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IMI/Publicaţii/BASM/Ediţii/BASM n.2(93), 2020/

Isohedral tilings for hyperbolic translation group of genus two which admit additional isometries

Authors: Zamorzaeva Elizaveta

Abstract

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.

"Vladimir Andrunachievici"
Institute of Mathematics and Computer Science,
5 Academiei str., Chisinau, MD-2028
Republic of Moldova
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