Let $S_p$ denote the slice of the space of cubic polynomials with one free critical point and one marked critical point of period $p$.

In this talk we will describe how to obtain a topological model for the boundary of the ``basilica escape region'' of $S_2$ from the boundary of $S_1$. (The basilica escape region is the escape region of $S_2$ where all non-trivial components of the Julia set are homeomorphic to the basilica, the Julia set of the map $f(z)=z^2-1$.)

This is joint work with Chad Estabrooks and Tom Sharland.