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The self-assembly in two dimensions of spherical magnets in strong magneticfield is addressed theoretically. %% It is shown that the attraction andassembly of parallel magnetic chains is the result of a delicate interplay ofdipole-dipole interactions and short ranged excluded volume correlations. %%Minimal energy structures are obtained by numerical optimization procedure aswell as analytical considerations. For a small number of constitutive magnets$N_{\rm tot}\leq26$, a straight chain is found to be stable. In the regime oflarger $N_{\rm tot}\geq27$, the magnets form \textit{two touching} chains withequally long tails at both ends. We succeed to identify the transition from\textit{two} to \textit{three} touching chains at $N_{\rm tot}=129$.

Self-Assembly of Magnetic Spheres in Strong Homogeneous Magnetic Field