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

I believe the equation, where P is the number of regions the plane is partitioned, is: 

P = n*(m)*(m-1) + 2

For two squares this is 4*(2)*(2-1)+2 = 10.

Edited on September 6, 2006, 3:13 pm

Posted by Dej Mar on 2006-09-06 15:08:19