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Chaos (57)

Fractal Art (153)

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Interactive 3D Fractals
http://www.ibiblio.org/e-notes/3Dapp/Mount.htm
Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. Uses tiny Java1.1 applets and VRML worlds.

Introduction to Fractal Lacunarity
http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html
Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. Uses in ecology, and image analysis.

Iterations and the Mandelbrot Set
http://www.cut-the-knot.com/blue/Mandel.html
Discusses how differently the iterations behave depending on which portions the coefficients are plucked from.

Limit Sets of Kleinian Groups
http://klein.math.okstate.edu/kleinian/
Graphics, software.

Mandelbrot and Julia Set Explorer
http://aleph0.clarku.edu/~djoyce/julia/explorer.html
Clark University hosts various graphic images and links to fractal and other mathematical methods of imaging.

Mandelbrot Set Explorer
http://www.users.nac.net/thegangof4/blackSaturn/mandelbrot/MandelbrotSetExplorer.htm
A Java applet for discovering interesting regions of the Mandelbrot Set.

Mathematical Figures Using Mathematica
http://mathforum.org/advanced/robertd/index.html
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.

Newton Basins
http://aleph0.clarku.edu/~djoyce/newton/newton.html
Introduction to basins of attraction for Newton's method and the fractals they form.

Our Fractal Universe
http://library.thinkquest.org/25810/
A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math.

Quantum Jumps, EEQT and the Five Platonic Fractals
http://www.cassiopaea.org/quantum_future/papers/qfract/
Explains how quantum jumps generate new family of fractals on the spherical canvas S^2. Includes graphics in several formats.

Sean Reed's Fractal Resource Page
http://wind.prohosting.com/sreed1/fractal.html
Includes images, information and resource links.

Technocosm
http://technocosm.org/chaos/
Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries.

The 3x + 1 Fractal
http://www.geocities.com/windmill96/collatz/cfractal.html
A paper that generalizes the famous 3x + 1 (or Collatz) problem to complex numbers, and in the process, introduces a striking new fractal.

The Computational Beauty of Nature
http://mitpress.mit.edu/books/FLAOH/cbnhtml/
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
http://www.fractalfoundation.org
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 Mandelbrot and Julia Sets Anatomy
http://www.ibiblio.org/e-notes/MSet/Contents.htm
A virtual investigation with interactive, animated fractals, articles and fractal math equations.

The Spanky Fractal Database
http://spanky.triumf.ca/
Large categorized index of software, information and links.

What are Fractals?
http://www.jracademy.com/~jtucek/math/fractals.html
Explanation of fractals, along with fractal art and uses.

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