Pinecone by janeandcharlie

Pinecone

“Pick up a pinecone and count the spiral rows of scales. You may find eight spirals winding up to the left and 13 spirals winding up to the right, or 13 left and 21 right spirals, or other pairs of numbers. The striking fact is that these pairs of numbers are adjacent numbers in the famous Fibonacci series: 1, 1, 2, 3, 5, 8, 13, 21... Here, each term is the sum of the previous two terms. The phenomenon is well known and called phyllotaxis. Many are the efforts of biologists to understand why pinecones, sunflowers, and many other plants exhibit this remarkable pattern. Organisms do the strangest things, but all these odd things need not reflect selection or historical accident. Some of the best efforts to understand phyllotaxis appeal to a form of self-organization. Paul Green, at Stanford, has argued persuasively that the Fibonacci series is just what one would expects as the simplest self-repeating pattern that can be generated by the particular growth processes in the growing tips of the tissues that form sunflowers, pinecones, and so forth. Like a snowflake and its sixfold symmetry, the pinecone and its phyllotaxis may be part of order for free”

~Stuart Kauffman, "At Home in the Universe: The Search for the Laws of Self-Organization and Complexity"~
Wonderful details
March 4th, 2019  
Beautiful details of God's creation.
March 4th, 2019  
Gorgeous and so simple! Thanks for the info - fascinating!
March 4th, 2019  
Great detail. One can see the sap on the scales!
March 4th, 2019  
A very nice image and fascinating info thanking you fav
March 4th, 2019  
Great shot
March 4th, 2019  
How interesting - and nicely captured.
March 5th, 2019  
It looks so big. Perfectly captured and enjoyed reading about the pinecone.
March 5th, 2019  
How interesting is that! Beautiful pinecone shot!
March 5th, 2019  
How interesting! I always thought pine cones were fractals. Fascinating to see a parallel drawn with Fibonacci Sequences. Beautiful shot by the way!
March 5th, 2019  
Great capture - never thought to count the scales :)
March 5th, 2019  
@joansmor @bigdad @365karly1 @ranger1 @Dawn @bkbinthecity @linnypinny @lesip @harbie @casablanca @gilbertwood
Thank you all for your comments about my photo of the pinecone. I hope I remember to observe the math pattern in them next time I come across one.
March 6th, 2019  
Missed this one when you posted it. I appreciate that a pine cone image gets tagged with “math”! “Fibonacci” is in many surprising places!
March 17th, 2021  
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