Great rhombidodecahedron
In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. It has 42 faces (30 squares, 12 decagrams), 120 edges and 60 vertices. Its vertex figure is a crossed quadrilateral.
| Great rhombidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 42, E = 120 V = 60 (χ = −18) |
| Faces by sides | 30{4}+12{10/3} |
| Coxeter diagram | (with extra double-covered triangles) (with extra double-covered pentagrams) |
| Wythoff symbol | 2 5/3 (3/2 5/4) | |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U73, C89, W109 |
| Dual polyhedron | Great rhombidodecacron |
| Vertex figure | 4.10/3.4/3.10/7 |
| Bowers acronym | Gird |
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