'A lot of times, asymmetry will bring energy and movement to a pose or composition. More specifically, I feel like breaking the symmetry of a character’s expression is key to bring interest to it. Of course, there’s always a situation where there’s a need for symmetry. On top of my head, I can think of depicting a character who has an authority role, or the “undefeated champion of something”, or the “cold stone killer”, etc. So, a symmetrical facial expression usually means the character is: supremely bored, supremely confident, has no emotions, has a poker face, or is dead. Did I miss one?
In general, it’s a great way to flesh out a character’s thought process. What is he/she thinking about? What’s their goal?'
Source: grizandnorm.tumblr.com