Great dirhombicosidodecahedral prism

The great dirhombicosidodecahedral prism or gidriddip is a prismatic uniform polychoron that consists of 2 great dirhombicosidodecahedra, 24 pentagrammic prisms, 40 triangular prisms, and 60 cubes (the latter three of these form pairs in the same hyperplane). Each vertex joins 1 great dirhombicosidodecahedron,2 pentagrammic prisms, 2 triangular prisms, and 4 cubes. As the name suggests, it is a prism based on the great dirhombicosidodecahedron.

Vertex coordinates
A great dirhombicosidodecahedral prism of edge length 1 has vertex coordinates given by all even permutations of:
 * (±$\sqrt{2}$, ±($\sqrt{5}$), ±($\sqrt{2}$, ±1/2),
 * (0, ±$\sqrt{2}$/2, ±$\sqrt{5}$/2, ±1/2),
 * (±$\sqrt{2}$, ±$\sqrt{2}$)/8}}, ±$\sqrt{3}$, ±1/2).