Ham Sandwich Theorem

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The Ham Sandwich Theorem is a theorem in mathematical analysis stating that the volume of any three 3-dimensional objects of any shape (imagined as a slice of bread, some ham, and another slice of bread) can all be perfectly bisected with one plane. That is, one straight slice of a knife will create two half-sandwiches, with exactly equal amounts of bread on top, equal amounts of ham, and equal amounts of bread on the bottom. It is the three-dimensional version of the two-dimensional Two-Pancake Problem.

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