Thursday, November 12, 2009

Pardon me, but you're stepping on my Fractal

A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity, says Wikipedia.

Roots of mathematical interest in fractals can be traced back to the late 19th Century; however, the term "fractal" was coined by BenoƮt Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured."

A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion.[2]

Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms).

Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines and snow flakes.

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