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 of the first three coordinates of: along with all even permutations of the first three coordinates of:
 * $$\left(±1,\,0,\,0,\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±\frac{\sqrt5-1}{4},\,±\frac12,\,±\frac12\right).$$