# Julia and Mandelbrot Set Generation

David E. Joyce

For background on Julia and Mandelbrot sets, see the
introduction.

The forms below are useful if you want to view a specific part of
the Mandelbrot set, or a specific part of a particular Julia set, that is,
you know the regions of the complex plane you want to view and, in the
case of a Julia set, you also know the parameter µ.

If you just want to look around the Mandelbrot set, you'll find the
Mandelbrot Applet much easier and
faster to use. If you also want to see the associated Julia sets, you'll
find the Julia and Mandelbrot Explorer much
more convenient.

Below are two forms, The first requests the generation of a Mandelbrot separator set, the second the generation of Julia sets.

When you choose a Julia set, you specify which one by
indicating a complex parameter µ, and when you choose the Mandelbrot separator set, you specify whether
you want to see it in the µ plane or the lambda plane. In either case, you may also specify
the rectangle of the complex plane to display, the size of the image to be
produced, and the maximum number of iterations to be used for each pixel in
the image.

You'll have to refresh the image if you get more than one since all
the images are stored in the same file.

## Julia Sets

Sept., 1994. This page copyright © 1994. Images produced by this Julia and Mandelbrot Set Generator are in the public domain and may be used for any purpose
whatsoever.

David E. Joyce

Department of Mathematics and Computer Science

Clark University

Worcester, MA 01610
This page is located at
http://aleph0.clarku.edu/~djoyce/julia/juliagen.html