A recoiling energy absorbing system is interpositioned between an outer shell that is exposed to percussive impact and a foundation. An energy absorbing layer with friction lugs is positioned inside the outer shell. The energy absorbing layer includes one or more energy absorbing modules with optional veins and drain holes. At least some of the modules are provided with one or more energy absorbing units that extend from an upper basal layer. At least some of the energy absorbing units are provided with a flexible wall that extends from the upper basal layer. The energy absorbing units at least partially absorb energy generated by an impacting object due to the flexible wall bending inwardly or outwardly and recoiling nondestructively after single or multiple impacts to its undeflected configuration.