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Chess on an Infinite Plane. Chess game with no boundaries (infinite board), and Guard, Chancellor, and Hawk. () [All Comments] [Add Comment or Rating]
Aurelian Florea wrote on 2018-01-09 UTC

Yes, that will obviously make it "more infinite". Still the kings are the point of atraction. But if you make more kings then you have two cases.

1. You have to mate one king to win. Which after a finite number of moves will often degrade in the previous situations as one king will become more vulnarable although each side could need to use plenty of moves for the defence of it's wekest king. And surellyanother win condition would be to simultanioulsy check 2 kings with an unattacked piece. Also winning. So 2 and in extremme conditions even 3 enemy kings could get involved but it is not a big difference in the end.

2. You have to mate all (which is probably a countable infinity, maybe the ordinal omega0). That is a whole other devil I don't know how to aproach yet.

You may also make different winning conditions like capture the flag, like bringing a piece to a certain area of the board withouht beeing caputed at the next turn.

Also you may make a condition to clear a certain area of enemy pieces.

So there is a whole world of possibilities out there.