A polymeric web exhibiting a soft and silky tactile impression on at least one side thereof is disclosed. The silky feeling side of the web exhibits a pattern of discrete hair-like fibrils, each of the hair-like fibrils being a protruded extension of the web surface and having a side wall defining an open proximal portion and a closed distal portion. The hair-like fibrils exhibit a maximum lateral cross-sectional diameter of between 2 and 5 mils, and an aspect ratio from 1 to 3. Methods and apparatus for making the polymeric web utilize a three-dimensional forming structure having a plurality of protrusions being generally columnar forms having an average aspect ratio of at least about 1.