Frieze patterns over algebraic numbers

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 Jørgensen and the first two authors. In this paper, we fir...

Full description

Saved in:
Bibliographic Details
Published in:The Bulletin of the London Mathematical Society 2024-04, Vol.56 (4), p.1417-1432
Main Authors: Cuntz, Michael, Holm, Thorsten, Pagano, Carlo
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 Jørgensen 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(d)$\mathbb {Q}(\sqrt {d})$ where d
ISSN:0024-6093
1469-2120
DOI:10.1112/blms.13003