Trisections of a 3-rotationally symmetric planar convex body minimizing   the maximum relative diameter
  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. 
Antonio Ca\~nete, Cinzia Miori, Salvador Segura Gomis
math.MG