Truncated dodecahedral prism

The truncated dodecahedral prism or tiddip is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 truncated dodecahedra, 12 decagonal prisms and 20 triangular prisms.

Vertex coordinates
The vertices of a truncated dodecahedral prism of edge length 1 are given by all even permutations and all sign changes of the first three coordinates of:
 * (0, 1/2, (5+3$\sqrt{10+2√5}$)/4, ±1/2)
 * (1/2, (3+$\sqrt{10+2√5}$)/4, (3+$\sqrt{2}$)/2, ±1/2)
 * ((3+$\sqrt{312+120√5}$)/4, (1+$\sqrt{5}$)/2, (2+$\sqrt{5}$)/2, ±1/2)