The user and two of their shadow clones attack a target from different directions with a bladed weapon. As they move towards their target, the attackers usually leap through the air in a formation reminiscent of the crescent moon, hence the name. Because all three attacks are meant to simultaneously come from a blindspot, targets can't reasonably defend against all of them. Moreover, because of the power behind the strikes, if even one of them lands successfully, the target is likely to be fatally wounded.
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