This first series of fractal videos is a great program called "Hunting The Hidden Dimesion, which first aired on NOVA, a PBS program. This show on fractals explores not only the discovery of fractals, but more importantly the implications that fractals have on our understanding of our world & universe. This program highlights contemporary uses for fractals in modern medical fields & research, engineering, weather, scientific implications etc. Well worth watching if you want to gain a better appreciation and understanding of what fractals are.
Following that video series there are a couple of lectures by Benoit Mandelbrot, who coined the term "fractal" and is credited with discovering fractals while working at IBM. Last in this current video series is a nice three part video by a math professor showing some visual, mathematical demonstrations of fractals. He offers a good laymans look at the mathematical aspect of fractals. If you take the time to watch these series, and the ones on the previous page, I am positive you will walk away amazed, and have a better understanding on what fractals really are, and their vast implications relative to nature, science & mathematics. Enjoy!