Great_disdyakis_triacontahedron
Great truncated icosidodecahedron
Polyhedron with 62 faces
In geometry, the great truncated icosidodecahedron (or great quasitruncated icosidodecahedron or stellatruncated icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U68. It has 62 faces (30 squares, 20 hexagons, and 12 decagrams), 180 edges, and 120 vertices.[1] It is given a Schläfli symbol t0,1,2{5⁄3,3}, and Coxeter-Dynkin diagram, .
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Great truncated icosidodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 62, E = 180 V = 120 (χ = 2) |
Faces by sides | 30{4}+20{6}+12{10/3} |
Coxeter diagram | |
Wythoff symbol | 2 3 5/3 | |
Symmetry group | Ih, [5,3], *532 |
Index references | U68, C87, W108 |
Dual polyhedron | Great disdyakis triacontahedron |
Vertex figure | 4.6.10/3 |
Bowers acronym | Gaquatid |