Basically it's multiple lenses next to each other, each capturing a small slice on the 35mm film. Every lens has it's own shutter, which is triggered at exactly the same time.
This wasn't too involved and quite cheap to implement with analog tech in the 80s/90s, but if you want to do the same thing with digital there's quite a bit more to consider. Here's a cool video of someone building a digital stereo camera: https://www.youtube.com/watch?v=_aofxbH0elo
The hard part with digital boils down to: Cheap camera modules are hard to calibrate to the same parameters and sometimes impossible to set focus, so pictures look the same. And taking pictures takes quite a bit of processing power, so if you want to take 4 pictures at once it gets a bit tricky with just a cheap raspberry or similar.
This is one option, trading ease of use and low cost for lower picture quality and less light.
*ouch, I feel old
[0] "In 1878–1879, Muybridge made dozens of studies of foreshortenings of horses and athletes with five cameras capturing the same moment from different positions." via https://en.wikipedia.org/wiki/Bullet_time
These days you can just capture video and make a 4d Gaussian splat
Inside of every old man, is a young man, going ”What the hell just happened?”.