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Combinatorics and Arithmetic of Lissajous 3-braids

By Hiroaki Nakamura

Appears in collection : Combinatorics and Arithmetic for Physics

We introduce a classification of braids arising from 3-body motions along Lissajous curves on the plane and discuss illustrations through the lenses of associated continued fractions, cutting sequences of checkered Farey tesselation and/or symbolic frieze patterns. This is a joint work with Eiko Kin and Hiroyuki Ogawa.

Information about the video

  • Date of recording 21/11/2025
  • Date of publication 26/11/2025
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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