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

Thorsten Holm, Peter Jørgensen*

*Corresponding author af dette arbejde

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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.

OriginalsprogEngelsk
TidsskriftInternational Mathematics Research Notices
Vol/bind2020
Nummer1
Sider (fra-til)71-90
Antal sider20
ISSN1073-7928
DOI
StatusUdgivet - jan. 2020
Udgivet eksterntJa

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