Great dispinosnub tetrishexacositetrishexacosichoron

The great dispinosnub tetrishexacositetrishexacosichoron, or gedanstuxtux, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra and 600 great icosahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 1200 great dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 600 great dodecicosahedra and 600 great icosicosidodecahedra (forming 600 compounds of one of each), and 600 great rhombidodecahedra.

One small stellated dodecahedron and one great icosahedron (two compounds), two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five rhombidodecadodecahedra, five great dodecicosahedra and five great icosicosidodecahedra (ten compounds), and five great rhombidodecahedra join at each vertex.

It can be obtained as the blend of 5 great capped dipentary tetrishecatonicosihexacosichora and 5 great dipentary hecatonicosihexacositrishecatonicosachora. In the process, some of the cubohemioctahedron cells blend out.

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