On the minimum distance determined by n(≤7) points in an isosceles right triangle

On the minimum distance determined by n(≤7) points in an isosceles right triangle

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Article ID: iaor19981936
Country: China
Volume: 12
Issue: 2
Start Page Number: 169
End Page Number: 175
Publication Date: Apr 1996
Journal: Acta Mathematicae Applicanda Sinica
Authors:
Keywords: geometry
Abstract:

Let T denote a finite set of points in a unit isosceles right triangle (i.e., the right sides are both one), f(T) the minimum distance between pairs of points of T, and fΔ = max||T||=n f(T). In this paper, the exact values of fΔ(n) for 2 ≤ n ≤ 7 and the corresponding configurations are given.

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