Truncated dodecadodecahedron

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Truncated dodecadodecahedron
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
Truncated dodecadodecahedron
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).

[edit] See also

[edit] External links

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