Tiling a Checker Rectangle
Imagine you have an m × n rectangle R and lots of dominoes (a domino is a 1 × 2 rectangle). It is easy to find the conditions under which R can be tiled by dominoes, i.e., covered by dominoes, without any dominoes overlapping or sticking out over the boundary of R. Indeed, R can be tiled by dominoes if and only if mn is even (prove it!).
KeywordsRotational Symmetry Unit Cube Cyclic Permutation Lower Left Corner Symmetric Block
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