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Isohedral tilings for hyperbolic translation group of genus two which admit additional isometries
Authors: Zamorzaeva Elizaveta
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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
E-mail:
Institute of Mathematics and Computer Science,
5 Academiei str., Chisinau, MD-2028
Republic of Moldova
E-mail:
Fulltext
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Contents
- New Form of the Hidden Logarithm Problem and its Algebraic Support
- Inequalities of Hermite-Hadamard Type for K-Bounded Modulus Convex Complex Functions
- Commutative Weakly Tripotent Group Rings
- Isohedral tilings for hyperbolic translation group of genus two which admit additional isometries
- Interior angle sums of geodesic triangles in S2XR and H2XR geometries
- Signature Schemes on Algebras, Satisfying Enhanced Criterion of Post-quantum Security
- Quasi-Kählerian manifolds and quasi-Sasakian hypersurfaces axiom
- Laurent-Padé approximation for locating singularities of meromorphic functions with values given on simple closed contours
- Asymmetric Separation of Convex Sets
