In this article we show the non-existence of a class of spherical tilings by congruent quadrangles. We also prove several forbidden substructures for spherical tilings by congruent quadrangles. These are results that will help to complete of the classification of spherical tilings by congruent quadrangles.
@article{581, title = {Spherical tilings by congruent quadrangles: Forbidden cases and substructures}, journal = {ARS MATHEMATICA CONTEMPORANEA}, volume = {11}, year = {2015}, doi = {10.26493/1855-3974.581.a6a}, language = {EN}, url = {http://dml.mathdoc.fr/item/581} }
Akama, Yohji; Van Cleemput, Nico. Spherical tilings by congruent quadrangles: Forbidden cases and substructures. ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015) . doi : 10.26493/1855-3974.581.a6a. http://gdmltest.u-ga.fr/item/581/