dc.identifier.uri |
http://dx.doi.org/10.15488/16763 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/16890 |
|
dc.contributor.author |
Cuntz, Michael
|
|
dc.contributor.author |
Holm, Thorsten
|
|
dc.date.accessioned |
2024-03-25T08:03:49Z |
|
dc.date.available |
2024-03-25T08:03:49Z |
|
dc.date.issued |
2021 |
|
dc.identifier.citation |
Cuntz, M.; Holm, T.: Subpolygons in conway-coxeter frieze patterns. In: Algebraic Combinatorics 4 (2021), Nr. 4, S. 741-755. DOI: https://doi.org/10.5802/alco.180 |
|
dc.description.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. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Saint-Martin d’Hères : Centre Mersenne |
|
dc.relation.ispartofseries |
Algebraic Combinatorics 4 (2021), Nr. 4 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
|
dc.subject |
Cluster algebra |
eng |
dc.subject |
Frieze pattern |
eng |
dc.subject |
Polygon |
eng |
dc.subject |
Quiddity cycle |
eng |
dc.subject |
Tame frieze pattern |
eng |
dc.subject |
Triangulation |
eng |
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
Subpolygons in conway-coxeter frieze patterns |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
2589-5486 |
|
dc.relation.doi |
https://doi.org/10.5802/alco.180 |
|
dc.bibliographicCitation.issue |
4 |
|
dc.bibliographicCitation.volume |
4 |
|
dc.bibliographicCitation.firstPage |
741 |
|
dc.bibliographicCitation.lastPage |
755 |
|
dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
|