Or, with the aid of a bit of gaze tracking, have the eyes subtly follow you around. Or an element of the picture that's always where you aren't looking, and flits from place to place while your eye saccades...
Use gaze tracking to have it change when nobody's looking at it. It's a different picture now and then but you'll never catch it changing no matter how long you watch.
I think all these ideas will be best realized when we can have entire walls made of programmable, maybe electro-organic with properties like chameleon skin, material that can be set to display anything we want.
Go one step further and it can be even better; have them also emit air with different temperatures and smells, so that I can have one wall displaying an open field, for example, complete with the feeling of a fresh scented breeze coming from that direction.
Ray Bradbury anticipated such a total immersive experience in his book Fahrenheit 451.
He was not so sanguine about it, as he saw it as a potential pitfall which could lead people to lose their humanity in a cloud of vague emotions and indistinct narratives. It would be more pernicious than a sensory deprivation chamber because the total immersion would lull its users into a state of unfocused, passive complacency. By contrast, wrestling with a worthwhile book would sharpen the mind and will by making the reader aspire to meet the standards of the text.
More interesting is the moment when this future is more evenly distributed and the technology is so cheap that we have animated decorations on toilet paper.
Wait until this can be embedded in cards powered by what light they can absorb and, I dunno, the kinetic energy of shuffling them. "Hey wait last time I looked at this card her eyes were closed..."