-
Essay / The Golden Spiral Revealed: The Beauty of the Fibonacci Sequence
Do the geometric patterns of a flower, a snowflake and a shell occur by chance? What about the possibility of producing productive pairs of rabbits? Why is there a specific number of seeds in a sunflower that effectively fills space without leaving gaps? And why can't you even find a four or more leaf clover? Does everything happen by chance? This essay on the Fibonacci sequence clearly explores the mathematical wonder and artistic applications of this fascinating numerical model. Say no to plagiarism. Get a tailor-made essay on “Why Violent Video Games Should Not Be Banned”? Get an original essay All of these things above are linked by a common theme of nature. These are said to have patterns, series and a sequence known as Fibonacci, invented by Italian Leonardo Pisano Bigollo in 1202. We don't just see the Fibonacci sequence where the series is obtained by adding 0 and 1, followed by the result. and the previous issue but its sequence has subtleties and intricacies. The Fibonacci sequence is so closely linked to the golden ratio and has a huge impact on many aspects of nature, on human and animal body proportions, on architecture, paintings and in many fields as well. This seems Fibonacci magic. I realized that the ubiquitous interconnectivity between living beings and the universe is extremely amazing and fascinating. All the examples mentioned above express the Fibonacci sequence. The spiral patterns of the shell, the row of seeds of a sunflower or the total number of its petals, the growing points where certain branches form or split, even our DNA molecules and many other phenomenal patterns all reflect the Fibonacci sequence and this also has a connection with the Euler formula developed by Leonard Euler, present in the formulas X and Y that its resemblance is not a simple coincidence. We don't need to go too far for evidence, just by looking in the mirror we will notice that most parts of our body follow the numbers in the Fibonacci sequence. However, our human body presents a symmetrical shape in terms of the golden ratio. This was clearly demonstrated in Leonardo da Vinci's Vitruvian Man. I was fascinated by how these things followed a pattern and related to The Divine Proportion which in Luca Pacioli's book highlighted his application of the golden ratio in architecture and art, which is evident for some of Da Vinci's works. One of his paintings is the Last Supper but considered the best illustration of his use of divine proportions where there is an alignment between the architectural designs and even the position of the disciples is considered to be proportional or also presents the evidence of the golden rectangle. The famous Mona Lisa is said to have the golden ratio and the golden spiral. However, through careful analysis, not all of Da Vinci's paintings show evidence of the golden ratio. “Misconceptions About the Golden Ratio” by Dr. Markowsky provides further analysis and accurate information on this misconception of the Golden Ratio. He then stated that "measurements of real objects can only be approximations." Keep in mind: this is just a sample. Get a personalized article from our expert writers now. Get a Custom Essay To summarize, some people say, this Fibonacci sequence can be found anywhere on Earth and is also a proof that there is a supernatural power or creator where these creations are considered a phenomenon. God created.