Truchet Tiles
Truchet tiling — Smith quarter-arc contours
A 16×16 grid in which each cell carries two quarter-circle arcs in a coin-flip orientation; adjacent arcs join into continuous meanders across the whole field.
Paper / citationSébastien Truchet, “Mémoire sur les combinaisons,” Mém. Acad. Roy. Sci. (1704); Cyril Stanley Smith, “The Tiling Patterns of Sebastian Truchet and the Topology of Structural Hierarchy,” Leonardo 20(4):373–385 (1987).
https://doi.org/10.2307/1578535
https://doi.org/10.2307/1578535
◈Made by real computation — every vertex is produced by the algorithm’s own math, integrated or iterated from the paper’s equations. No tracing, no decoration, no image model.