Chaos and Fractals
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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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- Chaos, Economics and Stock Markets
- Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references.
- 4
- Chaos, Fractals, and Arcadia
- Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references.
- 5
- Fractals and Multi Layer Coloring Algorithms
- 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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- Introduction to Lacunarity
- Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications.
- 8
- Iterations and the Mandelbrot Set
- Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. Includes basics, concept, formulations and references.
- 9
- 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.
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- Kleinian Groups Pictures
- Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.
- 11
- Mathematical Figures Using Mathematica
- Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations.
- 12
- Newton Basins
- 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.
- 13
- Technocosm
- Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.
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- The Dynamical Systems and Technology Project
- Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets.
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- The Mandelbrot and Julia Sets Anatomy
- Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations.
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- Wikipedia Category: Fractals
- Collection of encyclopedia articles about self-similar geometric objects with both aesthetical and scientific uses.
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- Wikipedia: Fractal
- Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.