Any twisty puzzle like Rubik's cube, including those which cannot be mechanically built, can be simulated on a spherical display. The gold standard is whether it is as fast and easy to manipulate as speedcubing.
Sliding block puzzles on a spherical manifold. Go 囲碁 on a sphere.
Not just touch sensitive, but we need pressure and torque sensitive surface to distinguish between the touch of merely being held and a gesture indicating an action.
Perhaps the killer app for the crystal ball.
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