These pages are designed to help students and teachers understand the mathematical ideas behind the beautiful geometric images known as the Mandelbrot and Julia sets. Included are a series of interactive explorations that will help you discover the meaning of such topics as Julia Set Explosions, Rotation Numbers, Bifurcations, and much more. You can use this site as a companion to the book called "The Mandelbrot and Julia Sets: A Toolkit of Dynamics Activities" or you can use it as a stand-alone tool for exploring the incredible mathematics behind these images.

In order to comprehend the images and animations you are seeing, you should have some familiarity with the ideas of complex iteration, the complex quadratic x2 + c, and the meaning of both the Mandelbrot and Julia sets. Click the "HELP" button below for a primer on these notions. At any time, you can click the "MAIN PAGE" button to go to the starting point for many of the interactive exporations. Or you can click "HOME" to return here.

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