I made an artwork in 2013-ish, where I attached an aluminum foil to a good DC motor. I mounted it from the ceiling with 2 stepper motors to control height and one orthogonal axis. The motor would unwind the foil by accelerating quickly in either direction (CW/CCW). By changing directions it would also create folds and stabilize the emerging shape: https://imgur.com/a/gaRKGtQ

I always imagined an additional stepper motor to cover an area like a delta 3D printer and liked to think about the difficulty in creating the 3D software, and the need to find a solution to simulate the unwinding-into-shape through some physical model.

EDIT: unwinding GIF here: https://imgur.com/a/VP3gEiv

My college had a 'rapid prototyping' machine circa 2000 that worked in paper. Roll out a layer of paper, cut through the top layer, something something glue, roll out the next layer, etc. No reason that couldn't work with aluminum foil.

I mean, one of the most useful metal fabrication techniques is already folding thin sheets of metal; I learned it in shop class decades ago and it's still a very relevant skill. Some fun stuff here: https://www.youtube.com/watch?v=dS5kwdaNhZo

They do this. This is the coolest one IMO:

https://mantle3d.com/