2-periodic frieze patterns

TL;DR

This paper classifies 2-periodic mesh friezes of finite type A, D, or E with positive real entries, revealing families with varying parameters based on the type.

Contribution

It provides a complete classification of 2-periodic mesh friezes of finite type A, D, and E with positive real entries, including parameterized families.

Findings

Classified 2-periodic mesh friezes for types A, D, E

Identified families with 0, 1, or 2 parameters

Established the structure of these friezes

Abstract

We classify 2-periodic mesh friezes of finite type $A$, $D$ or $E$ with positive real entries. There are families with 0,1, or 2 parameters, depending on type.