On Wild Frieze Patterns

DOI10.1080/10586458.2016.1172526zbMath1367.05207arXiv1504.07048OpenAlexW1552258430MaRDI QIDQ4976188

Michael Cuntz

Publication date: 27 July 2017

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07048

zbMATH Keywords

frieze pattern\(\mathrm{SL}_k\)-friezewild friezes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of representation theory (05E10) Cluster algebras (13F60)

Related Items (7)

Rotundus: triangulations, Chebyshev polynomials, and Pfaffians ⋮ Friezes satisfying higher \(\mathrm{SL}_k\)-determinants ⋮ Subpolygons in Conway-Coxeter frieze patterns ⋮ Unnamed Item ⋮ Counting Coxeter's friezes over a finite field via moduli spaces ⋮ FRIEZE PATTERNS WITH COEFFICIENTS ⋮ Partitions of unity in \(\mathrm{SL}(2,\mathbb Z)\), negative continued fractions, and dissections of polygons

Cites Work

• Frieze patterns as root posets and affine triangulations
• Arithmetics of 2-friezes
• Weyl groupoids of rank two and continued fractions.
• Reflection groupoids of rank two and cluster algebras of type \(A\)
• Cluster algebras as Hall algebras of quiver representations.
• Linear difference equations, frieze patterns, and the combinatorial Gale transform
• Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics
• Triangulated polygons and frieze patterns

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