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Seven Point Placement (Posted on 2017-05-20) Difficulty: 3 of 5
Find a placement of a set of seven points in a plane such that if any subset of three points is chosen then at least one pair of points from the subset are unit distance apart.

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

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Some Thoughts Familiar Comment 1 of 1
Hmm.  I was just looking at random problems and I saw this problem on the site two days ago.  Except that problem asked for the maximum number of points, and did not specify that 7 was possible.  A solution for 7 was eventually found by one of the solvers.

Oh, just found it.  It is called "Zimmerman's Family Points" and was posted in 2005.  It is a very good problem, and I encourage people to try and solve it before looking up the previous posts,

Edited on May 20, 2017, 10:08 am
  Posted by Steve Herman on 2017-05-20 10:01:42

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