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} |
| 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 is a nonconvex uniform polyhedron, indexed as U31.
Related polyhedra
It shares its vertex arrangement with the great stellated truncated dodecahedron. It additionally shares its edges with the small ditrigonal dodecicosidodecahedron (having the triangular and pentagrammic faces in common) and the small dodecicosahedron (having the hexagonal faces in common).
 Great stellated truncated dodecahedron |
Small icosicosidodecahedron |
 Small ditrigonal dodecicosidodecahedron |
 Small dodecicosahedron |