To be unconventional is to be free of conditions, free from pre-set and externally-defined thoughts and feelings set down by society. As long as any ideas and notions of convetionality figure in your thoughts, you are not free and even if you think you are being unconventional, you are not. You are just playing at being inconvetional. To be truly unconvetional naturally happens, when you are no longer afraid to be your self and to live according to your inner truth born from loving awareness. In this state you no longer even remember that there are conventions existing.