Difference between Golden Ratio and Fibonnaci Sequence?

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They seem the same even the real life examples and I am confused

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Anonymous 0 Comments

Golden ratio is a specific number, about 1.618 , it has various interesting mathematical properties which led ancient Greek artists to be obsessed with it and thus started appearing everywhere in art and architecture (earning it the moniker Golden). ( Later edit: reading up a bit, it looks like the fascination over the golden ratio is a Renaissance thing and it spilled over in their admiration of Antiquity, seeing instances of it everywhere. Careful measurements show that classical Greeks didn’t actually bother with it, they were more into rational numbers).

The Fibonacci Sequence is a, well, sequence: an infinite set of numbers, starting with two ones and appending the sum of the last two values: 1, 1, 2, 3, 5, etc. So definitely different concepts.

What links them is the fact that the ratio of two consecutive terms in the sequence approaches the golden ratio.

Yes, it’s true that the golden ratio appears in lots of places in nature, especially related to growth, but not necessarily because of the way the Fibonacci series is presented (or not directly, it’s fairly simple math and everything is connected somehow). My favorite explanation is how it’s “the most irrational number”: [https://www.youtube.com/watch?v=sj8Sg8qnjOg](https://www.youtube.com/watch?v=sj8Sg8qnjOg) .

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