Iteration dynamics: from convergence to fractals
Apply one rule again and again, and compare fixed points, short periods, dense long-run values, and self-repeating fractals.
Fractals
5 pieces about this concept, across works, topic guides, and exam visualizations.
Topics
Works
Sierpinski triangle
A self-similar triangle fractal, made by recursively removing the middle triangle or by the chaos game.
Iterated affine fractal
An iterated function system (IFS) iterates several affine maps and generates a self-similar fractal.
Julia set
Iterating z to z squared plus c on the complex plane draws a fractal boundary and its self-similar structure.
Mandelbrot set and Julia set
Pick c on the Mandelbrot set and the corner draws the corresponding Julia set.