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 my earlier comment I attempted to describe how I might convert a polygon to either 1 or 2 orders above its current status.

I think however, I am really being asked to take x-gon and turn it into z-gon where |x-z| = any value in the one step (er ... let's not consider each slice of the knife as a step :-)    )

Posted by brianjn on 2006-09-24 23:03:56