Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two
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ZAMORZAEVA-ORLEANSCHI, Elizaveta. Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 2(87), pp. 74-84. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(87) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322

Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two

CZU: 51+514.112
MSC 2010: 52C20, 05B45.

Pag. 74-84

Zamorzaeva-Orleanschi Elizaveta
 
Moldova State University
 
Disponibil în IBN: 2 decembrie 2018


Rezumat

As is known there are 2 types of isoheral tilings of the Euclidean plane with disks for the translation group p1. In the hyperbolic plane there exist a countable series of translation groups, each group being characterized by its genus. For the hyperbolic translation group of genus two, isohedral tilings of the hyperbolic plane with disks are studied. The technique of adjacency symbols, developed by B. N. Delone for the Euclidean case, is used. In the present article we restrict the enumeration to tilings with 8-, 10- and 12-gons.

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