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Great dodecahemicosahedron
Polyhedron with 22 faces / From Wikipedia, the free encyclopedia
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In geometry, the great dodecahemicosahedron (or great dodecahemiicosahedron) is a nonconvex uniform polyhedron, indexed as U65. It has 22 faces (12 pentagons and 10 hexagons), 60 edges, and 30 vertices.[1] Its vertex figure is a crossed quadrilateral.
Great dodecahemicosahedron | |
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Type | Uniform star polyhedron |
Elements | F = 22, E = 60 V = 30 (Ļ = ā8) |
Faces by sides | 12{5}+10{6} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Wythoff symbol | 5/4 5 | 3 (double covering) |
Symmetry group | Ih, [5,3], *532 |
Index references | U65, C81, W102 |
Dual polyhedron | Great dodecahemicosacron |
Vertex figure | ![]() 5.6.5/4.6 |
Bowers acronym | Gidhei |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/b/b9/Great_dodecahemicosahedron.stl/640px-Great_dodecahemicosahedron.stl.png)
It is a hemipolyhedron with ten hexagonal faces passing through the model center.