Mon, Jul 8, 3:13 PM CDT

Da Vinci’s Surmise

Fractal Flowers/Plants posted on Jun 11, 2011
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Description


Long, long ago, before anyone even dreamed of the concept of fractals, Leonardo Da Vinci envisioned them. In the voluminous surviving pages of Leonardo Da Vinci’s notebooks can be found the first detailed study of the fractal branching rule in forest ecosystems. Da Vinci, that incomparable renaissance genius, included in his analysis detailed diagrams illustrating the rule. Amongst present day environmental scientists, it is now well known that this rule can be used as a predictive tool. Briefly, the rule states that starting from the trunk of a tree; daughter branches and twigs have the same combined cross-sectional area as the branch from which they originated. Detailed research (some of which has been mine) has now demonstrated that this relationship applies to an entire forest system. An entire forest can be fractally modeled as if it were a single tree. This has enormous economic implications. Taking a census of an extensive forest system is very costly. Computer fractal branching rule models now exist, which vastly reduce the census costs. Also, these models allow calculation of the greenhouse gas adsorption capability of a forest. Today’s rendering uses Da Vinci’s actual fractal branching rule as an illustration of the way fractals can be found everywhere in nature. Everything from quantum physics, biology, geology, meteorology and on up to the formation of galaxies and galactic clusters consist of fractal structures. Here is the fundamental question: Why is this? The trite answers such as “fractals represent the most efficient packing structures” do not even begin to answer this question. It goes much, much deeper than that. Created in Ultra Fractal

Comments (9)


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eekdog Online Now!

9:32AM | Sat, 11 June 2011

brilliant and thrilling fractal Stan, you never fail to amaze my friend. love the bold and beautiful colors.

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greyone

9:44AM | Sat, 11 June 2011

Fabulous image Stan. Your work is outstanding as always. The decription also helps open the mind to fractals and the natural world. I have for years looked at very intircate spider webs with amazing designs and realized there is a natural fractal formula in action in the web's creation. Have a great weekend Stan.

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jmb007

9:52AM | Sat, 11 June 2011

belle image!!

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peedy

10:18AM | Sat, 11 June 2011

I don't know, why, Stan. I only know that Nature's fractals are beautiful! As is your image! Gorgeous colors. Corrie

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Bossie_Boots

1:24PM | Sat, 11 June 2011

the fractal is fantastic but what an interesting read it is really thought provoking thank you for sharing superb work !!

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fallen21

1:25PM | Sat, 11 June 2011

Awesome fractal image.

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farmerC

1:54PM | Sat, 11 June 2011

Shining work.

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mgtcs

6:06PM | Sun, 12 June 2011

Wonderful image. Love the color scheme. Of course, it is all highlighted by the interesting, informative, text. The scientific work alluded to ain't too shabby either! As to your question, I guess it has to be put together with why Pi has its value as it is (and why is it an irrational and transcendental number), why is e ever so present in nature, the Fibonacci sequence, etc.

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mps

1:48PM | Sat, 23 July 2011

Lovely image


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