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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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No solution for distinct differences ? | Comment 9 of 17 |

If all 15 distances among the 6 points on the circle have to be distinct, my program couldn't find any solution even for a circle of radius = 500. There might be a deep mathematical reason why six points can't have distinct distances. It would take a good mathematician to prove or disprove this.

(Over the door of Plato's Academy was the sign "Let no one ignorant of Geometry enter here.")


  Posted by Penny on 2004-08-17 06:19:22
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