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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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com | Comment 15 of 17 |
I think it is impossible with some intuition...but not exactly I can confirm......Placing six point s of Integer coordinates itself may be difficult....In 2D Geometry a circle can be constructed with five points with integer coordinates...But with some intuition I think that the other points that may be found mathematically be some non-integer values or irrational/non-integer rationals I hope
  Posted by Pemmadu Raghu Ramaiah on 2005-01-24 19:56:31
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