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Fractal Geometry  -
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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Mandelbrot, Benoit B. -
Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews.
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3D Fractals Bicomplex Dynamics -
Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads.
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3D Mountains -
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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A Fractal Christmas -
Short Article from Inside Science News Service describing the basics. Includes illustrations and links.
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An Introduction to Julia and Mandelbrot Sets -
Explains the mathematical basics of Julia and Mandelbrot sets. Addresses principles, and complex plane algorithms. [English, Italian]
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Bitshifters -
Images generated by different commercial applications. Includes FAQs and tutorial.
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Chaos, Fractals, and 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 -
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.
Status Code: 301 - Location: http://www.efg2.com/Lab/FractalsAndChaos/ Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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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.
Status Code: 301 - Location: http://groups.csail.mit.edu/mac/~rauch/islands/ Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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Fractal Dimensions - http://swiss.csail.mit.edu/~rauch/islands/
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://swiss.csail.mit.edu/~rauch/islands/
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.
Status Code: 200 - Location: http://www.fractalfoundation.org/index.html Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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Fractal Map - http://www.fractalfoundation.org
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.
Status Code: 301 - Location: http://www.mi.sanu.ac.yu/vismath/javier1/ Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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Fractals Unleashed - http://www.mi.sanu.ac.yu/vismath/javier1
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.mi.sanu.ac.yu/vismath/javier1
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.mi.sanu.ac.yu/vismath/javier1
Index and definition of different attractors. Includes images, plots and glossary.
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Images From Chaos - http://www.mi.sanu.ac.yu/vismath/javier1
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.
Status Code: 301 - Location: http://groups.csail.mit.edu/mac/~rauch/lacunarity/lacunarity.html Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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Introduction: Chaos, Fractals And Attractors - http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html
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.
Status Code: 301 - Location: http://www.cut-the-knot.org/blue/Mandel.shtml Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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Julia and Mandelbrot Set Explorer - http://www.cut-the-knot.com/blue/Mandel.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://www.cut-the-knot.com/blue/Mandel.html
Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.
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Mathematical Figures Using Mathematica - http://www.cut-the-knot.com/blue/Mandel.html
Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations.
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Mathematics: Stilldreamer - http://www.cut-the-knot.com/blue/Mandel.html
Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code.
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NASA: Fractal Clouds - http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/FractalClouds.html
Information on the modeling aspects of cloud forms and structures, and their implications for climate. Including descriptions of cloud types, movies, glossary and publications.
Status Code: 302 - Location: http://climate.gsfc.nasa.gov/userpage/cahalan/FractalClouds/FractalClouds.html Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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Newton Basins - http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/FractalClouds.html
Article about the basins of attraction for the Newton's method for finding roots of equations and their resulting representation in the complex plane. Includes mathematical framework and examples.
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Project Fractales - http://complex.inria.fr/
Research group at the INRIA national research center, France. Includes research details, publications and software.
Status Code: 302 - Location: http://complex.futurs.inria.fr Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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Quantum Jumps, EEQT and the Five Platonic Fractals - http://quantumfuture.net/quantum_future/papers/qfract/
Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats, mathematical framework and bibliography.
Status Code: 301 - Location: http://quantumfuture.net/arkadiusz-jadczyk/papers/qfract/ Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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Technocosm - http://quantumfuture.net/quantum_future/papers/qfract/
Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.
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Tetrabrot Fractal Videos - http://www.javaspider.com/jfract
Collection of videos made by rotation, zooming, and cycling through the four-dimensional Tetrabrot sets. Includes basics, mathematical formulations and descriptions.
Status Code: 301 - Location: http://www.javaspider.com/jfract/ Edit listing [dmoz.org] - Report dead link [dmoz.org] - Edit Category [dmoz.org] |
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The 3x+1 Fractal - http://www.javaspider.com/jfract
Paper that generalizes the Collatz problem to complex numbers. Includes insights, results and references.
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The Dynamical Systems and Technology Project - http://www.javaspider.com/jfract
Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets.
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The Dynamics of Deterministic Chaos in Numerical Weather Prediction Models - http://www.javaspider.com/jfract
Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. Includes illustrations, scientific publications and references.
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The Mandelbrot and Julia Sets Anatomy - http://www.javaspider.com/jfract
Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations.
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The Modular Group and Fractals - http://www.javaspider.com/jfract
Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications.
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The Spanky Fractal Database - http://www.javaspider.com/jfract
Collection of sets, attractors and related material for free distribution. Includes large categorized index of software, information and links.
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Wikipedia: Fractals - http://www.javaspider.com/jfract
Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.
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