Solution

(related to Problem: The Chinese Chessboard)

Eighteen is the maximum number of pieces. I give two solutions. The numbered diagram is so cut that the eighteenth piece has the largest area — eight squares — that is possible under the conditions. The second diagram was prepared under the added condition that no piece should contain more than five squares.

a293

No. $74$ in the Canterbury Puzzles shows how to cut the board into twelve pieces, all different, each containing five squares, with one square piece of four squares.


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References

Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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