{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:30Z","timestamp":1753893870303,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The study of dihedral f-tilings of the Euclidean sphere $S^2$ by triangles and $r$-sided regular polygons was initiated in 2004 where the case $r=4$ was considered [5]. In a subsequent paper [1], the study of all spherical f-tilings by triangles and $r$-sided regular polygons, for any $r\\ge 5$, was described. Later on, in [3], the classification of all f-tilings of $S^2$ whose prototiles are an equilateral triangle and an isosceles triangle is obtained. The algebraic and combinatorial description of spherical f-tilings by equilateral triangles and scalene triangles of angles $\\beta$, $\\gamma$ and $\\delta$ $(\\beta&gt;\\gamma&gt;\\delta)$ whose edge adjacency is performed by the side opposite to $\\beta$ was done in [4]. In this paper we extend these results considering the edge adjacency performed by the side opposite to $\\delta$.<\/jats:p>","DOI":"10.37236\/815","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:41:55Z","timestamp":1578717715000},"source":"Crossref","is-referenced-by-count":1,"title":["Dihedral F-Tilings of the Sphere by Equilateral and Scalene Triangles - II"],"prefix":"10.37236","volume":"15","author":[{"given":"A. M. d'Azevedo","family":"Breda","sequence":"first","affiliation":[]},{"given":"Patr\u00edcia S.","family":"Ribeiro","sequence":"additional","affiliation":[]},{"given":"Altino F.","family":"Santos","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2008,7,14]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v15i1r91\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v15i1r91\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T03:37:28Z","timestamp":1579318648000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v15i1r91"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,7,14]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2008,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/815","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2008,7,14]]},"article-number":"R91"}}