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Wectar - Science - Math - Chaos and Fractals

         

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URL: http://classes.yale.edu/fractals/
ODP description: 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 softwares.

URL: http://www.math.yale.edu/mandelbrot/
ODP description: Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews.
Page title: Benoit B. Mandelbrot
Page description: Official Biography site. Benoit B. Mandelbrot is the world's foremost impetus for the advancement of Fractal Geometry. Learn about his life and work.

URL: http://spanky.triumf.ca/
ODP description: Collection of sets, attractors and related material for free distribution. Includes large categorized index of software, information and links.
Page title: Spanky Welcome

URL: http://aleph0.clarku.edu/~djoyce/julia/explorer.html
ODP description: Online navigator for various sets and attractors from the Clark University. Includes background and a short course on complex numbers.
Page title: Mandelbrot and Julia Set Explorer

URL: http://en.wikipedia.org/wiki/Fractals
ODP description: Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.
Page title: Fractal - Wikipedia, the free encyclopedia

URL: http://math.bu.edu/DYSYS/arcadia/
ODP description: Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references.

URL: http://www.ibiblio.org/e-notes/MSet/Contents.htm
ODP description: Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations.
Page title: The Mandelbrot set Anatomy: Contents

URL: http://www.3dfractals.com/
ODP description: Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads.
Page title: 3D Fractals

URL: http://math.bu.edu/DYSYS/dysys.html
ODP description: Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets.

URL: http://www.geocities.com/fabioc/
ODP description: Tutorial for beginners covering the Mandelbrot and Julia sets, as well as four-dimensional sets. Includes interactive generators and gallery.
Page title: Fractal Explorer: Mandelbrot and Julia sets (by Fabio Cesari)
Page description: A fractal tutorial for beginners by Fabio Cesari

URL: http://frac.samurajdata.se/
ODP description: Interactive online Mandelbrot and Julia generator.
Page description: Fractal Map - A fun and addictive online fractal viewer. No Java required

URL: http://library.thinkquest.org/26242/
ODP description: Tutorial covering the different types of sets and attractors. Includes mathematical formulations, applets, programs, gallery and an art contest. [English, Russian, Ukrainian]
Page title: Fractals Unleashed - Team 26242

URL: http://math.rice.edu/~lanius/fractals/dim.html
ODP description: Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations.
Page title: Cynthia Lanius' Fractals Unit: Fractal Dimension

URL: http://aleph0.clarku.edu/~djoyce/newton/newton.html
ODP description: 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.

URL: http://swiss.csail.mit.edu/~rauch/islands/
ODP description: Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set.
Page title: Fractal Brownian Islands exhibit - Fractional Brownian Motion - fractals and coastline

URL: http://klein.math.okstate.edu/kleinian/
ODP description: Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.

URL: http://www.ecometry.biz/
ODP description: Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references.
Page title: Ecometry

URL: http://www.ibiblio.org/e-notes/3Dapp/Mount.htm
ODP description: Shows how to create fractal mountains, three-dimensional Mandelbrot and Julia sets, convex, stellated and polyhedra. Includes pictures, plots and mathematical formulations.

URL: http://technocosm.org/chaos/
ODP description: Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.
Page title: technocosm.org - Math, Chaos, and Fractals

URL: http://www.linas.org/math/sl2z.html
ODP description: Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications.
Page description: An exposition of the relationship between fractals, the Riemann Zeta, the Modular Group Gamma and the Farey Fractions

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