Compound of Five Stellated 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).