Heronian friezes

20 Feb 2020 Fomin Sergey Setiabrata Linus

Motivated by computational geometry of point configurations on the Euclidean plane, and by the theory of cluster algebras of type A, we introduce and study Heronian friezes, the Euclidean analogues of Coxeter's frieze patterns. We prove that a generic Heronian frieze possesses the glide symmetry (hence is periodic), and establish the appropriate version of the Laurent phenomenon... (read more)

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Categories


  • METRIC GEOMETRY
  • COMBINATORICS