S^2 coverings by isosceles and scalene triangles – adjacency case I

DOI10.26493/1855-3974.1401.7d9zbMath1443.52015OpenAlexW2912784611MaRDI QIDQ5225050

Catarina P. Avelino, Altino Manuel Folgado Dos Santos

Publication date: 25 July 2019

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

Full work available at URL: https://doi.org/10.26493/1855-3974.1401.7d9

zbMATH Keywords

symmetry groupscombinatorial propertiesspherical trigonometrydihedral \(f\)-tilings

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)

Related Items (2)

S2 coverings by isosceles and scalene triangles – adjacency case II ⋮ Triangular spherical dihedral f-tilings: the $(\pi/2, \pi/3, \pi/4)$ and $(2\pi/3, \pi/4, \pi/4)$ family

Cites Work

• Unnamed Item
• 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

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