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| Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-Ⅱ | |
| 引用本文： | Ana BREDA,Robert DAWSON,Patrícia RIBEIRO. Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-Ⅱ[J]. 数学学报(英文版), 2014, 30(8): 1435-1464. DOI: 10.1007/s10114-014-3302-5 |
| 作者姓名： | Ana BREDA Robert DAWSON Patrícia RIBEIRO |
| 基金项目： | Supported by FEDER funds through COMPETE Operational Programme Factors of Competitiveness （Programa Operacional Factores de Corapetitividade）, by FSE, by Portuguese funds through the Center for Research and Development in Mathematics and Applications （University of Aveiro） and the Portuguese Foundation for Science and Technology （FCT Fundacao para a Ciencia e a Tecnologia）, within project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690; supported partially by an NSERC Canada Discovery GrantAcknowledgements We thank the referees for their time and comments. |
| 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 Em,m ≥ 2,m ∈ N,Fk,k ≥ 4,k ∈ N and two sporadic tilings denoted by G and H. |
| 关 键 词： | 等腰三角形 面砖 球形 t类 二面角 散发性 邻接 |
Spherical f-tilings by two noncongruent classes of isosceles triangles-II |
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| Ana Breda,Robert Dawson,Patrícia Ribeiro. Spherical f-tilings by two noncongruent classes of isosceles triangles-II[J]. Acta Mathematica Sinica(English Series), 2014, 30(8): 1435-1464. DOI: 10.1007/s10114-014-3302-5 | |
| Authors: | Ana Breda Robert Dawson Patrícia Ribeiro |
| Affiliation: | 1. Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal 2. Department of Mathematics and Computing Science, Saint Mary’s University Halifax, Nova Scotia, B3H 3C3, Canada 3. Department of Mathematics, EST Setúbal, Polytechnic Institute of Setúbal, 2910-761, Setúbal, Portugal |
| Abstract: | Spherical tilings, dihedral, triangulations, f-tilings, spherical trigonometry |
| Keywords: | Spherical tilings dihedral triangulations f-tilings spherical trigonometry |
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