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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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Other possibilities for 6 lines, and a theorem (unproven)Dej Mar2014-10-10 04:31:12
Other possibilities for 6 lines, and a theorem (unproven)Steve Herman2014-10-09 07:55:09
Some ThoughtswordingCharlie2014-10-09 07:51:57
To sleep, perchance to dreamSteve Herman2014-10-08 21:49:15
Are the solutions correct?Jer2014-10-08 14:29:43
SolutionsolutionCharlie2014-10-08 13:12:45
SolutionsolutionAdy TZIDON2014-10-08 13:02:14
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