Introduction to Julia sets and the Mandelbrot set

In the applet below, the left image shows the Mandelbrot set M in the parameter plane. The current parameter c determines the Julia set Kc in the dynamic plane, which is shown in the right window. Suggestions for their exploration will be given after introducing the Java applet Juliette (click the gray column to give it keyboard focus if necessary):

Download Juliette 1.0 of July 2010. The source code is included in the archive under the GNU General Public License.
It was compiled with Java 1.6, compatibility level 1.5. If it does not run, please enable Java in your browser, or download the Java plug-in.

Suggestions under construction ...