Simple Squared Squares
A "simple" squared square is one where no subset of the squares forms a rectangle or square, otherwise it is "compound". The smallest simple perfect squared square was discovered by A. J. W. Duijvestijn using a computer search. His tiling uses 21 squares, and has been proved to be minimal. The smallest perfect compound squared square was discovered by T.H. Willcocks in 1946 and has 24 squares; however, it was not until 1982 that Duijvestijn, Pasquale Joseph Federico and P. Leeuw mathematically proved it to be the lowest-order example.
The smallest simple squared square forms the logo of the Trinity Mathematical Society.
Read more about this topic: Squaring The Square
Famous quotes containing the words simple, squared and/or squares:
“Our manners have been corrupted by communication with the saints. Our hymn-books resound with a melodious cursing of God and enduring Him forever. One would say that even the prophets and redeemers had rather consoled the fears than confirmed the hopes of man. There is nowhere recorded a simple and irrepressible satisfaction with the gift of life, any memorable praise of God.”
—Henry David Thoreau (1817–1862)
“Dreams are toys.
Yet for this once, yea, superstitiously,
I will be squared by this.”
—William Shakespeare (1564–1616)
“An afternoon of nurses and rumours;
The provinces of his body revolted,
The squares of his mind were empty,
Silence invaded the suburbs,”
—W.H. (Wystan Hugh)