A single-use nesting cup for use with mechanical comminution devices having a spinning drive mechanism for pulverizing pills into powder is disclosed. Each cup has a textured base surface that provides for a more efficient grinding and crushing of pills inserted between two such cups when an upper cup is spinningly brought to bear down on a bottom cup. The textured surface of each cup base has a rotationally symmetric three-dimensional wave configuration with each wave arcing along a curve from an outer cylindrical wall of the cup spiraling in toward a center point of the base of each cup. The crests and troughs of each wave act as grinding edges while the overall symmetric wave design acts to maintain the one or more pills and the resulting powder in the center of the bottom cup.