2 papers
math.GT2025
Bounded ribbonlength for knot families and multi-twist Möbius bands
Elizabeth Denne, Timi Patterson
Take a thin, rectangular strip of paper, add in an odd number of half-twists, then join the ends together. This gives a multi-twist paper Möbius band. We prove that any multi-twist…
math.GT2025
Ribbonlength upper bounds for small crossing knots and links
Zhicheng Chen, Elizabeth Denne, Kyle Patterson +1
Given a thin strip of paper, tie a knot, connect the ends, and flatten into the plane. This is a physical model of a folded ribbon knot in the plane, first introduced by Louis Kauf…