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I expanded the definition, then realized the polytope context may be incomplete, so I made it a section, although it looks a little funny without any nonpolytope context given. Cell complex seems to be about algebraic topology, but unsure if it should even be under a (geometry) subheading here! I leave it to anyone else to expand or remove content. Tom Ruen 06:37, 14 October 2006 (UTC)
edge
editCaption: The cubic honeycomb (as shown by this 2×2×2 portion) has four cubic cells per edge.
This looks like is, a 2×2×2 cube. Each edge of the cube has (duh) just 2 cubic cells, not 4. If you haven't read Edge (geometry) and figured out that the only edges that share four cells are the internal ones, completely hidden by the opaque cells, it makes no sense. (BTW, in the Cubic honeycomb article]] the same figure is captioned "Cubic honeycomb" with no "portion" qualifier.)
After careful reading of Edge (geometry), I figured it out. I uploaded a modified version of the tesseract image with 2 edges highlighted so I could refer to them in an expanded explanation of edges in a 4-polytope, but I haven't been able to make a smaller version to fit in the table there. I could do it at home, but the whole procedure is proving more complicated than I expected and I don't have the time now. --Thnidu (talk) 05:42, 8 February 2013 (UTC)
