Lonesome Electric Ostrich

Samples of simple fractal (left) and multifractal (right) following a Multiplicative Random Process. See Martinez, Jones, Dominguez-Tenreiro, van de Weygaert 1990 for more details.

Benoit Mandelbrot proposed a fractal model in 1975 for explaining the clustering and distribution of galaxies based on Rayleigh-Lévy random walks. These are samples of points generated following this model. Colors denote different random walks, while the size of the points decreases along the walk.