On computing enclosing isosceles triangles and related problems

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Title:	On computing enclosing isosceles triangles and related problems
Author:	Bose, Prosenjit; Mora Giné, Mercè; Seara Ojea, Carlos; Sethia, Saurabh
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta
Abstract:	Given a set of n points in the plane, we show how to compute various enclosing isosceles triangles where different parameters such as area or perimeter are optimized. We then study a 3-dimensional version of the problem where we enclose a point set with a cone of fixed aperture $\alpha$.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional -Perimeters (Geometry) -Computational geometry -Perimetria -Geometria computacional
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
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