How to control hundreds stepper motors with one arduino uno?

Hi,
You could use the electric automotive door lock units. some are now rack and motor type.
Use an array, say 4 x 25 in each bank.
You will only be actuating one at a time so power requirements won't be astronomical.
This has been done many times before so it is not impossible.

Tom.... :slight_smile:
A tourist parks up in Queensland use this method as their locker system, for you to store your gear for the days visit.

http://www.gearbest.com/car-gadgets/pp_143912.html?currency=AUD&gclid=CNKgwrr07MUCFUxwvAod4JcAFg