Arithmetics of 2-friezes
Combinatorics
2012-01-13 v2
Abstract
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
Cite
@article{arxiv.1109.0917,
title = {Arithmetics of 2-friezes},
author = {Sophie Morier-Genoud},
journal= {arXiv preprint arXiv:1109.0917},
year = {2012}
}
Comments
20 pages, 7 figures