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arXiv · 1709.09861

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

Thorsten Holm·Peter Jorgensen
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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 non-integral frieze patterns. We also show that polygon dissections give rise to even more general non-integral frieze patterns.

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Thorsten Holm, Peter Jorgensen. 2018-01-25. A $p$-angulated generalisation of Conway and Coxeter's theorem on frieze patterns. https://arxiv.org/abs/1709.09861

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