Newton Basins:
Introduction to basins of attraction for Newton's method and the
fractals they form.
http://aleph0.clarku.edu/~djoyce/newton/newton.html
The Spanky Fractal Database:
Large categorized index of software, information and links.
http://spanky.triumf.ca/
Our Fractal Universe:
A site devoted to covering many different aspects of fractals, such
as mathematics, music, applications, image compression, and advanced
math.
http://library.advanced.org/25810/
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.
http://home.att.net/~Novak.S/
Fractal Explorer:
A fractal tutorial for beginners. Covers Mandelbrot and Julia sets,
as well as 4D fractals. Also features an interactive fractal
generator.
http://www.geocities.com/fabioc
Fractal Dimensions:
An easy to comprehend mathematical approach to understanding the
significance of the applied study of fractals.
http://math.rice.edu/~lanius/fractals/dim.html
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.
http://mitpress.mit.edu/books/FLAOH/cbnhtml/
Introduction to Fractal Lacunarity:
Lacunarity is a counterpart to the fractal dimension, and describes
the degree of gappiness of a fractal. Uses in ecology, and image
analysis.
http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.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)
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.
http://library.advanced.org/26242/
Fractal Pages at Thinks.com:
Enter the wonderful world of fractals - where mathematics meets art
and music.
http://thinks.com/fractals.htm
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.
http://www.mathjmendl.org/chaos/
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.
http://www.ima.org.uk/mathematics/conffractalgeometry.htm
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.
http://www.efg2.com/Lab/FractalsAndChaos
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.
http://www.deepleaf.com/fractal
What are Fractals?:
Explanation of fractals, along with fractal art and uses.
http://www.jracademy.com/~jtucek/math/fractals.html
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.
http://mathforum.org/advanced/robertd/index.html
Mandelbrot Set Explorer:
A Java applet for discovering interesting regions of the Mandelbrot
Set.
http://www.users.nac.net/thegangof4/blackSaturn/mandelbrot/MandelbrotSetExplorer.htm
Fractal Map:
A fun and addictive online Mandelbrot viewer.
http://frac.samurajdata.se/
A Sketchbook on L-systems:
Modeling and visualization of plants using parametric L systems.
http://coco.ccu.uniovi.es/malva/sketchbook/
Mandelbrot and Julia Set Explorer:
Clark University hosts incredible graphic images and links to
fractal and other mathematical methods of imaging.
http://aleph0.clarku.edu/~djoyce/julia/explorer.html
Fractal Text:
Turn words into fractals.
http://b435-boas.stanford.edu/home/science/ftext/index.html
Fractalized!:
Java animations of different fractals, including the Mandelbrot and
Julia sets.
http://www-unix.oit.umass.edu/~dtillber/
Groupe Fractales:
Research group at INRIA Rocquencourt. Research details, publications
and software: FRACLAB, Algon, Xalpha, EASEA.
http://www-rocq.inria.fr/fractales/
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.
http://www.3dfractals.com/
Fractals by Paul Bourke:
Images of several attractors, some Newton Raphson method fractals,
and L systems. Includes programs and explanations how to write such
programs.
http://www.swin.edu.au/astronomy/pbourke/fractals/
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".
http://home.att.net/~Paul.N.Lee/PNL_Fractals.html
IFS Attractors:
Index to Named Fractals.
http://www.meden.demon.co.uk/Fractals/fractals.html
Fractal Archipelago:
Shows how fractals describe the shape of coastlines, and presents an
"atlas" of fractal islands.
http://www.swiss.ai.mit.edu/~rauch/islands
Fractals and Scale:
Discusses original concepts behind fractals and applications of
their scales.
http://life.csu.edu.au/complex/tutorials/tutorial3.html
Climate Dynamics:
Explains a general systems theory for chaos, quantum mechanics and
gravity as applied to weather patterns.
http://www.geocities.com/CapeCanaveral/Lab/5833/
An Introduction To Fractals:
Gives definition and explains the different types of formulas used.
Includes illustrations and bibliography.
http://www.swin.edu.au/astronomy/pbourke/fractals/fracintro/
Technocosm:
Focuses on the visualization of three dimensional strange
attractors. Includes formula derivations and image galleries.
http://technocosm.org/chaos/
Iterations and the Mandelbrot Set:
Discusses how differently the iterations behave depending on which
portions the coefficients are plucked from.
http://www.cut-the-knot.com/blue/Mandel.html
The Mandelbrot and Julia Sets Anatomy:
A virtual investigation with interactive, animated fractals,
articles and fractal math equations.
http://www.people.nnov.ru/fractal/MSet/Contents.htm
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.
http://www.people.nnov.ru/fractal/3Dapp/Mount.htm
Fractal Geometry at Yale University:
Course homepage for the Fractal Geometry course at Yale University.
http://classes.yale.edu/fractals/Welcome.html
Fractals and Chaos:
Provides images, quotes and information on the different types of
fractals.
http://astronomy.swin.edu.au/~pbourke/fractals/
