Represented by the greek letter phi(φ), the golden ration is the irrational value i.e.,
Golden Ratio:
Euclid gives us the definition of the Golden Ratio.
He instructs us to take a line segment and divide it into two smaller segments such that the ratio of the whole line segment (a+b) to segment a is the same as the ratio of segment a to segment b.
or equivalently as a proportion:
The Golden Rectangle:
The Golden Ratio is most commonly represented as the Golden Rectangle, a rectangle with side-length ratio of 1.618:1.
Golden Rectangle also have the property that if you cut off a square, you will be let with another Golden Rectangle.
Golden Rectangles
Solving the Golden Proportion:
To find where the value 1.618034..... comes from we must solve the proportion.
Visually, we can see how the Fibonacci sequence generates rectangles closer and closer to the Golden Rectangle.
