In this book we generate graphic images using the software Mathematica thus providing a
gentle and enjoyable introduction to this rather technical software and its graphic
capabilities. The programs we use for generating these graphics are easily adaptable to many
variations.These graphic images are enhanced by introducing a variety of different coloring
techniques.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