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Ok, maybe, game with only 1 square can be called 'chess' or 'shogi'. Maybe, even game without squares at all. I hope, it will be invented. But it will be 0-dimensional game! Absolute minimum for 1-d game is still 2 cells, for 2-d game - 3 cells, for 3-d game - 4 cells. I think so, maybe, it's wrong... By the way, i almost invented these 3- and 4-cells games, i tryed to play with 3 cells (but i still don't know if it's playable). May i describe them here?