Math Puzzle: A disassembly job

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The diagram shows an eight x 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 in the fifth row, from left to right, starting with the fifth column.

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

There are four different solutions, which differ only slightly from each other.

The diagram shows four iterations of the grid and letters in the puzzle. Each grid is covered with an irregular shape rotated four times to fill the entire square.

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

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