Math Magic is a web site devoted to
original mathematical recreations. If you have a math puzzle, discovery, or observation, please e-mail me about it. You can also send answers to the problem of the month. |

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What are the smallest rectangles that can be tiled, with at most one square hanging off the side of each side? For many small polyominoes, one copy of the polyomino suffices. Here are the smallest known answers for other polyominoes with area 5 or less. What are the answers for larger polyominoes?

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For those polyominoes that can form overlap squares or rectangles, what sizes can they make? For example, here are some larger squares and rectangles that can be made:

You can see all the best known results here.

Submit your answers here.

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