On-line Packing Squares into $n$ Unit Squares
Volume 58 / 2010
Bulletin Polish Acad. Sci. Math. 58 (2010), 137-145
MSC: 52C15, 05B40.
DOI: 10.4064/ba58-2-5
Abstract
If $ n \geq 3$, then any sequence of squares of side lengths not greater than $1$ whose total area does not exceed $ { 1 \over 4}(n+1)$ can be on-line packed into $n$ unit squares.