Abstract by Samantha Sandberg
A Complete Set of Moves for Petal Words
When working with knot projections, the standard method to determine whether two projections represent the same knot type is to create a sequence of Reidemeister moves connecting the first knot diagram to the second. We discuss a similar approach using petal projections and petal words of a knot. Petal projections, as defined by Adams' et. al., allow us to describe a knot using a finite sequence of integers, called a petal word. While each knot type has infinitely many petal words associated with it, we describe a sequence of moves which allows us to relate any two petal words representing the same knot type.