The Fibonacci sequence sounds like something very complicated. Still, in reality, it is merely a set of elements discovered by combining terms to get another. This sequence was developed by a medieval mathematician known as Leonardo da Pisa. Leonardo spent most of his early life traveling with his father until about 1200 .in fact according to the book Coincidences, chaos, and All That Math Jazz, the author says 'Fibonacci gave himself the nickname Pigalle, which can either a much-traveled man or a good – for- nothing' (109). Once he returned to Italy, he devoted his time and effort to a book about the mathematics he learned during his trips with his father. In 1202 Leonardo published his book called Liber Abaci ('The Book of Calculations'). This book brought several new ideas into Europe like the Hindu -Arabic place value system and the use of Arabic numbers. This new notion is the reason why we don't multiply in Roman numerals. The most captivating idea introduced in the Liber Abaci was the Fibonacci sequence. Leonardo described this sequence as a form of a 'real–world 'issue by providing an example of rabbit pairs produced in a year.
The Fibonacci sequence itself has a more in-depth explanation than just the rabbit family tree. Have you ever taken a walk around and observed a spiral on plants and bushes? There are many beautiful flowers like the daisy that have opposing spirals starting from the core. Pine cones also have spirals on them; in one way, there are eight spirals; in the other direction, there are 13. The object that interests me the most is the pineapple because you would never realize a spiral on the outside just by looking at it. In the book Coincidences, chaos, and All That Math Jazz, the author says, 'Now when holding a pineapple and looking at its knobby surface, we will no longer see the bumps. The spiral lines, which were there but unnoticed, now seem obvious' (102). It appears to have three different kinds of spirals, and its hexagon shape makes it appear to be three dimensions. This spiral keeps its way at all scales, meaning it can spiral out forever. This curve seems to spiral inwards and outward at the same time. It's hard to draw but visualize it as either water spiraling down a drain or a rose that hasn't bloomed yet. These spiral looks the same at every scale because they are self-similar.
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These spirals found are also examples of the golden rectangle. The golden rectangle is a geometric interpretation of the Fibonacci sequence created by increasing larger squares of unit dimension. Yes, the Fibonacci sequence can be illustrated by adding squares up. The Fibonacci spiral can also be shown on these boxes, creating a shell-like shape. This shell-like shape resembles the tank on a snail, the horns of a ram, a nautilus shell, and even on a peacock. What makes these spirals so fascinating it's the fixed proportion that determines their shape. What's beautiful is that this proportion is the same as the portions developed by consecutive numbers in the Fibonacci sequence. The farther you go in the series, the dimensions of adjacent terms get closer to the fixed limiting value of 1.618, which is also known as the golden ratio.
My project was to provide photographic examples of this beautiful sequence around campus. I found a large selection of plants, flowers, and even snails on campus, correctly in my residence hall, to capture these beautiful images. I showed examples of the Fibonacci spiral with pine cones, roses, snails, and flowers. I also show examples of sequence in succulents, pine cones, and roses. My favorite model, the leaf placement, is shown with two examples of the branch of a flower. Nature is the most excellent example of the beauty in the Fibonacci sequence, golden rectangle, and golden ratio.
I believe the Fibonacci sequence ties into beauty because it's incredible how God created all these things in nature that include this natural list of numbers. I also find beauty in how the Fibonacci sequence leads to the golden rectangle, golden rectangle, and golden ratio. This passage In the book, Coincidences, chaos, and All That Math Jazz, the author says, 'Nature led us to a natural list of numbers, the Fibonacci numbers, and they, in turn, led us to the golden ratio' (119). This passage makes me think so hard about how there has to be no coincidence that objects in nature are related to this mathematical sequence of numbers. It has to be the work of God, I believe it not only is the work of God, but it also shows what a mighty God we serve God. Once Professor Schulteis brought in the pine cones, leaf placement, shell, pineapple, and so much more, I fell in love with the Fibonacci spiral. It made me pay more attention to the beautiful nature and the crazy patterns you can find if you look at simple things deeply. I know you guys will love this class and start to appreciate God's beautiful creations.
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