| Snub dodecadodecahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 84, E = 150 V = 60 (χ = −6) |
| Faces by sides | 60{3}+12{5}+12{5/2} |
| Coxeter diagram |    
|
| Wythoff symbol | | 2 5/2 5 |
| Symmetry group | I, [5,3]+, 532 |
| Index references | U40, C49, W111 |
| Dual polyhedron | Medial pentagonal hexecontahedron |
| Vertex figure |  3.3.5/2.3.5 |
| Bowers acronym | Siddid |
In geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U40. It has 84 faces (60 triangles, 12 pentagons, and 12 pentagrams), 150 edges, and 60 vertices.[1] It is given a Schläfli symbol sr{5⁄2,5}, as a snub great dodecahedron.
- ^ Maeder, Roman. "40: snub dodecadodecahedron". MathConsult.