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Dal'nevostochnyi Matematicheskii Zhurnal, 2017, Volume 17, Number 2, Pages 257–264 (Mi dvmg358)  
On a number of polyhex plane tilings

A. V. Shutova, E. V. Kolomeikinab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Bauman Moscow State Technical University
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Abstract: A tiling is called a lattice tiling if there is a group of translations which acts on the set of the tiles transitively. In the paper the low and upper bounds for the number of lattice tilings of plane with centrally symmetrical polyhexes are found.
Key words: tilings, lattice tilings, polyhexes, self-avoiding walks.
Funding agency Grant number
Russian Science Foundation 14-11-00433
Received: 12.04.2017
Bibliographic databases:
Document Type: Article
UDC: 514.174
MSC: 52C20
Language: Russian
Citation: A. V. Shutov, E. V. Kolomeikina, “On a number of polyhex plane tilings”, Dal'nevost. Mat. Zh., 17:2 (2017), 257–264
Citation in format AMSBIB
\Bibitem{ShuKol17}
\by A.~V.~Shutov, E.~V.~Kolomeikina
\paper On a number of polyhex plane tilings
\jour Dal'nevost. Mat. Zh.
\yr 2017
\vol 17
\issue 2
\pages 257--264
\mathnet{http://mi.mathnet.ru/dvmg358}
\elib{https://elibrary.ru/item.asp?id=32239887}
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