Small diretrosnub prismatosnubdisnub hexishexacosichoron

The small diretrosnub prismatosnubdisnub hexishexacosichoron, or sadrosposid shax, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra and 600 great dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 truncated icosahedra, 600 small dodecicosidodecahedra, 600 icosidodecadodecahedra, 3600 pentagrammic prisms, and 6000 triangular prisms.

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

It can be obtained as the blend of 5 small invertidipentary hecatonicosihexacosidishecatonicosachora and 5 small dipentary disprismatotrishecatonicosihexacosichora. 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.