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Mathematics becomes a black box

The mathematician Stan Wagon has created a bicycle with square wheels. It doesn’t work on flat land, of course — but it rides perfectly when you roll along a road made of of “catenaries”. And what the heck is a catenary? Glad you asked! As a story about the bicycle notes:
A catenary is the curve describing a rope or chain hanging loosely between two supports. At first glance, it looks like a parabola. In fact, it corresponds to the graph of a function called the hyperbolic cosine. Turning the curve upside down gives you an inverted catenary—just like each bump of Wagon’s road.
The thing is, you can create a catenary curve by spinning a square on its axis and tracing the trajectory of a point. That’s a little hard to visualize, but if you go to that page, there’s a cool animation showing how it works.
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!
A long German word for “noticing when ads are being customized based on your surfing history”
“El Ajedrecista” — an analog chess-playing computer from 1912
“How did you find my site?” and Vannevar Bush’s memex
» visit the Collision Detection archives
May 20, 2011 » 02:28 PM
From Christopher Kennedy’s very droll book “Neitzsche’s Horse”.
July 28, 2010 » 07:35 AM
“Wr” - S
July 06, 2010 » 10:05 AM
My Xbox broke, and I was trying to Google some possible technical solutions, when I noticed that Google appears to be encouraging me to make a typo. I suppose it’s possible that Google’s algorithms know that typing “wont” instead of “won’t” would produce better results.
June 29, 2010 » 05:00 PM
On the other hand, when I tried the test for multitasking, I was pretty abysmal. I performed worse than people who identify themselves as heavy multitaskers, and those who identify as low multitaskers.
June 29, 2010 » 04:58 PM
I finally got around to trying out the interactive “test your distractability and multitasking” page at the New York Times, which they put up alongside their story earlier this month about how computer distractions are eroding our lives.
According to the test, I guess I have good focus — I’m not very distractable!
» see all of my photos on Flickr
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