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)
I tried putting this together and it doesn't work. (Am I wrong here? I'd like to see a second picture.)
There are no 45 degree segments which are rational with the sides of the square. This means you can't fit them.
I fooled myself a couple of times when I started with a 12x12 square on graph paper. The target square is close 8.5 digonals on a side. In fact, the area of this 'rotated' square is 144.5 units.
Posted by Jer
on 2004-10-20 11:36:29