3 problems

A Montesinos knot is a knot in the Montesinos class, and a BB knot is a knot whose bridge index equals its braid index. The source refers to the non-alternating Montesinos knots de…

Let $K$ be a knot type, with braid index $\operatorname{braid}(K)$ and bridge index $\operatorname{bridge}(K)$. Consider the equilibrium shapes of closed springy wires representing…

A BB knot is a knot whose bridge index equals its braid index. For a BB knot realized as a closed springy metal wire, the equilibrium state is conjectured to have an almost planar…