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.

They do this. This is the coolest one IMO:

https://mantle3d.com/

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