The technique used to make this structure, called Jacob's Ladder, is also used for children's toys and for making trick box lids and other items. But it does make an interesting book format too. It can be opened like a traditional codex, or like an accordion, or it can be displayed flat. And if you are holding it and drop the pages down, you can make them flip over each other and climb down the ladder.
Creating Handmade Books by Alisa Golden includes directions for making this structure.
My jacob's ladder book in action: