This example is one of the two models over a neighborhood of a point in $\Delta_{d}$ –in [7] this is called $(2,1)$ fibration. Let $Y=T^{2}\times B$ with $B$ homeomorphic to a 3-ball. Let $\Delta\subset B$ be a cone over three distinct, non-collinear points. We write $\Delta=\{b_{0}\}\cup\Delta_{1}\cup\Delta_{2}\cup\Delta_{3}$ where $b_{0}$ is the vertex of $\Delta$ and the $\Delta_{i}$ are the legs of $\Delta$. Fix a basis $e_{2}$, $e_{3}$ for $H_{1}(T^{2},\mathbb{Z})$. Define $\Sigma\subset T^{2}\times B$ to be a pair of pants lying over $\Delta$ such that for $i=1,2,3$, $\Sigma\cap(T^{2}\times\Delta_{i})$ is a leg of $\Sigma$ which is the cylinder generated by $-e_{3}$, $-e_{2}$ and $e_{2}+e_{3}$ respectively. These legs are glued together along a nodal curve or ‘figure eight’ lying over $b_{0}$. Now consider an $S^{1}$-bundle $\pi^{\prime}:X^{\prime}\rightarrow Y^{\prime}=Y-\Sigma$ with Chern class $c_{1}=1$. This bundle compactifies to $\pi:X\rightarrow Y$. Now consider the projection map $P:Y\rightarrow B$. The composition $f=P\circ\pi$ is a proper map. The generic fibre of $f$ is a 3-torus. For $b\in\Delta$ the fibre $f^{-1}(b)$ is singular along $P^{-1}(b)\cap\Sigma$, which is a circle when $b\in\Delta_{i}$, or the aforementioned figure eight when $b=b_{0}$. Thus the fibres over $\Delta_{i}$ are homeomorphic to $I_{1}\times S^{1}$, whereas the central fibre, $X_{b_{0}}$, is singular along a nodal curve. A regular fibre can be regarded as the total space of an $S^{1}$-bundle over $P^{-1}(b)$. We can take as a basis of $H_{1}(X_{b},\mathbb{Z})$, $e_{1}(b),e_{2}(b),e_{3}(b)$, where $e_{2}$ and $e_{3}$ are the 1-cycles in $P^{-1}(b)=T^{2}$ as before and $e_{1}$ is a fibre of the $S^{1}$-bundle. The cycle $e_{1}(b)$ vanishes as $b\rightarrow\Delta$. In this basis, the matrices generating the monodromy group corresponding to loops $g_{i}$ about $\Delta_{i}$ with $g_{1}g_{2}g_{3}=1$, (cf. Figure 3) are