Icosidodecahedral prism

The icosidodecahedral prism or iddip is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 icosidodecahedra, 12 pentagonal prisms and 20 triangular prisms.

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