In this paper, we shall study the tiling of space by congruent cubes. By saying that the cubes form a tiling of space, we mean that they cover space without overlapping. We will assume that the edges of the cubes are parallel to the coordinate axes. There is no loss of generality in using unit cubes, and we shall usually do so.
KeywordsParity Class Lattice Point Unit Cube Oblique Section Cube Face
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