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Chaos (28)

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3D Fractals Bicomplex Dynamics

http://www.3dfractals.com/

Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads.

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3D Mountains

http://www.ibiblio.org/e-notes/3Dapp/Mount.htm

Shows how to create fractal mountains, three-dimensional Mandelbrot and Julia sets, convex, stellated and polyhedra. Includes pictures, plots and mathematical formulations.

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An Introduction to Julia and Mandelbrot Sets

http://www.geocities.com/leibowitz.geo/fract_en.html

Explains the mathematical basics of Julia and Mandelbrot sets. Addresses principles, and complex plane algorithms. [English, Italian]

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Bitshifters

http://bitshifters.com/fractal.html

Images generated by different commercial applications. Includes FAQs and tutorial.

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Chaos, Fractals, and Arcadia

http://math.bu.edu/DYSYS/arcadia/

Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references.

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Dan Freeland

http://homepage.ntlworld.com/daniel.freeland/

Explains the basics. Includes gallery and free software for exploring different sets and singularities.

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Efg's Computer Lab: Fractals and Chaos

http://www.efg2.com/Lab/FractalsAndChaos

Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical backgrounds.

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Fractal Brownian Archipelago

http://swiss.csail.mit.edu/~rauch/islands/

Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set.

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Fractal Dimensions

http://math.rice.edu/~lanius/fractals/dim.html

Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations.

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Fractal Explorer

http://www.geocities.com/fabioc/

Tutorial for beginners covering the Mandelbrot and Julia sets, as well as four-dimensional sets. Includes interactive generators and gallery.

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Fractal Foundation

http://www.fractalfoundation.org

Foundation with purpose of educating people about the mathematical theory and the interconnectedness of complex systems. Includes mission statement, mathematical framework, gallery and contact.

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Fractal Geometry

http://classes.yale.edu/fractals/

An educational resource on the mathematical framework and formalism from the Yale University, covering the concept of self similarity. Includes topical examples, images, algorithms and softwares.

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Fractal Map

http://frac.samurajdata.se/

Interactive online Mandelbrot and Julia generator.

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Fractals and Multi Layer Coloring Algorithms

http://www.mi.sanu.ac.yu/vismath/javier1

Scientific paper of the University of the Basque Country, Spain, addressing the mathematical aspects of multi layer colorization. Includes examples and references.

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Fractals and Scale

http://parallel.hpc.unsw.edu.au/complex/tutorials/tutorial3.html

Discussion about the original mathematical concepts and the applications of scales and dimensions. Includes formalisms, examples and illustrations.

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Fractals Unleashed

http://library.thinkquest.org/26242/

Tutorial covering the different types of sets and attractors. Includes mathematical formulations, applets, programs, gallery and an art contest. [English, Russian, Ukrainian]

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Homepage of Kristian Gustavsson

http://www.dd.chalmers.se/~f99krgu/main/index.html

Weblog about the mathematical background of different sets and attractors in the complex plane. Includes downloadable generator and gallery.

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IFS Attractors

http://www.meden.demon.co.uk/Fractals/fractals.html

Index and definition of different attractors. Includes images, plots and glossary.

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Images From Chaos

http://www.cps.unizar.es/~jlsubias/

Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain.

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Introduction to Lacunarity

http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html

Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications.

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Introduction: Chaos, Fractals And Attractors

http://www.ecometry.biz/

Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references.

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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. Includes basics, concept, formulations and references.

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Julia and Mandelbrot Set Explorer

http://aleph0.clarku.edu/~djoyce/julia/explorer.html

Online navigator for various sets and attractors from the Clark University. Includes background and a short course on complex numbers.

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Kleinian Groups Pictures

http://klein.math.okstate.edu/kleinian/

Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.

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Mandelbrot, Benoit B.

http://www.math.yale.edu/mandelbrot/

Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews.

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