See Complex systems. Related to Discrete dynamical system, and Symbolic dynamics

Synopsis: Fractals for Sharper Vision See Limits and infinity

Lecture Notes on Fractals, Iterated Function Systems, and Related Topics (updated, 5/02/16)

Hausdorff dimension

Fractals are typically not self-similar

Iterated function system

See notes

Iterated function systems and the code space

Codes as fractals and noncommutative spaces

Apollonian gasket

Coasts are fractals. Here's a perfect fractal coast