Great tritrigonary prismatodishexacosicubihecatonicosachoron

The great tritrigonary prismatodishexacosicubihecatonicosachoron, or getit podexchi, 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 quasitruncated great stellated dodecahedra, 600 cuboctahedra, and 720 decagrammic prisms. Two cubes (one compound), one tetrahedron, three quasitruncated great stellated dodecahedra, three cuboctahedra, 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.