Simple Spirograph

Hi there -

I wasn't sure if this is a beginner question or an advanced question.
Basically, I'd like to create a simple spirograph-like mechanism in Jitter.
The idea is that I could use poke~ to draw waveforms on a matrix...and use jit.rota + feedback to rotate the plane that is being drawn on.

Unfortunately, this ends up being much harder than expected. Hopefully, the example will demonstrate why.

Has anyone done anything like this?

Thanks.