Here is the video showing the "reverse thinking" which would be to create a model of the mobius and use THAT to cut out a piece of metal and why that gets more difficult.



The important part to note would also be where I draw a "curve into the end" of my unwrapped surface. This would also be true for "ALL SIDES".... For all the stretching or shrinking to actually "Meet Up" at the end, the PRE-Metal would need to start off with the material to shrink and bend. A much more complex shape and approach. You would need to NOT be starting with a rectangle, But a doubly curved piece of Sheetmetal