Geodesic
Translative packing of a square with sequences of squares
Janusz Januszewski1
1 Institute of Mathematics and Physics University of Technology and Life Sciences Kaliskiego 7 85-796 Bydgoszcz, Poland
Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 273-280.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $S'$.
DOI : 10.4064/cm121-2-9
Keywords: square square unit area diagonal parallel side finite infinite sequence homothetic copies whose total area does exceed packed translatively

Janusz Januszewski 1

1 Institute of Mathematics and Physics University of Technology and Life Sciences Kaliskiego 7 85-796 Bydgoszcz, Poland 
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Janusz Januszewski. Translative packing of a square with
 sequences of squares. Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 273-280. doi : 10.4064/cm121-2-9. http://geodesic.mathdoc.fr/articles/10.4064/cm121-2-9/

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