New lower bound for the distortion of a knotted curve

Abstract

We prove that distortion of a knotted curve in ${\mathbb{R}}^3$ is great than 4.76. This improves a result obtained by John M. Sullivan and Elizabeth Denne in \cite{DS}.

8 pages, 3 figures

References in corpus (2)

• Quadrisecants give new lower bounds for the ropelength of a knot
• The Distortion of a Knotted Curve