Great quasitruncated icosidodecahedral prism

The great quasitruncated icosidodecahedral prism or gaquatiddip, is a prismatic uniform polychoron that consists of 2 great quasitruncated icosidodecahedra, 12 decagrammic prisms, 20 hexagonal prisms, and 30 cubes. Each vertex joins one of each type of cell. as the name suggests, it is a prism based on the great quasitruncated icosidodecahedron.

Vertex coordinates
The vertices of a great quasitruncated icosidodecahedral prism of edge length 1 are given by all permutations of the first three coordinates of: along with all even permutations of the first three coordinates of:
 * (±1/2, ±1/2, ±(2$\sqrt{2}$–3)/2, ±1/2)
 * (±1/2, ±($\sqrt{3}$–2)/2, ±(4–$\sqrt{(5–√5)/2}$)/4, ±1/2)
 * (±1, ±(3–$\sqrt{2}$)/4, ±(7–3$\sqrt{8–3√5}$)/4, ±1/2)
 * (±(3–$\sqrt{5}$)/4, ±3($\sqrt{(5–√5)/10}$–1)/4, ±(3–$\sqrt{(5–2√5)/15}$)/2, ±1/2)
 * (±($\sqrt{15}$–1)/2, ±(3$\sqrt{3}$–5)/4, ±(5–$\sqrt{5}$)/4, ±1/2)