Great ditrigonary hecatonicosicubihexacosichoron

The great ditrigonary hecatonicosicubihexacosichoron, or gidthicax, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplane, forming 120 compound of five cubes), 120 great dodecicosahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), six great dodecicosahedra, and six cubohemioctahedra join at each vertex.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.