| Rhombidodecadodecahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 54, E = 120 V = 60 (χ = −6) |
| Faces by sides | 30{4}+12{5}+12{5/2} |
| Coxeter diagram |     
|
| Wythoff symbol | 5/2 5 | 2 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U38, C48, W76 |
| Dual polyhedron | Medial deltoidal hexecontahedron |
| Vertex figure |  4.5/2.4.5 |
| Bowers acronym | Raded |
In geometry, the rhombidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U38. It has 54 faces (30 squares, 12 pentagons and 12 pentagrams), 120 edges and 60 vertices.[1] It is given a Schläfli symbol t0,2{5⁄2,5}, and by the Wythoff construction this polyhedron can also be named a cantellated great dodecahedron.
- ^ Maeder, Roman. "38: rhombidodecadodecahedron". MathConsult.