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Octahemioctahedron
Uniform star polyhedron with 12 faces / From Wikipedia, the free encyclopedia
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In geometry, the octahemioctahedron or allelotetratetrahedron is a nonconvex uniform polyhedron, indexed as U3. It has 12 faces (8 triangles and 4 hexagons), 24 edges and 12 vertices.[1] Its vertex figure is a crossed quadrilateral.
Octahemioctahedron | |
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![]() | |
Type | Uniform star polyhedron |
Elements | F = 12, E = 24 V = 12 (χ = 0) |
Faces by sides | 8{3}+4{6} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Wythoff symbol | 3/2 3 | 3 |
Symmetry group | Oh, [4,3], *432 |
Index references | U03, C37, W68 |
Dual polyhedron | Octahemioctacron |
Vertex figure | ![]() 3.6.3/2.6 |
Bowers acronym | Oho |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Octahemioctahedron.stl/640px-Octahemioctahedron.stl.png)
It is one of nine hemipolyhedra, with 4 hexagonal faces passing through the model center.