Define the term Fractals and Fractal Dimension

Define the term Fractals? Also describe the term Fractal Dimension?

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The Fractal is an object whose shape is not regular at all the scales.

Fractal has unlimited detail and fractal dimension. The fractal imbedded in n-dimensional space could encompass any fractional dimension between 0 and n. The Fractal Dimension D = LogN/Log S.
Here N is the number of Pieces and S is the Scaling Factor. 

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