To rotate a Supply pile with differently-named cards in it is to move all copies of one card on top of the pile to the bottom, so as to expose the next differently-named card in the pile.
This mechanic was introduced in Allies, in which there are split piles containing four copies each of four differently-named cards. The cheapest card in each pile allows you to rotate the pile, enabling you to reach the more expensive cards below without having to gain all copies of the cheap cards first, or to hide a desirable card from your opponent by rotating it to the bottom before they can gain one. One card, Battle Plan, also allows you to rotate piles other than its own.
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