Disprismatotesseract

The diprismatotesseract, or dippit, is a nonconvex uniform polychoron that consists of 32 triangular prisms, 24 cubes, and 8 small cubicuboctahedra. Three triangular prisms, three cubes, and three small cubicuboctahedra join at each vertex.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the small disprismatotesseractihexadecachoron.