Complex Function Plotter: Polar Domain Coloring Plot
In a domain coloring plot, each point \(x+yi\) in the domain is marked with a color corresponding to \(f(x+yi)\) (right).
Specifically, \(r=|f(x+yi)|\) is plotted as lightness (from black → white as \(r\) goes from \(0\to\infty\))
and \(\theta=arg(f(x+yi))\) is plotted as hue (from red → orange → yellow → green → cyan → blue → magenta → red as \(\theta\) goes from \(0\to2\pi\))
The identity function (\(I(z)=z\)) is included (left) to help you interpret the meaning of each color.
This plot doesn't have multifunction support. Because each point in the domain gets exactly one color, only the principal branch is graphed.
Enter your function here:
\(f(z)= \) →
\(r \in\) [0,]
\(r\) scale