7 citations · 17 across the 9 of their papers we have counts for
15 papers
A new family of constant width bodies obtained from Reuleaux polyhedra
Marcela G. Mercado-Flores, Edgardo Roldán-Pensado
We give a construction of a body of constant width from a unit Reuleaux polyhedron that preserves all its symmetries. As opposed to the Meissner surgery, our construction modifies…
A four-dimensional body of constant width
Marcela G. Mercado-Flores, Miguel Raggi, Edgardo Roldán-Pensado
The study of bodies of constant width is a classical subject in convex geometry, with the 3-dimensional Meissner bodies being canonical examples. This paper presents a novel geomet…
The graphs behind Reuleaux polyhedra
Luis Montejano, Eric Pauli, Miguel Raggi +1
This work is about graphs arising from Reuleaux polyhedra. Such graphs must necessarily be planar, -connected and strongly self-dual. We study the question of when these conditi…
Further Consequences of the Colorful Helly Hypothesis
Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado, Natan Rubin
Let be a family of convex sets in , which are colored with colors. We say that satisfies the Colorful Helly Property if every rainb…
On a Helly-type question for central symmetry
Alexey Garber, Edgardo Roldán-Pensado
We study a certain Helly-type question by Konrad Swanepoel. Assume that is a set of points such that every -subset of is in centrally symmetric convex position, is it tr…
Embeddability of arrangements of pseudocircles and graphs on surfaces
Éric Colin de Verdière, Carolina Medina, Edgardo Roldán-Pensado +1
A pseudocircle is a simple closed curve on some surface; an arrangement of pseudocircles is a collection of pseudocircles that pairwise intersect in exactly two points, at which th…