Geodesic
New results on torus cube packings and tilings
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and applications, Tome 288 (2015), pp. 265-268

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We consider the sequential random packing of integral translates of cubes $[0,N]^n$ into the torus $\mathbb Z^n/2N\mathbb Z^n$. Two particular cases are of special interest: (1) $N=2$, which corresponds to a discrete case of tilings, and (2) $N=\infty$, which corresponds to a case of continuous tilings. Both cases correspond to some special combinatorial structure, and we describe here new developments. 
@article{TM_2015_288_a17,
     author = {Mathieu Dutour Sikiri\'c and Yoshiaki Itoh},
     title = {New results on torus cube packings and tilings},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {265--268},
     publisher = {mathdoc},
     volume = {288},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_288_a17/}
}
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Mathieu Dutour Sikirić; Yoshiaki Itoh. New results on torus cube packings and tilings. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and applications, Tome 288 (2015), pp. 265-268. http://geodesic.mathdoc.fr/item/TM_2015_288_a17/