Why are the Fibonacci sequence and golden ratio so common throughout nature?

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Does it have to do with something that involves cell/DNA formation, or other topics in biology/chemistry? Or is this based on coincidence?

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Anonymous 0 Comments

Golden ratio is (√5+1)/2.

This number is special because it’s the most irrational number that exists.

A rational number could be expressed as p/q an irrational number could also be expressed as p/q to some degree of accuracy (take π and 22/7). Where p and q are relatively small.

However (√5+1)/2 cannot be easily expressed as small p/q.

I cannot easily type this but (√5+1)/2 is expressed at a continued fraction of 1+1/(1+1/(1+1/(1+1/…….)))). That corresponds to the smallest real number where the variability in the next term is extremely high.

TL;DR Watch this brilliant [Numberphile video](https://youtu.be/sj8Sg8qnjOg)

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