Samsung basically invented the super-sized phone with its Galaxy S series of elite handsets. But now that the five-inchish display has become old hat, the Korean manufacturer has begun to experiment with wholly new display form factors.
According to the unnamed sources, the three-sided display would wrap around the edges of the phone, so that messages could be read from an angle. The new multi-angle display would likely be first available in the Galaxy S or Note series.
The new form factor utilizes a flexible OLED screen technology known as YOUM, the same used in the Galaxy Round. YOUM has also been demonstrated to be bendable and flexible--though its Round debut was in a static (if curved) form factor.
Samsung perhaps provided a preview of its wrap-around display phone at this year's CES. As you see in this video of the introduction of a YOUM-fitted prototype, notification information can be displayed on the side via the curved display:
In a way, this three-sided display is a natural evolution of existing technologies--a logical successor to the LED indicator.
However, the real excitement is probably beyond phones, where this capability can lead to all new crazy devices that bend, roll-up, and just get all-around science fiction-y.