Friday, June 04, 2004

Beauty - a Mathematical Equation?

Following taken from Knowledge NEWS:

Plato, under the influence of Pythagoras, believed that beauty, architectural and otherwise, was expressed by a mathematical formula called the Golden Section. The formula demanded that the ratio of the shorter part of a given unit to the longer part equal the ratio of the longer part to the whole. And this perfect ratio boils down to 1:1.61803 (about the length of your hand relative to the length of your forearm).

Phidias, Greece's most acclaimed sculptor, applied the Golden Section to his statues of the gods, with divine results. In 1509, Leonardo da Vinci's close chum, the mathematician Luca Pacioli, wrote a three-volume book called De Divina Proportione, which argued that the equation was the cornerstone of all aesthetic endeavor. Some art scholars even believe that Leonardo's Mona Lisa conforms to a version of the formula called the Golden Rectangle.

The 1:1.61803 ratio refuses to go away. In the 1860s, German psychologist Gustav Theodor Fechner put ten rectangles varying in their length-to-width ratios in front of people and asked them to select the most pleasing one. Guess which rectangles ruled? In 1994, a London-based orthodontist updated the experiment, measuring the faces of fashion models. He determined that they satisfied the Greeks' perfect ratio far more closely than the average face.

The latest, most user-friendly incarnation of the theory belongs to retired plastic surgeon Stephen Marquardt. He's devised a mask for applying the Greeks' Golden Section to the face. The closer your features conform to the lines of the mask, the prettier your face, supposedly. As you might imagine, supermodels like Cindy Crawford and Linda Evangelista fit gorgeously. Other folks don't fare so well.

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