Chaos and Fractals
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A fractal is a chaotic mathematic object which can be divided into parts, each of which is similar to the original object. Fractals are said to possess infinite detail, and are generally self-similar and independent of scale. In many cases a fractal can be generated by a repeating pattern, typically a recursive or iterative process. The term fractal was coined in 1975 by Benoît Mandelbrot, from the Latin fractus or "broken"/"fraction". Chaos theory, in mathematics and physics, deals with the behavior of certain nonlinear dynamical systems that (under certain conditions) exhibit the phenomenon known as chaos, most famously characterised by sensitivity to initial conditions. Systems that exhibit mathematical chaos are deterministic and thus orderly in some sense; this technical use of the word chaos is at odds with common parlance, which suggests complete disorder.

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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.
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The Dynamical Systems and Technology Project
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Efg's Computer Lab: Fractals and Chaos
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Fractal Brownian Archipelago
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Fractal Dimensions
Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations.
Fractal Foundation
Foundation with purpose of educating people about the mathematical theory and the interconnectedness of complex systems. Includes mission statement, mathematical framework, gallery and contact.
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.
Homepage of Kristian Gustavsson
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Images From Chaos
Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain.
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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.
Julia and Mandelbrot Set Explorer
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Kleinian Groups Pictures
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The Mandelbrot and Julia Sets Anatomy
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Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations.
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Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications.
Newton Basins
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Quantum Jumps, EEQT and the Five Platonic Fractals
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Wikipedia Category: Fractals
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Wikipedia: Fractal
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The 3x+1 Fractal
Abstract about paper that generalizes the Collatz problem to complex numbers. (June 01, 2004)

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Last update:
January 27, 2017 at 10:54:08 UTC
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