I followed the lovely and simple Ann Marie Infinity Scarf
pattern. This type of scarf goes by many names, but simply put, it's a scarf with no end. Some knitters deliberately (or accidentally) put a twist in their scarf, resulting in a Moebius Scarf. Wide versions of these scarves can be pulled over the head like a hood and are called "Smoke Rings and still others are called cowls.
I knit this on size 9, 42" round needles, casting on a bizillion stitches and working a 5 x 5 rib with sock yarn. I bound off a bit too tightly but the result was an interesting, wavy scarf. All in all I'm happy with the result. I plan on giving it to my student teacher and I promise not to wear it (too much) this weekend.