Consider a standard $8\times 8$ chessboard where a pawn is placed on each of the squares $d1,d2,d3,d4$ . Dissect the board into $4$ congruent pieces (reflections are allowed) such that each piece contains exactly one pawn.
Dissection of a chess board into 4 congruent pieces
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combinatorics
geometry
recreational-mathematics
puzzle
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0@Greg: Care to post that as an answer? – 2013-01-02
1 Answers
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I think growing spirals from each corner simultaneously does the trick.
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2I think this problem goes back to Dudeney's Amusements in Mathematics. – 2013-01-04