FRACTAL GEOMETRY The formal mathematical definition of fractal geometry is by Benoit Mandelbrot. It says that a fractal is a set for which the Haudorff Besicovitch dimension strictly exceeds the topological dimension .However, this is a very abstract definition. Generally, we can define a fractal as a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced -size copy of the whole. Fractals are generally self -similar and independent of scale. Fractal geometry is recent synthesis of old mathematical constructs. It is a misunderstood idea that is quickly becoming buried under grandiose terminology that serves no purpose. Its essence is induction using simple geometric constructs to transform initiating objects...
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