Well, I'm pretty certain that, say you cast it, presuming it's on your opponent's field, it would be to your left. Say that, from your perspective, it's an Armagio, a Giant Frog, and a Schrodinger's Cat. It would be on the Armagio. It would be flipped around for your opponent; he'd have the Cat to the left, then the Frog, then the Armagio. It's on his right.
And honestly, I doubt it would be possible.