Transverse profiles of ion currents were measured in the near wake zone of bodies having various geometries in a streaming plasma. The profiles were obtained for an approximately constant range of plasma properties, namely, Te~900¿K, S~7, and R0/&lgr;d~12, where Te is the electron temperature, S is the 'Mach' number, and R0/&lgr;d is the body radius to Debye length ratio. In addition, ϕs, the body potential relative to the plasma, was varied systematically in the range -3--4.1 V for each body. It was found that the structure behind bodies presenting a circular cross section to the plasma flow exhibits a single axial current peak, whereas for bodies presenting a square or rectangular cross section the downstream structure resembles a relatively broad mesa with two or more peaks on top. The body's dimension in the flow direction does not alter the gross features of the near wake structure but primarily determines the relative amplitude of the peak structure and the downstream distance at which it occurs for a given ϕs.