Welcome to the IFS Encyclopedia
An open reference for Iterated Function Systems (IFS) — a powerful framework for generating fractals through repeated application of contraction mappings. Explore mathematical definitions, visualizations, and properties of classic and lesser-known fractal attractors. All fractal images are rendered live in your browser via ifslib (WebAssembly) — no pre-generated images are stored on the server.
Browse the full catalog →Featured Systems
Barnsley Fern
A classic IFS that strikingly resembles a natural black spleenwort fern, built from four affine transformations.
View entry →Sierpiński Triangle
One of the most famous fractals: a self-similar triangle subdivided infinitely by three contraction mappings.
View entry →Twin Dragon
A space-filling fractal arising from two rotational contractions, resembling a folded paper strip.
View entry →