A system for making a relatively large surface comprising fragments which are arranged in a mosaic, comprising at least two relatively small mosaic elements which are each provided with a plurality of fragments laid next to each other and formed into layer, the layer comprising a toothing on a longitudinal edge, while a first of the at least two elements can be fittingly linked up to a second of the at least two elements when the toothing of the first element and the toothing of the second element are fitted together. The invention also relates to a mosaic element for use in such a system. The invention further relates to a method for making such a mosaic element.