}$$ for any sequence $(\Lambda_n)_{n \in {{\mathbb N}}} \subseteq {{\mathcal B}}^0_{{{\mathbb{Z}}}^d}$ of simply connected sets with $\Lambda_n \nearrow {{\mathbb{Z}}}^d$.  0.  $\mu^+$ and $\mu^-$ satisfy the sea with islands picture for the $