Cubohemioctahedron
In geometry, the cubohemioctahedron is a nonconvex uniform polyhedron, indexed as U15. It has 10 faces (6 squares and 4 regular hexagons), 24 edges and 12 vertices. Its vertex figure is a crossed quadrilateral.
| Cubohemioctahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 10, E = 24 V = 12 (χ = −2) |
| Faces by sides | 6{4}+4{6} |
| Coxeter diagram | (double-covering) |
| Wythoff symbol | 4/3 4 | 3 (double-covering) |
| Symmetry group | Oh, [4,3], *432 |
| Index references | U15, C51, W78 |
| Dual polyhedron | Hexahemioctacron |
| Vertex figure | 4.6.4/3.6 |
| Bowers acronym | Cho |
It is given Wythoff symbol 4⁄3 4 | 3, although that is a double-covering of this figure.
A nonconvex polyhedron has intersecting faces which do not represent new edges or faces. In the picture vertices are marked by golden spheres, and edges by silver cylinders.
It is a hemipolyhedron with 4 hexagonal faces passing through the model center. The hexagons intersect each other and so only triangular portions of each are visible.
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