Exploring The Beauty of Fibonacci Sequence: Patterns and Applications in Nature and Mathematics

Abstract

There are instances of the Fibonacci arrangement and the "Brilliant Proportion" in both the normal world and in craftsmanship. Many items in nature appear to follow the Fibonacci arrangement. Fanning in trees, phyllotaxis (the game plan of leaves on a stem), pineapple organic product sprouts, artichoke blooming, an uncurling greenery, and the course of action of a pine cone's bracts are instances of this peculiarity in the regular world. Fibonacci numbers are currently assuming a pivotal part in the field of coding hypothesis. Many kinds of safety coding utilize Fibonacci numbers. The Fibonacci sequence, named after the Italian mathematician Leonardo of Pisa, is a fascinating mathematical oddity with fascinating features and several real-world applications. The irrational golden ratio is often used in the arts, architecture, and design due to its innate beauty. Besides its obvious use in computing, the sequence has been put to good use in finance, biology, and music. The widespread use of this ageless mathematical concept in fields as diverse as computer technology, art, and the natural sciences is a testament to its importance and adaptability.