Complex colouring

No, honestly, this isn't abstract art! At least not on purpose. It's a visualisation of a function of a complex variable using a method called domain colouring.

domain colouring

Image created by Maksim Zhuk.

The method was developed by Frank Farris; you can find a description of it here. The image was produced by Maksim Zhuk using the Pygame library within Python.

The picture is one of the images that appear in the book 50 visions of mathematics, which celebrates the 50th anniversary of the Institute of Mathematics and its Applications.

You can see previous images of the week here.