Chaos and Fractals
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Newton Basins
Introduction to basins of attraction for Newton's method and the fractals they form.
http://aleph0.clarku.edu/~djoyce/newton/newton.html
Limit Sets of Kleinian Groups
Graphics, software.
http://klein.math.okstate.edu/kleinian/
Dynamical Systems and Technology Project
An educational site on chaos and fractals.
http://math.bu.edu/DYSYS/dysys.html
Climate Dynamics
Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns.
http://www.geocities.com/CapeCanaveral/Lab/5833/
Sean Reed's Fractal Resource Page
Includes images, information and resource links.
http://wind.prohosting.com/sreed1/fractal.html
An Introduction To Fractals
Gives definition and explains the different types of formulas used. Includes illustrations and bibliography.
http://www.swin.edu.au/astronomy/pbourke/fractals/fracintro/
The Spanky Fractal Database
Large categorized index of software, information and links.
http://spanky.triumf.ca/
Fractal Adventures
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 Explorer
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 Dimensions
An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals.
http://math.rice.edu/~lanius/fractals/dim.html
The Computational Beauty of Nature
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/
Introduction to Fractal Lacunarity
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.html
Fractal Pages at Thinks.com
Enter the wonderful world of fractals - where mathematics meets art and music.
http://thinks.com/fractals.htm
Technocosm
Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries.
http://technocosm.org/chaos/
Iterations and the Mandelbrot Set
Discusses how differently the iterations behave depending on which portions the coefficients are plucked from.
http://www.cut-the-knot.com/blue/Mandel.html
Our Fractal Universe
A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math.
http://library.thinkquest.org/25810/
Fractals Unleashed
Contains applications, lots of Java applets and CGI programs, gallery, and a art contest. Download software and learn how to program fractals.
http://library.thinkquest.org/26242/
Quantum Jumps, EEQT and the Five Platonic Fractals
Explains how quantum jumps generate new family of fractals on the spherical canvas S^2. Includes graphics in several formats.
http://www.cassiopaea.org/quantum_future/papers/qfract/
Fractal Clouds
Information on fractal (water) clouds, including descriptions of cloud types, movies and a glossary.
http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/FractalClouds.html
Chaos, Fractals, and Arcadia
Animated description of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia.
http://math.bu.edu/DYSYS/arcadia/
Fractal Geometry at Yale University
Course homepage for the Fractal Geometry course at Yale University.
http://classes.yale.edu/fractals/Welcome.html
Fractals and Chaos
Provides images, quotes and information on the different types of fractals.
http://astronomy.swin.edu.au/~pbourke/fractals/
Chaos, Fractals And Attractors In Science
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
The Fractal Foundation
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 3x + 1 Fractal
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
A Fractal Christmas
Article with links from Inside Science News Service.
http://www.aip.org/isns/reports/2003/086.html
The Mandelbrot and Julia Sets Anatomy
A virtual investigation with interactive, animated fractals, articles and fractal math equations.
http://www.ibiblio.org/e-notes/MSet/Contents.htm
Interactive 3D Fractals
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.ibiblio.org/e-notes/3Dapp/Mount.htm
Chaos Theory and Fractals
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/
efg's Computer Lab: Fractals and Chaos Page
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
What are Fractals?
Explanation of fractals, along with fractal art and uses.
http://www.jracademy.com/~jtucek/math/fractals.html
Mathematical Figures Using Mathematica
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
Mandelbrot Set Explorer
A Java applet for discovering interesting regions of the Mandelbrot Set.
http://www.users.nac.net/thegangof4/blackSaturn/mandelbrot/MandelbrotSetExplorer.htm
Fractal Map
A fun and addictive online Mandelbrot viewer.
http://frac.samurajdata.se/
A Sketchbook on L-systems
Modeling and visualization of plants using parametric L systems.
http://coco.ccu.uniovi.es/malva/sketchbook/
Mandelbrot and Julia Set Explorer
Clark University hosts various graphic images and links to fractal and other mathematical methods of imaging.
http://aleph0.clarku.edu/~djoyce/julia/explorer.html
Fractal Text
Turn words into fractals.
http://b435-boas.stanford.edu/home/science/ftext/index.html
Fractalized!
Java animations of different fractals, including the Mandelbrot and Julia sets.
http://www-unix.oit.umass.edu/~dtillber/
Groupe Fractales
Research group at INRIA Rocquencourt. Research details, publications and software: FRACLAB, Algon, Xalpha, EASEA.
http://www-rocq.inria.fr/fractales/
3D Fractals using Bicomplex Dynamics
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/
Fractals by Paul Bourke
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/
IFS Attractors
Index to Named Fractals.
http://www.meden.demon.co.uk/Fractals/fractals.html
Fractal Archipelago
Shows how fractals describe the shape of coastlines, and presents an "atlas" of fractal islands.
http://www.swiss.ai.mit.edu/~rauch/islands
Fractals and Scale
Discusses original concepts behind fractals and applications of their scales.
http://life.csu.edu.au/complex/tutorials/tutorial3.html
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