Rubik's Clock Emulator

If you haven't noticed, good old Rubik (of Rubik's Cube fame) has come up with another dastardly device to frustrate people the world over. It's called "Rubik's Clock" and it's a "device" with two faces with 9 "clocks" on each side, 4 buttons and 4 "wheels" that you can move to move various combinations of clocks on both sides of the device, depending on which wheel is turned and the positions of the buttons. The object of all this is to get all clocks on BOTH sides to point to 12 (the "clocks" are really dials and only have 1 "hand") all at the same time. It's even harder than it sounds.