owochanriemannsigma's definitions

Fractal

An ITERATED FUNCTION SYSTEM (IFS) is a set of CONTRACTIONS, which are ways of scaling the plane by the same amount in every VECTOR BASIS. An ATTRACTOR is the set S (a shape) for which the union of the images of S under the application of all contractions in the given IFS is equivalent to S. A self-similar fractal is then the unique ATTRACTOR of an ITERATED FUNCTION SYSTEM (IFS).

The Sierpinski Triangle is a fractal. And the rest of these definitions are fractally awful.

by owochanriemannsigma February 3, 2025