I think you reveal yourself by doing. One example is writing. Take Freud, he revealed himself perhaps more than any person before him by telling us his dreams, together with the tools to interpret them. Napoleon revealed himself by conquering Europe.
If you're speaking about the people around you - it's the same. Writing about your thoughts, your actions, this is what really reveals yourself.
Most importantly, you want to reveal yourself to others by revealing yourself to yourself. That is, by revealing yourself you want to become something else than what you were before. (I seem to remember this point appearing somewhere in the
actors and acting conversation). By forcing yourself to write you are not only bringing things into words and revealing yourself to others, you are making something of yourself. Similarly, by conquering Europe, or whatever we do in our lives. Some actions don't reveal ourselves, but I would say we should focus all our actions to those which do.