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.

Jer you are, of course, right. I should have worked out the measurements before posting. On a 1x1 square, my "solution" would have an area of about 1.12 sq units (except that it isn't actually a square). It sure looked close in Visio, though.

 

Oh well, at least it makes a nice optical illusion.

Back to the drawing board.

 

Posted by SteveH on 2004-10-20 13:57:47