The Golden Ratio is a special number which describes the ratio of the width and length of a rectangle. This rectangle, shown below, is considered to the most pleasing to the eye in its dimensions. It turns up in nature and also leads to a formula to generate the famous Fibonacci sequence. The Golden Ratio is commonly represented by the Greek letter Phi (Φ). It has a primary value, uppercase Phi (Φ), which is one greater than the secondary value, lowercase phi (φ). Both have the same decimal portion. Below are the two values shown both by their exact formula, and approximated. The Golden Ratio is irrational and therefore never ends and has no repeating decimal portion. Phi (Φ) = = ... phi (φ) = = ... Phi has been found to have some unusual properties such as Phi2 = Phi + 1 Here is the rectangle with the approximate ratio given by Phi: