Hilarious Ways to mess with your players.

[Cealocanth]

IIUC, there's four separate fights going on, but you have to keep teleporting back and forth between them. It's not really 4-dimensional gameplay.

There's not only the four separate fights, but each fight is given a location in space/time that is relative to the other fights, as if the each encounter lines the inside of a hollowed out box. Each fight contains elements of third dimensional gameplay, such as height or depth below a certain point, but the only way to travel between these fights is to move ana or kata to their relative location inside this hyper-hollow box. I'd say that's about as close to fourth dimensional gameplay I can get without some serious overhaul of the combat rules.