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Home / Science / Math / Chaos and Fractals
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- 3D Fractals using Bicomplex Dynamics - The Tetrabrot is the bicomplex generalization of the Mandelbrot set as realized by Dominic 'Ramdam' Rochon. Articles, pictures, news and other downloads.
www.3dfractals.com
- A Sketchbook on L-systems - Modeling and visualization of plants using parametric L systems.
coco.ccu.uniovi.es/malva/sketchbook
- An Introduction To Fractals - Gives definition and explains the different types of formulas used. Includes illustrations and bibliography.
www.swin.edu.au/astronomy/pbourke/fractals/fracintro
- Aunty Pear's Art of Heart - Features basic, Sterling and Photo Impact tutorials. Also has graphic sets and calling cards.
auntypear1.topcities.com/menu.htm
- Cassiopaea - Explains how quantum jumps generate new family of fractals on the spherical canvas S^2. Includes graphics of the five Platonic fractals in several formats.
www.cassiopaea.org/perseus/qfractals.htm
- Center for Complex Systems Research - A research group which studies phenomena of systems with a large flow, such as turbulence, lightenings, and information flow on the internet. Uses nonlinear dynamics, neural nets, cellular automata, genetic algorithms, and artificial life models to describe these complex systems.
www.ccsr.uiuc.edu
- Chaos Theory and Fractals - History of chaos as well as extensive information on Chaos Theory and fractals. Contains several pictures of fractals and links to other Chaos Theory and fractals pages.
www.mathjmendl.org/chaos
- Chaos Theory Resources - Fractals - Directories - Links - A Directory of Internet resources on chaos theory and fractals.
www.academicinfo.net/mathchaos.html
- Climate Dynamics - Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns.
www.geocities.com/CapeCanaveral/Lab/5833
- Dynamical Systems and Technology Project - An educational site on chaos and fractals.
math.bu.edu/DYSYS/dysys.html
- Dynamical Systems Data Base - Data base of around 50,000 planar dynamical systems.
alephwww.cern.ch/~zito/chep94sl/sd.html
- efg's Computer Lab: Fractals and Chaos Page - Several Fractal and Chaos projects, including "Evolution of Mandelbrot Set," Fractal Discovery Lab, IFS images, Lorenz and other Strange Attractors.
www.efg2.com/Lab/FractalsAndChaos
- Fantastic Fractals - Tutorials for all ages, fractal-generated music and realistic landscapes. The Fantastic Fractals 98 software is available for download. Workshop, message boards, and discussion forum.
tqd.advanced.org/12740/index.html
- Fractal Adventures - The purpose of this site is to help the beginner to create fractal images. An overview of programs is provided along with a program-related fractal Gallery.
home.att.net/~Novak.S
- Fractal Archipelago - Shows how fractals describe the shape of coastlines, and presents an "atlas" of fractal islands.
www.swiss.ai.mit.edu/~rauch/islands
- Fractal Clouds Info - Fractal Clouds (i.e., made of water).
climate.gsfc.nasa.gov/~cahalan/FractalClouds
- Fractal Dimensions - An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals.
math.rice.edu/~lanius/fractals/dim.html
- Fractal Explorer - A fractal tutorial for beginners. Covers Mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator.
www.geocities.com/fabioc
- Fractal Geometry: Mathematical Techniques, Algorithms and Applications - The IMA conference on Fractal Geometry will be held from 20-22 September 2000. The conference will be a forum for discussing the mathematical basis of fractal geometry, the computer implementation of fractal algorithms and their applications to modelling and analysing complex processes and patterns.
www.ima.org.uk/mathematics/conffractalgeometry.htm
- Fractal Journeys - a beautiful page of fractal imagery with a simple explanation of what it means to be fractal and sequences of images each of which record a journey down into an area of the Mandelbrot set - plus a key to indicate how each image was derived from the previous one.
www.deepleaf.com/fractal
- Fractal Map - A fun and addictive online Mandelbrot viewer.
frac.samurajdata.se
- Fractal Pages at Thinks.com - Enter the wonderful world of fractals - where mathematics meets art and music.
thinks.com/fractals.htm
- Fractal Pages of Paul N. Lee - Computer Generated Fractal Images -- plus an exhaustive list of fractal generators, galleries featuring fractals, and other fractal related information, such as the "Fractal Census".
home.att.net/~Paul.N.Lee/PNL_Fractals.html
- Fractal Screensavers - A site with two free Screensavers. Each is a fractal produced by a random number generator and a set of transformations.(Based on Barnsley's Chaos Game)
www.geocities.com/ResearchTriangle/System/8956/mall/ssaver.htm
- Fractal Seeks Wavelet - A research project for De Montfort exploring links between Fractals and Wavelets for 1D-Signals.
www.cms.dmu.ac.uk/~hgt/e_index.html
- Fractal Text - Turn words into fractals.
b435-boas.stanford.edu/home/science/ftext/index.html
- Fractalized! - Java animations of different fractals, including the Mandelbrot and Julia sets.
www-unix.oit.umass.edu/~dtillber
- Fractals and Scale - Discusses original concepts behind fractals and applications of their scales.
life.csu.edu.au/complex/tutorials/tutorial3.html
- Fractals by Paul Bourke - Images of several attractors, some Newton Raphson method fractals, L systems and more. Includes programs and explanations how to write such programs.
www.swin.edu.au/astronomy/pbourke/fractals
- Fractals Unleashed - The most comprehensive website about fractals on the net. Contains enourmous amounts of information, including fractal applications, lots of Java applets and CGI programs, a well-organized gallery, and a fractal art contest. Download software and learn how to program fractal.
library.advanced.org/26242
- Fractals: Nature's Numbers? - This site explores the relationship between nature and numbers with fractals.
fas.sfu.ca/1/cs/people/GradStudents/darylh/personal/images/present/nat-num
- Groupe Fractales - Research group at INRIA Rocquencourt. Research details, publications and software: FRACLAB, Algon, Xalpha, EASEA.
www-rocq.inria.fr/fractales
- IFS Attractors - Index to Named Fractals.
www.meden.demon.co.uk/Fractals/fractals.html
- Interactive 3D Fractals - Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. Uses tiny Java1.1 applets and VRML worlds.
www.ipm.sci-nnov.ru/~demidov/3Dapp/Mount.htm
- Introduction to Fractal Lacunarity - Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. It finds many uses in ecology, image analysis, etc.
www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html
- Limit Sets of Kleinian Groups - Graphics, software.
klein.math.okstate.edu/kleinian
- Mandelbrot and Julia Set Explorer - Clark University hosts incredible graphic images and links to fractal and other mathematical methods of imaging.
aleph0.clarku.edu/~djoyce/julia/explorer.html
- Mandelbrot Set Explorer - A Java applet for discovering interesting regions of the Mandelbrot Set.
www.users.nac.net/thegangof4/blackSaturn/mandelbrot/MandelbrotSetExplorer.htm
- Mathematical Figures Using Mathematica - Robert M. Dickau's page. The "Fractals and Chaos" section has figures of attractors, L-systems in 2 and 3 dimensions, Sierpinski gaskets, bifurcation, and Julia and Mandelbrot sets. Includes Mathematica code.
mathforum.org/advanced/robertd/index.html
- Newton Basins - Introduction to basins of attraction for Newton's method and the fractals they form.
aleph0.clarku.edu/~djoyce/newton/newton.html
- Our Fractal Universe - A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math.
library.advanced.org/25810
- Sean Reed's Fractal Resource Page - Includes images, information and resource links.
wind.prohosting.com/sreed1/fractal.html
- Technocosm - Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries.
technocosm.org/chaos
- The Chaos Game - This site outlines Barnsley's Chaos Game, in which a random number generator is used to produce various fractals.
www.geocities.com/ResearchTriangle/System/8956/Fractal/intro.htm
- The Computational Beauty of Nature - Companion site for the book by Gary William Flake. Contains applets and source code for simulations of fractals, chaos, complex systems, and adaptation.
mitpress.mit.edu/books/FLAOH/cbnhtml
- The Fractal Translight Newsletter - A News Letter of Fractals, Chaos, Art, Poetry and Graphics run by Roger L. Bagula.
fractals.jumpfun.com
- The Mandelbrot and Julia Sets Anatomy - A virtual investigation with interactive, animated fractals, articles and fractal math equations.
www.ipm.sci-nnov.ru/~DEMIDOV/MSet/contents.htm
- The Spanky Fractal Database - Large categorized index.
spanky.triumf.ca
- What are Fractals? - Explanation of fractals, along with fractal art and uses.
www.jracademy.com/~jtucek/math/fractals.html
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