Chaos can be found in everything, from the swirling currents of a stream to the swinging of a pendulum, to the orbits of stars. In the past, science has failed to describe chaotic situations successfully. But in the past century, a new science has risen to face the challenge.
Chaos Theory is a new science that tries to describe chaotic phenomena.
Fractals
Fractals are extremely complex images that are created with very simple equations. They have been found to mimic some natural phenomena very well. One of their most famous qualities is their self-similarity, a quality which can be demonstrated by using different levels of magnification.