It’s because the sequence is usually found in optimized structures and systems. Nature tends to reach it through trial and error, but as long as the more optimal arrangements keep reproducing or surviving more than the least optimal, they will gradually select systems that are closer and closer to one represented by the Fibonacci sequence. As to why the sequence is found in optimized systems, it’s because the sequence is an offset of the golden ratio, and that is an important relationship ratio in a lot of different natural systems.
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