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?

(In reply to Possible solution by e.g.)

I don't find more than six. Note that always two separate equilateral triangles base 1 fits the problem.

 

Edited on May 23, 2005, 9:22 pm

Edited on May 23, 2005, 9:24 pm

Posted by armando on 2005-05-23 21:05:09