Great diretrosnub prismatosnub tetrishexacosidishexacosichoron

The great diretrosnub prismatosnub tetrishexacosidishexacosichoron, or gaderspostudex, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 4800 octahemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 great dodecicosahedra and 600 great ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each), 600 truncated great icosahedra, 600 quasirhombicosidodecahedra, and 3600 pentagonal prisms.

One great icosahedron, one icosahedron, eight octahemioctahedra (eight compounds), five great dodecicosahedra and five great ditrigonal dodecicosidodecahedra (ten compounds), five truncated great icosahedra, five quasirhombicosidodecahedra, and five pentagonal prisms join at each vertex.

It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosihecatonicosachora and 5 great dipentary prismatodishecatonicosihecatonicosihexacosichora. 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.