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
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.
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Posted by SteveH
on 2004-10-21 14:07:32 |
re(2): Oops!
