Arithmetic Y-frieze patterns of width 3 and 4

2025/08/21 by Katsuhiko Matsuzaki, Matsuzaki, Katsuhiko, Taiki Resnick +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2508.15330

Abstract

We determine all arithmetic Y-Frieze patterns of width 3 and 4. As a consequence, for n=3,4, we verify the surjectivity of a map p_n which corresponds arithmetic Y-Frieze patterns of width n to Coxeter's Frieze patterns.

Citations

• Frieze patterns
• Frieze patterns over integers and other subsets of the complex numbers
• Arithmetics of 2-friezes

Related

• Again around frieze patterns
• Frieze patterns of integers
• Arithmetics of 2-friezes
• Coxeter's Frieze Patterns Arising from Dyck Paths
• Frieze patterns over algebraic numbers