A short essay by Ralph Griswold on the concept of isonemal fabrics introduced by Grünbaum and Shephard in their 1980 paper on the geometry of fabrics. He argues that isonemality is mathematically interesting but has little practical relevance for weaving, since many common weaves are not isonemal and the property says nothing about soundness, float length or appeal. The second page shows pixel-grid diagrams of isonemal and non-isonemal fabric examples drawn from the Grünbaum and Shephard paper.