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Rabbit Hole: Minimum L-seams

a day ago
  • Mrs. Perkins' Quilt is a math problem that involves cutting a square of side n into smaller integer-sided squares using the fewest squares possible.
  • The author explores the minimum number of L-shaped seams required for optimal quilts of side n, defining a sequence a(n) for n from 1 to 17.
  • Data shows L-seam counts for various n, with values ranging from 0 to 2, and notes that certain n have multiple quilts with varying seam counts.
  • The post poses unanswered questions about higher L-seam requirements, distribution of quilt complexity, and potential related sequences.
  • References include sources like Squaring.net, Henry Dudeney's original problem, and OEIS sequence A005670.