Yes, it occurs in many places. Some examples are branching in trees and pine cones.
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It occurs in nature
The Fibonacci sequence mathematically proves that nature isn't random it follows a pattern. However there are exceptions like most things.
the Fibonacci sequence is found in... Nature Art Leaf formations pine cones pineapples flowers paintings veggies and fruit building design and that is just a few examples
because, for instance, the number of petals on most types of flowers is usually a number that can be found in the Fibonacci sequence.
The 20th Fibonacci number in the sequence is 6,765.