Publication details
Subpolygons in Conway-Coxeter frieze patterns
Abstract
Friezes with coefficients are maps assigning numbers to the edges and diagonals of a regular polygon such that all Ptolemy relations for crossing diagonals are satisfied. Among these, the classic Conway-Coxeter friezes are the ones where all values are positive integers and all edges have value 1. Every subpolygon of a Conway-Coxeter frieze yields a frieze with coefficients over the positive integers. In this paper we give a complete arithmetic criterion for which friezes with coefficients appear as subpolygons of Conway-Coxeter friezes. This generalizes a result of our earlier paper with Peter Jørgensen from triangles to subpolygons of arbitrary size.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- Type
- Article
- Journal
- Algebraic Combinatorics
- Volume
- 4
- Pages
- 741-755
- No. of pages
- 15
- Publication date
- 02.09.2021
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Electronic version(s)
-
https://doi.org/10.5802/ALCO.180 (Access:
Open
)
