Prismatocubintercepted tesseract

The prismatocubintercepted tesseract, or picnut, is a nonconvex uniform polychoron that consists of 8 great cubicuboctahedra, 32 triangular prisms, and 24 cubes. Three great cubicuboctahedra, three triangular prisms, and three cubes join at each vertex.

It also has 8 cubes and 16 tetrahedra as pseudofacets.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the great tesseractitesseractihexadecachoron.