Supposing I found myself chasing another fly ball and ran head-on into a basketball backboard, supposing I woke up once again lying under an arbor with a baseball glove under my head, what words of wisdom could this man of thirty-odd years bring himself to utter? Maybe something like: This is no place for me.
Our culture reveres youth, aspires to agelessness and is frightened by signs of age, wear and decay. As a consequence of this obsession, and the qualities of our man-made materials, contemporary environments have lost their capacity to contain and communicate traces of time. Our buildings often seem to exist in a timeless space without contact with the past or confidence for the future.
One thing I assume of age is weariness.
Damned if I don’t get more tired every day.
Tired of what I do, following arcs like lobbed rocks — the inevitability of truth.
But the complexity and the gray lie not in the truth, but in what you do with the truth once you have it.
Building structure requires serious listening, serious reflection, and serious imagination. All this requires experience, and no matter how experienced you are, it costs you. We spend our time and nerves to save users their time and nerves. Well-designed things give us the invaluable present of time. Well-designed products do not just save us time, they make us enjoy the time we spend with them. They make us feel that someone has been thinking about us, that a nice person took care of the little things for us. This is mainly why we perceive well-designed things as more beautiful the longer we use them, and the more used they become.
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.