image thumbnail

Fractal Explorer

version 1.0.0.0 (32.6 KB) by Laurent Cavin
The whole Chaos in a single program.

15.1K Downloads

Updated 29 Jul 2004

View License

Fractal Explorer

GUI-based program for exploring and studying the most common form of fractals, chaotic systems and fractional dimension systems. An overview of the features with a small introductory text is available at

http://ltcmail.ethz.ch/cavin/fractals.html

The usage is straightforward. Type "fractal_explorer", and the main window will be opened and the Mandelbrot Set will be drawn. All features are available via menus and buttons. Information is given on the bottom-left corner of the figure, while tips and information will appear on the left side of the figure when user input is required/possible. For most functions, dialogs will allow introducing user-defined parameters or equations for the calculation. Most dialog contains a button labeled "Cool Params" or "Examples" - this will propose a set of parameters leading to a chaotic behavior (as it is sometimes difficult to find a good parameter set); when only one typical set of parameter is customarily used, it will be given by default the first time the function is called.

The features include:

- Logistic Equation [1]
- Real 2D Attractors:
- Henon Attractor [1]
- Pickover System [1]
- Arbitrary Quadratic Map [1]
- Real 3D Attractors:
- Lorenz Attractor [2]
- Roessler Attractor [2]
- Limited Quadratic Map [2]
- Complex Maps:
- Mandelbrot Set [1,5]
- Julia Sets [1,3,5]
- Arbitrary Polynomial Newton-Raphson
Attraction Basins [1,5]
- Barnsley's Tree [1,5]
- Arbitrary Mandelbrot and Julia-based
Sets [1,5]
- Quaternions:
- Mandelbrot and Julia Sets [2]
- String Systems:
- Lindemayer Systems Single Rule
- Lindenmayer Systems Multiple-Rules
- Plant-like systems:
- Barbsley's Fern [4,6]
- Fractal Trees
- 3D Systems
- 3D-Multiple-Rules Lindenmayer
Systems [2]
- Menger Sponge [2,4]
- FOlded Plans:
- Mesh grids [2]
- Fractals Clouds
- Fractal Landscapes [2]

Notes:
[1] Interactive Zooming
[2] Interactive 3-D View
[3] Julia explorer with on-the-fly previews
[4] Limited to built-in parameters
[5] Include the function Make-It-3D?
[6] Equations taken from Brian Mearns's "Fractal Fern"

For more information, see http://ltcmail.ethz.ch/cavin/fractals.html#SOFT

Cite As

Laurent Cavin (2022). Fractal Explorer (https://www.mathworks.com/matlabcentral/fileexchange/5573-fractal-explorer), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R13
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!