S2 coverings by isosceles and scalene triangles – adjacency case II

DOI10.26493/1855-3974.2740.7abzbMath1497.52025OpenAlexW4205274033MaRDI QIDQ5037925

Catarina P. Avelino, Altino Manuel Folgado Dos Santos

Publication date: 29 September 2022

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.2740.7ab

zbMATH Keywords

combinatorial propertiesdihedral f-tilingsspherical trigonometry

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Subgroups of symmetric groups (20B35)

Cites Work

• Spherical \(f\)-tilings by two noncongruent classes of isosceles triangles. II
• A class of tilings of \(S^ 2\)
• Tilings of the sphere with isosceles triangles
• Classification of tilings of the 2-dimensional sphere by congruent triangles
• Dihedral f-tilings of the sphere by spherical triangles and equiangular well-centered quadrangles
• Tilings of the sphere with right triangles. I: The asymptotically right families
• Tilings of the sphere with right triangles. II: The \((1,3,2)\), \((0,2,n)\) subfamily
• Isometric folding of Riemannian manifolds
• S^2 coverings by isosceles and scalene triangles – adjacency case I
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