TILINGS OF THE SPHERE BY CONGRUENT QUADRILATERALS II: EDGE COMBINATION WITH RATIONAL ANGLES

DOI10.1017/nmj.2023.20arXiv2205.14936MaRDI QIDQ6123015

Erxiao Wang, Unnamed Author

Publication date: 4 March 2024

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.14936

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

• Anisohedral spherical triangles and classification of spherical tilings by congruent kites, darts and rhombi
• Tilings of the sphere with right triangles. III: The asymptotically obtuse families
• An isosceles triangle that tiles the sphere in exactly three ways
• Tilings of the sphere with isosceles triangles
• Classification of tilings of the 2-dimensional sphere by congruent triangles
• Tilings of the sphere by congruent pentagons. I: Edge combinations \(a^2b^2c\) and \(a^3 bc \)
• Tilings of the sphere by congruent pentagons. II: Edge combination \(a^3b^2\)
• Tilings of the sphere by congruent pentagons. III: Edge combination \(a^5\)
• Rational products of sines of rational angles
• 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
• Spherical tilings by congruent quadrangles: Forbidden cases and substructures
• Trigonometric diophantine equations (On vanishing sums of roots of unity)
• Spherical quadrangles with three equal sides and rational angles

This page was built for publication: TILINGS OF THE SPHERE BY CONGRUENT QUADRILATERALS II: EDGE COMBINATION WITH RATIONAL ANGLES