Sunday, April 26, 2009

GOLDEN RATIO!!


Watching Criminal Minds Season 4: The Masterpiece, and interesting came up. The Golden Ratio. In the movie the person claimed that he was a serial killer and a genius found out he killed based on the shape of the golden ratio. I'm sure most are blurred by this thing called the golden ratio. 


In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. The golden ratio is an irrational mathematical constant, approximately 1.6180339887.

At least since the Renaissance, many artists and architects have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aestheticallypleasing. Mathematicians have studied the golden ratio because of its unique and interesting properties.

The golden ratio is often denoted by the Greek letter phi (Φ or φ). The figure of a golden section illustrates the geometric relationship that defines this constant. Expressed algebraically: