Great icosicosidodecahedral prism

The great icosicosidodecahedral prism or giidip is a prismatic uniform polychoron that consists of 2 great icosicosidodecahedra, 12 pentagonal prisms, 20 triangular prisms, and 20 hexagonal prisms. Each vertex joins 1 great icosicosidodecahedron, 1 pentagonal prism, 1 triangular prism, and 2 hexagonal prisms. As the name suggests, it is a prism based on the great icosicosidodecahedron.

Vertex coordinates
The coordinates of a great icosicosidodecahedral prism with unit edge length are given by all even permutations of the first three coordinates of:
 * $$\left(0,\,±\frac{3-\sqrt5}{4},\,±\frac{\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\frac12,\,±1,\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt5-1}{2},\,±\frac{1+\sqrt5}{4},\,±\frac12\right).$$