Can Math Be Beautiful?

Here's an amazing video clip of a panel at last year's World Science Festival about the beauty of mathematics.  I'm definitely not the best mathematician, but I am a math groupie, and I have experienced my mind being blown by a cool proof.  During a short course in college I learned about the proof showing that the square root of two is irrational.  I don't remember how to recreate the proof, but I do remember that it made my brain freeze.