Our Winter project has just launched, with a small "practice piece" called Driftwood Infinity Necklace. It uses a true Moebius cast-on, called the Chain Infinity Cast-on (the tutorial for this special cast-on, along with this project file, is already posted at the winter group.) We are discussing various options for casting on a Moebius project and selecting materials.
BadKitten was kind enough to make these two short videos, describing what is unique about a Moebius Strip. In the first she just explains the difference between what happens when you just cast-on and join in the round with a twist, and make a true Moebius cast-on. It is all about having one continuous edge. In the second video she just geeks out a little as she talks about what makes the surface of a Moebius unique. I shot these using my digital camera and although the images are good the sound sucks. Turn your volume up and accept my apologies!