Conductor and musical lexicographer Nicolas Slonimsky composed a “Möbius Strip Tease” in 1965, while he was teaching at UCLA. The text reads:
Ach! Professor Möbius, glörious Möbius
Ach, we love your topological,
And, ach, so logical strip!
One-sided inside and two-sided outside!
Ach! euphörius, glörius Möbius Strip-Tease!
Slonimsky described the piece as “a unilateral perpetual rondo in a linearly dodecaphonic vertically consonant counterpoint.” The instructions on the score read: “Copy the music for each performer on a strip of 110-b card stock, 68″ by 6″. Give the strip a half twist to turn it into a Möbius strip.” In performance the endless score rotates perpetually around each musician’s head. (That’s Slonimsky above, trying it out with John Cage.)
The score is here if you’d like to try it yourself. Be careful.