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I'm now experimenting with a version of chess which uses a board of infinite size. I call it "Chess on an Infinite Plane".

 

I didn't worry about any rules requiring pieces to not move to remote areas. I don't think this has to be worried about, because moving too far away would be poor play. It's self-regulating and therefore does not need to be in the rules. Pieces that move far away would lose their targets (and ability to create forks). I did add some other pieces and pawns so that each player has more attacking power, and help ensure there is enough material in the endgame for the winning side to create checkmate.

 

I'm currently in three games (playing about one move per day).

 

And, I also have a second version: "Chess on an Infinite Plane - Huygens Option". It adds the huygens, which is a piece which can jump a prime number of squares. It helps to protect some pieces in their starting positions. (As a side-effect it also makes it more difficult for computers to "solve" this game, because the set of prime numbers itself is unknown, and not easy to calculate).

 

Some discussion about the game is here:

If anyone would like to play either of these games, let me know.:)