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In this paper we show that the solution of the discrete Double Bubble problemover $\mathbb{Z}^2$ is at most the ceiling function plus two of the continuoussolution to the Double Bubble problem, with respect to the $\ell^1$ norm, foundin \cite{morgan1998wulff} and \cite{duncan2020elementary}.

Discrete $\ell^{1}$ Double Bubble solution is at most ceiling +2 of the continuous solution