The disclosure relates to a covering system for a floor, a wall and/or a ceiling. The covering system includes a decorated side, a lower side opposite the decorated side and a plurality of interconnected covering elements. At least one conducting element is arranged between at least two of the covering elements in such a way that the at least one conducting element is at least partially visible on the decorated side. The at least one conducting element is configured to conduct a physical quantity, material or signals. The at least one conducting element includes an interface to a source or a consumer of the physical quantity, material or signals.