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No Rotation Dissection (Posted on 2004-10-19) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Brian Smith    
Rating: 3.3333 (9 votes)

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re(2): Oops! | Comment 21 of 25 |
(In reply to re: Oops! by Richard)

The second figure isn't a square, but if you compute the upper right side(based on a 1-unit square), the length is 3sqrt(2)/4 (as you pointed out). So the area would be 1.125 if this were the side of a square (or a different number if I used one of the sides). Anyway, a good lesson for me to remember not to use visuals as proofs.
  Posted by SteveH on 2004-10-21 14:07:32

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