| Nonconvex great rhombicosidodecahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 62, E = 120 V = 60 (χ = 2) |
| Faces by sides | 20{3}+30{4}+12{5/2} |
| Coxeter diagram |      
|
| Wythoff symbol | 5/3 3 | 2 5/2 3/2 | 2 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U67, C84, W105 |
| Dual polyhedron | Great deltoidal hexecontahedron |
| Vertex figure |  3.4.5/3.4 |
| Bowers acronym | Qrid |
In geometry, the nonconvex great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U67. It has 62 faces (20 triangles, 30 squares and 12 pentagrams), 120 edges, and 60 vertices.[1] It is also called the quasirhombicosidodecahedron. It is given a Schläfli symbol rr{5⁄3,3}. Its vertex figure is a crossed quadrilateral.
This model shares the name with the convex great rhombicosidodecahedron, also known as the truncated icosidodecahedron.
- ^ Maeder, Roman. "67: great rhombicosidodecahedron". MathConsult.