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The statement about this plane not being Desarguesian can be "proved" with a diagram ... someone more artistic than I should attempt this.
This is an infinite projective plane. Various attempts at forming a finite version have been made, but there does not seem to be general agreement on exactly how this should be defined. Would a section on these attempts be enlightening or confusing? Wcherowi (talk) 05:29, 26 August 2011 (UTC)