Compound of Five Truncated Tetrahedra - Cartesian Coordinates

Cartesian Coordinates

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

(±1, ±1, ±3)

(±τ−1, ±(−τ−2), ±2τ)

(±τ, ±(−2τ−1), ±τ2)

(±τ2, ±(−τ−2), ±2)

(±(2τ−1), ±1, ±(2τ−1))

with an even number of minuses in the choices for '±', where τ = (1+√5)/2 is the golden ratio (sometimes written φ).