On the behavior of growth of polygons in semi-regular hyperbolic tessellations

DOI10.1080/23311835.2017.1302790zbMath1438.52039OpenAlexW2594682780MaRDI QIDQ5193394

Marcelo Firer, Eduardo Brandani da Silva

Publication date: 10 September 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2017.1302790

zbMATH Keywords

hyperbolic geometrypolygonsfundamental regionsemi-regular tessellations

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

• Growth series and random walks on some hyperbolic graphs.
• Combinatorial classification of fundamental domains of finite area for planar discontinuous isometry groups
• Signal constellations in the hyperbolic plane: a proposal for new communication systems
• Convex fundamental regions for N.E.C. groups
• The combinatorial structure of cocompact discrete hyperbolic groups
• Growth functions for semi-regular tilings of the hyperbolic plane
• Counting domains in \(\{p,q\}\) tessellations
• Tilings and quasiperiodicity.
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