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Great rhombihexahedron
Polyhedron with 18 faces / From Wikipedia, the free encyclopedia
In geometry, the great rhombihexahedron (or great rhombicube) is a nonconvex uniform polyhedron, indexed as U21. It has 18 faces (12 squares and 6 octagrams), 48 edges, and 24 vertices.[1] Its dual is the great rhombihexacron.[2] Its vertex figure is a crossed quadrilateral.
Great rhombihexahedron | |
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Type | Uniform star polyhedron |
Elements | F = 18, E = 48 V = 24 (Ļ = ā6) |
Faces by sides | 12{4}+6{8/3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 2 4/3 (3/2 4/2) | |
Symmetry group | Oh, [4,3], *432 |
Index references | U21, C82, W103 |
Dual polyhedron | Great rhombihexacron |
Vertex figure | ![]() 4.8/3.4/3.8/5 |
Bowers acronym | Groh |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Great_rhombihexahedron.stl/640px-Great_rhombihexahedron.stl.png)