When a dog turns his head away, but swivels his eyes around to keep you
in sight, he is displaying "whale eye," and is usually frightened or
guarding something. The whites of his eyes will show in a crescent shape
and disturbing him can lead to growling or snapping. A stiff body
completes the tense picture. Dogs have a sideways glance for more
relaxed moments, too: not much white will show and his body will look at
ease.