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:
“You are all alike, you respectable people. You can’t tell me the bursting strain of a ten-inch gun, which is a very simple matter; but you all think you can tell me the bursting strain of a man under temptation. You daren’t handle high explosives; but you’re all ready to handle honesty and truth and justice and the whole duty of man, and kill one another at that game. What a country! What a world!”
—George Bernard Shaw (1856–1950)
“I want that head so sanitary and squared away that the Virgin Mary herself would be proud to go in there and take a dump.”
—Stanley Kubrick (b. 1928)
“And New York is the most beautiful city in the world? It is not far from it. No urban night is like the night there.... Squares after squares of flame, set up and cut into the aether. Here is our poetry, for we have pulled down the stars to our will.”
—Ezra Pound (1885–1972)