Great truncated icosidodecahedron
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| Great truncated icosidodecahedron | |
|---|---|
 |
|
| Type | Uniform polyhedron |
| Elements | F = 62, E = 180 V = 120 (χ = 2) |
| Faces by sides | 30{4}+20{6}+12{10/3} |
| Wythoff symbol | 2 35/3 | |
| Symmetry group | Ih |
| Index references | U68, C87, W108 |
 4.6.10/3 (Vertex figure) |
 Great disdyakis triacontahedron (dual polyhedron) |
In geometry, the great truncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U68.
[edit] Cartesian coordinates
Cartesian coordinates for the vertices of a great truncated icosidodecahedron centered at the origin are all the even permutations of
- (±τ, ±τ, ±(3−1/τ)),
- (±2τ, ±1/τ, ±(1−2/τ)),
- (±τ, ±1/τ2, ±(1+3/τ)),
- (±(1+2/τ), ±2, ±(2−1/τ)) and
- (±1/τ, ±3, ±2/τ),
where τ = (1+√5)/2 is the golden ratio.
