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Fractals

    The word “fractal” is short for fractional dimension. It’s a geometric pattern that repeats itself at every smaller dimension to create countless number of replicas of the same pattern. This is done by adding a certain transformation to the original object. This iterating process is infinite so the complexity increases with every smaller dimension. However, not all iterations create fractals. For example, if you have a line and you take away part of it and continue that process over and over again, soon it will become a point and it’s no longer a line. So basically fractals are any sort of curve or surface, and they’re free of scale. Fractals are referred to as self-similarity, which means that if any portion of the curve were to be blown up to actual size, it would be impossible to tell it apart from the whole curve. Fractional dimension provides a way to measure how jagged fractal curves are. Lines have a dimension of one, surfaces a dimension of two, and solids have a dimension of three. Roughness adds an increase in dimension. A rough curve has a dimension between one

Approximate Word count = 741
Approximate Pages = 3 (250 words per page double spaced)

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