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Frieze patterns over integers and other subsets of the complex numbers

Frieze patterns over integers and other subsets of the complex numbers

We study (tame) frieze patterns over subsets of the complex numbers, with particular emphasis on the corresponding quiddity cycles. We provide new general transformations for quiddity cycles of frieze patterns. As one application, we present a combinatorial model for obtaining the quiddity cycles of all tame frieze patterns over the …