Compound of ten hexagonal prisms

This uniform polyhedron compound is a symmetric arrangement of 10 hexagonal prisms, aligned with the axes of three-fold rotational symmetry of an icosahedron.

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


 * (±$\sqrt{3}$, ±(τ−1−τ$\sqrt{3}$), ±(τ+τ−1$\sqrt{3}$))
 * (±2$\sqrt{3}$, ±τ−1, ±τ)
 * (±(1+$\sqrt{3}$), ±(1−τ$\sqrt{3}$), ±(1+τ−1$\sqrt{3}$))
 * (±(τ−τ−1$\sqrt{3}$), ±$\sqrt{3}$, ±(τ−1+τ$\sqrt{3}$))
 * (±(1−τ−1$\sqrt{3}$), ±(1−$\sqrt{3}$), ±(1+τ$\sqrt{3}$))

where τ = (1+$\sqrt{5}$)/2 is the golden ratio (sometimes written φ).