Small diretrosnub prismatosnub tetrishexacosidishexacosichoron

The small diretrosnub prismatosnub tetrishexacosidishexacosichoron, or saderspostudex, 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 small dodecicosahedra and 600 small ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each), 600 truncated icosahedra, 600 small rhombicosidodecahedra, and 3600 pentagrammic prisms.

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

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

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the small diretrosnub disnub decahecatonicosadishexacosichoron.