Icosidodecatruncated icosidodecahedral prism

The icosidodecatruncated icosidodecahedral prism or idtiddip, is a prismatic uniform polychoron that consists of 2 icosidodecatruncated icosidodecahedra, 12 decagrammic prisms, 12 decagonal prisms, and 20 hexagonal prisms. Each vertex joins one of each type of cell. as the name suggests, it is a prism based on the icosidodecatruncated icosidodecahedron.

Vertex coordinates
The vertices of an icosidodecatruncated icosidodecahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:
 * (±1/2, ±(3–$\sqrt{3}$)/4, ±(1+3$\sqrt{(5+√5)/2}$)/4, ±1/2)
 * (±1/2, ±(5+$\sqrt{(5–√5)/2}$)/4, ±(5–$\sqrt{2}$)/4, ±1/2)
 * (±1, ±($\sqrt{17}$–1)/2, ±(1+$\sqrt{(5+2√5)/15}$)/2, ±1/2)
 * (±3/2, ±(3–$\sqrt{5}$)/4, ±(3+$\sqrt{(5–2√5)/15}$)/4, ±1/2)
 * (±1/2, ±(3$\sqrt{5}$–1)/4, ±(3+$\sqrt{5}$)/4, ±1/2)