My own book may be crap, but I am certain, when such an imbalance in profitability as the one I have just described emerges, between photojournalism and selfies, that it is all over. This is not a critical judgment. I am not saying that the photos of Pol Pot are good and the selfies are bad. I am saying that the one reveals a subject and the other reveals an algorithm, and that when everything in our society is driven and sustained in existence by the latter, it is all over.
Wang tiles (Hao Wang, 1961) are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, without rotating or reflecting them.
The basic question about a set of Wang tiles is whether it can tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern.
In 1966, Wang's student Robert Berger solved the problem in the negative. He proved that no algorithm for the problem can exist, by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt. The undecidability of the halting problem then implies the undecidability of Wang's tiling problem.
The Macintosh team came to share Jobs's passion for making a great product, not just a profitable one. "Jobs thought of himself as an artist, and he encouraged the design team to think of ourselves that way too," said Hertzfeld. "The goal was never to beat the competition, or even to make a lot of money. It was the do the greatest thing possible, or even a little greater." He once took the team to see an exhibit of Tiffany glass at the Metropolitan Museum in Manhattan because he believed they could learn from Louis Tiffany's example of creating great art that could be mass-produced. Recalled Bud Tribble, "We said to ourselves, 'Hey, if we're going to make things in our lives, we might as well make them beautiful.'"