A slight tilt of the face to the left or the right changes the emotional message you send. There’s a whole field of study on what’s called laterality that looks at how the asymmetry of your posture says things you might not realize.
Mike Nicholls has done some interesting work. In one study, he took two pictures of just the left side of peoples’ faces and reflected one half to make a composite image that basically had just two left sides or two right sides. The image above (which was not done by Nichols) shows an original photo, a left-left composite and a right-right composite. He found that:
… head turns of just 15 degrees can bring about significant changes in the perceived emotionality.
Nicholls discusses the implications with regards to the fact that portraits tend to feature the left side of the face. However, it is also interesting to think about what this means for non-verbal communication. Another paper, using 3D imaging of facial movements showed that:
Emotions are expressed more clearly on the left side of the face than the right … There was a trend, however, for left-sided movement to be more pronounced for negative than positive emotions.