An elementary proof that dissections of convex polygons into smaller polygons generate frieze patterns of width m-3.
Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics
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abstract
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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On the construction of frieze patterns from partitions of convex polygons by nonintersecting diagonals
An elementary proof that dissections of convex polygons into smaller polygons generate frieze patterns of width m-3.