Have you ever made a paper strip where you put a half-twist in the strip before taping the ends together and then put a pencil down on the strip and then pulled the strip continuously without lifting the pencil and what happened when you finally went all the way around?
Okay, yes. I wrote that question crazy because Moebius loops are crazy. They can be made with crochet OR knitting and they are lots of fun! Cat Bordhi has a cast-on demo on YouTube where she demonstrates her technique that actually bypasses the need to graft the ends of flat-work to make a Moebius scarf or other apparel that includes the twist. I first heard mention of and saw a picture of the cast-on on the Yarn Harlot's site. As soon as I saw the photo, I knew how to make the Moebius knitting loop; it's that easy!