A tile having a support layer and a wearing layer. The wearing layer and the support layer are polygonal. The edge regions of the support layer have projections and cutouts, the projections being intended to engage in a positively locking manner in the cutouts in the support layer of adjacent tiles. The tiles may also have an intermediate layer which is electrically conductive. After the tiles have been laid, neither cutouts nor projections are visible from above, since the tiles are mechanically secured by the support layer.