Face layout
| Name
| Petrie order
| SSC2
| Faces
| Edges
| Vertices
| Alternation
| Dual
|
| Tetrahedron | 4,0 | Kt1 | 4 | 6 | 4 | None | Self-dual
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| Octahedron | 6,0 | Ko4 | 8 | 12 | 6 | None | Cube
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| Icosahedron | 10,2 | Ki4 | 20 | 30 | 12 | None | Dodecahedron
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| Cube | 6,2 | Ko1 | 6 | 12 | 8 | Tetrahedron | Octahedron
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| Dodecahedron | 10,10,0 | Ki1 | 12 | 30 | 20 | None | Icosahedron
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No such file |
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No such file |
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| Cuboctahedron | Unknown | Ko2 | 14 | 24 | 12 | None | Rhombic dodecahedron
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No such file |
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No such file |
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| Icosidodecahedron | Unknown | Ki2 | 32 | 60 | 30 | None | Rhombic triacontahedron
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No such file |
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No such file |
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| Triangular prism | Unknown | +G3 | 5 | 9 | 6 | None | Triangular bipyramid
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No such file |
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No such file |
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| Tetrahedral truncate | Unknown | Kt3 | 8 | 18 | 12 | None | Triakis tetrahedron
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No such file |
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No such file |
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| Cubic truncate | Unknown | Ko3 | 14 | 36 | 24 | None | Triakis octahedron
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No such file |
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No such file |
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| Dodecahedral truncate | Unknown | Ki3 | 32 | 90 | 60 | None | Triakis icosahedron
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No such file |
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No such file |
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| Octahedral truncate | Unknown | Ko6 | 14 | 36 | 24 | Icosahedron | Tetrakis hexahedron
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No such file |
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No such file |
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| Pentagonal prism | Unknown | +G5 | 7 | 15 | 10 | None | Pentagonal bipyramid
|
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No such file |
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No such file |
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| Icosahedral truncate | Unknown | Ki6 | 32 | 90 | 60 | None | Pentakis dodecahedron
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No such file |
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No such file |
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| Hexagonal prism | Unknown | +G6 | 8 | 18 | 12 | Octahedron | Hexagonal bipyramid
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No such file |
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No such file |
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| Octagonal prism | Unknown | +G8 | 10 | 24 | 16 | Square antiprism | Octagonal bipyramid
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No such file |
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No such file |
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| Decagonal prism | Unknown | +G10 | 12 | 30 | 20 | Pentagonal antiprism | Decagonal bipyramid
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No such file |
No such file |
No such file |
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| Square antiprism | Unknown | G4$H4 | 10 | 16 | 8 | None | Tetragonal trapezohedron
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No such file |
No such file |
No such file |
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| Pentagonal antiprism | Unknown | G5$H5 | 12 | 20 | 10 | None | Pentagonal trapezohedron
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No such file |
No such file |
No such file |
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| Hexagonal antiprism | Unknown | G6$H6 | 16 | 28 | 14 | None | Hexagonal trapezohedron
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No such file |
No such file |
No such file |
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| Octagonal antiprism | Unknown | G8$H8 | 20 | 36 | 18 | None | Octagonal trapezohedron
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No such file |
No such file |
No such file |
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| Decagonal antiprism | Unknown | G10$H10 | 24 | 44 | 22 | None | Decagonal trapezohedron
|
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No such file |
No such file |
No such file |
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No such file |
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| Cubic snub | Unknown | Ko0 | 38 | 60 | 24 | None | Pentagonal icositetrahedron
|
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No such file |
No such file |
No such file |
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No such file |
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| Dodecahedral snub | Unknown | Ki0 | 92 | 150 | 60 | None | Pentagonal hexecontahedron
|
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No such file |
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No such file |
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No such file |
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| Cuboctahedral rectate | Unknown | Ko5 | 26 | 48 | 24 | None | Deltoidal icositetrahedron
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No such file |
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No such file |
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No such file |
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| Icosidodecahedral rectate | Unknown | Ki5 | 62 | 120 | 60 | None | Deltoidal hexecontahedron
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No such file |
No such file |
No such file |
No such file |
No such file |
No such file |
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| Cuboctahedral truncate | Unknown | Ko7 | 26 | 72 | 48 | Cubic snub | Disdyakis dodecahedron
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No such file |
No such file |
No such file |
No such file |
No such file |
No such file |
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| Icosidodecahedral truncate | Unknown | Ki7 | 62 | 180 | 120 | Dodecahedral snub | Disdyakis triacontahedron
|
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No such file |
No such file |
No such file |
No such file |
No such file |
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| Hexagonal semibipyramid | Unknown | Unknown | 14 | 24 | 12 | None | Trigonal expanded antitrapezohedron
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No such file |
No such file |
No such file |
No such file |
No such file |
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| Octagonal semibipyramid | Unknown | Unknown | 18 | 32 | 16 | None | Tetragonal expanded antitrapezohedron
|
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No such file |
No such file |
No such file |
No such file |
No such file |
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| Decagonal semibipyramid | Unknown | Unknown | 22 | 40 | 20 | None | Pentagonal expanded antitrapezohedron
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