BEBischof asked on Twitter about hexagonal spiral coordinate patterns. I know there are patterns with cube coordinates but I don't know what they are, or if there are patterns with offset coordinates too. So I just printed them out. It looks like the cube coordinates have a pattern where one column stays the same while the others change by +1/-1. They switch columns when one reaches 0. The offset coordinates have some pattern but I'm not sure how to describe it.
|Index||Cube coords||Offset coords|