There is a chess variant where the number of moves increases with each turn (white makes one move, black makes two moves, white makes three moves..etc). Usually someone wins at either 9 or 10 moves. Obviously in this variant checking or checkmates don't really matter and the idea is to capture all of your opponent's pieces.
3 moves each turn???
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I was just thinking, what if each player had three moves each turn. it would be interesting: 1d4 e3 Nf3 2.D5 e3 Nf6 3...