Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two
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514.77+515.165.7 (1)
Geometrie diferențială. Metode algebrice și analitice în geometrie (26)
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ZAMORZAEVA-ORLEANSCHI, Elizaveta. Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 1(89), pp. 91-102. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322

Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two

CZU: 514.77+515.165.7
MSC 2010: Primary 52C20. Secondary 05B45.

Pag. 91-102

Zamorzaeva-Orleanschi Elizaveta
 
Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 16 august 2019


Rezumat

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.

Cuvinte-cheie
Isohedral tiling, hyperbolic plane, translation group of genus two, , Delone class, adjacency symbol