The following video is so unbelievably awesome I have no words to describe it... all I can say without spoiling the experience is that you're in for a quick four minutes of mathematical and artistic beauty that will inspire you to think for days on end.
Just try to keep up...
Oh, and I want this chick to mother my children :)
And if you want to play with some more math, trying messing around with a Möbius strip,
or do some Möbius Transformations over the Reimann sphere.