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Topia!: Science: Math: Chaos and Fractals (327)
See Also:
Limit Sets of Kleinian Groups - Graphics, software. Dynamical Systems and Technology Project - An educational site on chaos and fractals. The Spanky Fractal Database - Large categorized index of software, information and links. Our Fractal Universe - A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math. 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. Fractal Explorer - A fractal tutorial for beginners. Covers Mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator. Fractal Dimensions - An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals. 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. 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. Fractal Screensavers - 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) Fractals Unleashed - 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. Fractal Pages at Thinks.com - Enter the wonderful world of fractals - where mathematics meets art and music. 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. 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. Fractal Journeys - 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. What are Fractals? - Explanation of fractals, along with fractal art and uses. 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. Mandelbrot Set Explorer - A Java applet for discovering interesting regions of the Mandelbrot Set. Fractal Map - A fun and addictive online Mandelbrot viewer. A Sketchbook on L-systems - Modeling and visualization of plants using parametric L systems. Mandelbrot and Julia Set Explorer - Clark University hosts incredible graphic images and links to fractal and other mathematical methods of imaging. Fractal Text - Turn words into fractals. Fractalized! - Java animations of different fractals, including the Mandelbrot and Julia sets. Groupe Fractales - Research group at INRIA Rocquencourt. Research details, publications and software: FRACLAB, Algon, Xalpha, EASEA. 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. 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. Fractal Pages of Paul N. Lee - Computer Generated Fractal Images -- plus an exhaustive list of fractal generators, galleries featuring fractals, and other fractal related information, such as the "Fractal Census". IFS Attractors - Index to Named Fractals. Chaos Theory Resources - Fractals - Directories - Links - A Directory of Internet resources on chaos theory and fractals. Fractal Archipelago - Shows how fractals describe the shape of coastlines, and presents an "atlas" of fractal islands. Fractals and Scale - Discusses original concepts behind fractals and applications of their scales. Climate Dynamics - Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. Sean Reed's Fractal Resource Page - Includes images, information and resource links. An Introduction To Fractals - Gives definition and explains the different types of formulas used. Includes illustrations and bibliography. Technocosm - Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries. Iterations and the Mandelbrot Set - Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. The Mandelbrot and Julia Sets Anatomy - A virtual investigation with interactive, animated fractals, articles and fractal math equations. 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. Fractal Geometry at Yale University - Course homepage for the Fractal Geometry course at Yale University. Fractals and Chaos - Provides images, quotes and information on the different types of 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. 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. 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.
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