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Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two
Authors: Zamorzaeva Elizaveta
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Abstract
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.Moldova State University,
60 Mateevici str., Chisinau, MD-2009
Republic of Moldova
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60 Mateevici str., Chisinau, MD-2009
Republic of Moldova
E-mail:
Fulltext
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Contents
- Quotient Structure and Chain Conditions on Quasi Modules
- On statistical convergence in generalized Lacunary sequence spaces
- Aspects of stability for multicriteria quadratic problems of Boolean programming
- Solution and full classification of generalized binary functional equations of the type (3;3;0)
- On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis
- Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two
- Some properties of left-transitive quasigroups
- General Method for Defining Finite Non-commutative Associative Algebras of Dimension m>1
- Closure operators in modules and adjoint functors, II
- Later developments based on some ideas of Andrunachievici: Special radicals and The Lemma
- Corrigendum to "The multiplicative Zagreb co-indices on two graph operators" Bul. Acad. Științe Repub. Mold. Mat., 2016, no. 2(81), 18-26
