Ham and Cheese Sandwich Theorem

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Not to be confused with the Sandwich theorem

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The Ham and Cheese Sandwich Theorem, also known as the Ham sandwich theorem, states that "given pieces of ham, bread, and cheese (in any shape and not necessarily in one piece), placed anywhere, there exists a plane that will bisect each of the ham, bread, and cheese." This is a special case of the Tarski–Seidenberg theorem for two, three, and four dimensions

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