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3 points in a line (Posted on 2008-11-06) Difficulty: 3 of 5

Please reference this problem.

In the above referenced problem a debate was raised as to the validity of given solution.  This debate caused me to ponder the following problem.


If you place 3 points in a line then obviously every line through any 2 points will intersect exactly 3 points.  Now the real question is, is it possible to place more than 3 points in a plane such that all lines between any 2 points intersect exactly 3 points, no more no less.

If the answer to the above question is in the negative, prove it. Otherwise, derive the appropriate example(s),

See The Solution Submitted by Daniel    
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  Subject Author Date
re(2): ProofCharlie2008-12-14 13:03:37
Completing the proofMichael Kornrade2008-12-14 09:36:54
Solutionre: ProofMichael Kornrade2008-12-14 09:32:08
ProofJonathan Lindgren2008-11-07 20:25:57
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