Chaos and Fractals (Math)

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Chaos and Fractals Sites:

Dynamical Systems and Technology Project Dynamical Systems and Technology Project: An educational site on chaos and fractals. (Chaos and Fractals) http://math.bu.edu/DYSYS/dysys.html Climate Dynamics Climate Dynamics: Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. (Chaos and Fractals) http://www.geocities.com/CapeCanaveral/Lab/5833/ Sean Reed's Fractal Resource Page Sean Reed's Fractal Resource Page: Includes images, information and resource links. (Chaos and Fractals) http://wind.prohosting.com/sreed1/fractal.html Limit Sets of Kleinian Groups Limit Sets of Kleinian Groups: Graphics, software. (Chaos and Fractals) http://klein.math.okstate.edu/kleinian/ Fractal Map Fractal Map: A fun and addictive online Mandelbrot viewer. (Chaos and Fractals) http://frac.samurajdata.se/ Iterations and the Mandelbrot Set Iterations and the Mandelbrot Set: Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. (Chaos and Fractals) http://www.cut-the-knot.com/blue/Mandel.html Quantum Jumps, EEQT and the Five Platonic Fractals 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. (Chaos and Fractals) http://www.cassiopaea.org/quantum_future/papers/qfract/ Mandelbrot Set Explorer Mandelbrot Set Explorer: A Java applet for discovering interesting regions of the Mandelbrot Set. (Chaos and Fractals) http://www.users.nac.net/thegangof4/blackSaturn/mandelbrot/MandelbrotSetExplorer.htm The Spanky Fractal Database The Spanky Fractal Database: Large categorized index of software, information and links. (Chaos and Fractals) http://spanky.triumf.ca/ Fractal Archipelago Fractal Archipelago: Shows how fractals describe the shape of coastlines, and presents an "atlas" of fractal islands. (Chaos and Fractals) http://www.swiss.ai.mit.edu/~rauch/islands Groupe Fractales Groupe Fractales: Research group at INRIA Rocquencourt. Research details, publications and software: FRACLAB, Algon, Xalpha, EASEA. (Chaos and Fractals) http://www-rocq.inria.fr/fractales/ Fractal Text Fractal Text: Turn words into fractals. (Chaos and Fractals) http://b435-boas.stanford.edu/home/science/ftext/index.html Chaos Theory and Fractals 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. (Chaos and Fractals) http://www.mathjmendl.org/chaos/ Introduction to Fractal Lacunarity 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. (Chaos and Fractals) http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html The 3x + 1 Fractal 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. (Chaos and Fractals) http://www.geocities.com/windmill96/collatz/cfractal.html Fractalized! Fractalized!: Java animations of different fractals, including the Mandelbrot and Julia sets. (Chaos and Fractals) http://www-unix.oit.umass.edu/~dtillber/ The Mandelbrot and Julia Sets Anatomy The Mandelbrot and Julia Sets Anatomy: A virtual investigation with interactive, animated fractals, articles and fractal math equations. (Chaos and Fractals) http://www.ibiblio.org/e-notes/MSet/Contents.htm Fractal Geometry at Yale University Fractal Geometry at Yale University: 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 (Chaos and Fractals) http://classes.yale.edu/fractals/ Fractal Dimensions Fractal Dimensions: An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals. (Chaos and Fractals) http://math.rice.edu/~lanius/fractals/dim.html The Fractal Foundation 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. (Chaos and Fractals) http://www.fractalfoundation.org Chaos, Fractals And Attractors In Science 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. (Chaos and Fractals) http://www.geocities.com/ecometry Fractals by Paul Bourke 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. (Chaos and Fractals) http://www.swin.edu.au/astronomy/pbourke/fractals/ A Fractal Christmas A Fractal Christmas: Article with links from Inside Science News Service. (Chaos and Fractals) http://www.aip.org/isns/reports/2003/086.html Interactive 3D Fractals 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. (Chaos and Fractals) http://www.ibiblio.org/e-notes/3Dapp/Mount.htm An Introduction To Fractals An Introduction To Fractals: Gives definition and explains the different types of formulas used. Includes illustrations and bibliography. (Chaos and Fractals) http://www.swin.edu.au/astronomy/pbourke/fractals/fracintro/ Fractals Unleashed Fractals Unleashed: Contains applications, lots of Java applets and CGI programs, gallery, and a art contest. Download software and learn how to program fractals. (Chaos and Fractals) http://library.thinkquest.org/26242/ IFS Attractors IFS Attractors: Index to Named Fractals. (Chaos and Fractals) http://www.meden.demon.co.uk/Fractals/fractals.html Fractal Explorer Fractal Explorer: A fractal tutorial for beginners. Covers Mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator. (Chaos and Fractals) http://www.geocities.com/fabioc Fractals and Chaos Fractals and Chaos: Provides images, quotes and information on the different types of fractals. (Chaos and Fractals) http://astronomy.swin.edu.au/~pbourke/fractals/ efg's Computer Lab: Fractals and Chaos Page 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. (Chaos and Fractals) http://www.efg2.com/Lab/FractalsAndChaos Fractal Adventures 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. (Chaos and Fractals) http://home.att.net/~Novak.S/ Mandelbrot and Julia Set Explorer Mandelbrot and Julia Set Explorer: Clark University hosts various graphic images and links to fractal and other mathematical methods of imaging. (Chaos and Fractals) http://aleph0.clarku.edu/~djoyce/julia/explorer.html Fractal Clouds Fractal Clouds: Information on fractal (water) clouds, including descriptions of cloud types, movies and a glossary. (Chaos and Fractals) http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/FractalClouds.html Fractals and Scale Fractals and Scale: Discusses original concepts behind fractals and applications of their scales. (Chaos and Fractals) http://life.csu.edu.au/complex/tutorials/tutorial3.html What are Fractals? What are Fractals?: Explanation of fractals, along with fractal art and uses. (Chaos and Fractals) http://www.jracademy.com/~jtucek/math/fractals.html Technocosm Technocosm: Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries. (Chaos and Fractals) http://technocosm.org/chaos/ Mathematical Figures Using Mathematica 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. (Chaos and Fractals) http://mathforum.org/advanced/robertd/index.html Newton Basins Newton Basins: Introduction to basins of attraction for Newton's method and the fractals they form. (Chaos and Fractals) http://aleph0.clarku.edu/~djoyce/newton/newton.html A Sketchbook on L-systems A Sketchbook on L-systems: Modeling and visualization of plants using parametric L systems. (Chaos and Fractals) http://coco.ccu.uniovi.es/malva/sketchbook/ Our Fractal Universe Our Fractal Universe: A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math. (Chaos and Fractals) http://library.thinkquest.org/25810/ The Computational Beauty of Nature 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. (Chaos and Fractals) http://mitpress.mit.edu/books/FLAOH/cbnhtml/ Chaos, Fractals, and Arcadia Chaos, Fractals, and Arcadia: Animated description of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. (Chaos and Fractals) http://math.bu.edu/DYSYS/arcadia/ 3D Fractals using Bicomplex Dynamics 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. (Chaos and Fractals) http://www.3dfractals.com/ Fractal Pages at Thinks.com Fractal Pages at Thinks.com: Enter the wonderful world of fractals - where mathematics meets art and music. (Chaos and Fractals) http://thinks.com/fractals.htm