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This was done by knitting three separate pieces, braiding a sewing ends together, but you could cast the whole thing onto one needle, knit for a few rows, then divide onto three needles, knit the three pieces, braid and then put all stitches back on one needle to finish. That's how I'd do it.
HENRY Knit scarf, Knitty: A subtle slip-stitch herringbone pattern on a stockinette background creates a beautiful fabric that appears woven rather than knit, while the lengthwise set-up of the scarf differs from the usual bottom-to-top knit-purl shawl construction.