Figure 1.1 schematically shows the collapsing process when $b_{-}=b_{+}=7$, $m=1$, and $t_{1}=\frac{1}{2}$. In this case we have the maximal possible number $b_{-}+b_{+}=14$ of Taub-NUT bubbles coming out of one single singular pre-image component $\mathcal{S}^{1}_{\epsilon}=F_{\beta}^{-1}(t_{1}-\epsilon,t_{1}+\epsilon)$.