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3222132231322413225132261322713228132291323013231132321323313234132351323613237132381323913240132411324213243132441324513246132471324813249132501325113252132531325413255132561325713258 |
- 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
- pentagrammic prism
- pentagrammic dipyramid
- 2 5/2|2
- (4.4.5/2)
- dihedral group
- D
- 5{4}+2{5/2}
- 2 10 15 7 10 2 0 0 2 2 3 20 2 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.9987422138 0.0000000000 0.0501397095
- -0.9033708188 0.4259192097 0.0501397095
- 0.6354709497 -0.7704950886 0.0501397095
- 0.0953713949 0.4259192097 -0.8997205810
- 0.0182143157 -0.7704950886 0.6371856536
- -0.2678998691 -0.3445758789 -0.8997205810
- 0.6059995679 0.4761921529 0.6371856536
- -0.8851565032 -0.3445758789 -0.3126746369
- -0.2973712509 0.9021113626 -0.3126746369
- 0.2129596049 0.9510565163 0.2239189798
- -0.5982071492 -0.7694208843 0.2239189798
- 0.2129596049 -0.1004057079 0.2239189798
- 0.2536312703 -0.7694208843 -0.5862274998
- -0.2129596049 0.1004057079 -0.2239189798
- 0.7549598948 0.2938926261 -0.5862274998
- -0.6233436208 0.2938926261 0.7246170401
- 4 0 2 4 1
- 4 0 3 6 2
- 5 0 1 5 7 3 2
- 4 1 4 8 5
- 5 2 6 9 8 4 2
- 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
- pentagrammic antiprism
- pentagrammic deltohedron
- |2 2 5/2
- (3.3.3.5/2)
- dihedral group
- D
- 10{3}+2{5/2}
- 3 10 20 12 10 2 0 0 2 2 4 20 2 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.9870590084 0.0000000000 -0.1603574566
- -0.1885114962 0.9688905521 -0.1603574566
- -0.9150540242 -0.3700832595 -0.1603574566
- 0.5380310318 -0.8275313256 -0.1603574566
- -0.0720049843 -0.8275313256 0.5567828907
- -0.3050180081 -0.3700832595 -0.8774978039
- 0.1440099685 0.4574480661 -0.8774978039
- 0.6545375437 0.5114424860 0.5567828907
- -0.8430490399 0.4574480661 0.2828596527
- 0.5593892211 0.6787159473 0.4758448931
- -0.7730568906 0.4194695241 0.4758448931
- -0.2641077641 -0.8389390482 0.4758448931
- 0.5593892211 -0.3035309991 0.4758448931
- 0.4273353390 -0.8389390482 -0.3369952245
- 0.3457215516 0.4194695241 -0.8393580447
- -0.5593892211 0.3035309991 -0.4758448931
- -0.1632275749 -0.5184928463 -0.8393580447
- 0.9362844655 0.0990233222 -0.3369952245
- -0.1824939766 0.0990233222 0.9782077132
- -0.8546706780 -0.5184928463 -0.0265179270
- -0.0311736929 0.9991621492 -0.0265179270
- 3 0 2 1
- 3 0 3 2
- 3 0 4 3
- 5 0 1 5 8 4 2
- 3 1 6 5
- 3 1 2 6
- 5 2 3 7 9 6 2
- 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
- pentagrammic crossed antiprism
- pentagrammic concave deltohedron
- |2 2 5/3
- (3.3.3.5/3)
- dihedral group
- D
- 10{3}+2{5/3}
- 4 10 20 12 10 3 0 0 2 2 4 20 2 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.8944271910 0.0000000000 -0.4472135955
- -0.7236067977 0.5257311121 -0.4472135955
- 0.2763932023 -0.8506508084 -0.4472135955
- 0.2763932023 0.8506508084 -0.4472135955
- -0.2763932023 0.8506508084 0.4472135955
- -0.2763932023 -0.8506508084 0.4472135955
- -0.8944271910 0.0000000000 0.4472135955
- 0.7236067977 -0.5257311121 0.4472135955
- -0.0000000000 0.0000000000 -1.0000000000
- 0.3035309991 0.9341723590 0.1875924741
- -0.7946544723 -0.5773502692 0.1875924741
- 0.9822469464 0.0000000000 0.1875924741
- 0.3035309991 0.2205281794 0.1875924741
- 0.6070619982 -0.0000000000 0.7946544723
- -0.1875924741 -0.5773502692 -0.7946544723
- -0.3035309991 -0.2205281794 -0.1875924741
- -0.6070619982 -0.0000000000 -0.7946544723
- 0.1875924741 0.5773502692 0.7946544723
- 0.7946544723 0.5773502692 -0.1875924741
- -0.9822469464 0.0000000000 -0.1875924741
- -0.3035309991 -0.9341723590 -0.1875924741
- 3 0 2 1
- 3 0 3 2
- 3 0 4 3
- 5 0 1 5 8 4 3
- 3 1 6 5
- 3 1 2 6
- 5 2 3 7 9 6 3
- 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
- octahemioctahedron
- octahemioctacron
- 3/2 3|3
- (6.3/2.6.3)
- tetrahedral group
- A4
- 4{6}+4{3}+4{3/2}
- 7 12 24 12 12 0 1 0 0 3 4 24 3 1 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.8660254038 0.0000000000 0.5000000000
- -0.8660254038 0.0000000000 0.5000000000
- -0.2886751346 0.8164965809 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
- -0.8660254038 -0.0000000000 -0.5000000000
- -0.2886751346 0.8164965809 -0.5000000000
- 0.2886751346 -0.8164965809 -0.5000000000
- -0.0000000000 0.0000000000 -1.0000000000
- 0.0000000000 1.0000000000 0.0000000000
- -0.4714045208 0.3333333333 0.8164965809
- -0.9428090416 -0.3333333333 0.0000000000
- 0.4714045208 -0.3333333333 0.8164965809
- 0.4714045208 -0.3333333333 -0.8164965809
- 0.9428090416 0.3333333333 0.0000000000
- -0.9428090416 -0.3333333333 0.0000000000
- 0.4714045208 -0.3333333333 0.8164965809
- 0.0000000000 1.0000000000 0.0000000000
- -0.0000000000 -1.0000000000 0.0000000000
- 0.4714045208 -0.3333333333 -0.8164965809
- -0.4714045208 0.3333333333 -0.8164965809
- 6 0 1 5 11 8 2
- 3 0 2 3 2
- 6 0 3 9 11 10 4
- 3 0 1 4
- 6 1 4 7 8 9 6
- 3 1 6 5 2
- 3 2 8 7
- 6 2 7 10 5 6 3
- 3 3 6 9
- 3 4 10 7 2
- 3 5 10 11
- 3 8 11 9 2
- 4 3 0 1 2
- 4 3 4 5 0
- 4 6 0 1 7
- 4 8 7 1 2
- 4 9 2 3 4
- 4 5 7 10 0
- 4 8 4 5 7
- 4 6 4 9 7
- 4 11 0 6 4
- 4 11 2 8 4
- 4 10 2 9 7
- 4 10 0 11 2
- tetrahemihexahedron
- tetrahemihexacron
- 3/2 3|2
- (4.3/2.4.3)
- tetrahedral group
- A4
- 3{4}+2{3}+2{3/2}
- 8 6 12 7 6 0 1 1 1 3 4 24 3 1 -1
- 0.0000000000 0.0000000000 1.0000000000
- 1.0000000000 0.0000000000 0.0000000000
- -1.0000000000 0.0000000000 0.0000000000
- -0.0000000000 1.0000000000 0.0000000000
- -0.0000000000 -1.0000000000 0.0000000000
- 0.0000000000 0.0000000000 -1.0000000000
- 0.0000000000 1.0000000000 0.0000000000
- -0.5773502692 0.5773502692 0.5773502692
- -1.0000000000 0.0000000000 0.0000000000
- 0.5773502692 -0.5773502692 0.5773502692
- -0.0000000000 0.0000000000 -1.0000000000
- 0.5773502692 0.5773502692 -0.5773502692
- -0.5773502692 -0.5773502692 -0.5773502692
- 4 0 1 5 2
- 3 0 2 3 2
- 4 0 3 5 4
- 3 0 1 4
- 4 1 4 2 3
- 3 1 3 5 2
- 3 2 5 4
- 4 3 0 1 2
- 4 3 4 5 0
- 4 6 0 1 4
- 4 5 2 1 4
- 4 6 2 3 4
- 4 5 0 6 2
- 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
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- pentagonal icositetrahedron
- |2 3 4
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- S4
- 6{4}+32{3}
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- small hexacronic icositetrahedron
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- (8.3/2.8.4)
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- S4
- 6{8}+6{4}+8{3/2}
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- great hexacronic icositetrahedron
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- (8/3.3.8/3.4)
- octahedral group
- S4
- 6{4}+8{3}+6{8/3}
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- 3 1 5 6
- 4 2 8 16 9
- 8 2 3 6 5 12 15 11 8 3
- 4 3 10 14 6
- 3 4 8 11
- 8 4 7 12 19 23 22 16 8 3
- 4 5 13 19 12
- 3 7 15 12
- 3 9 10 17
- 8 9 16 18 21 19 13 14 10 3
- 4 11 15 21 18
- 3 13 20 14
- 3 16 22 18
- 4 17 22 23 20
- 3 19 21 23
- 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 7 11 0
- 4 4 8 7 5
- 4 10 12 4 3
- 4 6 10 9 7
- 4 0 13 14 6
- 4 8 14 13 2
- 4 2 15 7 9
- 4 7 12 10 11
- 4 11 14 16 0
- 4 4 16 14 8
- 4 15 4 12 7
- 4 14 17 10 6
- 4 0 18 2 13
- 4 2 17 14 15
- 4 10 19 14 11
- 4 4 18 0 16
- 4 19 4 15 14
- 4 18 10 17 2
- 4 10 19 4 18
- cubohemioctahedron
- hexahemioctacron
- 4/3 4|3
- (6.4/3.6.4)
- octahedral group
- S4
- 4{6}+3{4}+3{4/3}
- 19 12 24 10 12 0 1 1 -2 3 4 48 4 1 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.8660254038 0.0000000000 0.5000000000
- -0.8660254038 0.0000000000 0.5000000000
- 0.2886751346 0.8164965809 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
- -0.8660254038 -0.0000000000 -0.5000000000
- 0.2886751346 0.8164965809 -0.5000000000
- -0.2886751346 -0.8164965809 -0.5000000000
- 0.0000000000 -0.0000000000 -1.0000000000
- 0.0000000000 1.0000000000 0.0000000000
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- -0.9428090416 0.3333333333 0.0000000000
- 0.4082482905 -0.5773502692 0.7071067812
- 0.4714045208 0.3333333333 -0.8164965809
- 0.8164965809 0.5773502692 0.0000000000
- -0.8164965809 -0.5773502692 0.0000000000
- 0.4714045208 0.3333333333 0.8164965809
- 0.4082482905 -0.5773502692 -0.7071067812
- -0.4082482905 0.5773502692 -0.7071067812
- 6 0 1 5 11 8 2
- 4 0 2 7 3 3
- 6 0 3 9 11 10 4
- 4 0 1 6 4
- 6 1 6 10 8 7 3
- 4 1 3 9 5 3
- 4 2 8 10 4
- 6 2 4 6 5 9 7
- 4 5 6 10 11
- 4 7 9 11 8
- 4 3 0 1 2
- 4 3 4 5 0
- 4 6 0 1 7
- 4 1 4 5 2
- 4 6 2 3 7
- 4 5 7 8 0
- 4 8 4 3 7
- 4 9 7 1 4
- 4 9 0 6 4
- 4 9 2 5 7
- 4 8 2 6 4
- 4 8 0 9 2
- cubitruncated cuboctahedron
- tetradyakishexahedron
- 4/3 3 4|
- (8/3.6.8)
- octahedral group
- S4
- 6{8}+8{6}+6{8/3}
- 20 48 72 20 48 4 0 0 -4 3 3 48 4 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.6998542122 0.0000000000 0.7142857143
- 0.4607079005 0.5268245902 0.7142857143
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- 0.9956048929 -0.0903888097 0.0245104108
- 0.2274231631 0.9632603706 0.1428571429
- 0.5090227516 -0.2182178902 0.8326324464
- -0.9755922264 -0.2182178902 0.0245104108
- -0.9272773753 0.3460469708 0.1428571429
- -0.0624659433 0.9632603706 0.2612038750
- 0.2191336452 -0.2182178902 0.9509791785
- 0.7140053045 -0.2182178902 -0.6652648928
- 0.7623201555 0.3460469708 -0.5469181607
- -0.0541764254 0.8354312901 -0.5469181607
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- 0.3440655318 -0.8354312901 0.4285714286
- -0.8106350066 0.3989955096 0.4285714286
- -0.6798415456 -0.3086066999 -0.6652648928
- -0.8789625242 -0.3989955096 0.2612038750
- -0.3440655318 0.8354312901 -0.4285714286
- 0.2332847374 0.8728715609 -0.4285714286
- 0.6798415456 0.3086066999 0.6652648928
- 0.0541764254 -0.8354312901 0.5469181607
- 0.8789625242 0.3989955096 -0.2612038750
- 0.0200126666 -0.3086066999 -0.9509791785
- 0.8106350066 -0.3989955096 -0.4285714286
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- -0.7623201555 -0.3460469708 0.5469181607
- 0.3499271061 0.9258200998 -0.1428571429
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- 0.3499271061 -0.9258200998 -0.1428571429
- 0.9272773753 -0.3460469708 -0.1428571429
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- 0.6939926379 0.0903888097 -0.7142857143
- 0.4665694748 -0.8728715609 0.1428571429
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- 0.1704387741 0.1594308745 0.0521860036
- 0.9258200998 -0.0000000000 -0.3779644730
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- -0.9258200998 -0.0000000000 0.3779644730
- 0.1588456165 0.0000000000 -0.0648484514
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- 0.1880882870 -0.1127346525 0.0954183045
- 0.0675698741 0.1127346525 -0.1997903117
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- 0.3725212402 0.1691019787 0.9124869568
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- 0.0852193870 -0.1594308745 -0.1565580108
- 8 0 2 7 16 23 11 4 1 3
- 6 0 3 9 15 6 2
- 8 0 1 5 12 26 19 8 3
- 6 1 4 10 22 13 5
- 8 2 6 14 29 40 31 17 7
- 8 3 8 18 33 41 30 20 9 3
- 8 4 11 24 37 43 35 21 10
- 8 5 13 27 36 44 39 25 12 3
- 8 6 15 22 10 21 34 28 14 3
- 6 7 17 32 20 30 16
- 6 8 19 29 14 28 18
- 8 9 20 32 38 27 13 22 15
- 6 11 23 36 27 38 24
- 6 12 25 34 21 35 26
- 8 16 30 41 46 47 44 36 23
- 8 17 31 42 45 37 24 38 32 3
- 8 18 28 34 25 39 45 42 33
- 8 19 26 35 43 47 46 40 29 3
- 6 31 40 46 41 33 42
- 6 37 45 39 44 47 43
- 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 10 2
- 3 1 11 5
- 3 3 8 6
- 3 6 12 0
- 3 2 13 7
- 3 7 11 3
- 3 4 10 8
- 3 8 11 1
- 3 0 14 9
- 3 9 15 4
- 3 5 16 10
- 3 10 17 2
- 3 11 9 5
- 3 8 13 6
- 3 3 8 11
- 3 12 14 0
- 3 6 15 12
- 3 13 16 7
- 3 17 13 2
- 3 7 12 11
- 3 16 8 10
- 3 4 17 10
- 3 14 5 9
- 3 15 18 4
- 3 11 15 9
- 3 5 18 16
- 3 8 13 16
- 3 17 6 13
- 3 7 14 12
- 3 6 19 15
- 3 15 12 11
- 3 16 19 7
- 3 18 17 4
- 3 14 18 5
- 3 15 16 18
- 3 17 19 6
- 3 19 14 7
- 3 19 15 16
- 3 14 17 18
- 3 17 19 14
- great rhombicuboctahedron
- great deltoidal icositetrahedron
- 3/2 4|2
- (4.3/2.4.4)
- octahedral group
- S4
- 18{4}+8{3/2}
- 21 24 48 26 24 5 0 0 2 2 4 48 4 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.9968739365 0.0000000000 0.0790085736
- -0.8508851285 0.5193766874 0.0790085736
- 0.4556778364 0.8866314650 0.0790085736
- -0.8508851285 -0.5193766874 0.0790085736
- 0.1459888080 0.5193766874 -0.8419828529
- 0.0427591319 0.8866314650 0.4604957132
- 0.1459888080 -0.5193766874 -0.8419828529
- -0.4984369683 -0.7345095553 0.4604957132
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- 0.8081259966 -0.3672547776 0.4604957132
- -0.4984369683 0.7345095553 0.4604957132
- 0.4984369683 -0.7345095553 -0.4604957132
- -0.8081259966 0.3672547776 -0.4604957132
- 0.3952072921 -0.3672547776 0.8419828529
- 0.4984369683 0.7345095553 -0.4604957132
- -0.1459888080 0.5193766874 0.8419828529
- -0.0427591319 -0.8866314650 -0.4604957132
- -0.1459888080 -0.5193766874 0.8419828529
- 0.8508851285 0.5193766874 -0.0790085736
- -0.4556778364 -0.8866314650 -0.0790085736
- 0.8508851285 -0.5193766874 -0.0790085736
- -0.9968739365 0.0000000000 -0.0790085736
- 0.0000000000 0.0000000000 -1.0000000000
- 0.2596883437 0.9238795325 0.2810846377
- -0.0959283710 0.3412793093 0.2810846377
- -0.7030040762 0.6532814824 0.2810846377
- 0.2596883437 -0.9238795325 0.2810846377
- 0.3357492986 0.6532814824 -0.6785983445
- 0.2877851131 0.3412793093 -0.0734203966
- -0.6269431213 -0.3826834324 -0.6785983445
- -0.0760609549 0.2705980501 0.9596829823
- 0.7345095553 0.0000000000 -0.6785983445
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- 0.9626924199 0.2705980501 0.0000000000
- -0.7345095553 0.0000000000 0.6785983445
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- 0.6269431213 -0.3826834324 0.6785983445
- 0.0397348323 -0.1413625185 0.4279254308
- -0.9626924199 -0.2705980501 0.0000000000
- -0.3357492986 -0.6532814824 0.6785983445
- 0.6269431213 0.3826834324 0.6785983445
- 0.4234483164 -0.1413625185 0.0734203966
- 0.0760609549 -0.2705980501 -0.9596829823
- 0.7030040762 -0.6532814824 -0.2810846377
- -0.2596883437 0.9238795325 -0.2810846377
- -0.2877851131 -0.3412793093 0.0734203966
- -0.2596883437 -0.9238795325 -0.2810846377
- 0.0959283710 -0.3412793093 -0.2810846377
- 4 0 2 5 1
- 3 0 3 2 2
- 4 0 4 9 3
- 4 0 1 7 4
- 4 1 6 13 7
- 3 1 5 6 2
- 4 2 8 12 5
- 4 2 3 10 8
- 4 3 9 17 10
- 3 4 11 9 2
- 4 4 7 15 11
- 4 5 12 14 6
- 4 6 14 20 13
- 3 7 13 15 2
- 4 8 16 19 12
- 3 8 10 16 2
- 4 9 11 18 17
- 4 10 17 22 16
- 4 11 15 21 18
- 3 12 19 14 2
- 4 13 20 21 15
- 4 14 19 23 20
- 4 16 22 23 19
- 3 17 18 22 2
- 4 18 21 23 22
- 3 20 23 21 2
- 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
- small rhombihexahedron
- small rhombihexacron
- 3/2 2 4|
- (8.4.8/7.4/3)
- octahedral group
- S4
- 3{8}+6{4}+6{4/3}+3{8/7}
- 22 24 48 18 24 0 0 1 -6 4 4 48 4 0 2
- 0.0000000000 0.0000000000 1.0000000000
- 0.6675992222 0.0000000000 0.7445208382
- -0.6389637427 -0.1934271362 0.7445208382
- 0.2849157898 -0.6037480552 0.7445208382
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- 0.9727633538 -0.1934271362 0.1277395809
- 0.5698315797 0.6604015517 0.4890416764
- -0.3540479528 -0.7971751914 0.4890416764
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- 0.5900799214 -0.7971751914 0.1277395809
- 0.0488838213 0.9906023276 0.1277395809
- 0.8749957112 0.4669744155 -0.1277395809
- 0.7367313852 -0.4669744155 -0.4890416764
- -0.0488838213 -0.9906023276 -0.1277395809
- -0.9727633538 0.1934271362 -0.1277395809
- -0.5900799214 0.7971751914 -0.1277395809
- -0.5698315797 -0.6604015517 -0.4890416764
- 0.3540479528 0.7971751914 -0.4890416764
- 0.6389637427 0.1934271362 -0.7445208382
- 0.0977676425 -0.6604015517 -0.7445208382
- -0.6675992222 -0.0000000000 -0.7445208382
- -0.2849157898 0.6037480552 -0.7445208382
- -0.0000000000 -0.0000000000 -1.0000000000
- 0.1367736397 -0.9238795325 0.3574067443
- -0.0849802448 -0.1913417162 0.3574067443
- 0.8938887595 0.2705980501 0.3574067443
- 0.1367736397 0.1585126678 0.3574067443
- -0.4269143440 0.2705980501 0.8628562095
- 0.3018740276 -0.1913417162 0.2093640235
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- -0.8938887595 -0.2705980501 -0.3574067443
- -0.1651003879 0.3498543840 0.1480427208
- -0.1367736397 0.9238795325 -0.3574067443
- 0.4269143440 -0.2705980501 -0.8628562095
- 0.3868542724 -0.0000000000 -0.1480427208
- 0.2217538845 0.3498543840 -0.0000000000
- -0.2217538845 -0.3498543840 -0.0000000000
- 0.1651003879 -0.3498543840 -0.1480427208
- -0.3018740276 0.1913417162 -0.2093640235
- -0.1367736397 -0.1585126678 -0.3574067443
- 0.0849802448 0.1913417162 -0.3574067443
- 8 0 2 9 17 20 13 5 1
- 4 0 3 7 2
- 8 0 4 11 18 19 13 10 3 7
- 4 0 1 6 4 3
- 8 1 3 7 9 15 16 11 6 7
- 4 1 5 10 3
- 4 2 8 15 9 3
- 8 2 7 14 20 23 22 16 8 7
- 4 4 8 16 11
- 8 4 6 12 19 23 21 15 8
- 8 5 12 18 22 21 17 14 10 7
- 4 5 13 19 12 3
- 4 6 11 18 12
- 4 7 9 17 14 3
- 4 10 13 20 14
- 4 15 21 22 16
- 4 17 21 23 20 3
- 4 18 22 23 19
- 4 3 0 1 2
- 4 3 4 5 0
- 4 0 6 7 1
- 4 1 4 5 2
- 4 2 8 9 3
- 4 5 10 11 0
- 4 9 12 4 3
- 4 7 13 4 1
- 4 6 9 8 7
- 4 0 13 4 6
- 4 10 14 2 5
- 4 2 12 4 8
- 4 10 12 9 11
- 4 11 2 14 0
- 4 7 14 10 13
- 4 4 15 9 6
- 4 15 7 8 4
- 4 0 16 10 13
- 4 2 17 10 12
- 4 9 17 2 11
- 4 7 16 0 14
- 4 15 10 16 9
- 4 17 7 15 10
- 4 9 17 7 16
- stellated truncated hexahedron
- great triakisoctahedron
- 2 3|4/3
- (8/3.8/3.3)
- octahedral group
- S4
- 8{3}+6{8/3}
- 23 24 36 14 24 7 0 0 2 2 3 48 4 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.8722604191 0.0000000000 -0.4890416764
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- 0.9251718860 -0.3574067443 0.1277395809
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- 0.5638697904 -0.3574067443 0.7445208382
- 0.2709765716 0.6101314769 0.7445208382
- -0.4361302096 0.5054494651 0.7445208382
- -0.4361302096 -0.5054494651 0.7445208382
- 0.4361302096 -0.5054494651 -0.7445208382
- 0.7819348952 0.6101314769 -0.1277395809
- 0.4361302096 0.5054494651 -0.7445208382
- -0.5638697904 0.3574067443 -0.7445208382
- 0.4890416764 -0.8628562095 -0.1277395809
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- 0.1277395809 -0.8628562095 0.4890416764
- -0.8722604191 -0.0000000000 0.4890416764
- 0.8348463621 0.2527247326 0.4890416764
- 0.0000000000 -0.0000000000 -1.0000000000
- 0.1459106924 0.1691019787 0.0854725047
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- 0.1459106924 -0.9855985597 0.0854725047
- -0.0177019353 0.1195731559 -0.2063488801
- 0.0604381877 -0.4082482905 -0.9108680249
- -0.7649573325 -0.4082482905 0.4981702648
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- 0.8504298372 -0.1691019787 0.4981702648
- 0.1886469447 -0.1195731559 -0.0854725047
- 0.7649573325 0.4082482905 -0.4981702648
- -0.8504298372 0.1691019787 -0.4981702648
- -0.1459106924 -0.1691019787 -0.0854725047
- -0.0604381877 0.4082482905 0.9108680249
- -0.1459106924 0.9855985597 -0.0854725047
- 8 0 2 6 11 15 9 4 1 3
- 8 0 3 7 12 16 10 5 2 3
- 3 0 1 3
- 8 1 4 8 14 19 13 7 3 3
- 3 2 5 6
- 3 4 9 8
- 8 5 10 17 21 22 18 11 6 3
- 3 7 13 12
- 8 8 9 15 18 22 23 20 14 3
- 3 10 16 17
- 3 11 18 15
- 8 12 13 19 20 23 21 17 16 3
- 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
- great truncated cuboctahedron
- great disdyakisdodecahedron
- 4/3 2 3|
- (8/3.4.6)
- octahedral group
- S4
- 8{6}+12{4}+6{8/3}
- 24 48 72 26 48 1 0 0 2 3 3 48 4 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.8305094692 0.0000000000 0.5570045077
- 0.5180497550 0.6491305182 0.5570045077
- -0.7696968212 0.3119499667 0.5570045077
- 0.1740414692 0.6491305182 0.7404992487
- 0.8913221171 0.3119499667 -0.3289864768
- -0.2516470662 0.9610804849 0.1140090155
- 0.6159262346 -0.2688786644 0.7404992487
- -0.7088841733 0.6238999334 -0.3289864768
- 0.2348541172 0.9610804849 -0.1454917358
- 0.2719179488 -0.2688786644 0.9239939897
- 0.1216252958 0.6238999334 -0.7719819690
- -0.9234674078 0.3550212690 -0.1454917358
- -0.0405417653 0.3802518538 0.9239939897
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- -0.2768364897 0.8318665779 0.4809984974
- 0.3935432447 0.3550212690 -0.8479879793
- 0.7899677039 0.3802518538 0.4809984974
- 0.4306070763 -0.8749378802 0.2214977461
- 0.5536729794 0.8318665779 0.0380030052
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- icosahedron
- dodecahedron
- 5|2 3
- (3.3.3.3.3)
- icosahedral group
- A5
- 20{3}
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- dodecahedron
- icosahedron
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- A5
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- icosidodecahedron
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- A5
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- 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
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- -0.0897623191 0.5901345989 -0.3906906553
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- 0.2904769664 0.3062371489 -0.5751497609
- -0.3933354313 -0.1531185745 -0.5751497609
- -0.1583346290 0.2357022604 -0.6891517578
- 0.1028584649 -0.1531185745 -0.6891517578
- 10 0 2 9 18 30 32 25 14 5 1
- 3 0 3 2 2
- 10 0 4 12 23 28 31 29 18 10 3
- 5 0 1 7 11 4
- 10 1 6 15 25 37 38 36 27 16 7
- 3 1 5 6 2
- 5 2 8 17 19 9
- 10 2 3 6 5 13 16 21 22 12 8
- 5 3 10 20 15 6
- 3 4 8 12 2
- 10 4 11 21 33 45 46 40 28 17 8
- 5 5 14 26 24 13
- 10 7 13 24 36 47 50 45 34 22 11
- 3 7 16 13 2
- 3 9 10 18 2
- 10 9 19 31 43 52 53 44 32 20 10
- 3 11 22 21 2
- 5 12 22 34 35 23
- 10 14 15 20 30 42 53 56 49 38 26
- 3 14 25 15 2
- 5 16 27 39 33 21
- 10 17 23 35 46 54 58 52 41 29 19
- 3 17 28 23 2
- 5 18 29 41 42 30
- 3 19 29 31 2
- 3 20 32 30 2
- 3 24 27 36 2
- 10 24 26 37 48 56 59 57 50 39 27
- 5 25 32 44 48 37
- 3 26 38 37 2
- 5 28 40 51 43 31
- 3 33 34 45 2
- 10 33 39 47 55 59 58 51 40 35 34
- 3 35 40 46 2
- 5 36 38 49 55 47
- 3 39 50 47 2
- 10 41 43 51 54 57 55 49 48 44 42
- 3 41 52 43 2
- 3 42 44 53 2
- 5 45 50 57 54 46
- 3 48 49 56 2
- 3 51 58 54 2
- 5 52 58 59 56 53
- 3 55 57 59 2
- 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 7 11 0
- 4 4 8 7 5
- 4 3 12 13 4
- 4 6 10 9 7
- 4 0 14 15 6
- 4 8 15 14 2
- 4 10 16 12 3
- 4 2 17 7 9
- 4 7 13 12 11
- 4 11 18 19 0
- 4 4 19 18 8
- 4 7 20 4 13
- 4 6 21 22 10
- 4 0 23 2 14
- 4 15 24 21 6
- 4 18 25 15 8
- 4 10 20 7 16
- 4 17 12 16 7
- 4 2 22 21 17
- 4 12 26 27 11
- 4 4 28 0 19
- 4 27 29 18 11
- 4 20 27 26 4
- 4 2 30 10 22
- 4 23 21 24 2
- 4 0 25 18 23
- 4 15 30 2 24
- 4 28 15 25 0
- 4 10 31 32 20
- 4 17 32 31 12
- 4 21 33 32 17
- 4 12 34 4 26
- 4 4 29 27 28
- 4 34 18 29 4
- 4 32 35 27 20
- 4 30 32 33 10
- 4 23 36 37 21
- 4 18 38 36 23
- 4 15 37 36 30
- 4 28 36 38 15
- 4 10 39 12 31
- 4 21 39 10 33
- 4 12 35 32 34
- 4 27 40 36 28
- 4 34 36 40 18
- 4 39 27 35 12
- 4 36 41 32 30
- 4 15 42 21 37
- 4 18 42 15 38
- 4 21 41 36 39
- 4 32 43 36 34
- 4 27 42 18 40
- 4 43 27 39 36
- 4 42 32 41 21
- 4 32 43 27 42
- small stellated dodecahedron
- great dodecahedron
- 5|2 5/2
- (5/2.5/2.5/2.5/2.5/2)
- icosahedral group
- A5
- 12{5/2}
- 38 12 30 12 12 3 0 0 -6 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
- -0.2763932023 0.8506508084 0.4472135955
- -0.2763932023 -0.8506508084 0.4472135955
- -0.8944271910 -0.0000000000 0.4472135955
- 0.7236067977 -0.5257311121 0.4472135955
- 0.7236067977 0.5257311121 0.4472135955
- 0.0000000000 -0.0000000000 -1.0000000000
- 0.7236067977 0.5257311121 0.4472135955
- -0.2763932023 0.8506508084 0.4472135955
- -0.8944271910 -0.0000000000 0.4472135955
- -0.2763932023 -0.8506508084 0.4472135955
- 0.7236067977 -0.5257311121 0.4472135955
- 0.2763932023 -0.8506508084 -0.4472135955
- -0.0000000000 0.0000000000 -1.0000000000
- 0.2763932023 0.8506508084 -0.4472135955
- 0.8944271910 0.0000000000 -0.4472135955
- -0.7236067977 0.5257311121 -0.4472135955
- -0.7236067977 -0.5257311121 -0.4472135955
- 0.0000000000 -0.0000000000 1.0000000000
- 5 0 2 9 6 1 2
- 5 0 3 10 8 2 2
- 5 0 4 6 7 3 2
- 5 0 5 8 9 4 2
- 5 0 1 7 10 5 2
- 5 1 4 9 11 7 2
- 5 1 3 5 2 4 2
- 5 1 6 11 10 3 2
- 5 2 5 10 11 9 2
- 5 2 8 11 6 4 2
- 5 3 7 11 8 5 2
- 5 6 9 8 10 7 2
- 5 4 0 1 2 3
- 5 4 5 6 7 0
- 5 0 8 6 9 1
- 5 1 7 6 10 2
- 5 2 9 6 5 3
- 5 3 10 6 8 4
- 5 7 9 2 11 0
- 5 4 11 2 10 5
- 5 9 10 3 11 1
- 5 5 8 0 11 3
- 5 8 7 1 11 4
- 5 7 9 10 5 8
- great dodecahedron
- small stellated dodecahedron
- 5/2|2 5
- (5.5.5.5.5)/2
- icosahedral group
- A5
- 12{5}
- 39 12 30 12 12 3 0 0 -6 1 5 120 5 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.8944271910 0.0000000000 0.4472135955
- -0.7236067977 0.5257311121 0.4472135955
- 0.2763932023 -0.8506508084 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
- -0.8944271910 -0.0000000000 -0.4472135955
- -0.2763932023 0.8506508084 -0.4472135955
- -0.2763932023 -0.8506508084 -0.4472135955
- -0.0000000000 -0.0000000000 -1.0000000000
- 0.2763932023 0.8506508084 0.4472135955
- -0.7236067977 -0.5257311121 0.4472135955
- 0.8944271910 0.0000000000 0.4472135955
- -0.7236067977 0.5257311121 0.4472135955
- 0.2763932023 -0.8506508084 0.4472135955
- 0.7236067977 0.5257311121 -0.4472135955
- 0.0000000000 0.0000000000 1.0000000000
- 0.7236067977 -0.5257311121 -0.4472135955
- -0.8944271910 -0.0000000000 -0.4472135955
- -0.2763932023 0.8506508084 -0.4472135955
- -0.2763932023 -0.8506508084 -0.4472135955
- -0.0000000000 -0.0000000000 -1.0000000000
- 5 0 2 9 6 1
- 5 0 3 10 8 2
- 5 0 4 6 7 3
- 5 0 5 8 9 4
- 5 0 1 7 10 5
- 5 1 4 9 11 7
- 5 1 3 5 2 4
- 5 1 6 11 10 3
- 5 2 5 10 11 9
- 5 2 8 11 6 4
- 5 3 7 11 8 5
- 5 6 9 8 10 7
- 5 4 0 1 2 3
- 5 4 5 6 7 0
- 5 0 8 6 9 1
- 5 1 7 6 10 2
- 5 2 9 6 5 3
- 5 3 10 6 8 4
- 5 7 9 2 11 0
- 5 4 11 2 10 5
- 5 9 10 3 11 1
- 5 5 8 0 11 3
- 5 8 7 1 11 4
- 5 7 9 10 5 8
- great dodecadodecahedron
- medial rhombic triacontahedron
- 2|5/2 5
- (5/2.5.5/2.5)
- icosahedral group
- A5
- 12{5}+12{5/2}
- 40 30 60 24 30 3 0 0 -6 2 4 120 5 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.8660254038 0.0000000000 0.5000000000
- 0.6454972244 0.5773502692 0.5000000000
- -0.8660254038 -0.0000000000 0.5000000000
- -0.6454972244 -0.5773502692 0.5000000000
- 0.1102640897 0.5773502692 0.8090169944
- 0.8660254038 -0.0000000000 -0.5000000000
- 0.7557613141 -0.5773502692 -0.3090169944
- 0.1784110449 0.9341723590 -0.3090169944
- 0.6454972244 0.5773502692 -0.5000000000
- 0.4670861795 -0.3568220898 0.8090169944
- -0.1102640897 -0.5773502692 0.8090169944
- -0.8660254038 0.0000000000 -0.5000000000
- -0.7557613141 0.5773502692 -0.3090169944
- -0.1784110449 -0.9341723590 -0.3090169944
- -0.6454972244 -0.5773502692 -0.5000000000
- -0.4670861795 0.3568220898 0.8090169944
- -0.3568220898 0.9341723590 -0.0000000000
- -0.7557613141 0.5773502692 0.3090169944
- 0.7557613141 -0.5773502692 0.3090169944
- -0.0000000000 0.0000000000 -1.0000000000
- 0.1102640897 0.5773502692 -0.8090169944
- -0.1102640897 -0.5773502692 -0.8090169944
- 0.9341723590 0.3568220898 0.0000000000
- -0.4670861795 0.3568220898 -0.8090169944
- 0.4670861795 -0.3568220898 -0.8090169944
- 0.1784110449 0.9341723590 0.3090169944
- -0.1784110449 -0.9341723590 0.3090169944
- 0.3568220898 -0.9341723590 -0.0000000000
- -0.9341723590 -0.3568220898 0.0000000000
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- -0.3035309991 0.7946544723 0.5257311121
- -0.3035309991 -0.1159385250 0.5257311121
- 0.3035309991 -0.7946544723 0.5257311121
- 0.6070619982 -0.1159385250 -0.0000000000
- 0.6070619982 0.7946544723 -0.0000000000
- 0.9822469464 -0.1875924741 -0.0000000000
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- -0.3751849482 -0.4911234732 -0.0000000000
- -0.1875924741 0.4911234732 0.3249196962
- -0.4911234732 -0.1875924741 0.8506508084
- 0.3035309991 -0.7946544723 -0.5257311121
- 0.3035309991 0.1159385250 -0.5257311121
- 0.1875924741 -0.4911234732 -0.3249196962
- 0.4911234732 0.1875924741 -0.8506508084
- -0.1875924741 0.4911234732 -0.3249196962
- -0.3035309991 0.7946544723 -0.5257311121
- 0.1875924741 -0.4911234732 0.3249196962
- 0.4911234732 0.1875924741 0.8506508084
- -0.3035309991 -0.1159385250 -0.5257311121
- -0.4911234732 -0.1875924741 -0.8506508084
- 5 0 2 10 5 1 2
- 5 0 3 13 8 2
- 5 0 4 16 11 3 2
- 5 0 1 7 14 4
- 5 1 6 19 23 7 2
- 5 1 5 17 21 6
- 5 2 9 25 28 10
- 5 2 8 23 26 9 2
- 5 3 12 18 29 13 2
- 5 3 11 28 22 12
- 5 4 15 24 17 16
- 5 4 14 29 27 15 2
- 5 5 18 26 16 17 2
- 5 5 10 27 29 18
- 5 6 20 15 27 19
- 5 6 21 25 9 20 2
- 5 7 22 28 25 14 2
- 5 7 23 8 24 22
- 5 8 13 21 17 24 2
- 5 9 26 18 12 20
- 5 10 28 11 19 27 2
- 5 11 16 26 23 19
- 5 12 22 24 15 20 2
- 5 13 29 14 25 21
- 4 3 0 1 2
- 4 3 4 5 0
- 4 0 6 7 1
- 4 1 8 9 2
- 4 2 10 11 3
- 4 5 12 13 0
- 4 4 14 15 5
- 4 3 16 17 4
- 4 7 17 18 1
- 4 6 15 19 7
- 4 13 20 6 0
- 4 9 20 21 2
- 4 8 19 22 9
- 4 18 23 8 1
- 4 11 23 16 3
- 4 10 22 14 11
- 4 21 12 10 2
- 4 5 18 10 12
- 4 12 19 8 13
- 4 4 21 20 14
- 4 14 15 19 22
- 4 15 23 18 5
- 4 16 9 22 17
- 4 7 21 4 17
- 4 17 18 10 22
- 4 6 16 23 15
- 4 19 7 21 12
- 4 13 11 14 20
- 4 20 6 16 9
- 4 23 8 13 11
- truncated great dodecahedron
- small stellapentakisdodecahedron
- 2 5/2|5
- (10.10.5/2)
- icosahedral group
- A5
- 12{10}+12{5/2}
- 41 60 90 24 60 3 0 0 -6 2 3 120 5 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.5135543437 0.0000000000 0.8580570704
- -0.4864456563 0.1646471601 0.8580570704
- 0.4079815347 -0.3119120569 0.8580570704
- 0.8580570704 0.1646471601 0.4864456563
- 0.0905874952 -0.3119120569 0.9457826254
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- -0.7599769183 0.4310518612 0.4864456563
- 0.2614078885 0.1927722527 0.9457826254
- 0.5816638682 -0.6519492065 0.4864456563
- 0.9925073431 0.1191398043 -0.0271086873
- 0.9019198479 0.4310518612 0.0271086873
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- -0.5256777172 0.4591769538 0.7161141409
- -0.9925073431 -0.1191398043 0.0271086873
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- -0.6964981104 -0.0455073558 0.7161141409
- 0.1979290806 0.6693314697 0.7161141409
- 0.4547062524 -0.8902288150 0.0271086873
- 0.7161141409 -0.6974565623 -0.0271086873
- 0.8188250096 0.4591769538 0.3445027268
- 0.8655497273 -0.1191398043 -0.4864456563
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- 0.9653986558 -0.0455073558 0.2567771718
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- -0.6283885859 -0.6974565623 0.3445027268
- -0.1027108687 0.7710890108 0.6283885859
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- -0.8580570704 -0.1646471601 -0.4864456563
- -0.5816638682 0.6519492065 -0.4864456563
- -0.3716114141 0.8621037224 -0.3445027268
- -0.5499244642 -0.5501916655 0.6283885859
- -0.0756021814 0.9357361708 0.3445027268
- 0.2417918580 0.9357361708 0.2567771718
- 0.7945782625 -0.5501916655 0.2567771718
- 0.0756021814 -0.9357361708 -0.3445027268
- 0.7599769183 -0.4310518612 -0.4864456563
- 0.3716114141 -0.8621037224 0.3445027268
- 0.4108434749 0.7710890108 0.4864456563
- 0.5256777172 -0.4591769538 -0.7161141409
- 0.4864456563 -0.1646471601 -0.8580570704
- 0.2492845149 0.6519492065 -0.7161141409
- 0.1419429296 0.8621037224 -0.4864456563
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- -0.9019198479 -0.4310518612 -0.0271086873
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- 0.3762421307 0.8902288150 -0.2567771718
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- 0.6964981104 0.0455073558 -0.7161141409
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- 0.0000000000 -0.0000000000 -1.0000000000
- -0.0905874952 0.3119120569 -0.9457826254
- 0.5499244642 0.5501916655 -0.6283885859
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- -0.4053854832 -0.7608452130 0.5067318540
- 0.1400572398 -0.0474051448 0.5067318540
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- -0.3209826314 0.4016228318 -0.1196231639
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- -0.1400572398 -0.8506508084 -0.5067318540
- 0.3666746142 -0.1241082803 -0.3588694917
- 0.2139884209 0.4016228318 -0.2674855262
- -0.2653282434 0.0898055953 -0.9599666027
- -0.0739311811 -0.4490279766 -0.2674855262
- -0.1400572398 0.0474051448 -0.5067318540
- 10 0 2 7 15 30 42 22 11 4 1
- 10 0 3 9 18 35 47 27 14 6 2
- 5 0 1 5 8 3 2
- 10 1 4 10 21 39 55 43 24 12 5
- 5 2 6 13 16 7 2
- 10 3 8 17 33 52 58 54 36 19 9
- 5 4 11 23 20 10 2
- 10 5 12 25 44 46 51 49 32 17 8
- 10 6 14 28 48 57 41 52 33 26 13
- 10 7 16 31 24 43 53 59 50 29 15
- 5 9 19 37 34 18 2
- 10 10 20 38 32 49 29 50 56 40 21
- 10 11 22 41 57 59 53 35 18 34 23
- 5 12 24 31 45 25 2
- 10 13 26 38 20 23 34 37 45 31 16
- 5 14 27 46 44 28 2
- 5 15 29 49 51 30 2
- 5 17 32 38 26 33 2
- 10 19 36 40 56 48 28 44 25 45 37
- 5 21 40 36 54 39 2
- 5 22 42 58 52 41 2
- 10 27 47 55 39 54 58 42 30 51 46
- 5 35 53 43 55 47 2
- 5 48 56 50 59 57 2
- 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 12 0
- 3 7 13 3
- 3 4 14 8
- 3 8 15 1
- 3 0 16 9
- 3 9 14 4
- 3 5 17 7
- 3 1 12 10
- 3 10 18 5
- 3 11 14 6
- 3 3 19 11
- 3 12 20 0
- 3 14 12 6
- 3 13 9 3
- 3 7 18 13
- 3 14 17 8
- 3 15 21 1
- 3 8 18 15
- 3 16 11 9
- 3 0 21 16
- 3 13 14 9
- 3 17 11 7
- 3 5 8 17
- 3 14 10 12
- 3 1 22 12
- 3 18 19 5
- 3 14 18 10
- 3 11 14 17
- 3 3 21 19
- 3 18 11 19
- 3 12 8 20
- 3 20 21 0
- 3 9 22 3
- 3 7 15 18
- 3 18 13 14
- 3 7 21 15
- 3 21 22 1
- 3 8 23 18
- 3 16 7 11
- 3 11 23 9
- 3 21 16 7
- 3 5 20 8
- 3 9 12 22
- 3 21 5 19
- 3 3 21 22
- 3 18 11 23
- 3 12 23 8
- 3 20 21 5
- 3 23 9 12
- rhombidodecadodecahedron
- medial deltoidal hexecontahedron
- 5/2 5|2
- (4.5/2.4.5)
- icosahedral group
- A5
- 12{5}+30{4}+12{5/2}
- 42 60 120 54 60 3 0 0 -6 3 4 120 5 0 -1
- 0.0000000000 0.0000000000 1.0000000000
- 0.6998542122 0.0000000000 0.7142857143
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- 0.5832118435 0.6900655593 0.4285714286
- 0.8748177653 0.4629100499 0.1428571429
- 0.7634342145 -0.5947008445 0.2519902889
- -0.4528017108 0.0364260797 0.8908668539
- -0.6022384255 0.7854302742 0.1428571429
- -0.8938443472 -0.1317907946 0.4285714286
- -0.3499271061 0.9258200998 0.1428571429
- 0.2077578990 0.4039714148 0.8908668539
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- 0.9469067137 0.0364260797 0.3194382825
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- 3 14 15 36
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- 3 16 40 39
- 3 17 31 41
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- 3 20 45 28
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- 3 25 26 53
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- 3 27 57 56
- 3 28 29 58
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- 3 30 49 50
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- 3 36 57 45
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- 5 19 20 21 6 5
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- ditrigonal dodecadodecahedron
- medial triambic icosahedron
- 3|5/3 5
- (5/3.5.5/3.5.5/3.5)
- icosahedral group
- A5
- 12{5}+12{5/3}
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- 5 14 15 18 16 19 3
- 6 5 0 1 2 3 4
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- 6 5 21 14 20 1 6
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- 6 22 2 10 0 19 8
- 6 15 22 23 12 17 10
- 6 23 3 13 1 20 12
- 6 7 23 18 15 9 13
- 6 2 16 4 18 15 22
- 6 3 17 5 21 7 23
- 6 19 20 22 23 18 21
- great ditrigonal dodecicosidodecahedron
- great ditrigonal dodecacronic hexecontahedron
- 3 5|5/3
- (10/3.3.10/3.5)
- icosahedral group
- A5
- 12{5}+12{10/3}+20{3}
- 46 60 120 44 60 4 0 0 -16 3 4 120 5 0 -1
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- 10 0 2 9 24 42 51 36 16 5 1 3
- 3 0 3 2
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- 5 0 1 7 12 4
- 10 1 6 17 39 48 45 25 9 20 7 3
- 3 1 5 6
- 5 2 8 21 20 9
- 10 2 3 11 29 47 58 55 42 23 8 3
- 5 3 10 26 30 11
- 3 4 13 14
- 10 4 12 26 10 27 46 43 44 32 13 3
- 10 5 15 35 51 55 57 48 29 18 6 3
- 5 5 16 14 33 15
- 5 6 18 40 31 17
- 10 7 19 32 49 52 54 38 17 31 12 3
- 3 7 20 19
- 10 8 22 34 15 33 40 18 11 30 21 3
- 3 8 23 22
- 3 9 25 24
- 3 10 28 27
- 3 11 18 29
- 3 12 31 26
- 10 13 22 23 43 56 58 53 50 33 14 3
- 5 13 32 19 34 22
- 3 15 34 35
- 3 16 36 37
- 3 17 38 39
- 10 19 20 21 41 45 57 59 52 35 34 3
- 3 21 30 41
- 5 23 42 24 44 43
- 10 24 25 27 28 39 38 37 36 49 44 3
- 5 25 45 41 46 27
- 10 26 31 40 50 54 59 56 46 41 30 3
- 5 28 47 29 48 39
- 3 32 44 49
- 3 33 50 40
- 5 35 52 49 36 51
- 5 37 38 54 50 53
- 3 42 55 51
- 3 43 46 56
- 3 45 48 57
- 3 47 53 58
- 3 52 59 54
- 5 55 58 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 12 0
- 4 4 13 11 5
- 4 3 14 15 4
- 4 6 16 17 7
- 4 0 18 4 6
- 4 8 10 19 2
- 4 7 20 16 8
- 4 10 21 14 3
- 4 9 22 23 10
- 4 2 12 22 9
- 4 11 24 16 12
- 4 2 25 0 12
- 4 4 26 14 13
- 4 13 16 20 11
- 4 14 23 27 15
- 4 27 6 4 15
- 4 27 28 16 6
- 4 16 23 22 17
- 4 22 29 7 17
- 4 0 29 30 18
- 4 30 31 4 18
- 4 8 32 21 10
- 4 10 31 30 19
- 4 30 33 2 19
- 4 7 33 11 20
- 4 28 32 8 16
- 4 32 13 14 21
- 4 14 34 10 23
- 4 16 35 22 12
- 4 24 27 23 16
- 4 11 36 27 24
- 4 25 30 36 0
- 4 2 37 30 25
- 4 26 30 37 14
- 4 4 33 30 26
- 4 32 35 16 13
- 4 27 31 32 28
- 4 0 38 7 29
- 4 22 39 10 29
- 4 34 30 29 10
- 4 27 40 4 31
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- 4 7 41 2 33
- 4 40 11 33 4
- 4 14 36 30 34
- 4 32 37 22 35
- 4 11 38 0 36
- 4 14 42 27 36
- 4 41 22 37 2
- 4 32 42 14 37
- 4 11 43 7 38
- 4 22 43 32 39
- 4 27 43 11 40
- 4 7 41 22 43
- 4 42 27 43 32
- small ditrigonal dodecicosidodecahedron
- small ditrigonal dodecacronic hexecontahedron
- 5/3 3|5
- (10.5/3.10.3)
- icosahedral group
- A5
- 12{10}+20{3}+12{5/3}
- 47 60 120 44 60 4 0 0 -16 3 4 120 5 0 -1
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- great icosicosidodecahedron
- great icosacronic hexecontahedron
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- A5
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- small icosihemidodecahedron
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- A5
- 6{10}+10{3}+10{3/2}
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- small dodecicosahedron
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- icosahedral group
- A5
- 6{10}+10{6}+10{6/5}+6{10/9}
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- 4 12 20 24 4
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- 4 18 14 25 4
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- small dodecahemidodecahedron
- small dodecahemidodecacron
- 5/4 5|5
- (10.5/4.10.5)
- icosahedral group
- A5
- 6{10}+6{5}+6{5/4}
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- 5 1 3 9 13 5 4
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- 10 5 13 19 25 24 17 18 12 11 6
- 5 5 6 15 22 14
- 5 7 16 24 17 8
- 10 7 8 18 20 23 22 14 13 9 10
- 5 9 10 16 25 19 4
- 5 11 15 23 20 12 4
- 5 13 14 21 27 19
- 5 17 26 28 20 18
- 5 21 22 23 28 29
- 5 24 26 29 27 25 4
- 4 3 0 1 2
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- 4 5 11 12 2
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- 4 16 11 9 7
- 4 16 4 13 11
- 4 17 4 10 8
- 4 17 7 12 8
- 4 17 0 15 4
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- 4 16 2 15 4
- 4 16 0 17 2
- great stellated dodecahedron
- great icosahedron
- 3|2 5/2
- (5/2.5/2.5/2)
- icosahedral group
- A5
- 12{5/2}
- 56 20 30 12 20 7 0 0 2 1 3 120 5 0 -1
- 0.0000000000 0.0000000000 1.0000000000
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- 5 5 11 17 14 8 2
- 5 6 9 15 18 12 2
- 5 10 16 19 17 11 2
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- 3 7 9 3
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- 3 6 10 4
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- 3 8 11 5
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- 3 11 9 7
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- 3 9 10 11
- great icosahedron
- great stellated dodecahedron
- 5/2|2 3
- (3.3.3.3.3)/2
- icosahedral group
- A5
- 20{3}
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- 3 2 3 8
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- 3 3 4 9
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- 3 4 5 10
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- 3 6 8 11
- 3 7 11 10
- 3 8 9 11
- 3 9 10 11
- 5 4 0 1 2 3
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- 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
- great icosidodecahedron
- great rhombic triacontahedron
- 2|5/2 3
- (5/2.3.5/2.3)
- icosahedral group
- A5
- 20{3}+12{5/2}
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- 3 15 22 23
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- 5 16 17 19 27 24 2
- 3 18 25 26
- 3 19 26 27
- 3 20 28 25
- 5 21 24 29 23 22 2
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- great pentakisdodekahedron
- 2 5|5/3
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- A5
- 12{5}+12{10/3}
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- medial disdyakistriacontahedron
- 5/3 2 5|
- (10/3.4.10)
- icosahedral group
- A5
- 12{10}+30{4}+12{10/3}
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- great dodecicosidodecahedron
- great dodecacronic hexecontahedron
- 5/2 3|5/3
- (10/3.5/2.10/3.3)
- icosahedral group
- A5
- 12{10/3}+20{3}+12{5/2}
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- 10 3 6 15 27 39 45 44 34 22 11 3
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- 5 9 17 29 31 19 2
- 5 10 21 33 32 20 2
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- 3 18 30 19
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- 5 30 42 52 46 35 2
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- 3 32 34 44
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- 3 33 45 39
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- 3 36 47 37
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- 4 11 25 23 10
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- 4 15 28 27 14
- 4 0 29 7 24
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- 4 14 31 32 16
- 4 32 33 18 16
- 4 22 32 31 8
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- 4 18 35 34 20
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- small dodecahemicosahedron
- small dodecahemicosacron
- 5/3 5/2|3
- (6.5/3.6.5/2)
- icosahedral group
- A5
- 10{6}+6{5/2}+6{5/3}
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- 5 7 22 13 29 23 3
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- great dodecicosahedron
- great dodecicosacron
- 5/3 5/2 3|
- (6.10/3.6/5.10/7)
- icosahedral group
- A5
- 10{6}+6{10/3}+6{10/7}+10{6/5}
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- 4 12 31 24 17
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- 4 22 31 12 23
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- great snub dodecicosidodecahedron
- great hexagonal hexecontahedron
- |5/3 5/2 3
- (3.5/3.3.5/2.3.3)
- icosahedral group
- A5
- 80{3}+12{5/2}+12{5/3}
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- great dodecahemicosahedron
- great dodecahemicosacron
- 5/4 5|3
- (6.5/4.6.5)
- icosahedral group
- A5
- 10{6}+6{5}+6{5/4}
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- great stellated truncated dodecahedron
- great triakisicosahedron
- 2 3|5/3
- (10/3.10/3.3)
- icosahedral group
- A5
- 12{10/3}+20{3}
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- great dodecahemidodecahedron
- great dodecahemidodecacron
- 5/3 5/2|5/3
- (10/3.5/3.10/3.5/2)
- icosahedral group
- A5
- 6{10/3}+6{5/2}+6{5/3}
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- great icosihemidodecahedron
- great icosihemidodecacron
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- small retrosnub icosicosidodecahedron
- small hexagrammic hexecontahedron
- |3/2 3/2 5/2
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- icosahedral group
- A5
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- (4.10/3.4/3.10/7)
- icosahedral group
- A5
- 15{4}+6{10/3}+6{10/7}+15{4/3}
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- great pentagrammic hexecontahedron
- |3/2 5/3 2
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- A5
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|