Abstract: The present invention relates to an elastomeric support surface having a network of sculptures.According to the invention, the support surface is formed with a transverse network of narrow channels (2) having periodical widened portions (3) in each channel, a tong (4) of a width less than the width of the walls defining the channel and of a height equal to the depth of the channel being provided axially in each widened portion (3).Such a support surface is notably designed for forming the treading surface of so-called marine shoes in order to drain-off the water which can accumulate inside the sculptures.