An oval spiral or a chevron are some of the most popular patterns for braided rag rugs. Knitting, crocheting, latch hooking, patchwork and stenciling techniques allow for an infinite variety of patterns.
Coiling braids of fabric and sewing them together is a common technique. Rag Rug Cafe even shows how to weave braided rugs without any sewing. The House that Liars Built shows how to produce a chevron pattern using a more complex braiding technique, and Martha Stewart shows how to make an intricate braided design.
Tipnut shows how you can use other techniques to generate many more rag rug patterns. You can knit or crochet to produce ridges, cables or a lacy texture, latch hook small strips for a shag rug, quilt patchwork rugs, or stencil letters or patterns onto any rag rug.