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 DIRECTORY/Science/Tech/Math/Chaos and Fractals (289)
i03D Fractals Bicomplex Dynamics - http://www.3dfractals.com/ - Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads.
 
i03D 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.
 
i0A Fractal Christmas - http://www.aip.org/isns/reports/2003/086.html - Short Article from Inside Science News Service describing the basics. Includes illustrations and links.
 
i0An 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]
 
i0Bitshifters - http://bitshifters.com/fractal.html - Images generated by different commercial applications. Includes FAQs and tutorial.
 
i0Chaos, 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.
 
i0Dan Freeland - http://homepage.ntlworld.com/daniel.freeland/ - Explains the basics. Includes gallery and free software for exploring different sets and singularities.
 
i0Efg'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.
 
i0Fractal 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.
 
i0Fractal 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.
 
i0Fractal 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.
 
i0Fractal 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.
 
i0Fractal 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.
 
i0Fractal Map - http://frac.samurajdata.se/ - Interactive online Mandelbrot and Julia generator.
 
i0Fractals 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]
 
i0Fractals 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.
 
i0Fractals 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.
 
i0Homepage 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.
 
i0IFS Attractors - http://www.meden.demon.co.uk/Fractals/fractals.html - Index and definition of different attractors. Includes images, plots and glossary.
 
i0Images From Chaos - http://www.cps.unizar.es/~jlsubias/ - Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain.
 
i0Introduction 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.
 
i0Introduction: Chaos, Fractals And Attractors - http://www.ecometry.biz/ - Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references.
 
i0Iterations 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.
 
i0Julia 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.
 
i0Kleinian Groups Pictures - http://klein.math.okstate.edu/kleinian/ - Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.
 
i0Mandelbrot, Benoit B. - http://www.math.yale.edu/mandelbrot/ - Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews.
 
i0Mathematical Figures Using Mathematica - http://mathforum.org/advanced/robertd/index.html - Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations.
 
i0Mathematics: Stilldreamer - http://www.stilldreamer.com/mathematics/ - Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code.
 
i0NASA: 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.
 
i0Newton Basins - http://aleph0.clarku.edu/~djoyce/newton/newton.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.
 
i0Project Fractales - http://complex.inria.fr/ - Research group at the INRIA national research center, France. Includes research details, publications and software.
 
i0Quantum 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.
 
i0Technocosm - http://technocosm.org/chaos/ - Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.
 
i0Tetrabrot 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.
 
i0The 3x+1 Fractal - http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYG-4C47CDM-5&_coverDate=06%2F30%2F2004&_alid=262438467&_rdoc=1&_fmt=&_orig=search&_qd=1&_cdi=5618&_sort=d&view=c&_acct=C000043379&_version=1&_urlVersion=0&_userid=791130&md5=92c370a59ff53edd249c27a91b0ed72e - Paper that generalizes the Collatz problem to complex numbers. Includes insights, results and references.
 
i0The Dynamical Systems and Technology Project - http://math.bu.edu/DYSYS/dysys.html - Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets.
 
i0The Dynamics of Deterministic Chaos in Numerical Weather Prediction Models - http://www.geocities.com/CapeCanaveral/Lab/5833/ - Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. Includes illustrations, scientific publications and references.
 
i0The Mandelbrot and Julia Sets Anatomy - http://www.ibiblio.org/e-notes/MSet/Contents.htm - Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations.
 
i0The Modular Group and Fractals - http://www.linas.org/math/sl2z.html - Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications.
 
i0The Spanky Fractal Database - http://spanky.triumf.ca/ - Collection of sets, attractors and related material for free distribution. Includes large categorized index of software, information and links.
 
i0What are Fractals? - http://www.jracademy.com/~jtucek/math/fractals.html - Explains the basics, adressing definitions, dimensions and uses. Includes gallery and resources.
 
i0Wikipedia: Fractals - http://en.wikipedia.org/wiki/Fractals - Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.
 
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