The maximum distance between 
points in three dimensions can occur no more than 
times. Also, there exists a fixed number 
such that no distance determined by a set of 
points in three-dimensional space occurs more than 
times. The maximum distance can occur no more than
times in four dimensions, where
is the floor
function.
Point Distances
See also
Geometric Span, Line Line Picking, Point-Line Distance--2-Dimensional, Point-Line Distance--3-Dimensional, Point-Point Distance--2-Dimensional, Point-Point Distance--3-Dimensional,Explore with Wolfram|Alpha
References
Honsberger, R. Mathematical Gems II. Washington, DC: Math. Assoc. Amer., pp. 122-123, 1976.Referenced on Wolfram|Alpha
Point DistancesCite this as:
Weisstein, Eric W. "Point Distances." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PointDistances.html