Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, Number 2, Pages 74–84
Isohedral tilings by $8$-, $10$- and $12$-gons for hyperbolic translation group of genus two
Moldova State University, 60 Mateevici str., Chisinau, MD-2009, Republic of Moldova
As is known there are 2 types of isoheral tilings of the Euclidean plane with disks for the translation group $p1$. In the hyperbolic plane there exist a countable series of translation groups, each group being characterized by its genus. For the hyperbolic translation group of genus two, isohedral tilings of the hyperbolic plane with disks are studied. The technique of adjacency symbols, developed by B. N. Delone for the Euclidean case, is used. In the present article we restrict the enumeration to tilings with $8$-, $10$- and $12$-gons.
Keywords and phrases:
isohedral tiling, hyperbolic plane, translation group of genus two, Delone class, adjacency symbol.
|The work was partially supported by the SCSTD Projects 12.839.08.07F and 15.817.02.26F.
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MSC: Primary 52C20; Secondary 05B45
Elizaveta Zamorzaeva, “Isohedral tilings by $8$-, $10$- and $12$-gons for hyperbolic translation group of genus two”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 2, 74–84
Citation in format AMSBIB
\paper Isohedral tilings by $8$-, $10$- and $12$-gons for hyperbolic translation group of genus two
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
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