On 'The Master and His Emissary' A Quote by Ian McGilchrist www.ttbook.org People who make works of art, whatever they might be, have gone to great trouble to make something unique which is embodied in the form that it is, and not in any other form, and that it transmits things that remain implicit ...Works of art are not just disembodied, entirely abstract, conceptual things. They are embodied in the words they’re in or in paint or in stone or in musical notes or whatever it might be. The work is what it meansThe meaning of musicIf a book can be summarized, is it worth reading? artmaterialmeaningform
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