Calculations on the structures of dimers of all-metal aromatic and anti-aromatic molecules such as (Al-4(2-)) and (Al-4(4-)) reveal that, unlike their organic counterparts such as benzene and cyclobutadiene which form pi-stacked complexes, these molecules form new clusters with no reminiscence of the original units. These clusters have a very large binding energy and can be further stabilized through charge-balance by counterions and solvents.