A first cover part and a second cover part of a cover system adjoin one another in a first state and together form a closed surface with four corner regions. In a second state, the first edge of the first cover part is movable in a definable direction through a first definable angle about an axis which extends parallel to an imaginary straight line through the ends of the first edge of the first cover part, the first edge of the second cover part is movable in the definable direction through a second definable angle about an axis which extends parallel to an imaginary straight line through the ends of the first edge of the second cover part, and the first edge of the second cover part is movable in a definable direction by a definable distance. A housing can include the cover system.