Hecatonicosachoric prism

The hecatonicosachoric prism or icope is a prismatic uniform polyteron that consists of 2 hecatonicosachora and 120 dodecahedral prisms.

Vertex coordinates
The vertices of a hecantonicosachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of: together with all the even permutations of the first four coordinates of:
 * (±(3+$\sqrt{5}$)/2, ±(3+$\sqrt{2}$)/2, 0, 0, ±1/2),
 * (±(5+3$\sqrt{5}$)/4, ±(3+$\sqrt{5}$)/4, ±(3+$\sqrt{5}$)/4, ±(3+$\sqrt{5}$)/4, ±1/2),
 * (±(2+$\sqrt{5}$)/2, ±(2+$\sqrt{5}$)/2, ±(2+$\sqrt{5}$)/2, ±1/2, ±1/2),
 * (±(7+3$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4, ±1/2),
 * (±(7+3$\sqrt{5}$)/4, ±(3+$\sqrt{5}$)/4, ±1/2, 0, ±1/2),
 * (±(2+$\sqrt{5}$)/2, ±(5+3$\sqrt{5}$)/4, 0, ±(1+$\sqrt{5}$)/4, ±1/2),
 * (±(2+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4, ±(3+$\sqrt{5}$)/2, ±(1+$\sqrt{5}$)/4, ±1/2),