| Small snub 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 | |5/2 3 3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U32, C41, W110 |
| Bowers acronym | Seside |
35.5/2 (Vertex figure) |
Small hexagonal hexecontahedron (dual polyhedron) |
In geometry, the small snub icosicosidodecahedron is a uniform star polyhedron, indexed as U32. It has 112 faces (100 triangles and 12 pentagrams), 180 edges, and 60 vertices.
Contents |
Its convex hull is a nonuniform truncated icosahedron.
Truncated icosahedron (regular faces) |
Convex hull (isogonal hexagons) |
Small snub icosicosidodecahedron |
Cartesian coordinates for the vertices of a small snub icosicosidodecahedron are all the even permutations of
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).