Without warning, my peace and serenity were interrupted by both of my copilots separately shouting, "Stop!" Recovering from my stroke, I directed my attention toward an A380 that appeared to have emerged from the darkness as it traveled toward us, moving in the opposite direction on a taxiway parallel to the one we occupied. It took only a split second to make a visual sighting of the A380's winglet as it began to fill the windscreen on my side. I abruptly moved my feet to the top of the rudder pedals, sending 3,000 psi of hydraulic pressure to 12 brakes. It would be an understatement to say that our airplane stopped.