Apprenticeship: An Internship Replacement An Essay by Ivana McConnell louderthanten.com Universities are often too large, dulling the student-educator relationship. Internships are often transitory and involve large volumes of work without context or learning: building web pages or presentations from pre-built components to meet a deadline, for example. It’s work that people need to do, but it doesn’t require learning or understanding the client or the project. Thankfully, there is a middle ground that we seem to have forgotten about in tech: the apprenticeship. craftlearningwork
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