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Math Puzzle: A disassembly job
2026-04-14 · via Scientific American
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.

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.