Truncated icosahedral prism

The truncated icosahedral prism or tipe is a prismatic uniform polychoron that consists of 2 truncated icosahedra, 12 pentagonal prisms, and 20 hexagonal prisms. Each vertex joins 1 truncated icosahedron, 1 pentagonal prism, and 2 hexagonal prisms. As the name suggests, it is a prism based on the truncated icosahedron.

Vertex coordinates
The vertices of a truncated icosahedral prism of edge length 1 are given by all even permutations 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+$\sqrt{(31+9√5)/8}$)/2, ±1/2)