Great snub icosidodecahedron
| Great snub icosidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 92, E = 150 V = 60 (χ = 2) |
| Faces by sides | (20+60){3}+12{5/2} |
| Coxeter diagram | |
| Wythoff symbol | | 2 5/2 3 |
| Symmetry group | I, [5,3]+, 532 |
| Index references | U57, C88, W113 |
| Dual polyhedron | Great pentagonal hexecontahedron |
| Vertex figure | 34.5/2 |
| Bowers acronym | Gosid |
In geometry, the great snub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U57. It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices. It can be represented by a Schläfli symbol sr{5⁄2,3}, and Coxeter-Dynkin diagram .
This polyhedron is the snub member of a family that includes the great icosahedron, the great stellated dodecahedron and the great icosidodecahedron.
In the book Polyhedron Models by Magnus Wenninger, the polyhedron is misnamed great inverted snub icosidodecahedron, and vice versa.