| Great icosicosidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 52, E = 120 V = 60 (χ = −8) |
| Faces by sides | 20{3}+12{5}+20{6} |
| Wythoff symbol | 3/2 5 | 3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U48, C62, W88 |
| Bowers acronym | Giid |
5.6.3/2.6 (Vertex figure) |
Great icosacronic hexecontahedron (dual polyhedron) |
In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48. Its vertex figure is a crossed quadrilateral.
It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great ditrigonal dodecicosidodecahedron (having the triangular and pentagonal faces in common) and the great dodecicosahedron (having the hexagonal faces in common).
Truncated dodecahedron |
Great icosicosidodecahedron |
Great ditrigonal dodecicosidodecahedron |
Great dodecicosahedron |