Great disnub dishexacosiprismatosnub tetrishexacosichoron

The great disnub dishexacosiprismatosnub tetrishexacosichoron, or guds dexpustix, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 1200 icosahedra (falling into pairs in the same hyperplanes, forming 600 snub disoctahedra), 4800 cuboctahedra (forming 2400 compounds of two), 600 rhombicosahedra, 600 great ditrigonal dodecicosidodecahedra and 600 great dodecicosahedra (forming 600 compounds of one of each), and 3600 pentagonal prisms.

One great icosahedron, two icosahedra (two compounds), eight cuboctahedra (eight compounds), five rhombicosahedra, five great ditrigonal dodecicosidodecahedra and five great dodecicosahedra (ten compounds), and five pentagonal prisms join at each vertex.

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

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