The idea came from the instruction that you see on many crochet patterns: ‘be careful not to twist the chain’ so my thought was… what happens if you do?

The answer of course is the möbius strip

The beauty of the möbius loop for knitting and crochet is that you get to work either side of the cast on row/foundation chain, so that you start your work in the middle and go outwards:

This was a bit of a nightmare when trying to crochet and provide a pattern for gloves, but I think it at least provides an interesting creation experience and a nice geeky item of clothing (even if they can be a challenge to work out how to wear).