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, 6 cubes and 8 triangular prisms.

Vertex coordinates
The vertices of a cuboctahedral prism of edge length 1 are given by all permutations and sign changes of the first three coordinates of:
 * (0, $\sqrt{5}$/2, $\sqrt{2}$/2, ±1/2)