The Golden Ratio is Real!
July 07, 2021

Have you ever thought about the patterns observed in nature? If you carefully notice, the number of petals in any flower, the number of fingers we have, or even the arrangement of the sunflower seeds, all follow a certain pattern.

The proportions we see therein can be described using a unique ratio known as the "golden ratio." The famous Fibonacci sequence approximates the golden ratio. Let’s find out more about it!

## What is the Fibonacci sequence?

### 1. The history:

The Italian mathematician Leonardo of Pisa, later known as Fibonacci, gives his name to the Fibonacci numbers. In his book Liber Abaci, Fibonacci introduced the sequence to Western European mathematics. However, ancient Sanskrit texts that used the Hindu-Arabic numeral system, prove that it was known much before that.

### 2. The mathematics:

In mathematics, the Fibonacci numbers commonly denoted Fn, form a never-ending sequence, called the Fibonacci sequence. In the sequence, each number is simply the sum of the two preceding numbers, starting from 0 and 1.

The Fibonacci sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

Adding the two preceding numbers (1+1) gives us 2, (1+2) gives us 3, (2+3) gives us 5, and so on. The ratio of the adjacent numbers consistently comes out to be ~1.618, represented by the Greek letter phi, Φ.

### 3. The golden ratio in nature:

The golden ratio is also sometimes known as the divine proportion because it is commonly found in so many things in nature. Common examples are the branching of trees, arrangement of leaves on a stem, the number of petals on a flower, the fruitlets of a pineapple, the seeds of sunflowers, the human ear and the family tree of honeybees.