Touch interaction with a curved display (e.g., a sphere, a hemisphere, a cylinder, etc.) is enabled through various user interface (UI) features. In an example embodiment, a curved display is monitored to detect a touch input. If a touch input is detected based on the act of monitoring, then one or more locations of the touch input are determined. Responsive to the determined one or more locations of the touch input, at least one user UI feature is implemented. Example UI features include an orb-like invocation gesture feature, a rotation-based dragging feature, a send-to-dark-side interaction feature, and an object representation and manipulation by proxy representation feature.