 Chaos, Fractals, and Arcadia - 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. |
 The Dynamical Systems and Technology Project - http://math.bu.edu/DYSYS/dysys.html Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets. |
 Fractal Brownian Archipelago - http://swiss.csail.mit.edu/~rauch/islands/ Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set. |
 Introduction to Lacunarity - http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications. |
 The 3x+1 Fractal - http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYG-4C47CDM-5&_coverDate=06%2F30%2F2004&_alid=262438467&_rdoc=1&_fmt=&_orig=search&_qd=1&_cdi=5618&_sort=d&view=c&_acct=C000043379&_version=1&_urlVersion=0&_userid=791130&md5=92c370a59ff53edd249c2 Paper that generalizes the Collatz problem to complex numbers. Includes insights, results and references. |
 Fractal Dimensions - http://math.rice.edu/~lanius/fractals/dim.html Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations. |
 Bitshifters - http://bitshifters.com/fractal.html Images generated by different commercial applications. Includes FAQs and tutorial. |
 Fractal Geometry - 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. |
 Mandelbrot, Benoit B. - http://www.math.yale.edu/mandelbrot/ Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews. |
 IFS Attractors - http://www.meden.demon.co.uk/Fractals/fractals.html Index and definition of different attractors. Includes images, plots and glossary. |
 Tetrabrot Fractal Videos - http://www.javaspider.com/jfract Collection of videos made by rotation, zooming, and cycling through the four-dimensional Tetrabrot sets. Includes basics, mathematical formulations and descriptions. |
 Mathematics: Stilldreamer - http://www.stilldreamer.com/mathematics/ Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code. |
 Efg's Computer Lab: Fractals and Chaos - http://www.efg2.com/Lab/FractalsAndChaos Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical backgrounds. |
 The Modular Group and Fractals - http://www.linas.org/math/sl2z.html Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications. |
 Quantum Jumps, EEQT and the Five Platonic Fractals - http://quantumfuture.net/quantum_future/papers/qfract/ Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats, mathematical framework and bibliography. |
 Fractals Unleashed - http://library.thinkquest.org/26242/ Tutorial covering the different types of sets and attractors. Includes mathematical formulations, applets, programs, gallery and an art contest. [English, Russian, Ukrainian] |
 Mathematical Figures Using Mathematica - http://mathforum.org/advanced/robertd/ Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations. |
 Project Fractales - http://complex.inria.fr/ Research group at the INRIA national research center, France. Includes research details, publications and software. |
 Kleinian Groups Pictures - http://klein.math.okstate.edu/kleinian/ Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code. |
 Fractal Foundation - http://www.fractalfoundation.org Foundation with purpose of educating people about the mathematical theory and the interconnectedness of complex systems. Includes mission statement, mathematical framework, gallery and contact. |
 Dan Freeland - http://homepage.ntlworld.com/daniel.freeland/ Explains the basics. Includes gallery and free software for exploring different sets and singularities. |
 The Spanky Fractal Database - http://spanky.triumf.ca/ Collection of sets, attractors and related material for free distribution. Includes large categorized index of software, information and links. |
 Iterations and the Mandelbrot Set - http://www.cut-the-knot.com/blue/Mandel.html Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. Includes basics, concept, formulations and references. |
 Julia and Mandelbrot Set Explorer - 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. |
 Newton Basins - 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. |
 Wikipedia: Fractals - http://en.wikipedia.org/wiki/Fractals Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets. |
 The Mandelbrot and Julia Sets Anatomy - 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. |
 3D Mountains - http://www.ibiblio.org/e-notes/3Dapp/Mount.htm Shows how to create fractal mountains, three-dimensional Mandelbrot and Julia sets, convex, stellated and polyhedra. Includes pictures, plots and mathematical formulations. |
 Technocosm - http://technocosm.org/chaos/ Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries. |
 3D Fractals Bicomplex Dynamics - http://www.3dfractals.com/ Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads. |
 Images From Chaos - http://www.cps.unizar.es/~jlsubias/ Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain. |
 Fractal Map - http://frac.samurajdata.se/ Interactive online Mandelbrot and Julia generator. |
 Homepage of Kristian Gustavsson - http://www.dd.chalmers.se/~f99krgu/main/index.html Weblog about the mathematical background of different sets and attractors in the complex plane. Includes downloadable generator and gallery. |
 Fractals: The Beautiful Complex Patterns Generated by Simple Iterative Computations - 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. |
 Introduction: Chaos, Fractals And Attractors - http://www.ecometry.biz/ Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references. |