You should post a video or screenshot of how the game looks, to support your question. We can't know what you're after without seeing it.
Pop-up book engineering deals with planes and angles considerably.
Once you understand how everything works, that each fold on a piece is equivalent to a hinge joint that breaks the piece in separate planes, then you can implement it with a physics engine perhaps.
After reflecting some more, you can do something like that with just skeletal animation. It's easier than using a physics engine (which would require more accuracy from your layout), and you will have absolute control over how the animation plays since you will animate it by hand.
You would place and align the bones over each fold of a piece, and the base bones will be linked\parented to the pages that they're "glued" onto.
If you're using 3DS Max I can help you to some extent.
Another example of a "pop-up book" effect in games is from Yoshi Story, the level-select screens. But in this game they're not as exact as you would have in a real book, they're just there as an embellishment: youtube.com/watch?v=fM4JLIqoHso&t=1m33s