Triangular spherical dihedral f-tilings: the $(\pi/2, \pi/3, \pi/4)$ and $(2\pi/3, \pi/4, \pi/4)$ family

DOI10.33044/revuma.v61n2a12zbMath1472.52025OpenAlexW3110660489MaRDI QIDQ4997892

Catarina P. Avelino, Altino Manuel Folgado Dos Santos

Publication date: 30 June 2021

Published in: Revista de la Unión Matemática Argentina (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33044/revuma.v61n2a12

zbMATH Keywords

Euclidean spherespherical triangledihedral tilingfolding tiling

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) Symmetry properties of polytopes (52B15) Subgroups of symmetric groups (20B35)

Cites Work

• Dihedral f-tilings of the sphere by equilateral and scalene triangles. III.
• 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
• 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
• A class of spherical dihedral \(f\)-tilings
• Isometric folding of Riemannian manifolds
• S^2 coverings by isosceles and scalene triangles – adjacency case I

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