3D Fractals Bicomplex Dynamics
Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads.
An Introduction to Julia and Mandelbrot Sets
Explains the mathematical basics of Julia and Mandelbrot sets. Addresses principles, and complex plane algorithms. [English, Italian]
Chaos, Fractals, and Arcadia
Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references.
Fractal Brownian Archipelago
Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set.
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…
Introduction to Lacunarity
Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications.
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.
Mathematical Figures Using Mathematica
Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations.
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 framewo…
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.
Technocosm
Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.
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.
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.
The Modular Group and Fractals
Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications.
Wikipedia: Fractals
Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.