Nonconvex great rhombicosidodecahedron
| 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. 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.