I have only vague memories of learning geometry in high school. I liked it because you got to draw stuff, and while some of my classmates hated doing proofs, I didn’t mind them so much. I saw them as sort of a puzzle, and the logic of the whole process appealed to me. I can’t say I ever really loved geometry or found it fun, however.
Fast forward to last weekend. I discovered “Euclid the Game” on Hacker News. It presents geometric challenges as a sort of game. It’s essentially the same as proofs, but rather than “prove this boring thing” it challenges you, and gives you a little toolbar with geometric “weapons” you can apply. One of the things that impressed me most is that after you demonstrate that you know how to construct a parallel or perpendicular line, or how to translate a line–with simpler tools–you gain new “shortcut buttons” for those tasks in your toolbar. Nice!
Anyway, the point of all this is that learning is a lot more fun when it’s presented as a fun challenge. How many of us had to learn geometry by memorizing axioms, and then theorems, and then drudging through joyless proofs? With this “Euclid the Game,” the challenge factor keeps you going, and the stuff you’re supposed to memorize you just kind of “pick up” because you need it to solve the challenges. And the cherry on top is that there’s more than one correct way to solve the challenges, because, hey, geometry is flexible like that.
Does any of this sound familiar? (Yes, I’m talking about language learning.)
If you treat a language as a big long list of words and grammar points, then yes, you can drudge through it just like any other horrible soul-sucking schoolwork. But in language, the real challenge should always be communication with another human being. If your language learning method doesn’t involve this crucial feature, it’s time to start questioning your methods.
Maybe geometry isn’t your thing at all, and unlike me, you could never get into “Euclid the Game.” But everyone enjoys communicating. Put down the flashcards and take up the challenge.
Check out this crazy rubik’s cube, refitted with Chinese characters, print-block style:
The only thing is, if you actually use ink with this thing to print characters, and then you twist it around, you’re going to end up with ink all over your hands all the time. Minor design issue, though. Cool concept!
> To appreciate the nature and significance of the coming “singularity,” it is important to ponder the nature of exponential growth. Toward this end, I am fond of telling the tale of the inventor of chess and his patron, the emperor of China. In response to the emperor’s offer of a reward for his new beloved game, the inventor asked for a single grain of rice on the first square, two on the second square, four on the third, and so on. The Emperor quickly granted this seemingly benign and humble request. One version of the story has the emperor going bankrupt as the 63 doublings ultimately totaled 18 million trillion grains of rice. At ten grains of rice per square inch, this requires rice fields covering twice the surface area of the Earth, oceans included. Another version of the story has the inventor losing his head.
> It should be pointed out that as the emperor and the inventor went through the first half of the chess board, things were fairly uneventful. The inventor was given spoonfuls of rice, then bowls of rice, then barrels. By the end of the first half of the chess board, the inventor had accumulated one large field’s worth (4 billion grains), and the emperor did start to take notice. It was as they progressed through the second half of the chessboard that the situation quickly deteriorated. Incidentally, with regard to the doublings of computation, that’s about where we stand now–there have been slightly more than 32 doublings of performance since the first programmable computers were invented during World War II.
> This is the nature of exponential growth. Although technology grows in the exponential domain, we humans live in a linear world. So technological trends are not noticed as small levels of technological power are doubled. Then seemingly out of nowhere, a technology explodes into view. For example, when the Internet went from 20,000 to 80,000 nodes over a two year period during the 1980s, this progress remained hidden from the general public. A decade later, when it went from 20 million to 80 million nodes in the same amount of time, the impact was rather conspicuous.
I’d never heard the claim that the Chinese invented chess; I’ve always heard that the game was invented by the Indians or Persians and then later iterated by the Chinese. Kurzweil’s story also seems a bit suspect to me because of its reference to “squares,” which does not match the forms of Chinese chess I’m familiar with, but then again I’m no expert on any kind of chess. Wikipedia has this information on the history of chess in China:
> Joseph Needham posits that “image-chess,” a recreational game associated with divination, was developed in China and transmitted to India, where it evolved into the form of modern military chess. Needham notes that dice were transmitted to China from India, and were used in the game of “image-chess.”
> Another alternative theory contends that chess arose from Xiangqi or a predecessor thereof, existing in China since the 2nd century BC. David H. Li, a retired accountant, professor of accounting and translator of ancient Chinese texts, hypothesizes that general Han Xin drew on the earlier game of Liubo to develop an early form of Chinese chess in the winter of 204–203 BC. The German chess historian Peter Banaschak, however, points out that Li’s main hypothesis “is based on virtually nothing”. He notes that the “Xuanguai lu,” authored by the Tang Dynasty minister Niu Sengru (779–847), remains the first real source on the Chinese chess variant xiangqi.
In my half-assed 5-minute Wikipedia/Baidu Zhidao research, I don’t see reference to the emperor of China sponsoring the invention of any form of chess. Could this be an inaccurate reference to Han Xin (韩信), who is connected to the history of Chinese chess (象棋)? If anyone has more info, I’d love to hear it. Is Kurzweil’s story about Chinese chess, rice grains, and exponential growth just another fake Chinese anecdote, or is there anything to back it up?
It wasn’t until after I’d been in China a while that I started thinking about a culture’s “default social activities.” Friends like to get together, and there’s often no special occasion, so they tend to rely on the defaults. If you’re sports fans or gamers, you might have ritual activities, but most people I knew growing up in Suburbia, USA relied on a small number of default activities:
1. Go to a movie
2. Go to a bar
3. Go to a party
4. Go bowling (or mini-golfing)
After staying in China a while, it took some time to realize that most Chinese people don’t go to movie theaters often, hardly ever go to bars, and don’t really do the party thing. Bowling only happens on rare occasions. China’s “default social activities” list looks more like this:
1. Go to dinner
2. Play cards (or mahjongg)
3. Go to karaoke
4. Play 杀人游戏 (“the murder game”)
It wasn’t until recently that I realized the status and ubiquity of the 杀人游戏 (a game usually known as “mafia” in English). A few years ago I thought it was just a fad, but I just keep hearing about it everywhere, from all kinds of people. It’s just not going away. Recently my friend Frank brought to my attention that some players in China are so fanatical about it that they join clubs (with 6000 members), and even pay to play.
Anyway, if you live in China, definitely give it a try. It’s almost certain that all your young Chinese friends know the game, and you can play it almost anywhere. If you ask me, it’s way better than cards, mahjongg, or karaoke, and if you’re learning Chinese (or your Chinese friends are learning English), it’s good fun practice.
I’m not sure how many versions are played nowadays (it’s been a while since I’ve played), but the Baidu Baike page has an extremely lengthy “version history” with tons of different roles. All you really need to get a game going, though, are the words “杀人游戏.”
1. Gladder: an auto-proxy addon for Firefox. Very convenient! Unlike TOR, it’s not either “always on” or “always off.” Just works for the sites you need it to work on. How did I not find out about this sooner?? (Via JP)
2. Olympic Game Piracy. Shameless. The best thing to do about this is to spread the word when it happens and turn up the scorn. (Via Dave)
3. The Deadly Huashan Hiking Trail: a photo journey. Don’t let the use of Comic Sans fool you; this is one hardcore mountain climb. Make sure you see the pictures toward the end…
I saw these board games on a recent trip to my local Carrefour supermarket.
Makes sense; they’re all translated into Chinese except for Scrabble, because that just doesn’t work. [There are at least two Chinese adaptations of Scrabble, though, called Magi Compo and Chinese Squabble.]
Did you notice the price stickers? Yikes! In case you missed them: