2 problems

Take a polygon $\Omega$ whose boundary is composed of edges of a hexagonal lattice of mesh $h$, and let $A_1,A_2,A_3,A_4,A_5,A_6$ be boundary vertices. Assign each hexagon one of f…

Let $\kappa\in(0,8)$, let $\nu>(-4)\vee(\kappa/2-6)$, and let $(\Omega;x_1,x_2,x_3,x_4)$ be a quad. Let $\eta$ be an $\operatorname{hSLE}_{\kappa}(\nu)$ in $\Omega$ from $x_1$ to…