The invention concerns a mat system comprising a plurality of individual mats (1, 1'), each with a top side (2), a bottom side (3) running parallel with it, and at least one rectilinear side edge (7). The rectilinear side edges (7) of the individual mats (1, 1') each have at least one undercut recess (6), corresponding to connecting means (10, 10', 10") which have a shape enabling, by engagement of each one of their halves in an undercut recess (6), a connecting of two mats (1, 1') along their rectilinear side edges (7). The individual mats (1, 1') and the connecting means (10, 10', 10") 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 and those in the arrangement of the undercut recesses in the individual mats, it is proposed that the connecting means (10, 10', 10") each comprise two interconnected circular segment regions (11, 11') with a radius R, R', wherein for the spacing A (A, A', A") of the centre points (M, M') of the circular segment regions (11, 11') the following relation applies: 0.8 ˆ— R + R €² < A < 1.3 ˆ— R + R €² . The circular segment regions (11, 11') can rotate thanks to their circular segment shape in order to even out tolerances in the position of the undercut recesses (6).