Math: Chaos and Fractals

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Chaos (57)

Fractal Art (153)

Software (58)

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3D Fractals using Bicomplex Dynamics
http://www.3dfractals.com/
The Tetrabrot is the bicomplex generalization of the Mandelbrot set as realized by Dominic 'Ramdam' Rochon. Articles, pictures, news and other downloads.

A Fractal Christmas
http://www.aip.org/isns/reports/2003/086.html
Article with links from Inside Science News Service.

A Sketchbook on L-systems
http://coco.ccu.uniovi.es/malva/sketchbook/
Modeling and visualization of plants using parametric L systems.

An Introduction To Fractals
http://www.swin.edu.au/astronomy/pbourke/fractals/fracintro/
Gives definition and explains the different types of formulas used. Includes illustrations and bibliography.

Chaos Theory and Fractals
http://www.mathjmendl.org/chaos/
History of chaos as well as extensive information on Chaos Theory and fractals. Contains several pictures of fractals and links to other Chaos Theory and fractals pages.

Chaos, Fractals And Attractors In Science
http://www.geocities.com/ecometry
Chaos theory is a popular name for the theory of Dynamical Systems (DS), mainly for non-linear systems. The theory covers many aspects of the life of DS, all of them have the same characteristics, they were born, they lived and they died.

Chaos, Fractals, and Arcadia
http://math.bu.edu/DYSYS/arcadia/
Animated description of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia.

Climate Dynamics
http://www.geocities.com/CapeCanaveral/Lab/5833/
Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns.

Dynamical Systems and Technology Project
http://math.bu.edu/DYSYS/dysys.html
An educational site on chaos and fractals.

efg's Computer Lab: Fractals and Chaos Page
http://www.efg2.com/Lab/FractalsAndChaos
Several Fractal and Chaos projects, including "Evolution of Mandelbrot Set," Fractal Discovery Lab, IFS images, Lorenz and other Strange Attractors.

Fractal Adventures
http://home.att.net/~Novak.S/
The purpose of this site is to help the beginner to create fractal images. An overview of programs is provided along with a program-related fractal Gallery.

Fractal Archipelago
http://www.swiss.ai.mit.edu/~rauch/islands
Shows how fractals describe the shape of coastlines, and presents an "atlas" of fractal islands.

Fractal Clouds
http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/FractalClouds.html
Information on fractal (water) clouds, including descriptions of cloud types, movies and a glossary.

Fractal Dimensions
http://math.rice.edu/~lanius/fractals/dim.html
An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals.

Fractal Explorer
http://www.geocities.com/fabioc
A fractal tutorial for beginners. Covers Mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator.

Fractal Geometry at Yale University
http://classes.yale.edu/fractals/
Written by Michael Frame, Benoit Mandelbrot, and Nial Neger. Covers the concept of self similarity in these types of formulas and different kinds of algorithms used to generate these images. Other topics include bifurcation, dimensions, chaos theory and applications. Also, has downloadable software and teaching resources.

Fractal Map
http://frac.samurajdata.se/
A fun and addictive online Mandelbrot viewer.

Fractal Pages at Thinks.com
http://thinks.com/fractals.htm
Enter the wonderful world of fractals - where mathematics meets art and music.

Fractal Text
http://b435-boas.stanford.edu/home/science/ftext/index.html
Turn words into fractals.

Fractals and Chaos
http://astronomy.swin.edu.au/~pbourke/fractals/
Provides images, quotes and information on the different types of fractals.

Fractals and Scale
http://life.csu.edu.au/complex/tutorials/tutorial3.html
Discusses original concepts behind fractals and applications of their scales.

Fractals by Paul Bourke
http://www.swin.edu.au/astronomy/pbourke/fractals/
Images of several attractors, some Newton Raphson method fractals, and L systems. Includes programs and explanations how to write such programs.

Fractals Unleashed
http://library.thinkquest.org/26242/
Contains applications, lots of Java applets and CGI programs, gallery, and a art contest. Download software and learn how to program fractals.

Groupe Fractales
http://www-rocq.inria.fr/fractales/
Research group at INRIA Rocquencourt. Research details, publications and software: FRACLAB, Algon, Xalpha, EASEA.

IFS Attractors
http://www.meden.demon.co.uk/Fractals/fractals.html
Index to Named Fractals.

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