Folded ribbon knots in the plane

Colloquium

Elizabeth Denne
Associate Professor
Department of Mathematics
Washington and Lee University
Thursday, Feb. 21 at 11amĀ 
Manchester Hall, Room 018

Folded ribbon knots in the plane.

Abstract: We study Kauffman’s model of a folded ribbon knot: a knot made from a thin strip of paper folded flat in the plane. The folded ribbonlength is the length to width ratio of such a ribbon, and it turns out the way a ribbon is folded influences the ribbonlength.  We give upper bounds on ribbonlength for several different families of knots. We also relate the ribbonlength of a knot to the crossing number of the knot, again giving bounds for several different families of knots. This is joint work with undergraduate students. 

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