The tesseract, like all hypercubes, tessellates Euclidean space. The 16-cell tessellates 4-dimensional space as the 16-cell honeycomb. The 24-cell tessellates 4-dimensional space as the 24-cell honeycomb. The tesseract tessellates 4-dimensional space as the tesseractic honeycomb. Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less.