| Small rhombidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 42, E = 120 V = 60 (χ = −18) |
| Faces by sides | 30{4}+12{10} |
| Wythoff symbol | 2 5 (3/2 5/2) | |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U39, C46, W74 |
| Bowers acronym | Sird |
4.10.4/3.10/9 (Vertex figure) |
Small rhombidodecacron (dual polyhedron) |
In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39. Its vertex figure is a crossed quadrilateral.
It shares its vertex arrangement with the small stellated truncated dodecahedron and the uniform compounds of 6 or 12 pentagrammic prisms. It additionally shares its edge arrangement with the rhombicosidodecahedron (having the square faces in common), and with the small dodecicosidodecahedron (having the decagonal faces in common).
Rhombicosidodecahedron |
Small dodecicosidodecahedron |
Small rhombidodecahedron |
Small stellated truncated dodecahedron |
Compound of six pentagrammic prisms |
Compound of twelve pentagrammic prisms |
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