Small snub icosicosidodecahedron
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| Small snub icosicosidodecahedron | |
|---|---|
 |
|
| Type | Uniform 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 |
| Index references | U32, C41, W110 |
 35.5/2 (Vertex figure) |
 Small hexagonal hexecontahedron (dual polyhedron) |
In geometry, the small snub icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U32.
[edit] Cartesian coordinates
Cartesian coordinates for the vertices of a small snub icosicosidodecahedron are all the even permutations of
- (±½(−1/τ+√(3τ−2)), 0, ±½(3+τ√(3τ−2)))
- (±½(1/τ+√(3τ−2)), ±1, ±½(1+2/τ+τ√(3τ−2)))
- (±½(τ2+√(3τ−2)), ±1/τ, ±½(1+τ√(3τ−2)))
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
