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Chaos and Fractals Sites


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.
aleph0.clarku.edu/~djoyce/julia/explorer.html
Kleinian Groups Pictures
Discusses the mathematical theory of Kleinian groups. Includes illustrations , examples , formalism and program source code.
klein.math.okstate.edu/kleinian/
Mandelbrot, Benoit B.
Founder of fractal geometry. Includes biography , vita , publications , interviews , and reviews.
www.math.yale.edu/mandelbrot/
Mathematical Figures Using Mathematica
Collection of sets and attractors. Includes Mathematica source code , mathematical formulations and illustrations.
mathforum.org/advanced/robertd/
Mathematics: Stilldreamer
Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code.
www.stilldreamer.com/mathematics/
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.
aleph0.clarku.edu/~djoyce/newton/newton.html
Quantum Jumps, EEQT and the Five Platonic Fractals
Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats , mathematical framework and bibliography.
quantumfuture.net/quantum_future/papers/qfract/
Technocosm
Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.
technocosm.org/chaos/
Tetrabrot Fractal Videos
Collection of videos made by rotation , zooming , and cycling through the four-dimensional Tetrabrot sets. Includes basics , mathematical formulations and descriptions.
www.javaspider.com/jfract
The 3x+1 Fractal
Abstract about paper that generalizes the Collatz problem to complex numbers.
www.sciencedirect.com/science/article/pii/S0097849304000366
The Dynamical Systems and Technology Project
Educational resource from the Boston University. Includes mathematical framework and formulation , animated illustrations and calculation spreadsheets.
math.bu.edu/DYSYS/dysys.html
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.
www.ibiblio.org/e-notes/MSet/Contents.htm
The Modular Group and Fractals
Explains the basics of fractals , Riemann Zeta , modular group gamma , Farey fractions and Minkowski question mark. Includes publications.
www.linas.org/math/sl2z.html
Wikipedia Category: Fractals
Collection of encyclopedia articles about self-similar geometric objects with both aesthetical and scientific uses.
en.wikipedia.org/wiki/Category:Fractals
Wikipedia: Fractal
Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.
en.wikipedia.org/wiki/Fractal

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