Compound of Five Truncated Cubes - Cartesian Coordinates

Cartesian Coordinates

Cartesian coordinates for the vertices of this compound are all the cyclic permutations of

(±(2+√2), ±√2, ±(2+√2))

(±τ, ±(τ−1+τ−1√2), ±(2τ−1+τ√2))

(±1, ±(τ−2−τ−1√2), ±(τ2+τ√2))

(±(1+√2), ±(−τ−2−√2), ±(τ2+√2))

(±(τ+τ√2), ±(−τ−1), ±(2τ−1+τ−1√2))

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