RO EN
Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two
Authors: Elizaveta Zamorzaeva
– 0.14 Mb
Abstract
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.Moldova State University,
60 Mateevici str., Chisinau, MD-2009
Republic of Moldova
E-mail:
60 Mateevici str., Chisinau, MD-2009
Republic of Moldova
E-mail:
Fulltext
– 0.14 Mb
Contents
- Finite 2-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups
- n-Torsion Regular Rings
- On invariant submanifolds of S-manifolds
- On fully idempotent semimodules
- On generalization of the notion of Moufang loop to n-ary case
- Finite Non-commutative Associative Algebras for Setting the Hidden Discrete Logarithm Problem and Post-quantum Cryptoschemes on its Base
- On the number of topologies on countable fields
- Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two
- A note on almost contact metric 2- and 3-hypersurfaces in W_4-manifolds
- Morita contexts and closure operators in modules
- Examples of bipartite graphs which are not cyclically-interval colorable
- Academician Vladimir Arnautov 80th anniversary
