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The Fibonacci Sequence in Nature



fibronacci in nature

The fibonacci spiral appears not only in the perfect nautilus shell,  (image)



fibronacci in nature

but in events and objects viewed from a far. An energy system in the shape of a fibonacci moves with limited losses. Hurricane Irene. imgur.com



fibronacci universe

The fibonacci as some of the largest structures in the universe. Spiral galaxies are the most common galaxy shape. Galaxies group together in superclusters and superclusters group together in walls. Currently the largest known structures are these walls or filaments of numerous superclusters that are gravitationally bound and separated by large areas of void. The Milky Way's dust obstructs us from seeing the depth of these filaments or sheets, so we do not yet know the exact shape of these walls. www.spacetelescope.org



fibronacci in nature

The fibonacci appears in the smallest, to the largest objects in nature. It is a way for information to flow in a very efficient manner. Here, a microscopic view of the ovary of an Anglerfish. Nikon's It's a Small World Competition. www.dailymail.co.uk



fibonacci in nature

Cancer cell division. This composite confocal micrograph uses time-lapse microscopy to show a cancer cell (HeLa) undergoing cell division (mitosis). The DNA is shown in red, and the cell membrane is shown in cyan. The round cell in the centre has a diameter of 20 microns. Credit Kuan-Chung Su, LRI, www.wellcomeimageawards.org



fibronacci spiral
 

The mathematics of the golden ratio and of the Fibonacci sequence are intimately interconnected. The Fibonacci sequence is a recursive sequence,  generated by adding the two previous numbers in the sequence.: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987...



fibonacci spiral

If you were to draw a line starting in the right bottom corner of a golden rectangle within the first square, and then touch each succeeding multiple square's outside corners, you would create a fibonacci spiral.



fibonacci in nature

Fibonacci as starting point of life. Image: www.holistichouseplans.com



fibronacci in nature

Romanesque brocolli is a striking example of the fibonacci. www.flickr.com



fibonacci in nature

Spiral aloe. Numerous cactus display the fobonacci spiral. www.flickr.com



fibonacci in nature





fibonacci in nature

Sunflower. www.thestrong.org



fibonacci in nature

Marlborough Rock Daisy by Sid Mosdell. www.flickr.com



fibonacci in nature

All pinecones display a fibonacci sequence.


fibonacci in nature

American giant millipede. The fibonacci is thought to be the design of least resistence. Image by Alan Cressler. www.flickr.com


fibonacci in nature

A monarch caterpillar about to form a chrysalis. natureremains.blogspot.com



fibonacci in nature

Fibonacci and armor = very safe. www.fieldherpforum.com



fibonacci in nature

Fibonacci in spores. A fiddlehead or koru. Photo by Sid Mosdell. www.flickr.com


fibonacci in nature

Snails and fingerprints. Images: artcatalyst.blogspot.comwww.123rf.com



fibonacci in nature

Fibonacci in the wave. artcatalyst.blogspot.com



fibonacci in nature

Water falls into the shapes of a fibonacci during numerous events. Another example would be a vortex. fibonacci-seri.es



fibronacci in nature

One blogger has applied the fibonacci sequence to population density and land mass. In Africa the majority of highly populated cities fall on or close to where the spiral predicts. earelephant.blogspot.com



fibonacci in nature

Shell Fossil via: www.123rf.com



The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci (named after, he did not discover). Fibonacci's sequence was first introduced to the western world in 1202 by Fibonacci, the sequence had been noted by Indian mathematicians as early as the sixth century.*
 

The fibonacci also 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 not see the fibonacci everywhere, as nature has many different methods and shades of survival.






Fascinating! A must watch!
Mathemagician Arthur Benjamin explores hidden properties of that weird and wonderful set of numbers, the Fibonacci series....



Check out the Custom Fibonacci Spiral Generator - chromatism.net

 

 



 
 

 

 

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fibonacci
Posts: 12
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me
Reply #12 on : Mon March 17, 2014, 11:30:58
i am the boss daddy
bob
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sup
Reply #11 on : Wed March 12, 2014, 12:14:51
hi guys
mason adams
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pictures
Reply #10 on : Wed March 12, 2014, 12:13:00
great website. I reccomend it. :D
James Poop
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My pet chicken
Reply #9 on : Mon March 10, 2014, 22:53:43
i really lllikee mpy pet chicken i luvv
hey
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Re: The Fibonacci Sequence in Nature
Reply #8 on : Wed December 18, 2013, 09:03:19
yes they are
hatty
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fibonacci
Reply #7 on : Sun November 03, 2013, 05:57:17
i like fibonacci
girl
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help
Reply #6 on : Mon August 26, 2013, 23:07:06
are these things fibonacci sequence or fbonacci number or are they the same?
Lauren Domenia
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Awesome!!!
Reply #5 on : Wed May 08, 2013, 16:07:09
another example of the glory and wonder of our God! That is simply amazing... I don't know what else to say!
C. Duane
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writings by Jay Hambidge
Reply #4 on : Sat February 23, 2013, 07:32:10
http://books.google.com/books?ei=h7koUdOFMYyq0AHG14CYBA&id=Qq4gAAAAMAAJ&dq=jay+hambidge&jtp=12

http://books.google.com/books?ei=h7koUdOFMYyq0AHG14CYBA&id=Qq4gAAAAMAAJ&dq=jay+hambidge&jtp=17
(note reference to eleventh proposition of the second book of Euclid)

Jay Hambidge in the 1920s described "Dynamic Symmetry" and the "Whirling Square" being found in the Greek vase, the Parthenon, and in nature (like the shell and the sunflower head). The Dover reprint cover has an unfortunate, misleading illustration of static symmetry.
???
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fibbinocci
Reply #3 on : Wed January 23, 2013, 10:24:36
thank you i need this for a science fair your pictures are awesome
Robin Mehdee
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Re: The Fibonacci Sequence in Nature
Reply #2 on : Sun December 16, 2012, 05:19:33
Good job
kristin ramsden
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wonder
Reply #1 on : Thu December 13, 2012, 23:53:14
marvel-ous!
 
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