2 problems

Let $K$ be a knot type. Its stick number is the minimum number of edges in a polygonal realization of $K$, denoted by $\operatorname{stick}[K]$, and its superbridge index is the mi…

Let a collection of 8 vectors in $\mathbb{R}^2$ project to the sides of a regular 8-gon. Reordering the vectors means arranging them tip-to-tail to obtain a polygonal knot projecti…