Fractals  shapes with selfsimilarity and fractional dimensions
What Are Fractals?
The Fractal Foundation has a wonderful onepage description with examples from nature. See the .pdf file and/or the address given below. http://fractalfoundation.org/resources/whatarefractals/


_Jonathan Wolfe earned his doctorate in visual neuroscience from the
University of Pennsylvania in 1996. He first discovered the beauty of
fractals while a student at the Albuquerque Academy in 1987, and he has
been eagerly teaching people about fractals ever since. He is the Executive Director of the Fractal Foundation.
Take a look at the Fractal Foundation website. One of his fractal movies, Glomey, can be seen on the Mandelbrot web page. If you are interested, you can do a whole course yourself online by following this link: http://fractalfoundation.org/OFC/OFCindex.htm To download free fractal software of several kinds, go here. 