Blogging remotely but can link photo of what I am calling a Moebius Hug (Rav link).
Other people may call it Cat Bordhi's Purl Ridge Moebius Scarf.
A Moebius Strip is a weird mathematical shape with only one boundary and one side - the purple edging along what looks like two sides was just one continuous i-cord.
I cheated by turning my scarf around every three rounds so I could knit the entire thing (even though it is called Purl Ridge). This caused a slight mess at the turn point but nothing that couldn't be sewn over and hidden in the folds of the scarf.
The main yarn is Parrot Pants BFL Aran Aquamarine. The BFL is SO SOFT and I've received many admiring comments about the yarn colour. The purple is Dream in Color Classy - Visual Purple.
It is very warm and sits nicely around the neck. I'm very tempted to keep it for myself but it's a belated birthday present.