The Banach-Tarski Paradox

The Banach-Tarski Paradox A mouthful no doubt! This week we go over just how a mathematical universe differs from a physical one on the basis of the Axiom of Choice. More interestingly, if we exploit this paradox, we can clone anything we want with the exact same properties as the original. As per Andrew's note, you can see an example of a fractal here. Really amazing stuff to say the least. Barbarian Horde is by Hans Zimmer