A Coxeter frieze is an infinite horizontal array of positive real numbers satisfying a simple local condition. Coxeter friezes were defined in 1971 and have been studied intensively in the past decade, because they form a nexus between combinatorics, geometry, mathematical physics, and representation theory.

It is a classic result by Conway and Coxeter that there is a bijection from triangulations of polygons to Coxeter friezes with entries in the natural numbers.

This talk will explain the bijection and show how to generalise it to $p$-angulations. The generalisation is a joint result with Thorsten Holm (Hannover).