Geodesic
On-line Packing Cubes into $n$ Unit Cubes
Łukasz Zielonka1
1 Institute of Mathematics and Physics UTP University of Science and Technology Kaliskiego 7 85-789 Bydgoszcz, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 2-3, pp. 185-198.

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

If $n\geq 3$ and $d\in \{3,4\}$ or if $n\geq 1$ and $d\geq 5$, then any sequence of $d$-dimensional cubes of edge lengths not greater than $1$ whose total volume does not exceed $(n+1)\cdot 2^{-d}$ can be on-line packed into $n$ unit $d$-dimensional cubes.
DOI : 10.4064/ba8063-10-2016
Keywords: geq geq geq sequence d dimensional cubes edge lengths greater whose total volume does exceed cdot d on line packed unit d dimensional cubes

Łukasz Zielonka 1

1 Institute of Mathematics and Physics UTP University of Science and Technology Kaliskiego 7 85-789 Bydgoszcz, Poland 
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Łukasz Zielonka. On-line Packing Cubes into $n$ Unit Cubes. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 2-3, pp. 185-198. doi : 10.4064/ba8063-10-2016. http://geodesic.mathdoc.fr/articles/10.4064/ba8063-10-2016/

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