Fibonacci Floret by Abysimus

Fractal • Flowers/Plants • posted on Feb 04, 2011

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Description

Fibonacci (also known as Leonardo of Pisa c. 1170-1250) discovered a number series, known funnily enough as the Fibonacci sequence that is found in practically every ecosystem on the planet. Although fractals had not been discovered at that time, the Fibonacci sequence nevertheless describes a fractal function. In the Fibonacci sequence of numbers, each number after the first two is the sum of the previous two numbers. Thus the sequence is: 0,1,1,2,3,5,8,13,21,34,55,89,144,233,etc. The most commonly recognized expression of this sequence in nature is in the tiny florets in the center of many flowers. These beautiful spirals can be seen, for example in daisies, which exhibit a pattern of 21 clockwise spirals and 34 counterclockwise. If you divide these two numbers together, you get the Golden Mean, a ratio ubiquitous in nature, architecture, and art. The Fibonacci sequence is found in spider webs, pineapples, pinecones, artichokes, and tens of thousands of other natural systems up to and including everything ranging from quantum theory to galaxy formation. Personally, I find that very intriguing. It is a safe bet that Fibonacci thought it was pretty cool too. Today’s rendering is intended as a sort of archetype of the algorythm. It was made from a Julia/ Ikenaga quaternion in Ultra Fractal.

Comments (13)

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peedy

9:00AM | Fri, 04 February 2011

Stunning! Gorgeous coloring. Corie

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greyone

12:20PM | Fri, 04 February 2011

Awesome image Stan! This is gorgeous. Your description about the Fibonacci sequence is very helpful for understanding much of the natural world. I know i have long tried looking for proof that spider webs actually follow fractal principles, this helps point me in the right direction. Your image here is awesome.

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eekdog

1:15PM | Fri, 04 February 2011

well done, so beautiful it take my breath away..

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clbsmiley

3:43PM | Fri, 04 February 2011

Excellent!! Reminds me of cauliflower and cabbage. :)

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npauling

5:53PM | Fri, 04 February 2011

I find that sequence very facinating too. How beautiful this looks with its lovely little spiral for its center of each stalk. Excellent depth too.

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dochtersions

4:20AM | Sat, 05 February 2011

Intriguing image, well shown 'how nature works', Stan.

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vxbob

6:17AM | Sat, 05 February 2011

Interesting, I woke up this morning thinking about the Fibonacci sequence occurring in nature and wondering if this is further indication of a design influence or is there some survival benefit involved. Bob

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Glendaw

10:32AM | Sat, 05 February 2011

Fantasic image. Thank-you for the descriptive dialogue. I am a real klutz at numerals and sometimes letters as I have a bit of dyslexia going on. I truly admire your Scientific wisdom. I am sure you were and still are a super Professor. Once again your fractal is beautiful. The colors are stunning. I am always looking forward to your postings. I learn alot from you. Have a good day Stan.

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farmerC

2:25PM | Sat, 05 February 2011

Shining creation.

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mgtcs

1:17PM | Sun, 06 February 2011

Ohhh....what a marvelous design here, your work is always so beautiful, fantastic colors and a masterful composition!

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gateman45

7:58PM | Thu, 17 February 2011

well done!!!

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fraxialmaze99

10:48PM | Thu, 17 February 2011

OHHHH......is definitely the best comment for this one! i find your color palette absolutely terrific,and the way the spirals are displayed on the 3d shape is amazing! BRILLIANT WORK!

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