ForschungPublikationen
Publikationsdetails

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 natural numbers and all edges have value 1. Every subpolygon of a Conway-Coxeter frieze yields a frieze with coefficients over the natural numbers. 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 Jorgensen from triangles to subpolygons of arbitrary size.

Organisationseinheit(en)
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Typ
Preprint
Publikationsdatum
31.03.2020
Publikationsstatus
Elektronisch veröffentlicht (E-Pub)