In information visualization and graphic design, Truchet tiles are square tiles decorated with patterns that are not rotationally symmetric. When placed in a square tiling of the plane, they can form varied patterns, and the orientation of each tile can be used to visualize information associated with the tile's position within the tiling.[1]
Truchet tiles were first described in a 1704 memoir by Sébastien Truchet entitled "Mémoire sur les combinaisons", and were popularized in 1987 by Cyril Stanley Smith.[1][2]
^Smith, Cyril Stanley (1987), "The tiling patterns of Sebastian Truchet and the topology of structural hierarchy", Leonardo, 20 (4): 373–385, doi:10.2307/1578535. With a translation of Truchet's text by Pauline Boucher.
graphic design, Truchettiles are square tiles decorated with patterns that are not rotationally symmetric. When placed in a square tiling of the plane,...
of deciding whether a Wang domino set can tile the plane is also undecidable. Truchettiles are square tiles decorated with patterns so they do not have...
topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kinds of tiles. Each chapter...
join the sides of the square in pairs. The first two are the tiles of the Truchettiling. The path may return to a previously filled square and follow...
game includes square (1×1) and rectangular (2×1) tiles and challenge cards which provide a list of tiles that should be arranged to make a contiguous path...
Mathematics Society, 2020. Yackel, C. A. “Treating Templeton Squares Like TruchetTiles” In Figuring Fibers, Providence, RI: AMS, 2018. Yackel, C. “Report:...
(2004). André, Jacques; et al. (1999), "Father Truchet, the typographic point, the Romain du roi, and tilings" (PDF), TUGboat, vol. XX, No. 1, pp. 8–14. Porchez...