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OKIsItJustMe Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 12:31 PM
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13 year old designs solar panel “tree”
http://www.amnh.org/nationalcenter/youngnaturalistawards/2011/aidan.html




The branches seemed to have a spiral pattern that reached up into the sky. I had a hunch that the trees had a secret to tell about this shape. Investigating this secret led me on an expedition from the Catskill Mountains to the ancient Sanskrit poetry of India; from the 13th-century streets of Pisa, Italy, and a mysterious mathematical formula called the "divine number" to an 18th-century naturalist who saw this mathematical formula in nature; and, finally, to experimenting with the trees in my own backyard.



My investigation started with trying to understand the spiral pattern. I found the answer with a medieval mathematician and an 18th-century naturalist. In 1209 in Pisa, Leonardo of Pisano, also known as "Fibonacci," used his skills to answer a math puzzle about how fast rabbits could reproduce in pairs over a period of time. While counting his newborn rabbits, Fibonacci came up with a numerical sequence. Fibonacci used patterns in ancient Sanskrit poetry from India to make a sequence of numbers starting with zero (0) and one (1). Fibonacci added the last two numbers in the series together, and the sum became the next number in the sequence. The number sequence started to look like this: 1, 1, 2, 3, 5, 8, 13, 21, 34... . The number pattern had the formula Fn = Fn-1 + Fn-2 and became the Fibonacci sequence. But it seemed to have mystical powers! When the numbers in the sequence were put in ratios, the value of the ratio was the same as another number, φ, or "phi," which has a value of 1.618. The number "phi" is nicknamed the "divine number" (Posamentier). Scientists and naturalists have discovered the Fibonacci sequence appearing in many forms in nature, such as the shape of nautilus shells, the seeds of sunflowers, falcon flight patterns and galaxies flying through space. What's more mysterious is that the "divine" number equals your height divided by the height of your torso, and even weirder, the ratio of female bees to male bees in a typical hive! (Livio)



I designed and built my own test model, copying the Fibonacci pattern of an oak tree. I studied my results with the compass tool and figured out the branch angles. The pattern was about 137 degrees and the Fibonacci sequence was 2/5. Then I built a model using this pattern from PVC tubing. In place of leaves, I used PV solar panels hooked up in series that produced up to 1/2 volt, so the peak output of the model was 5 volts. The entire design copied the pattern of an oak tree as closely as possible.

I needed to compare the tree design pattern's performance. I made a second model that was based on how man-made solar panel arrays are designed. The second model was a flat-panel array that was mounted at 45 degrees. It had the same type and number of PV solar panels as the tree design, and the same peak voltage. My idea was to track how much sunlight each model collected under the same conditions by watching how much voltage each model made.



Now, which one do you think performed better?
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Lucinda Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 12:35 PM
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1. Bookmarking to read when I come back.
Thank you!
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OKIsItJustMe Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 12:37 PM
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2. You’re welcome!
Enjoy!
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valerief Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 12:40 PM
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3. Very cool. I'm sure the Chinese (and not the US) will be right on it! nt
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xchrom Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 12:48 PM
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4. recommend
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ewagner Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 01:01 PM
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5. The simple answer is usually the right answer
Congratulations to this young man for a very serious study....
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pinto Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 01:01 PM
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6. Kick
:kick:
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toddwv Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 03:25 PM
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7. Interesting. I was just thinking about the same idea a few days ago.
Not saying that I was going into it with the intellectualism with which this young scholar and innovator obviously approached it. But I was thinking about how it would be aesthetically pleasing, and possibly more efficient, to make a solar collector that resembles a tree. I was sure that I wasn't the first person to think about this, looks like I was right.
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Celebration Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 03:32 PM
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8. It isn't just trees with that pattern
It is everything from snails to the cochlea in ears..........

http://en.wikipedia.org/wiki/Golden_ratio
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OKIsItJustMe Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Aug-19-11 04:49 PM
Response to Reply #8
9. As he writes…
… Scientists and naturalists have discovered the Fibonacci sequence appearing in many forms in nature, such as the shape of nautilus shells, the seeds of sunflowers, falcon flight patterns and galaxies flying through space. …
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Starboard Tack Donating Member (1000+ posts) Send PM | Profile | Ignore Sat Aug-20-11 02:41 AM
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10. Brilliant
We need more kids like this and who knows, they may yet save this planet.
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WhiteTara Donating Member (1000+ posts) Send PM | Profile | Ignore Sat Aug-20-11 07:55 AM
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11. What an incredible discovery. Good Job, Aiden! n/t
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PoliticAverse Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Aug-23-11 03:41 PM
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12. Skeptical followup to the claim...
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Kolesar Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Aug-23-11 03:48 PM
Response to Reply #12
13. Newspapers don't use technical editors
The Capacity Factor, clearly unhappy with its role of the Grinch who must squash an adolescent's science discovery, has written a post called "In which hopelessly inept journalists reduce me to having to debunk a school science project."
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