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Points On A Circle (Posted on 2004-08-14) Difficulty: 4 of 5
I placed six points on the circumference of a circle such that the distance between any two of the points is an integer. What is the smallest such circle I could use?

What if each distance must be unique?

No Solution Yet Submitted by ThoughtProvoker    
Rating: 4.4286 (7 votes)

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re(2): Solution with non-distinct sides | Comment 13 of 17 |
(In reply to re: Solution with non-distinct sides by Penny)

the radius of the circle is irrational, yes. and the point locations are irrational as well. but, all the distances between the points are integers, and that's what the problem asked for.
  Posted by sundberg on 2004-08-19 13:00:28

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