>>12716382Topology states there are no oriented 1-D manifolds, and hence no 1-D variant of the mobius strip.
Let's say we construct a new number system, say, the circular-Reals, where we glue +infty and -infty together into a new term, and call it trefoil. Then do 1-D orientations exists in this new number system? If so, could one construct a 1-D analog to the mobius strip?