Geodesic
Arithmetics of 2-friezes
Journal of Algebraic Combinatorics, Tome 36 (2012) no. 4, pp. 515-539.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider the variant of Coxeter-Conway frieze patterns called 2-frieze. We prove that there exist infinitely many closed integral 2-friezes (i.e. containing only positive integers) provided the width of the array is bigger than 4. We introduce operations on the integral 2-friezes generating bigger or smaller closed integral 2-friezes.
Keywords: frieze, Coxeter-Conway frieze, cluster algebra, Laurent phenomenon 
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     author = {Morier-Genoud, Sophie},
     title = {Arithmetics of 2-friezes},
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     url = {http://geodesic.mathdoc.fr/item/JAC_2012__36_4_a5/}
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Morier-Genoud, Sophie. Arithmetics of 2-friezes. Journal of Algebraic Combinatorics, Tome 36 (2012) no. 4, pp. 515-539. http://geodesic.mathdoc.fr/item/JAC_2012__36_4_a5/