Great icosidodecahedral prism

The treat 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 an 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:
 * (0, 0, ±($\sqrt{5}$–1)/2, ±1/2),
 * (±1/2, ±($\sqrt{2}$–1)/4, ±(3–$\sqrt{7–2√5}$)/4, ±1/2).