In the pursuit of a möbius scarf that has a center line that stretches with the fabric, I have twisted my brain inside out, backwards, and forwards. I finally sat down and drew what I wanted.

I used different colored lines to trace how the crochet stitches should go.

With a little experiment to verify my thought process, I then used crochet symbols over the sketch to solidify the plan.

The foundation chain is not strictly a chain, but a connected series of loops. Most crochet patterns start with “chain x number”, but not this one. I only illustrated a single repeat for the subsequent rows, as that is all you need. Each row is offset from the previous row. I’m not going to give a specific pattern for a specific size or number of rows, but I will attempt to put into words what my drawing shows, for those that may need it.
quadruple double crochet (qdc): yarn over 5 times, insert hook into work, (yarn over, pull through two loops) six times
Treble crochet (tr): yarn over 2 times, insert hook into work, (yarn over, pull through two loops) three times
Foundation chain (row 1): chain 8, *quadruple double crochet (qdc) into the fifth stitch from the hook, chain 11, repeat from * to desired length, qdc, chain 3, join with a slip stitch to beginning chain.
Row 2 (and all subsequent rows): chain 6, mark third chain, slip stich in 5 chain loop, * chain 3, tr into middle of six chain length, chain 5, tr into same stitch, ch 3, repeat from *. Chain 3, tr, chain 5, join with slip stitch at mark, 3 slip stitches to get to next starting point.
To make this Möbius, when you come round to the mark, give the foundation chain a slight twist and crochet on the opposite side. Each round will go on both sides of the work (the magic of Möbius).


Now to make an actual scarf!

