Do you have an example of usage (with the grid that is)?
Let's do it
If you look at the differences between consecutive a's in (0, 1) you'll see them (if you ignore the first two 1's in the continued fraction representation).
I'm feeling the FOMO right now, jelly. Sadly I'm occupied for the next few days so I'll catch up with what you guys are doing later (Or I'll hear about it in the news if you finish up!).