Grand ditetrahedronary cubihecatonicosachoron

The grand ditetrahedronary cubihecatonicosachoron, or gadtachi, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes) and 120 great rhombidodecahedra. Eight cubes (or four compounds) and twelve great rhombidodecahedra join at each vertex.

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