Describe how every simple polygon can be tranformed into any other simple polygon with the same area by dissecting it with straight cuts and rearranging the pieces.

(In reply to problem with solution by Art M)

You are making a valid point. When I posted the puzzle I did not consider it as part of the problem to measure up a certain distance. In that sense, it would be possible e.g. to construct a rectangle with sides l/Pi and l*Pi out of the original polygon, which of course is not possible with your (stricter) understanding of the puzzle which requires all lengths to be ruler-and-compass-constructable. So I agree that your solution is in a way more practical than mine.

Posted by JLo on 2006-10-24 08:16:46