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Zimmerman's Family Points (Posted on 2005-05-23) Difficulty: 5 of 5
What is the maximum number of points in the Euclidean plane with the property that given any three points, at least two are at distance one apart?

No Solution Yet Submitted by owl    
Rating: 4.4000 (5 votes)

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Some Thoughts Possible solution | Comment 1 of 10
I managed six using an equilateral grid as follows:
   x      x       x

x      x      x
and you cannot add a seventh point in this style, but I'm not certain this is *the* way to do this.

Edited on May 23, 2005, 8:35 pm
  Posted by e.g. on 2005-05-23 20:34:54

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