List of polyhedra by facet layout (Meta, 12)

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Revision as of 22:37, 10 January 2012 by Hayate (Talk | contribs)
Parent Elements Dual
Facet layout Name SSC2 Faces Edges Vertices Facet layout Name SSC2
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TetrahedronKt1 464 Self-dual
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CubeKo1 6128
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OctahedronKo4
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DodecahedronKi1 123020
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IcosahedronKi4
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CuboctahedronKo2 142412 Rhombic dodecahedron
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IcosidodecahedronKi2 326030 Rhombic triacontahedron
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Tetrahedral truncateKt3 81812 Triakis tetrahedron
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Cubic truncateKo3 143624 Triakis octahedron
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Dodecahedral truncateKi3 329060 Triakis icosahedron
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Octahedral truncateKo6 143624 Tetrakis hexahedron
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Icosahedral truncateKi6 329060 Pentakis dodecahedron
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Triangular prism+G3 596 Triangular bipyramid
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Pentagonal prism+G5 71510 Pentagonal bipyramid
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Hexagonal prism+G6 81812 Hexagonal bipyramid
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Octagonal prism+G8 102416 Octagonal bipyramid
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Decagonal prism+G10 123020 Decagonal bipyramid
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Square pyramid&G4 585 Self-dual
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Pentagonal pyramid&G5 6106 Self-dual
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Hexagonal pyramid&G6 7127 Self-dual
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Octagonal pyramid&G8 9169 Self-dual
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Decagonal pyramid&G10 112011 Self-dual
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Square antiprismG4$H4 10168 Tetragonal trapezohedron
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Pentagonal antiprismG5$H5 122010 Pentagonal trapezohedron
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Hexagonal antiprismG6$H6 162814 Hexagonal trapezohedron
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Octagonal antiprismG8$H8 203618 Octagonal trapezohedron
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Decagonal antiprismG10$H10 244422 Decagonal trapezohedron
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Trigonal expanded antitrapezohedronUnknown 122414
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Triangular orthobicupolaUnknown
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Tetragonal expanded antitrapezohedronUnknown 163218
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Square orthobicupolaUnknown
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Pentagonal expanded antitrapezohedronUnknown 204022
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Pentagonal orthobicupolaUnknown
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Cubic snubKo0 386024 Pentagonal icositetrahedron
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Dodecahedral snubKi0 9215060 Pentagonal hexecontahedron
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Cuboctahedral rectateKo5 264824 Deltoidal icositetrahedron
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Icosidodecahedral rectateKi5 6212060 Deltoidal hexecontahedron
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Cuboctahedral truncateKo7 267248 Disdyakis dodecahedron
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Icosidodecahedral truncateKi7 62180120 Disdyakis triacontahedron
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Endotrikis antiprismUnknown 10157 Trigonal trapezosemipyramid
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Endotetrakis antiprismUnknown 13209 Tetragonal trapezosemipyramid
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Endopentakis antiprismUnknown 162511 Pentagonal trapezosemipyramid