Department of Mathematics
Washington and Lee University
Thursday, Feb. 21 at 11am
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.