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 |
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.