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|
- # 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
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- 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
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- 3 0 8 4
- 3 1 9 5
- 3 3 10 6
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- 3 8 7 4
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- 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
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- -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
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- 3 0 4 1
- 3 1 3 2
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- 3 4 6 1
- 3 0 6 4
- 3 1 7 3
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- 3 11 3 7
- 3 3 12 8
- 3 8 10 0
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- 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
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- 3 1 5 6
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- 4 2 3 10 8
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- 4 5 12 14 6
- 4 6 14 20 13
- 3 7 13 15
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- 3 8 10 16
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- 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
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- 8 2 6 12 21 25 16 9 4
- 4 3 7 14 8
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- 8 8 14 22 30 36 28 20 13
- 4 9 16 24 17
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- 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
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- 3 2 6 3
- 3 4 7 1
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- 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
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- 3 0 2 1
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- 4 0 1 6 5
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- 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}
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- 3 2 3 8
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- 3 4 5 10
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- 5 15 16 18 19 17
- dodecahedron
- icosahedron
- 3|2 5
- (5.5.5)
- icosahedral group
- A5
- 12{5}
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- 3 2 0 1
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- 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
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- 3 2 7 8
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- 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
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- 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
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- 3 2 0 1
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- 3 26 30 23
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- 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
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