# Real life applications for the Fibonacci Sequence

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.

• Try thinking about a snail shell... – VortexYT Mar 6 '17 at 16:19
• @simplest_mathematics: what ?? – Yves Daoust Mar 6 '17 at 16:34
• AFAIK, many shelled animal's shells follow a fibbonachi sequence.Search online: – VortexYT Mar 6 '17 at 16:37
• Look at this, entitled "15 Uncanny Examples of the Golden Ratio in Nature" – lioness99a Mar 6 '17 at 16:38
• And of course you first tried the obvious and the links therein? – Did Mar 6 '17 at 16:38

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.

• See teamnotus.com and download "Final Report Senior Design I". It's about a turbine called Liam F1 Urban Wind Turbine. – cgiovanardi Mar 7 '17 at 2:00
• @cgiovanardi: I wonder if the choice of the golden section has any functional justification, other than propagating the folklore. – Yves Daoust Mar 7 '17 at 7:46
• @cgiovanardi: where the hell do you see a connection to Fibonacci in these spirals ? – Yves Daoust Mar 7 '17 at 15:13

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.

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