ON COMPUTING ENCLOSING ISOSCELES TRIANGLES AND RELATED PROBLEMS
Prosenjit K. Bose, Mercè Ferrater Mora, Carlos Seara, Saurabh Sethia · International Journal of Computational Geometry & Applications · 2011
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 apex angle α.