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8 points no convex pentagon (Posted on 2009-10-09) Difficulty: 2 of 5
Find a set of 8 points with no three collinear such that no subset of 5 forms a convex pentagon.

  Submitted by Jer    
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Solution: (Hide)
*         *
 *       *
 *       *
*         *
Any sub set of 5 is either 4 points from one side and 1 from the other or 3 from one side and 2 from the other. Clearly in both cases you will get a concavity.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionsolutionCharlie2009-10-09 17:36:41
re: possible real solution (not proven yet) -counterexampleJer2009-10-09 15:32:22
possible real solution (not proven yet)Daniel2009-10-09 13:37:53
possible cheatDaniel2009-10-09 13:21:31
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