Golden Ratio

  • mathematics
    an irrational number approximately equal to 1.6180 that has unique mathematical properties and appears in art, nature and, architecture.
All terms


The golden ratio is an irrational number denoted as (phi). The value of the golden ratio is approximately and can be defined using the geometric construction below[1].

Golden Rectangle

From this construction, the value of the number can be defined as the fraction below.

Related Terms

Golden Rectangle

The golden rectangle is a rectangle whose width divided by height is equal to the golden ratio (approximately 1.618). It is believed to have aesthetically pleasing properties and has been used in art, architecture, and design throughout history.


  1. Construct Golden Rectangle Example