nonlinear
Experimenting with non-linear transformations
Theory
I was curious about what would happen if we transformed the coordinate system with a 2D transformation matrix which had entries that are functions of the points they are transforming (unlike linear algebra). This is the result, and it looks pretty cool.
Code
I have implemented this both in Python and Processing. The Processing version runs in real-time.
The Python version can switch between rendering to disk or attempting to run real-time. Rendering in real-time seems to be laggier than the Processing version, however, can render at arbitrary delta values.
(The coordinate system is drawn parametrically. Delta is the step increment for the parameter. It can be interpreted as 'amount of detail', with values closer to 0 = more detailed).
They can both be found under nonlinear/