Small snubspinosnub tetrishexacosichoron

The small snubspinosnub tetrishexacosichoron, or sosenstux, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 2400 cuboctahedra and 2400 cubohemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of one of each), 600 octahemioctahedra (forming 120 icosidisicosahedra), 600 small rhombidodecahedra, and 600 rhombicosahedra.

One great icosahedron, one icosahedron, four cuboctahedra and four cubohemioctahedra (eight compounds), one octahemioctahedron (one compound), five small rhombidodecahedra, and five rhombicosahedra join at each vertex.

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

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