Introduction to Julia sets and the Mandelbrot set

These pages provide an interactive exploration of complex dynamics. 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 image; see the explanations below. The web application is implemented in JavaScript. For offline use you may save the html-files together with juliette.js and mandelwork.js. The application is controlled with the buttons beneath or by pressing the corresponding keys, and by clicking into the windows. Most browsers do not allow to save an image. Usage:

To do: implement x e p t 0 1 2 3 m.

Mathematical explanations under construction ...