The invention concerns a mat system comprising a plurality of individual mats, each with a top side, a bottom side, and at least one rectilinear side edge. The rectilinear side edges each have at least one undercut recess, corresponding to connecting means which enable, by engagement of each one of their halves in an undercut recess, a connecting of two mats along their rectilinear side edges. The individual mats and the connecting means each comprise at least one layer of foam material. In order to equal out even large tolerances in the orienting of the individual mats to each other, the connecting means each comprise two interconnected circular segment regions with a radius R, R′, wherein for the spacing A of the centre points of the circular segment regions the following relation applies: (I) 0.8*(R+R′)