Actually, I agree. I don't want to think that my conclusion is correct. If it is, it's too obvious for people not to have noticed. I keep thinking I missed a step or fumbled over logic. That has to be it. Only logical explanation. Period.
If there was a big country around which there were many smaller countries. We could test out the theory to prove that it holds up well under pressure. But one constant question remaining is: who was the original thinker of the theorem and how did the person think of it.