Sangaku: The Sudoku of the 17th century
Behold an ancient Japanese "Sangaku" table -- the Sudoku of the 17th century.
Sangaku emerged during the 100-year period that Japan forcibly cut itself off from West, allowing only one Dutch ship a year to dock. The cultural isolation did some weird things to the country's mathematicians. Because they never heard about calculus -- which was developed in Europe -- they developed brute-force ways of solving classic calculus problems, such as how many circles of a particular size fit in a square. They'd draw the enormous, sprawling solutions out on beautifully illustrated wooden tables, which they regarded as religious offerings. (I love it: Using math to praise God. Man, wouldn't it be nice if more religious conservatives in the US made that connection? It's quite a venerable once, too, since many historic mathematicians -- most particularly Newton -- regarded math as the language in which God spoke.)
Anyway, Sangaku fell into disrepute during the 20th century, but Tony Rothman, a Princeton Nobel nominee, is helping spearhead a movement to restore what he calls the sudoku of the 17th century. Like Sudoku, Sangaku was based in principles so simple that children could solve them, as Rothman says in this story:
"Some of the tablets feature solutions provided by 12-year-olds," he said. "But that doesn't mean they were easy. Today's high school geometry problems tend to require only five or six lines to solve, whereas the old problems often demand pages and pages of work. Sangaku were more like math Olympics problems, or the sort of thing your teacher might have put on the wall for extra credit."
Posted by Clive Thompson at July 04, 2006 12:51 PM
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I believe that I saw some of these tablets offered up as tributes to Hachiaman, the war god, in a temple in Japan.
Posted by: Cultureraven at July 5, 2006 8:34 AM
On New Year's Day(now moved over to our Western solar year, away from the Asian Lunar year) young folks go to have special arrows blessed, arrows that symbolize their aspirations for the coming year. So H. seems to be a kami of dedicated effort -- like doing well on exams or becoming sharp at math -- rather than just slicin' off headz.
Not that there's anything wrong with that ...
Posted by: Cultureraven at July 5, 2006 8:37 AM
Posted by: Clive at July 6, 2006 1:39 PM
"Man, wouldn't it be nice if more religious conservatives in the US made that connection?"
Th same should be said to most of the scientific elites in America as well as some opportunistic atheists who abuse their reputation. It's unfortunate that both sides are so obsessed with the negative side of Western religion dogma, to the point where scientists grew more disillusioned with religion thanks to past persecution by the Church, that they've missed the beauty of how the East, from Arabia to India to China treats both science & religion together. While the West are locked into battles between science & religion, the East, even Greeks before, have been reconciling both for ages. It's unfortunate, however, that both sides in the West, the conservatives & the scientific elite would still regard what the East has done as backwards, or heretical.
Posted by: Foxtrotter at July 10, 2006 10:15 AM
Posted by: tomp at July 18, 2006 7:23 AM
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I believe that I saw some of these tablets offered up as tributes to Hachiaman, the war god, in a temple in Japan.
Posted by: Cultureraven
at July 5, 2006 8:34 AM
On New Year's Day(now moved over to our Western solar year, away from the Asian Lunar year) young folks go to have special arrows blessed, arrows that symbolize their aspirations for the coming year. So H. seems to be a kami of dedicated effort -- like doing well on exams or becoming sharp at math -- rather than just slicin' off headz.
Not that there's anything wrong with that ...
Posted by: Cultureraven
at July 5, 2006 8:37 AM
Excellent!!
Posted by: Clive at July 6, 2006 1:39 PM
"Man, wouldn't it be nice if more religious conservatives in the US made that connection?"
Th same should be said to most of the scientific elites in America as well as some opportunistic atheists who abuse their reputation. It's unfortunate that both sides are so obsessed with the negative side of Western religion dogma, to the point where scientists grew more disillusioned with religion thanks to past persecution by the Church, that they've missed the beauty of how the East, from Arabia to India to China treats both science & religion together. While the West are locked into battles between science & religion, the East, even Greeks before, have been reconciling both for ages. It's unfortunate, however, that both sides in the West, the conservatives & the scientific elite would still regard what the East has done as backwards, or heretical.
Posted by: Foxtrotter at July 10, 2006 10:15 AM
A few years back, inspired by an earlier Tony Rothman article in Scientific American, as part of a university project I made a few interactive sangaku.
Posted by: tomp
at July 18, 2006 7:23 AM