Tilings of the sphere with isosceles triangles

DOI10.1007/s00454-003-2846-4zbMath1053.52027OpenAlexW2085749572MaRDI QIDQ1434255

Robert J. MacG. Dawson

Publication date: 7 July 2004

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-003-2846-4

zbMATH Keywords

isosceles triangletriangles of the sphere

Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (12)

S2 coverings by isosceles and scalene triangles – adjacency case II ⋮ Spherical f-tilings by scalene triangles and isosceles trapezoids. II ⋮ TILINGS OF THE SPHERE BY CONGRUENT QUADRILATERALS II: EDGE COMBINATION WITH RATIONAL ANGLES ⋮ Right triangular spherical dihedral \(f\)-tilings: The \({\left(\frac{\pi}{2},\frac{\pi}{3},\frac{\pi}{5}\right)},\, {\left(\frac{\pi}{2},\frac{2\pi}{5},\frac{\pi}{5}\right)}\) family ⋮ Spherical f-tilings by (equilateral and isosceles) triangles and isosceles trapezoids ⋮ An isosceles triangle that tiles the sphere in exactly three ways ⋮ A class of spherical dihedral \(f\)-tilings ⋮ Spherical \(f\)-tilings by two noncongruent classes of isosceles triangles. II ⋮ S^2 coverings by isosceles and scalene triangles – adjacency case I ⋮ Spherical f-tilings by scalene triangles and isosceles trapezoids. I ⋮ Triangular spherical dihedral f-tilings: the $(\pi/2, \pi/3, \pi/4)$ and $(2\pi/3, \pi/4, \pi/4)$ family ⋮ Unnamed Item

Uses Software

• OEIS

Cites Work

• A class of tilings of \(S^ 2\)
• An isosceles triangle that tiles the sphere in exactly three ways
• Classification of tilings of the 2-dimensional sphere by congruent triangles
• Unnamed Item
• Unnamed Item
• Unnamed Item

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