I would get drunk so quickly...
poor guy :(, but maybe there are a bunch of irrational number left, he never ever has tried to compute ?
I have a friend who spent a considerable amount of time on the third one (while in high school) before learning about Galois theory.
I'll drink to that!
I prefer to waste time on infinitudes and number theory. But never have I ever tried to square the circle.
The four color problem is easy as hell. I proved that before I ever heard about it. Just think of it as, "What's the maximum number of colors you can make touch each other simultaneously?" If you don't you count corners, it's four. If you count corners, you just draw a pie and each piece touches the others in the center and you can have an infinite number.
Your argument counting corners is an excellent one, but your argument without corners isn't exactly rigorous...