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Rhombicosahedron
From Wikipedia, the free encyclopedia
Not to be confused with Rhombic icosahedron.
In geometry, the rhombicosahedron is a nonconvex uniform polyhedron, indexed as U56. It has 50 faces (30 squares and 20 hexagons), 120 edges and 60 vertices.[1] Its vertex figure is an antiparallelogram.
Rhombicosahedron | |
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Type | Uniform star polyhedron |
Elements | F = 50, E = 120 V = 60 (Ļ = ā10) |
Faces by sides | 30{4}+20{6} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 2 3 (5/4 5/2) | |
Symmetry group | Ih, [5,3], *532 |
Index references | U56, C72, W96 |
Dual polyhedron | Rhombicosacron |
Vertex figure | ![]() 4.6.4/3.6/5 |
Bowers acronym | Ri |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/9/9e/Rhombicosahedron.stl/640px-Rhombicosahedron.stl.png)