There's one thing Nintendo makes very clear in their patent. They want people to rub bananas together. Banana-rubbing is the major focus in this patent, which shows off devices that can communicate with one another by touching or being in close proximity, and then create a shared experience. As you can see, you can place the screens together to create a single image, and then also use the touch screen to rub that sexy-looking banana across all the devices.
As you can see, Nintendo has some non-banana related ideas for games as well. Hopefully if they do create this game, they at least make banana-shaped pins, or throw a banana reference in there somewhere.
We aren't quite sure if this is something the Switch screen can do, or if the patent is for a new device altogether. The screens in the patents certainly come across as Switch screens. See what you can glean from the patents for yourself, which are right here.