A simple search in your favorite search engine will attest to the sudden popularity of fractal art. That said, many people are often shocked to learn that these visually stunning images are created by iterating a simple complex formula to create a fractal object. A fractal object is any geometric object that posses the property of self-similarity. Self-similarity is a term attributed to Benoît Mandelbrot, to describe any object that appears roughly the same at any level of magnification. Fractal objects are readily prevalent in nature and can be easily seen by examining the intricate shape of sea shells, snowflakes and lightning bolts.

This application illustrates how Maple can be used to generate the two most famous fractal objects: the Mandelbrot Set and the Julia Set. 

Also: Make sure to check out the EscapeTime Fractals application, which has been updated for Maple 2015.