Self-assembly of peptide into nanostructures is believed to be stabilized primarily by aromatic interactions. Using a minimalistic approach, we probed the importance of aromatic interactions in the self-assembly of simple model dipeptides. Our results suggest that aromaticity may not be absolutely essential for self-assembly, even though it tends to provide directionality to the assembly. We found that peptides containing cyclic/linear side chain hydrophobic residues were also capable of forming stable self-assemblies that are stabilized by hydrophobic interactions. Our observations will find relevance in the design of small peptide based nanoparticles.