Great tritrigonary dishecatonicosiprismatocubidishexacosichoron

The great tritrigonary dishecatonicosiprismatocubidishexacosichoron, or getitid hipcadex, 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, 120 truncated great icosahedra, 600 cubohemioctahedra, 120 great dodecicosidodecahedra, and 720 decagrammic prisms. Two cubes (one compound), one tetrahedron, three truncated great icosahedra, three cubohemioctahedra, three great dodecicosidodecahedra, and six decagrammic prisms join at each vertex.

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