Once one got the idea to make a beaded Mobius strip, it is then straightforward to construct different kind of Mobius bands at next level of complexity.
Here is a simple beaded Mobius strip with three 180 degree twists, that I just made in the Starbucks. Similar to the standard Mobius strip with one 180 twist, this one is also a non-orientable surface. Of course, one need to weave a longer strip before one can glue two ends together. I believe that the shape of beaded model of this kind of Mobius strip should be similar to the optimal shape obtained by van der Heijden again.
An interesting little book on the Mobius strip by Pickover.