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Counting Crossings (Posted on 2014-10-08) Difficulty: 3 of 5
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?

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

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Some Thoughts wording | Comment 5 of 7 |
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
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