Decorative Knots

Knots and braids from Celtic motives to M. C. Escher

• Knot theory
  • Knots, knot theory, knot group
  • Topology of knots, links & braids
  • Knot diagram, Reidemeister move, Dowker & Conway notations
  • Prime knots, knot invariants, Jones polynomial, Alexander-Conway polynomial
  • List of knots and links
• Decorative knots
  • Lissajous knot
  • Celtic knots
  • Glassner, Abbott and Mercat algorithms
• Spatial knots
  • Borromean rings
  • Polyhedral and torus knots
  • Ribbon knots, Seifert surface

Discussion

• The Knot Atlas
• Lorenz and Modular Flows: A Visual Introduction (Etienne Ghys)
• Knots and surfaces (Norman J. Wldberger)
• Doodling in Math Class: Snakes + Graphs (Vi Hart)
• Celtic Knotwork: The Ultimate Tutorial

Assignment

Knotting

Escher Stripes – Knot3d – KnotPlot – Knots – Knots3d – KnotsBag – Knotter – Knottyer – Knotwork – Pretztangles – SeifertView – Uzlovač

 

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