I was just wondering what were the main/important uses of the Fibonacci sequence as well as any other generalized Fibonacci sequences in real life applications.
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$\begingroup$In computer science, there is a data structure called a Fibonacci Heap that works by storing items in a collection of heaps with degrees that are ascending Fibonacci numbers. Fibonacci heaps have significantly better performance in certain tasks than other similar data structures.
$\endgroup$ $\begingroup$As far as I know, the Fibonacci sequence have no particular "uses" in real life and they are more relevant in the frame of certain mathematical models.
A particular application I think of is when you know that a function has a single maximum in a given interval. Then it is proven that the optimal sequence of function evaluations to narrow down the maximum is obtained with intervals having a length proportional to the terms of Fibonacci.
But I wouldn't call that real life.
$\endgroup$ 3 $\begingroup$The number of ways you can climb stairs from 0 to stair N is a fibonacci sequence provided you can climb 1 or 2 stairs at one time. Not real life really but if you want to know :D
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