Domain coloring

Domain coloring plot of the function f(x) = (x2 − 1)(x − 2 − i)2/x2 + 2 + 2i, using the structured color function described below.

In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane. By assigning points on the complex plane to different colors and brightness, domain coloring allows for a function from the complex plane to itself, whose graph would normally require four spatial dimensions, to be easily represented and understood. This provides insight to the fluidity of complex functions and shows natural geometric extensions of real functions.


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