Mrs Perkins’s Quilt (2017)

In the world of patchwork quilts, the famous Mrs. Perkins’s Quilt Puzzle challenges enthusiasts to determine the smallest number of square portions that could compose a silk quilt made of 169 square pieces. The answer seems to lie in an arrangement of 11 squares within a larger square of 13. This conundrum dates back to 1907 and continues to spark interest and research today. Mathematicians like Richard K. Guy have delved deep into the world of squared squares and quilts, with ongoing discoveries being made thanks to computer programs and hand analysis. The quest for optimal quilts is ongoing and intricate, revealing surprising solutions along the way.

http://www.squaring.net/quilts/mrs-perkins-quilts.html

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