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?
If the distances (straight lines, not curves) don't have to be distinct, then the smallest circle appears to be one of radius 12.5 units, with the six points as follows (centered on the origin of the xyaxes):
Point 1: (12.5 , 0)
Point 2: (10.54 , 6.72)
Point 3: (3.5 , 12)
Point 4: (12.5 , 0)
Point 5: (10.54 , 6.72)
Point 6: (3.5, 12)
Distances:
Points 1 to 2: 7

Posted by Penny
on 20040815 21:39:33 