Mobius Ribbon - Paper Style

 From:  AlexPolo
11832.1 
Hi All, Trying to model a mobius with the same properties as a paper mobius strip so when flattened retains is parallel strip feature as I want to run some type down the strip and try and roll it into shape. I have tried 2 methods in modelling flow and sweep methods both give same result in that the flattened shape is distorted even though I am starting with the same flat strip.

Any advice on what I could be missing or another workflow would be much appreciated.
thanks
Alex.