A stepper motor with a controller attached to a roller which goes the whole length of the tapes but only just not making contact. Then per-tape you'd need a piano hammer like object attached to a lever on the front side, with something ferrous attached to the other end. Finally a little electromagnet near the ferrous end hooked up to a set of multiplexers that are then hooked up to your Pi.

Then you'd basically have the Pi run the roller and enable the magnets on any of the tapes that you'd want to move. That way you could in theory run between 1 and all of them in any given direction at the same time

Bonus points if you attach different note bells or something on the levers so they each make a different sound when they actuate.

You might need something like a ball bearing on the tip of the hammers, but maybe just a smooth enough surface would do it.

(This is entirely not practical, but I still kinda want to build it)

I feel like there could be a market niche for it. Replace the tapes with something... more aesthetically pleasing, maybe hook it up to a remote so you change it between a few preset shapes easily, maybe a pair of motion sensors as an option so that it "opens" on its own, and I think there is some appeal to this as some sort of room divider or something.

Rich people will spend money on stupid things they'll never use just to flaunt their wealth, so put a big enough price tag on it and I'm sure there would be some kind of market for it.