Detailed instructions are given for the construction of some interesting 2D and 3D fractals using iterated functions systems as well as the construction of many different types of Julia sets and parameter sets such as the Mandelbrot set.

The mathematics underlying the theory of Iterated function systems and Julia sets is given an intuitive explanation, and references are provided for more detailed study.

· Brilliant Graphic images
· Interesting Introduction to Mathematica for Beginners
· Easy constructions
· A variety of Coloring Techniques
· Programs Easily Adaptable to Many Variations
· Constructions useful for Dynamics and Fractals Courses