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ABC HOME: Top: Science: Math: Chaos_and_Fractals:

Chaos and Fractals (316)

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http://classes.yale.edu/fractals/
Fractal Geometry at Yale University Open in a new browser windowEditor's Pick
   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 an
   http://classes.yale.edu/fractals/

Web Sites In this Category:

Newton Basins Open in a new browser window  
   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 Open in a new browser window  
   Graphics, software.
   http://klein.math.okstate.edu/kleinian/
Dynamical Systems and Technology Project Open in a new browser window  
   An educational site on chaos and fractals.
   http://math.bu.edu/DYSYS/dysys.html
The Spanky Fractal Database Open in a new browser window  
   Large categorized index of software, information and links.
   http://spanky.triumf.ca/
Fractal Adventures Open in a new browser 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 Explorer Open in a new browser 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 Dimensions Open in a new browser 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
The Computational Beauty of Nature Open in a new browser 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/
Introduction to Fractal Lacunarity Open in a new browser 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.html
Fractal Pages at Thinks.com Open in a new browser window  
   Enter the wonderful world of fractals - where mathematics meets art and music.
   http://thinks.com/fractals.htm
Chaos Theory and Fractals Open in a new browser 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/
efg's Computer Lab: Fractals and Chaos Page Open in a new browser 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
What are Fractals? Open in a new browser window  
   Explanation of fractals, along with fractal art and uses.
   http://www.jracademy.com/~jtucek/math/fractals.html
Mathematical Figures Using Mathematica Open in a new browser 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
Mandelbrot Set Explorer Open in a new browser window  
   A Java applet for discovering interesting regions of the Mandelbrot Set.
   http://www.users.nac.net/thegangof4/blackSaturn/mandelbrot/MandelbrotSetExplorer.htm
Fractal Map Open in a new browser window  
   A fun and addictive online Mandelbrot viewer.
   http://frac.samurajdata.se/
A Sketchbook on L-systems Open in a new browser window  
   Modeling and visualization of plants using parametric L systems.
   http://coco.ccu.uniovi.es/malva/sketchbook/
Mandelbrot and Julia Set Explorer Open in a new browser window  
   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 Open in a new browser window  
   Turn words into fractals.
   http://b435-boas.stanford.edu/home/science/ftext/index.html
Groupe Fractales Open in a new browser window  
   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 Open in a new browser 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/
Fractals by Paul Bourke Open in a new browser 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/
IFS Attractors Open in a new browser window  
   Index to Named Fractals.
   http://www.meden.demon.co.uk/Fractals/fractals.html
Fractal Archipelago Open in a new browser window  
   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 Open in a new browser window  
   Discusses original concepts behind fractals and applications of their scales.
   http://life.csu.edu.au/complex/tutorials/tutorial3.html
Climate Dynamics Open in a new browser window  
   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 Open in a new browser window  
   Includes images, information and resource links.
   http://wind.prohosting.com/sreed1/fractal.html
An Introduction To Fractals Open in a new browser window  
   Gives definition and explains the different types of formulas used. Includes illustrations and bibliography.
   http://www.swin.edu.au/astronomy/pbourke/fractals/fracintro/
Technocosm Open in a new browser window  
   Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries.
   http://technocosm.org/chaos/
Iterations and the Mandelbrot Set Open in a new browser 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
Fractals and Chaos Open in a new browser window  
   Provides images, quotes and information on the different types of fractals.
   http://astronomy.swin.edu.au/~pbourke/fractals/
Chaos, Fractals And Attractors In Science Open in a new browser 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
The Fractal Foundation Open in a new browser 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 3x + 1 Fractal Open in a new browser 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
A Fractal Christmas Open in a new browser window  
   Article with links from Inside Science News Service.
   http://www.aip.org/isns/reports/2003/086.html
The Mandelbrot and Julia Sets Anatomy Open in a new browser window  
   A virtual investigation with interactive, animated fractals, articles and fractal math equations.
   http://www.ibiblio.org/e-notes/MSet/Contents.htm
Interactive 3D Fractals Open in a new browser 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.ibiblio.org/e-notes/3Dapp/Mount.htm
Our Fractal Universe Open in a new browser window  
   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 Open in a new browser window  
   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 Open in a new browser window  
   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 Open in a new browser window  
   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 Open in a new browser window  
   Animated description of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia.
   http://math.bu.edu/DYSYS/arcadia/

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Last Updated: 2004-11-26 02:14:19


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