According to the wikipedia, a fractal is: A geometric object which is rough or irregular on all scales of length, and so which appears to be ‘broken up’ in a radical way. Some of the best examples can be divided into parts, each of which is similar to the original object. Fractals are said to possess infinite detail, and they may actually have a self-similar structure that occurs at different levels of magnification.
I think fractals are really cool. The infinite nature of them is amazing. Blatte’s Fractals showcases a variety of fractals. The fractal to your left is entitled, Law of Ice.