The amoeba $\mathcal{A}^{\lambda}=\log(Z_{a}^{\operatorname{af{}f}})$ lies outside of $\Delta^{\vee}_{\lambda-c}$. In particular, the foliation $\mathcal{F}_{\lambda-c,\nu,h}$ of $\mathbb{R}^{d}\backslash\Delta^{\vee}_{\lambda-c}$ induces the fibration $\mathcal{A}^{\lambda}\to\partial\Delta^{\vee}_{\lambda-c}$ by projection along the leaves.