3 lines in a plane can be easily be drawn such that there are 0, 1, 2 or 3 points where at least 2 of them cross.
What are the possible numbers of crossing points for 4, 5, or 6 lines?
Can any of these results be generalized?
The wording of the puzzle notes "points where at least 2 [lines] cross".
Another way of reducing intersections, besides making parallel, is to have a newly added line go through a previous intersection. Surely if this is done enough, any number of intersections, up to the max, can be accomplished.
Posted by Charlie
on 2014-10-09 07:51:57