Combinatorial cube packings in cube and torus

Mathieu Dutour Sikirić, Yoshiaki Itoh

We consider sequential random packing of cubes $z+[0,1{]}^n$ with $z\in \frac{1}{N}\ZZ^n$ into the cube $[0,2{]}^n$ and the torus $\QuotS{\RR^n}{2\ZZ^n}$ as $N\to \infty$. In the cube c…