Icositruncated Dodecadodecahedron - Cartesian Coordinates

Cartesian Coordinates

Cartesian coordinates for the vertices of an icositruncated dodecadodecahedron are all the even permutations of

(±(2−1/τ), ±1, ±(2+τ))

(±1, ±1/τ2, ±(3τ−1))

(±2, ±2/τ, ±2τ)

(±3, ±1/τ2, ±τ2)

(±τ2, ±1, ±(3τ−2))

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