Here's my approach...

well since i'm to tired i simply imported 24 open lines forming the strip and then did two (open) lofts to create the moebius strip in MoI. I did that also a couple of years ago in ViaCAD and used 12 open lines for that. The construction of the lines i did in the following way. I created 12 circles which would form a torus shape and in each circle, consisting of 12 control points, (starting at 12 o clock) i drew one line until i reached 12 o clock again and then did a loft of those lines. Hope i explained it well enough.

Regards
Stefan