Fibonacci Sequence Analysis

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Math SL Internal Assessment The Fibonacci Sequence Patterns have an intrinsic relationship with nature, art and many other human-made or naturally made things. Whilst living in Brazil, I was constantly surrounded by nature and such patterns were inevitably always around me. That is when I started to become aware of how involved mathematics is in the field of nature. It amazed me how within the chaos and beauty of forests, there was still such strict and repetitive order. This makes me wonder whether it is simply accidental, that a mathematical order and sequence is involved in nature or not. Many of the things we consider beautiful or appealing in today’s society are purely based on the patterns that they demonstrate. In nature, such natural occurring patterns are extremely common, like seen in seeds, leaf formation, pinecone, shells, petals and many others. One of the most commonly accepted pattern, that is seen in such described biological substances can be mathematically understood by the Fibonacci Sequence/Numbers, one of the most well-known sequences globally. The sequence is named after Leonardo Bonacci, also known as Fibonacci, an Italian mathematician and talented scholar, who helped Hindu-Arabic numerals, become more common in the Western culture of Europe. Although it was first described by mathematicians in India, many decades before Fibonacci. Image 1. Fibonacci sequence in some biological matters: The Fibonacci sequence is a

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