Details
| Original language | English |
|---|---|
| Pages (from-to) | 71-90 |
| Number of pages | 20 |
| Journal | International Mathematics Research Notices |
| Volume | 2020 |
| Issue number | 1 |
| Early online date | 22 Feb 2018 |
| Publication status | Published - Jan 2020 |
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.
ASJC Scopus subject areas
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: International Mathematics Research Notices, Vol. 2020, No. 1, 01.2020, p. 71-90.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A p-angulated Generalisation of Conway and Coxeter's Theorem on Frieze Patterns
AU - Holm, Thorsten
AU - Jørgensen, Peter
N1 - Funding Information: This work was supported by the Engineering and Physical Sciences Research Council [grant
PY - 2020/1
Y1 - 2020/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85081016807&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1709.09861
DO - 10.48550/arXiv.1709.09861
M3 - Article
AN - SCOPUS:85081016807
VL - 2020
SP - 71
EP - 90
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 1
ER -