Golden Ratio

What's the Golden ratio?

The Golden ratio is an irrational number drived from the Fibonacci numbers. Its a speical number that describes a perfect symmetrical relashionship btween two proportions or quantities. The Greek letter phi or (φ & ϕ) denotes the golden ratio in mathmatics. This is caluclated by dividing two fibonacci numbers one after another. For example here are a few numbers of the Fibonacci numbers, 2, 3, 5, 8, 13, we can divide 2/3 = 1.5, then we move to 3/5 = 1.666, then 5/8 = 1.6, 8/13 = 1.625, and so on. You will notice a patter of the number becomeing more and more approximate as the pairs of numbers get bigger.

The famous painting, The Girl with Peral Earrings, by: Johannes Vermeer
The Gilr With Preal Earrings, By: Johannes Vermeer
A picture of a nautilus seashell cross section the inside pattern.
Cross seconton of a nautilus shell, By: The Marmot
Picture of a zoomed close up of a yellow flower.
Yellow Flower, by: NWimagesbySabrinaE

The Golden ratio is found in nature, architecture, and art. You can see many famous paintings like "The Girl with Pearl Earring", with the Golden ratio mapped on it. The sun flower also follows a similar ratio, where its outer seed ring is always a fibonacci number. For me, I think it became very clear to me when I saw the cross section of a nautilus shell, it's almost an exact replica of the Golden Ratio pattern when it's mapped over it. These are only a few examples I wanted to mention but you can always find the Golden Ration in many more places.

Here is a TED Talk Video with more info: