Dihedral \(f\)-tilings of the sphere by equilateral and scalene triangles. II
The electronic journal of combinatorics, Tome 15 (2008)
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 $\delta$ $(\beta>\gamma>\delta)$ 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 $\delta$.
@article{10_37236_815,
author = {A. M. d'Azevedo Breda and Patr{\'\i}cia S. Ribeiro and Altino F. Santos},
title = {Dihedral \(f\)-tilings of the sphere by equilateral and scalene triangles. {II}},
journal = {The electronic journal of combinatorics},
year = {2008},
volume = {15},
doi = {10.37236/815},
zbl = {1161.52013},
url = {http://geodesic.mathdoc.fr/articles/10.37236/815/}
}
TY - JOUR AU - A. M. d'Azevedo Breda AU - Patrícia S. Ribeiro AU - Altino F. Santos TI - Dihedral \(f\)-tilings of the sphere by equilateral and scalene triangles. II JO - The electronic journal of combinatorics PY - 2008 VL - 15 UR - http://geodesic.mathdoc.fr/articles/10.37236/815/ DO - 10.37236/815 ID - 10_37236_815 ER -
%0 Journal Article %A A. M. d'Azevedo Breda %A Patrícia S. Ribeiro %A Altino F. Santos %T Dihedral \(f\)-tilings of the sphere by equilateral and scalene triangles. II %J The electronic journal of combinatorics %D 2008 %V 15 %U http://geodesic.mathdoc.fr/articles/10.37236/815/ %R 10.37236/815 %F 10_37236_815
A. M. d'Azevedo Breda; Patrícia S. Ribeiro; Altino F. Santos. Dihedral \(f\)-tilings of the sphere by equilateral and scalene triangles. II. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/815
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