Hexadecintercepted prismatotesseractihexadecachoron

The hexadecintercepted prismatotesseractihexadecachoron, or hinpith, is a nonconvex uniform polychoron that consists of 8 cuboctahedra, 16 octahemioctahedra, 24 cubes, and 16 truncated octahedra. One cuboctahedron, two octahemioctahedra, two cubes, and four truncated octahedra join at each vertex.

Vertex coordinates
The vertices are the same as those of the regiment colonel, the rectified icositetrachoron.