Mrs. Perkins's Quilt
When the constraint of all the squares being different sizes is relaxed, a squared square such that the side lengths of the smaller squares do not have a common divisor larger than 1 is called a "Mrs. Perkins's quilt". In other words, the greatest common divisor of all the smaller side lengths should be 1.
The Mrs. Perkins's quilt problem is to find a Mrs. Perkins's quilt with the fewest pieces for a given n × n square.
Read more about this topic: Squaring The Square
Famous quotes containing the words perkins and/or quilt:
“I have learned more about love, selflessness and human understanding in this great adventure in the world of AIDS than I ever did in the cut-throat, competitive world in which I spent my life.”
—Anthony Perkins (1932–1992)
“... probably all of the women in this book are working to make part of the same quilt to keep us from freezing to death in a world that grows harsher and bleaker—where male is the norm and the ideal human being is hard, violent and cold: a macho rock. Every woman who makes of her living something strong and good is sharing bread with us.”
—Marge Piercy (b. 1936)