Complex Function Plotter: Rectangular Domain Coloring Plot
In this alternate domain coloring plot, each point \(x+yi\) in the domain is marked with a color corresponding to \(f(x+yi)\).
Specifically, \(|p|=|\Re(f(x+yi))|\) is plotted as red (from black → red as \(|p|\) goes from \(0\to\infty\)),
\(|q|=|\Im(f(x+yi))|\) is plotted as blue (from black → blue as \(|q|\) goes from \(0\to\infty\)).
Sign is plotted in green, (from black → green as p+q goes from \(-\infty\to\infty\))
The result is that positive real components are colored more yellow, negative real components more red
positive imaginary components more cyan, and negative imaginary components more blue.
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