Cubohemioctahedron

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

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.^[1] Its vertex figure is a crossed quadrilateral.

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.