perplexus.info :: Geometry : Points On A Circle

Points On A Circle (Posted on 2004-08-14)

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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Thoughts

Comment 17 of 17 |

I just saw this puzzle pop up as a random puzzle and had a thought:

http://mathworld.wolfram.com/FuhrmannsTheorem.html

This, along with Ptolemy's Theorem, might be enough to solve the puzzle asking for all 15 segments to be integral.

Posted by Brian Smith on 2016-02-21 13:58:00

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