I never cease to be amazed by Fractals!

From dictionary.com

frac·tal (frktl)
n.
A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry. Fractals are used especially in computer modeling of irregular patterns and structures in nature.

Fractals are truly the ART of mathematics. There are a number of formulas which  produce fractals. Each formula produces a different type of fractal. I've heard that a computer repeats that formula millions of times to produce a small fractal image. And the thing that amazes me the most, is that even though an equation produces a certain TYPE of fractal, it NEVER REPEATS THE SAME EXACT FRACTAL PATTERN TWICE! Fractals are like snowflakes, each one totally new.