Great diretrosnub snub prismatodisnub pentishecatonicositetrishexacosichoron

The great diretrosnub snub prismatodisnub pentishecatonicositetrishexacosichoron, or gadersospid sphitux, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 quasirhombicosidodecahedra, 600 great dodecicosahedra, 6000 triangular prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

One great icosahedron and one small stellated dodecahedron (two compounds), eight octahemioctahedra (eight compounds), five quasirhombicosidodecahedra, five great dodecicosahedra, five triangular prisms, and five truncated tetrahedra (one compound and four single) join at each vertex.

It can be obtained as the blend of 5 great dipentary hecatonicosidishexacosichora and 5 great dipentary trishecatonicosiprismatohexacosichora. 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.