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Importance Of Fractal Geometry - Online Essay

Importance Of Fractal Geometry

The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The is that it provides an answer, a comprehension, to nature, the world, and the universe.
Fractals occur in swirls of scum on the surface of moving water, the jagged edges of mountains, ferns, tree ...

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of a Very simple, two-line generating formula does not have to be a dry and cold abstraction. When the output was what is now called a fractal, no one called it artificial. Fractals suddenly broadened the realm in which understanding can be based on a plain physical basis. (McGuire, Foreword by Benoit Mandelbrot) A fractal is a geometric shape that is complex and detailed at every level of magnification, as well as self-similar. Self-similarity is something looking the same over all ranges of scale, meaning a small portion of a fractal can be viewed as a microcosm of the larger fractal. One of the simplest examples of a fractal is the snowflake. It is constructed by taking an equilateral triangle, and after many iterations of adding smaller triangles to increasingly smaller sizes, resulting in a "snowflake" pattern, sometimes called the von Koch snowflake. The theoretical result of multiple iterations is the creation of a finite area with an infinite perimeter, meaning the ...

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Importance Of Fractal Geometry. (2008, November 28). Retrieved December 23, 2024, from http://www.essayworld.com/essays/Importance-Of-Fractal-Geometry/93798

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Added: 11/28/2008 06:34:23 PM
Category: Education
Type: Premium Paper
Words: 910
Pages: 4

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