This is Dr. Stephen Marquadt. http://img404.imageshack.us/img404/1373/stephenmarquardt.jpg [Broken] When he was a young child, his mother was horribly disfigured in a car crash. So he eventually took the route of becoming a reconstructive plastic surgeon. As a plastic surgeon, he had to work out a method of making his patients beautiful again. This led to his claim to fame, the Golden Ratio Mask, as can be seen in my profile. He constructed it based on the Golden Ratio. Throughout the ages, the golden ratio has fascinated both the ancient Greeks and Renaissance men. Marquadt said he was inspired by Da Vinci, who spent a great deal of time analyzing the human body and its beauty. The golden ratio also appears in golden spirals and in a regular pentagram. [PLAIN]http://upload.wikimedia.org/wikipedia/commons/thumb/4/44/Golden_ratio_line.svg/200px-Golden_ratio_line.svg.png[PLAIN]http://upload.wikimedia.org/wikipedia/commons/thumb/3/30/Pentagram-phi.svg/200px-Pentagram-phi.svg.png[PLAIN]http://upload.wikimedia.org/wikipedia/commons/thumb/9/93/Fibonacci_spiral_34.svg/200px-Fibonacci_spiral_34.svg.png [Broken] A recurring idea is that beauty can be seen in objects where the golden ratio is expressed. Examples include the Parthenon, sculptures and even seashells. (From Disney's Donald in Mathmagic Land, a pretty cool cartoon) http://img843.imageshack.us/img843/513/lolles.png [Broken] Based on this idea, the Golden Ratio Mask was constructed. According to Marquadt, any face that fits the mask will be considered beautiful. Here's a video of Marquadt on John Cleese's The Human Face. (skip to 2:07) https://www.youtube.com/watch?v=E1kqMk3jFD8 continued (ends at 2:32) https://www.youtube.com/watch?v=5pRJtjlHj_M So the basic principle is that all beautiful faces have something in common, following a certain geometrical template. Whereas ugly faces are all distortions of the beautiful template. http://imageshack.us/a/img404/9075/grfemmask.gif [Broken]http://imageshack.us/a/img839/8360/masksuperimposed1.jpg [Broken] Some claim the mask is best suited for Caucasians. But it still works out quite well. Lastly, this Youtuber has done reconstructive Photoshop surgery on some girl's photo. I think the end result speaks for itself. https://www.youtube.com/watch?v=N4fUjzqCC-8&hl=en-GB So what do you guys think? Can beauty be reduced to a mathematical abstraction and can this be explained? Or does beauty still lie within the purview of our conundrums of philosophy?