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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, Number 1, Pages 91–102
(Mi basm495)
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This article is cited in 1 scientific paper (total in 1 paper)
Isohedral tilings by $14$-, $16$- and $18$-gons for hyperbolic translation group of genus two
Elizaveta Zamorzaeva Moldova State University, 60 Mateevici str., Chisinau, MD-2009, Republic of Moldova
Abstract:
There are $2$ types of isohedral tilings of the Euclidean plane with disks for the translation group $p1$. In the hyperbolic plane there exist countably many translation groups, each translation group is characterized by its genus. The present article continues work [7] and studies isohedral tilings of the hyperbolic plane with disks for the translation group of genus two. We use the technique of adjacency symbols, developed by B. N. Delone for the Euclidean plane. In [7] isohedral tilings of the hyperbolic plane with $8$-, $10$- and $12$-gons were obtained. In the present article isohedral tilings of the hyperbolic plane with $14$-, $16$- and $18$-gons are obtained, thus completing the enumeration.
Keywords and phrases:
isohedral tiling, hyperbolic plane, translation group of genus two, Delone class, adjacency symbol.
Received: 23.01.2019
Citation:
Elizaveta Zamorzaeva, “Isohedral tilings by $14$-, $16$- and $18$-gons for hyperbolic translation group of genus two”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 1, 91–102
Linking options:
https://www.mathnet.ru/eng/basm495 https://www.mathnet.ru/eng/basm/y2019/i1/p91
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Abstract page: | 218 | Full-text PDF : | 51 | References: | 18 |
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