| Small retrosnub icosicosidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 112, E = 180 V = 60 (χ = −8) |
| Faces by sides | (40+60){3}+12{5/2} |
| Wythoff symbol | |3/2 3/2 5/2 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U72, C91, W118 |
| Bowers acronym | Sirsid |
(35.5/3)/2 (Vertex figure) |
Small hexagrammic hexecontahedron (dual polyhedron) |
In geometry, the small retrosnub icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U72.
Contents |
Its convex hull is a nonuniform truncated dodecahedron.
truncated dodecahedron |
Convex hull |
Small retrosnub icosicosidodecahedron |
Cartesian coordinates for the vertices of a small retrosnub icosicosidodecahedron are all the even permutations of
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).