Content can flip between back and front displays
The second design shows a screen that wraps around the full body of a device, but it includes sensors that account for where a user may hold the device. This design would allow the content to flip between the front and back screens but will shrink the display away from the user's hand depending on how they are holding the device.
Display curves under the bottom of the smartphone
The third design shows a smartphone with a display curving continuously under the bottom of the device instead of around the side. Such a device would likely have functionalities similar to the first two, just a different design. LetsGoDigital noted that Microsoft patented a similar design in 2014, but has yet to release such a device to the market.
Of course, Samsung hasn't confirmed it's going to make any of these designs yet. Instead, they show how the company is thinking about the smartphone of the future.
Samsung also has numerous patents for smartphone designs and functionalities that have yet to be released to the market. There is no guarantee that any of these newly patented curved-display designs will ever be seen on actual devices. However, it is not surprising to see more display technologies coming from Samsung while rumors about its Galaxy X foldable smartphone remain up in the air.
Samsung has long been expected to release a device that can fold open and closed like a book, however, much of that device remains a mystery. That said, these patent ideas are good indications that Samsung hasn't given up on finding new ways to make its curved displays interesting.