Planes of Budapest
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|Ivars Peterson (MathTrek)|
|Nearly every Sunday during the winter of 1933 in Budapest, a small group of students would meet somewhere in the city at a park or cafe to discuss mathematics. The gathering typically included Paul Erdös (1913-1996), György (George) Szekeres, and Esther Klein. Klein once asked if anyone could prove that a convex quadrilateral has to be present in any given set of five points lying in a plane, with no three points in a line. After letting her friends ponder the problem, Klein explained her proof. Szekeres and Erdös then proposed an elegant problem that is still attracting mathematical attention...|
|Levels:||High School (9-12), College|
|Math Topics:||Triangles and Other Polygons, History and Biography|
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