Small diretrosnub prismatosnub hexishexacosichoron

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

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

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