Apple files patent for phone with wrap-around display | Engadget
The patent involves building a device from an open-ended transparent body (of glass, for example) that becomes a full wrap-around display when a flexible AMOLED screen is unfurled within it. It doesn’t imagine all that real-estate will necessarily be used at once, though, and includes details of a “detection mechanism,” such as a camera and facial recognition software, which would determine how much of the screen you can see, so that power is only sent to the parts that are in view.
Apple Insider notes that the patent was first filed for in 2011.

