Woah. Simply mind blowing from what can derive from one simple little theory!
Who knew the Pythagorean Theorum had so much more potential that many didn't even know about! :o
The only part that had me a bit confuzzled was:
"For example, look at the diagonal of a square ("d"). A regular side is d/sqrt(2), so the area becomes 1/2 d2. Our "area contant" is 1/2 in this case, if we want to use the diagonal as our line segment to be squared.
Now, use the entire perimeter ("p") as the line segment. A side is p/4, so the area is p2/16. The area factor is 1/16 if we want to use p2."
The whole area factor concept is hard to catch onto...
(the area becomes 1/2 d2)
(A side is p/4, so the area is p2/16. The area factor is 1/16 if we want to use p2.")
But overall, this entire article is Mathtastic!