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.

It can be constructed as a blend of six square-octagrammic duoprisms.

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