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arXiv · 1405.4795

Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter

Antonio Cañete·Cinzia Miori·Salvador Segura Gomis
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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.

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Antonio Cañete, Cinzia Miori, Salvador Segura Gomis. 2014-05-16. Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter. https://arxiv.org/abs/1405.4795

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