The foldable phones territory is still unexplored, so OEMs are still experimenting with the design. LG's latest patent seems like something worth exploring although, we don't know if it would make it to broad daylight as most patents don't.
The sheet describes a phone that can wrap around its edges and a magnetic snap keeps the display attached to the back side of the handset. When unfolded, you can take advantage of the full screen real estate for a tablet-like experience and when wrapped, the part of the display that isn't visible turns off.
If somehow this concept materializes, it would probably be called Flex. Bendi or Foldi. At least according to the names LG trademarked recently.
Source (in Dutch)