Rhombidodecadodecahedron - Cartesian Coordinates

Cartesian Coordinates

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

(±1/τ2, 0, ±τ2))

(±1, ±1, ±(2τ−1))

(±2, ±1/τ, ±τ)

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