[1] It has four cubic cells, 12 square faces, 16 edges, and 8 vertices.

It is also the complete bipartite graph K4,4, and the regular complex polygon 2{4}4, a generalized cross polytope.

[clarification needed] This configuration matrix represents the hemitesseract.

The rows and columns correspond to vertices, edges, faces, and cells.

The diagonal numbers say how many of each element occur in the whole hemitesseract.