Small disnub prismatosnub tetrishexacosidishexacosichoron

The small disnub prismatosnub tetrishexacosidishexacosichoron, or sadsapostuxdex, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (some of which lie in the same hyperplanes, forming 600 small retrosnub disoctahedra), 600 great dodecahedra, 4800 cuboctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 1200 small ditrigonal dodecicosidodecahedra (forming 600 compounds of two), and 3600 pentagrammic prisms.

Two great icosahedra (two compounds), one great dodecahedron, eight cuboctahedra (eight compounds), five rhombidodecadodecahedra, ten small ditrigonal dodecicosidodecahedra (ten compounds), and five pentagrammic prisms join at each vertex.

It can be obtained as the blend of 5 small dipentary dishecatonicosihexacosidishecatonicosachora and 5 small dipentary hexacosiprismatodishecatonicosachora. In the process, some of the cuboctahedron cells blend out.

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