Dodecahedral prism

The dodecahedral prism or dope is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 dodecahedra and 12 pentagonal prisms.

Vertex coordinates
The vertices of a dodecahedral prism of edge length 1 are given by all permutations and changes of sign of the first three coordinates of: along with all even permutations and all sign changes of:
 * ((1+$\sqrt{5}$)/4, (1+$\sqrt{2}$)/4, (1+$\sqrt{(11+3√5)/8}$)/4, ±1/2)
 * (0, 0, (3+$\sqrt{5}$)/4, ±1/2)