3 papers
math.MG2024
On exact covering with unit disks
Ji Hoon Chun, Christian Kipp, Sandro Roch
We study the problem of covering a given point set in the plane by unit disks so that each point is covered exactly once. We prove that 17 points can always be exactly covered. On…
math.MG2023
On the Sausage Catastrophe in 4 Dimensions
Ji Hoon Chun
The Sausage Catastrophe of J. Wills (1983) is the observation that in and , the densest packing of spheres in is a sausage for small values of a…
math.MG2019
The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope
Ji Hoon Chun
The problem of finding the largest number of points in the unit cross-polytope such that the -distance between any two distinct points is at least is investigated for $…