Geometric Techniques in Knot Theory

Studio experiments based on a talk from Jessica Purcell – this progression of diagrams (clockwise from top left) shows the process by which a knot in 3-space can be treated as a pair of polyhedra


3 thoughts on “Geometric Techniques in Knot Theory

  1. The trouble with these is that they fall a little bit into that Platonic trap. On the other hand they’re soft, malleable versions of these kinds of mental representations. In a way I need to make them less solid for them to work better. Numbers 6-8 need some more stuff, really, those pink lines we had. That’s important for the progression.


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