Chaos and Fractals Math Science

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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Chaos and Fractals

Chaos Fractal Art Software

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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 software.
Mandelbrot, Benoit B. - Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews.

• Homepage of Kristian Gustavsson - Weblog about the mathematical background of different sets chaos and fractals chaos and fractals and attractors in the complex plane. Includes downloadable chaos and fractals chaos and fractals generator and gallery.
• Fractal Brownian Archipelago - Shows how brownian motion can model the shape chaos and fractals of coastlines. Includes interactive demonstration and a collection chaos and fractals of island set.
• Mathematical Figures Using Mathematica - Collection of sets and attractors. Includes Mathematica source code, mathematical science formulations and illustrations.
• The Mandelbrot and Julia Sets Anatomy - Scientific publication about the anatomy of different sets and attractors math and chaotic dynamics. Includes animated samples, articles and mathematical formulations.
• Fractal Foundation - Foundation with purpose of educating people about the math mathematical theory and the interconnectedness of complex systems. math Includes mission statement, mathematical framework, gallery and contact.
• The Dynamical Systems and Technology Project - Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets.
• A Fractal Christmas - Short Article from Inside Science News Service describing math the basics. Includes illustrations and links.
• Efg's Computer Lab: Fractals and Chaos - Software and information resource on the Mandelbrot set, geometrical explosion chaos and fractals sets, and attractors. Includes diagrams and mathematical backgrounds.
• Julia and Mandelbrot Set Explorer - Online navigator for various sets and attractors from the Clark University. Includes background and a short course on complex numbers.
• Fractals Unleashed - Tutorial covering the different types of sets and science attractors. Includes science mathematical formulations, applets, programs, gallery and science an art contest. [English, science Russian, Ukrainian]
• Introduction to Lacunarity - Analysis of the degree of gappiness of different sets. Includes chaos and fractals mathematical aspects, results and publications.
• Newton Basins - Article about the basins of attraction for the math Newton\\'s method for finding roots of equations and math their resulting representation in the complex plane. Includes math mathematical framework and examples.
• Fractals and Multi Layer Coloring Algorithms - Scientific paper of the University of the Basque math Country, Spain, science addressing the mathematical aspects of multi math layer colorization. Includes examples science and references.
• The Dynamics of Deterministic Chaos in Numerical Weather Prediction Models - Explains a general systems theory for chaos, quantum chaos and fractals mechanics and gravity as applied to weather patterns. chaos and fractals Includes illustrations, scientific publications and references.
• Fractal Map - Interactive online Mandelbrot and Julia generator.
• 3D Fractals Bicomplex Dynamics - Resource on the bicomplex generalization of the Mandelbrot math set. Includes scientific publications, illustrations, news and downloads.
• Bitshifters - Images generated by different commercial applications. Includes FAQs math and tutorial.
• The 3x+1 Fractal - Paper that generalizes the Collatz problem to complex math numbers. Includes insights, results and references.
• Fractal Explorer - Tutorial for beginners covering the Mandelbrot and Julia math sets, as well as four-dimensional sets. Includes interactive math generators and gallery.
• The Spanky Fractal Database - Collection of sets, attractors and related material for science free distribution. Includes large categorized index of software, science information and links.
• Kleinian Groups Pictures - Discusses the mathematical theory of Kleinian groups. Includes math illustrations, examples, formalism and program source code.
• Fractal Dimensions - Easy to comprehend mathematical approach to understanding the math significance of the applied study of fractals and math attractors. Includes didactic examples and illustrations.
• Dan Freeland - Explains the basics. Includes gallery and free software math for exploring chaos and fractals different sets and singularities.
• Chaos, Fractals, and Arcadia - Article on the mathematical ideas lurking in the math background of Tom Stoppard\'s play Arcadia. Includes examples, math illustrations and references.
• Quantum Jumps, EEQT and the Five Platonic Fractals - Explains how quantum jumps generate new family of math fractals on spherical canvas. Includes graphics in math several formats, mathematical framework and bibliography.
• Iterations and the Mandelbrot Set - Discusses how differently the iterations behave depending on which portions science the coefficients are plucked from. Includes basics, concept, formulations and science references.
• The Modular Group and Fractals - Explains the basics of fractals, Riemann Zeta, modular science group gamma, Farey fractions and Minkowski question mark. science Includes publications.
• Tetrabrot Fractal Videos - Collection of videos made by rotation, zooming, and chaos and fractals science cycling through the four-dimensional Tetrabrot sets. Includes basics, chaos and fractals science mathematical formulations and descriptions.
• IFS Attractors - Index and definition of different attractors. Includes images, plots and chaos and fractals glossary.
• Images From Chaos - Gallery of chaotic and complex systems and attractors chaos and fractals from the University of Zaragoza, Spain.
• Introduction: Chaos, Fractals And Attractors - Introduction to chaos, attractors and dynamic systems theory. science Includes mathematical math formulation, images and references.
• Mathematics: Stilldreamer - Explains the basics of Sierpinski systems and other chaos and fractals sets. Includes interactive example programs with source code.
• Project Fractales - Research group at the INRIA national research center, France. Includes math research details, publications and software.
• Technocosm - Focuses on the visualization of three dimensional attractors. chaos and fractals science Includes formula derivations and image galleries.
• 3D Mountains - Shows how to create fractal mountains, three-dimensional Mandelbrot science and Julia chaos and fractals sets, convex, stellated and polyhedra. Includes science pictures, plots and mathematical chaos and fractals formulations.
• Wikipedia: Fractals - Free encyclopedia article covering historical aspects and mathematical math formulations. Includes science two and three dimensional illustration sets.

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