Broken world thinking A Fragment by Amanda Menking www.arenasolutions.com Consider, for example, how “broken world thinking” can benefit product design. What if the person (or team) who invented a new technology collaborated with the person (or team) who would one day repair the same technology? What if the innovation stakeholders and the infrastructure stakeholders collaborated closely with the end users? What if every new product designed by a technology company was designed in such as way as to factor in what happens to the product after planned obsolescence? technologyrepairproductsdesign
Wang tiles 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. Wikipedia en.wikipedia.org Truchet TilesThe Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy mathalgorithms