Small icosicosidodecahedron
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| Small icosicosidodecahedron | |
|---|---|
 |
|
| Type | Uniform 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 |
| Index references | U31, C40, W71 |
 6.5/2.6.3 (Vertex figure) |
 Small icosacronic hexacontahedron (dual polyhedron) |
In geometry, the small icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U31.
It shares its vertex arrangement with the great stellated truncated dodecahedron. It additionally shares its edges with the small ditrigonal dodecicosidodecahedron and the small dodecicosahedron.
