Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 3
Abstract
The study of spherical dihedral f-tilings when the prototiles are twononcongruent isosceles triangles was started in two previous papers. Here,we complete the classication, characterizing the f-tilings that satisfy theremaining case of adjacency. As it will be shown, this class is composed bytwo three-parameter families denoted by An;m; and Bn;m; and a relatedfour-parameter family denoted by Bp;q;p′;q′, where p > p′ 0; q′> q 0;two isolated tilings denoted by P and Q; and six distinct discrete familiesdenoted by J k;Lk; Mk;Nk(k 3); and Fk;Kk with k 4.
Authors and Affiliations
PatrÃcia Ribeiro, A. M. d Azevedo Breda, Robert Dawson
Keywords
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- EP ID EP651680
- DOI 10.24297/jam.v12i3.484
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