Described is a method and a system for providing user interaction with various devices that incorporates adaptable visual and haptic stimuli. Both the visual and tactile elements of this user interface are aligned with each other and are animated in such a way as to convey more information to the user of such a system than is possible with traditional user interfaces. An implementation of the inventive user interface device includes a flexible and/or stretchable two-dimensional (2D) display membrane covering a set of moving parts, forming a hybrid two-dimensional (2D) and three-dimensional (3D) user interface. The flexible display membrane provides detailed imagery, while the moving parts provide a low relief tactile information to the user. Both the detailed imagery and the low relief tactile information are coordinated together as to the timing, to enable a coordinated user interface experience for the user. Optionally, various sound affects may also be provided, in a time-synchronized manner with respect to the imagery and the tactile information.