Icosidodecahedral prism

The icosidodecahedral prism or iddip, is a prismatic uniform polychoron that consists of 2 icosidodecahedra, 12 pentagonal prisms and 20 triangular prisms. Each vertex joins 1 icosidodecahedron, 2 pentagonal prisms, and 2 triangular prisms. As the name suggests, it is a prism based on the icosidodecahedron.

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).