They had discovered the mathematical formula that represented perfect beauty. According to this formula, for example, the ideal face was two-thirds as wide as it was high. Modern research has proven that the basic concept of the Greeks' formula itself, was correct: beauty does seem relate to proportion and balance. When related to beauty, these qualities are called symmetry. A perfectly symmetrical face would have a left side that is identical to its right side. Research has shown that the more symmetrical a face is ,the more beautiful it is believe to be.