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FRACTALS

Nature's geometry is closely related to geometry of fractals.  Fractals provide a method to describe nature mathematically.  The term "Fractals" was coined by Benoît Mandelbrot in 1975, who made extensive studies on Fractals.  It came from the Latin word "fractus" meaning "broken" or "fractured."  Fractals can be generated using simple and recursive algorithms, where a pattern is usually generated repeatedly, replicating itself but in a smaller version.

A fractal exhibits a fine structure at arbitrarily small scales.  Their shapes are too irregular to be easily described in traditional Euclidean geometric language.  Fractals are often considered to be infinitely complex, and exhibits a property called self-similarity where they appear similar at all scales or levels of magnification.

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

 

 

 

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