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

A Sketchbook on L-systems open in new window
Modeling and visualization of plants using parametric L systems.
(http://coco.ccu.uniovi.es/malva/sketchbook/)

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

Chaos Theory and Fractals open in new window
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.
(http://www.mathjmendl.org/chaos/)

Chaos Theory Resources - Fractals - Directories - Links open in new window
A Directory of Internet resources on chaos theory and fractals.
(http://www.academicinfo.net/mathchaos.html)

Chaos, Fractals And Attractors In Science open in new window
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.
(http://www.geocities.com/ecometry)

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

Dynamical Systems and Technology Project open in new window
An educational site on chaos and fractals.
(http://math.bu.edu/DYSYS/dysys.html)

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

Fractal Adventures open in new window
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.
(http://home.att.net/~Novak.S/)

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

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

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

Fractal Geometry at Yale University open in new window
Course homepage for the Fractal Geometry course at Yale University.
(http://classes.yale.edu/fractals/Welcome.html)

Fractal Journeys open in new window
a beautiful page of fractal imagery with a simple explanation of what it means to be fractal and sequences of images each of which record a journey down into an area of the Mandelbrot set - plus a key to indicate how each image was derived from the previous one.
(http://www.deepleaf.com/fractal)

Fractal Map open in new window
A fun and addictive online Mandelbrot viewer.
(http://frac.samurajdata.se/)

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

Fractal Pages of Paul N. Lee open in new window
Computer Generated Fractal Images -- plus an exhaustive list of fractal generators, galleries featuring fractals, and other fractal related information, such as the "Fractal Census".
(http://home.att.net/~Paul.N.Lee/PNL_Fractals.html)

Fractal Screensavers open in new window
A site with two free Screensavers. Each is a fractal produced by a random number generator and a set of transformations.(Based on Barnsley's Chaos Game)
(http://www.geocities.com/ResearchTriangle/System/8956/mall/s)

Fractal Text open in new window
Turn words into fractals.
(http://b435-boas.stanford.edu/home/science/ftext/index.html)

Fractalized! open in new window
Java animations of different fractals, including the Mandelbrot and Julia sets.
(http://www-unix.oit.umass.edu/~dtillber/)

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

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

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

Fractals Unleashed open in new window
The most comprehensive website about fractals on the net. Contains enourmous amounts of information, including fractal applications, lots of Java applets and CGI programs, a well-organized gallery, and a fractal art contest. Download software and learn how to program fractal.
(http://library.advanced.org/26242/)

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

IFS Attractors open in new window
Index to Named Fractals.
(http://www.meden.demon.co.uk/Fractals/fractals.html)

Interactive 3D Fractals open in new window
Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. Uses tiny Java1.1 applets and VRML worlds.
(http://www.people.nnov.ru/fractal/3Dapp/Mount.htm)

Introduction to Fractal Lacunarity open in new window
Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. Uses in ecology, and image analysis.
(http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.htm)

Iterations and the Mandelbrot Set open in new window
Discusses how differently the iterations behave depending on which portions the coefficients are plucked from.
(http://www.cut-the-knot.com/blue/Mandel.html)

Limit Sets of Kleinian Groups open in new window
Graphics, software.
(http://klein.math.okstate.edu/kleinian/)

Mandelbrot and Julia Set Explorer open in new window
Clark University hosts incredible graphic images and links to fractal and other mathematical methods of imaging.
(http://aleph0.clarku.edu/~djoyce/julia/explorer.html)

Mandelbrot Set Explorer open in new window
A Java applet for discovering interesting regions of the Mandelbrot Set.
(http://www.users.nac.net/thegangof4/blackSaturn/mandelbrot/M)

Mathematical Figures Using Mathematica open in new window
Robert M. Dickau's page. The "Fractals and Chaos" section has figures of attractors, L-systems in 2 and 3 dimensions, Sierpinski gaskets, bifurcation, and Julia and Mandelbrot sets. Includes Mathematica code.
(http://mathforum.org/advanced/robertd/index.html)

Newton Basins open in new window
Introduction to basins of attraction for Newton's method and the fractals they form.
(http://aleph0.clarku.edu/~djoyce/newton/newton.html)

Our Fractal Universe open in new window
A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math.
(http://library.advanced.org/25810/)

Sean Reed's Fractal Resource Page open in new window
Includes images, information and resource links.
(http://wind.prohosting.com/sreed1/fractal.html)

Technocosm open in new window
Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries.
(http://technocosm.org/chaos/)

The 3x + 1 Fractal open in new window
A paper that generalizes the famous 3x + 1 (or Collatz) problem to complex numbers, and in the process, introduces a striking new fractal.
(http://www.geocities.com/windmill96/collatz/cfractal.html)

The Computational Beauty of Nature open in new window
Companion site for the book by Gary William Flake. Contains applets and source code for simulations of fractals, chaos, complex systems, and adaptation.
(http://mitpress.mit.edu/books/FLAOH/cbnhtml/)

The Fractal Foundation open in new window
Inspiring and educating people about Fractals, Chaos Theory and the interconnectedness of complex systems. Our Fractal Balloons are a highly visible fusion of art and technology.
(http://www.fractalfoundation.org)

The Mandelbrot and Julia Sets Anatomy open in new window
A virtual investigation with interactive, animated fractals, articles and fractal math equations.
(http://www.people.nnov.ru/fractal/MSet/Contents.htm)

The Spanky Fractal Database open in new window
Large categorized index of software, information and links.
(http://spanky.triumf.ca/)

What are Fractals? open in new window
Explanation of fractals, along with fractal art and uses.
(http://www.jracademy.com/~jtucek/math/fractals.html)


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