are.na An Application by Charles Broskoski www.are.na Build ideas mindfully. Save content, create collections, and connect ideas with other people. ObsidianRoam ResearchWhat this site isOn Motivation thinkingnetworkshypermedianotetaking
On Motivation An Essay by Charles Broskoski www.are.na I’ve had this (semi-vague) idea that I want to write about what keeps us excited to work on Are.na, on the occasion of its 10th (yes 10th) birthday. While writing generally is a tricky process for me, this subject motivation is even trickier. In turning this subject around in my mind, and thinking about all the people and things that have been influential, I have some idea about what keeps us going. Nodal pointsInfinite varieties of contextsA lifelong projectGrowing in the correct way are.naThe slow blade penetrates the shield
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