Complex Function Plotter: Side by Side 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) and \(g(x+yi)\) (right).
Specifically, for each function \(k\), \(r=|k(x+yi)|\) is plotted as lightness (from black → white as \(r\) goes from \(0\to\infty\))
and \(\theta=arg(k(x+yi))\) is plotted as hue (from red → orange → yellow → green → cyan → blue → magenta → red as \(\theta\) goes from \(0\to2\pi\))
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:
\(f(z)= \) →
\(g(z)= \) →
\(r \in\) [0,]
\(r\) scale