Camera film - the sort of thing Kodak sold before it went out of business - resembled a strip of hard plastic. It consists of a series of stills that you could spool onto a reel. If you viewed them at speed, say 24 per second, you created the illusion of motion. Hence: 'moving pictures' or 'movie'.
If you decrease the rate - as for a cheaply-produced cartoon - the illusion suffers; the action becomes jerky. To improve the effect, you increasing the frame rate.
Since a movie is linear, the film strip has a start and an end (with an occasional unintended break when the celluloid melts). But what if the filmstrip extended into two dimensions? What if it was a film-plane? What if the projector were able to spool or scroll the film sideways or diagonally at any angle?
You could potentially select from a set of alternate stories.
An even better, a more up-to-date analogy, consists of Google Earth. Here, you have a gallery of film frames that you get to transverse and follow any road where it branches and intersects.
Come to think of it, any virtual reality game would do the trick also.
