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Ultima descărcare din IBN: 2023-08-21 12:49 |
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514.77+515.165.7 (1) |
Geometrie diferențială. Metode algebrice și analitice în geometrie (26) |
Topologie (42) |
SM ISO690:2012 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 | ||||||
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CZU: 514.77+515.165.7 | ||||||
MSC 2010: Primary 52C20. Secondary 05B45. | ||||||
Pag. 91-102 | ||||||
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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. |
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Cuvinte-cheie Isohedral tiling, hyperbolic plane, translation group of genus two, , Delone class, adjacency symbol |
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