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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
my assumption, and a nit | Comment 6 of 17 |
I'd agree that the shortest distance is a line, but I believe that the authors intent was to measure the distance along the circumference - though then it doedsn't really seem like a level 4 puzzle...

Also, no one has picked up that 0 is an integer - therefore, part one is a circle of diameter 1/infinity, with all points coincident (this also makes the method of measurement irrellevant).  Doesn't work for part 2.

  Posted by Cory Taylor on 2004-08-15 12:12:01
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