Juggler's friezes
Combinatorics
2022-08-22 v1 Rings and Algebras
Abstract
This note generalizes -friezes to configurations of numbers in which one of the boundary rows has been replaced by a ragged edge (described by a juggling function). We provide several equivalent definitions/characterizations of these juggler's friezes, in terms of determinants, linear recurrences, and a dual juggler's frieze. We generalize classic results, such as periodicity, duality, and a parametrization by part of a Grassmannian. We also provide a method of constructing such friezes from certain matrices using the twist of a matrix.
Cite
@article{arxiv.2208.09025,
title = {Juggler's friezes},
author = {Roi Docampo and Greg Muller},
journal= {arXiv preprint arXiv:2208.09025},
year = {2022}
}