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The '''Ham Sandwich Theorem''' is a theorem in [[analysis|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]].

The '''Ham Sandwich Theorem''' is a theorem in [[analysis|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]].

[[Category:mathematics]]

[[Category:Mathematics]]

[[Category:topology]]

[[Category:Topology]]