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 space 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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