Great diretrosnub tetrishexacositrihexacosichoron

The great diretrosnub tetrishexacositrihexacosichoron, or gaderstuxtix, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (falling into pairs in the same hyperplanes, forming 600 small retrosnub disoctahedra), 1200 icosahedra (forming 600 snub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 great dodecicosahedra, 600 rhombicosahedra, and 600 great rhombidodecahedra.

Two great icosahedra (two compounds), two icosahedra (two compounds), eight octahemioctahedra (eight compounds), five great dodecicosahedra, five rhombicosahedra, and five great rhombidodecahedra join at each vertex.

It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosihecatonicosachora and 5 great based dipentary hexacositetrishecatonicosachora. In the process, some of the octahemioctahedron cells blend out.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the great diretrosnub disnub decahecatonicosadishexacosichoron.