Here are the specs for my basketweave scarves. They have become a favorite for me -- they seem to knit up so fast, they make a nice flat fabric with some interest, and they are unisex.
AND they couldn't be simpler to make.
Cast on a multiple of four, plus 2 extra stitches to make a nice edging.
For my current version, I have cast on 26 stitches, and I'm using a US 9/5.5mm needle. This is giving me a scarf that is exactly 6 inches wide.
The worsted-weight yarn I'm using is Alpaca With A Twist "Highlander" -- 45% baby alpaca, 45% merino wool, 8% microfiber, and 2% viscose, in the colorway 3015, Hebrides Rose, which is a brownish-rosy red with brown, black, and off-white flecks.
I bought this incredibly super-soft and beautiful yarn several years ago from Mel and David's booth at Rhinebeck. (Isn't it freakish that, with such a well-stocked "library" of yarn from which to choose, I can remember exactly where I bought most of the skeins? Weird. Or are we all like that?)
For the pattern:
ROWS 1 through 4: With yarn in front, slip the first stitch. Put yarn in back. *K4 P4. Repeat from * to the last stitch. Knit the last stitch.
ROWS 5 through 8: With yarn in front, slip the first stitch. Leave yarn in front. *P4 K4. Repeat from * to the last stitch. Knit the last stitch.
Repeat rows 1 through 8 until scarf is desired length. Cast off in pattern.
You can make the scarf wider or narrower by adding or removing groups of 4 stitches. If you use an odd number of "disks" or "patches" or "checkerboards" -- whatever you want to call them -- the pattern needs to be modified when you come back on the return row. It's easy to change -- you just have to remember that in any row that begins with knit stitches, you slip the first stitch and put the yarn in back. With rows that begin with purl, you slip the first stitch and keep the yarn in front. Always slip the first stitch of every row and knit the last stitch of every row, to keep the nice smooth edging.