3 papers
math.CO2026
Finite and infinite frieze patterns from p-angulations and a generalization of Weyl groupoids
Michael Cuntz, Thorsten Holm, Peter Jorgensen
A classic result of Conway and Coxeter on frieze patterns has been generalized to a bijection between -angulations of regular polygons and frieze patterns of type . One of…
math.CO2024
Frieze patterns over finite commutative local rings
Bernhard Böhmler, Michael Cuntz
We count numbers of tame frieze patterns with entries in a finite commutative local ring. For the ring , a prime and we obtain closed…
math.CO2024
Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing
Michael Cuntz, Thorsten Holm, Peter Jorgensen
This paper studies a non-commutative generalisation of Coxeter friezes due to Berenstein and Retakh. It generalises several earlier results to this situation: A formula for frieze…