Fractals as a branch of mathematics.
This page was last updated on July 15th, 2008
This page was last updated on July 15th, 2008
Chaos and Fractals (from Math)
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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.
IFS Attractors
Index to Named Fractals.
Fractal Map
A fun and addictive online Mandelbrot viewer.
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.
Sean Reed's Fractal Resource Page
Includes images, information and resource links.
Fractal Clouds
Information on fractal (water) clouds, including descriptions of cloud types, movies and a glossary.
Fractal Dimensions
An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals.
The Spanky Fractal Database
Large categorized index of software, information and links.
Fractal Pages at Thinks.com
Enter the wonderful world of fractals - where mathematics meets art and music.
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.
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.
Mandelbrot and Julia Set Explorer
Clark University hosts various graphic images and links to fractal and other mathematical methods of imaging.
Technocosm
Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries.
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
Newton Basins
Introduction to basins of attraction for Newton's method and the fractals they form.
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 Text
Turn words into fractals.
Fractals and Chaos
Provides images, quotes and information on the different types of fractals.
Fractals Unleashed
Contains applications, lots of Java applets and CGI programs, gallery, and a art contest. Download software and learn how to program fractals.
Our Fractal Universe
A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math.
Iterations and the Mandelbrot Set
Discusses how differently the iterations behave depending on which portions the coefficients are plucked from.
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, Fractals, and Arcadia
Animated description of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia.
Fractal Archipelago
Shows how fractals describe the shape of coastlines, and presents an "atlas" of fractal islands.
Fractal Explorer
A fractal tutorial for beginners. Covers Mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator.
Groupe Fractales
Research group at INRIA Rocquencourt. Research details, publications and software: FRACLAB, Algon, Xalpha, EASEA.
An Introduction To Fractals
Gives definition and explains the different types of formulas used. Includes illustrations and bibliography.
Dynamical Systems and Technology Project
An educational site on chaos and fractals.
A Fractal Christmas
Article with links from Inside Science News Service.
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.
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.
The Mandelbrot and Julia Sets Anatomy
A virtual investigation with interactive, animated fractals, articles and fractal math equations.
What are Fractals?
Explanation of fractals, along with fractal art and uses.
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.
Fractals and Scale
Discusses original concepts behind fractals and applications of their scales.
Limit Sets of Kleinian Groups
Graphics, software.
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.
Fractalized!
Java animations of different fractals, including the Mandelbrot and Julia sets.
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.
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.
Climate Dynamics
Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns.
A Sketchbook on L-systems
Modeling and visualization of plants using parametric L systems.
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 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.
Index to Named Fractals.
A fun and addictive online Mandelbrot viewer.
A paper that generalizes the famous 3x + 1 (or Collatz) problem to complex numbers, and in the process, introduces a striking new fractal.
Includes images, information and resource links.
Information on fractal (water) clouds, including descriptions of cloud types, movies and a glossary.
An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals.
Large categorized index of software, information and links.
Enter the wonderful world of fractals - where mathematics meets art and music.
Images of several attractors, some Newton Raphson method fractals, and L systems. Includes programs and explanations how to write such programs.
Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. Uses in ecology, and image analysis.
Clark University hosts various graphic images and links to fractal and other mathematical methods of imaging.
Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries.
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
Introduction to basins of attraction for Newton's method and the fractals they form.
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.
A Java applet for discovering interesting regions of the Mandelbrot Set.
Turn words into fractals.
Provides images, quotes and information on the different types of fractals.
Contains applications, lots of Java applets and CGI programs, gallery, and a art contest. Download software and learn how to program fractals.
A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math.
Discusses how differently the iterations behave depending on which portions the coefficients are plucked from.
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.
Animated description of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia.
Shows how fractals describe the shape of coastlines, and presents an "atlas" of fractal islands.
A fractal tutorial for beginners. Covers Mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator.
Research group at INRIA Rocquencourt. Research details, publications and software: FRACLAB, Algon, Xalpha, EASEA.
Gives definition and explains the different types of formulas used. Includes illustrations and bibliography.
An educational site on chaos and fractals.
Article with links from Inside Science News Service.
Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. Uses tiny Java1.1 applets and VRML worlds.
Several Fractal and Chaos projects, including "Evolution of Mandelbrot Set," Fractal Discovery Lab, IFS images, Lorenz and other Strange Attractors.
A virtual investigation with interactive, animated fractals, articles and fractal math equations.
Explanation of fractals, along with fractal art and uses.
Explains how quantum jumps generate new family of fractals on the spherical canvas S^2. Includes graphics in several formats.
Discusses original concepts behind fractals and applications of their scales.
Graphics, software.
The Tetrabrot is the bicomplex generalization of the Mandelbrot set as realized by Dominic 'Ramdam' Rochon. Articles, pictures, news and other downloads.
Java animations of different fractals, including the Mandelbrot and Julia sets.
Companion site for the book by Gary William Flake. Contains applets and source code for simulations of fractals, chaos, complex systems, and adaptation.
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.
Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns.
Modeling and visualization of plants using parametric L systems.
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.
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