Fig. S5.

(A) Reference free energy, taken to be that of a liquid wedge advancing or receding in a defect-free channel at bulk two-phase coexistence $\mu ={\mu }_0\left(T\right)$. The excess free energy $\mathrm{\Delta }\mathrm{\Omega }$ at two-phase coexistence is shown for a lyophobic patch (B) ($u_{\mathrm{w}}/\epsilon =2$) and for a partially wet patch (C) ($u_{\mathrm{w}}/\epsilon =3.5$).