| Great icosidodecahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 32, E = 60 V = 30 (χ = 2) |
| Faces by sides | 20{3}+12{5/2} |
| Coxeter diagram |      
|
| Wythoff symbol | 2 | 3 5/2 2 | 3 5/3 2 | 3/2 5/2 2 | 3/2 5/3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U54, C70, W94 |
| Dual polyhedron | Great rhombic triacontahedron |
| Vertex figure |  3.5/2.3.5/2 |
| Bowers acronym | Gid |
In geometry, the great icosidodecahedron is a nonconvex uniform polyhedron, indexed as U54. It has 32 faces (20 triangles and 12 pentagrams), 60 edges, and 30 vertices.[1] It is given a Schläfli symbol r{3,5⁄2}. It is the rectification of the great stellated dodecahedron and the great icosahedron. It was discovered independently by Hess (1878), Badoureau (1881) and Pitsch (1882).
- ^ Maeder, Roman. "54: great icosidodecahedron". MathConsult.