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Coxeter’s Frieze Patterns Arising from Dyck Paths

Frieze patterns are defined by objects of a category of Dyck paths, to do that, it is introduced the notion of diamond of Dynkin type $${\mathbb {A}}_{n}$$ . Such diamonds… Click to show full abstract

Frieze patterns are defined by objects of a category of Dyck paths, to do that, it is introduced the notion of diamond of Dynkin type $${\mathbb {A}}_{n}$$ . Such diamonds constitute a tool to build integral frieze patterns.

Keywords: patterns arising; arising dyck; coxeter frieze; frieze patterns; dyck paths; frieze

Journal Title: Ricerche Di Matematica
Year Published: 2021

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