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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, номер 2, страницы 30–43
(Mi basm531)
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Research articles
Isohedral tilings for hyperbolic translation group of genus two which admit additional isometries
Elizaveta Zamorzaeva 'Vladimir Andrunachievici' Institute of Mathematics and Computer Science, 5 Academiei str., Chişinău, MD-2028, Republic of Moldova
Аннотация:
The paper continues articles [3, 4] where we derived all the Delone classes of isohedral tilings of the hyperbolic plane with disks for the translation group of genus two. The total number of these Delone classes is corrected to 118. The attention is drawn to the parametric diversity of these tilings. The emphasis is made on more symmetric tilings that are promising for further research and application. Isohedral tilings that admit additional isometries are analyzed, their adjacency diagrams are shown in figures.
Ключевые слова и фразы:
isohedral tiling, hyperbolic plane, translation group of genus two, Delone class, adjacency symbol, adjacency diagram.
Поступила в редакцию: 22.01.2020
Образец цитирования:
Elizaveta Zamorzaeva, “Isohedral tilings for hyperbolic translation group of genus two which admit additional isometries”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2020, no. 2, 30–43
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm531 https://www.mathnet.ru/rus/basm/y2020/i2/p30
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Страница аннотации: | 152 | PDF полного текста: | 38 | Список литературы: | 16 |
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