Small dodecicosahedron
| Small dodecicosahedron | |
|---|---|
 | |
| Type | Uniform star polyhedron |
| Elements | F = 32, E = 120 V = 60 (χ = −28) |
| Faces by sides | 20{6}+12{10} |
| Wythoff symbol | 3 5 (3/2 5/4) | |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U50, C64, W90 |
| Dual polyhedron | Small dodecicosacron |
| Vertex figure |  6.10.6/5.10/9 |
| Bowers acronym | Siddy |
In geometry, the small dodecicosahedron is a nonconvex uniform polyhedron, indexed as U50. Its vertex figure is a crossed quadrilateral.
Related polyhedra
It shares its vertex arrangement with the great stellated truncated dodecahedron. It additionally shares its edges with the small icosicosidodecahedron (having the hexagonal faces in common) and the small ditrigonal dodecicosidodecahedron (having the decagonal faces in common).
 Great stellated truncated dodecahedron |
 Small icosicosidodecahedron |
 Small ditrigonal dodecicosidodecahedron |
Small dodecicosahedron |
External links
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