Cañete Martín, Antonio JesúsMiori, CinziaSegura Gomis, Salvador2019-10-242019-10-242014Cañete Martín, A.J., Miori, C. y Segura Gomis, S. (2014). Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter. Journal of Mathematical Analysis and Applications, 418 (2), 1030-1046.0022-247Xhttps://hdl.handle.net/11441/89852In 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Fencing problems3-rotationally symmetric convex bodyMaximum relative diameterTrisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameterinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jmaa.2014.04.041