Spatial Software An Article by John Palmer darkblueheaven.com A world within its interfaceSocial apps and COVID-19Spatial software references Spatial InterfacesSpatial Web Browsing softwareinterfacesdimension
Spatial Interfaces An Essay by John Palmer darkblueheaven.com Software applications can utilize spatial interfaces to afford users powerful ways of thinking and interacting. Though often associated with gaming, spatial interfaces can be useful in any kind of software, even in less obvious domains like productivity tools or work applications. We will see spatial interfaces move into all verticals, starting with game-like interfaces for all kinds of social use-cases. There is no app that replicates a deck of cardsHumans are spatial creaturesWeb trails Makespace.funNototoSpatial SoftwareSpatial Web Browsing interfacesdimensionux
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