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Small dodecicosahedron
Polyhedron with 32 faces / From Wikipedia, the free encyclopedia
In geometry, the small dodecicosahedron (or small dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U50. It has 32 faces (20 hexagons and 12 decagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.
Small dodecicosahedron | |
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Type | Uniform star polyhedron |
Elements | F = 32, E = 120 V = 60 (Ļ = ā28) |
Faces by sides | 20{6}+12{10} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 3 5 (3/2 5/4) | |
Symmetry group | Ih, [5,3], *532 |
Index references | U50, C64, W90 |
Dual polyhedron | Small dodecicosacron |
Vertex figure | ![]() 6.10.6/5.10/9 |
Bowers acronym | Siddy |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Small_dodecicosahedron.stl/640px-Small_dodecicosahedron.stl.png)