![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/2/29/Small_icosicosidodecahedron.png/640px-Small_icosicosidodecahedron.png&w=640&q=50)
Small icosicosidodecahedron
Polyhedron / From Wikipedia, the free encyclopedia
In geometry, the small icosicosidodecahedron (or small icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U31. It has 52 faces (20 triangles, 12 pentagrams, and 20 hexagons), 120 edges, and 60 vertices.[1]
Small icosicosidodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 52, E = 120 V = 60 (Ļ = ā8) |
Faces by sides | 20{3}+12{5/2}+20{6} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Wythoff symbol | 5/2 3 | 3 |
Symmetry group | Ih, [5,3], *532 |
Index references | U31, C40, W71 |
Dual polyhedron | Small icosacronic hexecontahedron |
Vertex figure | ![]() 6.5/2.6.3 |
Bowers acronym | Siid |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/f/f6/Small_icosicosidodecahedron.stl/640px-Small_icosicosidodecahedron.stl.png)