I usually use the nickname moebiusband. If you google for moebiusband you can read on Wikipedia (Quote from the Wikipedia article):
A Möbius strip is a surface with only one side (when embedded in three-dimensional Euclidean space) and only one boundary. Its discovery is attributed to the German mathematicians Johann Benedict Listing and then independently August Ferdinand Möbius in 1858.
A Möbius strip made with a piece of paper and tape. (By David Benbennick - Own work, CC BY-SA 3.0, Link to original):
I first found the term in a completely different context, as the German title of a Science Fiction novel published in 1993: Begegnungen auf dem Möbiusband by British author Colin Greenland. I have to admit that by the time I didn’t know what it meant. It sounded mysterious and strange. Remarkably, the novel was originally titled Take Back Plenty. The German translation is titled after the first chapter of the original Encounters at the Moebius Strip. Anyway, ever since then, my nickname has been moebiusband.