Difference between revisions of "Two-Pancake Problem"
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| − | 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 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. It is the two-dimensional version of the three-dimensional [[Ham Sandwich Theorem]]. |
[[Category:mathematics]] | [[Category:mathematics]] | ||
[[Category:topology]] | [[Category:topology]] | ||
Revision as of 04:11, November 7, 2009
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. It is the two-dimensional version of the three-dimensional Ham Sandwich Theorem.