Octahemioctahedron
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. Its vertex figure is a crossed quadrilateral.
| Octahemioctahedron | |
|---|---|
| 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 |
It is one of nine hemipolyhedra, with 4 hexagonal faces passing through the model center.
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