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arXiv · 1410.0839

New results on torus cube packings and tilings

Mathieu Dutour Sikirić·Yoshiaki Itoh
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Abstract

We consider sequential random packing of integral translate of cubes $[0,N]^n$ into the torus $Z^n / 2NZ^n$. Two special cases are of special interest: (i) The case $N=2$ which corresponds to a discrete case of tilings (considered in \cite{cubetiling,book}) (ii) The case $N=\infty$ corresponds to a case of continuous tilings (considered in \cite{combincubepack,book}) Both cases correspond to some special combinatorial structure and we describe here new developments.

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Mathieu Dutour Sikirić, Yoshiaki Itoh. 2014-10-03. New results on torus cube packings and tilings. https://arxiv.org/abs/1410.0839

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