Translative packing of a square with sequences of squares
Volume 121 / 2010
Colloquium Mathematicum 121 (2010), 273-280
MSC: Primary 52C15.
DOI: 10.4064/cm121-2-9
Abstract
Let $S$ be a square and let $S'$ be a square of unit area with a diagonal parallel to a side of $S$. Any (finite or infinite) sequence of homothetic copies of $S$ whose total area does not exceed $ { 4 \over 9}$ can be packed translatively into $S'$.
