Happy Ending problem

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Happy Ending problem
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Happy Ending Problem

Convex polygon, Convex polygon - Concave polygons, Happy Ending problem

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Happy Ending problem: Encyclopedia II - Convex polygon - Concave polygons

If a simple polygon is not convex, it is called concave. At least one internal angle of a concave polygon is larger than 180 degrees. A concave polygon is often called re-entrant polygon (but in some cases the latter term has a different meaning). ...

The so-called Happy Ending problem is an example of how mathematics pervaded George's life. During 1933, George and several other students met frequently in Budapest to discuss mathematics. At one of these meetings, Esther Klein proposed the following problem: Given five points in the plane in general position, prove that four of them form a convex quadrilateral. After allowing George, Paul Erdős, and the other students to scratch their heads for some time, Esther explained her proof. Subsequently George an ...

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Happy Ending problem

A Wisdom Archive on Happy Ending problem

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