Compound of six pentagrammic antiprisms

Cartesian coordinates

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

(±(τ+√τ⁻¹), ±τ⁻¹, ±(−1+√τ)) (±√τ⁻¹, ±2, ±√τ) (±(−τ+√τ⁻¹), ±τ⁻¹, ±(1+√τ)) (±(−1+√τ⁻¹), ±(−τ), ±(τ⁻¹+√τ)) (±(1+√τ⁻¹), ±(−τ), ±(−τ⁻¹+√τ))

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