This uniform polyhedron compound is a symmetric arrangement of 6 decagrammic prisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron. Cartesian coordinates Cartesian coordinates for the vertices of this compound are all the cyclic permutations of (±√(τ/√5), ±2τ−1, ±√(τ−1/√5)) (±(√(τ/√5)+τ−2), ±1, ±(√(τ−1/√5)−τ−1)) (±(√(τ/√5)−τ−1), ±τ−2, ±(√(τ−1/√5)+1)) (±(√(τ/√5)+τ−1), ±τ−2, ±(√(τ−1/√5)−1)) (±(√(τ/√5)−τ−2), ±1, ±(√(τ−1/√5)+τ−1)) where τ = (1+√5)/2 is the golden ratio (sometimes written φ). References . Polyhedral compounds