Benoit Mandelbrot, the pioneer of the theory of fractals, recently spoke at a TED event.  Fractals are mathematical objects that exhibit infinitely repeating complexity.  That definition may be  hard to grasp, but the graphical representations of fractals aren’t, as seen by the picture above.

Mandelbrot is able to describe his work in layman’s terms.  View Mandelbrot’s talk on the TED website.

You can also view a cool video of animated fractals in this YouTube video: