Discover infinite complexity arising from simple equations through 29 interactive demonstrations. Zoom into the Mandelbrot set, watch strange attractors evolve, and explore emergent behavior in cellular automata.
See also: Differential Equations for the chaotic dynamics underlying strange attractors, Measure Theory for Hausdorff dimension and self-similarity, and Topology for the difference between topological and fractal dimension.
Self-similarity, fractal dimension, and fractals in nature
Infinite complexity from z² + c - zoom forever into mathematical beauty
Each point in Mandelbrot has its own Julia set - explore the connection
The butterfly that started chaos theory - sensitivity to initial conditions
Period doubling, the Feigenbaum constant, and the road to chaos
Rössler, Hénon, Clifford - beautiful patterns from simple equations
Conway's Game of Life, Wolfram's rules, and emergent complexity
Sierpinski, Koch, Menger - constructing infinite detail