Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-Ⅱ  

作　　者：Ana BREDA Robert DAWSON Patrícia RIBEIRO 

机构地区：[1]Department of Mathematics,University of Aveiro [2]Department of Mathematics and Computing Science,Saint Mary’s University Halifax [3]Department of Mathematics,EST Setbal,Polytechnic Institute of Setbal

出　　处：《Acta Mathematica Sinica,English Series》2014年第8期1435-1464,共30页数学学报（英文版）

基　　金：Supported by FEDER funds through COMPETE Operational Programme Factors of Competitiveness(Programa Operacional Factores de Competitividade);Supported by FSE;Supported by Portuguese funds through the Center for Researchand Development in Mathematics and Applications(University of Aveiro);the Portuguese Foundation for Science and Technology(FCT Fundao para a Ciência e a Tecnologia);project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690;supported partially by an NSERC Canada Discovery Grant

摘　　要：In this work,we give a complete classification of spherical dihedral f-tilings when the prototiles are two noncongruent isosceles triangles with certain adjacency pattern.As it will be shown,this class is composed by two discrete families denoted by ε^m,m ≥ 2,m ∈ N,F^k,k ≥ 4,k ∈ N and two sporadic tilings denoted by G and H.In this work,we give a complete classification of spherical dihedral f-tilings when the prototiles are two noncongruent isosceles triangles with certain adjacency pattern.As it will be shown,this class is composed by two discrete families denoted by ε^m,m ≥ 2,m ∈ N,F^k,k ≥ 4,k ∈ N and two sporadic tilings denoted by G and H.

关 键 词：Spherical tilings dihedral TRIANGULATIONS f-tilings spherical trigonometry 

分 类 号：O182[理学—数学]