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.

Additional Metadata
Keywords area, Enclosing isosceles triangle, perimeter
Persistent URL dx.doi.org/10.1142/S0218195911003536
Journal International Journal of Computational Geometry and Applications
Citation
Bose, P, Mora, M. (Mercè), Seara, C. (Carlos), & Sethia, S. (Saurabh). (2011). On computing enclosing isosceles triangles and related problems. International Journal of Computational Geometry and Applications, 21(1), 25–45. doi:10.1142/S0218195911003536