Grand ditetrahedronary cubiprismatohecatonicosachoron

The grand ditetrahedronary cubiprismatohecatonicosachoron, or gadtacphi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), and 720 pentagrammic prisms. Four great stellated dodecahedra, eight cubes (or four compounds), and twelve pentagrammic prisms join at each vertex.

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