| − | The '''Two-Pancake Problem''' is an introductory theorem in [[topology]] stating 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. | + | 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]]. |