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You can never draw a fractal because it is an infinitely replicating pattern. Unlike the decimal representation of a number, for example 1/3 where you can put a dot over the 3 to indicate the fact that the digit recurs infinitely many times, there is no short-cut available for fractals.

To draw an approximation of a fractal, you start with some pattern in mind. You then replace some parts of the original pattern by similar but smaller versions of the pattern. Repeat again and again until the end of time - and beyond!

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