Today, more than any other era in history, there is an overwhelming preoccupation with beauty. For centuries, poets and artists have been unsuccessful in creating a consistent definition of what is beautiful. There have been many artistic interpretations, yet a reproducible mathematical definition is absent and clearly needed.
In today’s world, the modern language of computerized communication calls for reproducible
mathematical data. It is important for artists and surgeons to develop a mathematical equation that accu- rately assesses, defines, and compares faces as (a) beautiful, (b) attractive, (c) average, or (d) unattractive.
It is important to re-emphasize that for well over a century, the attractiveness of a woman’s figure (chest, waist, and hips) has been based on numerical measurements (e.g. 36-24-35). The hip-waist ratio has also been studied as a symbol of fertility and fecundity, important in mate selection. Female facial beauty is also numerically related to the volumetric curves and proportioned shapes of several locations on the face. Male handsomeness, (to be presented in a future publication), is related to the positional angularity of the face, and its volumetric proportions.
The human face can be thought of itself as an “oil painting,” a true work of art. Like a beautiful portrait, a face is complimented by the skin (canvas), hair (frame), and teeth (matte). In my opinion, a beautiful face combines facial features that are: (1) harmonious; (2) shapely; (3) balanced; (4) elevated; (5) symmetrical; (6) highlight- ed; and (7) in volumetric proportion and relationship.
Unlike poets and artists of the past and present, my goal is to provide a mathematical definition of a beautiful face, a very important step in understanding facial beauty. Until now, a numerical classification has not been successful in assessing facial beauty. Defining a face as beau- tiful in an artistic context is quite simple; the difficulty lies in being able to provide a precise, objective, and mathematical definition with- out being surpassed by a subjective interpretation.
Whatever its reason, the quest for beauty is here to stay. A beautiful face will never be denied or ignored. Facial beauty offers its own rewards to be shared, enjoyed, studied, and remembered.