Publikationsdetails
Subpolygons in Conway-Coxeter frieze patterns
- verfasst von
- Michael Cuntz, Thorsten Holm
- 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.
- Organisationseinheit(en)
-
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Typ
- Artikel
- Journal
- Algebraic Combinatorics
- Band
- 4
- Seiten
- 741-755
- Anzahl der Seiten
- 15
- Publikationsdatum
- 02.09.2021
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Diskrete Mathematik und Kombinatorik
- Elektronische Version(en)
-
https://doi.org/10.5802/ALCO.180 (Zugang:
Offen)