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 $\alpha$.
Bose, P. [et al.]. On computing enclosing isosceles triangles and related problems. "International journal of computational geometry and applications", Febrer 2011, vol. 21, núm. 1, p. 25-45.