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Oct
28
revised What is the point of having at least three points on every line of a projective plane?
Updated the answer
Oct
28
awarded  Editor
Oct
28
revised What is the point of having at least three points on every line of a projective plane?
Updated the answer
Oct
28
comment What is the point of having at least three points on every line of a projective plane?
@StefanPerko For point b) Any structure satisfying axioms 1,2,4 and the "obvious" one: any line contains at least two points and there are at least two lines is either a "triangle" (3 points and 3 lines) a structure like in the picture or a "honest" projective plane. I'll edit the answer.
Oct
28
comment What is the point of having at least three points on every line of a projective plane?
@StefanPerko: For point a) see this. The lines are $12,13,14, 15$ and $12345$.
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answered What is the point of having at least three points on every line of a projective plane?
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