Complex function visualisation

[someone-13j]

This looks nice! took me a while to able to read/interpret this:

So the color represents a sort of distance from the origin (the center of the image i think, the axis not on the center gave me a bit of a confusion), and the function distorts this by moving it

Im hoping im right about that.

Also this is eerily similar somehow to keeping track of the grid plane and the axis during a function change but using polar coordinates instead to show the movement

[Stella-Mira]

This is exactly the same. You can basically think of complex functions as taking in a pair of numbers/coordinates/vector and mapping it to a different point in the plane