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Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics

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arxiv 1503.05049 v2 pith:KLS76PA5 submitted 2015-03-17 math.CO

Sophie Morier-Genoud This is my paper · ORCID
classification math.CO
keywords coxeterfriezepatternsaimsalgebraalgebrasapproachesaround
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Frieze patterns of numbers, introduced in the early 70's by Coxeter, are currently attracting much interest due to connections with the recent theory of cluster algebras. The present paper aims to review the original work of Coxeter and the new developments around the notion of frieze, focusing on the representation theoretic, geometric and combinatorial approaches.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 2-periodic frieze patterns

    math.RA 2025-06 conditional novelty 7.0 of 10

    Every 2-periodic positive real mesh frieze of finite type A, D or E is constant, or lies in a one- or two-parameter family, with the exact count depending on the type.

  2. On the construction of frieze patterns from partitions of convex polygons by nonintersecting diagonals

    math.CO 2025-09 conditional novelty 4.0 of 10

    An elementary proof that dissections of convex polygons into smaller polygons generate frieze patterns of width m-3.

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