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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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Circular reasoning | Comment 8 of 17 |
The following short and pithy, almost haiku-like Visual Basic program ran (with the obvious modifications: starting from radius = 0 and not requiring unique distances) to produce that "First Part" solution. Perhaps the program has bugs -- it wouldn't be the first time. It is currently up to radius=36.87 without finding an answer to the second part. I sure hope that answer isn't in the thousands.
[Program listing revised in subsequent post].

Edited on August 17, 2004, 1:02 pm
  Posted by Penny on 2004-08-16 09:02:10

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