Truncated icosahedral prism

The truncated icosahedral prism or tipe is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 truncated icosahedra, 12 pentagonal prisms and 20 hexagonal prisms.

Vertex coordinates
The vertices of a truncated icosahedral prism of edge length 1 are given by all even permutations and all sign changes of the first three coordinates of:
 * (0, 1/2, 3(1+$\sqrt{5}$)/4, ±1/2)
 * (1/2, (5+$\sqrt{3}$)/4, (1+$\sqrt{3}$)/2, ±1/2)
 * ((1+$\sqrt{2}$)/4, ±1, (2+$\sqrt{248+72√5}$)/2, ±1/2)