Prismatointercepted prismatotesseractihexadecachoron

The prismatointercepted prismatotesseractihexadecachoron, or pinpith, is a nonconvex uniform polychoron that consists of 16 octahedra, 8 small cubicuboctahedra, 32 triangular prisms, and 24 octagonal prisms. One octahedron, two small cubicuboctahedra, two triangular prisms, and four octagonal prisms join at each vertex.

Vertex coordinates
The vertices are the same as those of the regiment colonel, the small rhombated tesseract.