Hurricane Links

Within knot theory, it has been shown that all knots are hyperbolic, torus, or satellite knots. It is beneficial to be able to draw such knots, or equivalent forms, in methodically intuitive ways. This project is an exploratory study into an algorithm for drawing links, which we refer to as hurricane links. We show that this algorithm produces all torus links. We also consider generalizations to our algorithm to generate links embedded on other surfaces.