Small icosicosidodecahedron
| Small icosicosidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 52, E = 120 V = 60 (χ = −8) |
| Faces by sides | 20{3}+12{5/2}+20{6} |
| Coxeter diagram | |
| Wythoff symbol | 5/2 3 | 3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U31, C40, W71 |
| Dual polyhedron | Small icosacronic hexecontahedron |
| Vertex figure | 6.5/2.6.3 |
| Bowers acronym | Siid |
In geometry, the small icosicosidodecahedron (or small icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U31. It has 52 faces (20 triangles, 12 pentagrams, and 20 hexagons), 120 edges, and 60 vertices.