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In 1935, Erdős and Szekeres proved that 71 points (no three on a single line) are required to guarantee there are six that form a convex hexagon, although 17 points are thought to be sufficient. (In 1998, the upper bound was reduced to 37.)


  Submitted: 2004-06-19 19:38:27;   Last Modified: 2009-04-16 22:20:29.

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