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個人，僅使用垂直切割。此外，可以切割和分割蛋糕，使得每個人都認為每個人都根據自己的衡量標準收到了 
的蛋糕（Steinhaus 1999，pp. 65-71）。最後，如果對於某一塊蛋糕兩個人意見不一致，那麼就有一種分割和分配蛋糕的方法，使得每個參與者都認為他根據自己的衡量標準獲得了超過 
的蛋糕。
等 面積 塊的問題，使用在其平面上的切割。一種證明公平蛋糕分割始終可能的方法依賴於 弗羅貝尼烏斯-柯尼希定理。