Small rhombidodecahedron
| Small rhombidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 42, E = 120 V = 60 (χ = −18) |
| Faces by sides | 30{4}+12{10} |
| Coxeter diagram | (with extra double-covered triangles) (with extra double-covered pentagons) |
| Wythoff symbol | 2 5 (3/2 5/2) | |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U39, C46, W74 |
| Dual polyhedron | Small rhombidodecacron |
| Vertex figure | 4.10.4/3.10/9 |
| Bowers acronym | Sird |
In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39. It has 42 faces (30 squares and 12 decagons), 120 edges, and 60 vertices. Its vertex figure is a crossed quadrilateral.