Given a neighborhood $N_{2}(\partial\mathcal{V})$ of $\partial\mathcal{V}\subset\partial\Delta^{\vee}_{\lambda}\cong\Sigma$, there is a $\delta>0$ such that

1. (1)

   If $n\in Q^{\lambda^{\epsilon}}_{v}$, then $\langle v,\mathfrak{X}^{\delta}(n)\rangle=1$.

2. (2)

   If $n\in V_{w}\backslash N_{2}(\partial\mathcal{V})$, the flow line $\mathcal{F}_{n}$ through $n$ is a straight line parallel to $w$ outside $\Delta^{\vee}_{\lambda^{\delta}}$.