| Great ditrigonal dodecicosidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 44, E = 120 V = 60 (χ = −16) |
| Faces by sides | 20{3}+12{5}+12{10/3} |
| Wythoff symbol | 3 5 | 5/3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U42, C54, W81 |
| Bowers acronym | Gidditdid |
3.10/3.5.10/3 (Vertex figure) |
Great ditrigonal dodecacronic hexecontahedron (dual polyhedron) |
In geometry, the great ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U42.
It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great icosicosidodecahedron (having the triangular and pentagonal faces in common) and the great dodecicosahedron (having the decagrammic faces in common).
Truncated dodecahedron |
Great icosicosidodecahedron |
Great ditrigonal dodecicosidodecahedron |
Great dodecicosahedron |