Dating back to L\'evy (1948) and Courant (1950), the \emph{bridge principle} is the idea that it should be possible to join two minimal submanifolds along their boundaries by a thin bridge and perturb the new configuration (i.e. the \emph{approximate solution}) so that it is minimal. In 1987, Smale proved the bridge principle for smooth (possibly unstable) minimal submanifolds in Euclidean space having arbitrary dimension and codimension by solving a fixed point problem for the stability operator $L$ on the normal bundle of the approximate solution. Two years later, Smale constructed the first examples of minimal hypersurfaces with multiple isolated singularities by extending their bridge principle to strictly stable (i.e. $L$ positive definite) minimal hypercones in $\mathbb{R}^{n+1}$ ($n \geq 7$). In this talk, we discuss a recent extension of Smale's singular bridge principle to strictly stable minimal cones in $\mathbb{R}^{n+m+1}$ ($n \geq 3$) having arbitrary codimension $m +1 = 1,2, \ldots$. As an application, we demonstrate that the bridge principle can be used to produce a four dimensional Lipschitz minimal graph in $\mathbb{R}^7$ with any finite number of isolated singularities. Since $n$-dimensional Lipschitz minimal graphs are smooth when $n \leq 3$ (Fischer-Colbrie, 1980) and the singular set of any such Lipschitz graph has Hausdorff dimension at most $n-4$ (Dimler, 2023), this construction is sharp in $n$.