Small rhombihexahedron

Small rhombihexahedron
Type Uniform star polyhedron
Elements F = 18, E = 48
V = 24 (χ = −6)
Faces by sides 12{4}+6{8}
Coxeter diagram (with extra double-covered triangles)
(with extra double-covered squares)
Wythoff symbol 2 4 (3/2 4/2) |
Symmetry group Oh, [4,3], *432
Index references U18, C60, W86
Dual polyhedron Small rhombihexacron
Vertex figure
4.8.4/3.8/7
Bowers acronym Sroh
3D model of a small rhombihexahedron

In geometry, the small rhombihexahedron (or small rhombicube) is a nonconvex uniform polyhedron, indexed as U18. It has 18 faces (12 squares and 6 octagons), 48 edges, and 24 vertices. Its vertex figure is an antiparallelogram.