I was so fascinated by the pictorial representation of mathematical sequences and patterns embedded in plants, flowers, trees and even in the spiral shapes of our galaxies that I felt compelled to reblog ‘plantsandbeyond’s’ post. It is my hope that you enjoy it as much as I do.
The Fibonacci sequence appears in the smallest, to the largest objects in nature. It is a way for information to flow in a very efficient manner.
The actual Fibonacci sequence is this series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34. Simply put, the next number in the sequence is formed by adding up the previous 2 numbers. (0 + 1 = 1, 1 + 1 = 2, 2 + 1 = 3, and so on.)
The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci. Though Fibonacci first introduced the sequence to the western world in 1202, it had been noted by Indian mathematicians as early as the sixth century.
The Fibonacci defines how the density of branches increases up a tree trunk, the arrangement of leaves on a stem, and how a pine cone’s scales are arranged. Yet you will…
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The Peter and Gertrud Klopp Family 
Thanks for the interesting info. And for the beautiful pictures. 🙂
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Peter, nice!
Here what I found on scinexx, a german scientific journal, yesterday:
http://www.scinexx.de/wissen-aktuell-22262-2018-01-03.html
It’s about the Langevin-formula, which describes the flight scenario of a cloud of flies…
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Many thanks for passing on the link, Gerhard! A very interesting article indeed! I wonder whether similar observations can be made with swarming birds, the flocks of which often number into the thousands, but appear to fly as if there were one single entity.
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Fascinating, isn’t it? Makes one think that nothing is coincidental … 😉
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So true ….
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Wow! Fascinating! And Beautiful!
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That’s really very interesting, dear Peter. I only knew that nature was made in the golden ratio. Kind regards Mitza
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Thank you Peter, I have always been fascinated by the geometry and architecture of plants. All our technology is build upon that, and I often wonder how much the people know about this.
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Actually very few people do. The connection between structures in nature and geometry should be taught in school. Thanks for your insightful comment, Cornelia!
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Absolutely agree with you Peter, that this should be taught in school, because it is much mind opening to greater places of thinking.
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My mother was fascinated by Fibonacci and took many opportunities to bring it to our attention, growing up.
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