Publication details
A p-angulated Generalisation of Conway and Coxeter's Theorem on Frieze Patterns
Abstract
Coxeter defined the notion of frieze pattern, and Conway and Coxeter proved that triangulations of polygons are in bijection with integral frieze patterns. We show a p-angulated generalisation involving nonintegral frieze patterns. We also show that polygon dissections give rise to even more general nonintegral frieze patterns.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Newcastle University
- Type
- Article
- Journal
- International Mathematics Research Notices
- Volume
- 2020
- Pages
- 71-90
- No. of pages
- 20
- ISSN
- 1073-7928
- Publication date
- 01.2020
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1709.09861 (Access:
Open
)
https://doi.org/10.1093/imrn/rny020 (Access: Open )
