I like this, its very fun to make weird patterns, but If you were going to do this again, or make an update:
1. Add some UI that tells the user the controls
2.A button that lets the user quickly reset the pattern, rather than spamming left arrow or restarting the program
3.Save/Load patterns
4.Maybe some different colours? Not like a massive pallette, maybe a handful of colours to make the designs more interesting.
I'm by no means an expert though, so you what you want to do, and its still very good at representing hyperbolic space.
Edit: I just realised that R resets it