Small ditetrahedronary cubihexacosidishecatonicosachoron

The small ditetrahedronary cubihexacosidishecatonicosachoron, or sadticaxady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 600 tetrahedra, 120 dodecahedra, and 120 small rhombicosidodecahedra. Eight cubes (or four compounds), four tetrahedra, four dodecahedra, and twelve small rhombicosidodecahedra join at each vertex.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.