Could concept be applied to submarine vehicles to exponential increase their resistance to pressure at depth?
The real issue here is that there's not much point in it, as the very thing that makes this useful (the ability to fold it up) would also make it collapse easily in a pressurized environment. You'd also have to deal with preventing leaks if you wanted air inside, likely by adding an outer hull, which would then defeat the purpose.
The weak points then turn out to be joints, material defects (the famous Titan failure), windows and other piercing points, and any unexpected shear forces.
Adding 1 to _____ causes a doubling of resistance to pressure, adding 2 is a quadrupling, adding 3 is an octupling, what goes in the blank?