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. In the process some of the cubes blend out, while the octagrammic prisms blend into great rhombihexahedra.

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