Seeing Around Corners
It was easy in America, he noticed, to find neighborhoods that were mostly or entirely black or white, and correspondingly difficult to find neighborhoods where neither race made up more than, say, three fourths of the total. "The distribution," he wrote in 1971, "is so U-shaped that it is virtually a choice of two extremes." That might, of course, have been a result of widespread racism, but Schelling suspected otherwise. "I had an intuition," he told me, "that you could get a lot more segregation than would be expected if you put people together and just let them interact."

One day in the late 1960s, on a flight from Chicago to Boston, he found himself with nothing to read and began doodling with pencil and paper. He drew a straight line and then "populated" it with Xs and Os. Then he decreed that each X and O wanted at least two of its six nearest neighbors to be of its own kind, and he began moving them around in ways that would make more of them content with their neighborhood. "It was slow going," he told me, "but by the time I got off the plane in Boston, I knew the results were interesting." When he got home, he and his eldest son, a coin collector, set out copper and zinc pennies (the latter were wartime relics) on a grid that resembled a checkerboard. "We'd look around and find a penny that wanted to move and figure out where it wanted to move to," he said. "I kept getting results that I found quite striking."
http://www.theatlantic.com/issues/2002/04/rauch.htm