There have been several scientific studies which have attempted to quanitfy beauty. Most involve showing photos to panels and having them rate which they think is most attractive, then via measurment determining the common denominators in the photos deemed beautiful: shape of face, width of eyes, shape of nose, etc.
Artists dating back to the ancient Greeks, who discovered Pi and the “Golden Mean” have used it as a guide for composition and defining the perfect proportions for human anatomy.
Composition is how the message of a photo is packaged and facial angles which set-up the geometric relationships between the eyes, mouth, nose and ears are just one aspect of the overall composition in a portrait.
