Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615725 | Journal of Mathematical Analysis and Applications | 2014 | 17 Pages |
Abstract
In this work we study the fencing problem consisting of finding a trisection of a 3-rotationally symmetric planar convex body which minimizes the maximum relative diameter. We prove that an optimal solution is given by the so-called standard trisection. We also determine the optimal set giving the minimum value for this functional and study the corresponding universal lower bound.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Antonio Cañete, Cinzia Miori, Salvador Segura Gomis,