Grand ditetrahedronary prismatocubihexacosihecatonicosachoron

The grand ditetrahedronary prismatocubihexacosihecatonicosachoron, or gadtap caxhi, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 great icosidodecahedra, 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), and 720 pentagrammic prisms. Four tetrahedra, six great icosidodecahedra, 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.