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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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