On upper bounds of frieze patterns

In this note, we show that the sequence of maximum values in frieze patterns of type \(A_n\) is the sequence of Fibonacci numbers, and that of frieze patterns of type \(C_n\) is the sequence of odd Fibonacci numbers.

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Bibliographic Details
Published in:arXiv.org 2024-11
Main Authors: Cheah, Jon, de Saint Germain, Antoine
Format: Article
Language:English
Subjects:
Fibonacci numbers
Sequences
Upper bounds
Online Access:Get full text
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Summary:In this note, we show that the sequence of maximum values in frieze patterns of type \(A_n\) is the sequence of Fibonacci numbers, and that of frieze patterns of type \(C_n\) is the sequence of odd Fibonacci numbers.
ISSN:2331-8422