List of polyhedra by facet layout (Meta, 12)
From Hi.gher. Space
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|{{FLD|tright2|tline|tbar3|tline|tleft5|cright}} | |{{FLD|tright2|tline|tbar3|tline|tleft5|cright}} | ||
|[[Icosidodecahedral truncate]]||Unknown||Ki7||62||180||120||[[Dodecahedral snub]]||[[Disdyakis triacontahedron]] | |[[Icosidodecahedral truncate]]||Unknown||Ki7||62||180||120||[[Dodecahedral snub]]||[[Disdyakis triacontahedron]] | ||
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+ | |{{FLD|a3|line|tbright|tbend|tbleft|end}} | ||
+ | |[[Hexagonal semibipyramid]]||Unknown||Unknown||14||24||12||None||[[Trigonal expanded antitrapezohedron]] | ||
+ | |- | ||
+ | |{{FLD|a4|line|tbright|tbend|tbleft|end}} | ||
+ | |[[Octagonal semibipyramid]]||Unknown||Unknown||18||32||16||None||[[Tetragonal expanded antitrapezohedron]] | ||
+ | |- | ||
+ | |{{FLD|a5|line|tbright|tbend|tbleft|end}} | ||
+ | |[[Decagonal semibipyramid]]||Unknown||Unknown||22||40||20||None||[[Pentagonal expanded antitrapezohedron]] | ||
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Revision as of 12:54, 1 November 2009
Face layout | Name | Petrie order | SSC2 | Faces | Edges | Vertices | Alternation | Dual | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Tetrahedron | 4,0 | Kt1 | 4 | 6 | 4 | None | Self-dual | ||||||||||
| Octahedron | 6,0 | Ko4 | 8 | 12 | 6 | None | Cube | ||||||||||
| Icosahedron | 10,2 | Ki4 | 20 | 30 | 12 | None | Dodecahedron | ||||||||||
| Cube | 6,2 | Ko1 | 6 | 12 | 8 | Tetrahedron | Octahedron | ||||||||||
| Dodecahedron | 10,10,0 | Ki1 | 12 | 30 | 20 | None | Icosahedron | ||||||||||
| Cuboctahedron | Unknown | Ko2 | 14 | 24 | 12 | None | Rhombic dodecahedron | ||||||||||
| Icosidodecahedron | Unknown | Ki2 | 32 | 60 | 30 | None | Rhombic triacontahedron | ||||||||||
| Triangular prism | Unknown | +G3 | 5 | 9 | 6 | None | Triangular bipyramid | ||||||||||
| Tetrahedral truncate | Unknown | Kt3 | 8 | 18 | 12 | None | Triakis tetrahedron | ||||||||||
| Cubic truncate | Unknown | Ko3 | 14 | 36 | 24 | None | Triakis octahedron | ||||||||||
| Dodecahedral truncate | Unknown | Ki3 | 32 | 90 | 60 | None | Triakis icosahedron | ||||||||||
| Octahedral truncate | Unknown | Ko6 | 14 | 36 | 24 | Icosahedron | Tetrakis hexahedron | ||||||||||
| Pentagonal prism | Unknown | +G5 | 7 | 15 | 10 | None | Pentagonal bipyramid | ||||||||||
| Icosahedral truncate | Unknown | Ki6 | 32 | 90 | 60 | None | Pentakis dodecahedron | ||||||||||
| Hexagonal prism | Unknown | +G6 | 8 | 18 | 12 | Octahedron | Hexagonal bipyramid | ||||||||||
| Octagonal prism | Unknown | +G8 | 10 | 24 | 16 | Square antiprism | Octagonal bipyramid | ||||||||||
| Decagonal prism | Unknown | +G10 | 12 | 30 | 20 | Pentagonal antiprism | Decagonal bipyramid | ||||||||||
| Square antiprism | Unknown | G4$H4 | 10 | 16 | 8 | None | Tetragonal trapezohedron | ||||||||||
| Pentagonal antiprism | Unknown | G5$H5 | 12 | 20 | 10 | None | Pentagonal trapezohedron | ||||||||||
| Hexagonal antiprism | Unknown | G6$H6 | 16 | 28 | 14 | None | Hexagonal trapezohedron | ||||||||||
| Octagonal antiprism | Unknown | G8$H8 | 20 | 36 | 18 | None | Octagonal trapezohedron | ||||||||||
| Decagonal antiprism | Unknown | G10$H10 | 24 | 44 | 22 | None | Decagonal trapezohedron | ||||||||||
| Cubic snub | Unknown | Ko0 | 38 | 60 | 24 | None | Pentagonal icositetrahedron | ||||||||||
| Dodecahedral snub | Unknown | Ki0 | 92 | 150 | 60 | None | Pentagonal hexecontahedron | ||||||||||
| Cuboctahedral rectate | Unknown | Ko5 | 26 | 48 | 24 | None | Deltoidal icositetrahedron | ||||||||||
| Icosidodecahedral rectate | Unknown | Ki5 | 62 | 120 | 60 | None | Deltoidal hexecontahedron | ||||||||||
| Cuboctahedral truncate | Unknown | Ko7 | 26 | 72 | 48 | Cubic snub | Disdyakis dodecahedron | ||||||||||
| Icosidodecahedral truncate | Unknown | Ki7 | 62 | 180 | 120 | Dodecahedral snub | Disdyakis triacontahedron | ||||||||||
| Hexagonal semibipyramid | Unknown | Unknown | 14 | 24 | 12 | None | Trigonal expanded antitrapezohedron | ||||||||||
| Octagonal semibipyramid | Unknown | Unknown | 18 | 32 | 16 | None | Tetragonal expanded antitrapezohedron | ||||||||||
| Decagonal semibipyramid | Unknown | Unknown | 22 | 40 | 20 | None | Pentagonal expanded antitrapezohedron |