Abstract: A free standing modular mat system for creating various selectable combinations of mat configurations at the site of installation, first and second mats having parallel ribs on the bottom and parallel spaced ribs on the top at right angles to the bottom ribs, a top connector having a body attached to the first mat and an elongated downwardly facing groove running parallel to the first mat, a bottom connector attached to the second mat and extending outwardly along the second mat toward the first mat, the connectors having inter-engaging mating grooves formed with interfering interlocking enlarged tips extending into the grooves, the end of the mat system may terminate in a transition piece having an angled surface supported by downwardly projecting spaced flexible flanges and the transition piece terminating in a solid tapered tip.