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Great rhombidodecahedron
Polyhedron with 42 faces / From Wikipedia, the free encyclopedia
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In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. It has 42 faces (30 squares, 12 decagrams), 120 edges and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.
Great rhombidodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 42, E = 120 V = 60 (Ļ = ā18) |
Faces by sides | 30{4}+12{10/3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 2 5/3 (3/2 5/4) | |
Symmetry group | Ih, [5,3], *532 |
Index references | U73, C89, W109 |
Dual polyhedron | Great rhombidodecacron |
Vertex figure | ![]() 4.10/3.4/3.10/7 |
Bowers acronym | Gird |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/3/30/Great_rhombidodecahedron.stl/640px-Great_rhombidodecahedron.stl.png)