Fractals

Geometrical objects typified by some form of self-similarity.  In other words, when magnified to an appropriate scale, parts of a fractal appear similar to the whole.  Examples of approximate fractals are coastlines of islands, continents and terrain features.  In non-linear dynamical systems that exhibit deterministic chaos, the so-called strange attractors are typically fractals. 

See Attractor, Brain damage studies, Chaos, Chaos theory, Determinism, Non-linear dynamical systems, Pattern formation