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The Golden Ratio

The Golden Ratio (also called the golden mean, golden section, or divine proportion) is one of the most famous irrational numbers. It is approximately equal to 1.618. The golden ratio appears in nature, art, architecture, and more.

It is found by dividing a line into two parts so that the long part divided by the short part is equal to the whole length divided by the long part.

The visual representation of the golden ratio is often illustrated through the golden spiral:

The Fibonacci Sequence

The Fibonacci Sequence is also related to the golden ratio. The Fibonacci Sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. The sequence goes as follows:


As you progress through the Fibonacci sequence, the ratio of consecutive Fibonacci numbers (e.g., 5/3, 8/5, 13/8) approaches the golden ratio.

Presence in Nature

The arrangement of leaves around a stem, the pattern of seeds in a sunflower, and the petals of flowers often follow the golden ratio.

The proportions of various body parts in animals often approximate the golden ratio.

The golden ratio can also be found in the human body. The ratio of the height to the distance from the navel to the feet, the ratio of the length of the face to its width, and even the structure of DNA molecules all show proportions that approximate the golden mean.

There is also an interesting video that you can watch about the golden ratio:


Interesting Engineering. (2020, July 10). The golden Ratio: myth or math? [Video]. YouTube.

Pietroluongo, L. (2022b, September 15). The golden ratio: the ultimate guide to understanding and using it. Elegant Themes Blog.

Be Smart. (2021, March 10). The golden ratio: Is it myth or math? [Video]. YouTube.


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