Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-II
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Acta Mathematica Sinica, English Series  2014, Vol. 30 Issue (8): 1435-1464    DOI: 10.1007/s10114-014-3302-5
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Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-II
Ana BREDA1, Robert DAWSON2, Patrícia RIBEIRO3
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 Set磚bal, Polytechnic Institute of Set磚bal, 2910-761 Set磚bal, Portugal
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Abstract 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.
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Patrícia RIBEIRO
Key wordsSpherical tilings   dihedral   triangulations   f-tilings   spherical trigonometry     
Received: 2013-05-21;
Fund: Supported by FEDER funds through COMPETE Operational Programme Factors of Competitiveness (Programa Operacional Factores de Competitividade), 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 Fundação para a Ciência 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 Grant
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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.
http://www.actamath.com/Jwk_sxxb_en//EN/10.1007/s10114-014-3302-5      or     http://www.actamath.com/Jwk_sxxb_en//EN/Y2014/V30/I8/1435
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