Symmetry and transitive properties of monohedral \(f\)-triangulations of the Riemannian sphere

DOI10.1007/s10114-009-7496-xzbMath1211.52018OpenAlexW2089475581WikidataQ115385261 ScholiaQ115385261MaRDI QIDQ1044334

Ana M. R. Azevedo Breda, José María Sigarreta-Almira

Publication date: 11 December 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7496-x

zbMATH Keywords

monohedral tilingisometric foldingRiemannian 2-spherecongruent spherical triangles

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorial inequalities (05A20) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Subgroups of symmetric groups (20B35)

Related Items (2)

Spherical f-tilings by scalene triangles and isosceles trapezoids. II ⋮ Twists and Gromov hyperbolicity of Riemann surfaces

Cites Work

• Unnamed Item
• \(k\) -factors in regular graphs
• A class of tilings of \(S^ 2\)
• Classification of tilings of the 2-dimensional sphere by congruent triangles
• An isometric embedding of Möbius band with positive Gaussian curvature
• A 3-color theorem on plane graphs without 5-circuits
• Isometric folding of Riemannian manifolds
• Combinatorial invariants on planar graphs
• Properties of Monohedral f-Triangulations of the Riemannian Sphere

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