06-23-2026, 10:04 AM
MacMahon Squares by [wikipedia]
Summary
MacMahon Squares are a fascinating mathematical puzzle created by the British mathematician Percy Alexander MacMahon in 1921. The puzzle consists of 24 unique square tiles, each divided into four triangular parts and colored using three colors in every possible way. The challenge is to arrange all the pieces into a rectangle so that touching edges always have matching colors, turning a simple coloring idea into a problem of logic, symmetry, and combinatorics.
Beyond being a fun puzzle, MacMahon Squares became an important example of edge-matching problems, connecting recreational mathematics with ideas later studied in computer science and computational complexity. It shows how a simple question—“how can colored pieces fit together?”—can reveal deep mathematical structures hidden inside patterns and symmetry.
ARTICLE
Summary
MacMahon Squares are a fascinating mathematical puzzle created by the British mathematician Percy Alexander MacMahon in 1921. The puzzle consists of 24 unique square tiles, each divided into four triangular parts and colored using three colors in every possible way. The challenge is to arrange all the pieces into a rectangle so that touching edges always have matching colors, turning a simple coloring idea into a problem of logic, symmetry, and combinatorics.
Beyond being a fun puzzle, MacMahon Squares became an important example of edge-matching problems, connecting recreational mathematics with ideas later studied in computer science and computational complexity. It shows how a simple question—“how can colored pieces fit together?”—can reveal deep mathematical structures hidden inside patterns and symmetry.
ARTICLE
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