Frieze patterns

2022/10/04 by Panov, Aleksei, Panov, Dmitri, Panov, Peter · 8 citations
#FOS: Mathematics #History and Overview (math.HO)

paper · doi:10.48550/arxiv.2210.07953

Abstract

We discuss here the geometry of frieze patterns, and add a few words about Greek vases, molecular symmetry, and 2D crystallography. The work is written primarily for school students.

Cited by

• SL₂-tilings with translational symmetry
• Heronian friezes and Plücker relations
• Penrose tilings, infinite friezes, and the A_∞-singularity
• The Cyclic Sieving Phenomenon and frieze patterns
• Frieze patterns in representation theory
• Arithmetic Y-frieze patterns of width 3 and 4
• Ptolemy's equation and kin
• 2-periodic frieze patterns

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• Frieze patterns in representation theory
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• Coxeter's Frieze Patterns Arising from Dyck Paths