A fractal is an object that exhibits self-similarity (recursion, in mathematical terms) at any scale . That is, if you look at a portion any of a fractal object, we note that this section is to replicate on a smaller scale of the figure. The universe is made of fractals, from galaxies to bacteria ... even our brains!, See this link to be convinced.
Although his "discovery" math took place in 1872, their representation is very old. Already in the Renaissance fractal patterns were used in stained glass, architecture, painting, etc. Then they "went out of fashion" to be resurrected in the 60's through the psychedelic art.
The term was proposed by Benoît Mandelbrot in 1975.
Except I doubt that Renaissance artists who have used such forms have had formal training in mathematics, which shows that despite its complexity, the human mind has always sensed its existence.
Fractals are everywhere, even without us noticing. Examples include clouds, mountains, turbulence, coastlines and trees. Even when formally admitted as fractal mathematics to that body only:
- detail has arbitrarily large or small scales.
- is too irregular to be described in traditional geometric terms
- have exact self-similarity or statistical
- is defined recursively.
birth of stars can be seen as fractal systems (chaos theory), where a small interaction is replicated millions of times and each one of those, in turn continues to replicate ..... and so on. It could infer that the universe is a very complex, huge and elusive fractal.
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