# Chaos and Fractals

- 1
- Fractal Geometry
- Page 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 software.

- 2
- 3D Fractals Bicomplex Dynamics
- Page http://www.3dfractals.com/
- Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads.

- 3
- Bitshifters
- Page http://bitshifters.com/fractal.html
- Images generated by different commercial applications. Includes FAQs and tutorial.

- 4
- Chaos, Economics and Stock Markets
- Page http://www.bentamari.com/
- Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references.

- 5
- Chaos, Fractals, and Arcadia
- Page 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.

- 6
- Fractals and Multi Layer Coloring Algorithms
- Page http://www.mi.sanu.ac.rs/vismath/javier1/
- Scientific paper of the University of the Basque Country, Spain, addressing the mathematical aspects of multi layer colorization. Includes examples and references.

- 7
- Fractals: The Beautiful Complex Patterns Generated by Simple Iterative Computations
- Page http://amselvam.webs.com/
- Outlines a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. Includes illustrations, scientific publications and references.

- 8
- IFS Attractors
- Page http://www.meden.demon.co.uk/Fractals/fractals.html
- Index and definition of different attractors. Includes images, plots and glossary.

- 9
- Images From Chaos
- Page http://www.cps.unizar.es/~jlsubias/
- Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain.

- 10
- Introduction to Lacunarity
- Page http://groups.csail.mit.edu/mac/users/rauch/lacunarity/lacunarity.html
- Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications.

- 11
- Iterations and the Mandelbrot Set
- Page http://www.cut-the-knot.org/blue/Mandel.shtml
- Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. Includes basics, concept, formulations and references.

- 12
- Julia and Mandelbrot Set Explorer
- Page 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.

- 13
- Kleinian Groups Pictures
- Page http://klein.math.okstate.edu/kleinian/
- Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.

- 14
- Mathematical Figures Using Mathematica
- Page http://mathforum.org/advanced/robertd/
- Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations.

- 15
- Newton Basins
- Page 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.

- 16
- Technocosm
- Page http://technocosm.org/chaos/
- Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.

- 17
- The Dynamical Systems and Technology Project
- Page http://math.bu.edu/DYSYS/dysys.html
- Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets.

- 18
- The Mandelbrot and Julia Sets Anatomy
- Page 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.