A p-angulated generalisation of Conway and Coxeter's theorem on frieze patterns

TY - JOUR

T1 - A p-angulated generalisation of Conway and Coxeter's theorem on frieze patterns

AU - Holm, Thorsten

AU - Jørgensen, Peter

PY - 2020/1/1

Y1 - 2020/1/1

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 - 10.1093/imrn/rny020

DO - 10.1093/imrn/rny020

M3 - Journal article

SN - 1073-7928

VL - 2020

SP - 71

EP - 90

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 1

ER -