Grand ditetrahedronary cubiprismatodishecatonicosachoron

The grand ditetrahedronary cubiprismatodishecatonicosachoron, or gadtacapady, 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), 1200 triangular prisms, and 120 great dodecicosidodecahedra. Four great stellated dodecahedra, eight cubes (or four compounds), twelve triangular prisms, and twelve great dodecicosidodecahedra join at each vertex.

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