In the header image for this article, it appears that the Fibonacci spiral is superimposed on the spiral galaxy in the incorrect orientation, and if the spiral were flipped around the horizontal or vertical axis, it would indeed match the galaxy's arms.
I don't think so. There is this section in the article.
"The mathematics of Fibonacci
But the big question isn’t “why the Fibonacci sequence is found in nature,” but rather, “what is it that determines the Fibonacci sequence” in the first place?
[...]
It turns out there’s nothing special about the starting point of the Fibonacci sequence, either. You can start with any two non-negative numbers that you like where at least one of them is non-zero: they need not be “0” and “1,” they need not be whole numbers, they need not be close together. All you need to do is follow the same formula, where you take the first two numbers and add them together to make the next (third) number, and then add that number with the previous to make the next subsequent number, and so on. No matter which numbers you start with, the ratio of any two successive numbers will quickly approach φ, the golden ratio.
It’s enough to make one wonder: is there a way to simply generate any-and-all of the Fibonacci numbers without having to sum up each of the previous terms to get there? It turns out there is, and it’s an incredible mathematical curiosity. The key, believe it or not, is the 11th number in the Fibonacci sequence: 89."
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[ 2.6 ms ] story [ 17.1 ms ] thread"The mathematics of Fibonacci
But the big question isn’t “why the Fibonacci sequence is found in nature,” but rather, “what is it that determines the Fibonacci sequence” in the first place?
[...]
It turns out there’s nothing special about the starting point of the Fibonacci sequence, either. You can start with any two non-negative numbers that you like where at least one of them is non-zero: they need not be “0” and “1,” they need not be whole numbers, they need not be close together. All you need to do is follow the same formula, where you take the first two numbers and add them together to make the next (third) number, and then add that number with the previous to make the next subsequent number, and so on. No matter which numbers you start with, the ratio of any two successive numbers will quickly approach φ, the golden ratio.
It’s enough to make one wonder: is there a way to simply generate any-and-all of the Fibonacci numbers without having to sum up each of the previous terms to get there? It turns out there is, and it’s an incredible mathematical curiosity. The key, believe it or not, is the 11th number in the Fibonacci sequence: 89."