![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/1/15/Great_truncated_icosidodecahedron.png/640px-Great_truncated_icosidodecahedron.png&w=640&q=50)
Great truncated icosidodecahedron
Polyhedron with 62 faces / From Wikipedia, the free encyclopedia
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, .
Great truncated icosidodecahedron | |
---|---|
![]() | |
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 |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Great_truncated_icosidodecahedron.stl/640px-Great_truncated_icosidodecahedron.stl.png)