Great diretrosnub hexahexacosichoron

The great diretrosnub hexahexacosichoron, or gadroshax, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (falling into pairs in the same hyperplanes to form 600 small retrosnub disoctahedra), 1200 regular icosahedra (forming 600 snub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), and 1200 great dodecicosahedra (forming 600 compounds of two).

Two great icosahedra (two compounds), two icosahedra (two compounds), eight octahemioctahedra (eight compounds), and ten great dodecicosahedra (ten compounds) join at each vertex.

This polychoron can be obtained as the blend of 10 great dipentary dishecatonicosihexacosihecatonicosachora. In the process, some of the octahemioctahedron cells blend out.