Great snub dodecicosidodecahedral prism

The great snub dodecicosidodecahedral prism or gisdiddip is a prismatic uniform polychoron that consists of 2 great snub dodecicosidodecahedra, 24 pentagrammic prisms (which form compounds in the same hyperplane), and 20+60 triangular prisms. Each vertex joins 1 great snub dodecicosidodecahedron,2 pentagrammic prisms, and 4 triangular prisms. As the name suggests, it is a prism based on the great snub dodecicosidodecahedron.

Vertex coordinates
A great snub dodecicosidodecahedron of edge length 1 has vertex coordinates given by all even permutations of:
 * (±$\sqrt{5}$, ±($\sqrt{5}$), ±($\sqrt{2}$, ±1/2),
 * (0, ±$\sqrt{3}$/2, ±$\sqrt{2}$/2, ±1/2),
 * (±$\sqrt{(√5–1–2√√5–2)/8}$, ±$\sqrt{3–√5–√10√5–22)/8}$)/8}}, ±$\sqrt{(2+√2√5–2)/8}$, ±1/2).