Isohedral tilings by $14$-, $16$- and $18$-gons for hyperbolic translation group of genus two
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2019), pp. 91-102

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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.
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     title = {Isohedral tilings by $14$-, $16$- and $18$-gons for hyperbolic translation group of genus two},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {91--102},
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     number = {1},
     year = {2019},
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}
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Elizaveta Zamorzaeva. Isohedral tilings by $14$-, $16$- and $18$-gons for hyperbolic translation group of genus two. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2019), pp. 91-102. http://geodesic.mathdoc.fr/item/BASM_2019_1_a7/