Article
Keywords:
translative packing; convex body
Summary:
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 $C$.
References:
[1] Böröczky, Jr.:
Finite packing and covering. Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge 154 (2004).
MR 2078625 |
Zbl 1061.52011
[6] Moon, J. W., Moser, L.:
Some packing and covering theorems. Colloq. Math. 17 (1967), 103–110.
MR 0215197 |
Zbl 0152.39502