A mind so in flux A mind so in flux, so sensitive to intuitive insights, could never write an academic textbook. All he could retain on paper were indications, hints, allusions, like the delicate color dots and line plays on his pictures. Sibyl Moholy-Nagy, Pedagogical Sketchbook drawingmind
The senses of form and tone Man painted and danced long before he learned to write and construct. The senses of form and tone are his primordial heritage. Sibyl Moholy-Nagy, Pedagogical Sketchbook artformdance
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