We continue with the notation of examples 3.76 and 4.3. The fan $\Sigma_{\Delta^{n}}$ has $n+1$ rays. For each $i=0,\dots,n$, the closure of the orbit corresponding to the ray generated by the vector $e_{i}$ is the standard hyperplane of $\mathbb{P}^{n}$

$$H_{i}:=V(\langle e_{i}\rangle)=\{(p_{0}:\dots:p_{n})\in\mathbb{P}^{n}\mid p_{i}=0\}.$$

The function $\Psi_{\Delta^{n}}$ is a support function on $\Sigma_{\Delta^{n}}$ and the $\mathbb{T}$-Weil divisor associated to $D_{\Psi_{\Delta^{n}}}$ is $[D_{\Psi_{\Delta^{n}}}]=H_{0}$.