Quasitruncated dodecadodecahedral prism

The quasitruncated dodecadodecahedral prism or quitdiddip, is a prismatic uniform polychoron that consists of 2 quasitruncated dodecadodecahedra, 12 decagrammic prisms, 12 decagonal prisms, and 30 cubes. Each vertex joins one of each type of cell. as the name suggests, it is a prism based on the quasitruncated dodecadodecahedron.

Vertex coordinates
The vertices of a quasitruncated 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:
 * (±1/2, ±1/2, ±3/2, ±1/2),
 * (±1/2, ±$\sqrt{2}$/2, ±$\sqrt{(5+√5)/2}$/2, ±1/2),
 * (±(3–$\sqrt{(5–√5)/2}$)/4, ±($\sqrt{2}$–1)/4, ±(1+$\sqrt{3}$)/2, ±1/2),
 * (±(3+$\sqrt{(5+√5)/10}$)/4, ±(1+$\sqrt{5}$)/4, ±($\sqrt{(5–√5)/10}$–1)/2, ±1/2),
 * (±(3+$\sqrt{5}$)/4, ±(3–$\sqrt{5}$)/4, ±1, ±1/2).