by flat or curved surfaces where straight lines can be drawn from one parallel face to the other fig6 shows an enlarged view 605 of two of the vertical members 520 from the grid 600 where the members are in the shape of solids whose bases are parallel polygons having curved surfaces joining the two polygon bases for the vertical member a rectangular base connects with two similarly oriented curved sides at an angle less than 90 degrees the sides connect with a second rectangular base opposing the first rectangular base where the width of the first rectangular base is greater than the width of the second rectangular base the sides and bases connect with respective curved sides in other embodiments the bases may connect with non curved or straight sides such solids have been observed to provide exceptional structural integrity other forms of the horizontal and vertical members could be useful and selected depending on the parameters of performance that are to be provided by the total structure in one embodiment the safety surfacing tile 100 is made of solid resilient rubber including the horizontal and vertical members 510 520 as explained above the individual vertical members 520 have a solid shape where a narrow base of the vertical member.