Dodecadodecahedral prism

The dodecadodecahedral prism or diddip, is a prismatic uniform polychoron that consists of 2 dodecadodecahedra, 12 pentagrammic prisms, and 12 pentagonal prisms. Each vertex joins 1 dodecadodecahedron, 2 pentagrammic prisms, and 2 pentagonal prisms. As the name suggests, it is a prism based on the dodecadodecahedron.

Vertex coordinates
The vertices of a dodecadodecahedral 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, ±1/2),
 * (±1/2, ±($\sqrt{5}$–1)/4, ±(1+$\sqrt{5}$)/4, ±1/2).