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A puzzle that involves tiles (or the concept of tiles) in the shape of 2x1 rectangles, divided into 2 squares, each containing 0 to 6 spots. It may require knowledge of general rules of the game, Dominos, or it may simply use the number of spots, on the tiles, as clues for a solution.
13
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One rectangle, indivisible
So we know that each horizontal split is prevented by at least two (vertical) dominoes. … Since there are $m-1$ such splits, there must be at least $2m-2$ vertical dominoes, and since there are $2m$ dominoes in total, there can be at most $2$ horizontal dominoes, which are not enough to prevent …