| 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 |
| Bowers acronym | Siddy |
6.10.6/5.10/9 (Vertex figure) |
Small dodecicosacron (dual polyhedron) |
In geometry, the small dodecicosahedron is a nonconvex uniform polyhedron, indexed as U50. Its vertex figure is a crossed quadrilateral.
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 |