Ramos Alonso, Pedro AntonioSteiger, WilliamDíaz Báñez, José MiguelGarijo Royo, DeliaMárquez Pérez, AlbertoUrrutia Galicia, Jorge2017-05-182017-05-182013Ramos Alonso, P.A. y Steiger, W. (2013). Equipartitioning triangles. En XV Spanish Meeting on Computational Geometry, Sevilla.http://hdl.handle.net/11441/60037An intriguing conjecture of Nandakumar and Ramana Rao is that for every convex body K ⊆ R2, and for any positive integer n, K can be expressed as the union of n convex sets with disjoint interiors and each having the same area and perimeter. The first difficult case- n = 3- was settled by Bárány, Blagojevi¢, and Szucs using powerful tools from algebra and equivariant topology. Here we give an elementary proof of this result in case K is a triangle, and show how to extend the approach to prove that the conjecture is true for triangles.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Equipartitioning trianglesinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccess