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Mrs Perkins Quilt

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Blogger explores minimum L-shaped seams needed for Mrs. Perkins' Quilt puzzles

A math and quilting enthusiast writing on their personal blog set out to make a post about squarable numbers using Mrs. Perkins' Quilt, a classic puzzle by Henry Dudeney about dividing a square into the fewest possible smaller integer-sided squares. While working out how to actually sew the optimal solution, the author realized that certain arrangements require tricky L-shaped seams around corners, and got sidetracked investigating how many such L-seams are mathematically necessary for any optimal quilt of a given size.