Great stellated truncated dodecahedron
From Wikipedia, the free encyclopedia
| Great stellated truncated dodecahedron | |
|---|---|
 |
|
| Type | Uniform polyhedron |
| Elements | F = 32, E = 90 V = 60 (χ = 2) |
| Faces by sides | 20{3}+12{10/3} |
| Wythoff symbol | 2 3 | 5/3 |
| Symmetry group | Ih |
| Index references | U66, C83, W104 |
 3.10/3.10/3 (Vertex figure) |
 Great triakis icosahedron (dual polyhedron) |
In geometry, the great stellated truncated dodecahedron is a nonconvex uniform polyhedron, indexed as U66.
It shares its vertex arrangement with the small icosicosidodecahedron.
[edit] Cartesian coordinates
Cartesian coordinates for the vertices of a great stellated truncated dodecahedron are all the even permutations of
- (0, ±τ, ±(2−1/τ))
- (±τ, ±1/τ, ±2/τ)
- (±1/τ2, ±1/τ, ±2)
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
