When they say "grand" arcade they are NOT messing about.

Surely that would imply a thousand floors?

Yes, in the same way as a grand piano has 1,000 keys.

Surely a "grand" arcade would be 1023 floors? You know your engineering is getting good when its exponential increase outstrips that of the size of your standard integers. (For reference, a car park 4294967295 floors high would reach something like 1/3 of the way to the orbit of mars. Of course, you might introduce some kind of fractal squeezing to fit an endless carpark in a finite height, but then some buggers going to come along and Hilbert you up :))

I'm fairly sure going up a spiral ramp that goes a third of the way to Mars would make anybody too dizzy to park! Not to mention e.g. the lack of air, and all that.

Still, shoppers would be even more inclined to buy things in chain stores then.

I calculate you'd experience about 6G at the top, climbing mightn't be necessary. But that wasn't as insane as I expected it was, I'm not sure if I multiplied correctly. The *building* I'm sure would be destroyed though.