Many games - such as Othello, Checkers, Chess1, and Go - are played on highly-regular, square boards.
How would the game mechanic change if you played an Othello-like game on, say, a Chinese Checkers board?
All other rules being equal - ie you can only flip in direct vectors from the piece played - would this be likely to be a viable game-play mechanic?
1 excluding variants such as Chess4