This idea revolves around the computer/book used as a Hitchhiker's Guide to the Galaxy
Shown here it opens like a book with the top half being a LCD, and the bottom being a set of keys.
To mod this into an effective case, the side facing the user could be made into a simple disc reader popout. The right or topside used for Ports/Jacks. Instead of using the LCD as the computer's full screen, it could be used simply to display something simple and aesthetic, to make room for internal peices of hardware, or used to display current system properties such as (heat, power, etc.)