| Great rhombidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 42, E = 120 V = 60 (χ = −18) |
| Faces by sides | 30{4}+12{10/3} |
| Wythoff symbol | 2 5/3 (3/2 5/4) | |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U73, C89, W109 |
| Bowers acronym | Gird |
4.10/3.4/3.10/7 (Vertex figure) |
Great rhombidodecacron (dual polyhedron) |
In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. Its vertex figure is a crossed quadrilateral.
It shares its vertex arrangement with the truncated great dodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the nonconvex great rhombicosidodecahedron (having the square faces in common), and with the great dodecicosidodecahedron (having the decagrammic faces in common).
Nonconvex great rhombicosidodecahedron |
Great dodecicosidodecahedron |
Great rhombidodecahedron |
Truncated great dodecahedron |
Compound of six pentagonal prisms |
Compound of twelve pentagonal prisms |