Keywords: Shifted square tiling.svg Keller's cube-tiling conjecture true in the plane but now known to be false in dimensions greater than eight states that in any tiling of space by squares cubes or higher-dimensional hypercubes some of the tiles must meet face-to-face 2011-10-05 own David Eppstein cc-zero Files by User David Eppstein from en wikipedia Monohedral tilings Colorful squares |