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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.)
re: com | Comment 16 of 17 |
(In reply to com by Pemmadu Raghu Ramaiah)

On the contrary, for any n>0, there is a circle that passes through more than n lattice points ("points of Integer coordinates" as you call them).

However, that doesn't have anything to do with this puzzle, as it is the distances, not the coordinates, that have to be integers.

  Posted by David Shin on 2005-01-24 20:54:15
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