Large flowers as yellow as the sun, numerous seeds arranged in piles in the center. From a distance, it seems random, but when you get closer, you will see a strange eating rhythm. If one begins to count with patience, one will see that the seeds are not arranged by some magic, but arranged according to a very specific rule. And that rule is one of the most famous lines of mathematics—Fibonaccisequence.
The rules of the Fibonacci sequence are very simple. First two 1's, then each number is the sum of the previous two numbers. That means 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144… and so on. Surprisingly, these numbers can be seen in many places in nature. Pineapple eyes, pinecone scales, and even snail shells have this trend everywhere.
This is most clearly understood in the sunflower. Because the face of it is clockwiseAs there are spiral lines on that side, there are also on the other side. If you count the spirals in both directions you will usually find even numbers in the Fibonacci sequence. For example—34 and 55, or 55 and 89. And in the face of a very large sunflower, that number stands at 89 and 144.
But the problem is—nature isn't always perfect. As beautifully as the lines can be written on the pages of the book, in reality the inside of the flower does not match that clearly. Scientists have been doing so for a long timeHave you ever wondered how sunflower seeds are arranged like this? To be honest, even today they haven't figured out the full mechanical explanation.
Another problem with that is that not all sunflowers are created equal. Many flowers have been found to not correspond to Fibonacci numbers. But this information has not been researched much before. Scientists didn't really know how diverse sunflowers are.
This is why Manchester Science andThe Industry Museum takes a novel approach. They believe that only a small team of scientists cannot get all the information. So they used common people. Anyone can plant a sunflower at home, take a picture of it, count the spiral lines and send it. This is called crowdsourcing, i.e. gathering information with the help of people. Thousands of people participated in this work for four years. Finally collected 657 flower pictures and informationScientists analyze. Then a new surprise came out.
The results showed that about one in five sunflowers did not follow a direct Fibonacci sequence. Complex spiral patterns were found in many flowers, which had not been reported before. Some flowers show near-Fibonacci patterns, i.e. very close numbers. In some flowers, multiple mathematical streams are fighting face to face, as if the competition is going on inside the flower!
It just goes to show that even in nature's most "perfect" designs, there's beautiful, chaotic individuality.
It makes me wonder: what other "rules" are just waiting to be broken?
What's a "rule" you've happily broken lately that led to something beautiful or unexpected? Share below 👇
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