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Great stellated truncated dodecahedron
Polyhedron with 32 faces / From Wikipedia, the free encyclopedia
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In geometry, the great stellated truncated dodecahedron (or quasitruncated great stellated dodecahedron or great stellatruncated dodecahedron) is a nonconvex uniform polyhedron, indexed as U66. It has 32 faces (20 triangles and 12 decagrams), 90 edges, and 60 vertices.[1] It is given a Schläfli symbol t0,1{5/3,3}.
Great stellated truncated dodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 32, E = 90 V = 60 (χ = 2) |
Faces by sides | 20{3}+12{10/3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 2 3 | 5/3 |
Symmetry group | Ih, [5,3], *532 |
Index references | U66, C83, W104 |
Dual polyhedron | Great triakis icosahedron |
Vertex figure | ![]() 3.10/3.10/3 |
Bowers acronym | Quit Gissid |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/0/08/Great_stellated_truncated_dodecahedron.stl/640px-Great_stellated_truncated_dodecahedron.stl.png)