Nonconvex Great Rhombicosidodecahedron - Cartesian Coordinates

Cartesian Coordinates

Cartesian coordinates for the vertices of a nonconvex great rhombicosidodecahedron are all the even permutations of

(±1/τ2, 0, ±(2−1/τ))
(±1, ±1/τ3, ±1)
(±1/τ, ±1/τ2, ±2/τ)

where τ = (1+√5)/2 is the golden ratio (sometimes written φ).

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