3 17 25 26 +3 18 27 24 +5 18 19 20 28 27 +3 20 23 28 +5 21 29 28 23 22 +3 21 26 29 +5 24 27 29 26 25 +3 27 28 29 +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 3 12 10 4 +4 6 13 14 1 +4 5 15 13 6 +4 7 16 17 8 +4 14 16 7 1 +4 9 18 12 3 +4 8 19 18 9 +4 10 20 21 11 +4 21 15 5 11 +4 18 22 10 12 +4 13 23 16 14 +4 21 24 13 15 +4 16 25 26 17 +4 26 19 8 17 +4 26 27 18 19 +4 20 28 29 21 +4 22 28 20 10 +4 27 28 22 18 +4 23 30 25 16 +4 24 30 23 13 +4 29 30 24 21 +4 30 31 26 25 +4 31 28 27 26 +4 28 29 30 31 +truncated icosahedron +pentakisdodecahedron +2 5|3 +(6.6.5) +icosahedral group +A5 +20{6}+12{5} +29 60 90 32 60 1 0 0 2 2 3 120 5 0 -1 + 0.0000000000 0.0000000000 1.0000000000 + 0.3952480672 0.0000000000 0.9185744202 +-0.2227859215 0.3264773618 0.9185744202 +-0.1440965957 -0.3680451137 0.9185744202 + 0.5677102129 0.3264773618 0.7557232605 + 0.4954282110 -0.3680451137 0.7868250644 +-0.5896684388 0.2849096099 0.7557232605 +-0.0503237759 0.6529547237 0.7557232605 + 0.1620948777 -0.5955095034 0.7868250644 +-0.5109791130 -0.4096128656 0.7557232605 + 0.8403525023 0.2849096099 0.4611227451 + 0.3449242913 0.6529547237 0.6742976806 + 0.7680705005 -0.4096128656 0.4922245490 +-0.6439521587 0.5856966883 0.4922245490 +-0.7337650345 -0.0831355038 0.6742976806 +-0.3106188254 0.8131610779 0.4922245490 + 0.1014038338 -0.8645416449 0.4922245490 +-0.5716701569 -0.6786450072 0.4611227451 + 0.7860687824 0.5856966883 0.1976240336 + 0.9405326461 -0.0831355038 0.3293733893 + 0.4798773090 0.8131610779 0.3293733893 + 0.7073794566 -0.6786450072 0.1976240336 +-0.8423324743 0.5184386529 0.1473002577 +-0.9321453501 -0.1503935392 0.3293733893 +-0.1756658076 0.9733674322 0.1473002577 + 0.3740461233 -0.9061093968 0.1976240336 +-0.2654786835 -0.9061093968 0.3293733893 +-0.8319652063 -0.5184386529 0.1976240336 + 0.8319652063 0.5184386529 -0.1976240336 + 0.9864290700 -0.1503935392 -0.0658746779 + 0.2195822596 0.9733674322 0.0658746779 + 0.8423324743 -0.5184386529 -0.1473002577 +-0.7073794566 0.6786450072 -0.1976240336 +-0.9864290700 0.1503935392 0.0658746779 +-0.3740461233 0.9061093968 -0.1976240336 + 0.1756658076 -0.9733674322 -0.1473002577 +-0.2195822596 -0.9733674322 -0.0658746779 +-0.7860687824 -0.5856966883 -0.1976240336 + 0.5716701569 0.6786450072 -0.4611227451 + 0.9321453501 0.1503935392 -0.3293733893 + 0.2654786835 0.9061093968 -0.3293733893 + 0.6439521587 -0.5856966883 -0.4922245490 +-0.7680705005 0.4096128656 -0.4922245490 +-0.9405326461 0.0831355038 -0.3293733893 +-0.1014038338 0.8645416449 -0.4922245490 + 0.3106188254 -0.8131610779 -0.4922245490 +-0.4798773090 -0.8131610779 -0.3293733893 +-0.8403525023 -0.2849096099 -0.4611227451 + 0.5109791130 0.4096128656 -0.7557232605 + 0.7337650345 0.0831355038 -0.6742976806 + 0.5896684388 -0.2849096099 -0.7557232605 +-0.4954282110 0.3680451137 -0.7868250644 +-0.1620948777 0.5955095034 -0.7868250644 + 0.0503237759 -0.6529547237 -0.7557232605 +-0.3449242913 -0.6529547237 -0.6742976806 +-0.5677102129 -0.3264773618 -0.7557232605 + 0.1440965957 0.3680451137 -0.9185744202 + 0.2227859215 -0.3264773618 -0.9185744202 +-0.3952480672 -0.0000000000 -0.9185744202 +-0.0000000000 -0.0000000000 -1.0000000000 + 0.1884917927 0.3568220898 0.9149583817 +-0.4009827382 -0.0454313035 0.9149583817 + 0.1884917927 -0.2762216876 0.9149583817 + 0.7299680182 -0.0454313035 0.6819697127 +-0.3769835855 0.5524433752 0.7082839194 +-0.2238218084 -0.6962909658 0.6819697127 + 0.6262353286 0.5524433752 0.5016094570 + 0.4751441987 -0.6962909658 0.5379747963 +-0.8612946448 0.2378813932 0.4489810437 + 0.0924951818 0.8887410555 0.4489810437 +-0.7427296631 -0.3817289838 0.5016094570 + 0.9686221187 0.2378813932 0.0719974582 + 0.8805126380 -0.3817289838 0.1672031523 +-0.5563085176 0.8152316624 0.1609912108 + 0.0344457437 -0.9590792530 0.1672031523 +-0.5746422389 -0.8152316624 0.0719974582 + 0.5746422389 0.8152316624 -0.0719974582 + 0.5563085176 -0.8152316624 -0.1609912108 +-0.8805126380 0.3817289838 -0.1672031523 +-0.9686221187 -0.2378813932 -0.0719974582 +-0.0344457437 0.9590792530 -0.1672031523 + 0.7427296631 0.3817289838 -0.5016094570 + 0.8612946448 -0.2378813932 -0.4489810437 +-0.4751441987 0.6962909658 -0.5379747963 +-0.0924951818 -0.8887410555 -0.4489810437 +-0.6262353286 -0.5524433752 -0.5016094570 + 0.2238218084 0.6962909658 -0.6819697127 + 0.3769835855 -0.5524433752 -0.7082839194 +-0.7299680182 0.0454313035 -0.6819697127 + 0.4009827382 0.0454313035 -0.9149583817 +-0.1884917927 0.2762216876 -0.9149583817 +-0.1884917927 -0.3568220898 -0.9149583817 +6 0 2 7 11 4 1 +6 0 3 9 14 6 2 +5 0 1 5 8 3 +6 1 4 10 19 12 5 +5 2 6 13 15 7 +6 3 8 16 26 17 9 +5 4 11 20 18 10 +6 5 12 21 25 16 8 +6 6 14 23 33 22 13 +6 7 15 24 30 20 11 +5 9 17 27 23 14 +6 10 18 28 39 29 19 +5 12 19 29 31 21 +6 13 22 32 34 24 15 +5 16 25 35 36 26 +6 17 26 36 46 37 27 +6 18 20 30 40 38 28 +6 21 31 41 45 35 25 +5 22 33 43 42 32 +6 23 27 37 47 43 33 +5 24 34 44 40 30 +5 28 38 48 49 39 +6 29 39 49 50 41 31 +6 32 42 51 52 44 34 +6 35 45 53 54 46 36 +5 37 46 54 55 47 +6 38 40 44 52 56 48 +5 41 50 57 53 45 +6 42 43 47 55 58 51 +6 48 56 59 57 50 49 +5 51 58 59 56 52 +6 53 57 59 58 55 54 +3 2 0 1 +3 2 3 0 +3 0 4 1 +3 1 5 2 +3 3 6 0 +3 2 7 3 +3 4 8 1 +3 0 9 4 +3 5 7 2 +3 1 10 5 +3 3 11 6 +3 6 9 0 +3 7 12 3 +3 4 13 8 +3 8 10 1 +3 9 13 4 +3 5 14 7 +3 10 15 5 +3 11 16 6 +3 12 11 3 +3 16 9 6 +3 7 17 12 +3 13 18 8 +3 8 19 10 +3 9 20 13 +3 14 17 7 +3 15 14 5 +3 19 15 10 +3 11 21 16 +3 12 22 11 +3 16 20 9 +3 17 22 12 +3 13 23 18 +3 18 19 8 +3 20 23 13 +3 14 24 17 +3 15 24 14 +3 19 25 15 +3 21 26 16 +3 22 21 11 +3 26 20 16 +3 17 27 22 +3 23 28 18 +3 28 19 18 +3 26 23 20 +3 24 27 17 +3 25 24 15 +3 28 25 19 +3 21 29 26 +3 22 29 21 +3 27 29 22 +3 23 30 28 +3 26 30 23 +3 24 31 27 +3 25 31 24 +3 28 31 25 +3 29 30 26 +3 31 29 27 +3 30 31 28 +3 29 30 31 +truncated dodecahedron +triakisicosahedron +2 3|5 +(10.10.3) +icosahedral group +A5 +12{10}+20{3} +30 60 90 32 60 1 0 0 2 2 3 120 5 0 -1 + 0.0000000000 0.0000000000 1.0000000000 + 0.3319544852 0.0000000000 0.9432954043 +-0.2860795036 0.1683814059 0.9432954043 + 0.1611340919 -0.2902233358 0.9432954043 + 0.5829886213 0.1683814059 0.7948408455 +-0.5878317720 0.1506049079 0.7948408455 +-0.4170113787 0.4408282437 0.7948408455 + 0.1357750258 -0.5914331516 0.7948408455 + 0.8183499926 0.1506049079 0.5546363234 + 0.6572159007 0.4408282437 0.6113409191 +-0.7899976948 -0.0465394760 0.6113409191 +-0.3427840993 0.7132750815 0.6113409191 +-0.0663908970 -0.7885775354 0.6113409191 + 0.2655635881 -0.7885775354 0.5546363234 + 0.9481385550 -0.0465394760 0.3144318014 + 0.5262840256 0.7132750815 0.4628863603 +-0.8153567609 -0.3477492917 0.4628863603 +-0.9462886360 -0.0753024539 0.3144318014 +-0.3935022315 0.8638799894 0.3144318014 +-0.0917499632 0.8816564874 0.4628863603 +-0.3681431654 -0.8063540334 0.4628863603 + 0.5009249595 -0.8063540334 0.3144318014 + 0.9227794888 -0.3477492917 0.1659772426 + 0.9970067683 -0.0753024539 -0.0175226837 + 0.4755658933 0.8638799894 0.1659772426 + 0.2402045220 0.8816564874 0.4061817646 +-0.6542226690 -0.6379726275 0.4061817646 +-0.9970067683 0.0753024539 0.0175226837 +-0.5497931728 0.8351170114 0.0175226837 +-0.5244341067 -0.8351170114 0.1659772426 + 0.5497931728 -0.8351170114 -0.0175226837 + 0.7519590956 -0.6379726275 0.1659772426 + 0.9462886360 0.0753024539 -0.3144318014 + 0.5244341067 0.8351170114 -0.1659772426 +-0.9481385550 0.0465394760 -0.3144318014 +-0.9227794888 0.3477492917 -0.1659772426 +-0.7519590956 0.6379726275 -0.1659772426 +-0.5009249595 0.8063540334 -0.3144318014 +-0.4755658933 -0.8638799894 -0.1659772426 + 0.3935022315 -0.8638799894 -0.3144318014 + 0.7899976948 0.0465394760 -0.6113409191 + 0.8153567609 0.3477492917 -0.4628863603 + 0.6542226690 0.6379726275 -0.4061817646 + 0.3681431654 0.8063540334 -0.4628863603 +-0.8183499926 -0.1506049079 -0.5546363234 +-0.2655635881 0.7885775354 -0.5546363234 +-0.5262840256 -0.7132750815 -0.4628863603 +-0.2402045220 -0.8816564874 -0.4061817646 + 0.0917499632 -0.8816564874 -0.4628863603 + 0.3427840993 -0.7132750815 -0.6113409191 + 0.5878317720 -0.1506049079 -0.7948408455 + 0.0663908970 0.7885775354 -0.6113409191 +-0.6572159007 -0.4408282437 -0.6113409191 +-0.5829886213 -0.1683814059 -0.7948408455 +-0.1357750258 0.5914331516 -0.7948408455 + 0.4170113787 -0.4408282437 -0.7948408455 + 0.2860795036 -0.1683814059 -0.9432954043 +-0.3319544852 0.0000000000 -0.9432954043 +-0.1611340919 0.2902233358 -0.9432954043 +-0.0000000000 -0.0000000000 -1.0000000000 + 0.1432337790 0.5257311121 0.8385051474 +-0.3901124942 -0.3804226065 0.8385051474 + 0.1432337790 -0.0843049040 0.8385051474 + 0.6463368675 -0.3804226065 0.6614584599 +-0.3749909018 0.2207131041 0.7357864254 + 0.5979747984 0.2207131041 0.5695840419 +-0.7989163046 0.4702282018 0.3749909018 + 0.0972965700 -0.6299377043 0.5695840419 + 0.8780939903 0.4702282018 0.0885233438 +-0.7412085774 -0.1364082001 0.4033816583 +-0.2405303491 0.7142426083 0.4033816583 + 0.0151215924 -0.9959593140 0.0885233438 + 0.8330829954 -0.1364082001 0.1344605528 + 0.3607955236 0.7142426083 0.3006629363 +-0.8780939903 -0.4702282018 -0.0885233438 +-0.0151215924 0.9959593140 -0.0885233438 +-0.4493188674 -0.6621393122 0.3006629363 + 0.5236468329 -0.6621393122 0.1344605528 + 0.7989163046 -0.4702282018 -0.3749909018 +-0.8330829954 0.1364082001 -0.1344605528 +-0.5236468329 0.6621393122 -0.1344605528 + 0.7412085774 0.1364082001 -0.4033816583 + 0.4493188674 0.6621393122 -0.3006629363 +-0.6463368675 0.3804226065 -0.6614584599 +-0.3607955236 -0.7142426083 -0.3006629363 + 0.2405303491 -0.7142426083 -0.4033816583 + 0.3901124942 0.3804226065 -0.8385051474 +-0.5979747984 -0.2207131041 -0.5695840419 +-0.0972965700 0.6299377043 -0.5695840419 +-0.1432337790 -0.5257311121 -0.8385051474 + 0.3749909018 -0.2207131041 -0.7357864254 +-0.1432337790 0.0843049040 -0.8385051474 +10 0 2 6 11 19 25 15 9 4 1 +10 0 3 7 12 20 26 16 10 5 2 +3 0 1 3 +10 1 4 8 14 22 31 21 13 7 3 +3 2 5 6 +3 4 9 8 +10 5 10 17 27 35 36 28 18 11 6 +3 7 13 12 +10 8 9 15 24 33 42 41 32 23 14 +3 10 16 17 +3 11 18 19 +10 12 13 21 30 39 48 47 38 29 20 +3 14 23 22 +3 15 25 24 +10 16 26 29 38 46 52 44 34 27 17 +10 18 28 37 45 51 43 33 24 25 19 +3 20 29 26 +3 21 31 30 +10 22 23 32 40 50 55 49 39 30 31 +3 27 34 35 +3 28 36 37 +3 32 41 40 +3 33 43 42 +10 34 44 53 57 58 54 45 37 36 35 +3 38 47 46 +3 39 49 48 +10 40 41 42 43 51 54 58 59 56 50 +3 44 52 53 +3 45 54 51 +10 46 47 48 49 55 56 59 57 53 52 +3 50 56 55 +3 57 59 58 +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 13 0 +3 9 14 1 +3 6 14 9 +3 10 15 6 +3 0 15 10 +3 1 16 11 +3 11 17 3 +3 3 18 12 +3 18 8 12 +3 8 15 13 +3 13 0 15 +3 14 16 1 +3 6 19 14 +3 15 20 6 +3 14 11 16 +3 11 18 17 +3 17 3 18 +3 18 21 8 +3 8 22 15 +3 19 23 14 +3 6 23 19 +3 20 23 6 +3 15 23 20 +3 14 24 11 +3 11 25 18 +3 18 26 21 +3 26 8 21 +3 26 22 8 +3 26 15 22 +3 23 27 14 +3 15 28 23 +3 14 29 24 +3 29 11 24 +3 29 25 11 +3 29 18 25 +3 18 30 26 +3 26 28 15 +3 27 29 14 +3 23 29 27 +3 26 23 28 +3 29 30 18 +3 29 26 30 +3 23 31 29 +3 26 31 23 +3 29 26 31 +rhombicosidodecahedron +deltoidal hexecontahedron +3 5|2 +(4.3.4.5) +icosahedral group +A5 +12{5}+30{4}+20{3} +31 60 120 62 60 1 0 0 2 3 4 120 5 0 -1 + 0.0000000000 0.0000000000 1.0000000000 + 0.4364663517 0.0000000000 0.8997205810 +-0.0230394894 0.4358578416 0.8997205810 +-0.3947875239 0.1861335198 0.8997205810 +-0.1650346033 -0.4040624406 0.8997205810 + 0.4134268623 0.4358578416 0.7994411620 + 0.7478962199 0.1861335198 0.6371856536 + 0.5411827887 -0.4040624406 0.7374650726 +-0.2253527696 0.7370282030 0.6371856536 +-0.5598221272 -0.2179289208 0.7994411620 +-0.5971008041 0.4873038812 0.6371856536 + 0.1694347542 -0.6537867624 0.7374650726 +-0.4551056902 -0.6219913614 0.6371856536 + 0.4808646224 0.7370282030 0.4749301452 + 0.8526126568 -0.2179289208 0.4749301452 + 0.8153339799 0.4873038812 0.3126746369 + 0.6875780535 -0.6219913614 0.3746507262 + 0.0860770985 0.9231617228 0.3746507262 +-0.5296630440 0.7884742426 0.3126746369 +-0.8641324015 -0.1664828812 0.4749301452 +-0.8871718909 0.2693749604 0.3746507262 +-0.1206363326 -0.8717156832 0.4749301452 + 0.3158300191 -0.8717156832 0.3746507262 +-0.7594159645 -0.5705453218 0.3126746369 + 0.6130206997 0.7884742426 0.0501397095 + 0.9847687342 -0.1664828812 0.0501397095 + 0.9617292448 0.2693749604 -0.0501397095 + 0.8197341309 -0.5705453218 -0.0501397095 +-0.2182331759 0.9746077624 0.0501397095 + 0.2182331759 0.9746077624 -0.0501397095 +-0.8197341309 0.5705453218 0.0501397095 +-0.9617292448 -0.2693749604 0.0501397095 +-0.9847687342 0.1664828812 -0.0501397095 +-0.2182331759 -0.9746077624 0.0501397095 + 0.2182331759 -0.9746077624 -0.0501397095 +-0.6130206997 -0.7884742426 -0.0501397095 + 0.7594159645 0.5705453218 -0.3126746369 + 0.8871718909 -0.2693749604 -0.3746507262 + 0.8641324015 0.1664828812 -0.4749301452 + 0.5296630440 -0.7884742426 -0.3126746369 +-0.3158300191 0.8717156832 -0.3746507262 + 0.1206363326 0.8717156832 -0.4749301452 +-0.6875780535 0.6219913614 -0.3746507262 +-0.8153339799 -0.4873038812 -0.3126746369 +-0.8526126568 0.2179289208 -0.4749301452 +-0.0860770985 -0.9231617228 -0.3746507262 +-0.4808646224 -0.7370282030 -0.4749301452 + 0.4551056902 0.6219913614 -0.6371856536 + 0.5971008041 -0.4873038812 -0.6371856536 + 0.5598221272 0.2179289208 -0.7994411620 + 0.2253527696 -0.7370282030 -0.6371856536 +-0.1694347542 0.6537867624 -0.7374650726 +-0.5411827887 0.4040624406 -0.7374650726 +-0.7478962199 -0.1861335198 -0.6371856536 +-0.4134268623 -0.4358578416 -0.7994411620 + 0.1650346033 0.4040624406 -0.8997205810 + 0.3947875239 -0.1861335198 -0.8997205810 + 0.0230394894 -0.4358578416 -0.8997205810 +-0.4364663517 -0.0000000000 -0.8997205810 + 0.0000000000 0.0000000000 -1.0000000000 + 0.2124281962 0.2239537475 0.9245941063 +-0.1379991118 0.2054301247 0.9245941063 +-0.2876494382 -0.1119768737 0.9245941063 + 0.2124281962 -0.3162277660 0.9245941063 + 0.6623583361 -0.1119768737 0.7063270456 + 0.5277148574 0.2054301247 0.7716443776 + 0.1583346290 0.7071067812 0.6891517578 +-0.3186422944 0.4743416490 0.7896976442 +-0.7144788670 0.1207882584 0.6891517578 +-0.3897157456 -0.4108602493 0.7716443776 +-0.1467842735 -0.6555240367 0.7063270456 + 0.6313654799 0.4743416490 0.5714305835 + 0.9436228948 0.1207882584 0.3081980354 + 0.4403528206 -0.6555240367 0.5714305835 + 0.6874320834 -0.4108602493 0.5241665181 +-0.2279246243 0.8794777841 0.3531635228 +-0.4465745066 0.6647858481 0.5241665181 +-0.6778547641 -0.4051361351 0.5714305835 +-0.7280022588 0.5435471629 0.3531635228 + 0.1204287884 -0.7917486474 0.5241665181 +-0.4686190076 -0.8278950396 0.3081980354 + 0.6305733224 0.6647858481 0.2766886585 + 0.3592124698 0.8794777841 0.2182670607 + 0.8592901042 -0.4051361351 0.2182670607 + 0.8091426096 0.5435471629 -0.0000000000 + 0.5561442379 -0.8278950396 0.0727556869 + 0.0284293805 0.9486832981 0.1237389298 +-0.5561442379 0.8278950396 -0.0727556869 +-0.9500077743 0.0000000000 0.2182670607 +-0.8538605757 -0.3323929240 0.2766886585 +-0.8890012226 0.3323929240 0.1237389298 + 0.0501474947 -0.9486832981 0.2182670607 +-0.8091426096 -0.5435471629 -0.0000000000 + 0.4686190076 0.8278950396 -0.3081980354 + 0.8890012226 -0.3323929240 -0.1237389298 + 0.9500077743 0.0000000000 -0.2182670607 + 0.8538605757 0.3323929240 -0.2766886585 + 0.7280022588 -0.5435471629 -0.3531635228 +-0.0501474947 0.9486832981 -0.2182670607 +-0.8592901042 0.4051361351 -0.2182670607 +-0.9436228948 -0.1207882584 -0.3081980354 +-0.3592124698 -0.8794777841 -0.2182670607 +-0.0284293805 -0.9486832981 -0.1237389298 + 0.2279246243 -0.8794777841 -0.3531635228 +-0.6305733224 -0.6647858481 -0.2766886585 + 0.6778547641 0.4051361351 -0.5714305835 + 0.7144788670 -0.1207882584 -0.6891517578 + 0.4465745066 -0.6647858481 -0.5241665181 +-0.1204287884 0.7917486474 -0.5241665181 +-0.4403528206 0.6555240367 -0.5714305835 + 0.1467842735 0.6555240367 -0.7063270456 +-0.6874320834 0.4108602493 -0.5241665181 +-0.6313654799 -0.4743416490 -0.5714305835 +-0.6623583361 0.1119768737 -0.7063270456 +-0.1583346290 -0.7071067812 -0.6891517578 + 0.3897157456 0.4108602493 -0.7716443776 + 0.3186422944 -0.4743416490 -0.7896976442 + 0.2876494382 0.1119768737 -0.9245941063 +-0.2124281962 0.3162277660 -0.9245941063 +-0.5277148574 -0.2054301247 -0.7716443776 +-0.2124281962 -0.2239537475 -0.9245941063 + 0.1379991118 -0.2054301247 -0.9245941063 +4 0 2 5 1 +3 0 3 2 +4 0 4 9 3 +5 0 1 7 11 4 +4 1 6 14 7 +3 1 5 6 +5 2 8 17 13 5 +4 2 3 10 8 +5 3 9 19 20 10 +3 4 12 9 +4 4 11 21 12 +4 5 13 15 6 +5 6 15 26 25 14 +4 7 16 22 11 +3 7 14 16 +4 8 18 28 17 +3 8 10 18 +4 9 12 23 19 +4 10 20 30 18 +3 11 22 21 +5 12 21 33 35 23 +3 13 24 15 +4 13 17 29 24 +4 14 25 27 16 +4 15 24 36 26 +5 16 27 39 34 22 +3 17 28 29 +5 18 30 42 40 28 +4 19 31 32 20 +3 19 23 31 +3 20 32 30 +4 21 22 34 33 +4 23 35 43 31 +5 24 29 41 47 36 +3 25 37 27 +4 25 26 38 37 +3 26 36 38 +4 27 37 48 39 +4 28 40 41 29 +4 30 32 44 42 +5 31 43 53 44 32 +4 33 45 46 35 +3 33 34 45 +4 34 39 50 45 +3 35 46 43 +4 36 47 49 38 +5 37 38 49 56 48 +3 39 48 50 +3 40 51 41 +4 40 42 52 51 +4 41 51 55 47 +3 42 44 52 +4 43 46 54 53 +4 44 53 58 52 +5 45 50 57 54 46 +3 47 55 49 +4 48 56 57 50 +4 49 55 59 56 +5 51 52 58 59 55 +3 53 54 58 +4 54 57 59 58 +3 56 59 57 +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 3 13 14 4 +4 6 15 16 7 +4 8 17 9 2 +4 16 18 8 7 +4 10 19 13 3 +4 17 20 10 9 +4 11 21 22 6 +4 14 23 12 4 +4 12 24 21 11 +4 13 25 23 14 +4 22 26 15 6 +4 15 27 18 16 +4 8 28 29 17 +4 18 30 28 8 +4 20 31 19 10 +4 31 25 13 19 +4 29 32 20 17 +4 24 33 22 21 +4 23 34 35 12 +4 35 36 24 12 +4 25 37 34 23 +4 26 38 27 15 +4 33 38 26 22 +4 27 39 30 18 +4 28 40 32 29 +4 39 40 28 30 +4 20 41 42 31 +4 42 43 25 31 +4 32 44 41 20 +4 36 45 33 24 +4 37 46 35 34 +4 46 45 36 35 +4 43 47 37 25 +4 38 48 49 27 +4 33 50 48 38 +4 49 51 39 27 +4 40 52 44 32 +4 51 53 40 39 +4 41 54 43 42 +4 52 54 41 44 +4 45 55 50 33 +4 47 56 46 37 +4 46 57 55 45 +4 54 56 47 43 +4 50 58 49 48 +4 58 53 51 49 +4 53 59 52 40 +4 59 60 54 52 +4 57 58 50 55 +4 56 61 57 46 +4 60 61 56 54 +4 58 60 59 53 +4 57 58 60 61 +truncated icosidodecahedron +disdyakistriacontahedron +2 3 5| +(4.6.10) +icosahedral group +A5 +12{10}+20{6}+30{4} +32 120 180 62 120 1 0 0 2 3 3 120 5 0 -1 + 0.0000000000 0.0000000000 1.0000000000 + 0.2607080006 0.0000000000 0.9654177015 +-0.0045873783 0.2606676380 0.9654177015 +-0.2192156342 -0.1411140222 0.9654177015 + 0.2561208549 0.2606676380 0.9308353722 + 0.4633267724 -0.1411140222 0.8748800687 +-0.2283903908 0.3802212538 0.8962531046 +-0.3132059807 -0.3694413065 0.8748800687 +-0.4430186467 -0.0215604065 0.8962531046 + 0.4541524811 0.3802212538 0.8057154101 + 0.5304628314 -0.3694413065 0.7629694001 + 0.6613583986 -0.0215604065 0.7497601066 +-0.3298032754 0.5736633003 0.7497601066 +-0.4476060250 0.2391072316 0.8616708061 +-0.5370090771 -0.2498878945 0.8057153910 +-0.2460699217 -0.5977685908 0.7629694001 + 0.5138663784 0.5736633003 0.6378493263 + 0.6567712529 0.2391072316 0.7151777773 + 0.7284945175 -0.2498878945 0.6378493381 + 0.4364724850 -0.5977685908 0.6724317673 +-0.5490190001 0.4325494506 0.7151776775 +-0.2700897570 0.7671054904 0.5818940537 +-0.6936761144 -0.3586617667 0.6246400447 +-0.0434511498 -0.7388826131 0.6724317673 +-0.4027369590 -0.7065424630 0.5818940537 + 0.7164852035 0.4325494506 0.5473115438 + 0.4124538677 0.7671054904 0.4913562594 + 0.8325358571 -0.3586617667 0.4221916434 + 0.2172568508 -0.7388826131 0.6378494688 + 0.5405138246 -0.7065424630 0.4567740725 +-0.7085212064 0.4848777911 0.5127291954 +-0.0720583700 0.8866594825 0.4567740725 +-0.4295919633 0.8194338309 0.3794455716 +-0.8531785590 -0.3063341981 0.4221915508 +-0.6265400554 -0.5869890510 0.5127293760 +-0.2001180064 -0.8476566112 0.4913563402 + 0.8176915179 0.4848777911 0.3102806942 + 0.1886510811 0.8866594825 0.4221915817 + 0.5136601821 0.8194338309 0.2543254098 + 0.9337423985 -0.3063341981 0.1851607203 + 0.7385455107 -0.5869890510 0.3316540106 + 0.3212979948 -0.8476566112 0.4221917432 +-0.8651885085 0.3761046523 0.3316536375 +-0.6488076880 0.6783199813 0.3448631425 +-0.2315603996 0.9389879297 0.2543254788 +-0.7860426423 -0.5346614357 0.3102807015 +-0.9545918983 -0.1128925413 0.2756983531 +-0.0960768624 -0.9564306093 0.2756986145 + 0.9217330580 0.3761046523 0.0946227263 + 0.7162790072 0.6783199813 0.1637876273 + 0.2898571959 0.9389879297 0.1851606704 + 0.8397521423 -0.5346614357 0.0946228761 + 0.9934566827 -0.1128925413 0.0172943252 + 0.1646311382 -0.9564306093 0.2411163161 +-0.8054751299 0.5695467454 0.1637874231 +-0.9591793219 0.1477776761 0.2411157125 +-0.1303544328 0.9913166095 0.0172945558 +-0.8203200648 -0.5695470165 0.0518766546 +-0.9888693637 -0.1477781439 0.0172916663 +-0.1303536668 -0.9913167102 0.0172945558 + 0.8203206401 0.5695467454 -0.0518705331 + 0.9888694917 0.1477776761 -0.0172883463 + 0.1303553059 0.9913166095 -0.0172879732 + 0.8054761704 -0.5695470165 -0.1637813633 + 0.9591800640 -0.1477781439 -0.2411124739 + 0.1303545664 -0.9913167102 -0.0172877735 +-0.8397525647 0.5346618623 -0.0946167165 +-0.9934567883 0.1128921245 -0.0172909812 +-0.1646312678 0.9564322465 -0.2411097335 +-0.7162795951 -0.6783208443 -0.1637814823 +-0.9217334041 -0.3761053597 -0.0946165431 +-0.2898558028 -0.9389895580 -0.1851545936 + 0.7860446559 0.5346618623 -0.3102748651 + 0.9545928720 0.1128921245 -0.2756951522 + 0.0960787036 0.9564322465 -0.2756922934 + 0.6488098576 -0.6783208443 -0.3448573632 + 0.8651904546 -0.3761053597 -0.3316477584 + 0.2315606390 -0.9389895580 -0.2543192490 +-0.7385472639 0.5869902473 -0.3316479890 +-0.9337433781 0.3063348862 -0.1851546415 +-0.3212992842 0.8476584134 -0.4221871436 +-0.8176928415 -0.4848792845 -0.3102748723 +-0.5136611563 -0.8194350139 -0.2543196306 +-0.1886494644 -0.8866613987 -0.4221882798 + 0.6265433179 0.5869902473 -0.5127240198 + 0.8531810896 0.3063348862 -0.4221859376 + 0.2001204504 0.8476584134 -0.4913522358 + 0.7085240020 -0.4848792845 -0.5127239199 + 0.4295944104 -0.8194350139 -0.3794402462 + 0.0720576700 -0.8866613987 -0.4567704634 +-0.8325379870 0.3586633178 -0.4221861255 +-0.5405162125 0.7065442357 -0.4567685048 +-0.2172590958 0.7388844270 -0.6378466030 +-0.7164876491 -0.4325518944 -0.5473064108 +-0.4124548660 -0.7671068289 -0.4913533317 + 0.6936796092 0.3586633178 -0.6246352729 + 0.4027407159 0.7065442357 -0.5818893011 + 0.0434540643 0.7388844270 -0.6724295858 + 0.5490226993 -0.4325518944 -0.7151733596 + 0.2700914841 -0.7671068289 -0.5818914876 +-0.7284976588 0.2498903768 -0.6378447779 +-0.4364761587 0.5977701626 -0.6724279854 +-0.6567747682 -0.2391103983 -0.7151734903 +-0.5138692103 -0.5736660641 -0.6378445591 + 0.5370132986 0.2498903768 -0.8057118075 + 0.2460744543 0.5977701626 -0.7629667067 + 0.4476105365 -0.2391103983 -0.8616675838 + 0.3298072522 -0.5736660641 -0.7497562426 +-0.6613622562 0.0215634725 -0.7497566156 +-0.5304666075 0.3694443652 -0.7629652937 +-0.4541562762 -0.3802243954 -0.8057117884 + 0.4430232811 0.0215634725 -0.8962507401 + 0.3132106967 0.3694443652 -0.8748770888 + 0.2283949989 -0.3802243954 -0.8962505976 +-0.4633311450 0.1411172572 -0.8748772313 +-0.2561255056 -0.2606708670 -0.9308331883 + 0.2192205953 0.1411172572 -0.9654161022 + 0.0045924376 -0.2606708670 -0.9654168056 +-0.2607129987 0.0000032913 -0.9654163518 + 0.0000051771 0.0000032912 -0.9999999999 + 0.1200387571 0.1221698550 0.9049446030 +-0.2175780247 0.1162282816 0.9049446030 + 0.1200387571 -0.4082474279 0.9049446030 + 0.4459799746 0.1162282816 0.8169252068 + 0.1016985225 0.6339220449 0.7666817889 +-0.3544276914 -0.1832548434 0.8300952867 + 0.5585832497 -0.1832548434 0.7089865490 +-0.3643565320 0.3809295903 0.7552459704 +-0.4568036952 -0.4649138222 0.6745068322 +-0.7747432361 0.0697368203 0.6284189748 + 0.5486549126 0.3809295903 0.6341371659 + 0.6168557011 -0.4649138222 0.5320884576 + 0.9117846887 0.0697368203 0.4047050422 +-0.4756956529 0.6085799433 0.5320883790 +-0.2091195905 -0.6774423865 0.5878778112 + 0.5979647013 0.6085799433 0.3896698773 + 0.3551522032 -0.6774423865 0.5130284950 +-0.2351136470 0.7996124516 0.3919196492 +-0.6935150612 -0.4186830921 0.4381790039 + 0.0589047087 -0.8240793946 0.4440690614 +-0.5063278658 -0.8431340489 0.1809911096 + 0.3291594648 0.7996124516 0.3170701581 + 0.7837684883 -0.4186830921 0.2422208418 + 0.5360037147 -0.8431340489 0.0427282955 +-0.7095802914 0.4941881267 0.3170700500 + 0.0283375922 0.9128709077 0.2136305953 +-0.5360037809 0.8431342740 -0.0427230226 +-0.8627717620 -0.3317288924 0.1592318224 + 0.7677040727 0.4941881267 0.1211117799 + 0.5063293044 0.8431342740 -0.1809860363 + 0.8744481415 -0.3317288924 -0.0712062810 +-0.8744476717 0.3317288831 0.0712120936 +-0.9130127824 -0.0000002089 0.1211105323 + 0.0160652247 -0.9128709077 0.1211120373 + 0.8627728239 0.3317288831 -0.1592260883 + 0.9130131866 -0.0000002089 -0.1211074853 +-0.0160644264 0.9128718312 -0.1211060185 +-0.7677045094 -0.4941888273 -0.1211061534 +-0.9117856757 -0.0697383469 -0.4047106460 +-0.0283368549 -0.9128720729 -0.2136250368 + 0.7095821798 -0.4941888273 -0.3170647319 + 0.7747427279 -0.0697383469 -0.6284246421 +-0.7837697662 0.4186839017 -0.2422153076 +-0.0589041897 0.8240821079 -0.4440651491 +-0.5979663637 -0.6085817063 -0.3896645730 +-0.3291594183 -0.7996144008 -0.3170661961 + 0.6935177376 0.4186839017 -0.4381739942 + 0.4756986407 -0.6085817063 -0.5320836915 + 0.2351146351 -0.7996144008 -0.3919158121 +-0.6168583888 0.4649158905 -0.5320835344 +-0.3551545140 0.6774441676 -0.5130247732 +-0.1016986410 -0.6339226751 -0.7666826828 + 0.4568075735 0.4649158905 -0.6745027800 + 0.2091227917 0.6774441676 -0.5878748207 +-0.1200394924 0.4082445693 -0.9049501465 +-0.5486577777 -0.3809323480 -0.6341330304 + 0.3643603762 -0.3809323480 -0.7552427249 +-0.5585867166 0.1832576685 -0.7089830873 +-0.4459830958 -0.1162285368 -0.8169244453 + 0.3544319409 0.1832576685 -0.8300928486 + 0.2175812365 -0.1162285368 -0.9049446815 +-0.1200388929 -0.1221699932 -0.9049456265 +4 0 2 4 1 +6 0 3 8 13 6 2 +10 0 1 5 10 19 28 23 15 7 3 +6 1 4 9 17 11 5 +10 2 6 12 21 31 37 26 16 9 4 +4 3 7 14 8 +4 5 11 18 10 +4 6 13 20 12 +6 7 15 24 34 22 14 +10 8 14 22 33 46 55 42 30 20 13 +4 9 16 25 17 +6 10 18 27 40 29 19 +10 11 17 25 36 48 61 52 39 27 18 +6 12 20 30 43 32 21 +4 15 23 35 24 +6 16 26 38 49 36 25 +4 19 29 41 28 +4 21 32 44 31 +4 22 34 45 33 +6 23 28 41 53 47 35 +10 24 35 47 59 71 82 69 57 45 34 +4 26 37 50 38 +4 27 39 51 40 +10 29 40 51 63 75 88 77 65 53 41 +4 30 42 54 43 +6 31 44 56 62 50 37 +10 32 43 54 66 78 91 80 68 56 44 +6 33 45 57 70 58 46 +4 36 49 60 48 +10 38 50 62 74 86 96 84 72 60 49 +6 39 52 64 76 63 51 +6 42 55 67 79 66 54 +4 46 58 67 55 +4 47 53 65 59 +6 48 60 72 85 73 61 +4 52 61 73 64 +4 56 68 74 62 +4 57 69 81 70 +10 58 70 81 93 102 108 100 90 79 67 +6 59 65 77 89 83 71 +4 63 76 87 75 +10 64 73 85 95 104 111 106 98 87 76 +4 66 79 90 78 +6 68 80 92 97 86 74 +6 69 82 94 103 93 81 +4 71 83 94 82 +4 72 84 95 85 +6 75 87 98 107 99 88 +4 77 88 99 89 +6 78 90 100 109 101 91 +4 80 91 101 92 +10 83 89 99 107 113 117 115 110 103 94 +6 84 96 105 112 104 95 +4 86 97 105 96 +10 92 101 109 114 118 119 116 112 105 97 +4 93 103 110 102 +4 98 106 113 107 +4 100 108 114 109 +6 102 110 115 118 114 108 +4 104 112 116 111 +6 106 111 116 119 117 113 +4 115 117 119 118 +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 7 1 +3 5 8 2 +3 1 9 5 +3 3 10 4 +3 2 11 6 +3 6 12 3 +3 4 13 7 +3 7 9 1 +3 9 8 5 +3 8 14 2 +3 10 15 4 +3 12 10 3 +3 11 12 6 +3 2 16 11 +3 13 9 7 +3 4 17 13 +3 9 18 8 +3 14 19 2 +3 8 20 14 +3 12 15 10 +3 15 21 4 +3 11 22 12 +3 19 16 2 +3 16 23 11 +3 13 24 9 +3 4 25 17 +3 17 26 13 +3 9 27 18 +3 18 20 8 +3 20 19 14 +3 12 28 15 +3 21 25 4 +3 15 29 21 +3 22 30 12 +3 23 22 11 +3 19 23 16 +3 24 31 9 +3 26 24 13 +3 25 26 17 +3 27 20 18 +3 9 32 27 +3 20 33 19 +3 12 34 28 +3 28 29 15 +3 29 25 21 +3 23 30 22 +3 30 35 12 +3 33 23 19 +3 26 31 24 +3 31 32 9 +3 25 36 26 +3 27 37 20 +3 32 38 27 +3 20 39 33 +3 34 29 28 +3 35 34 12 +3 29 36 25 +3 23 40 30 +3 30 41 35 +3 39 23 33 +3 26 42 31 +3 31 38 32 +3 36 43 26 +3 37 44 20 +3 38 37 27 +3 20 45 39 +3 34 46 29 +3 41 34 35 +3 29 43 36 +3 23 47 40 +3 40 41 30 +3 39 48 23 +3 26 49 42 +3 42 38 31 +3 43 50 26 +3 38 44 37 +3 44 45 20 +3 45 51 39 +3 46 52 29 +3 41 46 34 +3 29 53 43 +3 47 41 40 +3 48 47 23 +3 51 48 39 +3 49 38 42 +3 50 49 26 +3 43 54 50 +3 38 55 44 +3 44 51 45 +3 41 52 46 +3 52 53 29 +3 53 54 43 +3 47 56 41 +3 51 47 48 +3 49 57 38 +3 54 49 50 +3 38 58 55 +3 55 51 44 +3 41 59 52 +3 52 54 53 +3 56 60 41 +3 51 56 47 +3 57 58 38 +3 54 57 49 +3 58 51 55 +3 60 59 41 +3 59 54 52 +3 51 60 56 +3 54 58 57 +3 58 61 51 +3 60 54 59 +3 61 60 51 +3 54 61 58 +3 60 54 61 +snub dodecahedron +pentagonal hexecontahedron +|2 3 5 +(3.3.3.3.5) +icosahedral group +A5 +12{5}+80{3} +33 60 150 92 60 1 0 0 2 2 5 120 5 0 -1 + 0.0000000000 0.0000000000 1.0000000000 + 0.4512088258 0.0000000000 0.8924183971 + 0.2127790861 0.3978875029 0.8924183971 +-0.2505259628 0.3752680994 0.8924183971 +-0.4490629634 -0.0439529224 0.8924183971 +-0.1730083366 -0.4167223535 0.8924183971 + 0.5570628795 -0.4167223535 0.7183477071 + 0.8034191070 -0.0439529224 0.5937894232 + 0.6262410352 0.3752680994 0.6833710701 + 0.3401140582 0.7292026799 0.5937894232 +-0.4095292581 0.6926037162 0.5937894232 +-0.6598181766 0.3124803264 0.6833710701 +-0.5867073299 -0.4344864666 0.6833710701 +-0.2674638242 -0.7588657481 0.5937894232 + 0.1712754568 -0.6742709318 0.7183477071 + 0.5066126656 -0.7588657481 0.4092265672 + 0.8319314730 -0.4344864666 0.3451253896 + 0.9853200794 -0.0345183587 0.1671909808 + 0.6986399371 0.6437955034 0.3121371303 + 0.3534611035 0.9196768661 0.1710546996 +-0.0444936500 0.9113473168 0.4092265672 +-0.4413672010 0.8808718883 0.1710546996 +-0.7580304168 0.5726781810 0.3121371303 +-0.9277164283 0.1422346447 0.3451253896 +-0.8825314401 -0.3194162218 0.3451253896 +-0.6326042630 -0.7087892905 0.3121371303 + 0.0822881568 -0.9349423109 0.3451253896 + 0.3841470954 -0.9232462719 -0.0068797092 + 0.9105239830 -0.3983895691 -0.1105975932 + 0.9561362417 0.0261888093 -0.2917492648 + 0.9205629910 0.3905335442 -0.0068797092 + 0.6521763631 0.7453882542 -0.1380664403 +-0.0487110154 0.9977300839 -0.0464964156 +-0.4177242369 0.8604584989 -0.2917492648 +-0.9300960831 0.3617906055 -0.0634730968 +-0.9941677927 -0.0973061317 -0.0464964156 +-0.8422948163 -0.5352668572 -0.0634730968 +-0.5085214838 -0.8539169004 -0.1105975932 +-0.0666936701 -0.9936871537 -0.0902097278 + 0.2171184410 -0.8730158634 -0.4366954143 + 0.6337780180 -0.7004597412 -0.3281487085 + 0.7752228621 -0.3165232566 -0.5466649267 + 0.7846911652 0.4275505711 -0.4488432737 + 0.4346204276 0.7157251860 -0.5466649267 + 0.0014482055 0.8716810135 -0.4900715391 +-0.3439002478 0.6359394784 -0.6908788601 +-0.7197752973 0.5396486232 -0.4366954143 +-0.8871554693 0.1072142198 -0.4488432737 +-0.6414198315 -0.6014211198 -0.4763121208 +-0.2422737833 -0.8373370292 -0.4900715391 + 0.4183769714 -0.5607792259 -0.7144839884 + 0.4919671680 -0.1269691999 -0.8613054788 + 0.4978189011 0.3328937158 -0.8008483725 + 0.0947401619 0.5614556665 -0.8220655912 +-0.5854826930 0.2482988995 -0.7717238319 +-0.6691452398 -0.2043459771 -0.7144839884 +-0.3249352618 -0.5030496595 -0.8008483725 + 0.0833693593 -0.3321275372 -0.9395428936 + 0.1242523988 0.1277815601 -0.9839884218 +-0.2961484454 -0.0657599657 -0.9528755035 + 0.2190839064 0.1312836377 0.9188614921 +-0.0124546442 0.2551039658 0.9188614921 +-0.2308305197 0.1093179889 0.9188614921 +-0.2052534511 -0.1520005669 0.9188614921 + 0.2190839064 -0.3281703830 0.9188614921 + 0.5977703708 -0.1520005669 0.7273967313 + 0.6205958173 0.1093179889 0.7158561322 + 0.4257131685 0.2551039658 0.8143892546 + 0.3890572668 0.4957055924 0.7158561322 +-0.0330094857 0.6761213397 0.7360504792 +-0.4354944038 0.4554494653 0.7158561322 +-0.4485386151 0.2124213879 0.8143892546 +-0.7630826557 -0.0746882186 0.6419708175 +-0.3988385021 -0.2953600929 0.8143892546 +-0.3389195666 -0.5312467586 0.7158561322 +-0.0888218963 -0.6103640383 0.7273967313 + 0.4074741194 -0.6103640383 0.6090650015 + 0.6254586613 -0.5312467586 0.4859196824 + 0.7233904360 -0.2953600929 0.5468165011 + 0.8646946053 -0.1692512546 0.3649614304 + 0.8780829721 0.2897337362 0.3808210291 + 0.5493678557 0.5768433427 0.5243913714 + 0.4593636674 0.7564719129 0.3553517403 + 0.2141655150 0.8447510749 0.3873865601 +-0.2954354429 0.8198714201 0.3873865601 +-0.5308680756 0.7081269803 0.3553517403 +-0.6029463352 0.5205852472 0.5243913714 +-0.7739230465 0.3389900646 0.4423442636 +-0.6935065744 -0.4826176302 0.4423442636 +-0.4905640004 -0.6276147261 0.5243913714 +-0.3032002312 -0.9251016481 0.2285969389 +-0.0045863974 -0.7813515677 0.5468165011 + 0.2508214168 -0.7813515677 0.4859196824 + 0.3210587649 -0.8635013917 0.2466297006 + 0.7110959079 -0.6998764938 0.0671974935 + 0.9000340357 -0.2861982107 0.1325477729 + 0.9410156039 -0.1341976438 -0.0775900694 + 0.9443279912 0.1261088383 -0.0433681826 + 0.7494453424 0.5872206583 0.0551649398 + 0.5623291395 0.7618123698 0.1138746914 + 0.3032002312 0.9251016481 -0.2285969389 + 0.0858720409 0.9333521346 0.1761231918 +-0.1763828687 0.9205483682 0.1761231918 +-0.2995309163 0.9037575188 -0.0551649398 +-0.7110959079 0.6998764938 -0.0671974935 +-0.8631016874 0.3552600725 0.1959217993 +-0.9410156039 0.1341976438 0.0775900694 +-0.9253215715 -0.0905676721 0.2124078137 +-0.8971365698 -0.3141104098 0.0775900694 +-0.7778380870 -0.5158702863 0.1959217993 +-0.6544328852 -0.6922296665 0.0455552496 + 0.1318953941 -0.9409811017 0.0818398716 + 0.1763828687 -0.9205483682 -0.1761231918 + 0.4075046572 -0.8237974999 -0.2546315508 + 0.7653310532 -0.4670045122 -0.3251380596 + 0.8716936806 -0.2272456248 -0.3131280032 + 0.7630826557 0.0746882186 -0.6419708175 + 0.8781301501 0.2785692436 -0.2466297006 + 0.7778380870 0.5158702863 -0.1959217993 + 0.6175005369 0.6231678047 -0.3740248218 +-0.1534232428 0.9007249745 -0.2733046324 +-0.2508214168 0.7813515677 -0.4859196824 +-0.4887903007 0.6717969331 -0.4683081420 +-0.8370961923 0.3328068685 -0.3131280032 +-0.9276324486 0.1226425968 -0.1843812002 +-0.8780829721 -0.2897337362 -0.3808210291 +-0.6573415966 -0.6568033615 -0.2145948808 +-0.4593636674 -0.7564719129 -0.3553517403 +-0.2697318228 -0.8859007376 -0.2279566191 +-0.0303057331 -0.8922024719 -0.3355531328 + 0.0330094857 -0.6761213397 -0.7360504792 + 0.4187988612 -0.7042009004 -0.4881067495 + 0.6029463352 -0.5205852472 -0.5243913714 + 0.5561556114 -0.3313610975 -0.7003073269 + 0.5665700378 0.4870645516 -0.5927108132 + 0.3389195666 0.5312467586 -0.7158561322 + 0.1751412372 0.7090205159 -0.6133148036 +-0.0817329434 0.6826950901 -0.6608984288 +-0.2190839064 0.3281703830 -0.9188614921 +-0.5441424799 0.4698138638 -0.6266765419 +-0.7233904360 0.2953600929 -0.5468165011 +-0.7066849651 0.0498778478 -0.6384732991 +-0.5396360317 -0.4318462468 -0.6571463807 +-0.3987890908 -0.6407026882 -0.5831011230 + 0.3278774074 -0.3365097556 -0.8299380599 + 0.2308305197 -0.1093179889 -0.9188614921 + 0.3675788294 0.1101068700 -0.8730990062 + 0.2365131238 0.3372537898 -0.8601517406 +-0.5116812230 -0.0071952699 -0.8047795644 +-0.4257131685 -0.2551039658 -0.8143892546 +-0.1774197357 -0.2972657023 -0.8886478115 +-0.0292095264 -0.0891219012 -0.9490751728 +3 0 2 1 +3 0 3 2 +3 0 4 3 +3 0 5 4 +5 0 1 6 14 5 +3 1 7 6 +3 1 8 7 +3 1 2 8 +3 2 9 8 +5 2 3 10 20 9 +3 3 11 10 +3 3 4 11 +5 4 12 24 23 11 +3 4 5 12 +3 5 13 12 +3 5 14 13 +3 6 15 14 +3 6 16 15 +3 6 7 16 +3 7 17 16 +5 7 8 18 30 17 +3 8 9 18 +3 9 19 18 +3 9 20 19 +3 10 21 20 +3 10 22 21 +3 10 11 22 +3 11 23 22 +3 12 25 24 +3 12 13 25 +5 13 26 38 37 25 +3 13 14 26 +3 14 15 26 +3 15 27 26 +5 15 16 28 40 27 +3 16 17 28 +3 17 29 28 +3 17 30 29 +3 18 31 30 +3 18 19 31 +5 19 32 44 43 31 +3 19 20 32 +3 20 21 32 +3 21 33 32 +5 21 22 34 46 33 +3 22 23 34 +3 23 35 34 +3 23 24 35 +3 24 36 35 +3 24 25 36 +3 25 37 36 +3 26 27 38 +3 27 39 38 +3 27 40 39 +3 28 41 40 +3 28 29 41 +5 29 42 52 51 41 +3 29 30 42 +3 30 31 42 +3 31 43 42 +3 32 33 44 +3 33 45 44 +3 33 46 45 +3 34 47 46 +3 34 35 47 +5 35 36 48 55 47 +3 36 37 48 +3 37 49 48 +3 37 38 49 +3 38 39 49 +5 39 50 57 56 49 +3 39 40 50 +3 40 41 50 +3 41 51 50 +3 42 43 52 +3 43 53 52 +3 43 44 53 +3 44 45 53 +5 45 54 59 58 53 +3 45 46 54 +3 46 47 54 +3 47 55 54 +3 48 56 55 +3 48 49 56 +3 50 51 57 +3 51 58 57 +3 51 52 58 +3 52 53 58 +3 54 55 59 +3 55 56 59 +3 56 57 59 +3 57 58 59 +5 4 0 1 2 3 +5 4 5 6 7 0 +5 7 8 9 1 0 +5 9 10 11 2 1 +5 11 12 13 3 2 +5 13 14 15 4 3 +5 4 16 17 18 5 +5 18 19 20 6 5 +5 20 21 8 7 6 +5 21 22 23 9 8 +5 9 24 25 26 10 +5 26 27 12 11 10 +5 12 28 29 14 13 +5 29 30 31 15 14 +5 31 32 16 4 15 +5 32 33 34 17 16 +5 34 35 19 18 17 +5 35 36 37 20 19 +5 20 38 39 22 21 +5 39 40 41 23 22 +5 41 42 24 9 23 +5 42 43 44 25 24 +5 44 45 27 26 25 +5 45 46 47 12 27 +5 47 48 49 28 12 +5 49 50 30 29 28 +5 30 51 33 32 31 +5 51 52 53 34 33 +5 34 54 55 36 35 +5 55 56 57 37 36 +5 57 58 38 20 37 +5 58 59 40 39 38 +5 40 60 43 42 41 +5 60 61 62 44 43 +5 44 63 64 46 45 +5 64 65 48 47 46 +5 65 66 50 49 48 +5 66 67 68 30 50 +5 68 69 52 51 30 +5 69 70 71 53 52 +5 71 72 54 34 53 +5 72 73 56 55 54 +5 56 74 59 58 57 +5 74 75 76 40 59 +5 76 77 61 60 40 +5 77 78 79 62 61 +5 79 80 63 44 62 +5 80 81 65 64 63 +5 65 82 83 67 66 +5 83 70 69 68 67 +5 70 84 73 72 71 +5 84 85 86 56 73 +5 86 87 75 74 56 +5 87 78 77 76 75 +5 78 88 81 80 79 +5 88 89 82 65 81 +5 89 90 70 83 82 +5 90 91 85 84 70 +5 91 78 87 86 85 +5 78 88 89 90 91 |
