2 papers
math.MG2023
Borsuk number for planar convex bodies
Antonio Cañete, Uwe Schnell
By using some simple tools from graph theory, we obtain a characterization of the planar convex bodies with Borsuk number equal to two. This result allows to give some examples of…
math.MG2015
Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter
Antonio Cañete, Uwe Schnell, Salvador Segura Gomis
In this work we study subdivisions of -rotationally symmetric planar convex bodies that minimize the maximum relative diameter functional. For some particular subdivisions calle…