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See also:
- Science: Math: Applications: Complex Systems (91)
- Science: Math: Differential Equations: Dynamical Systems (68)
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- Fractal Geometry
- 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.
- Mandelbrot, Benoit B.
- Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews.
- Bitshifters
Images generated by different commercial applications. Includes FAQs and tutorial. - Chaos, Fractals, and Arcadia
Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references. - 3D Fractals Bicomplex Dynamics
Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads. - 3D Mountains
Shows how to create fractal mountains, three-dimensional Mandelbrot and Julia sets, convex, stellated and polyhedra. Includes pictures, plots and mathematical formulations. - Dan Freeland
Explains the basics. Includes gallery and free software for exploring different sets and singularities. - The Dynamical Systems and Technology Project
Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets. - The Dynamics of Deterministic Chaos in Numerical Weather Prediction Models
Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. Includes illustrations, scientific publications and references. - Efg's Computer Lab: Fractals and Chaos
Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical backgrounds. - Fractal Brownian Archipelago
Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set. - Fractal Dimensions
Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations. - Fractal Explorer
Tutorial for beginners covering the Mandelbrot and Julia sets, as well as four-dimensional sets. Includes interactive generators and gallery. - Fractal Foundation
Foundation with purpose of educating people about the mathematical theory and the interconnectedness of complex systems. Includes mission statement, mathematical framework, gallery and contact. - Fractal Map
Interactive online Mandelbrot and Julia generator. - Fractals and Multi Layer Coloring Algorithms
Scientific paper of the University of the Basque Country, Spain, addressing the mathematical aspects of multi layer colorization. Includes examples and references. - Fractals Unleashed
Tutorial covering the different types of sets and attractors. Includes mathematical formulations, applets, programs, gallery and an art contest. [English, Russian, Ukrainian] - Homepage of Kristian Gustavsson
Weblog about the mathematical background of different sets and attractors in the complex plane. Includes downloadable generator and gallery. - IFS Attractors
Index and definition of different attractors. Includes images, plots and glossary. - Images From Chaos
Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain. - Introduction: Chaos, Fractals And Attractors
Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references. - Introduction to Lacunarity
Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications. - Iterations and the Mandelbrot Set
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
Online navigator for various sets and attractors from the Clark University. Includes background and a short course on complex numbers. - Kleinian Groups Pictures
Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code. - The Mandelbrot and Julia Sets Anatomy
Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations. - Mathematical Figures Using Mathematica
Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations. - Mathematics: Stilldreamer
Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code. - The Modular Group and Fractals
Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications. - Newton Basins
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. - Project Fractales
Research group at the INRIA national research center, France. Includes research details, publications and software. - Quantum Jumps, EEQT and the Five Platonic Fractals
Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats, mathematical framework and bibliography. - The Spanky Fractal Database
Collection of sets, attractors and related material for free distribution. Includes large categorized index of software, information and links. - Technocosm
Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries. - Tetrabrot Fractal Videos
Collection of videos made by rotation, zooming, and cycling through the four-dimensional Tetrabrot sets. Includes basics, mathematical formulations and descriptions. - Wikipedia: Fractals
Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets. - The 3x+1 Fractal
Paper that generalizes the Collatz problem to complex numbers. Includes insights, results and references. (June 1, 2004) - A Fractal Christmas
Short Article from Inside Science News Service describing the basics. Includes illustrations and links. (December 1, 2003)
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