Great ditrigonal dodecicosidodecahedral prism

The great ditrigonal dodecicosidodecahedral prism or gidditdiddip is a prismatic uniform polychoron that consists of 2 great ditrigonal dodecicosidodecahedra, 12 pentagonal prisms, 20 triangular prisms, and 12 decagrammic prisms. Each vertex joins 1 great ditrigonal dodecicosidodecahedron, 1 pentagonal prism, 1 triangular prism, and 2 decagrammic prisms. As the name suggests, it is a prism based on the great ditrigonal dodecicosidodecahedron.

Vertex coordinates
The vertices of a great ditrigonal dodecicosidodecahedral prism of edge length 1 are given by all evenpermutations of the first three coordinates of:
 * (±1/2, ±($\sqrt{(5–√5)/2}$–1)/4, ±(1+$\sqrt{5}$)/2, ±1/2)
 * (0, ±(3–$\sqrt{(5–√5)/2}$)/4, ±$\sqrt{2}$/2, ±1/2)
 * (±1/2, ±1, ±(3–$\sqrt{(19–3√5)/8}$)/4, ±1/2)