Being rebellious is not a matter of wearing outlandish clothes, living on the fringe, or in fact anything external. It is a matter of having the courage to stand by your convictions and base your actions on these convictions.
Being truly rebellious involves understanding the system, and knowing things for what they are, and then making up your own mind. This philosophy can be applied to absolutely anything in the way you live your life.
Rebellion is usually exhibited by the choices that you make. For example, Hobart accommodation might not interest a rebellious traveller. They may shun all conventional choices associated with tourism and may opt to live in the Australian outback in a shelter they make themselves!
This was an example to illustrate that the scope of being rebellious is rather large. Rebelliousness need not be confined just to simple choices like what kind of travel choices you make, or what kind of external image you portray, but can extend to more subtle actions throughout your life.
In the end, rebelliousness is not about following the media perpetuated myth of a 'rebellious youth' who wears this or does that, but to understand how the forces of power work in this world, to stay aware of them, and then to make up your own mind without being manipulated.