3 papers
math.CO2025
Equicovering masses in the Euclidean plane
Manuel A. Espinosa-García, Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado
Classic mass partition results are about dividing the plane into regions that are equal with respect to one or more measures (masses). We introduce a new concept in which the notio…
math.MG2016
Meissner Polyhedra
Luis Montejano, Edgardo Roldán-Pensado
In this paper we develop a concrete way to construct bodies of constant width in dimension three. They are constructed from special embeddings of self-dual graphs.
math.MG2014
About an Erdős-Grünbaum conjecture concerning piercing of non bounded convex sets
Amanda Montejano, Luis Montejano, Edgardo Roldán-Pensado +1
In this paper, we study the number of compact sets needed in an infinite family of convex sets with a local intersection structure to imply a bound on its piercing number, answerin…