The study of the dihedral f-tilings of the sphere S2 whose prototiles are a scalene triangle and an isosceles trapezoid was initiated in a previous work. In this paper we continue this classification presenting the st...The study of the dihedral f-tilings of the sphere S2 whose prototiles are a scalene triangle and an isosceles trapezoid was initiated in a previous work. In this paper we continue this classification presenting the study of all dihedral spherical f-tilings by scalene triangles and isosceles trapezoids in some cases of adjacency.展开更多
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 ...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.展开更多
基金Research funded by the Portuguese Government through the FCT-Fundaao para a Ciencia e a Tecnologia-under the project PEst-OE/MAT/UI4080/2011
文摘The study of the dihedral f-tilings of the sphere S2 whose prototiles are a scalene triangle and an isosceles trapezoid was initiated in a previous work. In this paper we continue this classification presenting the study of all dihedral spherical f-tilings by scalene triangles and isosceles trapezoids in some cases of adjacency.
基金Supported by FEDER funds through COMPETE Operational Programme Factors of Competitiveness(Programa Operacional Factores de Competitividade)Supported by FSE+3 种基金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-022690supported partially by an NSERC Canada Discovery Grant
文摘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.
