Great tritrigonary prismatodishexacosicubidishecatonicosachoron

The great tritrigonary prismatodishexacosicubidishecatonicosachoron, or getitpid xacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 600 tetrahedra, 720 pentagonal prisms, 120 great ditrigonal dodecicosidodecahedra, 600 cubohemioctahedra, and 120 great quasitruncated icosidodecahedra. Two cubes (one compound), one tetrahedron, three pentagonal prisms, three great ditrigonal dodecicosidodecahedra, three cubohemioctahedra, and six great quasitruncated icosidodecahedra join at each vertex.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the great tritrigonary hexacositrishecatonicosachoron.