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Ribbonlength of folded ribbon knots


Speaker: Elizabeth Denne, Washington & Lee University
Location: Zoom Zoom
Start time: Tue, Mar 8 2022, 1:10PM

Take a long thin rectangular strip of paper, and fold a knot it in, flattening it to the plane. Such a knot is called a folded ribbon knot. The folded ribbonlength is the length to width ratio of such a folded ribbon knot. We give upper bounds for ribbonlength for different families of knots. We give upper bounds on folded ribbonlength in terms of the crossing number of a knot type. We also give a construction showing ribbonlength is sublinear in crossing number for torus knot families. This is joint work with undergraduate students.

Join Zoom Meeting Meeting ID: 997 1797 0584 Passcode: 204195