Small diretrosnub prismatosnub heptishexacosichoron

The small diretrosnub prismatosnub heptishexacosichoron, or sadrosepshix, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 great dodecahedra, 4800 octahemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of two), 1200 small ditrigonal dodecicosidodecahedra (forming 600 compounds of two), 600 icosidodecadodecahedra, 600 small rhombicosidodecahedra, 600 truncated icosahedra, and 3600 pentagrammic prisms.

One great icosahedron, one great dodecahedron, eight octahemioctahedra (eight compounds), ten small ditrigonal dodecicosidodecahedra (ten compounds), five icosidodecadodecahedra, five small rhombicosidodecahedra, five truncated icosahedra, and five pentagrammic prisms join at each vertex.

It can be obtained as the blend of 5 small dipentary trishecatonicosihecatonicosihexacosichora and 5 small 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 small diretrosnub disnub decahecatonicosadishexacosichoron.