For example, with two squares you can achieve up to 10 regions by choosing the right size and position of your squares.

Well done, looks like you and Dej Mar have proven that at least nm(m-1)+2 regions are possible. But how can you be sure the polygons cannot be arranged in a clever way to come up with even more regions?

Posted by JLo on 2006-09-07 13:24:35