Fractal theory


Fractal theory is an area of mathematics. It addresses quantities that incorporate a “broken” dimension (Latin fractus, broken). Examples in Nature are geometric forms such as coastlines or mountain ranges. Their fundamental characteristic is self-similarity; this means either an exact or a statistical replication of a geometric pattern within a given range of size scales. We find innumerable examples of this in both inanimate and living Nature: crystal growth, the shapes of mountain ranges, ferns, branching of blood-vessels and many more.

Fractal theory is based mainly upon the work of Gaston Maurice Julia and Benoît B. Mandelbrot. Mandelbrot also tried to apply fractal theory to the finance markets.


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