Certain hyperbolic regular polygonal tiles are isoperimetric

DOI10.1007/s10711-021-00605-2zbMath1479.52030arXiv1910.12966OpenAlexW3131383549MaRDI QIDQ2230955

Yanyan Li

Publication date: 29 September 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12966

zbMATH Keywords

tilinghyperbolic geometryisoperimetric problemclosed hyperbolic surface

Mathematics Subject Classification ID

Isoperimetric problems for polytopes (52B60) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Elementary problems in hyperbolic and elliptic geometries (51M09)

Cites Work

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• On the existence and regularity of fundamental domains with least boundary area
• Regular tessellations of surfaces and (p,q,2)-triangle groups
• The honeycomb conjecture
• Torsion free subgroups of Fuchsian groups and tessellations of surfaces
• Torsion free subgroups of Fuchsian groups and tessellations of surfaces

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