The Small Group An Article by James Mulholland jmulholland.com Lying somewhere between a club and a loosely defined set of friends, the SMALL GROUP is a repeated theme in the lives of the successful. Benjamin Franklin had the Junto Club, Tolkien and C.S. Lewis had The Inklings, Jobs and Wozniak had Homebrew. Around a dozen members is the sweet spot of social motivation: small enough to know everyone, yet large enough that the group won’t collapse if one or two members’ enthusiasm wanes; small enough that you are not daunted by competing with the whole world, yet large enough that you still need to be on your toes to keep up. Seeing Is Forgetting the Name of the Thing One SeesMutual appreciationSceniusTossing an idea around teamworkcreativityinnovationcollaboration
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