You could make a moebius cowl by knitting a strip and then making a twist and joining the ends but thanks to knitters like Cat Bordhi and the.
Knitted Möbius Bands. A Möbius band, a.k.a. Möbius strip, is a nonorientable surface (has only one side) with a boundary. The most common way to make one is.
Craftster user, Min, has posted a tutorial for how she created this cool Möbius strip scarflet. I love the way it lays around the neck.
In this video, noted knitting writer Cat Bordhi ("A Treasury of Magical cast on and first round of how to knit a scarf based on the Möbius strip.