| Great dodecahemicosahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 22, E = 60 V = 30 (χ = −8) |
| Faces by sides | 12{5}+10{6} |
| Wythoff symbol | 5/4 5 | 3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U65, C81, W102 |
| Bowers acronym | Gidhei |
5.6.5/4.6 (Vertex figure) |
Great dodecahemicosacron (dual polyhedron) |
In geometry, the great dodecahemicosahedron is a nonconvex uniform polyhedron, indexed as U65. Its vertex figure is a crossed quadrilateral.
It is a hemipolyhedron with ten hexagonal faces passing through the model center.
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the dodecadodecahedron (having the pentagonal faces in common), and with the small dodecahemicosahedron (having the hexagonal faces in common).
Dodecadodecahedron |
Small dodecahemicosahedron |
Great dodecahemicosahedron |
Icosidodecahedron (convex hull) |