For
points in the plane , there are at least
different distances . The minimum distance can occur only
times, and the maximum distance
can occur
times. Furthermore, no distance can occur as often as
times.
Finally, no set of
points in the plane can determine only isosceles
triangles .
See also Distance
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References Honsberger, R. "The Set of Distances Determined by Points in the Plane." Ch. 12
in Mathematical
Gems II. Washington, DC: Math. Assoc. Amer., pp. 111-135, 1976. Referenced
on Wolfram|Alpha Planar Distance
Cite this as:
Weisstein, Eric W. "Planar Distance."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/PlanarDistance.html
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