Sure, here's an example of a game where you can click on a cube to either hide it or rotate it:
❒
In this game, you'll see a red cube displayed on the screen. When you click on the cube, it will either hide or rotate randomly. The cube element is represented by a pictogram "❒". The hiding of the cube is achieved by setting its `visibility` CSS property to 'hidden', making it disappear from the screen. The rotation is done by setting the `transform` CSS property with a random rotation value in degrees.
Please note that this is a simple example demonstrating the functionality you requested. You can further enhance the game by adding more cubes, keeping score, or adding more interactive elements.