Rotundus: triangulations, Chebyshev polynomials, and Pfaffians

DOI10.1007/s00283-017-9753-7zbMath1405.15010arXiv1707.09106OpenAlexW2739605835WikidataQ129359098 ScholiaQ129359098MaRDI QIDQ1622641

Valentin Ovsienko, Charles H. Conley

Publication date: 19 November 2018

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09106

zbMATH Keywords

triangulationPfaffianChebyshev polynomialcontinuantrotundus

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Solving polynomial systems; resultants (13P15)

Related Items (7)

Combinatorics of congruence subgroups of the modular group. II ⋮ A four-vertex theorem for frieze patterns? ⋮ Continuant, Chebyshev polynomials, and Riley polynomials ⋮ Farey boat: continued fractions and triangulations, modular group and polygon dissections ⋮ Quantum continuants, quantum rotundus and triangulations of annuli ⋮ Partitions of unity in \(\mathrm{SL}(2,\mathbb Z)\), negative continued fractions, and dissections of polygons ⋮ Lagrangian configurations and symplectic cross-ratios

Cites Work

• Catalan-like numbers and determinants
• Coxeter Friezes and Triangulations of Polygons
• Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics
• Triangulated polygons and frieze patterns
• On Wild Frieze Patterns
• Frieze patterns
• \(\mathrm{SL}_2(\mathbb{Z})\)-tilings of the torus, Coxeter-Conway friezes and Farey triangulations

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