Great stellated truncated dodecahedron

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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).

[edit] See also

• List of uniform polyhedra

[edit] External links

• Eric W. Weisstein, Great stellated truncated dodecahedron at MathWorld.