different Distances. The minimum Distance can occur only times, and theMaximum Distance can occur times. Furthermore, no Distance can occur as often as
times. No set of points in the Plane can determine only Isosceles Triangles.See also Distance
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.