Symmetry and Transitive Properties of Monohedral f-triangulations of the Riemannian Sphere  

作　　者：Ana M.BREDA J.M.SIGARRETA 

机构地区：[1]Department of Mathematics, University of Aveiro [2]Facultad de Matematicas, Universidad Autonoma de Guerrero

出　　处：《Acta Mathematica Sinica,English Series》2009年第10期1609-1616,共8页数学学报（英文版）

摘　　要：Here we give the complete description of the symmetry group and transitive properties of the set of all of monohedral triangulations of the Riemannian sphere by f-tilings. We shall also show that each monohedral f-tiling of the Riemannian sphere can be seen, up to a spherical isometry, as the singular set of a spherical isometric folding.Here we give the complete description of the symmetry group and transitive properties of the set of all of monohedral triangulations of the Riemannian sphere by f-tilings. We shall also show that each monohedral f-tiling of the Riemannian sphere can be seen, up to a spherical isometry, as the singular set of a spherical isometric folding.

关 键 词：isometric folding monohedral tiling graphs combinatoric 

分 类 号：O186.12[理学—数学]