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 dodecicosidodecahedral prism of edge length 1 has vertex coordinates given by all even permutations of:
 * $$\left(±\sqrt{\frac{\sqrt5-1-2\sqrt{\sqrt5-2}}{2}},\,±\sqrt{\frac{3-\sqrt5-\sqrt{10\sqrt5-22}}{8}},\,±\sqrt{\frac{2+\sqrt{2\sqrt5-2}}{8}},\,±\frac12\right),$$
 * $$\left(0,\,±\frac{\sqrt{3-\sqrt5}}{2},\,±\frac{\sqrt{\sqrt5-1}}{2},\,±\frac12\right),$$
 * $$\left(±\sqrt{\frac{3-\sqrt5+\sqrt{10\sqrt5-22}}{8}},\,±\sqrt{\frac{2-\sqrt{2\sqrt5-2}}{8}},\,±\sqrt{\frac{\sqrt5-1+2\sqrt{\sqrt5-2}}{8}},\,±\frac12\right).$$