Icositruncated dodecadodecahedron
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Icositruncated dodecadodecahedron | |
---|---|
Type | Uniform polyhedron |
Elements | F = 44, E = 180 V = 120 (χ = -16) |
Faces by sides | 20{6}+12{10}+12{10/3} |
Wythoff symbol | 3 55/3 | |
Symmetry group | Ih |
Index references | U45, C57, W84 |
6.10.10/3 (Vertex figure) |
Tridyakis icosahedron (dual polyhedron) |
In geometry, the icositruncated dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U45.
[edit] Cartesian coordinates
Cartesian coordinates for the vertices of an icositruncated dodecadodecahedron are all the even permutations of
- (±(2−1/τ), ±1, ±(2+τ))
- (±1, ±1/τ2, ±(3τ−1))
- (±2, ±2/τ, ±2τ)
- (±3, ±1/τ2, ±τ2)
- (±τ2, ±1, ±(3τ−2))
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).