Take a square and cut it as you wish into a finite number of pieces. Rearrange the pieces without rotating or flipping any of them to form an new square that is rotated 45-degrees compared to the original.

My solution cuts the square into only six pieces.  I also found it was easier to start with a 1 by 2 rectangle, which the six pieces can also form.

Posted by Brian Smith on 2004-10-21 12:35:34