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X. Other Variations


There are many fractal coloring algorithms which we have not covered here, because they are either not common in fractal explorations or because they are specializations of the general forms we have already presented. There are also many ways to vary the techniques here to produce new algorithms. For example, instead of using |zn| for statistical computations, we might use only the real or imaginary component, or the angle of zn. We might use the value of zn relative to some other point (perhaps z0). We cannot describe them all!

A more significant technique involves combining techniques. We call these multi-layer fractals, and they are the source of some of the richest fractal imagery being produced today. In this way, even a limited collection of fractal coloring algorithms can be combined in almost endless ways, with each combination becoming in effect an entirely new algorithm.

 

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