| Small ditrigonal dodecicosidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 44, E = 120 V = 60 (χ = −16) |
| Faces by sides | 20{3}+12{5/2}+12{10} |
| Wythoff symbol | 5/3 3 | 5 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U43, C55, W82 |
| Bowers acronym | Sidditdid |
3.10.5/3.10 (Vertex figure) |
Small ditrigonal dodecacronic hexecontahedron (dual polyhedron) |
In geometry, the small ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U43. 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 triangular and pentagrammic faces in common) and the small dodecicosahedron (having the decagonal faces in common).
Great stellated truncated dodecahedron |
Small icosicosidodecahedron |
Small ditrigonal dodecicosidodecahedron |
Small dodecicosahedron |