Great icosidodecahedral prism

The great icosidodecahedral prism or giddip, is a prismatic uniform polychoron that consists of 2 great icosidodecahedra, 12 pentagrammic prisms, and 20 triangular prisms. Each vertex joins 1 great icosidodecahedron, 2 pentagrammic prisms, and 2 triangular prisms. As the name suggests, it is a prism based on the great icosidodecahedron.

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