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.

(In reply to Solution (really!) by Bryan)

http://www.mohawk.mtrsd.k12.ma.us/site/dept/math/jgalvagni/norotdiss.jpg

I just had to make a picture to see this one.  Now to make a jigsaw puzzle for my students

-Jer

Posted by Jer on 2004-10-22 16:20:39