Automated Proofs in Geometry : Computing Upper Bounds for the Heilbronn Problem for Triangles

Abstract

The Heilbronn problem for triangle[Wei] is defined as follows: place N points inside a triangle of unit area, so as to maximize the area of the smallest triangle obtained by choosing 3 points among N. Several authors worked towards finding lower bounds or optimal configurations of points. In this paper, we propose upper bounds for those problems, obtained… (More)

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