Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter
Metric Geometry
2014-05-20 v1
Abstract
In this work we study the fencing problem consisting of finnding 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.
Keywords
Cite
@article{arxiv.1405.4795,
title = {Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter},
author = {Antonio Cañete and Cinzia Miori and Salvador Segura Gomis},
journal= {arXiv preprint arXiv:1405.4795},
year = {2014}
}
Comments
Preliminary version, 20 pages, 15 figures