Domain coloring visualization of a complex function.

Enter a complex expression in $z$ only. Click the update button to color the domain.
$f(z) = $

The coloring of the plane relies on the standard hue-saturation-brightness color wheel

The positive real axis is along the red direction. The positive imaginary axis is along the green direction.

Each point in the domain is colored according to where it will end up on the color wheel after plugging it into the function. An extra dimension of brightness indicates magnitude. Brighter, more washed-out colors indicate places where the output of the function has large magnitude. (Wikipedia)


Creative Commons License Domain Coloring by Albert Schueller is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.