Maximizing the Symmetry of Knots

Year: 2020 Authors: Peter Alexander Q. Generao; Carlo H. Séquin

Core claim

Chord diagrams make it easier to uncover and enhance hidden symmetries in knot projections and 3D models.

Topics

knot symmetry, chord diagrams, Reidemeister moves, Dowker-Thistlethwaite code

Domains

knot theory, group symmetries, topological transformations, geometric visualization, aesthetic representation, 3D model design

Methods

exploratory manipulation, chord diagram analysis, Reidemeister moves, DT code encoding

Media

wire, pipe-cleaners, 2D knot projections, 3D models

Source status

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