Small diretrosnub tetrishexacositrihexacosichoron

The small diretrosnub tetrishexacositrihexacosichoron, or saderstuxtix, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (some of which lie in the same hyperplanes, forming 600 small retrosnub disoctahedra), 1200 icosahedra (forming 600 snub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 small dodecicosahedra, 600 rhombicosahedra, and 600 small rhombidodecahedra.

Two great icosahedra (two compounds), two icosahedra (two compounds), eight octahemioctahedra (eight compounds), five small dodecicosahedra, five rhombicosahedra, and five small rhombidodecahedra join at each vertex.

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

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