Combinatorial Tilings of the Sphere by Pentagons

[摘要] A combinatorial tiling of the sphere is naturally given by an embedded graph. We study the case that each tile has exactly five edges, with the ultimate goal of classifying combinatorial tilings of the sphere by geometrically congruent pentagons. We show

[学科分类] 离散数学和组合数学

[关键词] Combinatorial tiling;Sphere tiling;Pentagon