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kottke.org posts about mathematics

Neat applet that displays orbit patterns for various particle arrangements.

Neat applet that displays orbit patterns for various particle arrangements.


When Teen Talk Barbie came out in 1989

When Teen Talk Barbie came out in 1989 saying things like “math is hard”, could you imagine if blogs had existed at the time? The whole internet would have exploded with rage.


Birthday hooky

Today is my birthday โ€” I’m 2^5!** โ€” so I’m taking the day off. No posts or links, aside from this one.

** That’s ! as in exclamation point, not ! as in factorial. I’m not 1.33 x 10^36 years old today.


And, the rest of the (AIGA Conference) story

Here’s a sampling of the rest of the AIGA Design Conference, stuff that I haven’t covered yet and didn’t belong in a post of it’s own:

  • Juan Enriquez gave what was probably my favorite talk about what’s going on in the world of genetics right now. I’ve heard him give a variation of this talk before (at PopTech, I think). He started off talking about coding systems and how when they get more efficient (in the way that the Romance languages are more efficient than Chinese languages), the more powerful they become in human hands. Binary is very powerful because you can encode text, images, video, etc. using just two symbols, 1 and 0. Segue to DNA, a four symbol language to make living organisms…obviously quite powerful in human hands.
  • Enriquez: All life is imperfectly transmitted code. That’s what evolution is, and without the imperfections, there would be no life. The little differences over long periods of time are what’s important.
  • Enriquez again: The mosquito is a flying hypodermic needle. That’s how it delivers malaria to humans. We could use that same capability for vaccinating cows against disease.
  • Along with his list of 20 courses he didn’t take in design school, Michael Bierut offered some advice to young designers:

    1. Design is the easy part.
    2. Learn from your clients, bosses, collaborators, and colleagues.
    3. Content is king.
    4. Read. Read. Read.
    5. Think first, then design.
    6. Never forget how lucky you are. Enjoy yourself.

  • Nicholas Negroponte: If programmers got paid to remove code from sofware instead of writing new code, software would be a whole lot better.
  • Negroponte also shared a story about outfitting the kids in a school in Cambodia with laptops; the kids’ first English word was “Google”, and from what Negroponte said, that was followed closely by “Skype”. He also said the children’s parents loved the laptops because at night, it was the brightest light in the house.
  • Christi recorded Milton Glaser’s mother’s spaghetti recipe. “Cook until basically all of the water is evaporated. Mix in bottle of ketchup; HEINZ ketchup.”
  • Ben Karlin and Paula Scher on the challenges of making America, The Book: Books are more daunting than doing TV because print allows for a much greater density of jokes. In trying to shoot the cover image, they found that bald eagles cannot be used live for marketing or advertising purposes. The solution? A golden eagle and Photoshop. And for a spread depicting all the Supreme Court Justices in the buff, they struggled โ€” even with the Web โ€” to find nude photos of older people until they found a Vermont nudist colony willing to send them photos because they were big fans of The Daily Show.
  • Bill Strickland blew the doors off the conference with his account of the work he’s doing in “curing cancer” โ€” his term for revitalizing violent and crime-ridden neighborhoods โ€” in Pittsburgh. I can’t do justice to his talk, so two short anecdotes. Strickland said he realized that “poor people never have a nice day” so when he built his buildings in these poor black neighbohoods, he put nice fountains out front so that people coming into the building know that they’re entering a space where it’s possible to have a good day. Another time, a bigwig of some sort was visiting the center and asked Strickland about the flowers he saw everywhere. Flowers in the hood? How’d these get here? Strickland told him “you don’t need a task force or study group to buy flowers” and that he’d just got in his car, bought some flowers, brought them back, and set them around the place. His point in all this was creating a place where people feel less dissimilar to each other…black, white, rich, poor, everybody has a right to flowers and an education and to be treated with respect and to have a nice day. You start treating people like that, and surprise!, they thrive. Strickland’s inner city programs have produced Fulbright Scholars, Pulitzer Prize winners, and tons of college graduates.
  • I caught 30 minutes of David Peters’ presentation of Typecast: The Art of the Typographic Film Title and realized I should have gotten there in time to see the whole thing. I could sit and watch cool movie titles all day long. Among the titles he showed were Bullit, Panic Room, Dr. Strangelove, Barbarella, The Island of Dr. Moreau, and Superman. The title sequence for Napoleon Dynamite (which was discussed on Design Observer last year) was shown later in the main hall.
  • At the closing party at the Museum of Science, we checked out the cool Mathematica exhibit that was designed by Charles and Ray Eames, two designers who were also pretty big science/math nerds.
  • And some final thoughts from others at the conference. Peter Merholz says that “form-makers”, which make up the vast majority of the AIGA audience, “are being passed by those who are attempting to use design to serve more strategic ends”. (That’s an interesting thought…) A pair of reviews from Speak Up: Bryony was a bit disappointed with the opening Design Gala but left, like everyone else, in love with emcee John Hockenberry while Armin noted that the preservation of digital files is a big concern for museums in building a collection of graphic design pieces…in 35 years, how are you going load that Quark file or run that Flash movie?

For more of what people are saying about the conference, check out IceRocket. There’s a bunch of photos on Flickr as well.


The list of the 100 greatest theorems in

The list of the 100 greatest theorems in mathematics is topped by The Irrationality of the Square Root of 2 from that nutball Pythagoras. Jesus, who does Godel have to sleep with to get higher on this list…I mean, all the man did was destroy math! (I know, I know, oversimplification, please don’t send me any email….) (via cyn-c)


WolframTones lets you generate and download ringtones

WolframTones lets you generate and download ringtones based on patterns created by cellular automata systems. Anything’s better than the Crazy Frog, yeah?


Fun little quiz on eight grade math…

Fun little quiz on eight grade math…can you pass? I got 9/10 (got tripped up on what I thought was a trick question but wasn’t…erroneous! erroneous!).


The competitive Scrabble world is starting to

The competitive Scrabble world is starting to see some top-notch players for whom English is not their native language. At he highest level of competition, “Scrabble’s secret is that it’s a math game: board geometry, strategic decision making, probability and chance.” And sometimes it’s better not knowing English so the player can focus solely on the memorization of patterns and gameplay. Interesting stuff.


xThink Calculator is a math calculation program

xThink Calculator is a math calculation program that recognizes handwritten input from a Tablet PC (check out the screenshots). Pretty darn nifty and reminiscent of Denim, a tool for UI design. (thx nick)


Spirals on nanoparticles show order, specifically our

Spirals on nanoparticles show order, specifically our friend the Fibonacci sequence, which can be seen in places like seashells and plants. In the case of the nanoparticles, the Fibonacci pattern results from minimizing the stress energy in the system.


“The hairy ball theorem of algebraic topology

The hairy ball theorem of algebraic topology states that, in layman’s terms, ‘one cannot comb the hair on a ball in a smooth manner’”. Heh. Looks like Wikipedia has some new measures in placeto deal with spam/trolls: “This page has been protected from editing to deal with vandalism.”


Pi, God, and apartment supercomputers

The New Yorker recently ran a feature on how a couple of mathematicians helped The Met photograph a part of The Hunt of the Unicorn tapestries. That same week, they ran from their extensive archives a 1992 profile of the same mathematicians, brothers David and Gregory Chudnovsky. The Chudnovskys were then engaged in calculating as many digits of pi as they could using a homemade supercomputer housed in their Manhattan apartment. There’s some speculation that director Darren Aronfsky based his 1998 film, Pi, on the Chudnovskys and after reading the above article, there’s little doubt that’s exactly what he did:

They wonder whether the digits contain a hidden rule, an as yet unseen architecture, close to the mind of God. A subtle and fantastic order may appear in the digits of pi way out there somewhere; no one knows. No one has ever proved, for example, that pi does not turn into nothing but nines and zeros, spattered to infinity in some peculiar arrangement. If we were to explore the digits of pi far enough, they might resolve into a breathtaking numerical pattern, as knotty as “The Book of Kells,” and it might mean something. It might be a small but interesting message from God, hidden in the crypt of the circle, awaiting notice by a mathematician.

The Chudnovsky article also reminds me of Contact by Carl Sagan in which pi is prominently featured as well.

According to Wolfram Research’s Mathworld, the current world record for the calculation of digits in pi is 1241100000000 digits, held by Japanese computer scientists Kanada, Ushio and Kuroda. Kanada is named in the article as the Chudnovskys main competitor at the time.

(Oh, and as for patterns hidden in pi, we’ve already found one. It’s called the circle. Just because humans discovered circles first and pi later shouldn’t mean that the latter is derived from the former.)


Strange attractors and fashion photography meet at

Strange attractors and fashion photography meet at last in this collaboration between Clayton Jame Cubitt and Tom Carden.


How a couple of mathematicians helped the

How a couple of mathematicians helped the Met accurately photograph some priceless tapestries. The difficulty in piecing together the different photographs was because when the tapestries were taken off the wall, they “began to breathe, expanding, contracting, shifting”…that is, they were changing between photos.


Everything and More

DFW is a favorite of mine, but I was disappointed in Everything and More. Perhaps I wasn’t part of the intended audience, but with an interest in all things Wallace, a college degree in physics, a general interest in mathematics, and avid reader of popular science books, if not me, then for whom was this book written?

Mostly I was bothered by Wallace’s signature writing style, which usually challenges the reader in delightful ways. In E&M, he ratcheted his style up to such a degree that it became as obfuscating as the math he was trying to explain. Not that he should have used only words of four letters or less, but a greater degree of clarity and simplicity would have been appreciated to let the parodoxical beauty and the beautiful paradox of transfinite math show (which Jim Holt did more successfully than Wallace in his New Yorker review of the book).