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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, Number 1, Pages 91–102 (Mi basm495)  

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
Full-text PDF (142 kB) Citations (1)
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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.
Funding agency Grant number
Supreme Council for Science and Technological Development 15.817.02.26F
The work was partially supported by the SCSTD Project 15.817.02.26F.
Received: 23.01.2019
Document Type: Article
MSC: Primary 52C20; Secondary 05B45
Language: English
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
Citation in format AMSBIB
\Bibitem{Zam19}
\by Elizaveta~Zamorzaeva
\paper Isohedral tilings by $14$-, $16$- and $18$-gons for hyperbolic translation group of genus two
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2019
\issue 1
\pages 91--102
\mathnet{http://mi.mathnet.ru/basm495}
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  • https://www.mathnet.ru/eng/basm/y2019/i1/p91
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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