A tilting platform assembly comprises a base member having a dome shaped upper surface portion, and a platform member having an upper playing surface and a concave shaped lower surface portion, the concave shaped lower surface portion corresponding substantially with the dome shape upper surface portion of the base member and being movable relative thereto. A mechanism is provided for selectively fixing and releasing the dome shaped upper surface portion of the base member relative to the concave shaped lower surface portion of the platform member to permit the top playing surface to be disposed at a plurality of different orientations.