The design is woven in, so we call it a "woven." Moda makes quite a few wovens, Corey Yoder recently had a whole line of pastel colored wovens that were beautiful. Here's a link with some pictures.
https://blog.fatquartershop.com/how-...h-corey-yoder/
Diamond Textiles also makes some beautiful wovens.
https://www.google.com/search?q=Dimo...biw=1600&hl=en
Other wovens are muted colors and used for the background of wool applique.