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arXiv · 2607.21348

Frieze patterns and aperiodic tilings of the plane

Dirk Frettlöh·Jan Mazáč
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Abstract

This short note provides two examples of aperiodic frieze patterns of the plane, supported on the rhombic Penrose tiling and the Godrèche--Lançon--Billard tiling. That is, we provide a decoration of their vertices with positive integers which satisfy the diamond rule, in analogy to the usual (in)finite frieze patterns as defined by Conway and Coxeter.

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Dirk Frettlöh, Jan Mazáč. 2026-07-23. Frieze patterns and aperiodic tilings of the plane. https://arxiv.org/abs/2607.21348

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