Grand ditetrahedronary cubidishecatonicosachoron

The grand ditetrahedronary cubidishecatonicosachoron, or gadtacady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), and 120 quasirhombicosidodecahedra. Six great icosidodecahedra, eight cubes (or four compounds), and twelve quasirhombicosidodecahedra join at each vertex.

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