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:
“Human life consists in mutual service. No grief, pain, misfortune, or “broken heart,” is excuse for cutting off one’s life while any power of service remains. But when all usefulness is over, when one is assured of an unavoidable and imminent death, it is the simplest of human rights to choose a quick and easy death in place of a slow and horrible one.”
—Charlotte Perkins Gilman (1860–1935)
“... 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)