English

Arithmetic Y-frieze patterns of width 3 and 4

Combinatorics 2025-08-22 v1

Abstract

We determine all arithmetic Y-Frieze patterns of width 33 and 44. As a consequence, for n=3,4n=3,4, we verify the surjectivity of a map pnp_n which corresponds arithmetic Y-Frieze patterns of width nn to Coxeter's Frieze patterns.

Cite

@article{arxiv.2508.15330,
  title  = {Arithmetic Y-frieze patterns of width 3 and 4},
  author = {Katsuhiko Matsuzaki and Taiki Resnick},
  journal= {arXiv preprint arXiv:2508.15330},
  year   = {2025}
}
R2 v1 2026-07-01T04:59:37.783Z