Great spinoprismatotesseractioctachoron

The great spinoprismatotesseractioctachoron, or gnipto, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra and 32 cubes. Three great rhombihexahedra and four cubes join at each vertex.

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