Truncated great icosahedron
Polyhedron with 32 faces / From Wikipedia, the free encyclopedia
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In geometry, the truncated great icosahedron (or great truncated icosahedron) is a nonconvex uniform polyhedron, indexed as U55. It has 32 faces (12 pentagrams and 20 hexagons), 90 edges, and 60 vertices.[1] It is given a Schläfli symbol t{3,5⁄2} or t0,1{3,5⁄2} as a truncated great icosahedron.
Truncated great icosahedron | |
---|---|
Type | Uniform star polyhedron |
Elements | F = 32, E = 90 V = 60 (χ = 2) |
Faces by sides | 12{5/2}+20{6} |
Coxeter diagram | |
Wythoff symbol | 2 5/2 | 3 2 5/3 | 3 |
Symmetry group | Ih, [5,3], *532 |
Index references | U55, C71, W95 |
Dual polyhedron | Great stellapentakis dodecahedron |
Vertex figure | 6.6.5/2 |
Bowers acronym | Tiggy |