I just composed this instead of sleeping. It’s a piano piece based on the first 44 Fibonacci numbers. Each measure emphasizes a pitch. The piece uses the bijection between the pitch set (C Major scale) and the values that live in Z7. The pitches are decided based on the transformation Fn mod 7.
Fibonacci by Jonathan Williams is licensed under a Creative Commons License.
A Thirteen-year-old teenager named Aidan Dwyer discovered how trees use math in order to maximize photosynthesis, and thought that it could well be applied towards solar panels.
The Fibonacci sequence appears in many forms in nature, such as the shape of nautilus shells, the seeds of sunflowers, falcon flight patterns and galaxies flying through space.
With that in mind Aidan built a test tool to measure the spiral pattern of different species of trees.
On the oak tree, the Fibonacci fraction is 2/5, which means that the spiral takes five branches to spiral two times around the trunk to complete one pattern.
Other trees with the Fibonacci leaf arrangement are the elm tree (1/2); the beech (1/3); the willow (3/8) and the almond tree (5/13) (Livio, Adler).
He then designed and built his own test model, copying the Fibonacci pattern of an oak tree.
Aidan 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.
The idea was to track how much sunlight each model collected under the same conditions by watching how much voltage each model made.
The measurements were taken from October to December.
Here’s the graph for the Tree Design:
And here’s the graph for the Standard Design:
The Fibonacci tree design performed better than the flat-panel model. The tree design made 20% more electricity and collected 2 1/2 more hours of sunlight during the day.
But the most interesting results were in December, when the Sun was at its lowest point in the sky. The tree design made 50% more electricity, and the collection time of sunlight was up to 50% longer!
This technology should be applied to the Earthship because the new tree like solar panel is more efficient at encountering earth’s phenomena.
The tree design takes up less room than flat-panel arrays and works in spots that don’t have a full southern view.
It collects more sunlight in winter. Shade and bad weather like snow don’t hurt it because the panels are not flat. It even looks nicer because it looks like a tree.
Simply visualize the new tree like solar panel next to the Dynasphere!
Solar Panel breakthrough update 12/03/13:
A team of MIT researchers has come up with a very different approach: building cubes or towers that extend the solar cells upward in three-dimensional configurations.
The results from the structures they’ve tested show power output ranging from double to more than 20 times that of fixed flat panels with the same base area.
The new findings, based on both computer modeling and outdoor testing of real modules, have been published in the journal Energy and Environmental Science.
One of my favourites!
Fox by Sergei Gorshkov