Translative packing of a convex body by sequences of its homothetic copies

Janusz Januszewski

Address: Institute of Mathematics and Physics University of Technology and Life Sciences ul. Kaliskiego 7, 85-796 Bydgoszcz, Poland


Abstract: Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose total area does not exceed $0.175$ times the area of $C$ can be translatively packed in $C$.

AMSclassification: Primary: 52C15.

Keywords: translative packing, convex body