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
So instead of starting with a "rectangle", you would start with a shape more like this, and after you "Shrink and Stretch" it with something like those tools I linked too, it would roll into a rectangle that met up at the edges into a mobius... (This is metal on the table. Not in MoI) I suppose figuring out where the stretch and pinch is, is your point and where you mean you are at. I think the previous video can help with that part along with this demo
There is alot of calculation that would go into being able to do it that way. I would just get it close enough to hit with a hammer. Some young kid may do the calc and do precision work!
Many thanks for your detailed work flows very informative still getting my head around the twists and turns I will try Lamina see what results I can pull out off that.
I put this together today thin gauge steel took some work hammer and heat the shape is OK but not flowy and smooth definitely loaded with tension. This is the general direction I envisage it but in a much thicker gauge steel it perhaps maybe just a blacksmith exercise rather than a cad and CNC approach. Perhaps if I build a few more I maybe able to see where I can pass the metal through some rollers in different directions and get the planes flowing smoothly.
Hi Alex,
Have you considered a disk shape to make a Möbius strip?
It seems that making a Möbius ring out of a rectangular ribbon shape generates so many tension lines in different directions and requires a lot of force to tame it—but on the other hand, a disk-shaped ribbon produces a much smoother result with far less tension.
Here's a test on paper: I just cut the disk on the red line and then twisted it to form the Möbius shape.
pinch and stretch.jpg
