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Infinite friezes

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arxiv 1504.02695 v1 pith:UDOBRCH6 submitted 2015-04-10 math.CO

classification math.CO
keywords infinitetriangulationsfriezesannulicasecharacterizationconsideredentries
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We provide a characterization of infinite frieze patterns of positive integers via triangulations of an infinite strip in the plane. In the periodic case, these triangulations may be considered as triangulations of annuli. We also give a geometric interpretation of all entries of infinite friezes via matching numbers.

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  1. Frieze patterns and aperiodic tilings of the plane

    math.CO 2026-07 accept novelty 7.0 of 10

    Penrose rhombic tilings admit a four-valued vertex frieze pattern and Godrèche–Lançon–Billard tilings admit a three-valued one, both satisfying the diamond rule bc−ad=1.

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