Geodesic
Spherical tilings by congruent quadrangles: Forbidden cases and substructures
Ars Mathematica Contemporanea, Tome 8 (2015) no. 2, pp. 297-318.

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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.
DOI : 10.26493/1855-3974.581.a6a
Keywords: Spherical tiling by congruent quadrangles, monohedral tiling, quadrangulation. 
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Yohji Akama; Nico Van Cleemput. Spherical tilings by congruent quadrangles: Forbidden cases and substructures. Ars Mathematica Contemporanea, Tome 8 (2015) no. 2, pp. 297-318. doi : 10.26493/1855-3974.581.a6a. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.581.a6a/

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