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The '''Two-Pancake Problem''' is an introductory problem in [[topology]] that asks whether two pancakes can be bisected with a single cut. The solution generates a theorem, called the '''Two-Pancake Theorem''', that the area of any two pancakes having an arbitrary two-dimensional shape can both be perfectly bisected with one straight line (one cut of a knife).  Its proof is an illustration of the properties of continuous functions.  It is the two-dimensional version of the three-dimensional [[Ham Sandwich Theorem]].

The '''Two-Pancake Problem''' is an introductory problem in [[topology]] that asks whether two pancakes can be bisected with a single cut. The solution generates a theorem, called the '''Two-Pancake Theorem''', that the area of any two pancakes having an arbitrary two-dimensional shape can both be perfectly bisected with one straight line (one cut of a knife).  Its proof is an illustration of the properties of continuous functions.  It is the two-dimensional version of the three-dimensional [[Ham Sandwich Theorem]].

 

[[Category:Topology]]

[[Category:Topology]]