## Golden Ratio

In mathematics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant, approximately 1.61803.

At least since the Renaissance, many artists and architects have proportioned their works to approximate the golden ratioâ€”especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratioâ€”believing this proportion to be aesthetically pleasing. The golden ratio is also used in the analysis of financial markets, in strategies such as Fibonacci retracement.