Golden Ratio
The idea behind it.
Golden ratio. It is an irrational number that is a solution to the. The golden ratio is a mathematical ratio. It is denoted phi or sometimes tau. Golden ratio also known as the golden section golden mean or divine proportion in mathematics the irrational number 1 square root of 5 2 often denoted by the greek letter ϕ or τ which is approximately equal to 1 618 it is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the.
It appears many times in geometry art architecture and other areas. The figure on the right illustrates the geometric relationship. It is commonly found in nature and when used in a design it fosters organic and natural looking compositions that are aesthetically pleasing to the eye. The golden ratio symbol is the greek letter phi shown at left is a special number approximately equal to 1 618.
The designations phi for the golden ratio conjugate 1 phi and phi for the larger quantity phi are sometimes. Expressed algebraically for quantities a and b with a b 0 where the greek letter phi or represents the golden ratio. The golden ratio also known as the divine proportion golden mean or golden section is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon pentagram decagon and dodecahedron.