Frieze patterns over algebraic numbers

authored by

Michael Cuntz, Thorsten Holm, Carlo Pagano

Abstract

Conway and Coxeter have shown that frieze patterns over positive rational integers are in bijection with triangulations of polygons. An investigation of frieze patterns over other subsets of the complex numbers has recently been initiated by Jorgensen and the first two authors. In this paper we first show that a ring of algebraic numbers has finitely many units if and only if it is an order in a quadratic number field Q(\sqrt{d}) where d

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Concordia University

Type

Article

Journal

Bulletin of the London Mathematical Society

Volume

56

Pages

1417-1432

No. of pages

16

ISSN

0024-6093

Publication date

02.04.2024

Publication status

Published

Peer reviewed

Yes

Electronic version(s)

https://doi.org/10.48550/arXiv.2306.12148 (Access: Open)
https://doi.org/10.1112/blms.13003 (Access: Open)