Against form follows function An Essay by Andrea Resmini andrearesmini.com I cannot get past the fact that any *designer* who throws that phrase around matter-of-factly, as in “of course form follows function”, comes out as a complete ignoramus. An ignoramus who's not just repeating an 1896 “law” without any clues as to what it means but who also, most poignantly, demonstrates to possess no knowledge of what has happened in design and architecture since Sullivan and Adler contributed to inventing the high rise building and, by extension, much of the world we live in. Useless work on useful thingsForm follows functionForm follows failure formfunctionarchitecture
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