Uploaded November 2025 | Updated September 2026, 3 weeks ago

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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.

Hiroaki Nakamura (Osaka University)

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