Difference between revisions of "Ham and Cheese Sandwich Theorem"
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{{distinguish|the [[Sandwich theorem]]}} | {{distinguish|the [[Sandwich theorem]]}} | ||
| − | 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 three dimensions | + | 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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Latest revision as of 15:26, 24 June 2024
Not to be confused with the Sandwich theorem
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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