![]() In trees, the Fibonacci begins in the growth of the trunk and then spirals outward as the tree gets larger and taller. Trees Photo from Joel & Jasmin Førestbird/UnsplashĪlthough we all usually see trees everywhere in our day to day, how often do we really look at them for patterns. When analyzing these spirals, the number is almost always Fibonacci. At points, their seed heads get so packed that their number can get exceptionally high, sometimes as much as 144 and more. The golden ratio, approximately 1.618, is itself intimately connected to the Fibonacci sequence. When we talk about Fibonacci spirals, they are logarithmic spirals that grow outward by a factor of the golden ratio for every quarter turn they make. First documented in 300 BC by Greek mathematician Euclid, the Fibonacci sequence is a mathematical formula that suggests that each number is equal to the sum of the two. In nature, the Fibonacci sequence manifests itself in numerous ways. A perfect example of this is sunflowers with their spiraling patterns. Humans are hardwired to identify patterns, and when it comes to the Fibonacci numbers, we don’t limit ourselves to seeking and celebrating the sequence in nature. Commonly referred to as nature’s code, the Fibonacci sequence finds itself at the center of most foundational facets of human existence, including popular culture. Most of the time, seeds come from the center and migrate out. Seed Heads Photo from Asgeir Pall Juliusson/UnsplashĪ flower’s head is also where you’ll find the Fibonacci sequence in plants. Of the most visible Fibonacci sequence in plants, lilies, which have three petals, and buttercups, with their five petals, are some of the most easily recognized. This is divided into two lessons, namely: Lesson 1: Patterns and Numbers in Nature and the World Lesson 2: Fibonacci Sequence. ![]() The petals of a flower grow in a manner consistent with the Fibonacci. Flower Petals Photo from Alfiano Sutianto/Unsplash Each cone has its own set of spirals moving outwards in opposing directions. When looking closely at the seed pod of a pinecone, you’ll notice an arranged spiral pattern. Pinecones Photo from Cameron Oxley/Unsplash The more they grow outward, the higher the Fibonacci sequence is visible. When growing off the branch, Fibonacci can be viewed in their stems as well as their veins. The Fibonacci sequence in plants is quite abundant, and leaves are one of the best examples. ![]() Although the Fibonacci sequence (aka Golden Ratio) doesn’t appear in every facet of known structures, it does in many, and this is especially true for plants. The Fibonacci sequence’s ratios and patterns (phi=1.61803…) are evident from micro to macro scales all over our known universe. The Fibonacci sequence was initially developed by Leonardo Fibonacci while he was calculating the expansion of groups of rabbits over a year.
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