Cubohemioctahedron
From Wikipedia, the free encyclopedia
| Cubohemioctahedron | |
|---|---|
 |
|
| Type | Uniform polyhedron |
| Elements | F = 10, E = 24 V = 12 (χ = -2) |
| Faces by sides | 6{4}+4{6} |
| Wythoff symbol | 4/34 | 3 |
| Symmetry group | Oh |
| Index references | U15, C51, W78 |
 4.6.4/3.6 (Vertex figure) |
 Hexahemioctacron (dual polyhedron) |
In geometry, the cubohemioctahedron is a nonconvex uniform polyhedron, indexed as U15.
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. The 4 hexagons in this model all pass through the model center. The hexagons intersect each other and so only triangle portions of each are visible.
It shares the same edge arrangement, along with the 6 square faces, with the convex cuboctahedron.
