Truncated dodecadodecahedron
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Truncated dodecadodecahedron | |
---|---|
Type | Uniform polyhedron |
Elements | F = 54, E = 180 V = 120 (χ = -6) |
Faces by sides | 30{4}+12{10}+12{10/3} |
Wythoff symbol | 2 55/3 | |
Symmetry group | Ih |
Index references | U59, C75, W98 |
4.10.10/3 (Vertex figure) |
Medial disdyakis triacontahedron (dual polyhedron) |
In geometry, the truncated dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U59.
[edit] Cartesian coordinates
Cartesian coordinates for the vertices of a truncated dodecadodecahedron are all the even permutations of
- (±1, ±1, ±3)
- (±1/τ, ±1/τ2, ±2τ)
- (±τ, ±2/τ, ±τ2)
- (±τ2, ±1/τ2, ±2)
- (±(2τ−1), ±1, ±(2τ−1))
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).