Java applets for exploring the Mandelbrot and Julia sets

• Fractal Microscope
• Mandelbrot Set - Eckhard Roessel
• Produce and plot orbits for z -> z²+c.
• Mandelbrot Explorer - Panagiotis Christias

• Fractal Geometry of the Mandelbrot Set - Part I: Periods of the Bulbs
• Fractal Geometry of the Mandelbrot Set - Part II: How to Count and How to Add
• Interactive Collection of Mandelbrot Set and Julia Set Movies
• Mandelbrot Set Explorer - Explorations of the Mandelbrot and Julia Sets

Mandelbrot Set - Project Interactive
discussions and activities designed to lead students to explore the Mandelbrot set

Fractal Explorer - Fabio Cesari
clearly presented tutorial on the Mandelbrot and Julia sets

Chaos Hypertextbook - Glenn Elert
contains some excellent images of the Mandelbrot and Julia sets

biographies - MacTutor History Archive

• Benoit Mandelbrot
• Gaston Maurice Julia

Itetut - Paul Dooley
Students are able to enter seed values as real and complex numbers and study the orbits numerically and graphically, leading to the discovery of the Mandelbrot Set. A student guide and test paper are also provided.

Aros Fractals software
Explore some classical fractal images at extremely high resolutions.

Fractint software
versatile and extensive fractal generator

Fractal Designer software
Draw the attractors of hyperbolic iterated function systems (IFS or HIFS) where the functions are affine transformations of the plane.

Dynamical Systems software
Investigate the Mandelbrot set, Julia sets and Newton basins. (NB. Save feature does not work.)

Xaos software
Xaos displays the Mandelbrot set and allows you zoom smoothly into the fractal.

other links

• Chaos and Fractals - Dale Winter
• Mandelbrot Set - MathWorld
• ORDER - The Mathematics of Chaos