Five Nice Things An Article by Siobhan O'Connor forge.medium.com At our dinners, we sometimes played a game we called Five Nice Things. It is what it sounds like: You take turns naming things that are nice. Five is the number. It can be a thing that makes you happy, a compliment for the other person, a win at work, “This broccoli is tasty,” whatever. It’s a bit sappy, but it’s not the sappiest, and the rules were: Don’t overthink it, and be specific. If I had The Sads happiness
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