Arithmetics of 2-friezes

Details Arithmetics of 2-friezes Arithmetics of 2-friezes

2011-09-05

arxiv.org/abs/1109.0917v2

Mathematics

Combinatorics

20 pages, 7 figures

Scientific paper

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.

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