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In geometry, the great stellated truncated dodecahedron or quasitruncated great stellated dodecahedron is a nonconvex uniform polyhedron, indexed as U66. It is given a Schläfli symbol t0,1{5/3,3}.
Contents
Related polyhedra
It shares its vertex arrangement with three other uniform polyhedra: the small icosicosidodecahedron, the small ditrigonal dodecicosidodecahedron, and the small dodecicosahedron:
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).
References
Great stellated truncated dodecahedron Wikipedia(Text) CC BY-SA