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
(In reply to One possible Solution (visual)
Whoops! Sorry, have to take my Bravo back. You did do a good job of fooling me, though, but as Jer points out in a later post, your solution is flawed. When I print the two squares on separate sheets, superimpose them, and hold them up to the light, the pieces are congruent, but the new figure is a rectangle, not a square. An interesting dissection without rotation or reflection, nevertheless.
Edited on October 20, 2004, 6:19 pm
Posted by Richard
on 2004-10-20 00:12:02