Three-Checks chess is an interesting and very playable variant, in which the first player who gives three checks wins the game (or before that, a regular checkmate works too). See Brainking or Wikipedia for more detailed rules.
The game below is played by me against a strong opponent. I am still figuring out the strategy to the game.
[Site "BrainKing.com"]
[Date "2011.06.10"]
[White "ughaibu"]
[Black "Koksal"]
1. e4 c5 2. Nf3 e6 3. Bc4 a6 4. a4 Nc6 5. O-O Bd6
Up till now, it could have been a regular chess or an extinction chess game. Now black is threatening for a check on h2. 3 checks is not too many, so, depending on the situation of course, trading a minor piece for a check is most times sound.
6. g3 h5 7. e5 Nxe5 8. Nxe5 Bxe5 9. d4 cxd4 10. Re1 Qc7 11. Qe2 f6 12. h4 Ne7
Preventing check on e6, so that the bishop is free to be sacrificed at g3.
13. Ra3 b6 14. Nd2 Bb7 15. Ne4 Bxe4 16. Qxe4 d5 17. Bb5+
White's check number 1, sacrificing a bishop.
17... axb5 18. Qd3 Kf7 19. f4 Kg8
This move is probably unnecessary, but here it is hard to suggest black anything good. The center is about to break. Maybe it would have been better playing 19... b4 keeping queen's side shut.
20. axb5 Rxa3 21. Qxa3 Kf7 22. fxe5 Qc5
A desperate counter-attack attempt, which is thwarted easily.
23. Qd3 Qc4 24. Qf3 Nf5 25. exf6 gxf6 26. Rxe6
If white king captures that rook Qxf5+ and then g4+ makes three checks for white. Black resigned.
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