On a relation between packing and covering densities of convex bodies

2018/11/09 by Prosanov, Roman
#Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1811.03983

Abstract

We show that a convex body admits a translative dense packing in ℝ^d if and only if it admits a translative economical covering.

Related

• Flavors of Translative Coverings
• The set of packing and covering densities of convex disks
• Packing and covering properties of sequences of convex bodies
• Coverings: variations on a result of Rogers and on the Epsilon-net theorem of Haussler and Welzl
• Dense packing of space with various convex solids