Summary: Diagrams of woven fabrics form a tiling of the plane into unit squares without common inner points, each of which is black or white. Symmetries of those diagrams are investigated.
[1] B. Grünbaum G. C. Shephard: Satins and Twills: An Introduction to the Geometry of Fabrics. Math. Magazine 53 (1980), 139-161. DOI 10.1080/0025570X.1980.11976845 | MR 0600071