Golden Ratio Now if you lay the square over the rectangle the two shapes will give you the golden ratio. With respect to logarithmic spirals the golden spiral has the distinguishing property that for four collinear spiral points A B C D belonging to arguments th th p th 2p th 3p the point C is the projective harmonic conjugate of B with respect to A D ie. The cross ratio ADBC has the singular value 1.
The figure on the right illustrates the geometric relationship.
The cross ratio ADBC has the singular value 1. Apple Twitter and Pepsi all use The Golden Ratio in the design of their brands. During the European Renaissance renowned artists and architects used an equation known as the golden ratio to map out their masterpieces. In mathematics when a line is divided into two parts and the longer part a divided by the smaller part b is equal to the sum of a b divided by a which both equal 1618.