Skewverted prismatotristesseract

The skewverted prismatotristesseract, or kaviptit, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra, 8 small rhombihexahedra, 8 cuboctatruncated cuboctahedra, and 32 hexagonal prisms. One great rhombihexahedron, one small rhombihexahedron, two cuboctatruncated cuboctahedra, and two hexagonal prisms join at each vertex.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the small skewverted prismatohexadecadisoctachoron.