Cubohemioctahedron

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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.

The 12 vertices and 24 edges, along with the 6 square faces, match those in the convex cuboctahedron.

[edit] External links

• Eric W. Weisstein, Cubohemioctahedron at MathWorld.