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    Home»Science»Math Puzzle: A disassembly job
    Science

    Math Puzzle: A disassembly job

    By AdminApril 14, 2026
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    Math Puzzle: A disassembly job


    Diagram shows an eight-by-eight square grid with the letter A in the upper left corner, B in the lower left, D in the upper right, C in the lower right, and A, B, C and D in consecutive cells of the fifth row, from left to right, starting in the fifth column.

    Divide this grid into four identical, nonoverlapping shapes along the square boundaries. Each shape must contain two of the same letters.

    There are four different solutions, which differ only slightly from one another.

    Diagram shows four iterations of the grid and letters in the puzzle. Each grid is overlaid with one irregular shape rotated four times to fill the entire square.

    The first solution shown has a shape that stretches across seven squares at the top and that has a portion that goes down five squares from below the second square in the top row, then four more squares to the right and then one up. The second solution shown has a shape that has six squares across the top, two squares starting from the left side in the row just below that and a segment that extends four squares down from the rightmost square in the latter portion, then three across and then one up. The third solution shown extends five squares across the top and includes two squares below the leftmost square in that row, along with a segment that goes five squares down from the second leftmost square in the top row, then three more to the right and then one up. The fourth solution shown starts with a segment that goes five across the top and has a second portion that goes down two squares from the starting point, then right one square and then down four, as well as another segment that goes three squares right from the second square from the bottom in the vertical portion and then up one.

    We’d love to hear from you! E-mail us at games@sciam.com to share your experience.

    This puzzle originally appeared in Spektrum der Wissenschaft and was reproduced with permission. It was translated from the original German version with the assistance of artificial intelligence and reviewed by our editors.



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