Breeding a Better Wind Turbine

This is a truly mind-blowing idea:  using the principle of natural selection to “evolve” a more efficient wind turbine blade.

http://www.youtube.com/watch?v=YZUNRmwoijw

Looking to see if he could somehow improve upon the standard blade design, a designer created a virtual world populated by blades of different shapes.  He then “played god” by defining rules for reproduction between two blades.

Rules like “the most efficient blade gets first pick of mate”, and “the least efficient blades die” created a virtual world governed by the principle of natural selection, and after many generations, only the fittest, or most efficient blades. survived!

An unconventional blade emerged from the virtual world, but it passed the designers tests with flying colors, beating out the standard blade-design in efficiency.  The blade looks strange, but it’s probably not the first odd-looking result of natural selection.  After all, the camel is a weird-looking animal, but it gets the job done!

Math and Art: Curvefitting With Geogebra

Here is some student work from a recent project I conducted on fitting curves to images in Geogebra.  The details of the assignment can be found here, and more examples of student work can be seen on my Facebook page.

Students were asked to find pictures and use Geogebra to fit trigonometric curves to the images using transformations. Here are some of the results.

Smart Water = Smart Curves

Geogebra.Curvefit.Water.Bottle

My Good-Looking Windowsill

Geogebra.Curvefit.Windowsill

Sine of Camel Humps

Geogebra.Curvefit.Camel

Overall, I was really impressed with the creativity the students showed, and their facility with fitting these curves to the forms!  A mathematical and artistic success in my book.

Related Posts

Creating Digital Landscapes

Tim Chartier, a professor of mathematics at Davidson college, has put together some great resources on using mathematical algorithms and free computer software to create random-looking 2D and 3D landscapes.

In the following paper posted at the MAA’s Digital Library, Chartier outlines the basic ideas of fractal geometry and random number generation, and creates a simple computer program that will generate random-looking coastlines and mountain ranges:

http://mathdl.maa.org/mathDL/23/?pa=content&sa=viewDocument&nodeId=1795

And in a follow-up blog post, Chartier takes the process one step further by turning his 2D fractal island into a planet, using free ray-tracing software.

http://forum.davidson.edu/mathmovement/2011/07/10/a-random-planet/

After explaining how to produce the planet, Chartier challenges the reader to create and submit their own!

It’s easy to see some of the applications of this idea in computer animation and graphics, as well as perhaps in simulations.  A simple, innovative, and fun idea to explore!

Digi-Comp II: A Mechanical Computer

The folks at EvilMadScientist.com bring you a giant working replica of the Digi-Comp II, a 60s-era build-it-yourself computer kit:

http://www.evilmadscientist.com/article.php/dciivid

After the switches are initialized to choose the operation, the machine channels a stream of pool balls through various binary gates to effect addition, multiplication, and other basic mathematical and computational procedures.   For more information, check out www.digi-compii.com.

As a pure math person, I never fully appreciated these mechanical computers.  But after seeing things like the Digi-Comp, cam-based mathematics, and various mechanical calculators, I’m developing a genuine respect for them

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