Style consists in distinction of form Writing about style in architecture, the nineteenth-century theorist Viollet-le-Duc asserted that "style consists in distinction of form," and complained that animals expressed this better than the human species. He felt that his contemporaries had "become strangers to those elemental and simple ideas of truth which lead architects to give style to their designs," and he found it "necessary to define the constituent elements of style, and, in doing so, to carefully avoid those equivocations, those high-sounding but senseless phrases, which have been repeated with all that profound respect which most people profess for that which they do not understand." Eugène Viollet-le-Duc, The Evolution of Useful Things Having quite lost sight of the principle style
The usages of life A Fragment by Eugène Viollet-le-Duc victorianweb.org During the sixteenth and seventeenth centuries architects not only paid attention to internal arrangements, but subordinated the designs for the exterior to them. The usages of life dictated the arrangement and the arrangement suggested the form of the building. This was the dominant principle in times of Classical Antiquity and the Middle Ages. The Timeless Way of BuildingForm follows function architecturefunction
Discourses on Architecture A Book by Eugène Viollet-le-Duc Style consists in distinction of formHaving quite lost sight of the principle
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