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Complex mathematical concepts are difficult to teach, so textbooks frequently try to explain things by referring to everyday phenomenon. But textbooks are often pretty culturally specific, so it’s hard to translate them from one country to another — or even from one cultural group to another. A textbook written using farm examples from rural Idaho ain’t gonna cut it with kids in New York who’ve never even seen a tree, and vice versa. So the trick is to find relevant culture that also represents high-end math.
Such as … cornrow hair braids. Some educators realized that cornrows were a great example of fractal geometry, and developed some software that illustrates how it works. Ron Eglash of the Rensselaer Polytechnic Institute wrote about it on his web site:
Each braid is represented as multiple copies of a “Y” shaped plait. In each iteration, the plait is copied, and a transformation is applied. The series of transformed copies creates the braid. In the above example, we can see the original style at top right, and a series of braid simulations, each composed of plait copies that are successively scaled down, rotated, and translated (reflection is only applied to whole braids, as in the case where one side of the head is a mirror image of the other). One of the interesting research outcomes was that our students discovered which parameters need to remain the same and which would be changed in order to produce the entire series of braids (that is, how to iterate the iterations).
(Thanks to Yishay Mor for this one!)
I'm Clive Thompson, a writer on science, technology, and culture. This blog collects bits of offbeat research I'm running into, and musings thereon.
Currently, I'm a contributing writer for the New York Times Magazine and a columnist for Wired magazine. I also write for Fast Company and Wired magazine's web site, among other places. Email or AOL IM me (pomeranian99) to say hi or send in something strange!
The “Milky Way Transit Authority” map
Should automobile software be open-sourced?
My Bookforum review of Jaron Lanier’s “You Are Not A Gadget”
Molecular secrets of the “iron-plated snail”
» visit the Collision Detection archives
January 31, 2010 » 07:29 PM
V. A. To me death seems to be an evil.
M. What, to those who are already dead? or to those who must die?
A. To both.
M. It is a misery, then, because an evil?
A. Certainly.
M. Then those who have already died, and those who have still got to die, are both miserable?
A. So it appears to me.
M. Then all are miserable?
A. Every one.
January 24, 2010 » 03:22 PM
One of the more interesting trends is family, which came in at number five. Specifically, discussion about family, moms, dads, daughters, etc. jumped during 2009. With Facebook users getting older, this isn’t a big surprise. However, the fact that the mention of “kids” jumped by a factor of five this year is rather dramatic. It’s tough to know what this means, though. (via Facebook Unveils Most-Mentioned Topics of 2009
)
January 15, 2010 » 01:36 PM
BEYOND AWESOME. They are announcing a recall of the Plush Uterus “due to a potential choking hazard for children”. To apply for it, “Please send an email to the address below with the subject line, ‘UTERUS OPT OUT’”.
January 14, 2010 » 10:04 PM
“To order, please TYPE “YES” IN CHECKBOX BELOW TO AGREE YOU UNDERSTAND THIS PLUSH MUST BE KEPT AWAY FROM KIDS (it is a sex organ, after all). If it is not checked, WE WILL NOT SEND THE UTERUS.” (via @ibogost)
January 11, 2010 » 01:45 PM
I watched Space: 1999 back in the day, but I swear to god I do not remember this scene.
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