It's not very clear what's going on from the video. It looks like you're taking a rectangle and joining opposite ends up (i.e. making a topological
torus), but just drawing part of it bulged out to give the illusion of it being a sphere? This is not uninteresting, but it's not a new discovery - we've had games on tori since Asteroids, if not even earlier. Rendering it deceptively to look locally like a sphere is something different, but isn't going to introduce any new gameplay. Sorry that this is less cool than you'd hoped.
If you make this into a game, could you make it very very clear to the player that this is not a sphere? I worry that if people don't have very well-developed geometric intuition already, that this could hurt their notion of what a sphere is shaped like. It might seem silly, but I've had to teach people geometry sometimes, and I recall one occasion where I had the hardest time convincing someone that the shape you get when you join opposite ends of a piece of paper is a TORUS, not a SPHERE (even after showing them a video like what I linked above). There's certainly a place for games fucking with you by deceiving you about the geometry of the space you're in, but if someone doesn't already have an intuition of what a sphere is like and what a torus is like, showing them a torus disguised as a sphere will just mislead them rather than surprise them.
edit: I mean, make what you like, just be aware of what it might be teaching players.