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
2-Dimensional Point-Line Distance, 2-Dimensional Point-Point Distance, 3-Dimensional Point-Line Distance, 3-Dimensional Point-Point Distance, Geometric Span, Line Line PickingExplore 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 Resource. https://mathworld.wolfram.com/PointDistances.html