[en] Highlights: • Calculation of the translation-rotation eigenstates of H₂[email protected]₆₀ assemblies is described. • The eigenstates of linear assemblies of H₂[email protected]₆₀ moieties are computed. • Eigenstates exhibiting significant dipole ordering are observed. We present methodology for variational calculation of the $6n$-dimensional translation-rotation (TR) eigenstates of assemblies of n H₂[email protected]₆₀ moieties coupled by dipole-dipole interactions. We show that the TR Hamiltonian matrix for any n can be constructed from dipole-dipole matrix elements computed for $n=2$. We present results for linear H₂[email protected]₆₀ assemblies. Two classes of eigenstates are revealed. One class comprises excitations of the $1_{11}$ rotational level of H₂O. The lowest-energy $1_{11}$-derived eigenstate for each assembly exhibits significant dipole ordering and shifts down in energy with the assembly size.