| Great icosicosidodecahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 52, E = 120 V = 60 (χ = −8) |
| Faces by sides | 20{3}+12{5}+20{6} |
| Coxeter diagram |    
|
| Wythoff symbol | 3/2 5 | 3 3 5/4 | 3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U48, C62, W88 |
| Dual polyhedron | Great icosacronic hexecontahedron |
| Vertex figure |  5.6.3/2.6 |
| Bowers acronym | Giid |
In geometry, the great icosicosidodecahedron (or great icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U48. It has 52 faces (20 triangles, 12 pentagons, and 20 hexagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.
- ^ Maeder, Roman. "48: great icosicosidodecahedron". MathConsult.