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Circumferential distances (Posted on 2006-05-21) Difficulty: 3 of 5
Place six points around a circle of circumference 27 such that every integral distance from 1 to 26 is represented as the circumferential distance between two of these points.

See The Solution Submitted by Jer    
Rating: 3.5000 (2 votes)

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Solution Solution | Comment 1 of 3

Space the points at unit distances clock-wise around the circle as follows:

A=0, B=1, C=5, D=11, E=20, F=25

Travel from the first to the second point in the clock-wise direction for the following distances:

AB=1, FA=2, FB=3, BC=4, AC=5, CD=6, EA=7, EB=8, DE=9, BD=10, AD=11, EC=12, FD=13 

and counter-clock-wise for 26 . . . 14.

Edited on May 21, 2006, 7:02 pm
  Posted by Leming on 2006-05-21 17:09:28

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