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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 288, Pages 265–268
DOI: https://doi.org/10.1134/S0371968515010185 (Mi tm3605) 		 
New results on torus cube packings and tilings

Mathieu Dutour Sikirića, Yoshiaki Itohb

a Ruđer Bošković Institute, Zagreb, Croatia
b Institute of Statistical Mathematics, Tachikawa, Tokyo, Japan
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DOI: https://doi.org/10.1134/S0371968515010185
Abstract: 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.
Received in September 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 288, Pages 243–246
DOI: https://doi.org/10.1134/S0081543815010186
Bibliographic databases:
Document Type: Article
UDC: 514.1
Language: English
Citation: Mathieu Dutour Sikirić, Yoshiaki Itoh, “New results on torus cube packings and tilings”, Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 288, MAIK Nauka/Interperiodica, Moscow, 2015, 265–268; Proc. Steklov Inst. Math., 288 (2015), 243–246
Citation in format AMSBIB
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\paper New results on torus cube packings and tilings
\inbook Geometry, topology, and applications
\bookinfo Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday
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\vol 288
\pages 265--268
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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