Grand ditetrahedronary prismatocubidishecatonicosachoron

The grand ditetrahedronary prismatocubidishecatonicosachoron, or gadtapacady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 great icosidodecahedra, 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), and 1200 triangular prisms. Four great stellated dodecahedra, six great icosidodecahedra, eight cubes (or four compounds), and twelve triangular prisms join at each vertex.

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